diff --git a/modules/.ipynb_checkpoints/module6-checkpoint.md b/modules/.ipynb_checkpoints/module6-checkpoint.md new file mode 100644 index 00000000..f8272182 --- /dev/null +++ b/modules/.ipynb_checkpoints/module6-checkpoint.md @@ -0,0 +1,80 @@ +# 6) Bayesian Statistics + + +```note +## Lab 6: Bayesian Statistics + +**Lab 6-1: A Bayesian Example** + +A medical testing company has developed a non-invasive test for Down’s syndrome in the first two months of pregnancy. This test can correctly identify Down’s syndrome by giving a positive result 98% of the time (true positive). Therefore the probability of a false negative is 2%. This text can correctly identify when the fetus does not have Down’s syndrome by giving a negative result 97% of the time (true negative). Therefore the probability of a false positive is 3%. For this example, assume that the observed probability of Down’s syndrome in a random sample from a large number of observations is about 1 in 1,200. + + **A.** Draw a tree diagram for this problem as you work through this example. + + **B.** Using Bayes’ theorem, estimate the probability that a fetus has Down’s syndrome given that the test result is positive. Are you surprised by the answer? What is the fundamental problem with this test? + + **C.** How accurate would the test have to be to achieve a 50% probability of having Down’s syndrome given that the test result is positive (true positive)? (**Note**: In this problem, try solving for the accuracies of both the positive and negative test results that will give you a 50% true positive rate. It may not be possible to achieve a 50% true positive rate with one or the other.) + + **D.** Estimate the likelihood that the fetus does not have Down’s Syndrome given that the test result is negative (true negative). Is the test more useful in this framework as a screening step when trying to decide to use more accurate, but also more invasive, tests? + +--- + +Download the lab and data files to your computer. Then, upload them to your JupyterHub [following the instructions here](/resources/b-learning-jupyter.html#working-with-files-on-our-jupyterhub). + +* [Lab 6-2: Bayesian Statistics](lab6/lab6-2.ipynb) + +``` + + +## Homework 6: + +### Problem 1: Continuous Bayesian Estimation of Flood Frequency + +The "[100 year storm](https://en.wikipedia.org/wiki/100-year_flood)" is a storm with a rainfall total that would on average be met or exceeded only once every 100 years, and therefore the storm has a 0.01 chance of occurrence each year. For any "k-year storm", its probability of occurrence in one year is 1/k, where k is the return period in years. Infrastructure is often designed to handle the flooding due to some k-year storm. + +Based on long-term climate records for New York City, the 24-hour duration, 100-year return period rainfall was previously estimated at 7.2 inches. This "7.2 inches in 24 hours" storm (the "100 year storm") has been used to design infrastructure in New York City. When this design limit is exceeded, flooding can occur. + +During the 20th century, this limit was exceeded only once, during Hurricane Floyd in 1999. However, a storm in 2007 produced 8 inches of rainfall in a 24-hour period. Another storm in August 2011 again exceeded 7.2 inches in 24 hours. Hurricane Irene in September 2011 exceeded this limit yet again, and so did Hurricane Sandy in October 2012. This happened again in September 2018 from Hurricane Florence, and then Hurricane Ida broke rain records in September 2021. Fortunately, this limit was not exceeded in 2022. The table below summarizes the time periods and the number of times this design limit was exceeded within each time period. + +Note that, unlike what you will do in many hydrology classes, which is to calculate the return period across a range of different precipitation or streamflow values, we are focusing here only on the probability of 24-hour storms exceeding 7.2 inches of rainfall because this is a critical design number for New York City. If you are interested in city planning in New York around floods, they released a [design plan](https://www1.nyc.gov/assets/orr/pdf/publications/stormwater-resiliency-plan.pdf) in May 2021. Note they use different rain thresholds for different design elements (e.g., sometimes hourly rain rates matter more), so the actual critical design numbers vary more than what we're examining here. You may also be interested in reading recent news about this problem. One from [NPR](https://www.npr.org/2022/10/29/1131608305/a-decade-after-sandy-hurricane-flood-maps-reveal-new-yorks-climate-future) and one from the [New York Times](https://www.nytimes.com/2022/10/21/realestate/sandy-hurricane-ida-flooding.html). The news articles are not required reading to do the homework. + +| time period | # of years | # of storms | +| --- | --- | --- | +| 1900-1999 | 100 | 1 | +| 2000-2009 | 10 | 1 | +| 2010-2019 | 10 | 4 | +| 2020-2022 | 3 | 1 | + +In this problem we will use Bayes’ Theorem to see if the 7.2-inch storm is still a 100-year storm. In other words, we want to find what k-year storm 7.2 inches in 24 hours corresponds to, if not 100-years. + + **A.** Download and plot the prior pdf of a >=7.2-inch storm occurring in a given year from the data file [NYC_precip_priors.csv](data/NYC_precip_priors.csv). This dataset shows the prior distribution of the chance that New York City will get a 7.2-inch storm in a given year, which has a mean p = 0.01, corresponding to 100 years (1/p = 1/0.01 = 100). + +(Note that the variable labeled “PDF” represents the probability of the storm frequency (or return period) falling within that interval and therefore includes the interval width, such that the sum of the pdf values alone equals 1, and the cumulative sum of the pdf is equal to the cdf.) + +There is some uncertainty about the original likelihood, so we want to determine: + - What are the mean and 95% confidence interval of the probability, i.e., where does 95% of the PDF fall between? + - To what k-year storm (expected return period) range do these values correspond? + +**B.** Apply Bayes' Theorem at each time period of interest (see table above) to update the the pdf for the 7.2-inch storm. + +P(A\|B) = P(B\|A) * P(A) / P(B) + +In this problem, A is the true likelihood of the storm’s occurrence, and B are the events we have observed. For the first time peirod, use the pdf from the data file as the prior pdf, P(A). For each subsequent time period, use the posterior pdf from the previous time period. The likelihood P(B\|A = p) that the storm would be exceeded m times in n years (event B) for a storm probability `p` (event A = p) is given by: P(B\|A = p) = `scipy.stats.binom.pmf(m,n,p)`, where `m` is the number of storms, and `n` is the number of years. + - Calculate and plot the posterior pdfs of the 7.2-inch storm’s probability after each time period. + - Calculate the the mean and 95% confidence interval of the return period each time. + + **C.** How much did the mean and 95% confidence interval return period change from the original prior return period to 2021? What does this indicate about the “true” frequency of the 7.2-inch-storm? To what k-year storm does this mean correspond to now? + + +### Problem 2: Project Update (CEWA 565) + +Provide an update on your term project. By now you should have acquired all of the data you need for your term project. + + **A.** Create 2-3 plots that illustrate your data. These can be time-series plots, histograms, CDFs, whatever is relevant to your data and your problem. + + **B.** Discuss the quality of your data. Do you need to take into account any erroneous values or uncertain numbers before you start your statistics? + + **C.** Write down at least two very specific questions that you will answer with your data. For each question, write down which statistical tools you will use to help answer it. + + **D.** Based on what you have so far, do you think that your project scope is about right for a 10 page paper, or do you feel that you need to either simplify things to make it shorter or add complexity to make it longer? If you feel adjustments are needed, how to you plan to address this issue? + + **E.** What do you anticipate being the most difficult parts of your term project? Do you have questions you would like help with or advice on? Write them here. \ No newline at end of file diff --git a/modules/lab1/.ipynb_checkpoints/lab1-3-checkpoint.ipynb b/modules/lab1/.ipynb_checkpoints/lab1-3-checkpoint.ipynb index 911b0824..24f56bab 100644 --- a/modules/lab1/.ipynb_checkpoints/lab1-3-checkpoint.ipynb +++ b/modules/lab1/.ipynb_checkpoints/lab1-3-checkpoint.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Lab 1.2" + "# Lab 1.3" ] }, { @@ -286,7 +286,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -300,7 +300,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/lab1/.ipynb_checkpoints/lab1-3_solution-checkpoint.ipynb b/modules/lab1/.ipynb_checkpoints/lab1-3_solution-checkpoint.ipynb index 253a4d82..be94c978 100644 --- a/modules/lab1/.ipynb_checkpoints/lab1-3_solution-checkpoint.ipynb +++ b/modules/lab1/.ipynb_checkpoints/lab1-3_solution-checkpoint.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Lab 1.2" + "# Lab 1.3 Solution" ] }, { @@ -694,7 +694,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -708,7 +708,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/lab1/lab1-3.ipynb b/modules/lab1/lab1-3.ipynb index 6ef78c03..24f56bab 100644 --- a/modules/lab1/lab1-3.ipynb +++ b/modules/lab1/lab1-3.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Lab 1.2" + "# Lab 1.3" ] }, { diff --git a/modules/lab1/lab1-3_solution.ipynb b/modules/lab1/lab1-3_solution.ipynb index 253a4d82..be94c978 100644 --- a/modules/lab1/lab1-3_solution.ipynb +++ b/modules/lab1/lab1-3_solution.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Lab 1.2" + "# Lab 1.3 Solution" ] }, { @@ -694,7 +694,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -708,7 +708,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/lab2/.ipynb_checkpoints/lab2-1-checkpoint.ipynb b/modules/lab2/.ipynb_checkpoints/lab2-1-checkpoint.ipynb new file mode 100644 index 00000000..7753e079 --- /dev/null +++ b/modules/lab2/.ipynb_checkpoints/lab2-1-checkpoint.ipynb @@ -0,0 +1,849 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Lab 2-1: Hypothesis Testing\n", + "\n", + "The Skykomish River in Washington state appears to have had a change in streamflow around the year 1975. \n", + "* Test for statistical significance of the observed change in the mean annual flood. \n", + "* Use a two-sample test, with alpha=0.05 (i.e. 95% confidence) and the z-distribution to define the rejection region.\n", + "\n", + "Why is it appropriate to use the z-distribution here? (consider the [Central Limit Theorem](https://en.wikipedia.org/wiki/Central_limit_theorem))\n", + "\n", + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import scipy.stats as stats\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.8/site-packages/openpyxl/worksheet/_reader.py:312: UserWarning: Unknown extension is not supported and will be removed\n", + " warn(msg)\n" + ] + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " date of peak water year peak value (cfs) gage_ht (feet)\n", + "0 1928-10-09 1929 18800 10.55\n", + "1 1930-02-05 1930 15800 10.44\n", + "2 1931-01-28 1931 35100 14.08" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Filepath to our excel file.\n", + "skykomish_data_file = 'Skykomish_peak_flow_12134500_skykomish_river_near_gold_bar.xlsx'\n", + "\n", + "# Use pandas.read_excel() function to open this file.\n", + "skykomish_data = pd.read_excel(skykomish_data_file)\n", + "\n", + "# Now we can see the dataset we loaded:\n", + "skykomish_data.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot peak streamflows per water year\n", + "fig, ax = plt.subplots(figsize=(7,4))\n", + "\n", + "skykomish_data.plot(x='water year', y='peak value (cfs)', ax=ax)\n", + "ax.set_ylabel('streamflow (cfs)');\n", + "ax.set_title('Skykomish River, Annual Peak Streamflow, (Gold Bar, WA)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "We are postulating that there was an change in peak flows around 1975. In other words, how likely is it that the mean of peak flows before 1975 comes from the same distribution as the mean of peak flows after 1975?\n", + "\n", + "To start, let's split the data in two:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Divide the data into the early period (before 1975) and late period (after and including 1975). \n", + "\n", + "skykomish_before = skykomish_data[ skykomish_data['water year'] < 1975 ]\n", + "skykomish_after = skykomish_data[ skykomish_data['water year'] >= 1975 ]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot our two time periods\n", + "fig, ax = plt.subplots(figsize=(7,4))\n", + "\n", + "skykomish_before.plot(x='water year', y='peak value (cfs)', ax=ax, linestyle='-', label='pre-1975')\n", + "skykomish_after.plot(x='water year', y='peak value (cfs)', ax=ax, linestyle='--', label='post-1975')\n", + "\n", + "ax.set_ylabel('streamflow (cfs)');\n", + "ax.set_title('Skykomish River, Annual Peak Streamflow, (Gold Bar, WA)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**What does the distribution of streamflows in each period look like?**\n", + "\n", + "Plot a histogram for each period:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(10,3))\n", + "\n", + "ax1.hist(skykomish_before['peak value (cfs)'], bins=10)\n", + "ax1.set_xlim((1e4,1.4e5))\n", + "ax1.set_xlabel('peak value (cfs)')\n", + "ax1.set_title('Skykomish River, Annual Peak Streamflow\\nHistogram Before 1975')\n", + "\n", + "ax2.hist(skykomish_after['peak value (cfs)'], bins=10)\n", + "ax2.set_xlim((1e4,1.4e5))\n", + "ax2.set_xlabel('peak value (cfs)')\n", + "ax2.set_title('Skykomish River, Annual Peak Streamflow\\nHistogram After 1975');\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "Visually compare the distributions of the data, before and after 1975, with theoretical distributions, and random numbers generated from theoretical distributions." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "### Method 1\n", + "# This function requires that the input is a pandas dataframe, with column names, and an integer index\n", + "# It returns a copy of the dataframe with an extra column added that has the Cunnane plotting positions\n", + "def cunnane_quantile(df, column_name):\n", + " '''This function will compute the Cunnane plotting position for the values in a column of a dataframe.\n", + " It requres a pandas dataframe, and the column name of interest (a text string) as inputs.\n", + " The output is a new dataframe, ranked (sorted) with an extra column with the plotting position.\n", + " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", + " \n", + " # Rank all our values\n", + " ranked_df = df.sort_values(by=[column_name]).reset_index()\n", + " \n", + " # Calculate the Cunnane plotting position\n", + " ranked_df['cunnane_plotting_position'] = ((ranked_df.index + 1) - (2/5)) / (ranked_df[column_name].count() + (1/5))\n", + " \n", + " return ranked_df\n", + "\n", + "### Method 2\n", + "# This function should be able to accept any one-dimensional numpy array or list, of numbers\n", + "# It returns two numpy arrays, one of the sorted numbers, the other of the plotting position\n", + "def cunnane_quantile_array(numbers):\n", + " '''This function also computes the Cunnane plotting position given an array or list of numbers (rather than a pandas dataframe).\n", + " It has two outputs, first the sorted numbers, second the Cunnane plotting position for each of those numbers.\n", + " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", + " \n", + " # 1) sort the data, using the numpy sort function (np.sort())\n", + " sorted_numbers = np.sort(numbers)\n", + " \n", + " # length of the list of numbers\n", + " n = len(sorted_numbers) \n", + " \n", + " # make an empty array, of the same length. below we will add the plotting position values to this array\n", + " cunnane_plotting_position = np.empty(n)\n", + " \n", + " # 2) compute the Cunnane plotting position for each number, using a for loop and the enumerate function\n", + " for rank, number in enumerate(sorted_numbers):\n", + " cunnane_plotting_position[rank] = ( (rank+1) - (2/5) ) / ( n + (1/5) )\n", + " \n", + " return sorted_numbers, cunnane_plotting_position" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Use the cunnane quantile function for before 1975\n", + "skykomish_before_b = cunnane_quantile(skykomish_before, 'peak value (cfs)')\n", + "\n", + "# Create theoretical normal CDF based on our sample values before 1975\n", + "theoretical_cdf_b = stats.norm.cdf(skykomish_before_b['peak value (cfs)'].values,\n", + " skykomish_before_b['peak value (cfs)'].mean(),\n", + " skykomish_before_b['peak value (cfs)'].std(ddof=1))\n", + "\n", + "# Generate random numbers from a theoretical normal CDF based on our samples before 1975\n", + "random_normal_b = np.random.normal(skykomish_before_b['peak value (cfs)'].mean(),\n", + " skykomish_before_b['peak value (cfs)'].std(ddof=1),\n", + " size=skykomish_before_b['peak value (cfs)'].count())\n", + "\n", + "# Compute the Cunnane plotting position for the random numbers\n", + "random_sorted_b, random_quantiles_b = cunnane_quantile_array(random_normal_b)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# Use the cunnane quantile function for after 1975\n", + "skykomish_after_a = cunnane_quantile(skykomish_after, 'peak value (cfs)')\n", + "\n", + "# Create theoretical normal CDF based on our sample values before 1975\n", + "theoretical_cdf_a = stats.norm.cdf(skykomish_after_a['peak value (cfs)'].values,\n", + " skykomish_after_a['peak value (cfs)'].mean(),\n", + " skykomish_after_a['peak value (cfs)'].std(ddof=1))\n", + "\n", + "# Generate random numbers from a theoretical normal CDF based on our samples before 1975\n", + "random_normal_a = np.random.normal(skykomish_after_a['peak value (cfs)'].mean(),\n", + " skykomish_after_a['peak value (cfs)'].std(ddof=1),\n", + " size=skykomish_after_a['peak value (cfs)'].count())\n", + "\n", + "# Compute the Cunnane plotting position for the random numbers\n", + "random_sorted_a, random_quantiles_a = cunnane_quantile_array(random_normal_a)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Skykomish River, Annual Peak Streamflow CDF\\nAfter 1975')" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, [ax1, ax2] = plt.subplots(nrows=1, ncols=2, figsize=(12,4))\n", + "\n", + "# Before 1975\n", + "# Empirical CDF\n", + "ax1.plot(skykomish_before_b['peak value (cfs)'], skykomish_before_b['cunnane_plotting_position'], color='k', label='Empirical CDF')\n", + "# Theorectical Normal CDF\n", + "ax1.plot(skykomish_before_b['peak value (cfs)'], theoretical_cdf_b, label='Theoretical Normal CDF')\n", + "# Random numbers CDF from a theoretical normal distribution\n", + "ax1.plot(random_sorted_b,random_quantiles_b,'-', label='Random Numbers CDF')\n", + "# Add legend and labels\n", + "ax1.legend()\n", + "ax1.set_ylabel('Cumulative Frequency')\n", + "ax1.set_xlabel('Peak Flow (cfs)')\n", + "ax1.set_title('Skykomish River, Annual Peak Streamflow CDF\\nBefore 1975')\n", + "\n", + "# After 1975\n", + "# Empirical CDF\n", + "ax2.plot(skykomish_after_a['peak value (cfs)'], skykomish_after_a['cunnane_plotting_position'], color='k', label='Empirical CDF')\n", + "# Theorectical Normal CDF\n", + "ax2.plot(skykomish_after_a['peak value (cfs)'], theoretical_cdf_a, label='Theoretical Normal CDF')\n", + "# Random numbers CDF from a theoretical normal distribution\n", + "ax2.plot(random_sorted_a, random_quantiles_a,'-', label='Random Numbers CDF')\n", + "# Add legend and labels\n", + "ax2.legend()\n", + "ax2.set_ylabel('Cumulative Frequency')\n", + "ax2.set_xlabel('Peak Flow (cfs)')\n", + "ax2.set_title('Skykomish River, Annual Peak Streamflow CDF\\nAfter 1975')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Does the streamflow data look normally distributed? Maybe try changing the above code to compare the empirical CDFs against theoretical lognormal distributions. (Remember to transform the mean and standard deviations into \"log space\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "## Two-Sample Z-Test\n", + "\n", + "#### Returning to our question: We are postulating (making a hypothesis) that there was a change in the mean flood statistics after 1975, and we want to test whether this is true. Where do we start?\n", + "\n", + "First we can formally state our null hypothesis, and our alternative hypothesis. We are also told to use a two sample test, and to set $\\alpha$ at 5%.\n", + "\n", + "Our **null hypothesis** is that the peak flows of the early period ($\\bar{X}_1$) are drawn from the same distribution as the peak flows of the later period ($\\bar{X}_2$) (therefore the distributions means of the two time periods are equal):\n", + "\n", + "$H_0: \\bar{X}_1 = \\bar{X}_2$\n", + "\n", + "Our **alternative hypothesis** is that the mean of the distribution for the later period is greater than that of the early period:\n", + "\n", + "$H_1: \\bar{X}_2 > \\bar{X}_1$\n", + "\n", + "We can also state these as:\n", + "\n", + "$H_0: \\bar{X}_1 - \\bar{X}_2 = \\mu_0$\n", + "\n", + "$H_1: \\bar{X}_1 - \\bar{X}_2 < \\mu_0$\n", + "\n", + "Where $\\mu_0$ is the hypothesized difference between the population means, and in this case $\\mu_0 = \\mu_1 - \\mu_2 = 0$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that I have written a \"[one-sided](https://en.wikipedia.org/wiki/One-_and_two-tailed_tests)\" test here because we are testing only for a change in one direction (an increase). We think that either the mean flood increased or it didn't change; we do not think the mean flood decreased:\n", + "* This might be chosen because we have some physical reason to think it increased (e.g. higher elevations in the watershed now get rainfall where it used to mostly get snow because of our warming climate).\n", + "* Or this might be chosen because we have some practical reason for the test to matter in this particular direction (e.g. we will change flood zoning downstream and/or how we operate a reservoir if the mean flood has increased, but won't make a change if it decreased)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### But which test should we use? Is the z-distribution valid?\n", + "\n", + "We are using the [z-test](https://en.wikipedia.org/wiki/Z-test), which uses the standard normal distribution. From our work above, we know that our data are likely not neccesarily normally distributed. However, the [central limit theorem](https://en.wikipedia.org/wiki/Central_limit_theorem) tells us that, \"*If a sample of n values is extracted at random from a population with mean μ and standard deviation σ, and n > 30, then the means of these samples are approximately normally distributed*\"\n", + "\n", + "We calculate our z-score as: $\\displaystyle Z = \\frac{ (\\bar{X}_2 - \\bar{X}_1) - \\mu _{0} } { s_{1,2} }$\n", + "\n", + "Where $s_{1,2}$ is the \"pooled standard deviation\", $s_1$, $s_2$ and $n_1$, $n_2$ are the two standard deviations and sample sizes respectively.\n", + "\n", + "$s_{1,2} = \\displaystyle\\sqrt{ \\displaystyle\\frac{s^2_1}{n_1} + \\displaystyle\\frac{s^2_2}{n_2} }$\n", + "\n", + "#### Remember, the means are normally distributed even if the data themselves are not normally distributed." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So what does the \"**Null Distribution** look like?\n", + "\n", + "And what do the \"rejection regions\" look like?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,7))\n", + "\n", + "# Create a null pdf\n", + "x = np.linspace(-4, 4, num=160)\n", + "ax.plot(x, stats.norm.pdf(x, 0, 1), label='Normal Distribution PDF')\n", + "\n", + "# Plot the null cdf\n", + "ax.plot(x, stats.norm.cdf(x, 0, 1), linestyle='--', label='Normal Distribution CDF')\n", + "\n", + "# Plot the region that z_test would have to fall in in order for us to reject the null hypothesis\n", + "conf = 0.95\n", + "z_alpha = stats.norm.ppf(conf)\n", + "shade = np.linspace(z_alpha, 4, 10)\n", + "ax.fill_between(shade, stats.norm.pdf(shade, 0, 1) , color='k', alpha=0.5, label='reject region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", + "# Plot a line at z_alpha\n", + "plt.axvline(z_alpha, color='black', label='$z_{a}$')\n", + "# Plot a line at our 95% confidence\n", + "plt.axhline(conf, color='black', linestyle='--', label='Confidence = {}%'.format(conf*100))\n", + "\n", + "\n", + "# Add labels\n", + "ax.set_ylim((0,1))\n", + "plt.xlabel('Z', fontsize=15)\n", + "plt.ylabel('PDF', fontsize=15)\n", + "ax.legend(loc='center left', fontsize=14);" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "46\n", + "45\n" + ] + } + ], + "source": [ + "# Check that we have a large enough sample size (n>30)\n", + "\n", + "n = len(skykomish_before['peak value (cfs)'])\n", + "print(n)\n", + "\n", + "m = len(skykomish_after['peak value (cfs)'])\n", + "print(m)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both are larger than 30, so we can go ahead and calculate the z-score for our test:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# We want our alpha to be 0.05\n", + "alpha = 0.05\n", + "# This gives us a confidence of 0.95\n", + "conf = 1 - alpha" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, determine which value in the z-distribution corresponds to our 0.95 confidence in the CDF" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "z_alpha = 1.6448536269514722\n" + ] + } + ], + "source": [ + "z_alpha = stats.norm.ppf(conf)\n", + "print(\"z_alpha = {}\".format(z_alpha)) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute the pooled standard deviation, $s_{1,2} = \\displaystyle\\sqrt{ \\displaystyle\\frac{s^2_1}{n_1} + \\displaystyle\\frac{s^2_2}{n_2} }$" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# Compute the pooled standard deviaiton\n", + "pooled_sd = np.sqrt( skykomish_before['peak value (cfs)'].std(ddof=1)**2 / n + skykomish_after['peak value (cfs)'].std(ddof=1)**2 / m )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, compute our z-score as $\\displaystyle Z = \\frac{ (\\bar{X}_2 - \\bar{X}_1) - \\mu _{0} } { s_{1,2} }$" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "z-score = 2.87\n" + ] + } + ], + "source": [ + "# hypothesizing no change\n", + "mu_0 = 0\n", + "\n", + "# compute z-score\n", + "zscore = (skykomish_after['peak value (cfs)'].mean() - skykomish_before['peak value (cfs)'].mean() - mu_0)/pooled_sd\n", + "\n", + "print(\"z-score = {}\".format( np.round(zscore,2) )) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also compute a p-value from this z-score by looking it up on the standard normal distribution CDF" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p = 0.002\n" + ] + } + ], + "source": [ + "pvalue = 1 - stats.norm.cdf(zscore)\n", + "print(\"p = {}\".format( np.round(pvalue,3) ))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the z-distribution, our z-score test result, and the $z_\\alpha$ that corresponds with our 95% confidence interval." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create z values between -4 and 4 to look at the middle portion of the z-distribution around 0\n", + "# Scale our values by the pooled standard deviation (otherwise we'd be in generic z-distribution space)\n", + "z = np.linspace(-4, 4, num=160) * pooled_sd\n", + "\n", + "# Create the plot\n", + "plt.figure(figsize=(10,7))\n", + "# Plot the z-distribution here\n", + "plt.plot(z, stats.norm.pdf(z, 0, pooled_sd), label='Null PDF: ($\\overline{X}_2 - \\overline{X}_1$) = 0')\n", + "\n", + "# Plot a line at our z-alpha value and shade the rejection region\n", + "plt.axvline(z_alpha*pooled_sd, color='black', linestyle='-', label='$z_{a}$')\n", + "shade = np.linspace(z_alpha*pooled_sd, np.max(z), 10)\n", + "plt.fill_between(shade, stats.norm.pdf(shade, 0, pooled_sd) , color='k', alpha=0.5, label='rejection region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", + "\n", + "\n", + "plt.axvline(zscore*pooled_sd, color='red', linestyle='-', label='z-test')\n", + "plt.xlabel('($\\overline{X}_2 - \\overline{X}_1$) [cfs]', fontsize=15)\n", + "plt.ylabel('PDF', fontsize=15)\n", + "plt.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", + "plt.ticklabel_format(axis='y', style='sci', scilimits=(0,0))\n", + "plt.ylim(0, 9e-5)\n", + "plt.legend(loc='best', fontsize=15);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Questions:\n", + "\n", + "What do these test results mean? \n", + "\n", + "What does it mean that our z-test value (red line) fell within our \"rejection region\" of the null hypothesis PDF?\n", + "\n", + "What does our p-value tell us?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "How would the estimate of p change if our **null hypothesis** is now that the difference in the means is equal to 20% of the mean of the before-1975 period, and the alternative hypothesis is that a change more than 20% of the before-1975 period mean has occurred?\n", + "\n", + "Therefore\n", + "\n", + "$H_0: \\bar{X}_1 - \\bar{X}_2 = 0.2 \\cdot \\bar{X}_1$\n", + "\n", + "$H_1: \\bar{X}_1 - \\bar{X}_2 < 0.2 \\cdot \\bar{X}_1$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute our z-score and p-value:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "z-score = 1.12\n", + "p = 0.132\n" + ] + } + ], + "source": [ + "# hypothesizing a 20% change\n", + "mu_0 = 0.2 * skykomish_before['peak value (cfs)'].mean()\n", + "\n", + "# compute z-score\n", + "zscore = (skykomish_after['peak value (cfs)'].mean() - skykomish_before['peak value (cfs)'].mean() - mu_0)/pooled_sd\n", + "print(\"z-score = {}\".format( np.round(zscore,2) )) \n", + "\n", + "pvalue = 1 - stats.norm.cdf(zscore)\n", + "print(\"p = {}\".format( np.round(pvalue,3) ))" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create z values between -4 and 4 to look at the middle portion of the z-distribution around 0\n", + "z = np.linspace(-4, 4, num=160)\n", + "# Scale our values by the pooled standard deviation (otherwise we'd be in generic z-distribution space)\n", + "z = [i * pooled_sd for i in z]\n", + "\n", + "# Create the plot\n", + "plt.figure(figsize=(10,7))\n", + "# Plot the z-distribution here\n", + "plt.plot(z, stats.norm.pdf(z, 0, pooled_sd), label='Null PDF: ($\\overline{X}_2 - \\overline{X}_1$) = 0.2*$\\overline{X}_1$')\n", + "\n", + "# Plot a line at our z-alpha value and shade the rejection region\n", + "plt.axvline(z_alpha*pooled_sd, color='black', linestyle='-', label='$z_{a}$')\n", + "shade = np.linspace(z_alpha*pooled_sd, np.max(z), 10)\n", + "plt.fill_between(shade, stats.norm.pdf(shade, 0, pooled_sd) , color='k', alpha=0.5, label='rejection region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", + "\n", + "plt.axvline(zscore*pooled_sd, color='red', linestyle='-', label='z-test')\n", + "plt.xlabel('($\\overline{X}_2 - \\overline{X}_1$) = 0.2*$\\overline{X}_1$ [cfs]', fontsize=15)\n", + "plt.ylabel('PDF', fontsize=15)\n", + "plt.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", + "plt.ticklabel_format(axis='y', style='sci', scilimits=(0,0))\n", + "plt.ylim(0, 9e-5)\n", + "plt.legend(loc='upper left', fontsize=15);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### So what happened with this second test?\n", + "\n", + "We created a more stringent test.\n", + "\n", + "For example, say we will only recommend constructing taller levees along the river if the mean flood (defined by the annual peak flow) increased by more than 20%. While we can report that we are 95% sure that there is a change greater than 0 (our first test); we are **not** 95% sure that the change is greater than 20% of the early period mean." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/modules/lab2/lab2-1.ipynb b/modules/lab2/lab2-1.ipynb index 7753e079..76e91b6c 100644 --- a/modules/lab2/lab2-1.ipynb +++ b/modules/lab2/lab2-1.ipynb @@ -827,7 +827,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -841,7 +841,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/lab4/.ipynb_checkpoints/lab4-3-checkpoint.ipynb b/modules/lab4/.ipynb_checkpoints/lab4-3-checkpoint.ipynb new file mode 100644 index 00000000..8ef7b233 --- /dev/null +++ b/modules/lab4/.ipynb_checkpoints/lab4-3-checkpoint.ipynb @@ -0,0 +1,856 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Lab 4-3: Confidence Intervals\n", + "\n", + "Example of calculating confidence intervals for a least squares linear regression model.\n", + "\n", + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import scipy.stats as stats\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are working with the snow pillow data again, measurements of snow water equivelent at two different locations. Load the data file." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# snow pillow (snow water equivalent) example data\n", + "data = pd.read_csv('./data/pillows_example.csv')\n", + "\n", + "# Assigning my values to variables x and y for ease of use below\n", + "x = data['SLI_max'].values\n", + "y = data['BLC_max'].values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**First, plot the data to get an idea of what it looks like.**\n", + "\n", + "- Does it look like we should try and fit a linear model to this? \n", + "- Does the variance in y values change as we move along the x axis (heteroscedasticity)?" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7,7), tight_layout=True)\n", + "\n", + "# Scatterplot of original data\n", + "ax.scatter(x, y, c='k', label='Original Data')\n", + "\n", + "# Add legend\n", + "plt.legend(loc='lower right');\n", + "\n", + "# Add axes labels and title\n", + "ax.set_xlabel('Slide Canyon Maximum Annual SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon Maximum Annual SWE (mm)')\n", + "ax.set_title('SWE Scatterplot');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Honestly, not really. But lets go ahead for the sake of the example." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Least Squares Linear Regression\n", + "\n", + "**Compute our least squares linear regression parameters**: B1 (the slope), and B0 (the y intercept)\n", + "\n", + "$B_1 = \\displaystyle \\frac{n(\\sum_{i=1}^{n}x_iy_i)-(\\sum_{i=1}^{n}x_i)(\\sum_{i=1}^{n}y_i)}{n(\\sum_{i=1}^{n}x_i^2)-(\\sum_{i=1}^{n}x_i)^2}$\n", + "\n", + "$B_0 = \\displaystyle \\frac{(\\sum_{i=1}^{n}y_i)-B_1(\\sum_{i=1}^{n}x_i)}{n} = \\bar{y} - B_1\\bar{x}$" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "B0 : 127.9143\n", + "B1 : 0.1997\n" + ] + } + ], + "source": [ + "n = len(x)\n", + "\n", + "B1 = ( n*np.sum(x*y) - np.sum(x)*np.sum(y) ) / ( n*np.sum(x**2) - np.sum(x)**2 ) # B1 parameter, slope\n", + "B0 = np.mean(y) - B1*np.mean(x) # B0 parameter, y-intercept\n", + "\n", + "print('B0 : {}'.format(np.round(B0,4)))\n", + "print('B1 : {}'.format(np.round(B1,4)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now compute our predicted y values ($\\hat{y}$)\n", + "\n", + " $\\hat{y}_i = B_0 + B_1x_i$\n", + " \n", + "(here we'll use our original x values as the input)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "y_predicted = B0 + B1*x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute our residuals $(y_i - \\hat{y}_i)$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "residuals = (y - y_predicted)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And then go ahead and compute, the Sum of Square Errors ($SSE$), the Total Sum of Squares ($SST$), and we'll also need the $SST_x$ (total sum of squares in the x dimension).\n", + "\n", + "$SSE = \\displaystyle\\sum_{i=1}^{n} (y_i - \\hat{y}_i)^2$ \n", + "\n", + "$SST = \\displaystyle\\sum_{i=1}^{n} (y_i - \\bar{y}_i)^2$\n", + "\n", + "$SST_x = \\displaystyle\\sum_{i=1}^{n} (x_i - \\bar{x}_i)^2$\n", + "\n", + "Compute our coefficient of correlation, $r$\n", + "\n", + "$r^2 = 1 - \\displaystyle \\frac{SSE}{SST}$\n", + "\n", + "and finally our standard error, $s$\n", + "\n", + "\n", + "$s = \\sqrt{\\displaystyle\\frac{SSE}{(n-2)}}$" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# sum of squared errors\n", + "sse = np.sum(residuals**2)\n", + "\n", + "# total sum of squares (y)\n", + "sst = np.sum( (y - np.mean(y))**2 )\n", + "\n", + "# total sum of squares (x)\n", + "sst_x = np.sum( (x - np.mean(x))**2 )\n", + "\n", + "# correlation coefficient\n", + "r_squared = 1 - sse/sst\n", + "r = np.sqrt( r_squared )\n", + "\n", + "# standard error of regression\n", + "s = np.sqrt(sse/(n-2))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SSE : 999651.24\n", + "SST : 1219919.85\n", + "SSTx : 5524345.88\n", + "R^2 : 0.181\n", + "R : 0.425\n", + "s : 204.089\n" + ] + } + ], + "source": [ + "# Printing these out so we can see them\n", + "print('SSE : {}'.format(np.round(sse,2)))\n", + "print('SST : {}'.format(np.round(sst,2)))\n", + "print('SSTx : {}'.format(np.round(sst_x,2)))\n", + "print('R^2 : {}'.format(np.round(r_squared,3)))\n", + "print('R : {}'.format(np.round(r,3)))\n", + "print('s : {}'.format(np.round(s,3)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot the data with our linear regression model**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7,7), tight_layout=True)\n", + "\n", + "# Scatterplot of original data\n", + "ax.scatter(x, y, c='k', label='Original Data')\n", + "\n", + "# Plot the regression line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [B0 + B1*x.min(), B0 + B1*x.max()] , '-r', label='Least Squares Linear Regression Model')\n", + "\n", + "# Plot the mean line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [y.mean(), y.mean()] , '--m', label='Mean Y')\n", + "\n", + "# Add legend\n", + "plt.legend(loc='lower right');\n", + "\n", + "# Add axes labels and title\n", + "ax.set_xlabel('Slide Canyon Maximum Annual SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon Maximum Annual SWE (mm)')\n", + "ax.set_title('Linear Regression Model');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot the residuals** to make sure they don't have any sort of trend or pattern and are roughly normally distributed" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, [ax2, ax3] = plt.subplots(nrows=1, ncols=2, figsize=(8,4), tight_layout=True)\n", + "\n", + "# Plot the residuals\n", + "ax2.plot(x,residuals,'.')\n", + "ax2.set_title('Residuals versus X');\n", + "\n", + "# Plot a histogram of the residuals\n", + "ax3.hist(residuals, bins=10)\n", + "ax3.set_title('Residuals Histogram');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Confidence Interval for the Slope (B1)\n", + "\n", + "**Compute the confidence intervals around our B1 parameter, the slope**\n", + "\n", + "We first specify our $\\alpha$ for our chosen level of confidence (95%), and our degrees of freedom $dof = n - 2$" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "26\n" + ] + } + ], + "source": [ + "# our alpha for 95% confidence\n", + "alpha = 0.05\n", + "\n", + "# length of the dataset\n", + "n = len(x)\n", + "print(n)\n", + "# degrees of freedom\n", + "dof = n - 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, compute the Standard Error of the Gradient (Slope):\n", + "\n", + "$s_{B_1} = \\displaystyle \\frac{s}{\\sqrt{SST_x}} $" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# standard error of the gradient (slope)\n", + "sB1 = s/np.sqrt(sst_x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This follows a t-distribution, find the t-value that corresponds with our $\\alpha$ and $dof$" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# t-value for alpha/2 with n-2 degrees of freedom\n", + "t = stats.t.ppf(1-alpha/2, dof)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute the upper and lower limits for the B1 parameter" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# compute the upper and lower limits on our B1 (slope) parameter\n", + "B1_upper = B1 + t * sB1\n", + "B1_lower = B1 - t * sB1\n", + "\n", + "# compute the corresponding upper and lower B0 values (y intercepts)\n", + "B0_upper = y.mean() - B1_upper*x.mean()\n", + "B0_lower = y.mean() - B1_lower*x.mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot the data, linear regression model, and confidence intervals for B1**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7,7), tight_layout=True)\n", + "\n", + "# Scatterplot of original data\n", + "ax.scatter(x, y, c='k', label='Original Data')\n", + "\n", + "# Plot the regression line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [B0 + B1*x.min(), B0 + B1*x.max()] , '-r', label='Least Squares Linear Regression Model')\n", + "\n", + "# Plot the mean line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [y.mean(), y.mean()] , '--m', label='Mean Y')\n", + "\n", + "# Plot the upper and lower confidence limits for the standard error of the gradient (slope)\n", + "ax.plot([x.min(), x.max()], [B0_upper + B1_upper*x.min(), B0_upper + B1_upper*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "ax.plot([x.min(), x.max()], [B0_lower + B1_lower*x.min(), B0_lower + B1_lower*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "\n", + "\n", + "# Add legend\n", + "plt.legend(loc='lower right');\n", + "\n", + "# Add axes labels and title\n", + "ax.set_xlabel('Slide Canyon Maximum Annual SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon Maximum Annual SWE (mm)')\n", + "ax.set_title('Linear Regression Model with Confidence Intervals');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Confidence Interval for Predicted Values of y\n", + "\n", + "**Compute confidence limits for the predicted values of y**\n", + "\n", + "To compute confidence limits on our predicted values of y, we need to predict some values of y first!\n", + "\n", + "For the prediction intervals, I'm naming the variables `p_x` and `p_y`, in the equations below these correspond to $x^*$ and $\\hat{y}^*$." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# an array of x values\n", + "p_x = np.linspace(x.min(),x.max(),100)\n", + "\n", + "# using our model parameters to predict y values\n", + "p_y = B0 + B1*p_x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For some value $x^*$ we want to predict a corresponding $y^*$ using our model.\n", + "\n", + "$\\hat{y}^* = \\hat{B}_0 + \\hat{B}_1x^*$\n", + "\n", + "But what is the undercertainty of the $\\hat{y}^*$ we'll calculate? We can compute a prediction interval for a given confidence (such a 95%).\n", + "\n", + "The error of our prediction is the difference between the \"true\" value of $y^*$ for $x^*$, and our predicted $\\hat{y}^*$:\n", + "\n", + "$B_0 + B_1x^* - \\hat{B}_0 + \\hat{B}_1x^*$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The variance of this prediction error ($\\sigma_{E_P}^2$) will help define our prediction intervals, and can be computed as follows:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$\\sigma_{E_p}^2(x^*) = s^2 \\Bigg[ 1 + \\displaystyle\\frac{1}{n} + \\displaystyle\\frac{n(x^*-\\bar{x})^2}{n \\sum{x_i^2} + (\\sum{x_i})^2} \\Bigg]$\n", + "\n", + "or\n", + "\n", + "$\\sigma_{E_p}^2(x^*) = s^2 \\Bigg[ 1 + \\displaystyle\\frac{1}{n} + \\displaystyle\\frac{(x^*-\\bar{x})^2}{SST_x} \\Bigg]$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now compute our error of prediction ($\\sigma_{E_p}$) for each p_x:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "sigma_ep = np.sqrt( s**2 * (1+ 1/n + ( ( n*(p_x-x.mean())**2 ) / ( n*np.sum(x**2) - np.sum(x)**2 ) ) ) )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The lower and upper confidence limits based on predicted y and confidence intervals (which follow a t-distribution) can be computed as:\n", + "\n", + "$y^* \\pm t_{\\frac{\\alpha}{2},n-2} \\cdot \\sigma_{E_p}(x^*)$" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = 0.05\n", + "\n", + "n = len(p_x)\n", + "dof = n - 2\n", + "\n", + "t = stats.t.ppf(1-alpha/2, dof)\n", + "\n", + "p_y_lower = p_y - t * sigma_ep\n", + "p_y_upper = p_y + t * sigma_ep" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Finally, plot the upper and lower confidence limits for the predicted y values**" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7,7), tight_layout=True)\n", + "\n", + "# Scatterplot of original data\n", + "ax.scatter(x, y, c='k', label='Original Data')\n", + "\n", + "# Plot the regression line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [B0 + B1*x.min(), B0 + B1*x.max()] , '-r', label='Least Squares Linear Regression Model')\n", + "\n", + "# Plot the mean line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [y.mean(), y.mean()] , '--m', label='Mean Y')\n", + "\n", + "# Plot the mean x line\n", + "plt.axvline(x.mean(),c='k', linestyle='--', label='Mean X Value')\n", + "\n", + "# Plot the upper and lower confidence limits for the standard error of the gradient (slope)\n", + "ax.plot([x.min(), x.max()], [B0_upper + B1_upper*x.min(), B0_upper + B1_upper*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "ax.plot([x.min(), x.max()], [B0_lower + B1_lower*x.min(), B0_lower + B1_lower*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "\n", + "# Plot confidence limits on our predicted Y values\n", + "ax.plot(p_x, p_y_upper, ':b', label='Upper Y prediction interval (95%)')\n", + "ax.plot(p_x, p_y_lower, ':b', label='Lower Y prediction interval (95%)')\n", + "\n", + "# Add legend\n", + "plt.legend(loc='lower right');\n", + "\n", + "# Add axes labels and title\n", + "ax.set_xlabel('Slide Canyon Maximum Annual SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon Maximum Annual SWE (mm)')\n", + "ax.set_title('Linear Regression Model with Confidence Intervals');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our upper and lower predicted y confidence limits look almost parallel, but are they? \n", + "\n", + "To inspect this, we can plot the difference between the two versus x to see how our 95% interval changes shape as we move along the x axis, and see that they \"pivot\" around the mean x value of the original dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "p_y_difference = p_y_upper - p_y_lower\n", + "plt.plot(p_x, p_y_difference, label='p_y_difference')\n", + "plt.axvline(x.mean(),c='k', linestyle='--', label='Mean X Value')\n", + "\n", + "plt.legend()\n", + "plt.xlabel('Prediction Input (Blue Canyon SWE, mm)')\n", + "plt.ylabel('Difference Between Upper and Lower\\nY Prediction Confidence Bounds ($\\Delta$mm)')\n", + "plt.title('Difference Between Upper and Lower\\nY Prediction 95% Confidence Bounds');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we'd expect, they're not quite parallel (they vary along the x-axis) and are narrowest at $\\bar{x}$ where we have higher confidence in our ability to make predictions with the model." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## With scipy\n", + "\n", + "**How do we do this quickly in python?**\n", + "\n", + "As always, there are a few options, two of the easier ones that are in packages we already have here are:\n", + "- `scipy.stats.linregress()` we've used this previously\n", + "- `numpy.polyfit()` we can fit a 1st order polynomial (linear function)\n", + "\n", + "I'm going to use the scipy function below (remember, this outputs our standard error of the gradient for us already):" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "B1, B0, r, p, sB1 = stats.linregress(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute the upper and lower limits for the B1 parameter" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "# our alpha for 95% confidence\n", + "alpha = 0.05\n", + "\n", + "# length of the original dataset\n", + "n = len(x)\n", + "# degrees of freedom\n", + "dof = n - 2\n", + "\n", + "# t-value for alpha/2 with n-2 degrees of freedom\n", + "t = stats.t.ppf(1-alpha/2, dof)\n", + "\n", + "# compute the upper and lower limits on our B1 (slope) parameter\n", + "B1_upper = B1 + t * sB1\n", + "B1_lower = B1 - t * sB1\n", + "\n", + "# compute the corresponding upper and lower B0 values (y intercepts)\n", + "B0_upper = y.mean() - B1_upper*x.mean()\n", + "B0_lower = y.mean() - B1_lower*x.mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create some predictions values, compute our error of prediction (sigma_ep) for each p_x, then the lower and upper confidence limits (for 95%) can be computed as:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# an array of x values\n", + "p_x = np.linspace(x.min(),x.max(),100)\n", + "\n", + "# using our model parameters to predict y values\n", + "p_y = B0 + B1*p_x\n", + "\n", + "# calculate the standard error of the predictions\n", + "sigma_ep = np.sqrt( s**2 * (1 + 1/n + ( ( n*(p_x-x.mean())**2 ) / ( n*np.sum(x**2) - np.sum(x)**2 ) ) ) )\n", + "\n", + "# our chosen alpha\n", + "alpha = 0.05\n", + "\n", + "# compute our degrees of freedom with the length of the predicted dataset\n", + "n_p = len(p_x)\n", + "dof = n_p - 2\n", + "\n", + "# get the t-value for our alpha and degrees of freedom\n", + "t = stats.t.ppf(1-alpha/2, dof)\n", + "\n", + "# compute the upper and lower limits at each of the p_x values\n", + "p_y_lower = p_y - t * sigma_ep\n", + "p_y_upper = p_y + t * sigma_ep" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot it all again**" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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03Bljfjd3Lhx8sO4ABnDNNfDBB9CggR5b8jb7w358TKXl5OSQmZlJfn4+ALm5uWR6Q2QHDx7sZ2jG+GrXLh2Edthh2pd98MHQsaMuvALQvr3ejIkEa4GbSsvKyvo9eQfk5+eTlZXlU0TG+KewMLiEqQjccgu8+KIeN28Ob70V3BXMmEiyFriptLy8vEqdjxejRo3yOwQTh/r1g/Xr4YsvdA73l1/q0qbGRJslcFNpaWlp5Obmlnk+nvXs2dPvEEwcePtteOwxeP11qFlTd/7auTM4WC3Ofw1MHLESuqm07OxsUlNTi51LTU0lOzvbp4giY86cOcyZM8fvMEyM2b0bXnsNNm7U4507dYGVVav0uF8/GDgwONLcmKpiCdxU2uDBgxk7dixt27ZFRGjbti1jx46N+wFsI0aMYMSIEX6HYWKAc8GBZz/8AOedB5Mm6XG/fvD117rwijF+shK62SeDBw+O+4RtTFkKC+HYY3WxlX/+Ew4/XKd+BbbqtJa2iRXWAjfGVHuvvAJ33qn3k5N1HfIePYLXe/e2Odsm9lgCN8ZUO3v2wKxZWioH+OwzePVVPQ+6jeegQb6FZ0xYLIEbY6oF56CoSO+PGwd9+kBg75r77oOFC3VUuTHxwopCxnjGjBnjdwgmSlasgDPOgFGj4Pzz9da8OXTpotdr1/Y1PGP2iSVwYzxdbePlhOEcPPOMbhhy4YW6sMrhhwfXIG/USEeTGxPPrIRujOe9997jvffe8zsMs4927NCtOkFHij//vO72BTowbcoULZsbkyisBW6M5/777wegj/2VjxtFRZDkNUP+9jeYOlW36qxVC2bMCLa4jUlE1gI3xsSlt97SZUtXr9bj667TVnZgIFrDhjZn2yQ2a4EbY+LC1q26BnlGhi60cvDB0L07bN+u1486yt/4jKlqlsCNMTFrzRrYsgU6d9Z+7H/8A+rX1wR+6KE6d9uY6soSuDEmphQU6KpnzsFJJ8Ehh2i5vF49LZdbv7YxyhK4MZ5nnnnG7xCqvXvv1U1DFi7U/uunn4bWrYPXLXkbE2SD2IzxdOzYkY4dO/odRrXyzTdwySXw22963LkznH56cCewPn2gUyffwjMmplkCN8Yzbdo0pk2b5ncYCa2wEGbPDo4c37IF3ngDFi3S4wED4NFHoU4d30I0Jm5YAjfGM3r0aEaPHu13GAnHOdi2Te+vWaPbdI4bp8cnnaTztrt39y08Y+KW9YEbY6LGOTjmGOjaFf73P+3PfvddOP54vZ6UBCkp/sZoTLyyFrgxJqL+8x8YOlTvi+j9s84KXu/TBw44wJ/YjEkklsCNMfslLw8eeUT7twE2bYJVq2DXLj2+/noYONC/+IxJVJbAjTGVtmIF/Pqr3p87F26+Obi39q23wqxZuh65MQmroAC++MLXECyBG+OZMGECEyZM8DuMmFVUpF+/+w7atYPJk/W4Xz9thR97rB7b+uMm4b31Fhx5JPTuDevW+RaGJXBjPG3atKFNmzZ+hxFzCguhVy/IytLjTp3giSfgtNP0uE4d3W/bmGph9Wr91Lp7N0ycCM2a+RaKJXBjPC+//DIvv/yy32HEhPHj4c479X5ysm4UcvDBeiwCf/+77gRmTLWwaRMEVmps1UqnUixaBP37+1pysgRujOepp57iqaee8jsMX6xZA88/HzyeNw/eeSdYNn/8cbjySn9iM8Y3u3fDmDG6IP/VV8OSJXq+V6+YGORhCdyYamrVKv37BLr++NChsGyZHo8eDZ9+qvO0jal2nIPp0+GII+CGG+APf4Cvv4YYW2rZfj2NqUac06//93/ab/3OO3o8ZIgOTguUyW1xFVOtbd+ui/SDJvK334bDD/c1pLJYAjemGti+HXr00FI4aIPigQd0IC1A48a2aYip5jZsgPvu01Gb9erpXMhvv4VzzonZqRWWwI1JUI89pgusANStq914TZvqcUoK3HabDUQzht27tc+oQwe45x747DM9f9RRULOmv7Htha2FboznlVde8TuE/bJkif7t+ctf9PiTT/Rv00036fELL/gXmzExxzndCu+mm2DpUjj7bP3Ee9hhfkcWNkvgxniaNGnidwiV4pyufta1q1b4xo/XhsS550L9+jpFNcYbEMb4p7BQy1A1a8LMmXDmmX5HVGlWQjfGM27cOMYF9rmMUUVFsGeP3n/xRd3p68sv9fjaa3WJ0/r19diStzElrFsHN96o+9vWqKGJ++uv4zJ5gyVwY34X6wl8+XJdQyJQ6T/zTPjvf6F9ez1u0QJatvQvPmNi1s6d8NBD2s/9xBPw0Ud6Pj09rj/p+prAReQGEVkkIt+KyIsiUltEGonIuyLyo/f1wJDH3y4iS0VkiYic4WfsxkRbURFcein885963LatdtMFli1t1AguuwwaNvQvRmNimnMwZQp07qzl8t69dQW1c87xO7KI8C2Bi0gr4Fqgm3PucCAZuBC4DZjlnOsAzPKOEZHO3vUuwJnAkyKS7EfsxkTL1KnBqV5JSbqCY2DXr6QkbXGfeKJ/8RkTd555Rjegf+cdHbR26KF+RxQxfpfQawB1RKQGkAr8DPQHxnvXxwPnevf7Ay8553Y555YDS4HuVRyvMRG1Zg2ELr8+bZr+vQksuPLGG3DXXf7EZkxcWrMGMjN1izwRyMmBr74K7r6TQHxL4M651cAjQB6wBvjFOfcO0Nw5t8Z7zBogsNVLK2BlyEus8s6VIiKZIjJPROZt2LAhWv8EY/bJkiW6lTDAuHFw4YXw8896PGYMLFwYs+tGGBO7duyAUaO0n3vcOF1uEHTxgxqJOeHKzxL6gWiruh1wEHCAiAyp6CllnHNlPdA5N9Y51805161pYOUKY/ZixowZzJgxI+KvW1QUXHN85kxd8eyTT/T40ku1Sy4w+Kx+fVt/3JhKmzxZf7GysuD002HxYrjoIr+jijo//1T0AZY75zY45/YArwI9gXUi0hLA+7ree/wqIHTX4dZoyd2YiEhNTSU1NTWir7l2LbRurQ0CgJNP1kGwnTvrcYsWet9a3Mbsh3ffhQMPhPffh1df1WUHqwE/E3ge0ENEUkVEgFOB74A3gKHeY4YCr3v33wAuFJFaItIO6AB8XsUxmwT25JNP8uSTT+7XazgHF18c7Ldu3lwXVunQQY8POED30m7WrPzXMMbsxerVuuRgYNnTRx+F+fPhlFP8jauK+dYx4Jz7TEReAb4ECoCvgLFAXWCSiFyOJvkLvMcvEpFJwGLv8X9zzhX6ErxJSJMmTQLg6quvrtTzJkyAH3+Ee+/VlnRycrAMLgL7+ZnAGBOQn6/LnT70kA4kOekkOO44Xey/GvK1Z985dxdQcoztLrQ1Xtbjs4HsaMdlTEW++w7efDO4xvi8eTpe5u67NXHH8FowxsSvV17RvblXrYIBA+Dhh6FdO7+j8lVYJXQROVBEuojIwSJiQ2xMtbJjhybs/Hw9/uADuPVWnaUC2iCYN88GnxkTVUuXat/Thx/qoLVqnryhggQuIg1EZISILAQ+BZ4BJgG5IjJZRKpXZ4OpVtauhc2b9f4nn0BGhm4PDDBkCKxfH9yKM45XYjQmdq1cCYMHBxdKGD4cvvhCR4IaoOIW+CvovOuTnHMdnXMnelOz2gAPAv29fmpj4p5zUFhYG9B1IA46CP73P73Wqxe8/Tac4S3eW78+NG7sU6DGJLrt2+HOO6FjRx1Rvnatnq9Z08pcJZT73XDOneacm+Cc21rGtfnOueudc/+NbnjGRE9gtTPn4Mgj4bDD3mL27Nm0bAn//jf07avXU1J0amlKin+xmorl5OSQnp5OUlIS6enp5OTk+B2S2RdTp2rivu8+6N8fvv8errvO76hiVliD2ETkSCA99PHOuVejFJMxUTd8uP5tePNNHSk+dKhuTBQwbJhvoZlKysnJITMzk3xvkEJubi6ZmZkADB482M/QTLic01/E3bt14YTJk6FnT7+jinl7rUeIyHPAc8D5QF/vlhHluIyJqMmTtQReVKTHbdvq3OxAK/ymm2DFikd45JFH/AvS7JOsrKzfk3dAfn4+WVlZPkVkwrZiBQwapCPKAQYOhLlzLXmHKZwWeA/nXOeoR2JMBH37rY4Of/RR3XZz924dRb5pky6NfO21pZ8zffp0AG4KzA8zcSEvMB0gzPMmBmzbBg8+CKNHa792t256XsSWJayEcEYEzPW28jQmZm3eDP/4hy6BDDoOZto0LZODDmb9+GNN3iaxpAWmA4R53vjszTd1S89Ro+CCC+CHH+Dmm/2OKi6Fk8DHo0l8iYh8IyILReSbaAdmTEUKC2H69OBKikVFcNttuhQyQPfusG6dVeKqg+zs7FJr2KemppKdbWs+xZTAFnyNG8PBB8Onn+oyhq1b+xtXHAunhP4ccDGwECiKbjjGlG/pUti4EXr00Crb5Zdrv/Zxx0GTJjr9K7DGeFKSzTipLgID1bKyssjLyyMtLY3s7GwbwBYrli2DW27RxP3MM/oL/MknViqPgHASeJ5z7o2oR2JMCTt26N7ZXbvq8SWXwM6dwVXP3n+/+KZD+7tBSJ06dfbvBYxvBg8ebAk71vz6K2Rn6yb3NWroVp8BlrwjIpwE/r2ITASmoeuUAzaNzERHbq6OEAed/jl5MmzYoL//Y8bojoEBXbpE9r1nzpwZ2Rc0prp6/33dj3v9ep2jOWqUro5kIiqcImMdNHGfjk0jMxH222/BrrEnn9S52KtX6/GwYfDSS8HHdusG7dtXeYjGmHDt2KFf27fX1ZG++EJ397HkHRV7bYE75y6tikBM9eCcJuyaNXUHrz/+Ed56S7fxPeMM+Ne/IDAe6eijqza2++67D4CRI0dW7RsbE+9+/FFHkufn67rDbdvCu+/6HVXCC2chl3Yi8qiIvCoibwRuVRGcSQyBxVI2bIA2beC/3gK8Rx4J11wT/HDevj387W/Fy+RVadasWcwK7FhijNm7rVt1WcMuXXS3n1NOCa6WZKIunD7w14D/on3g9j9jwuYcnHoqHHOMLqrSpInu6hUYeFavnp43xsShTz/VDQM2bYLLLoP774cWLfyOqloJJ4HvdM49HvVITEIYPlync02cqANNu3YNJmwRePppf+MzxuynLVu0TNalC/TuDSNGVH1/lwHCS+CPichdwDsUH4X+ZdSiMnHjP//RkeLvvKPHBx4Ie/YErz/6qD9xGWMi7PvvddOAn36Cb77REtrkyX5HVa2Fk8CPQBdy+SPBErrzjk01M2uWVsqmTYO6dXU+ds2aOpr8gAPgjjv8jnDfNbZNvo0pbfNmuOcenSaSmqq/5IGBLcZX4STw84CDnXO7ox2MiT3ff6/rL9x/Pxx2mJ779Vf4+Wddzvjyy/WWCKZMmeJ3CMbElsWL4cQT4Zdf4Mor4d5793/FJBMx4cwD/xpoGO1ATGzYvBkyM4Ml8dRUncq5cqUen3oqzJ+vydsYk6ACizF07AgXXghffaUDWCx5x5RwWuDN0dXYvqB4H3i/qEVlqoxzOgalUyddMKlePZg5MzgmJS1NV0erDisf3n777QA88MADPkdijE8WL4Ybb9T1in/8UQe1PPmk31GZcoSTwO+KehSmSj35pG63ecstmpjff1/XGB86VPuz8/KKJ+zqkLwB5s6d63cIxvhj40a4+25tZdetC3fdpYNaTEwrN4GLiDj14d4eE53QTKS8+irMnav7ZQN89JF2ad1yix7PmQPJycHHV5eEbYxBB7R06QLbtsFVV+mAtSZN/I7KhKGiPvAPROQaEUkLPSkiKSLyRxEZDwyNbnhmX3zyCVxxhe6ZDfD11zB1Kuz2hiG+8IKWyQNCk7cxphpwDr77Tu8fdJCWzb/+Gv79b0vecaSiBH4mUAi8KCI/i8hiEVkG/AhcBPzTOTeuCmI0e/HddzrwbO1aPc7N1WleeXl6fMcdupd2Sooe1win48QYk5gWLoTTToOjjtI53QAjR0Z+ez8TdeUmcOfcTufck865E4C2wKnAMc65ts65K51zC6osSlPM2rW6hvgXX+hxfj5MmqR7ZwMMGqSPaddOj2vW9CfOeNO6dWtat27tdxjGRMf69fDXv+ryiF9+CaNH6yhVs09ycnJIT08nKSmJ9PR0cnJyqjwGSfQu7G7dulm/ZvwAACAASURBVLl58+b5HcZ+2blTR4qfdBKcd57uH5CWBk88oQPPioq0ImalcGNMmbZt00/0v/wCV1+tg9QaNfI7qriVk5NDZmYm+fn5v59LTU1l7NixDB48eJ9fV0TmO+e6hf14S+Cx6c47tSvq2ms1OXfooMk6sNNlQYGVwo0xFXAOPvsMevTQ42ef1UVZOnXyN64EkJ6eTm5ubqnzbdu2ZcWKFfv8upVN4JYCYsSYMbpYyujRevzFF7r1Juio8B9+0GVLAyx5R971118PwJgxY3yOxJj9tGAB3HADzJ4N//d/0LOnjmw1EZEXGGAU5vloKbcPXEQ6hdyvVeJaj2gGVR08/zz86U/B4+XLg33YADNmwNixweOkcNbMM/tlwYIFLFhgQztMHFu7VhP1McfoYLUnn4Tu3f2OKuGklTN2oLzz0VJRWpgYcr/kChe2NE8lvfkmHHecDjgD3fxj48bg8WOPwfTpwcfbXGxjTKUUFOgfmfHjtfW9dCkMG2bluijIzs4mNTW12LnU1FSys7OrNI6KEriUc7+sY+MJDCn47DOdpbFokR7XqgV16uhAUNDfq48+0rXGjTFmnzinizoUFWmi/ve/9Y/O6NHQ0LawiJbBgwczduxY2rZti4jQtm3b/R7Ati8qSuCunPtlHVdbBQX6dfly3a3rtdf0uFkzve3cqcd9+mh3VHq6H1EaYxLO/PnQqxecfbYutwiQkWE7DVWRwYMHs2LFCoqKilixYkWVJ2+oeBBbaxF5HG1tB+7jHbeKemQxyDktfdetCzt2QOfOuoDK7bdDq1a6cU/9+vrYdu3g3Xf9jddUzqH2h8/Eg59/1j1+x4/XqSrPPKPzS021U1ECvznkfsl5WPE3LysCjjgCunWDceO0HN6vX3DxopSUYOvbxKexoaMGjYlFzsE55+iuYTffrAtENGjgd1TGJxUl8K+Br22zkqDMTF02OOCxx/yLxRhTTTgHr7yipfIDDoCnnoKmTaF9e78jMz6rqA/8WWCjiLwrIneLyOkiUr+qAotF114LAwb4HYWJlszMTDIzM/0Ow5igzz+HE06AgQPhf//Tcz16WPI2QMVroXcD2gDZwG7gWuBHEflaRGwamUk4P/zwAz/88IPfYRgDq1bBxRfrtLBly+C//9WpK8aEqHCCoHMuH5gtIl8AnwEnAH9BdyozxhgTDZmZ8P77OkL29tuhXj2/IzIxqNwELiJ/BnoCXYFdQCCJn+icW1s14RljTDVQVAQTJ0Lv3tC6ta6tXLNmcEtBY8pQUR/4WKAHMA4Y5py7zTk31ZK3McZE0Ny5cPzxWjIPzIQ49FBL3mavKiqhNwCOQlvhd4tIR2ANuqzqXOfc+1UQnzFVpmvXrn6HYKqT3Fy47TZ46SVo2VLnp158sd9RmTgS9naiItIcGADcALRzzsXF7tPxup2oMSbBZWbChAk6n/uWW3SFKFOtRWw/cBE5Em19B24paOt7DvB/zrm4yIqWwI0xMaGoSLchPOooOPpoWLcOdu2CKt7BysSuyibwivrAxwFdgJnAqc65NOfcIOfcY/GSvI2pjCFDhjBkyBC/wzCJ6OOPdVvPSy/VKWEAzZtb8jb7pdw+cOfcMaHHIlITOBxY7ZxbH+3AjKlqq1at8jsEk2iWL4dbb4XJk3V0+QsvwEUX+R2VSRDltsBF5GkR6eLdb4Aurfo88JWI2E+gMdVcTk4O6enpJCUlkZ6eTk5Ojt8hxZ4XXoA334R77oElS2DwYEiqqPBpTPgqGoV+knPur979S4EfnHPnikgLtKz+YtSjM8bEpJycHDIzM8nPzwcgNzf392Vo/dhWMWYUFuqSpwcdpGuXDx+uZfPWrf2OzCSgij4K7g65fxrwGoDNAzfGZGVl/Z68A/Lz88nKyvIpohgwezYceyxceaUuygKQmmrJ20RNRS3wrSKSAaxGl1C9HEBEagB1qiA2Y6rU8ccf73cIcSMvL69S5xPaTz/pVLCpU3VQ2ksv6eYjJvEtXw47dkDnzr68fUUJ/CrgcaAFcH1Iy/tU4M1oB2ZMVXvggQf8DiFupKWlkZubW+b5amfuXHjnHbj/frjxRqhj7ZuEVVgIn34K06bpbfFi+NOfYMoUX8KpaBT6D5SxaYlz7m3g7WgGZYyJbdnZ2cX6wAFSU1PJzs72MaoqUlCgU8FEdDGWP/8Z+vSBFi38jsxEw6+/wttvw/TpMGMGbNwINWpAr176/5+R4VtoFe5GFm0i0hDdd/xwwAGXAUuAl4F0YAUw0Dm3xXv87WgpvxC41vswYUxEnH/++QBM8enTdDwJDFTLysoiLy+PtLQ0srOzE38A26xZcMMNsHAh9O2r/d1JSZa8E83y5cFW9ocfwp490KiRDkzs2xfOOAMaNPA7Sn8TOPAY8JZzboCIpACpwAhglnPuQRG5DbgNuFVEOgMXoovLHAS8JyKHOucK/QreJJZNmzb5HUJcGTx4cOIn7ICfftLy+BtvQHo6vPKKlk5F/I7MREJoaXz6dFi0SM8fdph+YOvbVzecSY6tFcR9S+AiUh84GbgEwDm3G9gtIv2B3t7DxgOzgVuB/sBLzrldwHIRWQp0R5d3NcaY6FmzBj74AB58EK67DmrX9jsis79+/VXHLkybVro0fsUVmrTbt/c7ygpVtB/4jRU90Tn36H6+98HABuB/InIUMB+4DmjunFvjvccaEWnmPb4V8GnI81d554wxJrIKCuCZZ2DtWrjvPjjxRFi5MibKpmY/xElpPFwVtcDrVcF7HwNc45z7TEQeQ8vl5SmrVlXmTiwikglkQjUdFWuM2Xdvv63l8sWL4bTTtLyanBxXf9iNZ2+l8YwMLY3X8Ls3ed9UNAr9nii/9ypglXPuM+/4FTSBrxORll7ruyWwPuTxbUKe3xr4uawXds6NBcaC7kYWjeBN4jn11FP9DsH4adkyuOYaLae2bw+vvQb9+lk/d7xJgNJ4uPb6sUNEaqMjv7sAv3f8OOcu2583ds6tFZGVItLRObcEnV++2LsNBR70vr7uPeUNYKKIPIoOYusAfL4/MRgTauTIkX6HYPw2bx488gj8/e9Qq5bf0ZhwJVhpPFzh1A0mAN8DZwD3AoOB7yL0/tcAOd4I9GXomutJwCQRuRzIAy4AcM4tEpFJaIIvAP5mI9CNMftszx546in44guYMAEOPhjy8ixxx4NAaXz6dE3aCVYaD5c4V3GFWUS+cs4dLSLfOOeO9LYVfds598eqCXH/dOvWzc2bZ9uXm70766yzAJg5c6bPkZiock5Lq8OH6w5hffrA66/ruuUmdpVXGj/5ZG1lJ0BpXETmO+e6hfv4cD6e7PG+bhWRw4G16CIrxiSUHTt2+B2CibaVK7Uf9J134NBDNRmcc471c8eqQGl8+nTdLKaalMbDFU4CHysiBwIj0X7ousCdUY3KGGMiyTlN0vXrw4oVMGYMDBsGKSl+R2ZCVVQav/764IIqCV4aD9devwvOuWe9ux+ic7eNMSY+7N4N//qX7hT2wQfaWlu8OOZW1KrWKiqNX3GF9mcfcojfUcakcEahl9nads7dG/lwjDEmApzTZU9vugmWLoUzz4StW6FJE0vesaCi0nhGhpbGGzb0O8qYF04d4reQ+7WBDCI3Ct2YmJHh465CJoLWr4eLLoL339fS64wZ4A1QND4pLITPPgtO9bLSeETsdRR6qSeI1ALecM6dEZ2QIstGoRtTTQRWTCsogFNPhQsugKuugpo1/Y6setrbqHErjZdS2VHoSfvwHqlYX7ipAjk5OaSnp5OUlER6ejo5OTl+h2Ri0a5d8PDD0KmTJo0aNbQs+/e/W/KuasuXwxNPwOmna3fFBRdomfzMM+Gll2DDBt2S9frrLXlHQDh94AsJrjmeDDRFF3QxJmpycnLIzMwkPz8fgNzcXIYMGcJ1113HY489FpVtLHv37g3A7NmzI/7aJgqc08FpN9+sy6BmZMD27TrS3KaFVY3ySuOdOllpvAqE810N7RgsANY55wqiFI8xAGRlZf2evENt2rSJzMxMgOqzF7Upbft2Tdgffghdumip9rTT/I6qerBR4zEjnGlkuSKSDDT3Hn+QiOCcy4t6dKbayssr/8crPz+frKwsS+DV0c6duhd33bqQlqZLoV5xhbXwom3FimArOzBq/MADiy+oYqPGq1w4JfRrgLuAdUCRd9oBR0YxLlPNpaWlkZubW+71ihK8SUA7d8I//wmPPgqffw7t2sHzz/sdVeKy0nhcCOe7fx3Q0Tm3KdrBGBOQnZ1drA+8JNvnvZpwDiZPhltugdxc6N8fkvZl7K3Zq0BpfPp0ePNNK43HgXAS+Ergl2gHYkyoQHn8uuuuY9Om4p8dU1NTyc7Ojvh7Dhw4MOKvafZDQYFuNPLhh3DkkTp6+Y9xsYdS/LDSeFwLZzey/wIdgTeBXYHzzrlHoxtaZNg88PiXk5NDVlYWeXl5pKWlkZ2dbf3fiWzr1mDSGDkS2raFSy+1FdQioaLSeGBHLyuN+6ay88DDSeB3lXXeOXdPJWPzhSVwE65AuT7VtpX0R34+jB4NDz2kpdyePf2OKDFs2xYcNR5aGj/ppGDSttJ4TIj4dqLxkqiN2V9nn302YPPAq5xz8OKLcOutsGoVnH8+tGzpd1TxzUrj1UI4o9APBW5C9wD//fHOOeuMMsbsH+d0nfK334ajj4acHB00ZSonUBoPbMP57bd6PjBqPCNDKxpWGk8o4fxvTgaeBp4FCqMbjjGmWvj5Z2jRQkeU/+lPMGgQDB1qI8wrI7Q0PmOGLlMaKI0/+qiVxquBcH5bCpxzTznnPnfOzQ/coh6ZMSbifF9f/rff4K67NLG89JKey8zUQWqWvPduxYrgWuONG8OAAbpt6umnB9caf/99uOEGS97VQDgt8GkicjUwleKj0DdHLSpjTMSVtb58lS1LW1Sk5fHbbtPW96BBNkgtHBWVxq+7TlvZVhqvtsIZhb68jNPOORcXO5LZKHQTrnHjxgFwySWX+BpHtKSnp5e5ul3btm1ZsWJFdN980CCYNAn+8AddUe2EE6L7fvGsotK4jRpPaBGfRlbOm6Q453ZX+ok+sARujEpKSqKs33cRoaioqIxn7KfcXGjWDOrU0US0aRMMHmyl8rIERo1Pn66jxnfvDo4az8jQ7Tht1HjCi/g0spAXFuAU4M9AX3RzE2MSxsaNGwFo0qSJz5FER3nry0d8Wdpt2+DBB3VO98iRkJWlicgEFRbqmu6BqV6B0njHjnDttVYaN2EJZxrZcWjSPg9oBPwNuDnKcRlT5QYMGAAk7jzwstaXj+iytEVFMH48jBgBa9dqa/svf4nMayeCvY0az8iADh38jtLEkXITuIhkAwOBPOBF4F5gnnNufBXFZoyJoMBAtagtSztsGIwdC8cdB1OnQo8ekXndeGalcRNFFbXAM4ElwFPAdOfcThGpfIe5MSZmDB48OLIjzpct0725mzWDq66CXr3gootAJHLvEU+sNG6qUEU/RS2A04GLgDEi8gFQR0RqOOcKqiQ6Y0xs+vVXGDVKR5Rfeik8/TQcc4zeqpuySuPJybqinJXGTRSVm8Cdc4XATGCmiNQGMoBUYLWIzHLO/bmKYjTGxIrCQnjuObjjDli/XldPGznS76iq3ooVwbnZoaXxs87SVraVxk0VCKuO45zbCbwCvCIi9dEBbcYklGHDhvkdQuwbORIeeEDncU+frvO6qwMrjZsYtE/zwOOJzQM3Zj8tXaojzA89FFauhLlz4YILEr+fu6LSeEaGJm0rjZsIito8cGMS3cqVKwFo06aNz5HEiK1b4f774fHHdfvJadOgTRu9JSorjZs4YgncGM/FF18MJO488LAVFMCzz2q5fNMmHaR2//1+RxUdVho3cSychVySgXMovR/4o9ELyxjjm3/9S3ezOvlkHWWeaCPLA6Xx6dPhzTeLl8ZHj7bSuIkbYe1GBuwEFgJRWDDZGOO7JUtgyxZdfOWKKyA9Hfr3T5x+7tzcYCvbSuMmQYSTwFs7546MeiTGmKq3ZQvce6+2urt21XJy3bpw7rl+R7Z/Qkvj06fDwoV6PlAaz8jQkfRWGjdxLJyf3pkicrpz7p2oR2OMqRp79sAzz8Bdd+lgtSuu0EQezy3u8krjJ51kpXGTkMJJ4J8CU0UkCdgDCLofeP2oRmZMFRs+fLjfIVSdKVPgmmvgj3/U1cKOOsrviPbN3krjZ5yhx8YkoHAS+GjgeGChS/RJ46Za69u3r98hRNfixfDTT5rYLrgAGjeGPn3iq9VdUWn8mmv032alcVNNhPNT/iPwrSVvk+iWLFkCQMeOHX2OJMI2bYK774annoK0NN0JKzkZTjvN78jCs20bvPuuJm0rjRvzu3AS+BpgtojMBHYFTto0MpNorrrqKiCB5oHv3g1PPgn33KObj/z1r5rIk5P9jmzvrDRuzF6Fk8CXe7cU72aMiQeff67zuU8/XVuqhx/ud0TlC5TGA6ugBUrjhx5qpXFjyrHX3wbn3D1VEYgxJgK+/VbXKr/ySjjxRPjiCzj22Njs595baTwjQxO4MaZMSXt7gIh8ICLvl7xVRXAmPuXk5JCenk5SUhLp6enk5OT4HVLi27ABhg3T0eQjR8Jvv+n5bt1iK3nn5uqc8zPOgCZN4Pzz4bXXdDDdxIn67/jgA7jxRkvexuxFOPWom0Lu1wbOBwqiE46Jdzk5OWRmZpKfnw9Abm4umZmZAAwePNjP0BLTrl3wxBNw332Qnw9//7vO7T7gAL8jU4WFWgUI9GdbadyYiNmn7URF5EPnXK8oxBNxtp1o1UpPTyc3N7fU+bZt27JixYqqD6gS3nvvPQD69OnjcySV8OOP0KWL9nM/8gh06uR3RLB9e3AbzpKl8b59rTRuTDkivp2oiDQKOUwCjgVa7ENsphrIy8ur1PlYEjeJ++uvtex81106fWrRIv+nUQVGjU+friXw3bt1bfHQtcZt1LgxEbXXPnBgPjDP+zoXGA5cHs2gTPxKS0sr93ys940vWLCABQsW+B1G+dat08FpRx+tZfO1a/W8H8m7sBA+/RSysuDII3Xzk2uugeXL9evs2drynjgRLrrIkneMi/XfTVMO51xC34499lhnqs4LL7zgUlNTHfD7LTU11Q0bNqzM8y+88ILfIf+uV69erlevXn6HUdqOHc49+KBz9eo5V7Omczfe6NyWLVUfx7Ztzk2Z4twllzjXtKlz4FxysnO9ezv3yCPOLVlS9TGZ/Vbe72ws/W5WF8A8V4n8ttc+8HjfD9z6wKteTk4OWVlZ5OXlkZaWRnZ2NllZWTHfN967d28gBhdy2bxZW9knnQT/+EfVtrhzc4Nzs600npDiedxKoqlsH3g4CXwGZewH7uJkfrgl8NiQlJREWT9rIkJRUWxsMx9TCXz+fBg7VldSS06GNWugZcvov29RUXCt8ZKjxgMD0E44AWrWjH4spkrEw+9mdRHxQWzYfuAmAtLS0sr8lF9en3m1tWaN9iuPG6fzpG+8UTfqiGbyDowaD2zDuX59cNT4I49o4rZR4wnLfjfjVziD2GaKyOlRj8QktOzsbFJTU4udS01NJTs726eIYsyuXTBqlJbHc3Lg5pt1ili0NlbJzYV//1tL4I0b64IqU6fCqacWX1Bl+HBL3gnOfjfjl+0HbqpEYBGXkn3jsbS4y6hRo/x786QkeP55XaHs4YehffvIvn5FpfFrrrHSeDUWD7+bpmzh9IEvA84lTvcDtz5wE7O++AIeeEATd9268Msv0KBB5F6/vNL4iSdqWdxK48bElGj0gUd1P3BvlPs8YLVzLsNbOOZldNT7CmCgc26L99jb0TnohcC1zrm3oxGTqZ7mzJkDQM+ePaP7RqtWwYgRMGECNG8O33+va5ZHInnbqHFjqo1Y2A/8OuA7IFCSvw2Y5Zx7UERu845vFZHOwIVAF+Ag4D0ROdQ5VxihOEw1N2LECCCKo9ALCrSf+6GHdCGU22/XW716+/6aoaXx6dPhm2/0fIcOui56YK1xK40bk3B83Q9cRFqjc8yzgRu90/2B3t798cBs4Fbv/EvOuV3AchFZCnRHV4czJvYlJ8NHH2l/80MP6epl+2L79uLbcIaWxm3UuDHVht/7gY8BbgFCmyDNnXNrvPdeIyLNvPOt0AF1Aau8c6WISCaQCTYVwvhs7lwtl48fD2lpmnBr1ar861RUGs/I0NJ4o0Z7fx1jTMIoN4GLyBjn3PUiMg1dXq8Y51y//XljEckA1jvn5otI73CeUsa5MvvlnXNjgbGgg9j2OUhj9lVeHtx2G7z4os7hXrFCE3i4ydtK48aYvaioBT7B+/pIlN77BKCfiJyN7jNeX0ReANaJSEuv9d0SWO89fhXQJuT5rYGfoxSbMfvGObjnHi2RA4wcCbfcoqPM98ZK48aYSig3gTvn5nt3v3POrQ+9JiL7vbqEc+524Hbv9XoDNznnhojIP4ChwIPe19e9p7wBTBSRR9FBbB2Az/c3DmMCxowZs+9Pdg5E9Pbzz/CnP+kUsb114eTlBedmW2ncGFMJ4Qxi+1hERjrnJgGISGA70c5RiulBYJKIXA7kARcAOOcWicgkYDFQAPzNRqCbSOrateu+PfGTT3TJ0yeegOOOg6ee0pZzWQKl8UB/tpXGjYkM5/QD8M6dUKcOpKTAtm2wbJme27VLv+7cCT176lLFP/wAb78dPB+43XADtG4N772nv88lr0+dqh/OX3sNzj3Xt39yOAm8NzBWRC4AmqNTvrpHMgjn3Gx0tDnOuU3AqeU8LhsdsW5MxL333nsA9OnTJ7wnrFgBt94KkyZBq1awdaueL5m891Yaz8iI3pKpxlSVgoJggqtVS6dH7tmjq/6VTICdO0OnTvo789xzwfOBJHv++XDyybq//PXXl75+3336YXfuXK1WBc4HvPYa9O8PH38M55xTOtb33tNlgxcsgGuvDZ6vUQNq19Y97Fu31viWLNFztWvrB4MDD9RKG8BBB0X3e7oX4YxCXyMib6Hl7iLgdufc9qhHZkwVu//++4EwE/ioUXDvvZqI774bbroJDjggeL2s0niDBsUXVLHSuIkU5zSJBRKZCDTzJvAsWAC//lo8gTZvDr166fXHH9dEFdpC7dYNLr1Ur597rn4IDX3+wIFw5536nMaN9VxhSEH09tv1d+TXX+HYY0vHm52tszN++UXX2w8IJMrDD9cEXlCgMzAC5xs21A8Hgd+1Fi1g6NDg9cCtSxe9fswx8Oqr+pzQ64Etefv1g02b9HqtWprAQw0YoLfydI9oW7bS9prAReRddDGXw9GBY8+JyEfOuZuiHZwxMaWwUNcsF9GvAwfqH6nWrbU0/umnVhqvrgoLiye43buhXTu99v33sHp18es1asCgQXr95Zdh8eLi1xs10jEUoAlu3rziLdCOHeF1b3hQ9+66LG+oU06B99/X+wMGwE8/Fb/er18wgY8aBevWBVuftWvrz3gggW/erB8QAgm0du1gyzMlBa66qnQC7eatBlq/PrzxRukEGthdL9DKrV1bX0tKTDbq0EE/gJSnXTt47LHyr7doAeedV/71QDxxKpwS+r+dc69597eKSE+8wWfGVBsffqilvBEj4IILtHT+229aGr/zTiuN+ynQ+izZz5merokjLw+++6709cGDtSU3e7b+P5Ys8/7nP5CaCk8/rcvelnx+Xp5+kBs2TB8TKjVVfz5Ay70TJxa/3qxZMIFPnKhJLjTBhc422L1bE9uBBwavH3JI8PrQoVrZCX1+m5AJO889py3Z0OsNGwavL1+uybO8cRsffVT+914ERo8u/3rNmvrhtTzJyZFd/7+aCaeE/lqJ4wLgvqhFZEws+eknnQb26qs6aGX7dt2Gc/p0beFYaVyrD/n5pRNcy5b6vdi6FebMKZ0gTz9dE9EPP8Czzxa/tmuXlmG7dtUEe9ttpZ8/bRr84Q+6d/pll5WOa+FCLcW+9hpcd13p66efrgl8zhzdAa5kK3LXLk3EycnBvs/Q64GKTEaGjoEIbWXWqRN8nxEjSrdSQ69PmaLvUbL1GfDEExV////2t4qvn3xyxddDYzFxJZwSeg/gCeAwdCnVZGC7c84+NpnE9sgjkJWlf1x79dK+skCiiLXS+NatpQf6NGwIbdtqgp02rfT1rl31j/uOHfrvLHl94EBtJa5bpwOBSibQe++Fq6/WEnGgzzHUs8/C5Zdrgi5rINFLL2kCX71ak1TJBPrrr/q4lBRNniXLsIFWZLduWgYu+fxW3kKNAwboY0Kv1aql/cCgHxS8dfDLdOWVeivPOeeU/e8LKOt7E6pkv6sxYQrnJ+df6CYik4FuwF/QOdjGJJRnnnlGW1Vbtmirb/p0bWHt2KFTxU44Af7xD03aJUvjv/xSeqBPjRpw1FF6fdYsWLu2eAu1eXMt4wLcfz+sXFn8+V276qIwAH36lL5+7rm6RCtoyXR7ibGlV14JY8dqy66sqS433KAJvKhIk20gsQWS3ObN+riUFO1LLJkgO3XS6y1alN2CDfSDdu6sU+dKJuBA6fSUU/R7XJ6ePWHmzPKvH3GE3spz0EEVjxYur+VrTIwL66Ofc26piCR7867/JyJzohxXTPqq91elzjUb2IxWV7eiML+Qb87+ptT1Fpe0oOUlLdm9cTeLBiwqdb3VsFY0G9SMnSt38t3F35W63mZ4G5r0bUL+knyWXLWk1PW2d7SlUZ9GbFuwjaXXLy11/eBRB9OgZwN+mfMLy0YsK3X9kDGHUK9rPTa/t5nc+3NLXe/4TEdSO6aycdpGVo5eWer6YRMOo3ab2qx/eT2rn1pd6nqXV7qQ0iSFNePWsHbc2lLXj5xxJMmpyax+cjXrJ60vdf3o2UcDkPdIHpumbyp2Lbl2EkfOPBJEyM1ayPZZeUjRLpKKdiNFu6hZt4iDZw+FpCRWXfIahZ9+E3J9NzXrC80W6OItG066jbT5FX6hmQAAIABJREFUk6i1Mw/nChHASQ1k0ADo25et906lzuefIp8+TNLt2UjRLgrrNydly3IAtnc6k7prPy0W366mnai1Xv9P8y+4kdQtxX8+drY5htpeAv9t9BRS8ldRlJSCS0qhKKkWhZsaUc/L3xsX1ye5IJ2ipFq45BSK6qVQg2NoBBTmF7K65bUIznt+LYqSUqjX+iiaArs37WHZMRO919XXdkkptDimPc2AnZuT+e6YD0t979u0bkMTIH99LZZsvw9KfD5oe25bGgHb8mqy9M3SI/cPHtWIBu3gl28KWTaiBroL8G/eDQ4ZU4d6XWvF589enWT92QNW3LeCLbO2FLtes3FNDp9yOADLbl/GL3N/KXa9VutadH5Bl9L48fof2b6g+Dc39dBUOo7VD4lLMpeQ/0N+set1u9alwxhtRy0esphdq3YVu97g+AYc/MDBAHx7/rfs2bSn2PUDTz2Q9JHpAHxz1jcU7ii+pEbjjMak3aSLENnfvYp/9poNalbqelUJJ4Hni0gKsEBEHkZHpB+wl+eY6sAVBKeO7MonZUfe78kxkETZehA0aU7y+hU0WvNWyPVdSNFuWHMntG9NypL/o+33zyMlr69+A1q1ou7cHJp/+sTvr5tUtJsktxs2roemTWnwydO0/ezJ0jHuuhDq1KHet6/RYMn44uEjkHUATJlC0yVLvHNQlHwAe1KaUNioFQe8+CIAu59YSNGWfC/51aQoqRbJbVvQxHutzR2HsLl+n2AClRRqH33Q77vtrOz+IIWbdxVLsA1ObU66d/2nHuPL/CMa2OVn5aEjS/3Tmh0X/MOx6aDSU13qpLX4/f6Oep1Kf29q7sOmKsaYmCHOVbzXh4i0RdcjrwncADQAnnTOlf7YE4O6devm5s2b53cYkRcYeSuipcmCAh1wVbKf8pBDoH17LfG+9FLpgUL9+kGPHjoStax+0DvvhDPO0AUTBgwofq2wUPtWMzJ0FG3//qXj/OAD6N1bR9oGysWh5s3TeaITJ+r7lyzDBnbxmjEDJk8uXYa98UadqjJvng5aKvn8k07SUvb69dqX+/nnOvjs3Xdhw4Zg+TQlhZeaNuW5du14p6JRt8YYEyUiMt851y3cx4czCj1QX9gBRHNr0fgSWHWoqEgTCOhgnu3bi/dzNm0anOz/n/8EF1QIPOboo3XVH9CvgdG8gduAAXDzzdpHmJ4efO4ur2R2xx06TWXz5mCfZKgHH9QpT5s2wV//WvxazZo6yKlHD329efOKJ8jACFzQxRpKTlUJXRDhmGN0qk3JftRA32S/fsUXZKhdW98/kED//Ge9lefss/VWnm7dgn2uofLyim/DuWuX/n+ddpquV964MUsfeICLfvqJeatWUWvDBnJychhc1ocNY4yJIRVtJ1q6YyOEc+7IyIcT4048Eb76Kpi4QRPBO+/o/bPO0uU1Q513nk5BAh3punGj3hfRJHbxxcEE/t13wfO1a+sUnHpeETUlRV+rZALt2VOvN2yoW1eWbKGmp+v1tDQd7Rs6Cjd03menTjpauDyHHqoDncrTujUMGVL+9bp1w9uRa38VFemiFoFV0AILqhxyiI6YbtFCW/VNmsCf/0xOTg6ZX3xBfr72Me7atYvMzEwAS+LGmJhWbgldRBagXYITgWloC/x3IS3zmBbREvrDD2spNjRBtmun6/YCvPWWrv0ber1Jk+CKTJs2aSKuVat469Psn8Ba49On64Iq69bph5MTTtAR4337apfDTTfp9fbtdfGJ/v1JT08nN7f0j3Lbtm1ZUfLDmDHGRFFlS+gV9oGLSCfgIqAvugvYROAdbzGXuJCwfeDVXVml8cCCKhkZ+jWwoMrzz+t85NRU7dP/+9/1QxSQlJREWb8DIkJRoMpijDFVIKJ94M6574G7gLtEZBDwPPAQ8I/9itKYytpbabxvX+3iCCyosmePVkuaNdNFWDIzddORpk2LvWxaWlqZLfC0ve3jbYwxPkuq6KKItBKR4SLyCTAEHYX+VJVEZsz27boM5uWX60IcPXrooLyGDXVBle+/1377Rx/VxUBq1tRS+YwZcOSROr7AOR2o9+9/l0reANnZ2aSmphY7l5qaSnZ2Yu5am5OTQ3p6OklJSaSnp5OTk+N3SMaYfVTRILYPgXrAJOASwFuWiRQRaeSc21zec43ZZ5UpjZe0aJHu3PT22zro7ppr9vp2gYFqWVlZ5Obm0qRJE8aMGZOQA9hycnLIzMz8fcBebm6uDdgzJo5VNIhtxf+zd97hUVVbH35PQksAIVSpCb2kQgglSBKkSpN6ASNVQQEVLAjCB1IVEdELKggqIKDoBSkiIkVCEFAgJIReJAlVCCVAGimzvz925iRDOsxkUvb7POdh9qnrnAyzzl577fVDJrGR5l9AFqkSQtS1rGnmQY2B53PShsa3boVjx+T6+vVTE9DShsYzY/NmmUxYtqwMlY8ZIxMGc4Gfnx8AAQEBub6NgoBK2FMo8jdmGwMXQjiZxSKF4lGio2HXLum0jVnjNjbSUX/8caoMZ3ZZ+gkJcOUK1K0rQ+hvvy2VwypWzJv7KGBcunQpV+sVCkX+RsngKPKGzELjXbvKXnZWofFHEUKe6+23ZZW10FBZnOWjjyx7DwUclbCnUBQulANXWAZjaNzotNOGxjPKGs8poaGyfOru3dCkiZzPreQYc8TcuXNNxsChcCfsKRSFHfXLpzAfMTGyoEpGofH581NlOB+3gM2+fbKuevnyUj/6lVesr8NdgEibsHfp0iVq167N3LlzVQKbQlFAyVbMBEDTNFugKmkcvhCiQAycqSQ2C3P5cmoC2h9/PFloPCMePpQlZj08pHjK/PmypruDg/nuIYVbKWVuK1WqlM2eCoVCYX7MLmaiadrryGIuNwBjaSoBFL1a6ArLhcYfRQg5B/ydd6SSWni4rKX+3ntPfAuZoRy3QqEoSOQkhD4eaCSEuJ3tnorCiaVD448SHAxvvgl794KzMyxdmidCKCtXrgRg+PDhFr+WQqFQPCk5ceCXgXuWNkSRz7B0aDwzTp2S+uAVK3JoxAgG795NWJcueTJeqxy4QqEoSOTEgV8EAjRN+xV4aFwphFhoMasUeY/BIPXAjbXGHw2N9+gB7dpZJmksPh4OHpRzuZs2hWXL+MlgYMSbb6qqYQqFQpEJOXHgl1KWEimLorCQWWi8bVvLhMYfRQhYv14WX7l2DSIipF73yy/zrpOTyXQngNjYWKZOnaocuEKhUJADBy6EmAmgaVpZ2RTRFrdKYTkuX4atW7n61VdUOnaMksB9TeNOq1Y4ffKJDJHnRSWzI0fkOPeff4K7O3z7rXTeKaiqYQqFQpE1OclCdwFWAxVS2reAoUKIkxa2TWEOMgmNx2kaXwBbgX1CUCI0lGWAf14473//BW9vORVs+XIYMQJsbU12UVXDFAqFImuylBNNYRnwlhDCUQjhCLwNLLesWYUHq8g3xsSYynC2agUffCDLjc6fT4fq1WkgBG8De4AkUsPTFiMuDv73P/n56adl6Pz8eXj55XTOG6wj87lt2za2bdtmsfMrFAqFWRFCZLkAx3KyLr8unp6ewlqsWbNG2NvbC+S8eQEIe3t7sWbNGvNf7NIlIb78UojnnhOiZEkhQIhy5YQYOFCINWuEuHVL31XTNBObjIumaea3y2AQ4ocfhKhVS9p04kSOD12zZo1wdHQUmqYJR0dHyzw3hUKhyCcAR0Qu/Fu2ldg0TdsIHEWG0QFeBFoIIXqb/3XC/FizEptF5RszyxqvVy9VhjOTrPE8k5X8+285zn3wIDRrBp9+Cr6+5ju/mfnyyy8BGDt2rJUtUSgURRGzV2IDRgIzgZ9T2oHAiMewrchh9kQsY9b41q0ya/zffx8razxPRC1iYuRc8ZIlZYLa0KEZhsrzEz/99BOgHLhCoSgY5MSB1xBCvGFxSwohZknESska55dfUguqPPWUaUGVXCaeWUzUIiYGVq2StcpLl5Y2u7lB2bJPdl6FQqFQpCMnDnyppmklgBXAD0KIKAvbVGh4rJ5uVqHxMWOyDI3nBn9/f/PNpzYY4PvvYfJkuHpVFmPx85ORAYVCoVBYhJzMA39G07SGyLD5EU3TDgErhBA7LW5dASfHPV0zhcatwoEDMGGCFDjx8oIff1SOW6FQKPKAHOmBCyHOaZr2f8ARYBHQTNM0DZgihPg566OLNpn2dC0QGs9zkpNh2DCIjYXvvgN/f/nioVAoFAqLk5NCLm7I3nd3YCfQUwhxVNO06sBBUpPbFFmRNjS+dSuEhMj1Zg6NW5zoaFi0SPa67e3lfHMnJznmXcAJCAiwtgkKhUKRY3LSA/8c+BrZ244zrhRCXEvplSsyIyYGdu1KrTWeNjT+0UfSaTdunD9D449iMMhe9pQpcP26DOn36yflPhUKhUKR5+RkDNwni22rM9tWZCkMofFH2bdP9riPHpVV3X7+GVq3trZVZmfBggUAvPPOO1a2RKFQKLIn2wFLTdPaapq2U9O0c5qmXdQ0LUzTtIt5YVyBwGCAQ4dg2jRZrKR2bSm/ee6cDI3v2gWRkTK568UXC57zFgKmT5f3sHatLMpSCJ03wNatW9m6datVbbBK6V2FQlEgyUkI/RvgTSAISLasOQWETELjNxs04Jvy5VkdFUVsYiJzW7TAv0MHa1ube+7flyH+sWOhRg1YvRoqVJBj3gqLsXbtWpNph0oDXaFQZEVOHPg9IcRvFrckv3PlSurc7AxC4/+Ljmb422+nzvm+dKng/fgmJ8OKFTB1Kty8CXXqSLGRmjWtbVmRYOrUqUoDXaFQ5JicOPA9mqZ9jMw2f2hcKYQ4ajGr8iNz58LSpalZ4z16yKzxEiUAmOjkVLB/fPfskXXLjx2TSXZbt8p53Yo8Q2mgKxSK3JATB94q5d+0BdYF8Kz5zcnHvP02vPFGplnjBf7Hd9UqiIqSY/UDBhSMzHgzY2dnZ9XrKw10hUKRG7JVIyvo5JUaWZ4pfJmLqCiYMwdeeAGaN4e7d6FUKbCyEyvKPDoGDqBpGkIIHB0dzVOvXqFQ5Ftyq0aWo7JZmqZ11zTtXU3TphuXxzexcDJ37lzsH0nyMrvClzlISoIlS6BBA1i4EIzFSxwclPO2Mv7+/ixbtgxHR0cg1XlDakKbykpXKBRGcjKNbCkwEHgd0IABgKOF7SpwpP3x1TQNR0dHhg0bxtSpU/PPlKDdu8HDQ2aXOztDUBC89ZZ1bcpHzJ49m9mzZ1vVBn9/f8LDw3F0dOTR6Jgxp0KhUCgAEEJkuQChj/xbBtiR3XH5ZfH09BTWYM2aNcLe3l4g8wUEIOzt7cWaNWusYo8QQogZM4SoU0eIDRuEMBisZ0c+Ys2aNcLR0VFomiZKliwpGjdubG2ThBBCaJpm8t0xLpqmWds0hUJhIYAjIhf+LSchdGP51NiU+ueJQB3zvUIUTrKaEpRn3LkjK6ht3izbkybB6dPQt2+RTFJ7FOOYc0REBEIIHj58yLlz56wfKSHzxDWV0KZQKIzkxIFv1TStPPAxcBQIB9ZZ0qjCgFWz0hMT4fPP5Tj34sUQGirXlyoFJUta/voFhIxesgwGQ74IUxeYnAqFQmE1snXgQojZQogoIcQG5Nh3YyHENMubVrCxWg/qjz/A3R1ef12OdwcHyzKvinTk56l/GeVULFu2TGWhKxQKnUwduKZpL2qaNiTtOiHEQ+A/mqa9YHHLCjhW60FdvSp74Js3y3Kvbm6WvV4BJr+HqY0JbQaDgfDwcOW8FQqFCVn1wN8GNmWwfl3KtidC07Ramqbt0TTttKZpJzVNG5+yvkKKeMr5lH8d0hzznqZpFzRNO6tpWpcntcGS5FkP6vZt2dtetMh4YTh5Enr1UuPc2aDC1AqFoiCTlQO3FUI8eHRlyrriZrh2EvC2EKIJ0BoYp2laU2AysFsI0QDYndImZdsgwBnoCnypaZqtGeywGBbtQSUkwGefQf368OWXUqMbpN54SnlXRdaoMLVCoSjIZOXAi2uaVvrRlZqmlQWe2EMIIa6LlHrqKS8Fp4EawPPAqpTdVgG9Uz4/D6wTQjwUQoQBF4CWT2pHgWTvXnB1lbXLvbxk/fIPP7S2VQWStC9ZgwcP5sSJE9Y2SaFQKHJEVrXQvwHWa5o2RggRDqBpmhPwRco2s5Fy3mbA30BVIcR1kE5e07QqKbvVAP5Kc9iVlHUZnW80MBryz3imWRBChsVtbOS/W7dCt24qVG4mDh48aG0TFAqFIsdk2gMXQiwANgN7NU27rWnaLWAvsFUI8bG5DNA0rQywAZgghLif1a4ZmZnRjkKIZUKIFkKIFpUrVzaHmdYlMlIqoBmrprVrJ8e5u3dXzluRr1i7di1OTk75p/qgQlGIyXIamRBiqRDCETl9rI4QwlEIscRcF9c0rTjSea8VQvycsvqGpmnVUrZXA26mrL8C1EpzeE3gmrlsyZc8fAgLFshx7uXLpbM2lte0zdfD/4oiyKOFcVT9doXCsuRIzEQIEZ1RQtuToGmahgzFnxZCLEyzaQswLOXzMGQUwLh+kKZpJTVNqwM0AA6Z06Z8xcGDsl75xInwzDNw/LgUH1E9bkU+JV9UH1QoihA50QO3FG2BIcBxTdNCUtZNAeYBP2ma9hJwCSmeghDipKZpPwGnkBns44QQyXlvtoVJTpa96ypV4KmnYPt26JKvZ8wVGmrWrGltEwo0+bkwjkJRGFF64PmFGzdkxbR//4UtW+Q6Y9KaQlEAcHJyIiIiIt16R0dHwsPD894ghaKAYXY9cE3T7DVNm6Zp2vKUdgNN03o8iZGKNMTHw0cfybrlK1bI8e6kJLlNOW9FAUIVxlEo8pacjIGvAB4CbVLaV4A5FrOoKBESAk2bwuTJ4OcnM8sXLoRi1hzZKLpMmDCBCRMmWNuMAosqjKNQ5C058RT1hBADNU0bDCCEiEtJQFM8LvHxUhnMyUkuy5ZBx47WtqrIExISkv1Oiizx9/dXDluhyCNy4sATNE2zI2XOtaZp9ZA9ckVuuX4dpk6Fo0chKAjKl5fqYQqFQqFQ5JKchNDfB7YDtTRNW4usT/6uRa0qbMTFwdy5cpx7zRro1EnWMlcoFAqF4jHJtgcuhNipadpRpOCIBowXQtyyuGWFhfPnZXj80iXo0wfmz5eJagqFQqFQPAHZOnBN03xSPhoLuTTVNA0hRKDlzCoEREXJEHmdOtCmDaxaJRPVFPmWhg0bWtsEs5KYmMiVK1eIj4+3tikKhSINpUqVombNmhQv/mTCntnOA9c07Ze010UqgAUJIZ59oivnEXk+D/zKFZgyBXbuhLNnZTEWRZ6xdu1apk6dyqVLl6hduzZz584tsklVYWFhlC1blooVK6LyThWK/IEQgtu3b/PgwQPq1Kljsi2388BzEkLv+cgFagHzc3qBIkNsLHz8sQyRJydLqU+bHFWqVZgJYy1uYzlPYy1uoEg68fj4eJycnJTzVijyEZqmUbFiRSIjI5/4XI/jYa4ALk985cLEjRvQqBHMmCEVwk6flvrcZcpY27IixZPW4h49erTu8AsLynkrFPkPc/2/zMkY+GJSZTttAA/gmFmuXtC5dg2qV5d1ywcMkElq7dpZ26oiy5PW4j537pw5zVEoFIUI42izpsmA67//Qo0aULKk9WzKSQ/8CBCUshwEJgkhXrSoVfmdS5fghRegXj0ID5d/0YULlfO2MrVr187VeoXl0TSNIUOG6O2kpCQqV65Mjx6Wq8a8bNkyBg4cqLfv379PvXr1CAsLs9g1FYULgwFiYlJn+8bGwrFjcP++bAsB0dHWnw2crQMXQqxKs6wVQuzPC8PyJdHRMH26DJdv3AjvvAOVKlnbKkUKqhZ3/qN06dKcOHGCuLg4AHbu3EmNGjUses1Ro0Zx5coVdu3aBcD06dMZOXJkuoQhhcKIwSADqkYHnZQkR0Lv3pXtEiXAwSG1ynXp0uDmBmXLWsdeI5mG0DVNO05q6NxkEyCEEG4Wsyo/EhMj65ZfvgyDB8O8eaB6dvkKY6KaykLPmGC/4HTrqvynCjXG1iA5NpnQbqHptj89/GmqDa9Gwq0ETvY/abKtWUCzHF33ueee49dff6V///788MMPDB48mH379gEQExPD66+/zvHjx0lKSmLGjBk8//zzhIeHM2TIEGJiYgD4/PPP8fb2JiAggBkzZlCpUiVOnDiBp6cna9asMRlT1DSNJUuW8MILL7By5Up2795NUFBQjp+TonBiMMj84uLFZQ/6/HnpgKtVk0HUf/+Fp5+WE4eKF5flOoz9gWLFwNHRuvZnRFZj4EpxLC2lS8OECdC6NXh7W9saRSY8SS1uDw8PM1ujABg0aBCzZs2iR48ehIaGMnLkSN2Bz507l2effZZvv/2WqKgoWrZsSceOHalSpQo7d+6kVKlSnD9/nsGDB2OcDhocHMzJkyepXr06bdu2Zf/+/TzzzDMm13Rzc6NLly506NCBTZs2UaJEiTy/b4V1efBAOu1y5WT71Cmws5Mjn5omnbStrdymaeDhkTpxSNNkGY/8TqYOXAiRTthX07RKwG1R2EXEM+Ott6xtgcKCfPbZZ9Y2waJk1WO2tbfNcnuJSiVy3ON+FDc3N8LDw/nhhx/o1q2bybYdO3awZcsWFixYAMipb5cuXaJ69eq89tprhISEYGtra5Jg2LJlS2rWrAnIl67w8PB0Dhxg3Lhx/Pbbb7Rv3/6x7Fbkf4RIVV2OjJQ6UbVqyfb165CYmOrAq1UzFXp8dESlIM76zSqE3hqYB9wBZgOrgUqAjaZpQ4UQ2/PGRIVCUdDp1asX77zzDgEBAdy+fVtfL4Rgw4YNNGrUyGT/GTNmULVqVY4dO4bBYKBUqVL6tpJp0n5tbW1JSkrK8Jo2NjbYFMRfZUWGGAzSQRvD2tevw61b4OIinXh8vBzpNOLomNrDBqhYMW/tzQuy+nZ/DnwA/AD8AbwshHga8AE+zAPbFIo85cUXX+TFF4v2BAtLMXLkSKZPn46rq6vJ+i5durB48WKMQb3gYDlOf+/ePapVq4aNjQ2rV68mOTk5z21WWJeHD2WJDYNBtm/ckGFw4/taqVKyd22MB9eqBY0bpx5fsqRpj7swkpUDLyaE2CGE+B/wrxDiLwAhxJm8MU2hyFuuXLnClStXrG1GoaRmzZqMHz8+3fpp06aRmJiIm5sbLi4uTJs2DYCxY8eyatUqWrduzblz5yhdunRem6zII4wOODYW/vlH9qRB9qYvX05tOzhA3bqpIXMHB5lHXJSDLJnWQtc07agQovmjnzNq52fyvBa6osDilyI2ExAQYFU7zMXp06dp0qRJro65ffs2V69eJSEhgRIlSlCjRg0qFsbYoyLPEUKOSdvYyJ5xXJzMBK9dWyaMGR24k5PMDk9Olr3vJ9T7yLdk9P/TnLXQ3TVNu4+cNmaX8pmUdqnMD1MoFAWR27dvExERgSElZpmQkEBEhMxlVU5ckVuEkKKMJUrISTxJSRAaKkPdVavK9WXKpIa57e0h7QiLra3pGLYiPVlloatHp1AUIa5evao7byMGg4GrV68qB67IEdeuScdsrG8VHg4VKkgHXry4TCwzSkTY2sqQuOLxKeRD/ApFzmnTpo21TbAqCZnUhcxsvaLoIYQMaxt7xhERcp2Tk2zfuyfnWleqJMeqGzeWDt1I5cp5bnKhpggP/z85a9euxcnJCRsbG5ycnFi7dq21TVI8AR9++CEfflh0J1hkVuxEFUEpuiQmygrSRsLC4EyaNGZbW9NM78aNU505SGeuwuCWQznwx8SoPR0REYEQQteeVk5cUVCpUaNGunnTNjY2Fq9drsg/xMXJkqLG3Obr1+HcudS2g4NpL7pmTbkYUeq1eYty4Dkgo572k2pPK/If/fr1o1+/ftY2w2pUrFgRR0dHvcddokQJHB0d1fh3ISYmBi5eTJ1b/eABXLkie94gnXWDBqn7OzhI9WRF/kA58GzIqKc9ZMgQPTv3UXKqPa3If9y+fdukSlhRpGLFiri5udGiRQvc3Nye2HlbQ04UZOW31atX6+1Ro0bx8ccfm+yzcuVKBg8ebLLu1q1bVK5cmYcPH2Z67uHDh7N+/XrzGmxBjOPWIB32qVOpFcuSk6XTNqY5VKgga4IbR03s7OSULtWzzp8oB54NGfW0syoFr7SnFYpUrCEnCrBo0SKmT59OVFQUBw4c4O+//2bChAkm+/Tt25edO3ea/P9ev349vXr1MinXWpAQQjpjo0OOj4fg4FRZzOLF5Zi18SesbFlwdzdV3Srs1csKE8qBZ0NuetRKe1qRn/Hz80u3fPnll4Ac/slo+8qVKwHZM310W04xyokCupyokZiYGEaOHImXlxfNmjVj8+bNAISHh9OuXTuaN29O8+bNOXDgACCL7Pj5+dG/f38aN26Mv79/hi/UTk5OjB49mnfffZexY8fy+eefU/yRiiBPPfUUPj4+/PLLL/q6devW6fbNmjULLy8vXFxcGD16dKbXuXXrFgBHjhzRn0tm92VuhJAa1sYetcEg51pHRsp2yZIyI9xYSr5ECWjYMHUql+pZF2yUA8+GnPaoHR0dWbZsmdKeVigeYdCgQaxbt474+HhCQ0Np1aqVvs0oJ3r48GH27NnDxIkTiYmJ0eVEjx49yo8//sgbb7yhHxMcHMxnn33GqVOnuHjxIvv378/wuu+88w7bt2/H2dkZHx+fDPcZPHgw69atA+DatWucO3dOVy977bXXOHz4sB5B2Lp1a47vObP7Mge3b8sFpAMOD5d1wkFmfNepI0Phxu21a8t52IrChwqWZMPcuXMZPXp0ujB6WhwdHQkPD887oxQWoUOHDtY2waJkVSLW3t4+y+2VKlV67BKz1pITDQ0NRQjBmTNnMBgMGSqT9ejRg7Fjx3L//n1++ukn+vfvj23KvKc9e/Ywf/58YmNjuXPnDs7OzvTs2TNH95zZfeW2tC3AzZuexHglAAAgAElEQVRS2MMok3n7tux5G9MT6tc3nWutcg6LDsqBZ4OxRz116lQiIiLQNM0klKbC5oUHo5CGwvzktZyowWBg7NixrF69mqVLl7JkyRLGjRuXbj87Ozu6du3Kxo0bWbduHZ9++ikgHe7YsWM5cuQItWrVYsaMGcQbVTXSUKxYMb16Xdrtmd1XZqTVtb55E+7cSVXWio+X07uM1K1rOrfaOH6tKHqoEHoO8Pf3Jzw8HCEEq1evxtHREU3TVNhcocgheS0n+tVXX9GgQQP8/PxYuHAh8+fPJ9I4MPwIgwcPZuHChdy4cYPWrVsDqc64UqVKREdHZ5p17uTkRFBQEAAbNmzI9r6MJCSkJpJFRspEM+Mt2tjIZDNj5nitWpD2PaBYMTV2rZAoB55LjM7cYDAQHh6unHch4rnnnuO5556zthmFkryUE7158yYfffSRHr6uXr0648eP5913381w/86dO3Pt2jUGDhyIluIZy5cvz6hRo3B1daV37954eXlleOz777/P+PHjadeunR56z+i+pkyZps+1vntXJpoZe9V2dnK+tdFhV6oE9eqlymQqZ63IjEzlRAsLSk5UkVOUnKjCHBgMMjO8VCm5xMTA6dMy9F2hgux9370ri6KoKrVFF3PIiaoeuEKhUDwBQsCtW9Jpg3TgFy7IcWyQPey6deWca5BO2yinqVA8CSqJTaFQKHLJjRsykcwom3n1KpQrB089JceomzRJnXttY5M6rUuhMCfKgSsUCkU23LghQ9/GqVxRUdJRG2UzmzSRiWdG1LxrRV6gHLhCkYKl63MrCg43b0on3bChbD98KBcjDRqkJpmBCocrrINy4ApFCu+88461TVDkIcb8XU2TxVGuXgVnZxka1zS5GAzSUT9akDGDmjAKRZ6jvoYKhaJIYDCkTtW6dw9CQmSRFJDh7zJlUrcbZTSVo1bkZ9TXU6FIIbciHYrsKWNUzTAzUVFRuhBLRsydOxdnZ2dcXd3w8PBg796/CQ6WjhtkglmFCqlzrJ96SmaKP6J3kicEBARkOHzz8ssvc+rUqTy1xdbWFg8PD1xcXOjZsydRUVF5ev3s6Natm1lsmjFjBpqmceHCBX3dp59+iqZp5Gba8cqVK3nttdeeeJ/HRTlwhUJR4MjIgSclyUSzgwcP8ssvW/n666Ps2BHKrl27qFevFlWqSHUukP86OqZmij8pua0UlxO+/vprmjZtavbzGsmoBK2dnR0hISGcOHGCChUq8MUXX1jsWo/Dtm3bKF++vFnO5erqqgvZgJSSteTztgTKgSsURYEJE8DPz7zLI/raOSUyMpJ+/frh5eWFl5eXriZ26NAhvL29adasGd7e3pw9exaAkydP0rJlSzw8PHBzc+P8+fNMnjyZf/75Bzc3DyZOnIgQcOKEHMe+fv06lStXom7dkjz1lCyHWrNmdWrVgsDA7TRu3JhnnnmGN954Q+/5zpgxQ6/cBuDi4qILFPXu3RtPT0+cnZ1ZtmyZvk+ZMmWYPn06rVq14uDBgwQFBeHr64unpyddunTh+vXrgNQmb9q0KW5ubgwaNCjHz8nPz0/vDZYpU4apU6fi7u5O69atuZEiP5bbZ7ly5UoGDBhAz5496dy5c5bXb9OmDVevXtXbH3/8MV5eXri5ufH+++/r62fPnk3jxo3p1KkTgwcP1p+jn58fU6ZMwdfXl//+97+Z2rp37148PDzw8PCgWbNmPHjwgOvXr+Pj46NHA/bt2weYyrcuXLgQFxcXXFxc+OyzzwApQ9ukSRNGjRqFs7MznTt31rXoH6V37966zOvFixcpV64clStX1rf/8MMPuLq64uLiwqRJk/T1K1asoGHDhvj6+poo4WV2fxZFCFGoF09PT6FQ5ARfX1/h6+trbTPMxqlTp1Ib48cL4etr3mX8+GxtKF26dLp1gwcPFvv27RNCCBERESEaN24shBDi3r17IjExUQghxM6dO0Xfvn2FEEK89tprYs2aNeLhQyFu3XooYmNjRVhYmKhf31mcPp163tu3hYiOFuLBgwfC3d1dNGjQQIwZM0YEBAQIIYSIi4sTNWvWFOfOnRMGg0EMGDBAdO/eXQghxPvvvy8+/vhj/VzOzs4iLCws5by3hRBCxMbGCmdnZ3Hr1i0hhBCA+PHHH4UQQiQkJIg2bdqImzdvCiGEWLdunRgxYoQQQohq1aqJ+Ph4IYQQd+/eTfc89uzZo9uRFl9fX3H48GH9Wlu2bBFCCDFx4kQxe/bsx3qWK1asEDVq1NDv6VGMf6+kpCTRv39/8dtvvwkhhPj999/FqFGjhMFgEMnJyaJ79+5i79694vDhw8Ld3V3ExsaK+/fvi/r16+vP0dfXV4wZM0Y/d2a29ujRQ/z5559CCPm3S0xMFAsWLBBz5szRbbl//74QQghHR0cRGRkpjhw5IlxcXER0dLR48OCBaNq0qTh69KgICwsTtra2Ijg4WAghxIABA8Tq1avT3afx792nTx9x/PhxMWfOHLFy5Ur9mV+9elXUqlVL3Lx5UyQmJor27duLjRs3imvXrunrHz58KLy9vcW4ceOyvL8VK1bo+6TF5P9nCsARkQv/prLQFYqiQEoPJT+wa9cuk7Hd+/fv8+DBA+7du8ewYcM4f/48mqaRkJDI3buyJzh37lxCQ6/g7d2XXr0aAHK82jgvG9IWSylDUFAQ+/btY8+ePQwcOJB58+bh4eFBnTp1aNBAHv/iiy+a9KgzY9GiRWzcuBGAy5cvc/78eSpWrIitrS39+vUD4OzZs5w4cYJOnToBMqRerVo1QMqp+vv707t3b3r37v1Yz6xEiRJ6tMDT05OdO3fm6lkmJibq+3Tq1IkKmVSWiYuL0yVaPT099fvZsWMHO3bsoFmzZgBER0dz/vx5Hjx4wPPPP4+dnR1AOrnVgQMH6p8zs7Vt27a89dZb+Pv707dvX2rWrImXlxcjR44kMTGR3r174+HhYXLeP//8kz59+ug18vv27cu+ffvo1asXderU0ff39PTMUurZqFX/+++/s3v3blasWAHA4cOH8fPz03vk/v7+BAYGApisHzhwoC51m9n9WRLlwBWKFP7zn/9Y24QigcFg4ODBg/qPvpFx416nZcv2bNiwkUuXwmnXzo9//oEBA16gVatWbNr0KxMmdKFMma+pV68uNjaZF0yxtbXVkxJdXV1ZtWoVHh4euljJo6SVBYVUNbKAgAB27drFwYMHsbe3x8/PT99WqlQpXcBECIGzszMHDx5Md+5ff/2VwMBAtmzZwuzZszl58iTFiuXup7d48eK67WklVDN7lq+//jrt27dn48aNhIeHmyRnZiUMYxwDv3fvHj169OCLL77gjTfeQAjBe++9xyuvvGKyv1F+NTPSXiszWydPnkz37t3Ztm0brVu3ZteuXfj4+BAYGMivv/7KkCFDmDhxIkOHDtWPEVloeDwqN5tZCB3kC8fEiRNp0aIFTz31VI7On9l3KLP7syRqDFyhSGHs2LGMHTvW2mYUejp37sznn39OUpKcf334cAgAd+7cw9a2BrGxcqzW1haaNoVLly5St25d3n77DZ5/vhfHj4dStmzZTHs3Z8+e5fz583o7JCQER0dHGjduTFhYGP/88w8gxziNODk5cfToUQCOHj1KWFgYIGVNHRwcsLe358yZM/z1118ZXrNRo0ZERkbqDjwxMZGTJ09iMBi4fPky7du3Z/78+URFRREdHf2ETzAV47NMe69Gu2vUqAHIZ5lbypUrx6JFi1iwYAGJiYl06dKFb7/9Vrf96tWr3Lx5k2eeeYZffvmF+Ph4oqOj+fXXX3Nt6z///IOrqyuTJk2iRYsWnDlzhoiICKpUqcKoUaN46aWX9L+NER8fHzZt2kRsbCwxMTFs3LiRdu3a5fo+7ezs+Oijj5g6darJ+latWrF3715u3bpFcnIyP/zwA76+vrRq1UrXtE9MTOR///tftvdnSZQDVyhSiI2NJTY21tpmFCpiY2OpWbOmvsyZs5B58xZx5MgRmjVzw8urKV98sRSAyZPfZfny9+jSpa2e1W1vDz/99CMuLi54eHhw5swZhg4dSsWKFWnbti0uLi5MnDjR5JrR0dEMGzZMTxw7deoUM2bMoFSpUixbtozu3bvzzDPP4OjoqB/Tr18/7ty5g4eHB0uWLKFhSgm2rl27kpSUhJubG9OmTdP1wh+lRIkSrF+/nkmTJuHu7o6HhwcHDhwgOTmZF198EVdXV5o1a8abb76ZYRb17t27TZ5TRj35jFi0SD5LNzc3mjZtytKl8lm+++67vPfee7Rt2/axM+SbNWuGu7s769ato3Pnzrzwwgu0adMGV1dX+vfvz4MHD/Dy8qJXr164u7vTt29fWrRoQbly5XJl62effYaLiwvu7u7Y2dnx3HPPERAQoCe1bdiwIZ0UbfPmzRk+fDgtW7akVatWvPzyy3p4P7cMGjSI5s2bm6yrVq0aH374Ie3bt8fd3Z3mzZvz/PPPU61aNWbMmEGbNm3o2LGjyXGZ3Z8lUXKiCkUKSk7UvAgh513b2kolruRkWTylalWoWVNuj42VTtoamtcBAQEsWLCArVu35v3FCxHR0dGUKVOG2NhYfHx8WLZsWTqHqEiPOeRE1Ri4QqEwG/fvS0ft4CCd8uXLUk6zbFn0kLhx7rWmKdGPwsDo0aM5deoU8fHxDBs2TDnvPEQ5cIVC8djExEBcXKqsplG1y8FBths0MBX6yMP8nmxRlffMw/fff29tE4osyoErFIocEx8vw+JVqsge9J07EBkpp3AZRT/SJlibq9KZQqFIj0piUygUmZKYKB20MQ/qwQMZFjdKaz79NLi5pYp+lCwpQ+UKhcLyFLgeuKZpXYH/ArbA10KIeVY2SVFIGD58uLVNsDrJybKHXbq0dMbx8RARIcPg5crJ0Hi5cqlhcWuIfygUCkmBcuCaptkCXwCdgCvAYU3Ttggh8layR1EoKYoOXAiZeFa8uMwGT06GixdllvjTT0tH7uKSKgKSy/ojCoXCghS0EHpL4IIQ4qIQIgFYBzxvZZsUhYRbt27pQgmFmdhYSFtL5OJFuHlTfi5RQmaKV60q2zY2chz7caZ5hYeH4+LiYrLuUdGQvMDPz49GjRrh4eFBkyZNTMqnBgUF4erqSv369fWKY5YiMjKSVq1a0axZM/bt25epNKY1nhGYyl4uXbqU7777LlfHe3t7A/LvnlVi2/Xr1/WysAkJCYwYMQJXV1fc3d1NpnCm/bt5eHhwM+VLunjxYlxcXOjWrRsJCQmALK361ltv6cdGRkbStWvXXNlfECloDrwGcDlN+0rKOhM0TRutadoRTdOOREZG5plxioJN//796d+/v7XNMDsJCXLs2khEBFy5Ij9rGjRqZFpT3Frzss2BEMKkJKqRtWvXEhISwv79+5k0aZL+wz9mzBiWLVvG+fPnOX/+PNu3b7eYbbt376Zx48YEBwfTrl07s0pjmptXX33VpHRpTjhw4ACQvQNfuHAho0aNAmD58uUAHD9+nJ07d/L222+b/P2Mf7eQkBCqVKkCSJnV0NBQmjVrxu+//44QgtmzZzNt2jT9uMqVK1OtWrW8UQSzIgXNgWf0s5LulVkIsUwI0UII0SKtPJxCURSIiYEU3QVAOut//gGRIgPa8BW54OcHX36JvT3YPozNWDLUWIbz1q30254QPz8/JkyYgLe3Ny4uLhw6dAiQPdAhQ4bw7LPP0qBBA/1HHjKWtDRKSI4dO5bmzZtz+fLlDK8HsuhI6dKlsbW15fr169y/f582bdqgaRpDhw5l06ZNGR5j7CW6ubmxYcMGIHO5yYykP0NCQnj33XfZtm0bHh4exMXFmUhjzp07l0aNGtGxY0dd+hNkmdGuXbvi6elJu3btOHPmDCCHe9544w28vb2pW7cu69ev14+ZP3++3qOdPHlylufJjLRRAD8/P9588018fHxo0qQJhw8fpm/fvjRo0ID/+7//M7lvkLXN9+3bh4eHR4a10jds2KD3jk+dOkWHDh0AqFKlCuXLlycnhbcSExOJjY2lePHirF69mm7duuFgnLuYQu/evVm7dm225yrIFDQHfgVI01egJnDNSrYoFPkCgwGCgyFF34JPP5X+1Zg5Xq0apFQGBcDWBmzySQ87JiaGAwcO8OWXXzJy5Eh9fWhoKL/++isHDx5k1qxZXLt2jR07dnD+/HkOHTpESEgIQUFBukLU2bNnGTp0KMHBwSYlUo34+/vj5uZGo0aNmDZtGra2tly9epWaNWvq+9SsWdNE/9rI7NmzKVeuHMePHyc0NJRnn32Wa9euMWnSJP744w9CQkI4fPiw7vxjYmJo3bo1x44dw8fHh+XLl+Ph4cGsWbMYOHAgISEhJoIXQUFBrFu3juDgYH7++WcOHz6sbxs9ejSLFy8mKCiIBQsWmNTqv379On/++Sdbt27VHfVvv/3Gpk2b+Pvvvzl27BjvvvtutufJCSVKlCAwMJBXX32V559/ni+++IITJ06wcuVKbt++bbLvvHnzaNeuHSEhIbz55psm28LCwnBwcNAFR9zd3dm8eTNJSUmEhYURFBRk8gI2YsQIPDw8mD17tj688c4779C6dWsiIyNp27Ytq1atyvB+WrRooeuIF1YKWkrKYaCBpml1gKvAIOAF65qkUOQ9N27IUHfZsrBxI/TvDwcOQJs28OKL0Lp16tQu3VdkVSLW3j7r7ZUqZb09AzJTbUq7fvDgwYAUp7h//74+JmyUqLSzs6N9+/YcOnSIP//8M0NJy9q1a+Po6JhpnXKQodgWLVoQGRmJt7c3Xbt2zXC8OyObd+3axbp16/S2g4MDgYGBGcpN9u7dO1Ppz8zYt28fffr0wd7eHoBevXrp93fgwAEGDBig7/vQOH8P2cO0sbGhadOm3LhxQ7d1xIgR+rkqVKiQ7XlygtEmV1dXnJ2ddanUunXrcvnyZSpWrJij81y/fp20UdGRI0dy+vRpWrRogaOjI97e3rpS29q1a6lRowYPHjygX79+rF69mqFDhzJkyBCGDBkCwMyZM3njjTf47bff+O6776hVqxaffPIJNjY2VKlShWvXCnf/rkA5cCFEkqZprwG/I6eRfSuEOGllsxQKi5OYKJPPypWDs2ehcWNYsQKGD4dnn4VVq+RYNoCTk1xOn7aiwUDFihW5e/euybo7d+5Qp04dvf2owzS2M1qfmaRleHh4lhKZaalcuTLNmzfn77//pl27dlwxJgMAV65coXr16umOEUKksyerZLfMpD+zIqMXB4PBQPny5TNVtUorm2m0JyNbsztPTjBey8bGxuS6NjY2Obo/I3Z2drocK0gZ17Rhdm9vb12v3aimVrZsWV544QUOHTpkMi5/7do1Dh8+zPvvv0/Lli05ePAgU6dOZffu3XTq1In4+Pg8lfa0BgUthI4QYpsQoqEQop4QYq617VEUHsaMGcOYMWOsbYaO8XcuIUFO6ZqXUvGgYUNYsADatpVtBwcYOlRWQ8tPlClThmrVqrF7925AOu/t27fzzDPP6Pv8+OOPgMwiLleunK5ktXnzZuLj47l9+zYBAQF4eXllKmmZG2JjYwkODqZevXpUq1aNsmXL8tdffyGE4LvvvuP559NPanlUJvLu3buZyk0+Dj4+PmzcuJG4uDgePHjAL7/8AsBTTz1FnTp1dMlKIQTHjh3L8lydO3fm22+/1VX17ty581jneRKyknpt2LAh4eHhetsoBwqwc+dOihUrRtOmTUlKStLzAxITE9m6dWu6GQ3Tpk1j9uzZAMTFxaFpGjY2Nvq9nzt3Lt0xhY0C1QNXKCzJwIEDrXp9IVKzvzt3hjJl4Oef5dSu994DT0+5TdPg7betZ2du+O677xg3bhxvpxj8/vvvU69ePX27g4MD3t7e3L9/n2+//VZf37JlS7p3786lS5eYNm0a1atXp3r16pw+fZo2bdoA8gVhzZo12Oag9Ju/vz92dnY8fPiQ4cOH45nyMJcsWcLw4cOJi4vjueee47nnnkt37P/93/8xbtw4XFxcsLW15f3336dv37663KQQgm7dumXo/HNC8+bNGThwIB4eHjg6OproWq9du5YxY8YwZ84cEhMTGTRoEO7u7pmeq2vXroSEhNCiRQtKlChBt27d+OCDD3J9nifBzc2NYsWK4e7uzvDhw03GwUuXLk29evW4cOEC9evX5+bNm3Tp0gUbGxtq1KjB6tWrARni79KlC4mJiSQnJ9OxY0c9cx0gODgYQB9Oeemll3B1daVWrVp6cuOePXvo3r27Re4xv6DkRBWKFIzJM7XSzqnKI6ZPh+3bISURm8WLZfGU0aMf/5zWlhPNDj8/PxYsWECLFqbqiTNmzKBMmTK88847VrJMYUk2btxIUFAQc+bMseh1fHx82Lx5c7rs9PyCkhNVKMyIMTEmL/TAN2yA2bPhr79koZQGDSAqSmaSFysGr79ucRMUCqvQp0+fdJnr5iYyMpK33nor3zpvc6EcuEKRB4SGyjD44sVQt67MHq9eXU6vrlkThgyRS1EisxelGTNm5Kkdirzn5Zdftuj5K1euTO/evS16jfxAgUtiUygKAnfuyHHqP/+UbXt7mT1uTHru3Bm2bZPOW6FQKB4H5cAVCjNgMMA338Cvv8q2vb2c5mWcuVO/Ply4AD4+1rNRoVAULlQIXaF4TIKC4Pp16NFDFk1ZsADc3aF7dzmu/e+/qbKbCoVCYW6UA1coUng7m7lZ9+/LkqXG6b6zZ8ux7ZSiWwQEQIreAqCct0KhsCwqhK5QpNCzZ0969uxpsu6ff+T8bIC5c6FTJ+nIAT75BNKUraZq1YKr4mUJlJyoKUpOVKLkRM2HcuAKRQpnz57l5MmzJCbK9rp1cuz6+HHZHjUKdu8GY9XOevUghyWgFXmEkhM1D0pOtGCgHLhCkcKQIbPx8KjG5s2y3b49LFok1bxAOvN27SAHhb/yJxnJhX75pdwWq+RElZxoKkpOtGCgHLiiyJKQAB07wvz5sm1nd53KlQMwqlFWrSoLqihJecuh5ESVnKiSE318VBKbokgxb57sbM6aJZPMnn5aKnwBaFoyDRsuxMurl3WNtBRKTlTJiWZwnpyg5ETzJ8qBKwo1gYFyMUb6zp2DFPEjANassY5dRQElJ6rkRB9FyYmaFxVCVxQqIiPlsG1ysmzv3QsLF0KKAiXffAMpCpYKC6PkRHOGkhNVcqKPi+qBKwo8Z8+mhsL/+ANGjIBGjaBNG3jzTZg8GYoXl/tmNc0rbUKOwjwoOdHsUXKiSk70cVFyoooCh8EAcXFyOtfx4+DmJnvWI0fKnvY//8h1RX1OtpITVeRHlJyoxBxyoiqErihQJCSAk5Osggbg4gLLl4OxZkOZMrKc6eM4b+N8U4VCYTn69OmDk5OTRa9RVOREVQ9cke+ZMAHu3ZPiICCdt6cndOtm3uv4pcxtzgs98Lwgv/fAFYqijDl64GoMXJHv2LpVLkuXyvZTT5n2qNMUXFIoFIoii3LgCqtz7ZrMDB87FkqWlGPYu3ZBVBSULy/nbCsUCoXCFDUGrshzhJDJZymzRAgJgbfegoMHZXvcODh/XjpvhUKhUGSMcuCKPMFgSJ2LHRYms8SNZYo7dJC9bmN57WLFVAa5QqFQZIdy4AqLYzBA06Zg1HuoWxe+/x4GDZLtkiXlOmvzwQcf8MEHH1jbjEJDfpATnTJlionQSEREBHXr1s1QxtOcDB8+XBcYefnllzl16lSm+wYEBOhKXvB4Up4Zce3aNfr375/tfnn1nffz88tUqKR///5cvHgRkMV93NzccHZ21mu5g5Q7rVy5si4v+vXXXwOyDr6npyfu7u4cTAnjJSUl0bFjR72oC8CgQYM4f/68pW7PKigHrrAIs2aBv7/8bGMDL70khUOMDB4sxULyE97e3rqmsaJg8qic6LRp09i8eTOnT58GYPz48cyePfuxZDxzUzI0LV9//TVNmzbNdPujDvxxpDwzonr16iYqZZnxOA482Vjq0AycPHmS5ORk6taty+3bt5k4cSK7d+/m5MmT3LhxQ6/kB+hiMCEhIbz88ssAfPXVV8ybN4/169frL4dLlixhyJAhek14kNKx843KRYUE5cAVZuGvv2TVM+OsRFtb6biN7YkToU8f69mXEw4cOGDyQ1rYSKsOmpgo28Za8EY1UWOZ2Xv3ZPvnn2XbqCaaUuWTf/81hz2WlxO1s7Nj4cKFjB07lt9++40HDx7gb3yzzKEto0ePpnPnzgwdOpTk5GQmTpyo2/DVV18B8sXhtddeo2nTpnTv3t2kxGvanuf27dtp3rw57u7udOjQgfDwcJYuXcqnn36Kh4cH+/btM4lShISE0Lp1a9zc3OjTp49eW97Pz49JkybRsmVLGjZsmKHqVtoIyMqVK+nbty9du3alQYMGes928uTJxMXF4eHhoT+XNWvW0LJlSzw8PHjllVd0Z12mTBmmT59Oq1at+OCDD/jPf/6jXysgIICePXsC0lG2aNECZ2dn/W+UFWvXrtWr2F28eJGGDRvqgicdO3bU5Vszo3jx4sTFxenyolFRUfzyyy/pXoLatWvHrl27HvtFLD+istAVj0VsLGzfDp06QdmycOqUdA5vvgm1a8PUqda2MPdMmTIFKDzzwAsCRjnRwMBARo4cyYkTJwApJ/rXX38RExNDs2bN6N69OydOnNDlRIUQ9OrVi8DAQGrXrs3Zs2dZsWIFXxr1zdPQrVs3vvnmG4YOHcqff/6Za1uCgoL4888/sbOzY9myZZQrV47Dhw/z8OFD2rZtS+fOnQkODubs2bMcP36cGzdu0LRpUxN5VJDFRUaNGkVgYCB16tThzp07VKhQgVdffdWk8lzaHufQoUNZvHgxvr6+TJ8+nZkzZ/LZZ58BMiJw6NAhtm3bxsyZM9m1a1eWzzokJITg4GBKlixJo0aNeP3115k3bx6ff/65XsDo9OnT/Pjjj/UOwrgAACAASURBVOzfv5/ixYszduxY1q5dy9ChQ4mJicHFxYVZs2aRlJRE3bp1iYmJoXTp0vz4448MHDgQkNrmFSpUIDk5mQ4dOhAaGoqbm1umdu3fv19Xpatfvz5nzpwhPDycmjVrsmnTJhISEvR9N2zYQGBgIA0bNuTTTz+lVq1ajBs3jqFDh/Lw4UO++uorZs2axdSpU9OJutjY2FC/fn2OHTuml9It6CgHrsgx0dGQlCSzw4OCoF8/WLcOBg6EF16AF1+UEp2K/Ena95LixU3bj6qJlitn2n5UTfTpp7O/Xn6SEx03bhxxcXE0atQo030ys6VXr166qtWOHTsIDQ3VQ9P37t3j/PnzBAYGMnjwYGxtbalevTrPPvtsuvP/9ddf+Pj46GpsFSpUyNQW47mjoqJ0kZRhw4aZSIL27dsXkJKlaQVCMqNDhw66WEzTpk2JiIigVq1aJvvs3r2boKAgvLy8ACkSUqVKFUAqq/Xr1w+QKmJdu3bll19+oX///vz66696ePqnn35i2bJlJCUlcf36dU6dOpWlA08rMerg4MCSJUsYOHAgNjY2eHt762PjPXv2ZPDgwZQsWZKlS5cybNgw/vjjD2rXrq2/dF+4cIFr167RuHFjhgwZQkJCArNnz6Zhw4YAusSocuCKIoEQMiP83j2oXl0Kg0ybBm3bSuEQo+5CqVLWtVOR/8hPcqI2NjbY2GQ9YpiZLWnPLYRg8eLFdOnSxWTfbdu2ZfrCkvbY7PbJDUZZz5xKlqaVAc3sGCEEw4YN48MPP0y3rVSpUibCMQMHDuSLL76gQoUKeHl5UbZsWcLCwliwYAGHDx/GwcGB4cOHm8iHZsSjEqM9e/bUw/HLli3Tr5lWc3zUqFEmyYlGpk6dypw5c1i0aBH+/v44OTkxc+ZM1qZMeSlsEqNqDFyRKSNHwquvys/lyskSpkaxJhsbaN9eTvlSKDIiP8qJZkVmtqSlS5cuLFmyhMTEREBKVsbExODj48O6detITk7m+vXr7NmzJ92xbdq0Ye/evYSFhenPAzKX3yxXrhwODg76+Pbq1asfW7I0K4oXL67fT4cOHVi/fr3+XO/cuUNERESGx/n5+XH06FGWL1+uh8/v379P6dKlKVeuHDdu3OC3337L9vpNmjThwoULett47bt37/Lll1/qyWrXr1/X99myZUu6MqR79+6lRo0aNGjQgNjYWGxsbLC1tTXJRD937hzOzs7Z2lRQUD+/Cp3t22HPHvjoI9muWjVVhhNksRWFIjfkFznRnJCZLWl5+eWXCQ8Pp3nz5gghqFy5Mps2baJPnz788ccfuLq60rBhwwwdbeXKlVm2bBl9+/bFYDBQpUoVdu7cSc+ePenfvz+bN29m8eLFJsesWrWKV199ldjYWOrWrcsKoyCAGRk9ejRubm40b96ctWvXMmfOHDp37ozBYKB48eJ88cUXODo6pjvO1taWHj16sHLlSlatWgWAu7s7zZo1w9nZmbp169K2bdtsr9+9e3cCAgLomDJNZfz48bpe+fTp0/Xw96JFi9iyZQvFihWjQoUKrDRmZCIjB3PmzOGnn37S78nf35+kpCSWLFkCwI0bN7Czs6NatWqP/7DyGUrMpAhz/z5s2wYDBsis8Q8+kPXHT52Sql5FDWMij4eHh5UtMQ/5XcwkP8mJZmaLwvLExcXRvn179u/fb7aXsYz49NNPeeqpp3jppZcsdo3coOREFbkmOlpmkAP8/rucj21MzH3rLQgPL5rOG9ALRCgUirzDzs6OmTNncvXqVYtep3z58gwbNsyi18hrVA+8CBERAY0bw6JFMGqUdOTBwdCmjRzTLuoYp+F0TFtxpgCT33vgCkVRRsmJKrJECBg6FOrXh/ffl/Oz330XWraU2+3tZTa5QjJnzhyg8DhwhUJRuFEOvJCxezecOAHjx8vpX7a2qcIgmgYzZ1rXPoVCoVCYBxU4LeAkJUFgYGp7yxaYP1+WygRZHW36dKuYplAoFAoLohx4AcRgAKOWwPLl4OsLKVoNzJgh5TrTTv9SKBQKReFDOfACxpkzUKuWnP4Fspzpxo1gLG7l4KDKmSryD2WsOKVBCMEzzzxjUkzkp59+omvXrha/tpOTE7du3QLIVuFu5cqVXLt2TW9nJz+aU7Zs2cK8efOy3Cc8PJzvv//+ia+VEzL7LsTFxeHr66uLpkyaNAkXFxdcXFz04jogJVrr1KmjzxYxTvvcsGEDzs7OtGvXjtu3bwPwzz//MMioVwwkJCTg4+NTqIRMAPklL8yLp6enKMgkJQkxZYoQ330n2wkJQgweLMT+/da1qzBy5swZcebMGWubYTZOnTplbRNE6dKl8/R6iYmJJu3jx4+Lxo0bi7i4OBEdHS3q168vLly4YJZzZ4Wjo6OIjIzM0b6+vr7i8OHDj2XTk7Jnzx7RvXv3XB2TlJT0WNfK7Lvw+eefi88++0wIIcTWrVtFx44dRWJiooiOjhaenp7i3r17Qgghhg0bJv73v/+lO75Nmzbi/v37YtmyZWLRokVCCCEGDRokzp07Z7LfjBkzxJo1ax7LdkuQ0f9P4IjIhX9TPfB8yMWLco42yCS0nTuleAjI0Pj334OSrTY/jRo1ylLsoqCTX+REIyIi6NChA25ubnTo0IFLly7petBCCKKiorCxsSEwJbmjXbt2XLhwgZiYGEaOHImXlxfNmjVj8+bNgOzBDhgwgJ49e9K5c2eTa7m4uNCzZ08++ugjZs6cydChQ00qwRkpU6YMb7/9Ns2bN6dDhw5ERkamPDM/pkyZgq+vL//973+JjIykX79+eHl54eXlxf79+wG4ffs2nTt3plmzZrzyyiuINNNz0/Y858+fj6urK+7u7kyePJn169dz5MgR/P398fDwIC4uzkR+9IcffsDV1RUXFxeT2t9lypRh6tSpuLu707p1a27cuJHunlauXMlrr70GyN7rG2+8gbe3N3Xr1tXFWCZPnsy+ffvw8PDg008/zVQuNSAggPbt2/PCCy/g6urKpEmTTJTfZsyYwSeffEJ0dDQdOnSgefPmuLq66n+jrEgrJ3rq1Cl8fX0pVqwYpUuXxt3dne3bt2d5vI2NDQ8fPtTlRPft20e1atVo0KCByX69e/fWa6IXGnLj7QviUlB64FFRqZ8HDBCialXZ+xZC9roVlmfLli1iy5Yt1jbDbDz6hu/rK8SKFfJzQoJsr14t2zExsr1unWxHRcn2hg2yHRkp28bHc/16zmzIqNfVo0cPsXLlSiGEEN988414/vnnhRBCdOnSRZw4cUL88ssvokWLFmLOnDkiPj5eODk5CSGEeO+998TqFIPv3r0rGjRoIKKjo8WKFStEjRo1xO3btzO0ITo6WjRs2FC4uLiI+Pj4DPcB9N7ZzJkzxbhx44QQsnc8ZswYfb/BgweLffv2CSGEiIiIEI0bNxZCCPH666+LmTNnCiFkLxLQe+DGZ7Bt2zbRpk0bERMTI4QQur2P9sCN7atXr4patWqJmzdvisTERNG+fXuxceNG3V7jd3XixIli9uzZ6e5pxYoV+n0MGzZM9O/fXyQnJ4uTJ0+KevXqCSHS98C/+uor/Vzx8fHC09NTXLx4UezZs0fY29uLixcvCiGEOHr0qPDx8dGPa9KkiYiIiBCJiYl6jzkyMlLUq1dPGAwGk+eQlocPH4qqVavq7d9//114e3uLmJgYERkZKerUqSMWLFig30PDhg2Fq6urmDBhgv633LFjh2jevLno0aOHiIqKEp07dxZ37txJd62kpCRRqVKldOuthTl64GoaWT7g669h3Di4fBmqVJGiIXZ2svcNKiEtr/jkk08AdCWkwkZey4lmxsGDB/k5pWs/ZMgQ3n33XUD2tAMDAwkLC+O9995j+fLl+Pr66tKWO3bsYMuWLSxYsACQylKXLl0CoFOnTpnKc5YuXZqBAwdSpkwZE0WutNjY2OiCHC+++KIu1Qno60EW+0k7Pn3//n0ePHhAYGCgfk/du3fHwcEh3TV27drFiBEjsLe3B7KXEz18+DB+fn661Ka/vz+BgYH07t2bEiVK0KNHD0DKie7cuTPLc4HsgdrY2NC0adMMe+yQuVxqiRIlaNmypa4k16xZM27evMm1a9eIjIzEwcGB2rVrk5iYyJQpUwgMDMTGxoarV69y48YNns7kC3Pr1i3Kly+vtzt37szhw4fx9vamcuXKtGnThmIpikkffvghTz/9NAkJCYwePZqPPvqI6dOn06lTJzp16gTI2vHdunXj7NmzLFiwAAcHB/773/9ib2+Pra0tJUqU4MGDB5QtWzbb51UQUCF0KxAWBn37pobF27aFSZNS52s3aiSLrigURQGjxGa7du3Yt28fhw4dolu3bkRFRREQEICPjw8go4UbNmwgJCSEkJAQLl26pFeyMoecaEY2PXpug8HAwYMHdRuuXr2qOwNzy4kKkXmVzOLFi+vnehw50czOLYSUSzXeX1hYmD4s8egz7t+/P+vXr+fHH3/UE8bWrl1LZGQkQUFBhISEULVq1SzlRB+VEgUpCRoSEsLOnTsRQuih8GrVqqFpGiVLlmTEiBEcOnTI5LjY2FhWrVrF2LFjee+99/j222/x9PQ0CZs/fPiQUoVI+1g58DzAYIBdu+Dvv2W7fHk4ehRSOg80aQKzZkHKi7ZCUajx9vZm3bp1gPzBN8qLtmrVigMHDmBjY0OpUqXw8PDgq6++ol2K6HyXLl1YvHix7nyCg4PNZpPBYNB7nd9//72J5GlaOnfuzOeff663jZnQPj4+uqP47bff0umgG4/99ttvdXnL7OREW7Vqxd69e7l16xbJycn88MMPZpcTffTamcmlZsSgQYNYt24d69evp3///oDssVepUoXixYuzZ8+eTKVIjTg4OJCcnKw78eTkZD2TPDQ0lNDQUP0FwignKoRg06ZNuLi4mJxr/vz5jB8/nuLFixMXF4emadjY2OjP+/bt21SuXJnihSikqULoFkIImfhTubL8PHy4TDz76Sc51SssLLXHrVAUVmJjY6lZs6befuutt1i0aBEjR47k448/pnLlyrpEZsmSJalVqxatW7cGZI/cmMQFMG3aNCZMmICbmxtCCJycnPj/9s48yqrqysPfDxEKRIZYdoLMITgBRQlFcEQQQpCOimgsWZWlpWlpAy4xMZ2haWN1bDTEKInJAsRh4VBOSFBDjHEATDAkglIyKDJEiIhRJJ0IDZFp9x/nvOJSvhqt4r1X7m+tt959555z7t733PP2Peeeu/eCBQsaRc6jjjqKNWvWMGjQIDp06HDI60tJ7rjjDiZNmkRBQQH79u1j6NChzJo1ixtvvJHx48czcOBAzj77bLqnmUIbPXo0FRUVFBUV0apVK8aMGcPNN99MaWkpV199NW3atGHp0qWV+Tt37swtt9zC8OHDMTPGjBlTudirsSgoKKBly5YMGDCA0tJSJk+enDZcajr69u3Ljh076NKlS2WIzpKSEs477zyKioooLCzkxBNPrFWGUaNGsWTJEkaOHMnevXsrb9jat2/Pgw8+WDmFXlJSwrZt2zAzCgsLmTVrVmUdW7duZfny5ZSVlQFw/fXXc+qpp9KxY8dK+RctWsSYMWMafK6yEQ9m0kR87WshUMjq1cFQr1oVfJK3aXPYRXHqyLBhw4Cw4rY54MFM6k67du3YuXNnpsX4VLJixQpuv/12HnjggSY9zrhx47jllluy5k0TD2aSRbzwAvzoR+E1m7w8KC4OHtIOHAiL0eIgwslimvoPxHGcj3PKKacwfPhw9u/f32TxwPfs2cPYsWOzxng3Fm7AG8ju3fDkkzB0KBx3XDDU770XVpL36QPNdCFzs6Zbt26ZFsHJED76zixXXnllk9bfqlUrLrvssiY9RibwRWz1YP/+4OAC4J13YPx4mDs3/B45ElauDMbbyU0effTRap99Oo7jZBs+Aq8jBw7AyScHb1R33hmeZ7/8MgwaFPb7grTcZ+bMmcCh7/06juNkK27A60iLFvCNb0DSC2P0L+E4juM4hx034PXguusyLYHjOI7jBDLyDFzSrZLWSlopab6kjol935e0QdKbkr6cSB8kaVXcd4fq49LIcZyMsGXLFi644AL69OlD7969mTx5Mnv27Embd+vWrZUOQWoi5aWtIZSVlVW6Yq2a3qVLFwoLC+nTpw/jxo2rU0jPqqFAHedwkqlFbM8B/cysAFgHfB9A0snApUBfYDQwQ1LqvYKZwASgT/w0fVBfx/kUUV5eTs+ePWnRogU9e/b8xJGbzIxx48YxduxY1q9fz7p169i5cydTpkz5WN59+/Zx3HHHVXpDq4mnn376EP/ZjcU3v/lNKioqWL9+PcXFxZxzzjmVUcmqww24k0kyYsDN7FkzSznv/SOQctV0AfCImX1kZm8BG4AvSuoMtDezpTFiy/3A2MMuuNOsefzxx+tkQJoj5eXlTJgwgc2bN2NmbN68mQkTJnwiI75w4ULy8vK44oorgOCze/r06ZXuRKuGAd20aVOle8xdu3ZxySWXUFBQQHFxMUOGDKkMsdmzZ08++OADNm3axEknncRVV11F3759GTVqFLt37wbgrrvuYvDgwQwYMICLLrqo0p1mXSkuLmbUqFE89NBDAPzwhz9k8ODB9OvXjwkTJmBmaUOBpsvnOE1FNrxGdiXwm7jdBXg7sW9LTOsSt6ump0XSBEnLJS2v7Q7acVLk5+eTn5+faTEywpQpUz5m5Hbt2pV2tFxXUq5Jk7Rv357u3buzYcMGIEQmu++++1i4cOEh+WbMmEGnTp1YuXIlN9xwA6+kIv9UYf369UyaNIk1a9bQsWNH5s2bBwSvW8uWLeO1117jpJNO4p577qm3/AMHDmTt2rUAXHPNNSxbtozVq1eze/duFixYwMUXX0xRURHl5eVUVFTQpk2btPkcp6loMgMu6XlJq9N8LkjkmQLsA1K3+emea1sN6Wkxs9lmVmRmRcd6hBCnjsyZM4c5c+ZkWoyMkArLWdf0ulBd9K1kenVhQJcsWVIZ4apfv34UFBSkPUavXr0oLCwEQljNTZs2AbB69WrOOuss+vfvT3l5OWvWrGmQ/CkWLVrEkCFD6N+/PwsXLqy2vrrmc5zGoMlWoZvZyJr2S7oc+Aowwg72lC1A0h1WV2BrTO+aJt1xGo2U8S4tLc2oHJmge/fuaSNHpQvKUVf69u1bOSJO8eGHH/L222/Tu3dvXnnllWrDgNZ16jkZIvOII46onEIvLS3liSeeYMCAAcyZM6dB/u1XrFhBUVER//znP5k4cSLLly+nW7dulJWVpQ2RWdd8jtNYZGoV+mjgu8D5Zpact3sKuFRSa0m9CIvVXjazd4Edkk6Nq88vA5487II7TjNl6tSptG3b9pC0tm3bMnXq1AbXOWLECHbt2sX9998PhFCR119/PaWlpR87VlXOPPNMHnvsMQBef/11Vq1aVa9j79ixg86dO7N3794GPcefN28ezz77LOPHj680wvn5+ezcufOQdRLJcJw15XOcpiBTz8B/ARwNPCepQtIsADNbAzwGvA48A0wys/2xzDeAuwkL2zZy8Lm54zifkJKSEmbPnk2PHj2QRI8ePZg9ezYlJSUNrlMS8+fPZ+7cufTp04fjjz+evLw8br755lrLTpw4kW3btlFQUMC0adMoKCigQ4cOdT72TTfdxJAhQ/jSl75Up5CWANOnT698jezBBx9k4cKFHHvssXTs2JGrrrqK/v37M3bsWAYnPDilQoEWFhbSunXravM5TlPg4UQdJ+LhRLOH/fv3s3fvXvLy8ti4cSMjRoxg3bp1tGrVKtOiOU6j4OFEHcdpluzatYvhw4ezd+9ezIyZM2e68XacKrgBd5zI008/nWkRnMjRRx+Nz5w5Ts24AXecSG0Lq3KR6l7lchwnczTWo+tscOTiOFnBjBkzmDFjRqbFaDTy8vLYvn27ewNznCzCzNi+fTt5eXmfuC4fgTtOJPXa0sSJEzMsSePQtWtXtmzZUqs/b8dxDi95eXl07dq19oy14AbccZopRx55JL169cq0GI7jNBE+he44juM4OYgbcMdxHMfJQdyAO47jOE4O0uw9sUnaBlSN0pAPfJABcZoK1ye7aU76NCddwPXJdj5t+vQwszqH0Gz2BjwdkpbXx11dtuP6ZDfNSZ/mpAu4PtmO61MzPoXuOI7jODmIG3DHcRzHyUE+rQZ8dqYFaGRcn+ymOenTnHQB1yfbcX1q4FP5DNxxHMdxcp1P6wjccRzHcXIaN+CO4ziOk4M0SwMuaZOkVZIqJC2PaZ+R9Jyk9fG7UyL/9yVtkPSmpC9nTvKPI+mEqEfq86Gk6ySVSXonkT4mUSar9JF0r6T3Ja1OpNW7PSQNiu26QdIdylCczGr0uVXSWkkrJc2X1DGm95S0O9FOs3JEn3pfX1muz6MJXTZJqojpWd0+krpJWiTpDUlrJE2O6TnZf2rQJyf7Tw36HJ7+Y2bN7gNsAvKrpP0Y+F7c/h4wLW6fDLwGtAZ6ARuBIzKtQzV6HQH8FegBlAHfTpMn6/QBhgIDgdWfpD2Al4HTAAG/Ac7NIn1GAS3j9rSEPj2T+arUk8361Pv6ymZ9quy/DfhBLrQP0BkYGLePBtbFNsjJ/lODPjnZf2rQ57D0n2Y5Aq+GC4D74vZ9wNhE+iNm9pGZvQVsAL6YAfnqwghgo5lV9SyXJOv0MbPfAX+rklyv9pDUGWhvZkstXO33J8ocVtLpY2bPmtm++POPQI2xArNdnxrIyfZJEUc1lwAP11RHtuhjZu+a2atxewfwBtCFHO0/1emTq/2nhvapjkZtn+ZqwA14VtIrkibEtM+a2bsQTjrwLzG9C/B2ouwWam6ATHIph/7xXBOnnO5NTKHlij71bY8ucbtqejZyJeEOOkUvSSskvSjprJiWC/rU5/rKBX0AzgLeM7P1ibScaB9JPYFTgD/RDPpPFX2S5GT/SaNPk/ef5mrAzzCzgcC5wCRJQ2vIm+45Q9a9WyepFXA+MDcmzQR6A4XAu4RpQcgRfWqgOvlzQi9JU4B9QHlMehfobmanAN8CHpLUnuzXp77XV7brk2I8h94E50T7SGoHzAOuM7MPa8qaJi3r2qc6fXK1/6TR57D0n2ZpwM1sa/x+H5hPmEJ+L05TpKZf3o/ZtwDdEsW7AlsPn7R15lzgVTN7D8DM3jOz/WZ2ALiLg9PkuaJPfdtjC4dOq2WdXpIuB74ClMRpMOJU2fa4/QrhmdfxZLk+Dbi+slofAEktgXHAo6m0XGgfSUcSjEO5mf0yJuds/6lGn5ztP+n0OVz9p9kZcElHSTo6tU1YHLEaeAq4PGa7HHgybj8FXCqptaReQB/CYoJs45CRQ6rzRi4k6Ai5o0+92iNOE+6QdGp8jnlZokzGkTQa+C5wvpntSqQfK+mIuP15gj5/zgF96nV9Zbs+kZHAWjOrnKrM9vaJx74HeMPMbk/sysn+U50+udp/atDn8PSf2la55doH+Dxhld9rwBpgSkw/BngBWB+/P5MoM4VwZ/cmGVo5W4tObYHtQIdE2gPAKmBlvCg6Z6s+hBuPd4G9hDvNrzekPYCi2BE2Ar8gehLMEn02EJ5tVcTPrJj3ongdvga8CpyXI/rU+/rKZn1i+hzg6ip5s7p9gDMJU6krE9fWmFztPzXok5P9pwZ9Dkv/cVeqjuM4jpODNLspdMdxHMf5NOAG3HEcx3FyEDfgjuM4jpODuAF3HMdxnBzEDbjjOI7j5CBuwJ2sQ9IUhcg+KxUi+QyJ6YslFcXtpxUjFlUpWybp2/U83rmSlitEFFor6SeNo0njIGmOpF0p/wYx7WeSTFJ+A+v8Q+NJ2DAkPSlpaQaOO0zSgjTpbSWVK0SEWi1piaR2kqZLui6R77eS7k78vk3St/TxyFkVki6rRobH43vNja3bTySd09j1OtlJy0wL4DhJJJ1G8MY00Mw+igaqVdV8ZjbmY4Ubdrx+hHcu/9XM1kZvXRNqKZYJNhACITwoqQUwHHinoZWZ2emNJVhDiDdfA4GdknpZCOyQaSYT/KT3hxDKl/Au+R+ArwI/jec+H2ifKHc6kDLwG82ssKaDSOpLiED150aWH+DnBM9fC5ugbifL8BG4k210Bj4ws48AzOwDi65xkyjEdM6P21MUYus+D5yQyNNb0jMKQW1+L+nENMf7DjDVzNbG4+0zsxmx/HmS/qQQSOF5SZ+N6WUKAQoWS/qzpGtj+k2K8YDj76mSrlXg1jiqWyWpOO4fFut4PI78y6MXpnQ8DBTH7WHASwSf0aljPRH1XKMYwEdSD4V40fmSWsRzMCru25mQ4UVJj0laJ+lHkkokvRxl7R3zzZF0ceJ49SqfhouAXwGPEIL0pOqdoxAL+Q/x3F5c27mqci0USVoct78Y61kRv0+oKkQVOpO4KTKzN+N1+BLBSAP0JTjb2CGpk6TWwEnAilrqTlJCwsuWpJ2SpsX2ez7Knbq2zo95SmMb/0rSW5KuURj1r5D0R0mfiTJvBo6R9Ll6yOPkKofbc41//FPTB2hH8Ga0DpgBnJ3YtxgoitubCCOhQQSPR20Jo6INxDi8BA9VfeL2EGBhmuO9CgyoRpZOUOns6N+A2+J2GWFU1jrKsB04khC7+NWYpwXBo9IxBGP1HCGe+2eBvxCMxTDgHwS/xy2ApcCZaeSYA1xMCLPYiTDCOptE3HuiJy6gDcHAHJOQ+3HgP4A7E3XujN/DgL9HeVoTDNh/x32TgZ8mZWho+TQ6PU+IDHY8sLKKrnPj+TgZ2JA4TtpzVeU8FAGL43Z7DsaYHgnMS9S1II1MhQSf4kuB/yFeO4ljdAf+HbgauIngcesM4HcxT09gNwc9clUAZ6U5zotA/8RvI3rkIsRueJZwPQ0AKmJ6KeHaPho4Np6Lq+O+6YQgGqn67gIuynRf9k/Tf3wK3ckqzGynpEGEP/fhwKOSvmdmc6opchYw1jBCJgAAA/9JREFU36L/ZElPxe92hFHT3MSgtnU9xekaj9+ZMI2fnOb9tYXR2UeS3ieEd9wkabukUwiGeoWZbZd0JvCwme0nBKF4ERgMfEjwg7wlylxBMAJLqpHnl4TR6hCCIUlyraQL43Y3go/l7WZ2t6SvEoxOdVO7yyyGppS0kWBAINwYDa/pBDWkfJzJ+AKwxMxM0j5J/cws5S/6CQtBIF5PzXpE6nOuADoA90nqQzCSR9akhJlVKDyXHkUw+MsknWZmb3BwFH46cDsh1OPpBEOaXE9Q6xQ64WZnW+L3HuCZuL0K+MjM9kpaFXVMschCzOkdkv5BmMFIlSlI5HsfOK4WGZxmgBtwJ+uIhm4xsDj+iV1OGJlVWyRNWgvg73X4M11DGMW/lmbfz4HbzewpScMII+8UHyW293OwL91NGC19Drg3plU3LV5TPel4hDBjcJ+ZHUjdmETZRgKnmdmuOIWcF/e15WCUo3bAjlpkOJD4fSAhzz7iI7c4dZ1cl1CX8kmKCTMJb0Ud2hNuTP4rTX3Jc1fduaqUjah35CaC0btQIVbz4jSyHIKZ7STcKP1S0gHCKPsNgpE+HehPmOF4G7iecBN2b/raqmV3FTn3mlnqGq48f7GNk+evruc5Lx7Daeb4M3Anq5B0QhwxpSgENtdQ5HfAhZLaKKzSPg/AQkzet+LoEwUGpCl/K/Cfko6P+VpI+lbc14GDz0QvT1M2HfOB0YQR9m8TMhZLOkLSscBQGhAhzsz+QgiEMKPKrg7A/0bjfSJwamLfNEJs5R8QplYbyibCjQ6ExXQ1jmZrYTww2sx6mlnPWO+lNReps2wXJdKT7VdaWyWSzpDUKW63Ikzhp669lwiLK/9mIUzk34COwGmEKff68AZhBqKpOJ6D0a+cZowbcCfbaEeY9nxd0krCn2hZdZnN7FVCfOcKQkze3yd2lwBfl5SKTHdBmvIrCSuIH5b0BuGPLxUKsIwwBf974IO6CG9me4BFwGNxJgGCUV9JGOUvBL5jZn+tS31p6r/TzDZWSX4GaBnP102EZ+VIOptwIzHNzMqBPZKuaMhxic/dJb1MmML/v4ZUEkfC3VMyAlhYgf6h4uuCDeC/gZ/FdtqfSP8xcIuklwjrD2qjN/BinPVZASwnXFMQpqnzk3LHtH+YWfLa6K1DXyO7Ns1xfk14Dt/oKMSm/gJBdqeZ49HIHKcRUXjN6FXgq2a2PtPyONmHpDaEm7wzEjd5jVX3hYRXMG9ozHqd7MRH4I7TSEg6mbBS+AU33k51mNlu4EbCQrjGpiVwWxPU62QhPgJ3HMdxnBzER+CO4ziOk4O4AXccx3GcHMQNuOM4juPkIG7AHcdxHCcHcQPuOI7jODnI/wNGtUESL/VXlQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7,7), tight_layout=True)\n", + "\n", + "# Scatterplot of original data\n", + "ax.scatter(x, y, c='k', label='Original Data')\n", + "\n", + "# Plot the mean line, we only need two points to define a line, use xmin and xmax\n", + "ax.plot([x.min(), x.max()], [y.mean(), y.mean()] , '--m', label='Mean Y')\n", + "\n", + "# Plot the mean x line\n", + "plt.axvline(x.mean(),c='k', linestyle='--', label='Mean X Value')\n", + "\n", + "# Plot the linear regression model\n", + "ax.plot([x.min(), x.max()], [B0 + B1*x.min(), B0 + B1*x.max()], '-r', label='Least Squares Linear Regression Model')\n", + "\n", + "# Plot the upper and lower confidence limits for the standard error of the gradient (slope)\n", + "ax.plot([x.min(), x.max()], [B0_upper + B1_upper*x.min(), B0_upper + B1_upper*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "ax.plot([x.min(), x.max()], [B0_lower + B1_lower*x.min(), B0_lower + B1_lower*x.max()] , '--r', label='Upper B0 confidence limit (95%)')\n", + "\n", + "# Plot confidence limits on our predicted Y values\n", + "ax.plot(p_x, p_y_upper, ':b', label='Upper Y prediction interval (95%)')\n", + "ax.plot(p_x, p_y_lower, ':b', label='Lower Y prediction interval (95%)')\n", + "\n", + "# Add legend\n", + "plt.legend(loc='lower right');\n", + "\n", + "# Add axes labels and title\n", + "ax.set_xlabel('Slide Canyon Maximum Annual SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon Maximum Annual SWE (mm)')\n", + "ax.set_title('SWE Scatterplot');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/modules/lab4/lab4-3.ipynb b/modules/lab4/lab4-3.ipynb index 303d89f9..8ef7b233 100644 --- a/modules/lab4/lab4-3.ipynb +++ b/modules/lab4/lab4-3.ipynb @@ -33,12 +33,12 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# snow pillow (snow water equivalent) example data\n", - "data = pd.read_csv('../data/pillows_example.csv')\n", + "data = pd.read_csv('./data/pillows_example.csv')\n", "\n", "# Assigning my values to variables x and y for ease of use below\n", "x = data['SLI_max'].values\n", @@ -57,12 +57,12 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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CRCdJkh6kWc17GLgC+Czws8y8cmFCkiRJzTRL3lsBj6aofR8fEY+gmBb0HOCczDxjAeKTJEmTTJu8M/M+4Lzy9umI2BF4KfA24H3AigWJUJIkrafZOe/9KGrdE7dNKGrdn6K4dEySJHVAs2bzEymS9A+Bd2fm6IJEJEmSmmrWbH5A4/2I2BjYB/hDZt7Y7sAkSdLUph2kJSI+GxF7l8tbUQyX+iXg/Ih4+QLFJ2mRqNfr1Go1urq6qNVq1Ov1TockLVvNpgR9cmZeWi6/GrgyM/cFDgTe0fbIJC0a9XqdgYEBRkdHyUxGR0cZGBgwgUsd0ix5392w/Gzg2wAO0CItP4ODg4yPj69XNj4+zuDgYIcikpa3Zsn7loh4QUQ8hmJY1B8BRMRGwGYLEZykxWFsbGxW5ZLaq1ny/j/Am4D/BN7aUON+JvD9dgcmafHo6emZVbmk9mo2q9iVmfnczNw/M09sKP/vzDxuQaKTtCgMDQ3R3d29Xll3dzdDQ0Mdikha3prVvCUJgP7+foaHh+nt7SUi6O3tZXh4mP7+/k6HJi1LkZmdjmHO+vr6cmRkpNNhSJK0wSJiVWb2tbKuNW9Jkiqm2djmf99sw8z8+Ew7j4itgc9TjMyWwGuA3wL/BdSA1cDLMvN/y/XfBbwWuA94S2b+dwvHIEnSstKs5r3FDLdW/Dvwo8x8JMX0opcD7wROz8w9gdPL+0TEo4CjgL2B5wInRIQzl0mSNEmzsc3fuyE7jogtgacAx5T7uxu4OyIOA55WrnYScBbwj8BhwNcy8y7gmoi4GngsxUxmkiSp1GxWMQAiYiVFU/bewMqJ8sx8zQybPgxYC/xnRDwaWAUcC+yYmdeX+7g+Ih5arr8L8KuG7deUZZIkqUErHda+DPwV8Bzgp8CuwG0tbLcRcADwmcx8DPAXyibyacQUZQ/qCh8RAxExEhEja9eubSEMSZKWllaS919n5ruBv2TmScDfAPu2sN0aYE1m/rq8fypFMr8hInYCKP/e2LD+bg3b7wpcN3mnmTmcmX2Z2bfDDju0EIYkSUtLK8n7nvLvLRGxD7AVRU/xpsrhVK+NiEeURc8ELgNOA44uy44GvlMunwYcFRGbRsTuwJ7Ab1o5CEmSlpMZz3kDwxGxDfBuigS7OfAvLe7/zUA9IjYBfk8xtWgXcEpEvBYYA44AyMxLI+IUigR/L/DGzLxvNgcjSdJy4AhrkiQtArMZYa2V3uZT1rIz832zDUySJG24VprN/9KwvBJ4AcVgK5IkqQNmTN6Z+bHG+xHxUYpz35IkqQPmMjFJN8UALJIkqQNaOed9MQ8MlrIC2AHwfLckSR3SyjnvFzQs3wvckJn3tikeSZI0gxmbzTNzlGL0s3soat47R0RPuwOTJElTa6XZ/M3Ae4AbgHVlcQL7tTEuSZI0jVaazY8FHpGZN7c7GEmSNLNWeptfC/y53YFIkqTWtFLz/j1wVkR8H7hrojAzP962qCRJ0rRaSd5j5W2T8iZJkjqolRHW3rsQgUiSpNa00tv84cDbKebwvn/9zHxG+8KSJEnTaaXD2teB84F/Bv6h4SbNi3q9Tq1Wo6uri1qtRr1e73RIkrSotZK8783Mz2TmbzJz1cSt7ZFpWajX6wwMDDA6OkpmMjo6yite8Qq23357k7gkTaOV5P3diHhDROwUEdtO3NoemZaFwcFBxsfHH1R+8803MzAwYAKXpClEZjZfIeKaKYozMzs+s1hfX1+OjIx0OgxtgK6uLpp9Bnt7e1m9evXCBSRJHRIRqzKzr5V1W+ltvvsUT+AlY5oXPT09jI6OTvv42NjYAkYjSdXQ8nzeUXhGRHyeYtQ1aYMNDQ3R3d097eM9Pc6BI0mTzZi8I+LgiPh3YBQ4Dfg58Mh2B6blob+/n+HhYbbbbrsHPdbd3c3Q0FAHopKkxW3a5B0RQxFxFfAB4GLgMcDazDwpM/93oQLU0tff389NN93EySefTG9vLxFBb28vw8PD9Pf3dzo8SVp0pu2wFhFrgd8CnwS+l5l3RsTvF0NHtQl2WJMkLRWz6bDWrNn8r4Ah4IXA1RHxZWCziGhlPHRJktQm0ybizLwP+CHww4hYCbwA6Ab+EBGnZ+bfLlCMkiSpQUu16My8EzgVODUitgRe3NaoJEnStGbdBJ6ZtwIntSEWSZLUgpav85YkSYuDyVuSpIppZT7vFcDf8OD5vD/evrAkSdJ0Wjnn/V3gToqBWta1NxxJkjSTVprNd83MwzPzPZn53olb2yOTtEHq9Tq1Wo2uri5qtZrTq0pLSCvJ+4cRcUjbI5E0b+r1OgMDA4yOjpKZjI6OOj+6tIS0krx/BXwrIu6IiFsj4raIuLXdgUmau8HBQcbHx9crGx8fZ3BwsEMRSZpPrZzz/hjweODinG4gdEmLynTzoDs/urQ0tFLzvgq4xMQtVcd086A7P7q0NLSSvK8HzoqId0XE30/c2h2YpLkbGhqiu7t7vTLnR5eWjlaS9zXA6cAmwBYNN0mLVH9/P8PDw86PLi1R087nXQXO5y1JWipmM593KyOsnQk8KMNn5jPmEJskSdpArfQ2f3vD8krgJcC97QlHkiTNZMbknZmrJhX9IiJ+2qZ4JEnSDFppNt+24W4XcCDwV22LSJIkNdVKs/kqinPeQdFcfg3w2nYGJUmSptdKs/nuCxGIJElqjfN5S5JUMc7nLUlSxbSSvHfNzP3aHokkSWqJ83lLklQxrdS8J+bz7gLuoeh1npm5ZVsjkyRJU3I+b0mSKsb5vCVJqphWat4T83n/ELhrotBLxSRJ6oxWkvc15W2T8iZJkjqolRHW3rsQgUiSpNZMm7wj4pOZ+daI+C5Tz+f9wrZGJkmSptSs5v3l8u9HFyIQSZLUmmmTd8M83pdn5o2Nj0XEI9oalSRJmlYrl4r9PCJeNnEnIo4DvtW+kCRJUjOt9DZ/GjAcEUcAOwKXA49tZ1CSJGl6M9a8M/N64EcUo6zVgC9l5u1tjkuSJE2jlfm8f0IxUMs+wK7AFyPiZ5n59nYHJ0mSHqyVc97/NzNflZm3ZOYlwBOAP7c5LkmSNI1WBmn59qT79wLvb1dAkiSpuRlr3hHxuIg4NyJuj4i7I+K+iLDmLUlSh7TSbP5p4OUUs4ttBvwd8H/bGZQkSZpeK5eKkZlXR8SKzLwP+M+I+GWb45IkSdNoJXmPR8QmwAUR8WGKnucPaW9YkiRpOq00m78SWAG8CfgLsBvwknYGpWqo1+vUajW6urqo1WrU6/VOhyRJy0Irvc1Hy8U7AKcHFVAk7oGBAcbHxwEYHR1lYGAAgP7+/k6GJklLXmQ+aLbP4oGIi5ptmJn7tSWiWejr68uRkZFOh7Es1Wo1RkdHH1Te29vL6tWrFz4gSaq4iFiVmX2trNus5r2OYh7vrwDfpah5SwCMjY3NqlySNH+mPeedmftTXCK2OUUCHwL2Bv7Q0JSuZaqnp2dW5ZKk+dO0w1pmXpGZ78nMAyhq318C3rYgkWlRGxoaoru7e72y7u5uhoaGOhSRJC0fTZN3ROwSEcdFxNnAKygS92cWJDItav39/QwPD9Pb20tE0Nvby/DwMP39/fZClyrE72s1Neuw9lNgC+AU4FTgT42PZ+afptpuIdlhbfGZ3Asdihr5RGKXtHj4fV1cZtNhrVnyXk3RYY2GvwABZGY+bEOCnA8m78XHXuhSdfh9XVzmpbd5ZtbmLSItG/ZCl6rD72t1tTLCmtQye6FL1eH3tbpM3ppX9kKXqsPva3WZvDWvmvVCl7S4+H2trmk7rK23UsQKYEcazpFnZsdPithhTZK0VMzX8KgTO3sz8B7gBoohU6Hofd7xsc0lSVqOWpnP+1jgEZl5c7uDkSRJM2vlnPe1wJ/bHYgkSWpNKzXv3wNnRcT3gbsmCjPz422LSpIkTauVmvcY8BNgE4rhUiduLYmIFRFxfkR8r7y/bUT8JCKuKv9u07DuuyLi6oj4bUQ8Z3aHIknS8jBjzTsz3wsQEVsUd/P2WT7HscDlwJbl/XcCp2fmByPineX9f4yIRwFHUUw7ujPwPxHx8My8b5bPJ0nSkjZjzTsi9omI84FLgEsjYlVE7N3KziNiV+BvgM83FB8GnFQunwS8qKH8a5l5V2ZeA1wNPLalo5AkaRlppdl8GPj7zOzNzF7gOOBzLe7/k8A7eOASM4AdM/N6gPLvQ8vyXSg6x01YU5atJyIGImIkIkbWrl3bYhiSJC0drSTvh2TmmRN3MvMs4CEzbRQRLwBuzMxVLcYSU5Q9aASZzBzOzL7M7Nthhx1a3LUkSUtHS73NI+LdwJfL+68ArmlhuycCL4yI5wMrgS0j4mTghojYKTOvj4idgBvL9dcAuzVsvytwXSsHIUnSctJKzfs1wA7AN8vb9sCrZ9ooM9+VmbuWU4seBZyRma8ATgOOLlc7GvhOuXwacFREbBoRuwN7Ar+ZxbFIkrQstFLz3iUz3zKPz/lB4JSIeC3FZWhHAGTmpRFxCnAZcC/wRnuaS5L0YDNOTBIRZ1Nc4/2fwFcz85YFiKslTkwiSVoqZjMxyYzN5pn5JIrz3D3ASER8JSKevYExSpKkOWppPu/MvBL4Z+AfgacC/xERV0TE4e0MTpIkPVgrg7TsFxGfoBgl7RnAoZm5V7n8iTbHJ0mSJmmlw9qnKUZI+6fMvGOiMDOvi4h/bltkkiRpSq2Mbf6UJo99ebrHJElSe8yYvCPiicDxQG+5flBMUPKw9oYmSZKm0kqz+ReAtwGrAK+7liSpw1pJ3n/OzB+2PRJJktSSVpL3mRHxEYqhUe+aKMzM89oWlSRJmlYryfvg8m/jqC9JcamYJElaYK30Nn/6QgQiSZJa00rNm4j4G2Bviqk9AcjM97UrKEmSNL1WRlj7LHAk8GaKy8SOoLhsTJIkdUArY5s/ITNfBfxvZr4XeDywW3vDkiRJ02kleU8MiToeETsD9wC7ty8kSZLUTCvnvL8XEVsDHwHOo+hp/vl2BiVJkqbXSm/z95eL34iI7wErM/PP7Q1LkiRNZ9pm84h4RUS8srEsM+8CXhYRf9v2yCRJ0pSanfM+Dvj2FOVfKx+TKqder1Or1ejq6qJWq1Gv1zsdkiTNWrNm8xWZedvkwsy8LSI2bmNMUlvU63UGBgYYHx8HYHR0lIGBAQD6+/s7GZokzUqzmvfGEfGQyYURsQWwSftCktpjcHDw/sQ9YXx8nMHBwQ5FJElz0yx5fwE4NSJqEwXl8tfKx6RKGRsbm1W5JC1W0zabZ+ZHI+J24KcRsTnFJWJ/AT6YmZ9ZqACl+dLT08Po6OiU5ZJUJU0HacnMz2ZmL8VwqLtnZq+JW1U1NDREd3f3emXd3d0MDQ11KCJJmptWRlgjM2+fqvOaVCX9/f0MDw/T29tLRNDb28vw8LCd1SRVTmRmp2OYs76+vhwZGel0GJIkbbCIWJWZfa2s21LNW5IkLR6tTAnaHRHvjojPlff3jIgXtD80SRvCAWmkpauVmvd/AndRTAUKsAb417ZFJGmDTQxIMzo6SmbePyCNCVxaGlpJ3ntk5ocppgIlM+8Aoq1RSdogDkgjLW2tJO+7I2Iziuu8iYg9KGrikhYpB6SRlrZWkvd7gB8Bu0VEHTgdeEdbo5K0QaYbeMYBaaSlYcbknZk/AQ4HjgG+CvRl5lntDUvShnBAGmlpa6W3+VOAvYHbgFuBR5VlkhYpB6SRlrYZB2mJiO823F0JPBZYlZnPaGdgrXCQFknSUjGbQVqazecNQGYeOmnnuwEfnmNskiRpA81lhLU1wD7zHYgkSWrNjDXviPgU5WViFMl+f+DCNsYkSZKamDF5A40nle8FvpqZv2hTPJIkaQatnPM+aSECkSRJrZk2eUfExTzQXL7eQ0Bm5n5ti0qSJE2rWYe1FwCHTnGbKJfmhbNfSdLsTFvzzszRyWURsT1wc850cbjUoonZryYm0ZiY/QpwQBFJmsa0Ne+IeFxEnBUR34yIx0TEJcAlwA0R8dyFC1FLmbNfSdLsNeuw9mngn4CtgDOA52XmryLikRRjnP9oAeLTEufsV5I0e83OeW+UmT/OzK8Df8zMXwFk5hULE5qWA2e/kqTZa5a81zUs3zHpMc95V0AVOoI5+5UkzV6zZvNHR8StFJeGbVYuU95f2fbItEGq0hFsIpbBwUHGxsbo6elhaGhoUcUoSYvNjLOKLWbOKja9Wq3G6OiDLhigt7eX1atXL3xAkqSmZjOr2FwmJlGDxdo0bUcwSVq6TN4bYKJpenR0lMy8v2l6MSRwO4JJ0tJl8t4Ai/kaZTuCSdLSZfLeAIu5abq/v5/h4WF6e3uJCHp7exkeHrYjmCQtAXZY2wB2CpMkzRc7rC0Qm6YlSZ1g8t4ANk1LkjrBZnNJkhYBm80lSVrCTN6SJFWMyVuSpIoxeUuSVDEmb0mSKsbkLUlSxZi8JUmqGJO3JEkVY/KWJKliTN5Sh9TrdWq1Gl1dXdRqtUUxD7ykajB5z4L/bDVf6vU6AwMDjI6OkpmMjo4yMDDgZ0pSSxzbvEUT/2zHx8fvL+vu7nYiEs2J08lKmmw2Y5ubvFvkP1vNp66uLqb67kUE69at60BEkjrNiUnaYGxsbFblUjM9PT2zKpekRibvFvnPVvNpaGiI7u7u9cq6u7sZGhrqUESSqsTk3SL/2Wo+9ff3Mzw8TG9vLxFBb2+v/Scktcxz3rNQr9cZHBxkbGyMnp4ehoaG/GcrSZoXnvNuk/7+flavXs26detYvXq1iVvzxssQJc3GRp0OQFruJl+GOHHNN+APRElTsua9AawtaT4MDg6uN34AwPj4OIODgx2KSNJiZ817jqwtab54GaKk2bLmPUfWlqpnsbaUeBmipNkyec+RtaVqWcxjiXsZoqTZMnnPkbWlalnMLSVe8y1ptrzOe46cqKRaHEtc0mLndd4LwNpStdhSImkpMXlvAAdtqQ7PK0taSkzeWhZsKZG0lHjOW5KkRWBRnPOOiN0i4syIuDwiLo2IY8vybSPiJxFxVfl3m4Zt3hURV0fEbyPiOe2KTZKkKmtns/m9wHGZuRfwOOCNEfEo4J3A6Zm5J3B6eZ/ysaOAvYHnAidExIo2xidJUiW1LXln5vWZeV65fBtwObALcBhwUrnaScCLyuXDgK9l5l2ZeQ1wNfDYdsUnSVJVLUiHtYioAY8Bfg3smJnXQ5HggYeWq+0CXNuw2ZqybPK+BiJiJCJG1q5d29a4JUlajNqevCNic+AbwFsz89Zmq05R9qDedJk5nJl9mdm3ww47zFeYkiRVRluTd0RsTJG465n5zbL4hojYqXx8J+DGsnwNsFvD5rsC17UzPkkbZrFO9iItde3sbR7AF4DLM/PjDQ+dBhxdLh8NfKeh/KiI2DQidgf2BH7TrvgkbZjFPNmLtNS17TrviHgS8HPgYmBi8Oh/ojjvfQrQA4wBR2Tmn8ptBoHXUPRUf2tm/rDZc3idt9Q5tVqN0dHRB5X39vayevXqhQ9IqrjZXOftIC2S5sTJXqT5tSgGaZG0tDnZi9Q5Jm9Jc+JkL1LnmLwlzYmTvUid4zlvSZIWAc95S5K0hJm8JUmqGJO3JEkVY/KWJKliTN6SJFWMyVuSpIoxeUuSVDEmb0mSKsbkLUlSxZi8JUmqGJO3JEkVY/JWJdXrdWq1Gl1dXdRqNer1eqdDkqQFs1GnA5Bmq16vMzAwwPj4OACjo6MMDAwAOKOVpGXBmrcqZ3Bw8P7EPWF8fJzBwcEORSRJC8vkrcoZGxubVbkkLTUmb1VOT0/PrMolaakxeatyhoaG6O7uXq+su7uboaGhDkUkSQvL5K3K6e/vZ3h4mN7eXiKC3t5ehoeH7awmadmIzOx0DHPW19eXIyMjnQ5DkqQNFhGrMrOvlXWteUuSVDEmb0mSKsbkLUlSxZi8JUmqGJO3JEkVY/KWJKliTN6SJFWMyVuSpIoxeUuSVDEmb0mSKsbkLS1j9XqdWq1GV1cXtVqNer3e6ZAktWCjTgcgqTPq9ToDAwOMj48DMDo6ysDAAICTvEiLnDVvaZkaHBy8P3FPGB8fZ3BwsEMRSWqVyVtapsbGxmZVLmnxMHlLy1RPT8+syiUtHiZvaZkaGhqiu7t7vbLu7m6GhoY6FJGkVpm8m7Anrpay/v5+hoeH6e3tJSLo7e1leHjYzmpSBURmdjqGOevr68uRkZG27HtyT1woaiX+c5MktUNErMrMvlbWtebN1DVse+JKkharZV/znq6GPTlxT4gI1q1bt0HPKUnSZLOpeS/7QVqmq2FPx564kqrknnvuYc2aNdx5552dDkWllStXsuuuu7LxxhvPeR/LPnnP5ppWe+JKqpo1a9awxRZbUKvViIhOh7PsZSY333wza9asYffdd5/zfpb9Oe9Wa9L2xJVURXfeeSfbbbediXuRiAi22267DW4JWfbJe6prXSeLCFavXm3illRJJu7FZT7ej2WfvBuvdZ2O57klSYvJsk/eUCTw1atXc/LJJzvilCTNszVr1nDYYYex5557sscee3Dsscdy9913T7nuddddx0tf+tIZ9/n85z+fW265ZU7xHH/88Xz0ox+dsnyXXXZh//33Z8899+Twww/nsssum3F/J554Itddd92cYpkrk3cDR5yStNzN98iSmcnhhx/Oi170Iq666iquvPJKbr/99inHzLj33nvZeeedOfXUU2fc7w9+8AO23nrrDYptKm9729u44IILuOqqqzjyyCN5xjOewdq1a5tuY/JeBCZq4evWrfM8t6RlZWLci9HRUTLz/jneNySBn3HGGaxcuZJXv/rVAKxYsYJPfOITfPGLX2R8fJwTTzyRI444gkMPPZRDDjmE1atXs88++wDFZbsve9nL2G+//TjyyCM5+OCDmRjbo1arcdNNN7F69Wr22msvXve617H33ntzyCGHcMcddwDwuc99joMOOohHP/rRvOQlL2l6GfBUjjzySA455BC+8pWvAPC+972Pgw46iH322YeBgQEyk1NPPZWRkRH6+/vZf//9ueOOO6Zcb76ZvCVJQHvmeL/00ks58MAD1yvbcsst6enp4eqrrwbgnHPO4aSTTuKMM85Yb70TTjiBbbbZhosuuoh3v/vdrFq1asrnuOqqq3jjG9/IpZdeytZbb803vvENAA4//HDOPfdcLrzwQvbaay++8IUvzDr+Aw44gCuuuAKAN73pTZx77rlccskl3HHHHXzve9/jpS99KX19fdTrdS644AI222yzKdebbyZvSRLQnjneM3PK3tWN5c9+9rPZdtttH7TO2WefzVFHHQXAPvvsw3777Tflc+y+++7sv//+ABx44IGsXr0agEsuuYQnP/nJ7LvvvtTrdS699NI5xT/hzDPP5OCDD2bffffljDPOmHZ/ra63IUzekiSgPXO877333kwexvrWW2/l2muvZY899gDgIQ95yJTbttrcvOmmm96/vGLFCu69914AjjnmGD796U9z8cUX8573vGdO11aff/757LXXXtx555284Q1v4NRTT+Xiiy/mda973ZT7a3W9DWXyliQB7Znj/ZnPfCbj4+N86UtfAuC+++7juOOO45hjjplxjI0nPelJnHLKKQBcdtllXHzxxbN67ttuu42ddtqJe+65Z07n7b/xjW/w4x//mJe//OX3J+Dtt9+e22+/fb1OdVtssQW33XYbQNP15pPJW5IEtOeKm4jgW9/6Fl//+tfZc889efjDH87KlSv5wAc+MOO2b3jDG1i7di377bcfH/rQh9hvv/3YaqutWn7u97///Rx88ME8+9nP5pGPfGRL23ziE5+4/1Kxk08+mTPOOIMddtiBrbfemte97nXsu+++vOhFL+Kggw66f5tjjjmG17/+9ey///5suumm0643n5b9rGKStJRdfvnl7LXXXp0OY07uu+8+7rnnHlauXMnvfvc7nvnMZ3LllVeyySabdDq0DTbV++KsYpKkyhsfH+fpT38699xzD5nJZz7zmSWRuOeDyVuStChtscUWD+rspoLnvCVpiavy6dGlaD7eD5O3JC1hK1eu5OabbzaBLxIT83mvXLlyg/Zjs7kkLWG77rora9asmXF8bi2clStXsuuuu27QPkzekrSEbbzxxuy+++6dDkPzzGZzSZIqxuQtSVLFmLwlSaqYSo+wFhFrgdEpHtoeuGmBw2m3pXZMS+14wGOqCo+pGpbjMfVm5g6t7KjSyXs6ETHS6hBzVbHUjmmpHQ94TFXhMVWDx9SczeaSJFWMyVuSpIpZqsl7uNMBtMFSO6aldjzgMVWFx1QNHlMTS/KctyRJS9lSrXlLkrRkmbwlSaqYSibviFgdERdHxAURMVKWbRsRP4mIq8q/2zSs/66IuDoifhsRz+lc5FOLiEeUxzJxuzUi3hoRx0fEHxrKn9+wzaI7poj4YkTcGBGXNJTN+n2JiAPL9/fqiPiPiIiFPpaGWKY6po9ExBURcVFEfCsiti7LaxFxR8P79dmGbRb7Mc36s1aBY/qvhuNZHREXlOWL/n2KiN0i4syIuDwiLo2IY8vyyn6fmhxTZb9PTY6p/d+nzKzcDVgNbD+p7MPAO8vldwIfKpcfBVwIbArsDvwOWNHpY2hybCuAPwK9wPHA26dYZ1EeE/AU4ADgkg15X4DfAI8HAvgh8LxFdkyHABuVyx9qOKZa43qT9rPYj2nWn7XFfkyTHv8Y8C9VeZ+AnYADyuUtgCvL96Ky36cmx1TZ71OTY2r796mSNe9pHAacVC6fBLyoofxrmXlXZl4DXA08duHDa9kzgd9l5lQjx01YlMeUmT8D/jSpeFbvS0TsBGyZmedk8Yn+UsM2C26qY8rMH2fmveXdXwFN5/arwjE1Udn3aUJZg3kZ8NVm+1hMx5SZ12fmeeXybcDlwC5U+Ps03TFV+fvU5H2azry9T1VN3gn8OCJWRcRAWbZjZl4PxQsKPLQs3wW4tmHbNTR/cTvtKNb/J/Omsjnpiw1NZFU6ptm+L7uUy5PLF6vXUPxKnrB7RJwfET+NiCeXZVU5ptl81qpyTABPBm7IzKsayirzPkVEDXgM8GuWyPdp0jE1quz3aYpjauv3qarJ+4mZeQDwPOCNEfGUJutOdd5gUV4fFxGbAC8Evl4WfQbYA9gfuJ6i6Q8qdExNTHcMlTm2iBgE7gXqZdH1QE9mPgb4e+ArEbEl1Tim2X7WqnBME17O+j+IK/M+RcTmwDeAt2bmrc1WnaJsUb5P0x1Tlb9PUxxT279PlUzemXld+fdG4FsUTcY3lE0PE80qN5arrwF2a9h8V+C6hYt2Vp4HnJeZNwBk5g2ZeV9mrgM+xwNN41U6ptm+L2tYv9lsUR5bRBwNvADoL5u5KJvCbi6XV1Gcz3o4FTimOXzWFv0xAUTERsDhwH9NlFXlfYqIjSkSQj0zv1kWV/r7NM0xVfr7NNUxLcT3qXLJOyIeEhFbTCxTdHa4BDgNOLpc7WjgO+XyacBREbFpROwO7EnRMWAxWq+GMPElLb2Y4jihWsc0q/elbAq8LSIeV56rfFXDNotCRDwX+EfghZk53lC+Q0SsKJcfRnFMv6/IMc3qs1aFYyo9C7giM+9vkqzC+1Q+/xeAyzPz4w0PVfb7NN0xVfn71OSY2v99aqVH3WK6AQ+j6K13IXApMFiWbwecDlxV/t22YZtBil9tv6WDPWJnOK5u4GZgq4ayLwMXAxeVb/pOi/mYKH54XA/cQ/FL8rVzeV+AvvLD/jvg05QjAS6iY7qa4rzVBeXts+W6Lyk/kxcC5wGHVuiYZv1ZW+zHVJafCLx+0rqL/n0CnkTRbHpRw+fs+VX+PjU5psp+n5ocU9u/Tw6PKklSxVSu2VySpOXO5C1JUsWYvCVJqhiTtyRJFWPyliSpYkze6riIGIxiRp6LopiB5+Cy/KyI6CuXfxDlbEOTtj0+It4+y+d7XkSMRDET0BUR8dF5OZB5EhEnRsT4xHgGZdm/R0RGxPZz3Ocv5y/CuYmI70TEOR143qdFxPemKO+OiHoUMzldEhFnR8TmEfGJiHhrw3r/HRGfb7j/sYj4+3jwrFcXRMSrponh1PJa5fk+to9GxDPme79a/DbqdABa3iLi8RQjKx2QmXeVyWmTyetl5vMftPHcnm8fimso/yYzryhH4BqYYbNOuJpiEoOTI6ILeDrwh7nuLDOfMF+BzUX5w+sA4PaI2D2LSRk67ViKMc/3hWJqXorrxH8JHAF8snzttwe2bNjuCcBby+XfZeb+zZ4kIvammDnq9/MafeFTFCN4ndGGfWsRs+atTtsJuCkz7wLIzJuyHP62URTzMW9fLg9GMRfu/wCPaFhnj4j4URQT1vw8Ih45xfO9AxjKzCvK57s3M08otz80In4dxUQI/xMRO5blx0cxucBZEfH7iHhLWf7+KOfvLe8PRcRbovCRsjZ3cUQcWT7+tHIfp5Y1/no5mtJUvgocWS4/DfgFxbjPE8/17fI4L41ycp6I6I1inuftI6KrfA0OKR+7vSGGn0bEKRFxZUR8MCL6I+I3Zax7lOudGBEvbXi+WW0/hZcA3wW+RjH5zsR+T4xi7uJflq/tS2d6rSZ9Fvoi4qxy+bHlfs4v/z5ichCT7ETDD6LM/G35OfwFRYIG2Jti4IzbImKbiNgU2As4f4Z9N+qnYbSsiLg9Ij5Uvn//U8Y98dl6YbnOMeV7/N2IuCYi3hRFbf/8iPhVRGxbxjwKbBcRfzWLeLQUdGJUGm/eJm7A5hSjEl0JnAA8teGxs4C+cnk1RQ3oQIqRi7opakNXU86bSzHi1J7l8sHAGVM833nAo6eJZRu4f+CivwM+Vi4fT1Eb27SM4WZgY4r5hs8r1+miGBlpO4pE9ROKudl3BMYoEsXTgD9TjFvcBZwDPGmKOE4EXkoxPeI2FDWrp9Iwjz3lyFrAZhTJZbuGuE8F/gH4fw37vL38+zTgljKeTSmS13vLx44FPtkYw1y3n+KY/odidq+HAxdNOtavl6/Ho4CrG55nytdq0uvQB5xVLm/JA/NCPwv4RsO+vjdFTPtTjA1+DvCvlJ+dhufoAf4P8Hrg/RQjZz0R+Fm5Tg24gwdG1roAePIUz/NTYN+G+0k5shbF3Aw/pvg8PRq4oCw/huKzvQWwQ/lavL587BMUE2BM7O9zwEs6/V32trA3m83VUZl5e0QcSPGP/enAf0XEOzPzxGk2eTLwrSzHQI6I08q/m1PUlr7eUJnddJbh7Fo+/04UTfeNTbvfz6JWdldE3EgxNePqiLg5Ih5DkaTPz8ybI+JJwFcz8z6KiSR+ChwE3EoxjvGaMuYLKBLA2dPE802KWurBFEmk0Vsi4sXl8m4UYyTfnJmfj4gjKBLO/tPs99wsp5WMiN9RJA8ofhQ9ffqXZ27bly0Yfw2cnZkZEfdGxD6ZOTHe87ezmMDhsonWjtJsXiuArYCTImJPigS5cbODyMwLojgPfQhFsj83Ih6fmZfzQO37CcDHKaZnfAJFEm3sPzBjsznFD521DffvBn5ULl8M3JWZ90TExeUxTjgzizmib4uIP1O0XExss1/DejcCO88Qg5YYk7c6rkxyZwFnlf/AjqaokU27yRRlXcAtLfwjvZSi9n7hFI99Cvh4Zp4WEU+jqHFPuKth+T4e+O58nqKW9FfAF8uy6ZrCm+1nKl+jaCk4KTPXTfwoKWN7FvD4zBwvm41Xlo9188DsRJsDt80Qw7qG++sa4rmX8rRa2Vzd2A+hle0bHUnRgnBNeQxbUvwo+ecp9tf42k33Wt0fG+Vxl95PkfBeHMXcymdNEct6MvN2ih9J34yIdRS168spEvQTgH0pWjauBY6j+AH2xan3Nq07JsV5T2ZOfIbvf/3K97jx9Wv1dV5ZPoeWEc95q6Mi4hFlTWnC/sBok01+Brw4IjaLojf2oQBZzKF7TVnrJAqPnmL7jwD/FBEPL9frioi/Lx/bigfOgR49xbZT+RbwXIqa9X83xHhkRKyIiB2ApzCHWd8yc4xiEoMTJj20FfC/ZeJ+JPC4hsc+RDEf8r9QNKfO1WqKHzlQdJxrWoudwcuB52ZmLTNr5X6Par5Jy7G9pKG88f07ZqadRMQTI2KbcnkTimb7ic/eLyg6Uv4pi6kd/wRsDTyeopl9Ni6naHlol4fzwKxVWiZM3uq0zSmaOi+LiIso/oEeP93KmXkexdzMF1DMofvzhof7gddGxMSMc4dNsf1FFD2FvxoRl1P805uYvu94imb3nwM3tRJ8Zt4NnAmcUrYgQJHQL6Ko3Z8BvCMz/9jK/qbY///LzN9NKv4RsFH5er2f4tw4EfFUih8RH8rMOnB3RLx6Ls9LeZ49In5D0Wz/l7nspKwB90zECJBFT/Nbo7wkcA7eC/x7+T7d11D+YeDfIuIXFP0NZrIH8NOyted8YITiMwVF0/T2jXGXZX/OzMbPxh6x/qVib5nieb5Pcd593kUxl/RfU8SuZcRZxaQNEMWlROcBR2TmVZ2OR4tPRGxG8QPviQ0/8OZr3y+muMzy3fO5Xy1+1rylOYqIR1H0CD7dxK3pZOYdwHsoOr3Nt42Aj7Vhv1rkrHlLklQx1rwlSaoYk7ckSRVj8pYkqWJM3pIkVYzJW5Kkivn/C+gtzIK8DG8AAAAASUVORK5CYII=\n", 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" ] @@ -110,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -145,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -161,7 +161,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -192,7 +192,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -215,7 +215,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -250,12 +250,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -296,12 +296,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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zvSVJkmZ4J2NJktQ7JjiSJKl3THAkSVLvmOBIkqTeMcGRJEm9M8rLxCVp3iS5CbgLuBfYW1Xru41IUpdMcCT1yQ9V1Ve7DkJS9xyikiRJvWOCI6kvCrgyyVSSjfuuTLIxyZYkW3bt2tVBeJLmkwmOpL54alWdCJwKnJXkaYMrq+qCqlpfVetXrFjRTYSS5o0JjqReqKpb2n9vAy4FntxtRJK6ZIIjaeIleUSSw2ZeAz8MfLbbqCR1yauoJPXBUcClSaA5r727qj7YbUiSumSCI2niVdV24Pu6jkPS+HCISpIk9Y4JjiRJ6h0THPXa1I7dnH/1NqZ27O46FEnSPHIOjnprasduXnThZvbsnWbpkkVsOnMD61Yv6zosSdI8sAdHvbV5++3s2TvNdME9e6fZvP32rkOSJM0TExz11oa1y1m6ZBGLA4csWcSGtcu7DkmSNE8colJvrVu9jE1nbmDz9tvZsHa5w1OStICY4KjX1q1eZmIjSQuQQ1SSJKl3THAkSVLvmOBIkqTeMcGRJEm9Y4IjSZJ6xwRHkiT1jgmOJEnqHRMcSZLUOyY4kiSpd0xwJElS75jgSJKk3jHBmQBTO3Zz/tXbmNqxu+tQJEmaCD5sc8xN7djNiy7czJ690yxK+I3TnsALn7Kq67AkSRpr9uCMuc3bb2fP3mmmC/ZOF7/6/s/akyNJ0gOYc4KT5NgkVyfZmuS6JC9vyx+V5Kokn2//XTawzTlJtiW5Icmz5hpDn21Yu5xFybeWp6eLzdtv7zAiSZLG3zB6cPYCr6qq7wE2AGclOQE4G/hIVR0HfKRdpl13OvB44BTgrUkWDyGOXlq3ehm/cdoTWLIoLAKWHrKIDWuXdx2WNHaSLE7y6SSXdx2LpO7NeQ5OVd0K3Nq+vivJVuAY4DTgpLbaO4FrgNe25RdV1d3AF5JsA54MfGyusfTVC5+yiuMfcxibt9/OhrXLWbd62QNvJC08Lwe2Aod3HYik7g11knGSNcCTgI8DR7XJD1V1a5JHt9WOATYPbLazLdMBrFu9zMRG2o8kK4HnAOcCr+w4HEljYGgJTpJHAu8FXlFVd2Zg3si+VWcpq/3scyOwEWDVKq8cWgimduy2p0oPxZuA1wCH7a/CQjmfrDn7iq5DGBs3nfecrkNQh4ZyFVWSQ2iSm01V9b62+CtJjm7XHw3c1pbvBI4d2HwlcMts+62qC6pqfVWtX7FixTBC1RibuST+d668gRdduNmrxXRQkjwXuK2qpg5Uz/OJtLAM4yqqAH8EbK2q3x1YdRlwRvv6DOD9A+WnJzk0yWOB44BPzDUOTb7BS+Lv2Tvt1WI6WE8FnpfkJuAi4OlJ3tVtSJK6NowenKcCP0VzUrm2/Xk2cB7wzCSfB57ZLlNV1wEXA9cDHwTOqqp7hxCHJtyGtctZumQRiwOHLPFqMR2cqjqnqlZW1RqaKzQ/WlUv7jgsSR0bxlVUf8fs82oATt7PNufSTAaUvmXd6mVsOnODc3AkSXPmoxo0VrxaTHNRVdfQ3JJC0gLnoxokSVLvmOBIkqTeMcGRJEm9Y4IjSZJ6xwRHkiT1jgmOJEnqHRMcSZLUOyY4kiSpd0xwJElS75jgdGhqx27Ov3qbT82WJGnIfFRDR6Z27OZFF25mz95pli5ZxKYzN/iIAkmShsQenI5s3n47e/ZOM11wz95pNm+/veuQJEnqDROcjmxYu5ylSxaxOHDIkkVsWLu865AkSeoNh6g6sm71MjaduYHN22//VnJz/tXb2LB2uUNVkiTNkQlOh9atXsa61ct6Px9nasfubyVyfWqXJGl8meCMgdnm4/QlEeh78iZJGk/OwRkDfZ6P42RqSVIX7MEZA/vOx+lTD8dM8nbP3uneJW+SpPFlgjMmZubj9E2fkzdJ0vgywdHI9TV5kySNL+fgSJKk3jHBkTQnPlNN0jhyiErSQzYutwFI8jDgb4BDac5rl1TVr817IJLGhj04kh6yMboNwN3A06vq+4AnAqck2dBVMJK6Z4Ij6SEbl3s4VePr7eIh7U91EoykseAQlaSHbJxuA5BkMTAFPA44v6o+3lkwkjpngiNpTsblNgBVdS/wxCRHAJcmeUJVfXZmfZKNwEaAVatWdROk5tWas68YyX5vOu85I9mvhsshKkm9UlV3ANcAp+xTfkFVra+q9StWrOgiNEnzyARH0sRLsqLtuSHJtwHPAD7XaVCSOuUQlaQ+OBp4ZzsPZxFwcVVd3nFMkjpkgiNp4lXVZ4AndR2HpPHhEJUkSeodExxJktQ7Cy7B8bk5kiT134KagzMuz82RJEmjtaB6cMbouTmSJGmEOktwkpyS5IYk25KcPR/vOS7PzZEkSaPVyRBVe6+K84FnAjuBTya5rKquH+X7jtNzcyRJ0uh0NQfnycC2qtoOkOQi4DRgpAkOjM9zcyRJ0uh0NUR1DHDzwPLOtuw+kmxMsiXJll27ds1bcA+FV2dJkjQ+uurBySxldb+CqguACwDWr19/v/UHa2rH7pEOS3l1liRJ46WrBGcncOzA8krgllG80XwkH7NdnTUuCc6okztJksZRVwnOJ4HjkjwW+BJwOvDCUbzRfCQfM1dn3bN3eqyuzrJnSZK0UHWS4FTV3iQvAz4ELAbeXlXXjeK95iP5GNers8a5Z0mSpFHq7E7GVfUB4AOjfp/5Sj7G8eqsce1ZkiRp1BbEoxoGk4+FNCdlXHuWJEkatQWR4MyY1Dkpc0nKxrFnSZKkUVtQCc4kzkmZ1KRMkqQuLaiHbU7is6h8QKgkSQ/egurBmcQ5KU4UliTpwVtQCQ5M3pyUSUzKJEnq2oJLcCbRpCVlkiR1bUHNwZEkSQuDCY4kSeodExxJEy/JsUmuTrI1yXVJXt51TJK65RwcSX2wF3hVVX0qyWHAVJKrqur6rgOT1A17cCRNvKq6tao+1b6+C9gKHNNtVJK6ZA+OpF5JsgZ4EvDxfco3AhsBVq1addD7W3P2FUOMTtJ8sQdHIze1YzfnX72NqR27uw5FPZfkkcB7gVdU1Z2D66rqgqpaX1XrV6xY0U2AkuaNPTgaKZ+lpfmS5BCa5GZTVb2v63gkdcseHI2Uz9LSfEgS4I+ArVX1u13HI6l7JjgaqUl8wKkm0lOBnwKenuTa9ufZXQclqTsOUWmkfJaW5kNV/R2QruOQND5McDRyPktLkjTfHKKSxpBXnknS3NiDI40ZrzyTpLmzB0caM155JklzZ4IjjRmvPJOkuXOIShozXnkmSXNngtNjUzt2+5/khPLKM0maGxOcnnKiqiRpIetdgjPYawEs2B6M2SaqzvUY2CMkSZoUvUpwBnstliwKJOy9d2H2YMxMVL1n7/RQJqraIyRJmiS9SnDu02txb1EUMLwejEky7Imqo+gRkiRpVHqV4Mz0Wuy5Z5rpgfLFixfmpbbDnKg67B4hSZJGqVcJzkyvxZs+/M/8/bavMl3N0/desG6lvQ1z5KXLkqRJ0rsb/a1bvYxXPOO7vnWjtEMPWcR/OXFl12H1wrrVyzjrhx4H4HOSJEljrVc9ODPsbRgdJxtLkiZBLxMc8EZpo+JkY0nSJOjdEJVGy+ckSZImQW97cDQaDv9JkiaBCY4eNIf/JEnjbk5DVEl+K8nnknwmyaVJjhhYd06SbUluSPKsgfJ1Sf6pXffmJJlLDGom/npVkyRJ/26uc3CuAp5QVd8L/DNwDkCSE4DTgccDpwBvTbK43eZtwEbguPbnlDnGsKDNXNX0O1fewIsu3GySI0kSc0xwqurKqtrbLm4GZm44cxpwUVXdXVVfALYBT05yNHB4VX2sqgr4E+D5c4lhoZvtqiZJkha6YV5F9XPAX7WvjwFuHli3sy07pn29b/mskmxMsiXJll27dg0x1P7wqiZJku7vAScZJ/kw8JhZVr2uqt7f1nkdsBfYNLPZLPXrAOWzqqoLgAsA1q9fv996C5lXNUmQ5O3Ac4HbquoJXccjqXsPmOBU1TMOtD7JGTQnlpPbYSdoemaOHai2ErilLV85S7nmwKuaJP4YeAvNsLckzfkqqlOA1wLPq6p/HVh1GXB6kkOTPJZmMvEnqupW4K4kG9qrp34aeP9cYpCkqvob4GtdxyFpfMz1PjhvAQ4Frmqv9t5cVS+tquuSXAxcTzN0dVZV3dtu899pvm19G82cnb+6314laciSbKS5gpNVq1Z1HI0m2ZqzrxjJfm867zkj2e+ojOo4wHCOxZwSnKp63AHWnQucO0v5FsAxcknzyjl90sLis6gkSVLvmOBIkqTeMcGRNPGSvAf4GHB8kp1JXtJ1TJK65cM2Nbamduz2/j46KFX1k13HIGm8mOBoLM08Y2vP3mmWLlnEpjM3mORIkg6aQ1QaSz5jS5I0FyY4Gks+Y0uSNBcOUWks+YwtSdJcmOBobPmMLUnSQ+UQlSRJ6h0THEmS1DsmOJIkqXdMcCRJUu+Y4EiSpN4xwZEkSb1jgiNJknrHBEeSJPWOCY46MbVjN+dfvY2pHbu7DkWS1EPeyVjzzieFS5JGzR4czTufFC5JGjUTHM07nxQuSRo1h6g073xSuCRp1Exw1AmfFC5JGiWHqCRJUu+Y4EiSpN4xwZEkSb1jgiNJknrHBEfSxEtySpIbkmxLcnbX8UjqngmOpImWZDFwPnAqcALwk0lO6DYqSV0zwZE06Z4MbKuq7VW1B7gIOK3jmCR1bGLugzM1NfXVJDvaxSOBr3YZzzyyrf2zUNoJs7d19ZDf4xjg5oHlncBT9q2UZCOwsV38epIbhhzHXE3674Xxz1He8JA37Tz2Obpf/A/yWMx6TpmYBKeqVsy8TrKlqtZ3Gc98sa39s1DaCfPW1sxSVvcrqLoAuGDEsTxkk/57YfzdmeTYYXTxO0QladLtBI4dWF4J3NJRLJLGhAmOpEn3SeC4JI9NshQ4Hbis45gkdWxihqj2MbbdzCNgW/tnobQT5qGtVbU3ycuADwGLgbdX1XWjft8RmPTfC+PvziTHDiOKP1X3G6qWJEmaaA5RSZKk3jHBkSRJvTOWCU6Sm5L8U5Jrk2xpyx6V5Kokn2//XTZQ/5z2Fu03JHlWd5E/sCRvT3Jbks8OlD3otiVZ1x6jbUnenGS2S2U7tZ+2vj7Jl9rP9tokzx5YN5FtTXJskquTbE1yXZKXt+W9+1wP0Nbefa6jlOS3knwuyWeSXJrkiIF1E3W8JuExGcP8G+1KksVJPp3k8nZ5kmI/Iskl7e/81iTfPy/xV9XY/QA3AUfuU/ZG4Oz29dnAG9rXJwD/CBwKPBa4EVjcdRsO0LanAScCn51L24BPAN9Pcw+QvwJO7bptB9nW1wOvnqXuxLYVOBo4sX19GPDPbXt697keoK29+1xHfBx/GFjSvn7DpP5u0EzqvhFYCyxtYz+h67hmiXNof6MdtuGVwLuBy9vlSYr9ncCZ7eulwBHzEf9Y9uDsx2k0B4n23+cPlF9UVXdX1ReAbTS3bh9LVfU3wNf2KX5QbUtyNHB4VX2smt+IPxnYZmzsp637M7Ftrapbq+pT7eu7gK00d9ft3ed6gLbuz8S2dZSq6sqq2tsubqa5dw9M3vGaiMdkDOtvdF6DHpBkJfAc4MKB4kmJ/XCaL7t/BFBVe6rqDuYh/nFNcAq4MslUmturAxxVVbdC88sKPLotn+027Qc64Y6jB9u2Y9rX+5ZPipe1XfNvH+iW7EVbk6wBngR8nJ5/rvu0FXr8uY7Yz9H0yMDkHa+JO//O8W+0K28CXgNMD5RNSuxrgV3AO9ohtguTPIJ5iH9cE5ynVtWJNE8HPivJ0w5Q96Bu0z6h9te2SW7z24DvBJ4I3Ar8Tls+8W1N8kjgvcArqurOA1WdpWzS29rbz/WhSvLhJJ+d5ee0gTqvA/YCm2aKZtnVOB+vcY1rVkP4G513SZ4L3FZVUwe7ySxlXX4mS2imKrytqp4EfINmSGp/hhb/WN7or6puaf+9LcmlNN1TX0lydFXd2nbX3tZW78Nt2h9s23by713ag+Vjr6q+MvM6yR8Cl7eLE93WJIfQnDg3VdX72uJefq6ztbWvn+tcVNUzDrQ+yRnAc4GT22EnmLzjNTHn3yH9jXbhqcDz2on7DwMOT/IuJiN2aOLZWVUzPb2X0CQ4I49/7HpwkjwiyWEzr2km432W5tbrZ7TVzgDe376+DDg9yaFJHgscRzMZb5I8qLa13Xl3JdnQXknx0wPbjLX2F3nGj9J8tjDBbW3j+iNga1X97sCq3n2u+2trHz/XUUpyCvBa4HlV9a8DqybteE3EYzKG9Tc6X/EOqqpzqmplVa2hOb4fraoXMwGxA1TVl4GbkxzfFp0MXM98xP9QZiaP8odmvO4f25/rgNe15cuBjwCfb/991MA2r6OZaX0DY3BlwQO07z00Xfj30GSqL3kobQPW0/wnciPwFtq7Uo/Tz37a+qfAPwGfaX+Rj570tgI/QNOF+hng2vbn2X38XA/Q1t59riM+jtto5hnMHMM/mNTj1X7+/9zG9bqu49lPjEP7G+24HSfx71dRTUzsNEPXW9rj/xfAsvmI30c1SJKk3hm7ISpJkqS5MsGRJEm9Y4IjSZJ6xwRHkiT1jgmOJEnqHRMcSZLUOyY4kiSpd/4/fKZOsmB9w5cAAAAASUVORK5CYII=\n", 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" ] @@ -337,15 +337,24 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "26\n" + ] + } + ], "source": [ "# our alpha for 95% confidence\n", "alpha = 0.05\n", "\n", "# length of the dataset\n", "n = len(x)\n", + "print(n)\n", "# degrees of freedom\n", "dof = n - 2" ] @@ -361,7 +370,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -378,7 +387,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -395,7 +404,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -417,12 +426,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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" ] @@ -474,7 +483,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -527,7 +536,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -747,8 +756,8 @@ "alpha = 0.05\n", "\n", "# compute our degrees of freedom with the length of the predicted dataset\n", - "n = len(p_x)\n", - "dof = n - 2\n", + "n_p = len(p_x)\n", + "dof = n_p - 2\n", "\n", "# get the t-value for our alpha and degrees of freedom\n", "t = stats.t.ppf(1-alpha/2, dof)\n", @@ -825,7 +834,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -839,7 +848,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/lab5/.ipynb_checkpoints/lab5-1-checkpoint.ipynb b/modules/lab5/.ipynb_checkpoints/lab5-1-checkpoint.ipynb new file mode 100644 index 00000000..264378b2 --- /dev/null +++ b/modules/lab5/.ipynb_checkpoints/lab5-1-checkpoint.ipynb @@ -0,0 +1,1168 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Lab 5-1: Multiple Linear Regression\n", + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are going to try and improve upon our simple linear regression model from Lab 4-1 with the snow water equivalent (SWE) data (if you're interested, [read about SWE and snow pillows here](https://www.nrcs.usda.gov/wps/portal/nrcs/detail/null/?cid=nrcseprd1314833)). In Lab 4-1 we used SWE observations from Slide Canyon to predict SWE at Blue Canyon. In this lab we will use two explanatory variables, SWE at Slide Canyon and time, to try and predict SWE at Blue Canyon. We can also compare both of these to the quantile regression model from Lab 4-2." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import scipy.stats as stats\n", + "from scipy.linalg import lstsq # for the multiple linear regression, we'll use the scipy linear algebra least-squares function\n", + "from scipy.interpolate import interp1d # for quantile regression, we'll want this 1d interpolation function\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Load the csv file with snow water equivalent (SWE) measurements from two sites in California's Sierra Nevada. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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yearsBLC_maxSLI_max
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" + ], + "text/plain": [ + " years BLC_max SLI_max\n", + "0 1983 688 2446\n", + "1 1984 112 1471\n", + "2 1985 216 1143\n", + "3 1986 150 1085\n", + "4 1987 94 569" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Read in a .csv file\n", + "data = pd.read_csv('../data/pillows_example.csv')\n", + "data.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These data are annual maximum SWE values (mm) for the Blue Canyon (BLC), and Slide Canyon (SLI) measurement sites." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the original SWE data for both sites." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,5))\n", + "\n", + "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", + "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", + "\n", + "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", + "ax.set_xlabel('Water Year', fontsize=12)\n", + "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", + "plt.legend(loc=(0.2,-0.36), fontsize=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**What does the above plot show?** What you see above is a plot of the maximum value of snow water equivalent (SWE) measured at two snow pillows (these weigh the snow and convert that weight into the water content of the snow). These measurements of snow are not too far from each other geographically (both in the Sierra Nevada, California, although Slide Canyon is at a higher elevation and further south), and we might expect that more snow at one site woud correspond to more snow at the other site as well. We can check this by examining a regression between the data at the two sites." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "## **Simple Linear Regression**\n", + "\n", + "We'll start off by replicating our simple linear regression model from Lab 4-1. The first step to any regression or correlation analysis is to create a scatter plot of the data." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4,4))\n", + "\n", + "# Scatterplot\n", + "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax);\n", + "\n", + "ax.set_xlabel('Slide Canyon max SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon max SWE (mm)');\n", + "\n", + "ax.set_xlim((0,3000))\n", + "ax.set_ylim((0,1000));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Linear regression**: Could we use SWE measurements at Slide Canyon to predict SWE at Blue Canyon?\n", + "\n", + "The plot above suggests that this is a borderline case for applying linear regression analysis. What rules of linear regression might we worry about here? ([*heteroscedasticity*](https://en.wikipedia.org/wiki/Heteroscedasticity))\n", + "\n", + "We will proceed with calculating the regression and then look at the residuals to get a better idea of whether this is the best approach." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we're using the [`scipy.stats.linregress()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html) function to create a least-squares linear regression model." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# use the linear regression function\n", + "B1, B0, rvalue, pvalue, sB1 = stats.linregress(data.SLI_max, data.BLC_max)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the result." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zn8Hq1aHbwPjx0KdP4WNxm8mmo+Y34uIGf5O0QtKnklYUIjhXnhKxtJQZPP447LsvXHYZjBoV7tZdcYUnpwTJZrqVG4F/Bt6ycu005QquurqakSNHFmdpqfRuA4MHh+dRowp3fpe1bBLUh8AsT04u1yorKwubmJYvh5/8BG65JUwYd+ON8B//4XfmEiybBDUOeFrSi0BzaqeZXZ+3qJzLpXXr4M47Q1WusTHcobviCthps6nOXMJkk6B+BqwEehN6kjtXOl5+Gc4/P8wycMQR8PTTMHRosaNyWcomQe1gZsflPRLncmnRorBk+H33wS67hOfvfMcH9JaYbPpBPSfJE5QrDc3NcNVVoZPlQw+Fat2cOXDaaZ6cSlA2JahzgXGSmoHVhBWHzcz65jUy59rDDJ58Moyde/ddGD06LFLwxS8WOzLXCdl01Ny2EIE412HvvBO6Dfz+97DPPuH5OC/0l4OsBgs7l0jLl4dlnfbfH155BW64AWbO9ORURnxdPFd61q2Du+6CCRNCt4GamjBUxbsNlB1PUF1EY2NjcXpt59orr4RuA9OmwYgR3m2gzGVVxZPUXdIukvqnHvkOzOVOoudeytaiRXDGGaEv06JFodvAlCmenMpcNuvijQV+DCwB1sXdZmYH5Dm2TvE5yYPGxkaqqqpoampav6+iooIFCxaURkmquTkMSbniCmhpCW1Ol13mA3oTrKDr4gEXAHub2b5mtn98JDo5uQ1am3upW7duvPHGG0WKKEupbgP77RemPzn2WJg9O6yokpDklPgpi8tANgnqQ3yZqZLV2txL//jHPxg9enRyq3pz5sCJJ8JJJ8FWW8Gzz8Jjj8GeexY7svXKotpcArKp4k0C9gaeooQGC3sVb4Pa2tr1U+ymS1xVb/ly+M//DPOAb701TJwI552XuNkGSr7anGeFruJ9AEwmDBTeNu3hSkR1dTWPPvoo22yz8VTyRZ9mNyU128Bee4XZLceMgblzQ6/whCUnSOiUxWUqm57kPwGQtG14aSvzHpXLuYMPPph169ZttK9o0+yme/XV0G1g6tTQbeCpp2BYTv7zzZtETVlc5rKZ8nc/SW8As4DZkqZL2jf/oblcSsQ0u+kWLw4lpREjYOFCuPfe0G0g4ckJEngty5mZZXwALwPHpL0+Gnh5S5/L4nu7A28AT8bXOxCqkvPi8/Zpx04A5gNzgOOz+f6hQ4ea29zSpUutrq7Oli5dWpwAVq0y+/nPzfr0MevZ02z8eLMVK4oTSycV/VomFDDNOpkfUo9sepJvY2Z/SktoL0jKxbp4FwD1QGpWhPHA82Z2laTx8fWlkoYApwL7ArsQpn/Zy8zW5iCGLqfg0+yme+qpMKh3/vxwh+766xN1Z669inotu4hsGsnfk/RDSQPi4wfA+505qaTdgK8Dv0nbPRq4O27fDZyctv9BM2s2s/cJJanhnTm/K7BUt4FvfAO6d4dnngkrqpRwcnKFkU2C+i5QCTwSHzsCZ3XyvDcS5jpPb7Xd2cwWA8Tn1MjPXQl9sVIWxn2bkXSOpGmSpnnnuQRYsQK+//3Q2XLKlDA/08yZcMIJxY7MlYhsqni7mtn5uTqhpG8AS81suqSjs/lIK/ta7bxlZrcDt0PoB9XRGF0nrVsH99wTeoAvXQpnnRV6gO+8c7EjcyUmmwT135J6AncCtWa2rJPnPBL4J0knEhZi6CvpPmCJpH5mtlhSP2BpPH4hYbn1lN2ARZ2MweXLa6+FbgN1dXD44fDEE3DoocWOypWoLVbxzOwo4HSgPzBN0gOSOrzKoZlNMLPdzGwAofH7j2Z2OvA4MCYeNgZ4LG4/DpwqqZekgcAgoK6j53d5sngxnHlmSEoffhhKUFOmeHJynZLVfFBmNjc2jk8DbgYOliTgMjN7JEexXAU8JKmG0Hv9lHju2ZIeAt4G1gDn+h28BGlpCUNTfvrTsH3ppXD55bCtDzZwnZfNWLwDCI3iXyf0T5pkZq9L2gV4xcyq8h9m+/lYvAJ46qkwHGXevHCH7vrrYdCgYkfliqzQY/FuJXSoPNDMzjWz1wHMbBHwg1wE4UrM3Lnw9a+HpNStW+g28MQTnpxczmUzFu/LGd67N7fhuERbsSJMHHfjjdC7N1x7LYwdCz19wWmXH1tMUJKOBCYCVfH41Lp4e+Q3NJcY6d0GlizZ0G3gC18odmSuzGXTSD4JuAiYDnjjdFdTVxdKSXV1rNxvP1bfcw/b+7JOrkCyaYNabmbPmNlSM/sk9ch7ZK64/vrXUFI67DCa5s7l7B492P2DD9j15JN99khXMNkkqD9JukbSCEmHpB55j8wVR0sLXHNNmDzu/vv57LzzqFq1ikmrV7NsxQqampqoqanxebhdQWRTxTssPqffNjTg2NyH44rq6adDt4G5c9d3G5i9bBkt994Lq1atPyw1e6SP5Hf5ls1dvGMKEYgronnzQmJ66qlQcnr6afja1wAY0NiYt9kjy2YxUZc32S7c+XVJ4yT9KPXId2CuAFasgHHjYN994aWXQtXurbfWJyfI3+yRviqKy0Y2Pcn/G9gaOIYwf9O/AHVmVpP/8DrOe5JnsG5dmGJ3/PgNjeFb6DaQy9KOr4pS3grdk/wIMzsD+LuFBRRGsPHsAq6U1NWF5cPPPBOqqsLsA3fcscU+TZWVlRx66KE5SSC+KorLVjYJKvXf3Gdx/N1qYGD+QnJ5kdZtgAUL4K674OWXYXjhJyf1VVFctrJJUE9K+hxwDfA60AA8mMeYXC61tIQhKbHbAOPGhSl4x4wJ4+iKwFdFcdnaYhvURgdLvYDeZpb4pdC9DYowiPfCCzcM7r3++pCoEsLv4pWnXLZBtdnNQNLphAS2fkCwmTVLOkPSP8zsgVwE4PIgvdvAoEHh+cQT2zy8WInCV0VxW5KpjH8x8Ggr+x+M77mk+fTTMGFcereBWbMyJie/3e+SLFOC6m5mn266M+7rkb+QXLutW8eKW2+lZeBAuPpqOO20UK275JKMU6E0NjZSU1NDU1MTy5cv92EsLnEyJagerS3QKWlbwCcASoqpU/l4773pO3YsM5ct4yu9elF73HFZTYXit/td0mVKUJOAhyUNSO2I2w/G91weNDY2MnXq1C2XYpYsge9+F4YPZ+38+YwBhq9dy0vNzVmXgvx2v0u6NhOUmV1LWFnlRUmfSPoYeBF40syuKVSAXUlW7UEtLWEBzL32gvvuY/HppzOsb1/uYcNigdmWgvx2v0u6rLoZSOoTj92sTSqpSq2bQVbDP555JtydSy0lfsMNNG6/faeHjfjtfpdLhR7qgpmtLKXkVIoytgfNnw8nnRSS0rp18OST62ceyEUpKJfDWJzLpazWxXP511p7UK+WFva991647bZwN+7qq+GCCza7M1ddXc3IkSO9FOTKTnHGOrjNpJeEttt2W2p69KChd2+2vuUWqK4O3Qa+//02uw14KciVoy0mKElbS/qhpF/H14MkfSP/oXU91dXVfPTooyysquI3q1ez9aBB8OqrYWBvv37FDs+5gsumBHUn0EyYZgVgIXBF3iLqqpYsgZoatj/hBPo0NsKdd4bkdNhhW/5sAmXdXcK5DLJJUF80s6sJ06xgZk2EtfFcLqR1G7B77mHxaafx8csvh/maijTbQGf58BmXK9n8BbRIqiB2s5H0RUKJynXWs8/CAQfAJZewaOBADurencFPPEH//fYr2T9qHz7jcimbBPVj4Flgd0n3A88D4/IaVVdx882wdi3L77uPPefMYWZzc8n/UfvwGZdL2azqMlnS68DhhKrdBWb2cd4j6wruugu22465M2fSs1cvmspgaafWuks0NzfTp0+fIkXkSlk2d/G+DOwLfAqsAIbEfa6zdtoJevUqqzFx6d0levfuDUC3bt0YOnRoyVZbXfFkU8X7ftrjh8ATwMQ8xtTlpP6o06tGa9as4bnnnitiVBtrz1256upqpk+fTmoYVVNTU0lXW13xbDFBmdlJaY9RwH7AkvyH1rWMHDmSbml37VavXp2YP+iO3JVbuXLl+hJUirdFufbqyH3shYQk5XKooaGBXr16bbQvCX/QHb0rV07VVlc82bRB3SLp5vi4Ffgz8GZHTyhpd0l/klQvabakC+L+HSRNljQvPm+f9pkJkuZLmiPp+I6eO8mS+gfd0btyPpWLy4VsBgunz1myBqg1symdOOca4GIzez3Ozjld0mTgTOB5M7tK0nhgPHCppCHAqYSG+l2A5yTtZWZrOxFD4qT+oGtqaujRowerV69OxB90ZxKnD2J2nWZmRX0QJsUbBcwB+sV9/YA5cXsCMCHt+N8DI7b0vUOHDrVStHTpUqurq7OlS5cWO5T1HnjgAauoqLC+fftaRUWFPfDAAwU7dxKvh8sMmGY5yg+Zlp16iw2TNG70VshrdkBnk2OcQvhg4DVgZzNbHJPmYkk7xcN2BV5N+9jCuK+17zsHOAegf//+nQ2vKJK4FFOxSkK1tbXU1NTQs2dPWlpamDRpEtXV1QU5t0uGNmfUlFSV6YNmtqBTJw6zdL4I/MzMHpG0zMw+l/b+381se0m/AF4xs/vi/knA02b220zfX2ozarqNZTXDqEukgizc2VoCkrQj8Im1ldWyJKkH8FvgfjN7JO5eIqlfLD31A5bG/QuB3dM+vhuwqDPnd8mXapxPT1Cl2rvedVybd/EkHS7pBUmPSDpY0ixgFiGRnNDRE0oSYVWYejO7Pu2tx4ExcXsMoW0qtf9USb0kDQQGAXUdPb8rDUm9q+kKK1M3g1uBK4Fa4I/A2Wb2BeDLwH914pxHAv8KHCtpRnycCFwFjJI0j9BofhWAmc0GHgLeJgxaPtfK7A6e25x3U3CQuQ1qhpkdFLfrzWxw2ntvmNnBhQmxY7wNqjz4ijOlpyBtUMC6tO2mTd7rVBuUc9lK4l1NVziZEtSBklYQuhVUxG3i695tf8w553Ij01287oUMxCWHV6tcUpTmpNcub3w+cZckWS19Xoq8kbz9vHOky4WCL33uugafT9wljScot553jnRJ4wnKreedI13SZDMflOtCfA4nlySeoNxmvHOkSwqv4rlEaM+qMa7r8ATlis77Xrm2eD8oV1Te96r8eD+oMtOVqzfe98pl4gmqiBobG7niiiu6dPXG+165TDxBFUltbS39+/fnhz/8YbsXxSwn3vfKZeLdDIogtVrvqlWrNnuvK8677X2vXFs8QRVBQ0MDW23V+qXvqtUb73vlWuNVvCJord0l5bLLLvM/VOciT1BFUFlZyU033bTZ/t69e/O9732vCBE5l0xexSuSVCK64IIL6NmzJ2vWrPHGYec24R01i8yn13XlplCrurgC8MZh59rmbVDOucTyBOWcSyxPUM65xPIE5ZxLLE9QzrnE8gTlnEssT1DOucTyBOWcSyxPUM65xPIE5ZxLLE9QzrnE8gTlnEuskklQkk6QNEfSfEnjix2Pcy7/SiJBSeoO/AL4GjAEqJY0pLhROefyrSQSFDAcmG9m75lZC/AgMLrIMTnn8qxU5oPaFfgw7fVC4LBND5J0DnBOfNksaVYBYmuPHYGPix3EJjym7CUxriTGtHeuvqhUEpRa2bfZVKBmdjtwO4Ckabma1S9XPKbsJDEmSGZcSY0pV99VKlW8hcDuaa93AxYVKRbnXIGUSoKaCgySNFBST+BU4PEix+Scy7OSqOKZ2RpJ5wG/B7oDd5jZ7C187Pb8R9ZuHlN2khgTJDOuso6pbFd1cc6VvlKp4jnnuiBPUM65xCq7BFXMITGSGiS9JWlG6larpB0kTZY0Lz5vn3b8hBjnHEnH5yiGOyQtTe8D1pEYJA2NP8t8STdLaq2rR2fjmijpo3i9Zkg6sVBxSdpd0p8k1UuaLemCuL+o1ypDXMW8Vr0l1Ul6M8b0k7g//9fKzMrmQWhAfxfYA+gJvAkMKeD5G4AdN9l3NTA+bo8Hfh63h8T4egEDY9zdcxDDl4FDgFmdiQGoA0YQ+qA9A3wtD3FNBC5p5di8xwX0Aw6J29sCc+N5i3qtMsRVzGsloE/c7gG8BhxeiGtVbiWoJA6JGQ3cHbfvBk5O2/+gmTWb2fvAfEL8nWJmLwF/60wMkvoBfc3sFQu/VfekfSaXcbUl73GZ2WIzez1ufwrUE0YsFPVaZYirLYW4VmZmK+PLHvFhFOBalVuCam1ITKZ/3Fwz4A+SpisMuwHY2cwWQ/jlA3aK+wsZa3tj2DVuFyK28yTNjFXAVBWhoHFJGgAcTCgZJOZabRIXFPFaSeouaQawFJhsZgW5VuWWoLIaEpNHR5rZIYRZF86V9OUMxxY71kwxFCq2XwFfBA4CFgPXFTouSX2A3wIXmtmKTIcWKqY24irqtTKztWZ2EGEUx3BJ+2U4PGcxlVuCKuqQGDNbFJ+XAr8jVNmWxKIt8XlpEWJtbwwL43ZeYzOzJfEXfx3wazZUcQsSl6QehCRwv5k9EncX/Vq1Flexr1WKmS0DXgBOoADXqtwSVNGGxEjaRtK2qW3gOGBWPP+YeNgY4LG4/ThwqqRekgYCgwgNiPnQrhhicf1TSYfHuyxnpH0mZ1K/3NE3CderIHHFz08C6s3s+rS3inqt2oqryNeqUtLn4nYFMBJ4h0Jcq47ebUjqAziRcOfjXeDyAp53D8KdizeB2alzA58Hngfmxecd0j5zeYxzDp28S5b2nbWEKsBqwv9YNR2JARhG+CN4F7iVOOogx3HdC7wFzIy/1P0KFRdwFKF6MROYER8nFvtaZYirmNfqAOCNeO5ZwI86+rvd3ph8qItzLrHKrYrnnCsjnqCcc4nlCco5l1ieoJxzieUJyjmXWJ6gikDS5XFU+Mw4Mv2wuP8FScPi9tOpviebfHaipEvaeb6vSZoWR8i/I+nanPwgJUTSd+Mo+pmSZkkaLenAOHwjdUy1pM9iR0kk7S9pZtx+IY7MT80m8HAb5zlZ0o/yEP/+ku7K9fcmXUlM+VtOJI0AvkEYsd4saUfCzAsbMbMTN/twx863H6G/ydfN7B1JW7Fhaa4uQdJuhH45h5jZ8jiMpBJYAFRJ2tbCwNwjCB0QDyZ0mj0CmJL2VaeZ2ZZWLBkH/FOufwYze0vSbpL6m9kHuf7+pPISVOH1Az42s2YAM/vY4hCZdApzS+0Yty+P/3s/R9qaY5K+KOnZODj5z5L2aeV844Cfmdk78XxrzOyX8fMnSXpN0huSnpO0c9w/MQ5IfUHSe5LOj/v/U3F+ovj6Z5LOV3BNLJm8Jenb8f2j43c8HEtu98cexJv+rC9IukHSS7GUd6ikRxTmGboi7bhH4886W3EwtqSqeNyOkrrF63DcJqfYCfgUWBmvwUoze9/CsJGpbFhjcShhBesj4usjgJdbuaatkrQX0GxmH8fXd0n6lcL8Tu9J+kq8rvXppSFJKyX9PP5sz0kannbt05PdE4TREV1HLnov+6NdvXL7EHoHzwV+CXwl7b0XgGFxu4GwKONQQg/irYG+hKkrLonHPA8MituHAX9s5XyvAwe2Ecv2bJiX/mzgurg9kfCH2SvG8Alhio0BwOvxmG6E3sCfB74FTCbMx7Uz8AEhER8NLCeMueoGvAIc1UocL7BhLqELCOOz+sXzLwQ+H9/bIT5XEHojfz4t9oeB7wO3tfL93QkLbnwA3AmclPbeROBHwDbAXwgDch+K780D9kiLcQ4bendf08p5zkpdw/j6LsKUPyJMQbIC2D9ei+nAQfE4I/a2Jozh/EO83gcCM9K+70jgiWL/Dhfy4VW8AjOzlZKGAl8CjgH+R9J4M7urjY98CfidmX0GIOnx+NyH8D/8/6YVSnq1M5zd4vn7EaqZ76e995SFUl6zpKWEqTUaJH0i6WBCInrDzD6RdBRQa2ZrCQNIXwQOJfxB1pnZwhjzDEKS+0srsaTGTL4FzLY4jYek9wgDTz8Bzpf0zXjc7oQxXp+Y2W8knQL8O2G0/0bMbK2kE2JMXwVukDTUzCYSqnAXA38GpprZu5L2lFRJmKTtvbSv2lIVrx/QuMm+J8zMJL0FLDGzt+LPNTteixlAC/Bs2s/fbGar42cGpH3XUmCXDOcvO56giiD+Ib8AvBB/CccQ/rdt8yOt7OsGLLMwBUYmswmlsDdbee8W4Hoze1zS0YTSREpz2vZaNvyu/AY4E/gCcEfcl2na1ra+p63j1m3ymXXAVjG+kcAIM/tM0gtAbwBJW7NhlHwfQnVuIxaKIHVAnaTJhJLUROBVQuI6ilDCg1BqO5V2VO+iJmC79vxccXt1jG+j48xsXWwzTOkdz9FleBtUgUnaW9KgtF0HERpr2/IS8E1JFQqzJZwEYGGOoPdjyYHYDnRgK5+/Brgsto8Q22n+X3xvO+CjuD2mlc+25neEqTYOJVSbUjF+W2FSs0rC9L65nplhO+DvMTntQ5hyNuXnwP2EqtqvN/2gpF0kHZK26yDiNbfQOP4hIemmEtQrwIW0P0HVA3u28zPtsRcbZjHoErwEVXh9gFsUuhCsIbQptXlXzcxel/Q/hKrAAkJVJOU04FeSfkBos3iQTUpKZjZT0oVAbSxpGPBUfHsioYr4EaEkMXBLwZtZi6Q/EUpva+Pu3xHmmX4zfv84M/trG432HfUs8O8Kt/3nxHiR9BVCsjwyVuW+JeksM7sz7bM9gGsl7QKsIlTD/j3t/SnAaDNLzQL5CnAlmyeo+yWlSjAfm9nITd5/CbhOktJKRLl0DBv+7boEn83AtYukboSG91PMbF6x40kaSTcR2p2ey/H39gJeJNxkWJPL704yr+K5rEkaQijxPe/JqU1XEu645lp/wgoqXSY5gZegnHMJ5iUo51xieYJyziWWJyjnXGJ5gnLOJZYnKOdcYv1/netI/FgDumoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4,4))\n", + "\n", + "# Scatterplot\n", + "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax);\n", + "\n", + "# Create points for the regression line\n", + "x_line = np.array([data.SLI_max.min(), data.SLI_max.max()]) # x coordinates from min and max values of SLI_max\n", + "y_line = B1 * x_line + B0 # y coordinates using the slope and intercept from our linear regression\n", + "\n", + "# Plot the regression line\n", + "ax.plot(x_line, y_line, '-r')\n", + "\n", + "ax.set_xlabel('Slide Canyon max SWE (mm)')\n", + "ax.set_ylabel('Blue Canyon max SWE (mm)');\n", + "\n", + "ax.set_xlim((0,3000))\n", + "ax.set_ylim((0,1000));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute the linear regression at our original x data points." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "x = data.SLI_max\n", + "y = B1 * x + B0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Print out our linear regression parameter (slope and intercept), our correlation coefficient, standard error of the gradient. Then compute the standard error of the regression from the standard error of the gradient:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "B0 : 127.9143\n", + "B1 : 0.1997\n", + "R^2 : 0.181\n", + "R : 0.425\n", + "stderr of the gradient: 0.087\n", + "stderr of the regression : 204.089\n" + ] + } + ], + "source": [ + "print('B0 : {}'.format(np.round(B0,4)))\n", + "print('B1 : {}'.format(np.round(B1,4)))\n", + "print('R^2 : {}'.format(np.round(rvalue**2,3)))\n", + "print('R : {}'.format(np.round(rvalue,3)))\n", + "print('stderr of the gradient: {}'.format(np.round(sB1,3)))\n", + "\n", + "# Compute the SST for x\n", + "sst_x = np.sum( (x - np.mean(x))**2 )\n", + "\n", + "# Compute the standard error\n", + "stderr = sB1 * np.sqrt(sst_x)\n", + "print('stderr of the regression : {}'.format(np.round(stderr,3)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot residuals**\n", + "\n", + "We should make a plot of the residuals (actual - predicted values). For a good linear fit, we hope that our residuals are small, don't have any trends or patterns themselves, want them to be normally distributed:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "residuals = data.BLC_max - y\n", + "\n", + "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", + "\n", + "ax1.plot(data.years,residuals)\n", + "ax1.set_xlabel('years')\n", + "ax1.set_ylabel('residuals (mm SWE)')\n", + "\n", + "ax2.hist(residuals)\n", + "ax2.set_xlabel('residuals (mm SWE)')\n", + "ax2.set_ylabel('count')\n", + "\n", + "f.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ideally our residuals should be \"random\" and normally distributed." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Another way of checking the validity of a model is to see if it predicts better than simply estimating the mean.**\n", + "\n", + "We can also make those plots and compare them to the plots above." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "meanBC = np.mean(data.BLC_max)\n", + "diffmean = data.BLC_max - meanBC\n", + "\n", + "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", + "\n", + "ax1.plot(data.years,diffmean)\n", + "ax1.set_xlabel('years')\n", + "ax1.set_ylabel('difference from mean (mm SWE)')\n", + "\n", + "ax2.hist(diffmean)\n", + "ax2.set_xlabel('difference from mean (mm SWE)')\n", + "ax2.set_ylabel('count')\n", + "\n", + "f.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The trend with time is still apparent, and the histogram looks much less normally distributed. To me, this suggests that there is some value in our regression, but we should consider a multi-linear regression that also includes a trend with time. We will explore this more below." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Finally, make predictions with our linear model**\n", + "\n", + "Let's plot what the predictions of Blue Canyon SWE would look like if we were to use this linear model:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# Use our linear model to make predictions:\n", + "BLC_linear_model = B1 * data.SLI_max + B0" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,5))\n", + "\n", + "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", + "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", + "\n", + "# Plot the predicted SWE at Blue Canyon\n", + "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Linear Regression')\n", + "\n", + "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", + "ax.set_xlabel('Water Year', fontsize=12)\n", + "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", + "plt.legend(loc=(0.2,-0.36), fontsize=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Is the slope of our linear regression significantly different from zero?** In Lab 4-3 we performed a hypothesis test on the slope of a linear regression to test the null hypothesis that the slope is zero. We can repeat that here too." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t_critical = 2.0638985616280205\n", + "t_test = 2.299628418171643\n" + ] + } + ], + "source": [ + "# null hypothesis B1 = 0\n", + "nullB1 = 0\n", + "# our alpha for 95% confidence\n", + "alpha = 0.05\n", + "# length of the dataset\n", + "n = len(x)\n", + "# degrees of freedom\n", + "dof = n - 2\n", + "# find our critical t values for a two-tailed t-distribution (t-value for alpha/2 with n-2 degrees of freedom)\n", + "t_critical = stats.t.ppf(1-alpha/2, dof)\n", + "print('t_critical = {}'.format(t_critical))\n", + "# compute the t-test statistic\n", + "t_test = (B1 - nullB1) / sB1\n", + "print('t_test = {}'.format(t_test))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "t-test > t-critical (at 95% confidence), therefore we can reject the null hypothesis and say that the slope is non-zero." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "## **Multiple Linear Regression**\n", + "\n", + "Now we are going to use both Slide Canyon SWE and time to try and predict Blue Canyon SWE.\n", + "\n", + "Start off by making scatter plots of our two independent variables (Slide Canyon SWE, time) and the dependent variable (Blue Canyon SWE)." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, [ax1, ax2] = plt.subplots(nrows=1, ncols=2, figsize=(9,4), tight_layout=True)\n", + "\n", + "# Scatterplot of SLI and BLC SWE\n", + "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax1);\n", + "ax1.set_xlabel('Slide Canyon max SWE (mm)')\n", + "ax1.set_ylabel('Blue Canyon max SWE (mm)');\n", + "ax1.set_xlim((0,3000))\n", + "ax1.set_ylim((0,1000));\n", + "\n", + "# Scatterplot of Time and BLC SWE\n", + "data.plot.scatter(x='years', y='BLC_max', c='k', ax=ax2);\n", + "ax2.set_xlabel('Water Year')\n", + "ax2.set_ylabel('Blue Canyon max SWE (mm)');\n", + "ax2.set_ylim((0,1000));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also use a function like the [scatterplot matrix](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.plotting.scatter_matrix.html) in pandas to plot each variable against each other variable (such as for visualizing correlation between all our variables). By default it's not the best looking plot, but there are plenty of options in the documentation to improve the appearance." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pd.plotting.scatter_matrix(data, figsize=(6,6), color='k', marker='.', alpha=1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also calculate the correlation coefficient between the variables we plotted here to quantify (not only visualize) how well they are correlated. The below function, shared by a student taking this class, illustrates a way to calculate and plot this." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def cross_corr(\n", + " data_frame, # panda dataframe\n", + " method:str='spearman', # type of correlation: either {'pearson', 'kendall', 'spearman'}\n", + " title:str=None, # a string representing the title of your plot\n", + " figsize:tuple=(10,10), # a tuple\n", + " )->None:\n", + " \n", + " \"\"\"\n", + " This function performs the cross correlation on all the variables in panda datafram\n", + " and plots the data in the form of a matrix of cross correlation.\n", + " \n", + " Arguments:\n", + " data_frame: a panda dataframe\n", + " \n", + " Optional arguments:\n", + " method: default='spearman'; type of correlation: either {'pearson', 'kendall', 'spearman'}\n", + " title: default=None; a string representing the tiltle of your plot\n", + " figsize: default=(10,10); # a tuple\n", + " \n", + " This function adapted from Collins Owusu [https://github.com/collinsowusu]\n", + " and modified by George Darkwah for the CEWA 465/565 - Data Analysis in Water Sciences class.\n", + " \"\"\"\n", + " import pandas as pd\n", + " import seaborn\n", + " import matplotlib.pyplot as plt\n", + " import numpy as np\n", + "\n", + " colormap = plt.cm.RdBu\n", + " # plt.figure(figsize=(6,6), dpi=300)\n", + " plt.figure(figsize=figsize,)\n", + " mask = np.zeros_like(data_frame.corr(method=method))\n", + " mask[np.triu_indices_from(mask)]=True\n", + " svm = seaborn.heatmap(data_frame.corr(method=method), mask=mask, linewidths=0.1, vmax=1.0, square=True, cmap=colormap, linecolor='white', annot=True, annot_kws={\"size\":12}).set(title=title)\n", + " \n", + " plt.show();" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "cross_corr(data);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above shows what you can determine by eye from the prior plot. Blue Canyon SWE (BLC_max) is correlated with both time (year) and with Slide Canyon SWE (SLI_max), but Slide Canyon SWE is not correlated with time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the multiple linear regression, we'll use the scipy linear algebra least-squares function, [`scipy.linalg.lstsq()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq)." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[0;31mSignature:\u001b[0m\n", + "\u001b[0mlstsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mcond\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0moverwrite_a\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0moverwrite_b\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mcheck_finite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mlapack_driver\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mDocstring:\u001b[0m\n", + "Compute least-squares solution to equation Ax = b.\n", + "\n", + "Compute a vector x such that the 2-norm ``|b - A x|`` is minimized.\n", + "\n", + "Parameters\n", + "----------\n", + "a : (M, N) array_like\n", + " Left-hand side array\n", + "b : (M,) or (M, K) array_like\n", + " Right hand side array\n", + "cond : float, optional\n", + " Cutoff for 'small' singular values; used to determine effective\n", + " rank of a. Singular values smaller than\n", + " ``rcond * largest_singular_value`` are considered zero.\n", + "overwrite_a : bool, optional\n", + " Discard data in `a` (may enhance performance). Default is False.\n", + "overwrite_b : bool, optional\n", + " Discard data in `b` (may enhance performance). Default is False.\n", + "check_finite : bool, optional\n", + " Whether to check that the input matrices contain only finite numbers.\n", + " Disabling may give a performance gain, but may result in problems\n", + " (crashes, non-termination) if the inputs do contain infinities or NaNs.\n", + "lapack_driver : str, optional\n", + " Which LAPACK driver is used to solve the least-squares problem.\n", + " Options are ``'gelsd'``, ``'gelsy'``, ``'gelss'``. Default\n", + " (``'gelsd'``) is a good choice. However, ``'gelsy'`` can be slightly\n", + " faster on many problems. ``'gelss'`` was used historically. It is\n", + " generally slow but uses less memory.\n", + "\n", + " .. versionadded:: 0.17.0\n", + "\n", + "Returns\n", + "-------\n", + "x : (N,) or (N, K) ndarray\n", + " Least-squares solution. Return shape matches shape of `b`.\n", + "residues : (K,) ndarray or float\n", + " Square of the 2-norm for each column in ``b - a x``, if ``M > N`` and\n", + " ``ndim(A) == n`` (returns a scalar if b is 1-D). Otherwise a\n", + " (0,)-shaped array is returned.\n", + "rank : int\n", + " Effective rank of `a`.\n", + "s : (min(M, N),) ndarray or None\n", + " Singular values of `a`. The condition number of a is\n", + " ``abs(s[0] / s[-1])``.\n", + "\n", + "Raises\n", + "------\n", + "LinAlgError\n", + " If computation does not converge.\n", + "\n", + "ValueError\n", + " When parameters are not compatible.\n", + "\n", + "See Also\n", + "--------\n", + "scipy.optimize.nnls : linear least squares with non-negativity constraint\n", + "\n", + "Notes\n", + "-----\n", + "When ``'gelsy'`` is used as a driver, `residues` is set to a (0,)-shaped\n", + "array and `s` is always ``None``.\n", + "\n", + "Examples\n", + "--------\n", + ">>> from scipy.linalg import lstsq\n", + ">>> import matplotlib.pyplot as plt\n", + "\n", + "Suppose we have the following data:\n", + "\n", + ">>> x = np.array([1, 2.5, 3.5, 4, 5, 7, 8.5])\n", + ">>> y = np.array([0.3, 1.1, 1.5, 2.0, 3.2, 6.6, 8.6])\n", + "\n", + "We want to fit a quadratic polynomial of the form ``y = a + b*x**2``\n", + "to this data. We first form the \"design matrix\" M, with a constant\n", + "column of 1s and a column containing ``x**2``:\n", + "\n", + ">>> M = x[:, np.newaxis]**[0, 2]\n", + ">>> M\n", + "array([[ 1. , 1. ],\n", + " [ 1. , 6.25],\n", + " [ 1. , 12.25],\n", + " [ 1. , 16. ],\n", + " [ 1. , 25. ],\n", + " [ 1. , 49. ],\n", + " [ 1. , 72.25]])\n", + "\n", + "We want to find the least-squares solution to ``M.dot(p) = y``,\n", + "where ``p`` is a vector with length 2 that holds the parameters\n", + "``a`` and ``b``.\n", + "\n", + ">>> p, res, rnk, s = lstsq(M, y)\n", + ">>> p\n", + "array([ 0.20925829, 0.12013861])\n", + "\n", + "Plot the data and the fitted curve.\n", + "\n", + ">>> plt.plot(x, y, 'o', label='data')\n", + ">>> xx = np.linspace(0, 9, 101)\n", + ">>> yy = p[0] + p[1]*xx**2\n", + ">>> plt.plot(xx, yy, label='least squares fit, $y = a + bx^2$')\n", + ">>> plt.xlabel('x')\n", + ">>> plt.ylabel('y')\n", + ">>> plt.legend(framealpha=1, shadow=True)\n", + ">>> plt.grid(alpha=0.25)\n", + ">>> plt.show()\n", + "\u001b[0;31mFile:\u001b[0m /opt/conda/lib/python3.9/site-packages/scipy/linalg/basic.py\n", + "\u001b[0;31mType:\u001b[0m function\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check out the function's documentation\n", + "lstsq?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that the [documentation for this function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq) states that it requires input of an array that includes vectors of all of the predictor variables we are considering.\n", + "\n", + "Below, we create an array made up of the maximum annual SWE at Slide Canyon and the year. We also need an array of ones (which allows for a constant term, the intercept, in the regression)." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(26, 3)\n", + "(26,)\n" + ] + } + ], + "source": [ + "years_array = np.linspace(1,data.years.size,data.years.size)\n", + "\n", + "# create the input array\n", + "multi_input = np.array([ \n", + " data.SLI_max, # SWE at slide canyon\n", + " years_array, # instead of the actual year numbers, just use a count of years starting at 1\n", + " np.ones_like(data.years) # array of ones so we allow a constant, y-intercept, value\n", + " ]).T # Transform this array with \".T\" to swap rows and columns\n", + "\n", + "# Show the shapes of our two inputs to the lstsq function to make sure they have the same first dimension length\n", + "print(multi_input.shape)\n", + "print(data.BLC_max.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now use the lstsq function and print the resulting regression parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.22156219 13.77959269 -83.33208798]\n" + ] + } + ], + "source": [ + "B, _, _, _ = lstsq(multi_input, data.BLC_max) # I'm using \"_\" as a placeholder for the outputs I don't need\n", + "print(B)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The values of B, above, show the coefficients we would assing to the Slide Canyon SWE (B[0]), the year (B[1]), and the constant offset (B[2]), in the order shown." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Make predictions with our linear model**\n", + "\n", + "Here we're using the [`.dot()`](https://numpy.org/doc/stable/reference/generated/numpy.dot.html) method to take the dot product between our input array and output regression coefficients." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# Use our linear model to make predictions:\n", + "BLC_multiple_linear_model = multi_input.dot(B)\n", + "\n", + "# We could also do it this way:\n", + "#BLC_multiple_linear_model = B[0]*data.SLI_max + B[1]*years_array + B[2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot residuals**\n", + "\n", + "We should make a plot of the residuals (actual - predicted values). For a good linear fit, we hope that our residuals are small, don't have any trends or patterns themselves, want them to be normally distributed.\n", + "\n", + "How do these compare to the residuals of the simple linear regression model?\n", + "\n", + "Generally, adding more predictors will always decrease the residual error in the region where the model is developed but may increase the error in a region outside of when it was developed. (To test this, it's best practice to keep some data separate from the regression model development and then test model performance there. You could take a subset of the data above, recalcuate the regression coefficients and then check your model prediction vs. observed for years outside of your original dataset to see if the mulitple regression actually improves your predictive capabilities.)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ml_residuals = data.BLC_max - BLC_multiple_linear_model\n", + "\n", + "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", + "\n", + "ax1.plot(data.years,ml_residuals)\n", + "ax1.set_xlabel('years')\n", + "ax1.set_ylabel('residuals (mm SWE)')\n", + "\n", + "ax2.hist(ml_residuals)\n", + "ax2.set_xlabel('residuals (mm SWE)')\n", + "ax2.set_ylabel('count')\n", + "\n", + "f.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Now compare our simple regression model with our multi-regression model.** \n", + "\n", + "Plot the results from the two different regression methods. How and where are they different?" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,5))\n", + "\n", + "# Original data\n", + "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", + "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", + "\n", + "# Plot the predicted SWE at Blue Canyon from the simple linear regression model\n", + "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Simple Linear Regression')\n", + "\n", + "# Plot the predicted SWE at Blue Canyon from the multiple linear regression model\n", + "ax.plot(data.years, BLC_multiple_linear_model, c='k', linestyle='-', linewidth=3, label='Blue Canyon Predicted with Multiple Linear Regression')\n", + "\n", + "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", + "ax.set_xlabel('Water Year', fontsize=12)\n", + "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", + "plt.legend(loc=(0.2,-0.45), fontsize=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## **Quantile Regression**\n", + "\n", + "For completeness, we can also perform a quantile regression like in Lab 4-2, then compare all three types of regression models." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create empirical CDFs for both SWE data sets" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "quantiles = np.linspace(0,1,100)\n", + "\n", + "# This is our empirical cdf of the Slide Canyon data, which also includes values down to 0 and up to 1.\n", + "SLI_ordered = stats.mstats.mquantiles(data.SLI_max, quantiles)\n", + "\n", + "# This is our empirical cdf of the Blue Canyon data, which also includes values down to 0 and up to 1.\n", + "BLC_ordered = stats.mstats.mquantiles(data.BLC_max, quantiles)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use the CDFs to \"look up\" SWE from Slide Canyon to predict SWE in Blue Canyon" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# Create our interpolation function for looking up a quantile given a value of SWE at Slide Canyon\n", + "f_SLI = interp1d(SLI_ordered, quantiles)\n", + "# Create our interpolation function for looking up SWE at Blue Canyon given a quantile\n", + "g_BLC = interp1d(quantiles, BLC_ordered)\n", + "\n", + "# Now, we can create a prediction for every value in the Slide Canyon dataset to come up with a matching prediction for the Blue Canyon dataset\n", + "BLC_predicted=g_BLC( f_SLI( data.SLI_max ) )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot the results from all three regression models together**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,5))\n", + "\n", + "# Original data\n", + "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", + "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", + "\n", + "# Plot the predicted SWE at Blue Canyon from the simple linear regression model\n", + "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Simple Linear Regression')\n", + "\n", + "# Plot the predicted SWE at Blue Canyon from the multiple linear regression model\n", + "ax.plot(data.years, BLC_multiple_linear_model, c='k', linestyle='-', linewidth=3, label='Blue Canyon Predicted with Multiple Linear Regression')\n", + "\n", + "# Predicted with linear regression between Slide Canyon and Blue Canyon\n", + "plt.plot(data.years,BLC_predicted, c='k', linestyle=':', linewidth=3, label='Blue Canyon Predicted from Quantile Regression')\n", + "\n", + "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", + "ax.set_xlabel('Water Year', fontsize=12)\n", + "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", + "plt.legend(loc=(0.2,-0.5), fontsize=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Which of these models do you think would be the most appropriate here? What tools could you use to decide?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/modules/lab5/lab5-1.ipynb b/modules/lab5/lab5-1.ipynb index e78decff..264378b2 100644 --- a/modules/lab5/lab5-1.ipynb +++ b/modules/lab5/lab5-1.ipynb @@ -144,7 +144,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -257,7 +257,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -411,7 +411,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -472,7 +472,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -562,7 +562,7 @@ "outputs": [ { "data": { - "image/png": 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Ka3JykgMPPJCTTjqJk046iQMOOIDJycl+h2XWc86JZtk3OTlJtVpl9erVVKvV3O+vuvF55r0J5LEZpNuAcyPisvT5W4HxiDhs2WvvIjd67px6vU61WmV6enqH8l133ZW77rqrEEdWVgzdvAmkaR25y4nOh1Ymc+2zKpUKU1NTudxfLfXzLJQP22kD+ALgtZIul3QN8FSW1+mp5UytVmOnnR7/VVmxYgW1Wq33AZn11wtwTjTLrFqtxuDgjqMzDgwM5HZ/1a3Ps2AFMB2D8qvACcAI8M8R8eCy1mq5MjIywqOPPr6v20ceeYSRkZHeB2TWR86JZtk2MjLCzMyOXXNu27Ytt/urbn2edtoAXgk8GzgCeCnwj5Leu6y1Wq4MDw8zMTGxwxHIwMAAF1xwQS5Pp5sth3OiWbY19lmVSoWhoSEqlQoTExO53V916/O00wbw5Ij4QtPznYGzI+Idy1pzl7nNS+f5LmDLuh61AcxdTnQ+tDIq+13AC+XDBSuAeeWEZ1Y+vagA5pHzoVn5LPsmEEnHS1ov6UFJM5IekbSls2GaLU69Xmf9+vXU6/V+h2Il45xoRebcWh7t3AX8YWAMuB2oAP8T+Eg3gzJrpWj9O1nuOCdaITm3lktbQ8FFxB3Aioh4JCI+TdINglnP1et1xsfHmZ6eZsuWLUxPTzM+Pu6jVesp50QrGufW8mlnKLhfSRoErpf098A9wG7dDctsbo3+kJo7xGz0h1SERr6WC86JVjjOreXTzhnA1wIrgD8GHgIOAl7ZzaDM5lO0/p0sl5wTrXCcW8unnY6gpyJiOiLuj4i/iYi3pJc/zHquaP07Wf44J1oRObeWz4KXgCW9DHgHUE3nFxARMdTl2MzmNDY2xqpVqwrVv5Plh3OiFZVza7m00wbwA8ArgBujqJ0GWu4MDw87OVm/fADnRCso59byaKcN4N3ATU50ZmaAc6KZFUA7ZwDfBvw/Sd8EtjYKI+L9XYvKzCy7nBPNLPfaqQC+C3gQ2BUY7G44ZmaZ55xoZrnXTgVw74j47a5HYmaWD86JZpZ77bQBXCvJyc7MLOGcaGa5104F8Azgq5KmJd0v6QFJ93c7MDOzjHJONLPcW/AScETs0YtAzMzywDnRzIqgnTOAZmZmZlYgrgCamZmZlYwrgGZmZmYl0043MEhaAezfPH9E3NWtoKx/6vW6x4E0W4Bzopl1Uj/2vQueAZT0JuBe4ErgK+njy12Oy/pgcnKSarXK6tWrqVarTE5O9jsks8xxTjSzTurXvlcLDWcp6Q7g2RHx855E1CGjo6OxYcOGfoeRG/V6nWq1yvT09GNllUqFqakpnwm03JC0MSJGu7yO3OVE50OzbOrmvnehfNhOG8C7gS3LisIyr1arMTi446hWO+20E9ddd12fIiqver3O+vXrqdfr/Q7F5uacaD2Xp7yQp1j7ba5978DAALVarevrbqcC+BPgaklnS3pL49HtwKy3RkZGmJmZ2aHsoYceYs2aNb4U3EO+DJ8LzonWU3nKC3mKNQvm2vdu27aNkZGRrq+7nQrgXSRtXQaBPZoeViDDw8NMTExQqVR2KP/1r3/N+Pi4j+R6oF6vMz4+zvT0NFu2bGF6etrbPpucE61n8pQX8hRrVjTve4eGhqhUKkxMTPSk6VU7I4H8DYCkPZKn8WDXo7K+GBsbY5999uEVr3gFDz300GPljdPRbgvYXY1LAc1tQbzts8c50XopT3khT7FmydjYGKtWrer5XcALVgAlHQF8Btg7fX4f8IcRcXOXY7M+OProo3n00Ud3KOvV6eiy6+elAGufc6L1Up7yQp5izZrh4eGeV5LbuQR8PvCWiKhGRBV4K/DJ7oZl/dLP09Fl522fG86J1jN5ygt5itXa6wbmhog4cqGyRa846Uh1A/DTiHiZpL2BfwFGgBrwPyLiv9J5zwbGgUeAN0fE1xZavrs9WB53CN0/3vZL16NuYDqeE50PbSF5ygt5irXIFsqH7YwE8hNJ55Jc8gB4DXBnB2I7E7gFGEqfnwVcFRHvlnRW+vwvJB0GnAocDjwJWCvpqRHxSAdisHn043S0JbztM68bOdH50FrKU17IU6xl1s4l4NcDw8Dn0se+wB8tZ6WSDgR+B/hUU/Ea4KJ0+iLg5KbySyNia0TcCdwBHLec9ZuZLUNHc6LzoZn1QztnAA+IiDd3eL0fAN7Gjl0n7B8R9wBExD2S9musH/he03yb0rLHkXQ6cDrAwQcf3OGQzcyAzufED+B8aGY91s4ZwI9LWifpf0t64nJXKOllwOaI2NjuW+Yom7PhYkScHxGjETHq089m1iUdy4nOh2bWLwtWACPiuSRtXA4GNki6RNLqZazzROB3JdWAS4EXSvq/wL2SVgKkfzen828CDmp6/4HAz5axfjOzJetwTnQ+NLO+aOcMIBHxI+CvgL8Ang98SNKtkl6x2BVGxNkRcWBEjJA0Zv56RLwGuAI4LZ3tNOCL6fQVwKmSdpF0CHAosG6x6zUz65RO5UTnQzPrl3Y6gn4mSQPn3yEZ/ujlEXGtpCcB3yVpBN0J7wYukzROMtTSKQARcbOky4AfAg8DZ/iONzPrlx7lROdDM+uqdvoBvIbk7rTLI2J61muvjYjPzP3O/nK/V2bl06N+AHOXE50Pzcpn2f0ARsTzWryWuURnZtZNzolmVgTtXAI+ETgPqKbzi2QA9Cd3NzQzs+xxTjSzIminH8AJ4E+BjSRDD5mZlZlzopnlXjsVwC0R8W9dj8TMLB+cE80s99qpAH5D0j+Q3Nm2tVEYEdd2LSrLPQ8GbgXmnGiWAd7PLE87FcBnp3+b7yQJ4IWdD8eKYHJykvHxcQYHB5mZmWFiYoKxsbF+h2XWKc6JZn3m/czyLdgNTF6524P+qNfrVKtVpqe3945RqVSYmpryEZp1XS+6gckj50MrEu9n2rPsbmDShfwOcDiwa6MsIv52+eFZ0dRqNQYHB3f4YQ4MDFCr1fzDtMJwTjTrH+9nOmPBoeAkfRx4FfAmku4OTiHp/sDscUZGRpiZmdmhbNu2bYyMjPQnILMOc0406y/vZzqjnbGAnxMRfwj8V0T8DXACOw5GbvaY4eFhJiYmqFQqDA0NUalUmJiY6PhRWb1eZ/369dTr9Y4u16wNzolmfdTJ/UyZ9yXtVAAb51h/lY51uQ04pHshWd6NjY0xNTXF2rVrmZqa6njD3MnJSarVKqtXr6ZarTI5OdnR5ZstwDnRrM86sZ8p+76knbGAzwX+CXgR8BGSu90+FRHndj+8pXOj52Jy419rpUdjAecuJzofmu2oDPuSTowF/I508l8lfRnYNSK2dCpAs8Vw41/rN+dEs/zzvqTFJWBJr5H02uayiNgK/A9Jf9D1yMzm4Ma/1i/OiWbF4X1J6zaAbwW+MEf5pelrZj3Xq5tMzObgnGhWEN6XtL4EvCIiHphdGBEPSBroYkxmLY2NjbFq1SoPAWS95pxoViBl35e0qgAOSNotIh5qLpS0BzDY3bAsi7I07uLw8HDfY7DScU7MmSzlLMumMu9LWl0CngA+K2mkUZBOX5q+ZiVS9tvlzXBOzBXnLLPWWnYDI+mNwNnA7iRdHTwEvDsiPtab8JbO3R7saDlHwmW4Xd6KodvdwOQ1J5YtH3YyZ/ksouXVQvmwZUfQEfHxiKiSDHN0SERUs57o7PGWeyTcuF2+WeN2ebMycU7Mh07lLJ9FtCJrZyQQIuLBuRo/W28tZciaer3O+Pg409PTbNmyhenpacbHxxe1DN8ub7Yj58RsW0zOmi+vdiJ3mmVZWxVA67+lHol24kjYt8ubWZ60m7Na5VVf+bCiW3AouLwqUpuX5bRncVsYK5NeDAWXR0XKh4vRKmctlBvd9tnyblltANMFPEHSuZI+mT4/VNLLOhmktbacI9FOnr0bHh7m2GOPdfKzUnNOzI9WOWuhvOorH1Z0C44FDHwa2AickD7fBFwOfLlbQdmOltsGr+ydXZp1mHNiAbSTV507rcjaaQP4lIj4e2AbQERMA+pqVLaDThyJ+uydWcc4JxZAu3nVudOKqp0zgDOSKiR9XiHpKcDWrkZlj+MjUbPMcE4sCOdVK7N2KoB/DXwVOEjSxcCJwOu6GZTNrcxD1phliHNigTivWlktWAGMiCslXQscT3KZ48yIuK/rkdljynT3bZk+q+WTc6J1Qydyn/OnLUY7dwE/DzgceAC4HzgsLbMeKFNP9GX6rJZfzonWaZ3Ifc6ftlgL9gMo6UtNT3cFjgM2RsQLuxnYchWh36sy9UNVps9q3dOLfgDzmBOLkA+LqhO5z/nT5rLsfgAj4uVNj9XAEcC9nQzS5lamnujL9Fkt35wTrZM6kfucP20pljIU3CaShGddVqYxeOf6rDMzM4X8rFY4zom2ZJ3I873eVyxlXHrLnnbaAP6TpA+ljw8D/wHc0P3QbK5+qs4555x+h9UVjc86MDDwWNmjjz7K2rVr+xiV2eM5J2ZDUSohnerntVejlritYXG00wbwtKanDwO1iPh2V6PqgCK1eanX63ziE5/gXe96F7vssgszMzNMTEwwNjbW79DmtZS70dyOxZarR20Ac5cTe50Pu3036uTkJOPj4wwODuYiH7YjD3cBO0fny4L5MCIK+TjmmGOiKDZv3hyVSiVIOp4NICqVSmzevLnfoc3pkksuiUqlEnvuuWdUKpW45JJL2nrfunXrYs8999zhcw4NDcW6deu6HLEVBbAhMpB/svboZT5c6u+/XXnLh0XiHJ0vC+XDefsBlHRj+g9+3EtJvTGeuZQaqS1eo4Fv81FXo4Fv1o666vU64+PjTE9PPxbv+Pg4q1atWjDWMrV5tPxxTlzYcn7/7cpTPiwa5+hiadUG8GXAy+d4NMqXRNJBkr4h6RZJN0s6My3fW9KVkm5P/+7V9J6zJd0h6TZJJy113XmVpx/dcu5G62U7FrMlcE5cQC/uRs1TPiwa5+iCaXV6cPYD2Je03eBSH8BK4Fnp9B7Aj4DDgL8HzkrLzwLek04fRtLAehfgEODHwIqF1lOkS8AR2y+rDA0NdeWySqd04vLM5s2bY926db6kY4tGjy8B5yUn9iof9urybF7yYVE5R+fDQvlw3jOAko6XdLWkz0k6WtJNwE3AvZJevLTqJkTEPRFxbTr9AHALcACwBrgone0i4OR0eg1waURsjYg7gTtIOl4tlbGxMaampli7di1TU1OZbfDcqTvajj32WB9VWqY4Jy6sV2eI8pIPi8o5uhhajQX8YeAcYE/g68BLIuJ7kp4OTJIMhr4skkaAo4HvA/tHxD2QJERJ+6WzHQB8r+ltm9Ky0snLoOVjY2OsWrUqE2NSemxM6yDnxDb06vefl3yYNc6J1tCqDeDOEfHvEXE58J8R8T2AiLi1EyuWtDvwr8CfRMT9rWado2zOvmsknS5pg6QNee8bKu+ycITo/qqsw3KVE/uZD7Pw+7fHc060Zq0qgI82TU/Peq1154ELkDRAkugujojPpcX3SlqZvr4S2JyWbwIOanr7gcDP5lpuRJwfEaMRMerEU27NdyNu2bKF6elpxsfHc99prPVVrnKi86E1c0602VpVAI+UdL+kB4BnptON589Y6golCZgAbomI9ze9dAXQ6GD1NOCLTeWnStpF0iHAocC6pa7fysFjY1oXOCdabjkn2mzztgGMiBVdWueJwGuBGyVdn5adA7wbuEzSOHAXcEoax82SLgN+SNLr/hkR8UiXYrOCcFcR1mnOiZZnzok2W6ubQLoiIr7F3G1YAF40z3veBbyra0FZ4TTuRhwfH2dgYIBt27a5vyrLJOdE6wXnRJut5xVAs17J0t3IZmb95pxozVwBtEJzVxFmZts5J1pDq5tAzMzMzKyAXAG0ZavX66xfv97dCZhZW5wzzPrPFUBbFncsamaL4Zxhlg1KxgsuntHR0diwYUO/wyi0er1OtVplenp7n7iVSoWpqSm3MbG+kLQxIkb7HUfWZCUfOmeY9c5C+dBnAG3J3LGomS2Gc4ZZdrgCaEvmjkXNbDGcM8yywxVAW7JGx6KVSoWhoSEqlYo7FjWzeTlnmGWH+wG0ZXHHoma2GM4ZZtngCqAtmzsWNbPFcM4w6z9fAjYzMzMrGVcALffcqaxZ7/j3ZlYMrgBarrlTWbPe8e/NrDjcEbTlljuVtdncEfTcOpEP/Xszyxd3BJ1jvtTSmjuVNesd/97M5pbXfbUrgBlUr9d55zvf6UstC3Cnsma90+vfW153qlYueW4W4QpgxkxOTnLwwQdz7rnnMj09zZYtW5ienmZ8fNyJcBZ3KmvWO738veVtp+rKajnV63XGx8dzu692BTBDGl+mX//61497zZda5jY2NsbU1BRr165lamqKsbGxfodkVli9+L3lbaeat8qqdU7em0W4I+gMqdVq7Lzz3P8SX9qcnzuVNeudbv/eGjvV5ptNGjvVrP3OmyurjXjHx8dZtWpV5mK1zst7MySfAcyQub5MDeecc44TipkVXp52qnk/A2TLk/dmSK4AZsjw8DAf/OAHH1e+66678oY3vKEPEZmZ9Vaedqp5qqxad+S5GZIvAWdMo6J35plnMjg4yMMPP5zZ5Gdm1g1jY2OsWrWKWq3GyMhIZvNfo7I6Pj7OwMAA27Ztc74uobw2Q3JH0BlVr9czn/zMssYdQc8t7/kw65yvLYsWyoc+A5hReT2iMDMrG+dryyO3ATQzMzMrGVcAzczMzErGFUAzMzOzknEF0MzMzKxkXAE0MzMzKxlXAM3MzMxKxhVAMzMzs5JxBdDMzMysZFwBNDMzMysZVwDNzMzMSsYVQDMzM7OScQXQzMzMrGRcATQzMzMrmdxUACW9WNJtku6QdFa/4zEz6xfnQzNbrlxUACWtAD4CvAQ4DBiTdFh/ozIz6z3nQzPrhFxUAIHjgDsi4icRMQNcCqzpc0xmZv3gfGhmy7ZzvwNo0wHA3U3PNwHPnj2TpNOB09OnWyXd1IPYlmtf4L5+B9GGvMQJ+Yk1L3FCfmJ9Wr8D6IGl5MMHJd3Wg9ia5eU7A/mJNS9xgmPtlsXEWm31Yl4qgJqjLB5XEHE+cD6ApA0RMdrtwJbLcXZeXmLNS5yQn1glbeh3DD2w6HzYD3n5zkB+Ys1LnOBYu6WTseblEvAm4KCm5wcCP+tTLGZm/eR8aGbLlpcK4HrgUEmHSBoETgWu6HNMZmb94HxoZsuWi0vAEfGwpD8GvgasAC6IiJsXeFvfLn0skuPsvLzEmpc4IT+x5iXOJVtiPuyHPP0v8hJrXuIEx9otHYtVEY9rOmJmZmZmBZaXS8BmZmZm1iGuAJqZmZmVTOEqgFkbIklSTdKNkq5vdFEhaW9JV0q6Pf27V9P8Z6ex3ybppC7HdoGkzc39JS4lNknHpJ/xDkkfkjRXNxWdjvM8ST9Nt+v1kl6agTgPkvQNSbdIulnSmWl5FrfpfLFmartK2lXSOkk3pHH+TVqeuW1adPP8Do+U9N10u35J0lBaPiDporT8FklnN73n6vR/0/iO7dfnWAclfTotv0HSC5re0/XvTAdj7ep2LUh+W0qsmdqukvZJ539Q0odnLWtx2zUiCvMgaRD9Y+DJwCBwA3BYn2OqAfvOKvt74Kx0+izgPen0YWnMuwCHpJ9lRRdjex7wLOCm5cQGrANOIOmf7N+Al/QgzvOAP5tj3n7GuRJ4Vjq9B/CjNJ4sbtP5Ys3Udk2XuXs6PQB8Hzg+i9u06I95fofrgeen068H3pFO/wFwaTr9BJI8OJI+vxoYzVCsZwCfTqf3AzYCO/XqO9PBWLu6XVvkjMz9Fjsca9a2627Ac4E3Ah+etaxFbdeinQHMyxBJa4CL0umLgJObyi+NiK0RcSdwB8ln6oqIuAb4xXJik7QSGIqI70byDfznpvd0M8759DPOeyLi2nT6AeAWklEbsrhN54t1Pn2JNRIPpk8H0keQwW1adPP8Dp8GXJNOXwm8sjE7sJuknYEKMAPc34s4YdGxHgZclb5vM/BLYLRX35lOxNrpmOZSkPyWiX3vcmKNiIci4lvAr5uXs5TtWrQK4FxDJLXaqfVCAP8uaaOSoZkA9o+IeyD555McyUE24l9sbAek07PLe+GPJf0gvYTSOJWfiTgljQBHk5yxyvQ2nRUrZGy7Sloh6XpgM3BlRGR+m5bITcDvptOnsL2D6s8CDwH3AHcB742I5krOp9PLaed247LqImO9AVgjaWdJhwDHpK/18zuz2FgberJdc5zflrrvzdJ2nc+it2vRKoBtDZHUYydGxLOAlwBnSHpei3mzGH/DfLH1K+aPAU8BjiLZybwvLe97nJJ2B/4V+JOIaHXWI4uxZm67RsQjEXEUyYgXx0k6osXsfd+mJfN6kry2keTy1UxafhzwCPAkkktqb5X05PS1V0fEM4DfTB+v7XOsF5DsLDcAHwC+AzxMf78zi40VerRdc57f5p21RUxZ267zLmKOspbbtWgVwMwNkRQRP0v/bgY+T5IY701P1zZO225OZ89C/IuNbVM6Pbu8qyLi3rRi8CjwSbafru9rnJIGSH7EF0fE59LiTG7TuWLN6nZNY/slSXucF5PRbVo2EXFrRPx2RBwDTJK0nYKkDeBXI2Jbmvu+TXqpMiJ+mv59ALiE3l1qmzPWiHg4Iv40Io6KiDXAE4Hb6eN3Zgmx9mS75j2/LSHWLG7X+Sx6uxatApipIZIk7SZpj8Y08Nskp/avAE5LZzsN+GI6fQVwqqRd0tP7h5I06uylRcWWnpp+QNLx6anxP2x6T9c0fhip3yPZrn2NM13uBHBLRLy/6aXMbdP5Ys3adpU0LOmJ6XQFWAXcSga3aRkpvSNS0k7AXwEfT1+6C3ihEruR3Lhza3rpct/0PQPAy9j+HetLrJKekMaIpNXAwxHxw35+ZxYbay+2axHy22Jjzeh2ndOStmt06c6Wfj2Al5LcRfNj4C/7HMuTSdps3ADc3IgH2IekIe/t6d+9m97zl2nst9HluxRJjizvAbaRHD2MLyU2kiP7m9LXPkw6wkyX4/wMcCPwg/SHsjIDcT6X5JT7D4Dr08dLM7pN54s1U9sVeCZwXRrPTcDbl/ob6vY2Lfpjnt/hmST59kfAuxvbFNgduJwk7/0Q+PO0fDeSO1d/kL72QbrQ08EiYx1Jvyu3AGuBai+/M52ItRfbtUXOyNxvsVOxZni71khuHHow/c4ctpTt6qHgzMzMzEqmaJeAzczMzGwBrgCamZmZlYwrgGZmZmYl4wqgmZmZWcm4AmhmZmZWMq4A5pCkv5R0s5Lhuq6X9Oy0/GpJo+n0/2v0nzbrvedJ+rNFru8lkjZIukXSrZLe25EPkiOSXi/pxnSb3yRpjaQjlQxR1phnTNKv0v6ikPQMST9Ip6+WdFv6/7pe0mfnWc/Jkt7ehfifIenCTi/XzBZP0j9K+pOm51+T9Kmm5++T9JYW73+dpCctY/2HS/pR2rdmo+wrkk5d6jItf1wBzBlJJ5B0RvmsiHgmSce4d8+eLyJeGsnICctd3xEk/Qm9JiL+O3AE8JPlLjdPJB1I0kfUc9NtfjxJn003AlWlnX0DzyHppPjopuffblrUqyPpwf+oiPj9eVb3NuCjnf4MEXEjcKCkgzu9bDNbtO+Q5IdGZ8/7Aoc3vT47d8z2OpJh9tomaefGdETcDHyOJK8h6WRgICIuXcwy51u+5YMrgPmzErgvIrYCRMR9kQ4310xSrakH879Mzz6tBZ7WNM9TJH1V0kZJ/yHp6XOs723AuyLi1nR9D0fER9P3v1zS9yVdJ2mtpP3T8vMkXZCe9fqJpDen5e+QdGbT+t8l6c3paAH/kJ5Zu1HSq9LXX5Au47PpmceL0x7OZ3/Wq9Mj6mvSs5THSvqcpNslvbNpvi+kn/VmSaenZdV0vn0l7ZRuh9+etYr9gAdIOt0kIh6MiDsjGS5tPfDsdL5jgI+QJvb073fm2KZzkvRUYGtE3Jc+v1DSxyR9I92Oz0+36y3NZ/MkPSjpPelnWyvpuKZt/7tNq/gSyeg4ZtZf32Z7njicpPPeByTtJWkX4L8D10l6u6T1aW48P82Vv0/S4e/F6dWEiqRjJH0zzQFf0/YhxK6W9HeSvknSuXSzvwVOkXQUSWfTZ7RYzv9K47hB0r9KekJafqGk90v6BvCerm4x67xO92ruR3cfJD3sX0/SQ/xHgec3vXY1MBrbewrfl6RSciPwBGAIuAP4s3Seq4BD0+lnA1+fY33XAkfOE8tebO+h/n8C70unzyOp+OySxvBzYICkF/tr03l2IumtfB/glcCVwApgf5JhpFYCLwC2kIxpuBPwXZKzcLPjuBp4Tzp9Jsn4hyvT9W8C9klf2zv9WyFJuPs0xf5Z4M+BT8yx/BXA19K4Pg28vOm184C3k/QY/y3gKcBl6Wu3A09uivE2tvf0/g9zrOePGtswfX4hcCnJIN9rgPuBZ6TbYiNwVDpfsL3n+s8D/55u7yOB65uWdyLwpX5/h/3ww4/HcvTBwBuANwLvIBkB4kTgmnSe5tEfPtPIPeyY6wfSfDucPn8VcEHTfB9tEcPL07xy3gLL2afpPe8E3pROXwh8mS6M5uJH9x8+ZZszEfGgpGOA3wR+C/gXSWdFxIXzvOU3gc9HxK8AJF2R/t2d5Aj08qaTarssMpwD0/WvBAaBO5te+0okZym3StoM7B8RNUk/l3Q0SUXvuoj4uaTnApMR8QjJANjfBI4lSUzrImJTGvP1JJXIb80RS2PM5xuBmyMZFxFJPyEZ5PvnwJsl/V4630Ek4z3+PCI+JekUkiR81OwFR8Qjkl6cxvQi4B8lHRMR55Ecyb8V+A9gfUT8WNJvSBoGdo+I5svlr46IDS2250qgPqvsSxERkm4E7o3kUi6Sbk63xfXADPDVps+/NSK2pe8ZaVrWZhZ52cjMuqZxFvA5wPuBA9LpLWy/cvBbkt5GcgC/N8lwZF+atZynkTTNuTLN5StIhpZr+Jf5AoiIL0n6JcnJhFbLOSK9mvJEkpMQX2tazOVp7raccQUwh9If29XA1elO/jSSI7F53zJH2U7ALyPiqAVWdzPJWcQb5njtn4D3R8QVkl5AchTZsLVp+hG2f9c+RdJ+5b8BF6Rlj7us28Zy5pvv0VnveRTYOY1vFXBCRPxK0tXArpAMsE5SmYUkuT0we+EREcA6kgHCryQ5E3ge8D2SiuFzSc5QQnLW8VQWcfk3NQ3suZjPlU5vS+PbYb6IeFQ7tsvZNV2HmfVfox3gM0iuSNxNcjB5P3CBpF1JKmajEXG3pPNIc9YsIjnoPWGe9Ty0QByPpo9Wy7kQODkibpD0OpKrM+0u3zLKbQBzRtLTJB3aVHQUMNXiLdcAv5e2E9mD5JQ/EXE/cGd65ou0bcmRc7z/H4Bz0vZppO3kGnen7Qn8NJ0+rc2P8HmgcTatcRR5DfAqSSvSM2fPI6lsddKewH+llb+nk9zI0fAe4GKSS7mfnP1GSU+S9KymoqNIt3lEPECSuF/H9grgd4E/YfEVwFuA31jkexbjqSQ7GjPrv2+T3ND3i4h4JCJ+QXKG7QSSHNKo7N2XXrFpvnHsAaBx89ltwLCSGwSRNCCp+YaSdrVazh7APUp6OHj1EpZtGeQzgPmzO/BPSrp4eZikTd/p880cEddK+heSS4VTJJcqG14NfEzSX5G0/7iUWWf6IuIHSrormEzPlAXwlfTl80guIf+U5EzYIQsFHxEzaYPhXzZdNvg8SdK7IV3+2yLiPzX3TSlL9VXgjUq6ZbktjRdJzyepjJ6YXup9paQ/iohPN713AHivkm4Xfk1ymfaNTa9/G1gTEY27sb8L/B2PrwBeLKlxBu6+iFg16/VrgPdJUtMZvU76Lbb/78ysv24kaSN9yayy3WP7jWCfTMtqJDecNVwIfDzNJyeQVA4/JGlPkv36B0iu3rQtzc3zLedc4Psk+5Ab2V75tBxTd/YzZnNT0uXBtcApEXF7v+PJGkkfJGn3t7bDy90F+CbJTTQPd3LZZmaWP74EbD0j6TCSM5ZXufI3r78jafDdaQcDZ7nyZ2Zm4DOAZmZmZqXjM4BmZmZmJeMKoJmZmVnJuAJoZmZmVjKuAJqZmZmVjCuAZmZmZiXz/wHgU3AElqbVUQAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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" ] @@ -623,13 +623,92 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For the multiple linear regression, we'll use the scipy linear algebra least-squares function, [`scipy.linalg.lstsq()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq)." + "We can also calculate the correlation coefficient between the variables we plotted here to quantify (not only visualize) how well they are correlated. The below function, shared by a student taking this class, illustrates a way to calculate and plot this." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def cross_corr(\n", + " data_frame, # panda dataframe\n", + " method:str='spearman', # type of correlation: either {'pearson', 'kendall', 'spearman'}\n", + " title:str=None, # a string representing the title of your plot\n", + " figsize:tuple=(10,10), # a tuple\n", + " )->None:\n", + " \n", + " \"\"\"\n", + " This function performs the cross correlation on all the variables in panda datafram\n", + " and plots the data in the form of a matrix of cross correlation.\n", + " \n", + " Arguments:\n", + " data_frame: a panda dataframe\n", + " \n", + " Optional arguments:\n", + " method: default='spearman'; type of correlation: either {'pearson', 'kendall', 'spearman'}\n", + " title: default=None; a string representing the tiltle of your plot\n", + " figsize: default=(10,10); # a tuple\n", + " \n", + " This function adapted from Collins Owusu [https://github.com/collinsowusu]\n", + " and modified by George Darkwah for the CEWA 465/565 - Data Analysis in Water Sciences class.\n", + " \"\"\"\n", + " import pandas as pd\n", + " import seaborn\n", + " import matplotlib.pyplot as plt\n", + " import numpy as np\n", + "\n", + " colormap = plt.cm.RdBu\n", + " # plt.figure(figsize=(6,6), dpi=300)\n", + " plt.figure(figsize=figsize,)\n", + " mask = np.zeros_like(data_frame.corr(method=method))\n", + " mask[np.triu_indices_from(mask)]=True\n", + " svm = seaborn.heatmap(data_frame.corr(method=method), mask=mask, linewidths=0.1, vmax=1.0, square=True, cmap=colormap, linecolor='white', annot=True, annot_kws={\"size\":12}).set(title=title)\n", + " \n", + " plt.show();" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "cross_corr(data);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above shows what you can determine by eye from the prior plot. Blue Canyon SWE (BLC_max) is correlated with both time (year) and with Slide Canyon SWE (SLI_max), but Slide Canyon SWE is not correlated with time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the multiple linear regression, we'll use the scipy linear algebra least-squares function, [`scipy.linalg.lstsq()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq)." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, "outputs": [ { "data": { @@ -750,7 +829,7 @@ ">>> plt.legend(framealpha=1, shadow=True)\n", ">>> plt.grid(alpha=0.25)\n", ">>> plt.show()\n", - "\u001b[0;31mFile:\u001b[0m /opt/conda/lib/python3.8/site-packages/scipy/linalg/basic.py\n", + "\u001b[0;31mFile:\u001b[0m /opt/conda/lib/python3.9/site-packages/scipy/linalg/basic.py\n", "\u001b[0;31mType:\u001b[0m function\n" ] }, @@ -774,7 +853,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -810,7 +889,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -844,7 +923,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -870,12 +949,12 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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NQJeqbprucap6k6puUNUNra2tRRqdMWYuS7cG8Hs49f/uBj6tqi/n8bVjwN+p6lMiUgdsEpH7gPcBD6jqjSJyHXAd8I8ishq4ClgDLAbuF5ET3SxlXjTXBNneaSUOC+3QgBNk7zw05PNITClQVSJjU+8CBq8d3JycAj4PeIuIvBFnqU29iPxAVd/t87iMMXNcuingVyXfFpEAsBZnp1rXTF5YVQ8AB9zrgyLyHE5/4SuAC92H3Qw8BPyje/wWVR0FdrsZyTOBR2cyjmTNtZX0Do9az9ECOzgwAsDOLssAGhgZS6AKoekCwFCA/jk4Bayq1wPXA4jIhcDfW/BnjCmGdFPA3xKRNe71BpzWcN8HnhaRd+VrECKyHDgdp8TMQjc49ILENvdhS4C9Saftc4+ler5rRGSjiGzs7u7OeBwttUHG4jpnF5uXikNeAGgZQIOz9haYfgq4am5OARtjjF/S7QK+QFW3udffD7ygqqcCZ+AsWp4xEakFfg58NE2LuVQpuZQ9inNdL9NcGwTg8HA043NM9rwAcHfPMNFYwufRGL+Fo84qjql2AQPUhyrmfACoqg9ZDUBjTLGkCwCTI6HXAbcD5KsItDul/HPgh6r6C/fwIRFpd+9vB7yp5n04bek8HUBnPsbhWVDj1CGzjSCFMxqLcyQ8xvGtNcQSysu9w34PyfgsMuYEgFPtAgY3Azg31wAaY4wv0gWAfSLyZhE5HWex8j0AIlIBM+vKLs4iu/8GnlPVLybddSdwtXv9auCOpONXiUiliKwAVgFPzGQMkzXXOBnAniHLABZKl7sB5IKVLQDs7LJp4PluIgM4/RrAwZExEomUSX9jjDFZShcA/iXwYeC7OFO0XubvYmCmhZPOA94DvFZEnnEvbwRuBF4nIjtxso43ArhT0bcC23EC0WvzuQMYoKXWzQAOWwawULzp33NOaEEEXrBSMPOetwZw+gxgBQmF4ahlAY0xJh/S7QJ+AbgsxfF7gXtn8sKq+jCp1/WBE2CmOucG4IaZvO50FrgZwF7LABaMtwN4eUs1S5uqLQNoGBnLZA2g1w84Rp173RhjTO7SZQDnlWBFGfWhClsDWEAH+50AcFF9iBMX1rLTMoDzXiZTwA3zox+wMcYUjQWAk7TUVtJju4ALpmtwlGBFGQ1VAVa21bG7Z5ixuO0Ens+8ALAqTRkYsADQGGPyxQLASZprgxy2KeCCOdg/wqL6ECLCiQtrGYvbTuD5LpLhJhDAanQaY0yepGsFB4CINALvBZYnn6Oqf1uQUfloQU2Q3T0WkBTKoYERFtY7m21WtdUBTkHole51M3t9/t4dVAXLufailVmdl1EdwCrnPssAGmNMfmSaAfxfnOBvC7Ap6TLnNNdW2iaQAnICwBAAJ7TVAFYKZq64Z9tB7n/uUNbnRaIxRCAUmPrjaCIDaAGgMcbkQ0YZQCCkqh8v6EhKREtNkMPhKPGEUl5m/YDzSVU5NDDKJac4AWB1sIKlC6qsFMwc0Ts0SjyHOn3haJyqQPm0/bfrQl4G0KaAjTEmHzLNAP6PiPyFiLSLyALvUtCR+aS5thJVOBK2LGC+DYzEiIzFxzOA4EwD77IM4Kw3Fk9wJDyW0/+b8Fh82vV/ABXlZdQEyy0DaIwxeZJpABgFPgc8ysT078ZCDcpPXj9gmwbOvy63BuDChqQAcGEtL3UPE7OdwLPaEXfnfH9kLOssYCQan7YItMdpB2cBoDHG5EOmU8AfB1aqak8hB1MKmo/qB2wbE/LJKwK9sK5y/Niqtjqi8QQvHw5zQmutX0MzM9Tt1s5UdTZqNLlF1TMRjsaoDqT/KKoPBSwDaIwxeZJpBnAbEC7kQEpFi5cBtFqAeXfI7QO8KDkD2OYEfVYQenZLzphnOw0czjgDWEG/ZQCNMSYvMs0AxoFnRORBYLxNxlwtAwNYN5AC8PoAJ68BXDkeAA5x2VpfhmXyoCfp/0tflkFaJJp+DSA4GcADbicZY4wxM5NpAHi7e5nzGquDlIllAAvh0MAIDVUBQkkdH2oqK1jSWGWlYGa55AxgXw4ZwMbq9P1966sC7CjhTLGIPKCqF6c7ZowxpSCjAFBVby70QEpFeZmwoCZIj20CybuD/RNFoJOduLDWSsHMcj3DExnAI8NZZgDH4kf9UTCV+lBFSW4CEZEQUA20iEgT4NWzqQcW+zYwY4yZRkZrAEXkzSLytIgcFpEBERkUkYFCD84vzTWVNgVcAMlFoJOtWljHSz22E9gvNz+yh4d2dM3oOXoGo9RWOn9PZr8GMJbZFHBVgMHRGIkcag0W2F/iVEY4maML5d8B/KeP4zLGmCllugnky8DVQLOq1qtqnarWF25Y/mquDdoUcAEcGhhNHQC21RKNJXjl8LzYZ1RSVJXP37uDHz3+yoyep3d4lOUt1ZQJ9IWzy9KFo/Fp28B56kMBVGEoWlrFoFX1K6q6Avh7VT1eVVe4l/Wq+nW/x2eMMalkugZwL7BVVUvuT+9CaK6tZMu+Pr+HMafEE0r30CiLpsgAgtMS7ngrBVNUvcNRBkdjdA3OLOPdMzRKa20ljdXBrDOAmdcBnOgH7LWGKyWq+jUROZdje6Z/37dBGWPMFDINAP8B+F8R+S1H7wL+YkFG5bPmGssA5pvXJizVGsCVSaVgLl2zqNhDm9f29AwD0D3DALB3KMrJi+pprA5klQGMxhLEEkp1BmsAG6rcfsCRGDTlPNSCEZH/AU4AnsGpnACggAWAxpiSk2kAeAMwBISAzCu8zlLNNUEGR2KMxuJUVqT/xWTSO5iiBIyn1nYC+2Z3UgCoqtP2452KqtI7FKW5NkhTlhnASNSJkzLKALpZvxIuBr0BWD1fZkqMMbNbpgHgAlV9fUFHUkKaa50s1eHhKO0NVT6PZm5IVQQ62cq2WnYesgCw2LwAMBpP0BfOroOHZ2AkRjSeoLW2kqbqAJ19mdfqC4856/kyWgM4ngEs2QBwK7AIOOD3QIwxJp1MN4HcLyJ5DwBF5Dsi0iUiW5OOLRCR+0Rkp/u1Kem+60Vkl4jsEJFL8z0ez3zsB9w1MMKDz89sJ+h0pssAglMK5sXuoaz7yJqZ2dM7PH4913WA3o755togDVXBrOoAehnATAtBgxNwlqgWYLuI3Csid3oXvwdljDGpZBoAXgvcIyKRPJeB+R5w2aRj1wEPqOoq4AH3NiKyGrgKWOOe8w0RKcj8rNcOrmeelIJJJJQP/WAT7//ek/zm+UMFeY2ugRHKBFpqj10DCE5P4NFYgr22E7iodveEqXPLt3QN5tZlw6uZ2eJmAI9ksQYwnM0UcNImkBL1GeBK4N+ALyRdjDGm5GQUALplX8pUtSqfZWBU9XfA4UmHrwC8wtM343ygesdvUdVRVd0N7ALOnOkYUmmucYKU+ZIB/NmmfTz1Sh/1oQqu+/mWrDs5ZOJg/witdZWUl6VeY7ZqobMRxApCF4+q8nLvMBuWO0n2XDeCjGcAayppqgkSGYszMhZPc5YjMpZ5BtCrM1iqawBV9bepLn6PyxhjUpk2ABSR5WnuFxHpyOuIYKGqHgBwv7a5x5fglKPx7HOP5d34FPDw3M8AHhmO8u93P8erlzfxww+ezeHhKP/yy+15f51Dg6lLwHjGdwLbRpCi6RocJRyNc9bxzeO3c+FlylvqguMt3TLdCRzOYgq4oryM2soKZxdwCfJmRtzLiIjE53LBfGPM7JYuA/g5Efm5iLxXRNaISJuILBOR14rIZ4E/AKcUYZww0V4pWcoFYyJyjYhsFJGN3d3dWb9QbWUFwYqyeVEK5v/du4OBkRifvXItp3Y0cO1FK7nt6f3cu+1gXl/nUP8IbdMEgHWhAO0NIXZaBrBovA0gaxbXUx0sp2sg1wDQ+X+yoNrZBQyZdwOJuEWdqwKZ7UerD1WUcgawzp0hqVfVEPAngBWCNsaUpGkDQFV9O/Bp4CSclka/x2lv9EFgB/BaVb0vz2M6JCLtAO5Xb2fCPmBp0uM6gM4pxn2Tqm5Q1Q2tra1ZD0BEnFqAc3wK+Jm9fdzy5Cu879zlnLzImdG/9qKVrG6v55O3beFwHgPgQ4Mj02YAwSkIbRnA4vECwOXNNbTVVc5gDeAoTdUBKsrLxjOAmQaA2WQAwdkJXMJrAI+iqrcDr/V7HMYYk0raNYCqul1VP6mqF6rqSap6uqr+qar+QFVz+40xvTtx2s7hfr0j6fhVIlIpIiuAVcATBXh9wG0HN4c3gcQTyqdu30JrbSUfvWTV+PFgRRlffOd6+iNjfPqOrdM8Q+ZGxuL0hcdSFoFOtqqtll1dthO4WPb0DBMsL2NxYxVtdaEZ7AKOjm/u8TKA/QWYAgZnJ3B/iQaAIvLWpMvbRORGppilSDonJCJPiMizIrJNRP6lSMM1xsxzme4CLggR+THwKHCSiOwTkQ8ANwKvE5GdwOvc26jqNuBWYDtwD3Ctqma20jwHzTWVc3oK+IePv8zW/QN86s2rqZvUVuvkRfV89JITuWvzAX61OWWSNSuH0pSA8Zy4sJbRWIJ9R2wncDHs7hlmWXM15WVCa31l7ptAhkfH181OTAFnFqRlUwganJ3AJVwG5vKky6XAIM7mtemM4sykrAdOAy4TkbMLOUhjjIHMC0EXhKq+a4q7Lp7i8TfgdCUpuObaILtmwXTkQzu6ePTFXj56yYkZ/xLtHhzlc/fu4LyVzVy+rj3lY/7yNcfz620H+fTtWzlrRTOtddNn76bjFYFOFwCubHN7Ah8a4rjmmpxfz2RmT+8wy933ua2ukocGci8Ds2axs4Qg9yngTNcABnguUprrRFX1/TmcozhdlgAC7sVS4MaYgvM1ACxlLbWV9Azl3h6rWD7/6x1s3T/Ab1/o5qb3bGBZc3Xac/797ucYGYvzr1esnfJ7qygv4wvvWM8bv/ow/+e2Ldz0njNyfh+8ItBTdQHxeDuBX+ga5JLVC3N6LZOZREJ5uTfMhSc5m+zb6kIMR+MMj8aoqczuY6FnaHR8CjgUKCcUKMu4lFB4LEawomzK8kCT1VcFSnYTiFsR4WvAeThB3MPAR1R1X5rzyoFNwErgP1X18RSPuQa4BmDZsmVZjWv5dXdl9fhSNBe+h0Irxnu058Y3Ffw1TPFkNAUsIueJSI17/d0i8kUROa6wQ/NXc02Q0ViC4WjBZplnbO/hMFv3D/CGtYvo7Itw+dcf5qEd03fzePylXn7x1H7+4oLjOaG1dtrHrmyr4+9ffyL3bT/E7c/sz3mcXd4UcN30AWBDVYBF9SF2WUu4gjswMMJoLHFUBhCyLwUzMhZncCQ2XjwdcPsBZz4FnOn6P3B2AQ+NxkiU5jrR7+KsVV6MU6Lql+6xaalqXFVPw9nYdqaIrE3xmBltbDPGmMkyXQP4TSAsIuuBfwBeBr5fsFGVgPF+wCW8E/ierU6pluvfcAq//JvzaW8I8f7vPcl/PriLVP3ox+IJPn3HVpY0VvHh167M6DU+cP7xnHFcE/98xzYO9uc2RXiwf4RQoGy8k8N0Vi2stZ3ARbC7290B3OJkjNvcDTpdWU4DezvFm5M6vDRWZ94OLhyNUx3IIgCsCqAKg6MluQ6wVVW/q6ox9/I9IONoTVX7gIc4tjuSMcbkXaYBYMxdq3IF8BVV/QpQV7hh+c9b1N5TwsWg7956gNXt9Sxrrua45hp+8dfncvm6xXzu3h186AebGJw0Vfa9P+zhhUND/NPlqzNec1VeJnz+7euJxhNc94vNKQPLdLwi0JlMIa9qq2NX11CpZnjmjN1uD+AVLU4G0Fvj2Z3lzvfxItBJAWA27eAi0TihrDKAbj/g0twJ3OPOkJS7l3cDvdOdICKtItLoXq8CLgGeL/xQjTHzXaYB4KCIXA+8G7jLXbMSSHPOrNZc43YDKdEM4MH+EZ56pY83rF00fqw6WMFXrjqNT73pFO5/rosr//MP4xtZDvaP8OX7X+C1J7fx+izX161oqeEfLzuZh3Z089ON0y5nSildEehkqxbWEhmLs78vkvXrFNqDO7oYjZXukoBs7OkZJhQoG5+Wb3O/ZlsM2vv/0TxpCjjzDGAsuyngKjcALM11gH8OvAM4CBwA3gak2xjSDjwoIpuBJ4H7VPVXBR2lMcaQeQD4TpxyBR9Q1YM461s+V7BRlQBvSqtUawH+ersz/fuGUxcddVxE+OAFx/ODD5xFX3iMK//zD9y77SCfvWs7sYTymcvX5LSZ4+pzlnPWigV89lfbM+7z6smkCLTnxBLtCfxS9xDv/+6T3LX5gN9DyYs9Pc4O4DJ380VTdYBAuWS9BnA8A1iTPAUcyKoVXHWGXUCA8WUEJdoO7rPA1araqqptOAHhZ6Y7QVU3u7VV16nqWlX912IM1BhjMgoAVfWgqn5RVX/v3n5FVef2GkAvA1iitQDv3nKQlW2146VTJjvnhGZ++Tfnc0JrDX/5P5u4a/MB/vrClRntEk6lrEx4/3nLGRyN8dyBzNubqioH+0fSFoH2rGx1S8GU2DrAA+76x72HSy8zmYvdSSVgwPnDobU2+24gXhu4lrqJDGBjdYC+yFhGywUiY/GMyxdB0hRwaWYA16nqEe+Gqh4GTvdxPMYYM6VpA8BJzc2TL4Nzvcl5KFBObWXFeIajlPQOjfL47t6jpn9TWdxYxU/+8hz+7KxlnLliAX/5R8fP6HXXdTQCsHlff8bnDERijMYSaWsAehqqA7TVVZZcBtArknygf/YHgLF4gr2Hw6xoPbrWYmt9KOti0L1Do1QFyo9aU9pUHSSe0IwKNoez3AXcUJX5GsAt+/r5/c7uYq4nLRORJu+GiCzASm0ZY0rUtB9OqjqnN3qk47SDK70M4H3bD5FQuCxNAAhOIHvDH5+al9dtbwjRUhvk2X19GZ9zMMMuIMlOXFhXckW4vcCoM8ed0MmePzjAipYaKisyD3zyaX9fhLG4smJSse22ukpe6c2uC0vP0OhR2T9wdgED9IWj4wHbVCLRXDOA6YPLr/1mJ5tePsKj119MMMM6gzP0BeAREfkZTh3Ad1CkwvXGGJOtrFrBiUibiCzzLoUaVKlorgmOl7koJXdvPcjSBVWsbq8v6uuKCOs6GrPKAB7KsAh0spVuT+BS2gns7Y49MMPNKYMjY7z5qw/ziZ9uzsewcrK7xysBc2wAmO0UcO9wlOaao6f3m8a7gaTP0mW7CaQ25K0BnP65uwZGeOD5Lt62oYNgRXE6XrrLYv4EOAR0A29V1f8pyosbY0yWMi0E/Ra3N+9u4LfAHuDuAo6rJDS73UBKSX9kjEde7OENa9t96VCyrqOBF7uHGMqwDtvBDItAJztxYR3haGntBJ6YAp5ZBnDv4QixhHLns53cMYPi2jOxp+foGoCetroQR8JjRGOJjJ+re3D0qBIwMJEBzKQdnDMFnPksaXmZUFdZkXYN4E837SOeUK56dXH/TlXV7ar6dVX9mqpuL+qLG2NMFjL90/izwNnAC6q6AqdX7x8KNqoS0VwTLLlNIA88d4ixuGY0/VsI6zsaUYWt+zPLAh5yA6a2DDeBgFMKBiipaWAvABwajc1oA0KnG9S21VXy6du3jt8upj29YWqC5bROCty8f6NsagH2DkeP6gICExnA/jQZwERCGY0lqMqiEDS47eCm2QWcSCi3PPkKZx+/YLzOoTHGmKNlGgCOqWovziLnMlV9EDitcMMqDc21zhRwKU1F3rP1IIvqQ5zmbsgotlM7GgDYnOE6wEODIzRWBwhl8Ut+VVvplYLpGhwZ71d7oC/3LKCX1fzGn72KWEL5xM+eLfrP1+6eYZa31ByTQfYCwky7gSQSyuHh6FE1AMHZBALpM4ARt5xQNlPAAHWh6TOAj7zYy97DEd515pxfpWKMMTnLNADsE5Fa4HfAD0XkK0BJFuLKp+aaSuIJpb9Eug4Mj8b47QvdXLZ20Xj9tmJrqa1kSWMVz2a4DvBg/2jGNQA9jdVBWusqS6oUTPfgKCcudPZEdc5gJ3BnX4RgRRlnHNfEp9+8mj/s6uW7j+zJ0ygzs7tnOGVmbDwDmOFO4L7IGPGEHjMFXF8VQCT9GsBwNLcAsL4qMO3/yR8/+QqN1QEuXeNPltwYY2aDTAPAK4AI8DHgHuBF4PJCDapUeJmN3hJpB/fQjm5GYwnfpn896zoa2JJhANg1mHkXkGSr2mrZWSIZwGgswZHwGOvd7OdMMoD7+iIsaaxCRLjq1Uu55JQ2/uOe54uW7YzGEuw7Ek4dAHrdQDIMAL0i6c2TAsDyMqE+FEjbDSTiBoBVWawBBGcn8FSbQHqHRvn1toO89fSOrLLOxhgz32RaCHpYVeNug/ObVfWr7pTwnOZlNnpKpBTM3VsP0FwT5NXLF/g6jnUdjbxyOMyRDNZHHuwfYVEW6/88Jy6sY2fXUE69h/PN+wNgzeJ6ymRmtQD3H3ECQHB2Vf/7W9dRV1nBR295JqvNF7naeyRMQjmqCLSnpTaISOYBYPd4H+DgMfdl0g84POZMImSfAaxgcIoyML94aj9jceVdZy7N6jmNMWa+yXQXcHJB6BERic/1QtAwkQEshVIwI2NxHny+i9evWTi+Fs0vXiZsc5qNILF4gp6h7KeAwSkFUyo7gb0p0UUNVSysD9E5gwxgZ1+ExY0T70drXSU3/sk6th8Y4Ev3vzDjsaazZ4oSMAAV5WU01wTpzrAUjFcjc/IUMDjT+OkygOHxDGCWAeAUGUBV5cdPvsIZxzWxauG8LmFqjDFpZZoBrFPVevcSwql19fXCDs1/Xn2zUugH/PudPQxH41y2tt3vobBmiRsA7u2b9nE9Q1ESSk5TwKsXOzUOt+73/++MrgHn37+1rpLFjVU5ZwBHY3G6BkdZ0nh0+ZXXrV7IVa9eyrd++yJP7D484/FOx6sBONXu2Na60Pj3m854H+AUAaCTAcxsCrg6h13Ag6Mx4pM2zzyx+zAvdQ/b5g9jjMlAThVSVfV24LX5HUrp8cpZlMIU8N1bD1AfquCc45v9HgoNVQGOb6lJmwEcLwKdSwDYXk9FmWTVdaRQvKnO1rpK2htCOdcCPOiel5wB9Hz6zatZ2lTNx299hsEC9rnd0ztMfahi/Gd7MqcYdKZrAKOUlwmNKbp9NFUH6ct4E0i2awCdxw9Nmga+5cm91IUqeNOp/v+RZIwxpS7TKeC3Jl3eJiI34rQ6mtMqystoqg74vglkLJ7g/u2HuGT1wqJ1NUhnXUdD2lIwubSB84QC5ZzcXpdxuZlC8qaAW2qDLG6sorMvktPaxP1HnMzhkqaqY+6rqazgS+88jc6+CP/yy8LVD/Z2AE9VRDybbiA9Q6MsqAmm3JHemFEA6ARwWU8Be/2AkwLlvnCUu7Yc4MrTlmT9fMYYMx9lGk1cnnS5FBjE2RlcdCJymYjsEJFdInJdoV+vubYy637AY/FEXhf0P/piLwMjMd5QAtO/nnUdjRwaGB3P8qXi1ZNb2JD9JhBwik5v3tvvex3G7sFRGqsDVFaU094QYtTdFZytfe56xo5JU8CeM45r4tqLVvKzTfu4Z+uBGY15Knt6Uu8A9rTVV9IzFD1mejWVnqEozTXHbgABJ3s+NBqb9v9BJMcyMF5/4eRSMLc9vZ9oLMFVtvnDGGMykukawPcnXf5CVW9Q1a5CD24yESkH/hN4A7AaeJeIrC7kazbXBLMOAP/mR0/z3u88nrcdrHdvPUhNsJwLVrXk5fnyYf1SZx3gs9OsAzw44BRPntwrNuPX6GhkcDTG7t7hnM7Pl+7B0fEiye0NTvYulw4enX0RRKbvi/y3F6/i1CUNXP+LLRkXZM7UyFiczv5Iyg0gnra6EHG3wHM6vcPHtoHzNLpTzH2RqZ8n5zqAoaMzgKrKLU/sZX1HA2sWN2T1XMYYM19NGwCKyNdE5KtTXYo1yCRnArtU9SVVjQK3UOBMZEttJT1ZTAGrKo++1MtjLx3m0ZdmXiknnlDu236Qi05uK6m6ZqvbGygvE7ZMsw7w0MAobXWVOe9aXr+0EZg+yCyG7qFRWuucQMdbv5dLALj/SIS2usppp/ED5WV86Z2nEY7G+Yefb85rGZxXDodRnXoDCDD+fWYyDdwzNJqyBAxM9AOebhrY6wSS/RSwswbQawf39N4+dhwa5Crb/GGMMRlLlwHcCGwCQsCrgJ3u5TQgXtCRpbYE2Jt0e5977Cgico2IbBSRjd3d3TN6Qa8dXKb2HYmMT01948EXZ/TaAE/uOUzPUNT34s+TVQXLWdVWO21HkEMDuRWB9qxsq6U6WM7mDItOF0rX4Mh4YORlAHPZCNLZH2Fx47Hr/yZb2VbL/3njKTy0o5sfPP5K1q8zFW8HcKoagJ628QAw/R89vUPRY4pAe8bbwU3zfyccjVEmECzPbl3r5AzgLU+8QnWwnMvXL87qeYwxZj6b9pPXLfp8M7AKuEhVv6aqXwMuxp9ewKlSScekSFT1JlXdoKobWltbZ/SCzTWV9IXHGItntqZvq5sRe9Op7Ty8q4dnZpi9umfrQSoryrjopLYZPU8hrO9oZPO+vimzVLkWgfaUlwlrlzTM+D2cCVU9agq4uSZIsLwsp3ZwyUWg03nvOcfxmhNbueGu7bzUnZ+WeNPVAPR43UDStYMLR2OEo/G0U8DTrZUMR+NUByum3JAylfFNIJExBkfG+OWzB3jL+sXUVma3m9gYY+azTP/0XgwkV1atdY8V2z4geZV3B9BZyBdcUJs+k5Fsa2c/FWXCv16xhvpQBd94cFfOr51IKPdsPchrTmylpgR/ua1b2kBfeIy9h1MHQ4cGRnLaAZxsfUcD2w8MFKVLRipDozFGxhLjfXLLyoRFDaGs28ElEkpn30jKHcCpiAife9s6QoFyPvaTZzL+A2Q6u3uGWVATHN9EkUqm/YC9dbHNU0wBN7mbQ/qnWQMYicZz2rFbV1mBCAyMxLjjmU4iY3Gr/WeMMVnKNAC8EXhaRL4nIt8DngL+rWCjmtqTwCoRWSEiQeAq4M5CvmCL+4ss01qAW/cPsGphHc21lbzvvBX8evuhnPu8Pruvj4MDI7yhxKZ/PeuWNAKweX/fMfdFonEGRmIzDwCXNhKNJdhx0J++wF4g5E0BA24twOwygD3Do0TjiYwzgOCUz/m3Pz6VZ/f18/Xf5P6HhMcrATOdUKCculBF2g0o47URp5wCzjQDmH0AWFYm1FZWMBAZ45YnX+GU9nrWddjmD2OMyUamu4C/C5wF3OZeznGnhotKVWPAh4F7geeAW1V1WyFf01vjlEktQFVl6/5+1rpdLN5/7nKqg+V886Hc1gLe8UwngXLh4lMW5nR+oZ20qI5geVnKNXqHZlADMNn6jkYA3wpCjweAtRPfh1MLMLsM4HgNwCwCQIA3ntrOW09fwtcf3MXTrxzJ6tzJ9vQOT7v+z5NJMeh0GcCqQDnBirJpu4GEo3GqctzYVB8K8OiLvWzdP8C7zlya9TSyMcbMd+l2AZ/sfn0VzpTvXvey2D1WdKr6v6p6oqqeoKo3FPr1vF9wmZSCOTgwQu9wlLVuq7SmmiB/euYy7ny2k1d6w1m97qaXj/A/j73MFactmXbKzk/BijJOWVyfcpfuwRl0AUnW0VTFgpqgbzuBu6bIAB4aGMmoVp7H62mcySaQyT5zxRoW1Yf42E+eYXg0lv6EFMLRGIcGRlnRkroGYbK2ulAGAeDUbeDAmcJurArQNzzdLuBYThlAcNYB7jg0SChQxhWnHbMPzBhjTBrpMoAfd79+IcXl8wUcV8locWvY9WTQD9jrW7t2Sf34sQ9ecDzlIvx/v8s8Czg4MsZHf/I0ixtD/NPlBS1zOGPrOxrYur//mGBovA1cjkWgPSLidh3xZydwyingxipiCc3oZ8LjlY3JdA1gsvpQgC+8Yz0vHw5zw/8+l/X54BSAhuk3gHja6tN3A/G+9wVTFIIGZydwugxgtm3gPF47uDedurhk/0AyxphSlm4X8DXu14tSXOZ8L2Bwao5VlElGpWC27u+nTOCU9okAcFFDiD85o4OfbtyXcWHff7pjG519I3z5naePl7woVes6GhmOxtndc/ROVS8AnEkZGM/6jkZ2dg3mnP2aie6hUSom9btd3JB9LcD9RyLUhSpy/vc8+/hmrrngeH70+Cs88NyhrM/f05u+BIynra6SroHRaWsQ9gxFqausmLY2ZWN1YPo6gDluAoGJncDvss4fxhiTk0x7Ab9dROrc658SkV+IyOmFHVppEBGaazPrBrKts58TWmuPyWp86I+OJ5ZI8O2Hd6d9jtuf3s9tT+/nIxev4ozjmnIed7F4i++f3Xt0hu7QwCjVwXLq8rB7ef3SBhI6UWKnmLoHnSLQyf1uc6kFuL9vJOv1f5N9/PUncvKiOv7x55vHp2AztTuDEjCe1rpKRmMJBkamDrh7hkZpqZs+u5suAxgZy20TCMDaxQ2cuXzBrPg/YowxpSjTXcCfVtVBETkfpxfwzcC3Cjes0tJcU5nRJpCt+wfG1/8lO665hsvXL+YHj708bTmZV3rDfOr2rbx6udMTdjZwAt5yNk/apHHQLQGTj8X563zcCOIFgMly6Qayvy/zGoBTqawo58tXncZAJMZ1v9iSVZeQ3T3DtNZVZlQrb6IW4NQBbu80fYA9TTWBguwCBvjIJau49UPn2OYPY4zJUaYBoNf1403AN1X1DmD6T/85pLk2mLYMTPfgKAcHRlizuD7l/X994UrC0Tjfe2RPyvtj8QQf/cnTiMCX3nlazu3Tis0r1jy5I0jXwAgLZ1AEOllLbSVLGqum7TpSKMlFoD0NVQGqAuXZZQCPhHPaADLZyYvq+cSlJ3Hf9kP8dOO+jM/bk0EJGM94N5CBqf/ocdrATf/v21gdpD8SnTJQjUTjVAVKr76lMcbMB5kGgPtF5P8D3gH8r4hUZnHurNdcE0ybAdza6QQnqTKA4JRMed3qhXzvkT0MpVjL9tXf7OKpV/r4tz8+lY6m9Ds1S4lXrDm5WPHBPBSBTnba0kZfdgJ3pcgAigjtjZnXAhwcGWNgJJbTBpBUPnD+Cs45vpl/+eW2jHeX7+kdZkUG6/8gqRj0NNPMvcPRKUvAeJqqA4zFleHosV0jVZVwNPddwHOFiCwVkQdF5DkR2SYiH/F7TMaY+SHTIO4dOLX3LlPVPmAB8IlCDarUNNdWpl0DuM1dn7Z6igwgwF9feAL9kTF+9PjLRx1/Yvdhvv6bnbztjI5Z2c/01I6jizWrKocGRmdcAibZuo4G9h2JZL32bSbiCeXw8LEBIMDihsxrAXqPm+kUsKesTPj8O9ZTViZ87NZn0pajGRgZo2comtH6P4BWdwp4qgxgLJ7gSDiaUQYQUnfRGY0lSCg5bwKZQ2LA36nqKcDZwLUiUtpb/40xc0KmhaDDQBdwvnsoBuws1KBKTXNtkHA0TiRFJsOzdf8Ay5urp93lefqyJs5b2cx//X43I2POc/VHxvjYT55h6YJqPvOWNXkfezGsdzeCeKVa+sJjRGOJvOwAHn+NpY1HvUYx9A6PktCJKdFk2XQD6ZxBDcCpLGms4rNXrGXTy0f41m+nLzHk9QDOpAYgOCVWKivKpiwFczgcRRVa0mQAvZ3TqXYCe/+X5nsGUFUPqOpT7vVBnAL3VtjQGFNwGS3AEZF/BjYAJwHfBQLAD4DzCje00uHVAuwdHqUjmPqX6NbOfk5zg5TpXHvhSv7024/zs037+LOzlvHJ27ZwaGCEn/3VubO2mf2yBdU0VgfYvK+PPz1rWd6KQCdbu6QBEWcjyEUnt+XteaeTqgagp72xiq7BUcbiCQLl0/8dtc8NADvyNAXsueK0xdz/3CG+dN8L/NGJrVMuP8hmBzA4U9xOLcDUGcCJLiBpdgG7m0RS7QQOj1kAOJmILAdOBx5Pcd81wDUAy5ZZ32Pjj+XX3VXQ599z45sK+vzmaJlOAf8x8BZgGEBVO4G6Qg2q1KTrBtIXjrLvSGTKX8DJzjmhmdOWNvKt377IrRv38qvNB/jY607MKHgsVSLCqUsmijVPtIHLzyYQgNrKCla11RZ1HeB0AeDihhCqE9/rdPYfiRAolyn75uZKRPi/V66lpbaSj/7kmfGs8mReEejjFmQWAILbDWSKKeCeNF1APBP9gI/9fxOJOutgq3IsBD3XiEgt8HPgo6o6MPl+Vb1JVTeo6obW1tbiD9AYM+dkGgBG1dnKpwAikvlvkjkgXT/g8Q4gi9MHgCLCtRetZN+RCNf9YgtnrVjAh/7ohPwN1ifrOxrZcWiQkbF43voAT7auo5HN+/qzKn8yE10p+gB72hszrwXY2RehvaHqqFqC+dJYHeRzb1/Hrq4hbrz7+ZSP2dM7zOKGUFbr7Zx+wKm/t3R9gJPHBqmngMPeFHCOvYDnEhEJ4AR/P1TVX/g9HmPM/JBpAHiruwu4UUT+Argf+K/CDau0ePXOpioF4+0AnqoEzGQXn9zGyYvqqA8FZlXJl+mc2tFAPKFs6xzgkJs5astjBhCcdYC9w062tRi8DGBL3bGBTjbdQPJRA3A6F6xq5X3nLud7j+zh9zu7j7l/d89wxtO/HicAnFkGcLo1gGFbAwiAOIUM/xt4TlW/6Pd4jDHzR9oA0P2A+gnwM5y/Uk8C/klVv1bgsZWMdFPAW/f3s6SxanzNUzplZcL3P3Amv/qb8/O6McBP691izZv39XFwYIQFNUEqK/L7y33yZpNC6x4cpbayImW/2mwzgIX+d77uDSezsq2Wv//ps/RNmnLd05t9ANhaV8ngSCzltHLPUJRgedl4P96pVJSXUReqmGIK2Hle2wXMecB7gNeKyDPu5Y1+D8oYM/elDQDdqd/bVfU+Vf2Eqv69qt5XhLGVjOpgBVWB8ilLkGzrHGDtksyyf562uhBLF8yuen/TWdQQoq2uks37+t0i0Pmd/gWnCHKwvKxoHUG6h0ZT7gAGZ01iXaiCA2kygGPxBIcGRvJWA3AqoUA5X37nafQORfnk7VvHp8mPDEfpC49lXAPQ0zZNKZjeoVGaa4MZdeFoqg4eE5DCRAZwvgeAqvqwqoqqrlPV09zL//o9LmPM3JfpFPBjIvLqgo6kxDXXBulNUc9scGSM3T3DnJrBBpC5zlmj1+cWgc7v9C9AsKKMUxbXF20jSPfg9P1uFzdU0ZkmA3iwf4SEwpLG/AfEk61d0sDHXncid20+wB3PdAKwuze7HcCeVvffL9U6wB43AMxEY3XqdnBhdxNItXUCMcYYX2QaAF4EPCoiL4rIZhHZIiKbCzmwUtNcW5kyANze6WwAWWMBIOs6GnipZ5iXe8J5LQGT7LSOBrbs709b/DgfelJ0AUmWSTeQ/W6GcEljcbK9H/qjE9hwXBOfvmMr+/siWdcA9HiZz+4U6wB7h9MXgfY0TpEBjIxZBtAYY/yUaQD4BuAE4LXA5cCb3a/zRktNMOUU8Ba3A0gmO4DnunUdDajC4Ggsr0Wgk61f2kg4GufF7qGCPH+yrhR9gJO1N1RxIE03kP3uhpVCTwF7ysuEL77jNBIJ5e9ufYaXuocpE7JebjA+BZwiAOwZHKW5JrMAsGnKDKBtAjHGGD9l2gnk5VSXQg+ulDTXBlNuAtnWOcDC+sppM0XzxTp3Iwjktwh0qtd4psDTwOFojKHR2LT/rosbQvQOR6esvwcTu4TbGwo/BexZ1lzNP1++hsdeOszNj+xhSVNV1htymmuClJfJMVPAqkrPcDRtFxBPU3UwdSFobw2glYExxhhfZJoBnPcW1FTSOzx6TA26rfv7LfvnWlATZOkCJ9NViDWAAMe31FBXWcHmAm8E6Rl0gpapNoHAxE7gg9OsA9zfF6GltpJQkQOdt2/o4PWrFzI4GmN5lhtAwNmp3lIbPGYTyOBojGgskcUUcIDBkRixeOKo45FojFCgrCC1EY0xxqTnSwAoIm8XkW0ikhCRDZPuu15EdonIDhG5NOn4Ge7aw10i8lXJZAtiHrXUBhmLKwMjsfFj4WiMF7uHbP1fEi9DV4hdwOAEJqd2NPDs3sKWgukecoK6dBlAgM5p1gE6NQCLl/3ziAj//tZTWVQfGi/Rk622utAxU8CZFoH2NLnFoPsjR08Dh6PxlOV1jDHGFIdfGcCtwFuB3yUfFJHVwFXAGuAy4Bsi4qVOvonTC3OVe7msaKMluRbgxC/E5w4MklBsB3CSM5Y1UV4mBS18vH5pI88dGJh26nWmpmsD5xmvBTjNOsD9fZGirf+brLm2koc+cSF/9/oTczo/VTHoTItAexrH28EdHQBGonGb/jXGGB/5EgCq6nOquiPFXVcAt6jqqKruBnYBZ4pIO1Cvqo+6dQm/D1xZvBEzvug9eSfwVm8DSJY1AOeyd599HHd++LyMi2LnYn1HA7GE8tyBY1qm5k1XJgGgmwGcaiewqtJZ4C4g6YQC5RnV60ulta6S7klrAL0/gLLNAE7eCexkAC0ANMYYv5TaGsAlwN6k2/vcY0vc65OPpyQi14jIRhHZ2N19bGusXKTqBrJ1fz/NNcGCbXiYjYIVZawp8JrI9UsbAQpaD7B7cJQyYdrdrqFAOQtqglPWAnQ2iCRmbbeXtjqn9FHy+j2vHeJ0u6OTTZkBHLMA0Bhj/FSwAFBE7heRrSkuV0x3WopjOs3xlFT1JlXdoKobWltbsx16St6UV+/wxJTY1s4B1ixpyDnDYnKzqD5Eq9t1pFC6B0dZUFOZtk9ze0Noym4gneM1AGdnANhaH0L16B7Y3hRwphleLwM4eSdwJBq3GoDGGOOjgq3CVtVLcjhtH7A06XYH0Oke70hxvGi8X2ReBnBkLM7OQ4NcdFJ+AkyTORFhfUcjzxRwJ3D34NRt4JK1N1Sx70g45X1eDcDZnAEEpxvIIne6u3coSmN1gEB5Zn87ehnAY6aAx2LjtQaNMcYUX6lNAd8JXCUilSKyAmezxxOqegAYFJGz3d2/7wXuKObAghVl1IcqxtdAvXBokFhCWWsbQHyxvqOBl7qHGRg5tshwPnQPTd8FxLO4MTSe6ZvM6wLS4dMmkJlK1Q2kZ2g04w0g4PRMrigT+sLH7gK2DKAxxvjHrzIwfywi+4BzgLtE5F4AVd0G3ApsB+4BrlVVb6vnXwHfxtkY8iJwd7HH3VJbSY+7CWTrfmcDgu0A9oe3DnBLgaaBu9O0gfO0N1QxMBJjeDR2zH37+yJUB8tpqAoUYogF53VzSd4J3DsUpTmLDT4iQmN1MOUu4GrbBWyMMb7xpRCXqt4G3DbFfTcAN6Q4vhFYW+ChTcvpBuL8Mtyyv5/6UMWsze7Mdus6nMD72X19nLeyJa/PnUhoxgHg4saJncAr2+qOum//EWcH8GxdI+pt9EguBt0zNMopi7Pb9d5UHbBdwMYYU2JKbQq4pDXXVI6vAdzW2c9a2wDim8bqIMubqwuyE7gvMkYsoRntdG1vcP4A6ExRC7Cz378agPkQrCijqTpwVDu4nqFRWrIs8ZOqHZyzCcQKQRtjjF8sAMxCc22Qw8NRxuIJnj8waOv/fLauo7EgO4G9NW9tGbSzm64W4P4jkVm7AcST3A0kGkswMBLLag0gQEN14Kg1gLF4gmg8YRlAY4zxkQWAWWiureRwOMqOg4NE4wnWZDkVZvJr/dJGDvSP8Epv6l24uRrvApJBoLOoIYTIsRnAcDTGkfDYrC0B42mrn+gG4pVAas4yAGyqDhyVAQy7HVwsADTGGP9YAJiFltogqvD7nT0AlgH02YUntRIKlPGu/3qMbZ35ywRm0gfYEygvo7W28pgM4GyvAehpra2ke8B5P7zlDy0ZdgHxNLmbQJwmPs70L2C7gI0xxkcWAGZhgbv26aEdXdQEy1nRXOPziOa3E1pr+elfnktClbd981Hu3nIgL8/rbXrIJAAEpyfwgUndQPa5NQBn8xpAgNb6SrqHRlFVuodyywA2VgeJxhKMjDkdRcJeAGi7gI0xxjcWAGbBawu26eUjrFncQFmaLhGm8E7taOCOD5/Hye11/NUPn+LL979AIjFlk5iMdA+OEgqUUVuZ2SaFxQ3H1gL0poRnewawrS7EWFw5Eh6bQQbQawfnnB+OOiVzbArYGGP8YwFgFrxffLGEsmaJrf8rFW11IX78F2fz1lct4cv37+TDP35qPMjIhVcEOtMd3u0NTgbQm+IE2N8XprxMMuomUsqSu4F4beCy3QTSOKkd3MQUsO0CNsYYv1gAmIXkqa+1i239XykJBcr5wtvX83/eeDJ3bz3I27756Hgnjmw5beAyb1O2uDFEOBpnIDIRdHb2jbCoPkRFhi3TSlVyN5DeISczmm3mrmm8HZyzE9ibArYMoDHG+Gd2/3YqssaqAN6sr20AKT0iwjWvOYHvXP1q9h4Oc8XXH2bjnsNZP0/34GhGO4A947UAkzaCeEWgZ7vxbiADo/QORWmpzTwz6pmcAbQ1gMYY4z8LALNQViYsqKmksqKME1ptA0ipuujkNm679lxqKyt41389xq0b92Z1fqZ9gD3tjcfWAtzfN7uLQHsmpoBH6R4azXoDCCSvAXQygJExWwNojDF+swAwSy21QU5pr5/1U3tz3cq2Om6/9jzOWtHMP/xsM09mmAkcjcXpC49lFQAuntQNJBZPcHBgZE5kAGsqK6gJltM1OELvUJTWLDeAwEQGsG/46Axgta0BNMYY31gUk6V/unw1/3z5ar+HYTLQWB3kW+85g4oy4YHnujI6p8fd6ZpNANhaV0lFmYxnAA8NjhJP6KzvAuJpq3e6gfQMjY7vhM9GsKKMmmA5fRE3A2h1AI0xxnf2J3iWzj2hxe8hmCzUVlbwqmVNPLyrGzg57ePH28BlEQCWlwkL60MccDOA40Wg58AUMDjFoLsGRjg8HKU5hwwgOMH45DWANgVsjDH+sQygmfMuWNXC1v0D9LplTKYz3gYuy/ItixtD45tA9ntFoBsz30lcylrrK9nZNUQsoVmXgPE01QSO2gUcKBcCtozCGGN8Y5/AZs47f5WTtf3Di71pH5trAOjVAgTGy8/MmSngusrx4C3XDGBTUgZwZCxuO4CTiMh3RKRLRLb6PRZjzPxhAaCZ89Z1NFIfquDhnd1pH9s16ARx2a51a28MjReD3t8XYUFNcM5sckiuiZhNeZxkjdXBpAxgbM68N3nyPeAyvwdhjJlfLAA0c155mXDuCS08vLPnqG4dqXQPjtJUHSBYkd1/jcUNVURjCXqHo+w/EmHxHJn+haPXQ+ZSBgacGprJawBt/d8EVf0dkH3BSmOMmQH7M9zMC+evauGebQd5qWeYE1prp3xc92B2NQA97Q1uLcC+ETr7Ihw/h+pEttVPvB/Z9gH2NFUH6I+MEU8okWjcdgBnSUSuAa4BWLZsmc+jMcZMZfl1dxX0+ffc+Ka8PZdlAM28cIG7DvDhnT3TPq57KLs2cB5vvV9nf4T9fZE5s/4PJqaAy2Sipl+2GquDqMLgyJhlAHOgqjep6gZV3dDa2ur3cIwxc4AvAaCIfE5EnheRzSJym4g0Jt13vYjsEpEdInJp0vEzRGSLe99XJdt+VGZeO665hqULqvh9ugBwhhnA5w4MEI7G50QRaI83BbygppLystz+2zXVTHQDCY/FqbI1gMYY4yu/MoD3AWtVdR3wAnA9gIisBq4C1uAsiv6GiHipgm/iTIGsci+2aNpk5YJVrTz2Ui9j8UTK+1U15wBwQU2QyooyNu45AkDHHKkBCNBYHSBQLjlP/zrPMdEPOBKNUW27gI0xxle+BICq+mtVjbk3HwM63OtXALeo6qiq7gZ2AWeKSDtQr6qPqrOK//vAlcUet5ndLljZwtBojGf29qW8f2AkxmgskdNOVxGhvSHE0684AeBcmgIWEVprK3MuAQNOGRiAvnDUpoAnEZEfA48CJ4nIPhH5gN9jMsbMfaUwD/PnwE/c60twAkLPPvfYmHt98nFjMnbuCS2UCfx+Zw+vXr7gmPtzrQHoaW+oYk9vGGBOTQEDvPuc43JaG+lpqnangIfHbBPIJKr6Lr/HYIyZfwoWAIrI/cCiFHd9UlXvcB/zSSAG/NA7LcXjdZrjU7227Zgzx2ioDnBqRyMP7+zm46878Zj7c2kDl6zdLf0SCpSxoCb3bFkp+usLV87o/MaqiSngcNQKQRtjjN8KFgCq6iXT3S8iVwNvBi7WieJs+4ClSQ/rADrd4x0pjk/12jcBNwFs2LBh+sJvZl65YGUL3/ztiwyMjFEfChx1X/fQzDKAixucrN/ixipsj9LR6kIVlIm7BnDMpoCNMcZvfu0Cvgz4R+AtqhpOuutO4CoRqRSRFTibPZ5Q1QPAoIic7e7+fS9wR9EHbma981e1EE8oj6ZoCzfjKWA3AzjXpn/zoaxMaKwOjrfLs13AxhjjL792AX8dqAPuE5FnRORbAKq6DbgV2A7cA1yrqnH3nL8Cvo2zMeRF4O6ij9rMeq9a1kR1sDxlPcCuwREC5UJDVSDFmel5GUALAFNrrA7Q6fZJtgygMcb4y5c/w1V1ygVFqnoDcEOK4xuBtYUcl5n7ghVlnH18Mw/vOjYA7B4cpbW2MufpW8sATq/pqAygBYDGGOMn6wRi5p3zV7awu2eYvYfDRx3PtQagZ3lzDecc38z5btcRc7Sm6gAH+pwA0DKAxhjjLwsAzbwz3hZuUhbQCQBzL3USCpTz42vO5vRlTTMa31zVWB0k6hbhtgDQGGP8ZQGgmXdWttWysL7ymHWAPUMzywCa6Xm1AAGqArYJxBhj/GQBoJl3RITzV7byhxd7iCecKkGxeILe4agFgAXktYMDywAaY4zfLAA089IFq1roC4+xrbMfgN7hKKq5l4Ax6TUmZQAtADTGGH9ZAGjmpfNWOusAf+9OA4/XAMyhD7DJTFNSBtB2ARtjjL8sADTzUmtdJae014+vAxxvA1dvAWChHJ0BtDWAxhjjJwsAzbx1waoWNr58mHA0ZhnAImiyNYDGGFMyLAA089b5K1sYiyuP7z484z7AJj0vABSBygr76DHGGD/ZPIyZt85csYBgRRkP73R2A9eFKggFLDNVKN4UcHWgPOduK8YYY/LD/gw381YoUM6rlzfx8M4eugZHLPtXYKFAOaFAGVW2/s8YY3xnAaCZ185f2cqOQ4Ns6xyw9X9F0FQdtPV/xhhTAiwANPOa1xbu5d4wbfW5t4EzmWm0ANAYY0qCBYBmXlvdXk9zjbM5wTKAhdfeEDpqN7Axxhh/2GIcM6+VlQnnrmzhl8922hrAIvi/V64db79njDHGP5YBNPPeBW5XEAsAC29xYxVLF1T7PQxjjJn3LAA0894lqxdy/soWzly+wO+hGGOMMUVhU8Bm3ltQE+QHHzzL72EYY4wxRWMZQGOMMcaYecYCQGOMMcaYecaXAFBEPisim0XkGRH5tYgsTrrvehHZJSI7ROTSpONniMgW976vivWSMsYYY4zJiV8ZwM+p6jpVPQ34FfBPACKyGrgKWANcBnxDRLyqsd8ErgFWuZfLij1oY4wxxpi5wJcAUFUHkm7WAF5hsCuAW1R1VFV3A7uAM0WkHahX1UdVVYHvA1cWc8zGGGOMMXOFb7uAReQG4L1AP3CRe3gJ8FjSw/a5x8bc65OPT/Xc1+BkC1m2bFn+Bm2MMcYYMwcULAMoIveLyNYUlysAVPWTqroU+CHwYe+0FE+l0xxPSVVvUtUNqrqhtbV1pt+KMcYUjIhc5q553iUi1/k9HmPM/FCwDKCqXpLhQ38E3AX8M05mb2nSfR1Ap3u8I8VxY4yZtdw1zv8JvA7nc+5JEblTVbf7OzJjzFzn1y7gVUk33wI8716/E7hKRCpFZAXOZo8nVPUAMCgiZ7u7f98L3FHUQRtjTP6dCexS1ZdUNQrcgrMW2hhjCsqvNYA3ishJQAJ4GfgQgKpuE5Fbge1ADLhWVePuOX8FfA+oAu52L2lt2rSpR0Rezu/wM9IC9PjwujNhYy6e2Tju+TDm4wo1kCksAfYm3d4HHNOWJnldMzAkIjuKMLZszMafjXya798/5OE9kP/I00j8U/Cfgxzfo5Sfa+JsqjX5JiIbVXWD3+PIho25eGbjuG3M+ScibwcuVdUPurffA5ypqn/j78iyU+rvc6HN9+8f7D2A2fceWCcQY4zxz1Trno0xpqAsADTGGP88CawSkRUiEsQphH+nz2MyxswDvtUBnAdu8nsAObAxF89sHLeNOc9UNSYiHwbuBcqB76jqNp+HlYuSfp+LYL5//2DvAcyy98DWABpjjDHGzDM2BWyMMcYYM89YAGiMMcYYM89YAJghEfmOiHSJyNakY+tF5FER2SIivxSRevd4QERudo8/JyLXJ53zkNv26Rn30lZC4w6KyHfd48+KyIVJ55zhHt8lIl91C3KX+piL9l6LyFIRedD9994mIh9xjy8QkftEZKf7tSnpnOvd93OHiFyadLwo73Wex1yU9zrbMYtIs/v4IRH5+qTnKtrP9FwhIp8TkedFZLOI3CYijUn3+frz7BeZB6388vlZMduJSLmIPC0iv3Jvz973QFXtksEFeA3wKmBr0rEngT9yr/858Fn3+p8Ct7jXq4E9wHL39kPAhhId97XAd93rbcAmoMy9/QRwDk5f5ruBN8yCMRftvQbagVe51+uAF4DVwP8DrnOPXwf8h3t9NfAsUAmsAF4Eyov5Xud5zEV5r3MYcw1wPk6x+a9Peq6i/UzPlQvweqDCvf4fpfTz7NP7Ue5+r8cDQfc9WO33uArwfebts2K2X4CP47Sw/ZV7e9a+B5YBzJCq/g44POnwScDv3Ov3AX/iPRyoEZEKnM4lUWCgGOOcLMtxrwYecM/rAvqADSLSDtSr6qPq/GR/H7iylMdcqLFNRVUPqOpT7vVB4DmcLg9XADe7D7uZifftCpw/EkZVdTewCzizmO91vsZciLHla8yqOqyqDwMjyc9T7J/puUJVf62qMffmY0z0aPf959kn86KV32z8rCgEEekA3gR8O+nwrH0PLACcma04vYwB3s5EQdefAcPAAeAV4POqmhzQfNedJvu0T9MhU437WeAKEakQpxfzGe59S3AK1nr2uceKKdsxe4r+XovIcuB04HFgoTq9rHG/elOjqVqALcGn93qGY/YU9b3OcMxTKYWf6dnuz5loyVlSP89FlO7/xJyTp8+K2erLwD/gtLH1zNr3wALAmflz4FoR2YSTFo+6x88E4sBinNTv34nI8e59f6aqpwIXuJf3FHfIwNTj/g7OD+lGnB/0R3B6Mqf6ZV7s+kHZjhl8eK9FpBb4OfBRVZ0u6zvVe1r09zoPY4Yiv9dZjHnKp0hxzGpiASJyv4hsTXG5Iukxn8T5f/ZD71CKp/Ll57nI5vr3d5Q8fVbMSiLyZqBLVTdlekqKYyX1Hlgh6BlQ1edx1sQgIifipIbBWQN4j6qOAV0i8gecacmXVHW/e+6giPwIJ1j8fimM253a+Zj3OBF5BNgJHGFiqgd8aFeVw5gp9nstIgGcD8cfquov3MOHRKRdVQ+402Fd7vGpWoDto4jvdZ7GXNT3OssxT6Wo7/NsoqqXTHe/iFwNvBm42J3WhRL5efbBvGnll6/PilnsPOAtIvJGIATUi8gPmMXvgWUAZ0DcnY4iUgZ8CviWe9crwGvFUQOcDTzvTlO2uOcEcD5Etx77zP6MW0Sq3fEiIq8DYqq63U1rD4rI2e7U3nuBO0p5zMV+r9335b+B51T1i0l33Qlc7V6/mon37U7gKhGpdKeuVwFPFPO9zteYi/le5zDmlErhZ3o2EpHLgH8E3qKq4aS7fP959sm8aOWXr8+KYo23EFT1elXtUNXlOP/Ov1HVdzOb34Ni7DSZCxfgxzhr+sZwIvsPAB/B2Q31AnAjE51VaoGfAtuA7cAn3OM1OLtUN7v3fYUC7wrKctzLgR04C3zvB45Lep4NOL/UXwS+7p1TqmMu9nuNs9NU3dd7xr28EWjG2aSy0/26IOmcT7rv5w6SdkYW673O15iL+V7nOOY9OJuKhtyfp9XF/pmeKxechex7k977b5XKz7OP78kb3c+lF4FP+j2eAn2Peft8mwsX4EImdgHP2vfAWsEZY4wxxswzNgVsjDHGGDPPWABojDHGGDPPWABojDHGGDPPWABojDHGGDPPWABojDHGGDPPWABojDHG5EhEvi0iq1Mcf5+IfH0GzzuU5eN/ltRxqiBE5CQRecht+ficiNzkHn9aRE5zr1eIyLCIvDvpvE0i8ir3Pel2z/cuq0WkVUTuKeTYzbEsADQmBREp93sMxpjicov3Z/V7UVU/qKrbCzWmTIjIGpzamy8V+KW+CnxJVU9T1VOAr7nHHwHOda+vx6l7d647thrgeJy+7QA/cc/3LttVtRs4ICLnFXj8JokFgGbWE5HPishHkm7fICJ/KyKfEJEnRWSziPxL0v23u3+RbhORa5KOD4nIv4rI48A5InKjiGx3z/98kb8tY0wRiMhyN5v1DeApYGmqzw4RqRGRu0TkWXF6I7/TPf6QiGxwr79fRF4Qkd/itA7zXuN7IvK2pNtD7tdaEXlARJ4SkS2S1G856bHtIvI7N1u2VUQuSPFt/BlJHVbcz7L/cD/n7heRM91xviQib3Ef8z73s/CXIrJbRD4sIh93s3mPiciCFK/TjlNMHQBV3eJe/QMTAeC5OJ2aTnNvnwk8parxKf4JPLe734cpEgsAzVzw37iteNy/3q8CDuG03jkT54PoDBF5jfv4P1fVM3A6FPytiDS7x2uArap6Fk4Hlz8G1qjqOuD/Ful7McYU30nA91X1dPd6qs+Oy4BOVV2vqmuBo6YsxekD+y84gd/rgGOmhVMYAf5YVV8FXAR8wW27luxPgXtV9TSc7NozKZ7nPJxuPJ4a4CH3c24Q5/PrdTifaf+a9Li17vOfCdwAhN334FGctn2TfQn4jYjcLSIfE5FG93hyBvBc4HfAqIjUubf/kPQc75w0BVzlHt8IpApuTYFYAGhmPVXdA/SKyOnA64GngVcnXX8KOBnnQx2coO9Z4DGcZt3e8ThOs3OAAZwP52+LyFuB5L6nxpi55WVVfcy9/npSf3ZsAS5xM2sXqGr/pOc4Cyfo6lbVKPCTDF5XgH8Tkc04rSyXAAsnPeZJ4P0i8hngVFUdTPE87UB30u0oEwHqFuC3qjrmXl+e9LgHVXXQnYLtB36ZdE7y4wBQ1e8Cp+C0Or0QeExEKt3P4KCILMJ5v3a44z4LJwB8JOlpJk8BR9zjXcDiFN+bKRALAM1c8W3gfcD7ge/gfLD+e9KHzEpV/W8RuRC4BDhHVdfjfMiH3OcY8aYpVDWG81fxz4ErmfTXvjFmThlOup7ys0NVXwDOwAmO/l1E/inF80zVWzWG+/vWzfAF3eN/BrQCZ7gZvkNMfB45T6j6O+A1wH7gf0QkVWYuMum8MZ3o85oARt3nSgAVSY8bTbqeSLo9+XHJ4+lU1e+o6hXu97XWvetR4G3AAfe1H8PJTJ7pXk8n5H4fpkgsADRzxW04UzSvBu51L38uIrUAIrJERNqABuCIqoZF5GTg7FRP5p7XoKr/C3yUifUsxpi5LeVnh4gsxpki/QHweeBVk857HLhQRJpFJAC8Pem+PTjBI8AVQMC93gB0qeqYiFwEHDd5MCJynPuY/8JZ7jL5dQGeA1Zm/61mR0Quc7833GxfM05gCs4078dwAkGYmEY+qKp9GTz9icDWvA7YTCtlhG/MbKOqURF5EOhzs3i/FpFTgEfdJTVDwLtxMnkfcqdcdjD1X6Z1wB0iEsLJCHys0N+DMcZ/qjrVZ8dK4HMikgDGgL+adN4Bd5r2UeAAzvSxV03gv3A+T54AHmAi4/hD4JcishFnbd/zKYZ0IfAJERlzx5IqA3iX+7j7s/6Gs/N64CsiMuLe/oSqHnSv/wFnjeCjMP5+lHP09C84awDPT7r916r6CM4ayLsKN3QzmUxkiY2ZvdzNH08Bb1fVnX6PxxhjisXdSPEgcF4Gu21Lkoj8DrhCVY/4PZb5wqaAzawnThHWXcADFvwZY+YbdyPFP+NsIpl1RKQV+KIFf8VlGUBjjDHGmHnGMoDGGGOMMfOMBYDGGGOMMfOMBYDGGGOMMfOMBYDGGGOMMfOMBYDGGGOMMfPM/w+UHkKSmmkT8wAAAABJRU5ErkJggg==\n", 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" ] @@ -913,12 +992,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -968,7 +1047,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -990,7 +1069,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -1012,12 +1091,12 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1067,7 +1146,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1081,7 +1160,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.12" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/modules/module6.md b/modules/module6.md index e25762dd..f8272182 100644 --- a/modules/module6.md +++ b/modules/module6.md @@ -33,16 +33,16 @@ The "[100 year storm](https://en.wikipedia.org/wiki/100-year_flood)" is a storm Based on long-term climate records for New York City, the 24-hour duration, 100-year return period rainfall was previously estimated at 7.2 inches. This "7.2 inches in 24 hours" storm (the "100 year storm") has been used to design infrastructure in New York City. When this design limit is exceeded, flooding can occur. -During the 20th century, this limit was exceeded only once, during Hurricane Floyd in 1999. However, a storm in 2007 produced 8 inches of rainfall in a 24-hour period. Another storm in August 2011 again exceeded 7.2 inches in 24 hours. Hurricane Irene in September 2011 exceeded this limit yet again, and so did Hurricane Sandy in October 2012. This happened again in September 2018 from Hurricane Florence, and then Hurricane Ida broke rain records in September 2021. The table below summarizes the time periods and the number of times this design limit was exceeded within each time period. +During the 20th century, this limit was exceeded only once, during Hurricane Floyd in 1999. However, a storm in 2007 produced 8 inches of rainfall in a 24-hour period. Another storm in August 2011 again exceeded 7.2 inches in 24 hours. Hurricane Irene in September 2011 exceeded this limit yet again, and so did Hurricane Sandy in October 2012. This happened again in September 2018 from Hurricane Florence, and then Hurricane Ida broke rain records in September 2021. Fortunately, this limit was not exceeded in 2022. The table below summarizes the time periods and the number of times this design limit was exceeded within each time period. -Note that, unlike what you will do in many hydrology classes, which is to calculate the return period across a range of different precipitation or streamflow values, we are focusing here only on the probability of 24-hour storms exceeding 7.2 inches of rainfall because this is a critical design number for New York City. If you are interested in city planning in New York around floods, they released a [design plan](https://www1.nyc.gov/assets/orr/pdf/publications/stormwater-resiliency-plan.pdf) in May 2021. Note they use different rain thresholds for different design elements (e.g., sometimes hourly rain rates matter more), so the actual critical design numbers vary more than what we're examining here. +Note that, unlike what you will do in many hydrology classes, which is to calculate the return period across a range of different precipitation or streamflow values, we are focusing here only on the probability of 24-hour storms exceeding 7.2 inches of rainfall because this is a critical design number for New York City. If you are interested in city planning in New York around floods, they released a [design plan](https://www1.nyc.gov/assets/orr/pdf/publications/stormwater-resiliency-plan.pdf) in May 2021. Note they use different rain thresholds for different design elements (e.g., sometimes hourly rain rates matter more), so the actual critical design numbers vary more than what we're examining here. You may also be interested in reading recent news about this problem. One from [NPR](https://www.npr.org/2022/10/29/1131608305/a-decade-after-sandy-hurricane-flood-maps-reveal-new-yorks-climate-future) and one from the [New York Times](https://www.nytimes.com/2022/10/21/realestate/sandy-hurricane-ida-flooding.html). The news articles are not required reading to do the homework. | time period | # of years | # of storms | | --- | --- | --- | | 1900-1999 | 100 | 1 | | 2000-2009 | 10 | 1 | | 2010-2019 | 10 | 4 | -| 2020-2021 | 2 | 1 | +| 2020-2022 | 3 | 1 | In this problem we will use Bayes’ Theorem to see if the 7.2-inch storm is still a 100-year storm. In other words, we want to find what k-year storm 7.2 inches in 24 hours corresponds to, if not 100-years.