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uidasintitlestarsreviewspriceisBestSellerboughtInLastMonthcategory
01B09B96TG33Echo Dot (5th generation, 2022 release) | Big ...4.71530821.99False0Hi-Fi Speakers
12B01HTH3C8SAnker Soundcore mini, Super-Portable Bluetooth...4.79809923.99True0Hi-Fi Speakers
23B09B8YWXDFEcho Dot (5th generation, 2022 release) | Big ...4.71530821.99False0Hi-Fi Speakers
34B09B8T5VGVEcho Dot with clock (5th generation, 2022 rele...4.7720531.99False0Hi-Fi Speakers
45B09WX6QD65Introducing Echo Pop | Full sound compact Wi-F...4.6188117.99False0Hi-Fi Speakers
..............................
24436462828589B0CHSD7P2QMotorbike Armour, Motorbike Clothing, Cycling ...0.0022.34False0Motorbike Clothing
24436472828590B0B7B8FNBQPROFIRST Waterproof Motorcycle 2 Piece Ladies ...0.0097.99False0Motorbike Clothing
24436482828591B0BD5FL5FBMen’s Motorcycle Motorbike Biker Trousers Kevl...0.0052.99False0Motorbike Clothing
24436492828592B008OYLL4ITexpeed Mens Motorcycle Motorbike Biker Trouse...4.340479.99False0Motorbike Clothing
24436502828593B08P3W9B3TRIDEX CJ223 Motorcycle Motorbike Jacket Armour...4.53453.99False0Motorbike Clothing
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" + ], + "text/plain": [ + " uid asin \\\n", + "0 1 B09B96TG33 \n", + "1 2 B01HTH3C8S \n", + "2 3 B09B8YWXDF \n", + "3 4 B09B8T5VGV \n", + "4 5 B09WX6QD65 \n", + "... ... ... \n", + "2443646 2828589 B0CHSD7P2Q \n", + "2443647 2828590 B0B7B8FNBQ \n", + "2443648 2828591 B0BD5FL5FB \n", + "2443649 2828592 B008OYLL4I \n", + "2443650 2828593 B08P3W9B3T \n", + "\n", + " title stars reviews \\\n", + "0 Echo Dot (5th generation, 2022 release) | Big ... 4.7 15308 \n", + "1 Anker Soundcore mini, Super-Portable Bluetooth... 4.7 98099 \n", + "2 Echo Dot (5th generation, 2022 release) | Big ... 4.7 15308 \n", + "3 Echo Dot with clock (5th generation, 2022 rele... 4.7 7205 \n", + "4 Introducing Echo Pop | Full sound compact Wi-F... 4.6 1881 \n", + "... ... ... ... \n", + "2443646 Motorbike Armour, Motorbike Clothing, Cycling ... 0.0 0 \n", + "2443647 PROFIRST Waterproof Motorcycle 2 Piece Ladies ... 0.0 0 \n", + "2443648 Men’s Motorcycle Motorbike Biker Trousers Kevl... 0.0 0 \n", + "2443649 Texpeed Mens Motorcycle Motorbike Biker Trouse... 4.3 404 \n", + "2443650 RIDEX CJ223 Motorcycle Motorbike Jacket Armour... 4.5 34 \n", + "\n", + " price isBestSeller boughtInLastMonth category \n", + "0 21.99 False 0 Hi-Fi Speakers \n", + "1 23.99 True 0 Hi-Fi Speakers \n", + "2 21.99 False 0 Hi-Fi Speakers \n", + "3 31.99 False 0 Hi-Fi Speakers \n", + "4 17.99 False 0 Hi-Fi Speakers \n", + "... ... ... ... ... \n", + "2443646 22.34 False 0 Motorbike Clothing \n", + "2443647 97.99 False 0 Motorbike Clothing \n", + "2443648 52.99 False 0 Motorbike Clothing \n", + "2443649 79.99 False 0 Motorbike Clothing \n", + "2443650 53.99 False 0 Motorbike Clothing \n", + "\n", + "[2443651 rows x 9 columns]" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "file_path = r\"C:\\Users\\Carlos\\Documents\\BootCamp\\Data Analyst\\Week5\\amz_uk_price_prediction_dataset.csv\"\n", + "df = pd.read_csv(file_path)\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a672aa8e-82b8-45e1-8195-5c9bd771b5c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "category\n", + "Grocery 0.058135\n", + "Smart Home Security & Lighting 0.057692\n", + "Health & Personal Care 0.057686\n", + "Mobile Phone Accessories 0.042471\n", + "Power & Hand Tools 0.035339\n", + " ... \n", + "CD, Disc & Tape Players 0.000000\n", + "General Music-Making Accessories 0.000000\n", + "Snowboard Boots 0.000000\n", + "Boxes & Organisers 0.000000\n", + "eBook Readers & Accessories 0.000000\n", + "Name: True, Length: 296, dtype: float64\n" + ] + } + ], + "source": [ + "crosstab_result = pd.crosstab(df['category'], df['isBestSeller'], normalize='index')\n", + "\n", + "proportion_of_bestsellers = crosstab_result[True]\n", + "proportion_of_bestsellers = proportion_of_bestsellers.sort_values(ascending=False)\n", + "\n", + "print(proportion_of_bestsellers)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "a50fdc3e-549b-4904-bd29-968d602c155c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(3.9130707743346096, 1.0)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.stats import chi2_contingency\n", + "\n", + "chi2_statistic, chi2_p_value, _, _ = chi2_contingency(crosstab_result)\n", + "\n", + "chi2_statistic, chi2_p_value" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "057a1d84-eacc-45b8-b92a-09ef325090b6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cramér's V for association strength: 0.12178835496344273\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "contingency_table = pd.crosstab(df['category'], df['isBestSeller'])\n", + "chi2, p, dof, expected = chi2_contingency(contingency_table)\n", + "\n", + "n = contingency_table.sum().sum()\n", + "phi2 = chi2 / n\n", + "r, k = contingency_table.shape\n", + "phi2corr = max(0, phi2 - ((k-1)*(r-1))/(n-1))\n", + "r_corrected = r - ((r-1)**2)/(n-1)\n", + "k_corrected = k - ((k-1)**2)/(n-1)\n", + "cramer_v = np.sqrt(phi2corr / min((k_corrected-1), (r_corrected-1)))\n", + "print(\"Cramér's V for association strength:\", cramer_v)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "7d0e8045-a0b2-4eae-bf3f-024b3cba5afc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Carlos\\AppData\\Local\\Temp\\ipykernel_11612\\2860290110.py:9: FutureWarning: \n", + "\n", + "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.\n", + "\n", + " sns.barplot(x=top_categories.index, y=top_categories, palette=\"coolwarm\")\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "top_categories = crosstab_result[True].sort_values(ascending=False).head(10)\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "sns.barplot(x=top_categories.index, y=top_categories, palette=\"coolwarm\")\n", + "plt.xticks(rotation=45)\n", + "plt.xlabel('Product Category')\n", + "plt.ylabel('Count of Best-Seller Products')\n", + "plt.title('Top 10 Best-Seller Product Categories')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "f91a00b6-d1a4-44bd-bfa6-7dce4465aee9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "top_categories = crosstab_result[True].sort_values(ascending=False).head(10)\n", + "top_categories.plot(kind = \"bar\", stacked = True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "c2fa24ca-6d07-4c1e-970e-4c1085d90342", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10 139.00\n", + "19 164.99\n", + "25 149.99\n", + "28 289.00\n", + "31 199.99\n", + " ... \n", + "2443619 166.99\n", + "2443627 152.58\n", + "2443638 108.77\n", + "2443641 166.99\n", + "2443643 158.99\n", + "Name: price, Length: 327688, dtype: float64\n" + ] + } + ], + "source": [ + "def tukeys_test_outliers(data):\n", + " Q1 = data.quantile(0.25)\n", + " Q3 = data.quantile(0.75)\n", + " IQR = Q3 - Q1\n", + " \n", + " lower_bound = Q1 - 1.5 * IQR\n", + " upper_bound = Q3 + 1.5 * IQR\n", + " \n", + " outliers = data[(data < lower_bound) | (data > upper_bound)]\n", + " \n", + " return outliers\n", + "\n", + "data_series = df['price']\n", + "outliers = tukeys_test_outliers(data_series)\n", + "print(outliers)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "940e2bf6-c55d-4ca1-a09c-cd9b12fdb8ad", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Product category with the highest median price: Laptops\n" + ] + } + ], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "top_20_categories = df['category'].value_counts().nlargest(20).index\n", + "filtered_df = df[df['category'].isin(top_20_categories)]\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "sns.violinplot(data=filtered_df, x='category', y='price')\n", + "plt.xticks(rotation=45)\n", + "plt.title('Distribution of Price Across Top 20 Product Categories')\n", + "plt.xlabel('Product Category')\n", + "plt.ylabel('Price')\n", + "plt.show()\n", + "\n", + "highest_median_price_category = df.groupby('category')['price'].median().idxmax()\n", + "print(\"Product category with the highest median price:\", highest_median_price_category)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "84d1164d-758b-41a1-bebc-6fdb6dc600b6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Category with the highest average price: Laptops\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "average_price_per_category = df.groupby('category')['price'].mean()\n", + "\n", + "top_10_categories = average_price_per_category.nlargest(10)\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "top_10_categories.plot(kind='bar', color='skyblue')\n", + "plt.title('Average Price of Products for Top 10 Product Categories')\n", + "plt.xlabel('Product Category')\n", + "plt.ylabel('Average Price')\n", + "plt.xticks(rotation=45)\n", + "plt.show()\n", + "\n", + "highest_average_price_category = average_price_per_category.idxmax()\n", + "print(\"Category with the highest average price:\", highest_average_price_category)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "f9304b37-ba94-4335-a2db-6695cbadb3dd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Category with the highest median star rating: Computer Memory\n" + ] + } + ], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "top_10_categories = df['category'].value_counts().nlargest(10).index\n", + "filtered_df = df[df['category'].isin(top_10_categories)]\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "sns.boxplot(data=filtered_df, x='category', y='stars')\n", + "plt.title('Distribution of Product Star Ratings by Category (Top 10)')\n", + "plt.xlabel('Product Category')\n", + "plt.ylabel('Product Star Rating')\n", + "plt.xticks(rotation=45)\n", + "plt.show()\n", + "\n", + "highest_median_star_rating_category = df.groupby('category')['stars'].median().idxmax()\n", + "print(\"Category with the highest median star rating:\", highest_median_star_rating_category)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "5396caee-0404-445f-84cf-e71caf499da1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Correlation Coefficient between Price and Stars: -0.1249067326214861\n", + "There is a weak correlation between product price and its rating.\n" + ] + } + ], + "source": [ + "correlation_coefficient = df[\"price\"].corr(df[\"stars\"], method = \"pearson\")\n", + "\n", + "print(\"Correlation Coefficient between Price and Stars:\", correlation_coefficient)\n", + "\n", + "if abs(correlation_coefficient) >= 0.5:\n", + " print(\"There is a strong correlation between product price and its rating.\")\n", + "elif abs(correlation_coefficient) >= 0.3:\n", + " print(\"There is a moderate correlation between product price and its rating.\")\n", + "elif abs(correlation_coefficient) >= 0.1:\n", + " print(\"There is a weak correlation between product price and its rating.\")\n", + "else:\n", + " print(\"There is no significant correlation between product price and its rating.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "7908eea5-e375-45e4-b16f-f37b723633ae", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(df['stars'], df['price'], alpha=0.5)\n", + "plt.title('Relationship between Product Rating and Price')\n", + "plt.xlabel('Product Rating (Stars)')\n", + "plt.ylabel('Price')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "857ba498-37c7-4f95-af71-ff0849a50fcc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import scipy.stats as stats\n", + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "df['price'] = pd.to_numeric(df['price'], errors='coerce')\n", + "df = df.dropna(subset=['price'])\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "stats.probplot(df['price'], dist=\"norm\", plot=plt)\n", + "plt.title('QQ Plot for Product Prices')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "6cd87ce4-5744-4963-b93f-4598fb35d757", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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aO3TokGrUqFHcbQAAAOAKDh48qOrVq1/yOEH6GgsLC5OU/8FUqFChmLsBAADAxbKyslSjRg1XbrsUgvQ1dn45R4UKFQjSAAAAfuxKy3D5siEAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABaUKe4GAAAAgMI4ndK6dVJamlStmtSmjRQYWNxd/a5YZ6S//vpr9ezZU1FRUbLZbFqyZInbcWOMJkyYoKioKAUHB6tdu3basWOHW012draGDx+uypUrKzQ0VL169VJKSopbTUZGhmJiYuRwOORwOBQTE6MTJ0641SQnJ6tnz54KDQ1V5cqVNWLECOXk5LjV/PDDD2rbtq2Cg4N144036qWXXpIxxmfvBwAAAPLFxUk33SS1by/165f/z5tuyh/3F8UapE+fPq3bbrtNM2bMKPT41KlT9eabb2rGjBnasmWLIiMj1alTJ508edJVExsbq8WLF2vBggVav369Tp06pR49esjpdLpq+vXrp6SkJMXHxys+Pl5JSUmKiYlxHXc6nerevbtOnz6t9evXa8GCBVq0aJFGjx7tqsnKylKnTp0UFRWlLVu2aPr06Xr99df15ptvFsE7AwAAcP2Ki5MefFC6aG5Uqan5434Tpo2fkGQWL17s+jkvL89ERkaaKVOmuMbOnj1rHA6HmTVrljHGmBMnTpiyZcuaBQsWuGpSU1NNQECAiY+PN8YYs3PnTiPJbNy40VWTkJBgJJndu3cbY4xZtmyZCQgIMKmpqa6a+fPnG7vdbjIzM40xxsycOdM4HA5z9uxZV83kyZNNVFSUycvL8/h1ZmZmGkmu6wIAAOB3584ZU726MVLhD5vNmBo18uuKiqd5zW+/bLhv3z6lp6erc+fOrjG73a62bdtqw4YNkqTExETl5ua61URFRSk6OtpVk5CQIIfDoebNm7tq7rrrLjkcDrea6OhoRUVFuWq6dOmi7OxsJSYmumratm0ru93uVnPo0CHt37//kq8jOztbWVlZbg8AAAAUbt26gjPRFzJGOngwv664+W2QTk9PlyRVrVrVbbxq1aquY+np6QoKClLFihUvWxMREVHg+hEREW41Fz9PxYoVFRQUdNma8z+frynM5MmTXWuzHQ6HatSocfkXDgAAcB1LS/NtXVHy2yB9ns1mc/vZGFNg7GIX1xRW74sa8/++aHi5fsaOHavMzEzX4+DBg5ftHQAA4HpWrZpv64qS3wbpyMhISQVne48cOeKaCY6MjFROTo4yMjIuW3P48OEC1z969KhbzcXPk5GRodzc3MvWHDlyRFLBWfML2e12VahQwe0BAACAwrVpI1WvLl1qntJmk2rUyK8rbn4bpGvXrq3IyEitWLHCNZaTk6O1a9eqZcuWkqSmTZuqbNmybjVpaWnavn27q6ZFixbKzMzU5s2bXTWbNm1SZmamW8327duVdsHvCJYvXy673a6mTZu6ar7++mu3LfGWL1+uqKgo3XTTTb5/AwAAAK5DgYHS22/n//niMH3+52nT/GM/6WIN0qdOnVJSUpKSkpIk5X/BMCkpScnJybLZbIqNjdWkSZO0ePFibd++XQMGDFBISIj69esnSXI4HHrqqac0evRorVq1St9++60ee+wxNWzYUB07dpQk1a9fX127dtWgQYO0ceNGbdy4UYMGDVKPHj1Ur149SVLnzp3VoEEDxcTE6Ntvv9WqVas0ZswYDRo0yDWD3K9fP9ntdg0YMEDbt2/X4sWLNWnSJI0aNeqKS00AAADguT59pE8/lW680X28evX88T59iqevAopu45ArW716tZFU4PHEE08YY/K3wBs/fryJjIw0drvd3H333eaHH35wu8aZM2fMsGHDTKVKlUxwcLDp0aOHSU5Odqs5fvy46d+/vwkLCzNhYWGmf//+JiMjw63mwIEDpnv37iY4ONhUqlTJDBs2zG2rO2OM+f77702bNm2M3W43kZGRZsKECV5tfWcM298BAAB46tw5Y1avNubjj/P/WZRb3l3I07xmM4Zb811LWVlZcjgcyszMZL00AACAH/I0r/ntGmkAAADAnxGkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAs8Osgfe7cOf3tb39T7dq1FRwcrD/84Q966aWXlJeX56oxxmjChAmKiopScHCw2rVrpx07drhdJzs7W8OHD1flypUVGhqqXr16KSUlxa0mIyNDMTExcjgccjgciomJ0YkTJ9xqkpOT1bNnT4WGhqpy5coaMWKEcnJyiuz1AwAAwH/5dZB+9dVXNWvWLM2YMUO7du3S1KlT9dprr2n69OmumqlTp+rNN9/UjBkztGXLFkVGRqpTp046efKkqyY2NlaLFy/WggULtH79ep06dUo9evSQ0+l01fTr109JSUmKj49XfHy8kpKSFBMT4zrudDrVvXt3nT59WuvXr9eCBQu0aNEijR49+tq8GQAAAPAvxo91797dDBw40G2sT58+5rHHHjPGGJOXl2ciIyPNlClTXMfPnj1rHA6HmTVrljHGmBMnTpiyZcuaBQsWuGpSU1NNQECAiY+PN8YYs3PnTiPJbNy40VWTkJBgJJndu3cbY4xZtmyZCQgIMKmpqa6a+fPnG7vdbjIzMz1+TZmZmUaSV+cAAADg2vE0r/n1jHTr1q21atUq7d27V5L03Xffaf369erWrZskad++fUpPT1fnzp1d59jtdrVt21YbNmyQJCUmJio3N9etJioqStHR0a6ahIQEORwONW/e3FVz1113yeFwuNVER0crKirKVdOlSxdlZ2crMTHxkq8hOztbWVlZbg8AAACUfGWKu4HLee6555SZmalbbrlFgYGBcjqdeuWVV9S3b19JUnp6uiSpatWqbudVrVpVBw4ccNUEBQWpYsWKBWrOn5+enq6IiIgCzx8REeFWc/HzVKxYUUFBQa6awkyePFkTJ0705mUDAACgBPDrGemFCxdq7ty5+vjjj7Vt2zZ9+OGHev311/Xhhx+61dlsNrefjTEFxi52cU1h9VZqLjZ27FhlZma6HgcPHrxsXwAAACgZ/HpG+i9/+Yuef/55Pfroo5Kkhg0b6sCBA5o8ebKeeOIJRUZGSsqfLa5WrZrrvCNHjrhmjyMjI5WTk6OMjAy3WekjR46oZcuWrprDhw8XeP6jR4+6XWfTpk1uxzMyMpSbm1tgpvpCdrtddrvdyssHAACAH/PrGenffvtNAQHuLQYGBrq2v6tdu7YiIyO1YsUK1/GcnBytXbvWFZKbNm2qsmXLutWkpaVp+/btrpoWLVooMzNTmzdvdtVs2rRJmZmZbjXbt29XWlqaq2b58uWy2+1q2rSpj185AAAA/J1fz0j37NlTr7zyimrWrKlbb71V3377rd58800NHDhQUv5Si9jYWE2aNEl169ZV3bp1NWnSJIWEhKhfv36SJIfDoaeeekqjR49WeHi4KlWqpDFjxqhhw4bq2LGjJKl+/frq2rWrBg0apHfffVeSNHjwYPXo0UP16tWTJHXu3FkNGjRQTEyMXnvtNf36668aM2aMBg0apAoVKhTDuwMAAIDi5NdBevr06Ro3bpyGDBmiI0eOKCoqSn/605/04osvumqeffZZnTlzRkOGDFFGRoaaN2+u5cuXKywszFXz1ltvqUyZMnr44Yd15swZdejQQXPmzFFgYKCrZt68eRoxYoRrd49evXppxowZruOBgYH64osvNGTIELVq1UrBwcHq16+fXn/99WvwTgAAAJQuTqe0bp2UliZVqya1aSNdEM1KBJsxxhR3E9eTrKwsORwOZWZmMpMNAACuS3Fx0siR0oU3mq5eXXr7balPn+Lr6zxP85pfr5EGAABA6RIXJz34oHuIlqTU1PzxuLji6csKgjQAAACuCaczfya6sPUQ58diY/PrSgKCNAAAAK6JdesKzkRfyBjp4MH8upKAIA0AAIBr4oJdhH1SV9wI0gAAALgmLrh/nk/qihtBGgAAANdEmzb5u3PYbIUft9mkGjXy60oCgjQAAACuicDA/C3upIJh+vzP06aVnP2kCdIAAAC4Zvr0kT79VLrxRvfx6tXzx/1hH2lP+fWdDQEAAFD69Okj9e5d8u9sSJAGAADANRcYKLVrV9xdXB2WdgAAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAu8DtIHDx5USkqK6+fNmzcrNjZWs2fP9mljAAAAgD/zOkj369dPq1evliSlp6erU6dO2rx5s/7617/qpZde8nmDAAAAgD/yOkhv375dd955pyTpP//5j6Kjo7VhwwZ9/PHHmjNnjq/7AwAAAPyS10E6NzdXdrtdkrRy5Ur16tVLknTLLbcoLS3Nt90BAAAAfsrrIH3rrbdq1qxZWrdunVasWKGuXbtKkg4dOqTw8HCfNwgAAAD4I6+D9Kuvvqp3331X7dq1U9++fXXbbbdJkpYuXepa8uFLqampeuyxxxQeHq6QkBA1btxYiYmJruPGGE2YMEFRUVEKDg5Wu3bttGPHDrdrZGdna/jw4apcubJCQ0PVq1cvty9MSlJGRoZiYmLkcDjkcDgUExOjEydOuNUkJyerZ8+eCg0NVeXKlTVixAjl5OT4/DUDAADA/5Xx9oR27drp2LFjysrKUsWKFV3jgwcPVkhIiE+by8jIUKtWrdS+fXt9+eWXioiI0M8//6wbbrjBVTN16lS9+eabmjNnjm6++Wa9/PLL6tSpk/bs2aOwsDBJUmxsrD777DMtWLBA4eHhGj16tHr06KHExEQFBgZKyv8SZUpKiuLj412vJyYmRp999pkkyel0qnv37qpSpYrWr1+v48eP64knnpAxRtOnT/fp6wYAAEAJYCzIzc01K1asMLNmzTJZWVnGGGNSU1PNyZMnrVzukp577jnTunXrSx7Py8szkZGRZsqUKa6xs2fPGofDYWbNmmWMMebEiROmbNmyZsGCBa6a1NRUExAQYOLj440xxuzcudNIMhs3bnTVJCQkGElm9+7dxhhjli1bZgICAkxqaqqrZv78+cZut5vMzEyPX1NmZqaR5NU5AAAAuHY8zWteL+04cOCAGjZsqN69e2vo0KE6evSopPyZ4TFjxvg05C9dulTNmjXTQw89pIiICN1+++365z//6Tq+b98+paenq3Pnzq4xu92utm3basOGDZKkxMRE5ebmutVERUW5dhuRpISEBDkcDjVv3txVc9ddd8nhcLjVREdHKyoqylXTpUsXZWdnuy01uVh2draysrLcHgAAACj5vA7SI0eOVLNmzZSRkaHg4GDX+P33369Vq1b5tLlffvlF77zzjurWrav//e9/euaZZzRixAh99NFHkvL3sZakqlWrup1XtWpV17H09HQFBQW5LUMprCYiIqLA80dERLjVXPw8FStWVFBQkKumMJMnT3atu3Y4HKpRo4Y3bwEAAAD8lNdrpNevX69vvvlGQUFBbuO1atVSamqqzxqTpLy8PDVr1kyTJk2SJN1+++3asWOH3nnnHT3++OOuOpvN5naeMabA2MUurims3krNxcaOHatRo0a5fs7KyiJMAwAAlAJez0jn5eXJ6XQWGE9JSXF9uc9XqlWrpgYNGriN1a9fX8nJyZKkyMhISSowI3zkyBHX7HFkZKRycnKUkZFx2ZrDhw8XeP6jR4+61Vz8PBkZGcrNzS0wU30hu92uChUquD0AAABQ8nkdpDt16qRp06a5frbZbDp16pTGjx+vbt26+bI3tWrVSnv27HEb27t3r2rVqiVJql27tiIjI7VixQrX8ZycHK1du1YtW7aUJDVt2lRly5Z1q0lLS9P27dtdNS1atFBmZqY2b97sqtm0aZMyMzPdarZv3+5205nly5fLbreradOmPn3dAAAAKAG8/RZjamqqufnmm039+vVNmTJlzF133WXCw8NNvXr1zOHDhy19M/JSNm/ebMqUKWNeeeUV8+OPP5p58+aZkJAQM3fuXFfNlClTjMPhMHFxceaHH34wffv2NdWqVXPtJmKMMc8884ypXr26Wblypdm2bZu55557zG233WbOnTvnqunatatp1KiRSUhIMAkJCaZhw4amR48eruPnzp0z0dHRpkOHDmbbtm1m5cqVpnr16mbYsGFevSZ27QAAAPBvnuY1mzHGeBu+z5w5o/nz52vbtm3Ky8tTkyZN1L9/f7cvH/rK559/rrFjx+rHH39U7dq1NWrUKA0aNMh13BijiRMn6t1331VGRoaaN2+uf/zjH4qOjnbVnD17Vn/5y1/08ccf68yZM+rQoYNmzpzptlb5119/1YgRI7R06VJJUq9evTRjxgy3PauTk5M1ZMgQffXVVwoODla/fv30+uuvu26Z7omsrCw5HA5lZmayzAMAAMAPeZrXLAVpWEeQBgAA8G+e5jWvd+04v/XcpVy4mwYAAABQWnk9I33xfsy5ubn67bffFBQUpJCQEP36668+bbC0YUYaAADAv3ma17zetSMjI8PtcerUKe3Zs0etW7fW/Pnzr6ppAAAAoKTwOkgXpm7dupoyZYpGjhzpi8sBAAAAfs8nQVqSAgMDdejQIV9dDgAAAPBrXn/Z8Pz2cOcZY5SWlqYZM2aoVatWPmsMAAAA8GdeB+n77rvP7WebzaYqVaronnvu0RtvvOGrvgAAAAC/5nWQzsvLK4o+AAAAgBLFZ2ukAQAAgOuJRzPSo0aN8viCb775puVmAAAAgJLCoyD97bffenQxm812Vc0AAAAAJYVHQXr16tVF3QcAAABQorBGGgAAALDA6107JGnLli365JNPlJycrJycHLdjcXFxPmkMAAAA8Gdez0gvWLBArVq10s6dO7V48WLl5uZq586d+uqrr+RwOIqiRwAAAMDveB2kJ02apLfeekuff/65goKC9Pbbb2vXrl16+OGHVbNmzaLoEQAAAPA7Xgfpn3/+Wd27d5ck2e12nT59WjabTf/3f/+n2bNn+7xBAAAAwB95HaQrVaqkkydPSpJuvPFGbd++XZJ04sQJ/fbbb77tDgAAAPBTXn/ZsE2bNlqxYoUaNmyohx9+WCNHjtRXX32lFStWqEOHDkXRIwAAAOB3PA7SSUlJaty4sWbMmKGzZ89KksaOHauyZctq/fr16tOnj8aNG1dkjQIAAAD+xGaMMZ4UBgQE6Pbbb9fTTz+tfv36sUOHRVlZWXI4HMrMzFSFChWKux0AAABcxNO85vEa6W+++UZNmjTR888/r2rVqumxxx7jjocAAAC4bnkcpFu0aKF//vOfSk9P1zvvvKOUlBR17NhRf/zjH/XKK68oJSWlKPsEAAAA/IrXu3YEBwfriSee0Jo1a7R371717dtX7777rmrXrq1u3boVRY8AAACA3/F4jfSlnDp1SvPmzdNf//pXnThxQk6n01e9lUqskQYAAPBvnuY1r7e/O2/t2rV6//33tWjRIgUGBurhhx/WU089ZfVyAAAAQIniVZA+ePCg5syZozlz5mjfvn1q2bKlpk+frocfflihoaFF1SMAAADgdzwO0p06ddLq1atVpUoVPf744xo4cKDq1atXlL0BAAAAfsvjIB0cHKxFixapR48eCgwMLMqeAAAAAL/ncZBeunRpUfYBAAAAlCheb38HAAAAgCANAAAAWEKQBgAAACwgSAMAAAAWePRlQ2++aNirVy/LzQAAAAAlhUdB+r777nP72Waz6cI7i9tsNtefuUU4AAAArgceLe3Iy8tzPZYvX67GjRvryy+/1IkTJ5SZmally5apSZMmio+PL+p+AQAAAL/g1S3CJSk2NlazZs1S69atXWNdunRRSEiIBg8erF27dvm0QQAAAMAfef1lw59//lkOh6PAuMPh0P79+33REwAAAOD3vA7Sd9xxh2JjY5WWluYaS09P1+jRo3XnnXf6tDkAAADAX3kdpN9//30dOXJEtWrVUp06dVSnTh3VrFlTaWlp+te//lUUPQIAAAB+x+s10nXq1NH333+vFStWaPfu3TLGqEGDBurYsaPb7h0AAABAaWYzF+5j56WzZ8/KbrcToL2QlZUlh8OhzMxMVahQobjbAQAAwEU8zWteL+3Iy8vT3//+d914440qX7689u3bJ0kaN24cSzsAAABw3fA6SL/88suaM2eOpk6dqqCgINd4w4YN9d577/m0OQAAAMBfeR2kP/roI82ePVv9+/dXYGCga7xRo0bavXu3T5sDAAAA/JXXQTo1NVV16tQpMJ6Xl6fc3FyfNAUAAAD4O6+D9K233qp169YVGP/kk090++23+6QpAAAAwN95vf3d+PHjFRMTo9TUVOXl5SkuLk579uzRRx99pM8//7woegQAAAD8jtcz0j179tTChQu1bNky2Ww2vfjii9q1a5c+++wzderUqSh6BAAAAPyOVzPS586d0yuvvKKBAwdq7dq1RdUTAAAA4Pe8mpEuU6aMXnvtNTmdzqLqBwAAACgRvF7a0bFjR61Zs6YIWgEAAABKDq+/bHjvvfdq7Nix2r59u5o2barQ0FC347169fJZcwAAAIC/shljjDcnBARcehLbZrOx7OMKPL13OwAAAIqHp3nN6xnpvLy8q2oMAAAAKA28XiN9obNnz/qqDwAAAKBE8TpIO51O/f3vf9eNN96o8uXL65dffpEkjRs3Tv/617983iAAAADgj7wO0q+88ormzJmjqVOnKigoyDXesGFDvffeez5tDgAAAPBXXgfpjz76SLNnz1b//v0VGBjoGm/UqJF2797t0+YAAAAAf+V1kE5NTVWdOnUKjOfl5Sk3N9cnTQEAAAD+zusgfeutt2rdunUFxj/55BPdfvvtPmkKAAAA8Hdeb383fvx4xcTEKDU1VXl5eYqLi9OePXv00Ucf6fPPPy+KHgEAAAC/4/WMdM+ePbVw4UItW7ZMNptNL774onbt2qXPPvtMnTp1KooeAQAAAL/j9Z0NcXW4syEAAIB/8zSvXdUNWQAAAIDrlUdrpCtWrCibzebRBX/99deraggAAAAoCTwK0tOmTXP9+fjx43r55ZfVpUsXtWjRQpKUkJCg//3vfxo3blyRNAkAAAD4G6/XSD/wwANq3769hg0b5jY+Y8YMrVy5UkuWLPFlf6UOa6QBAAD8W5Gtkf7f//6nrl27Fhjv0qWLVq5c6e3lAAAAgBLJ6yAdHh6uxYsXFxhfsmSJwsPDfdIUAAAA4O+8viHLxIkT9dRTT2nNmjWuNdIbN25UfHy83nvvPZ83CAAAAPgjr2ekBwwYoA0bNuiGG25QXFycFi1aJIfDoW+++UYDBgwoghZ/N3nyZNlsNsXGxrrGjDGaMGGCoqKiFBwcrHbt2mnHjh1u52VnZ2v48OGqXLmyQkND1atXL6WkpLjVZGRkKCYmRg6HQw6HQzExMTpx4oRbTXJysnr27KnQ0FBVrlxZI0aMUE5OTlG9XAAAAPgxr4J0bm6unnzySVWpUkXz5s3Ttm3b9O2332revHlq3rx5UfUoSdqyZYtmz56tRo0auY1PnTpVb775pmbMmKEtW7YoMjJSnTp10smTJ101sbGxWrx4sRYsWKD169fr1KlT6tGjh5xOp6umX79+SkpKUnx8vOLj45WUlKSYmBjXcafTqe7du+v06dNav369FixYoEWLFmn06NFF+roBAADgp4yXHA6H+fnnn7097aqcPHnS1K1b16xYscK0bdvWjBw50hhjTF5enomMjDRTpkxx1Z49e9Y4HA4za9YsY4wxJ06cMGXLljULFixw1aSmppqAgAATHx9vjDFm586dRpLZuHGjqyYhIcFIMrt37zbGGLNs2TITEBBgUlNTXTXz5883drvdZGZmevxaMjMzjSSvzgEAAMC142le83ppx/3333/Nt7gbOnSounfvro4dO7qN79u3T+np6ercubNrzG63q23bttqwYYMkKTExUbm5uW41UVFRio6OdtUkJCTI4XC4zarfddddcjgcbjXR0dGKiopy1XTp0kXZ2dlKTEy8ZO/Z2dnKyspyewAAAKDk8/rLhnXq1NHf//53bdiwQU2bNlVoaKjb8REjRvisOUlasGCBtm3bpi1bthQ4lp6eLkmqWrWq23jVqlV14MABV01QUJAqVqxYoOb8+enp6YqIiChw/YiICLeai5+nYsWKCgoKctUUZvLkyZo4ceKVXiYAAABKGK+D9HvvvacbbrhBiYmJBWZibTabT4P0wYMHNXLkSC1fvlzlypW7ZN3Fty83xlzxluYX1xRWb6XmYmPHjtWoUaNcP2dlZalGjRqX7Q0AAAD+z+sgvW/fvqLoo1CJiYk6cuSImjZt6hpzOp36+uuvNWPGDO3Zs0dS/mxxtWrVXDVHjhxxzR5HRkYqJydHGRkZbrPSR44cUcuWLV01hw8fLvD8R48edbvOpk2b3I5nZGQoNze3wEz1hex2u+x2u7cvHQAAAH7O6zXS5x07dkzHjx/3ZS8FdOjQQT/88IOSkpJcj2bNmql///5KSkrSH/7wB0VGRmrFihWuc3JycrR27VpXSG7atKnKli3rVpOWlqbt27e7alq0aKHMzExt3rzZVbNp0yZlZma61Wzfvl1paWmumuXLl8tut7sFfQAAAFwfvJqRPnHihF544QUtXLhQGRkZkvLXCT/66KN6+eWXdcMNN/i0ubCwMEVHR7uNhYaGKjw83DUeGxurSZMmqW7duqpbt64mTZqkkJAQ9evXT5LkcDj01FNPafTo0QoPD1elSpU0ZswYNWzY0PXlxfr166tr164aNGiQ3n33XUnS4MGD1aNHD9WrV0+S1LlzZzVo0EAxMTF67bXX9Ouvv2rMmDEaNGjQZe/BDgAAgNLJ4yD966+/qkWLFkpNTVX//v1Vv359GWO0a9cuzZkzR6tWrdKGDRsKfKmvqD377LM6c+aMhgwZooyMDDVv3lzLly9XWFiYq+att95SmTJl9PDDD+vMmTPq0KGD5syZo8DAQFfNvHnzNGLECNfuHr169dKMGTNcxwMDA/XFF19oyJAhatWqlYKDg9WvXz+9/vrr1+7FAgAAwG/YjDHGk8LY2FitWrVKK1euLLAm+PwWdB06dNBbb71VJI2WFllZWXI4HMrMzGQmGwAAwA95mtc8XiO9ZMkSvf7664V+sS4yMlJTp07V4sWLrXULAAAAlDAeB+m0tDTdeuutlzweHR192f2UAQAAgNLE4yBduXJl7d+//5LH9+3bp/DwcF/0BAAAAPg9j4N0165d9cILLygnJ6fAsezsbI0bN05du3b1aXMAAACAv/L4y4YpKSlq1qyZ7Ha7hg4dqltuuUWStHPnTs2cOVPZ2dnaunUrd+27Ar5sCAAA4N88zWseb39XvXp1JSQkaMiQIRo7dqzO52+bzaZOnTppxowZhGgAAABcN7y6IUvt2rX15ZdfKiMjQz/++KMkqU6dOqpUqVKRNAcAAAD4K6+C9HkVK1bUnXfe6eteAAAAgBLD4y8bAgAAAPgdQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALChT3A0AAACg9HI6pXXrpLQ0qVo1qU0bKTCwuLvyDYI0AAAAikRcnDRypJSS8vtY9erS229LffoUX1++wtIOAAAA+FxcnPTgg+4hWpJSU/PH4+KKpy9fIkgDAADAp5zO/JloYwoeOz8WG5tfV5IRpAEAAOBT69YVnIm+kDHSwYP5dSUZQRoAAAA+lZrqWV1aWtH2UdQI0gAAAPCZuLj8ZRueqFatSFspcgRpAAAAXDWnU3rpJemBB6Rjxy5fa7NJNWrkb4VXkrH9HQAAAK5KXJw0YoRnSzpstvx/TptW8veTJkgDAADAsvPb3BW2Q0dhKleWZs1iH2kAAABcxy63zd2lvPVW6QjREkEaAAAAFjid0vTpl9/mrjA33lg0/RQHlnYAAADAK4Xd+vtKbLb824OX9C8YXoggDQAAgMtyOvNvnpKaKq1YIX34obXrlIYvGF6IIA0AAIBLsjL7fLHq1aW33y49a6PPI0gDAACgUN7uyFGYiROlF14oXTPR5xGkAQAAUICVHTkuFhsrvfiiz1ryO+zaAQAAgALWrbu65RyS1Lu3b3rxV8xIAwAAoIC0NOvnlsYdOgpDkAYAAICcTmnVqvwdOfbvl3766equV9p26CiMXy/tmDx5su644w6FhYUpIiJC9913n/bs2eNWY4zRhAkTFBUVpeDgYLVr1047duxwq8nOztbw4cNVuXJlhYaGqlevXkq56HcVGRkZiomJkcPhkMPhUExMjE6cOOFWk5ycrJ49eyo0NFSVK1fWiBEjlJOTUySvHQAA4FqJi5NuuEHq0kX6+GNpwwbpyBFr16pRQ/r009K3Q0dh/DpIr127VkOHDtXGjRu1YsUKnTt3Tp07d9bp06ddNVOnTtWbb76pGTNmaMuWLYqMjFSnTp108uRJV01sbKwWL16sBQsWaP369Tp16pR69Oghp9PpqunXr5+SkpIUHx+v+Ph4JSUlKSYmxnXc6XSqe/fuOn36tNavX68FCxZo0aJFGj169LV5MwAAAIpAXJz0wAPSqVNXd50RI6TVq6V9+66PEC1JMiXIkSNHjCSzdu1aY4wxeXl5JjIy0kyZMsVVc/bsWeNwOMysWbOMMcacOHHClC1b1ixYsMBVk5qaagICAkx8fLwxxpidO3caSWbjxo2umoSEBCPJ7N692xhjzLJly0xAQIBJTU111cyfP9/Y7XaTmZnp8WvIzMw0krw6BwAAoCicO2dMVJQx+XtzWHuEhxuzaFFxvxLf8jSv+fWM9MUyMzMlSZUqVZIk7du3T+np6ercubOrxm63q23bttqwYYMkKTExUbm5uW41UVFRio6OdtUkJCTI4XCoefPmrpq77rpLDofDrSY6OlpRUVGumi5duig7O1uJiYmX7Dk7O1tZWVluDwAAAH+wbp106JD1819/XTp8+Dqagb5IiQnSxhiNGjVKrVu3VnR0tCQpPT1dklS1alW32qpVq7qOpaenKygoSBUrVrxsTURERIHnjIiIcKu5+HkqVqyooKAgV01hJk+e7Fp37XA4VKNGDW9eNgAAQJH573+tn1ulSv4+0aX9C4WXU2KC9LBhw/T9999r/vz5BY7ZbDa3n40xBcYudnFNYfVWai42duxYZWZmuh4HDx68bF8AAADXgtMpvf++9fNnzry+Q7RUQoL08OHDtXTpUq1evVrVq1d3jUdGRkpSgRnhI0eOuGaPIyMjlZOTo4yMjMvWHD58uMDzHj161K3m4ufJyMhQbm5ugZnqC9ntdlWoUMHtAQAAUNzWrJGsrjgdMyb/1uHXO78O0sYYDRs2THFxcfrqq69Uu3Ztt+O1a9dWZGSkVqxY4RrLycnR2rVr1bJlS0lS06ZNVbZsWbeatLQ0bd++3VXTokULZWZmavPmza6aTZs2KTMz061m+/btSrtgd/Lly5fLbreradOmvn/xAAAARWjNGmvnjR4tvfaaT1spsfz6hixDhw7Vxx9/rP/+978KCwtzzQg7HA4FBwfLZrMpNjZWkyZNUt26dVW3bl1NmjRJISEh6tevn6v2qaee0ujRoxUeHq5KlSppzJgxatiwoTp27ChJql+/vrp27apBgwbp3XfflSQNHjxYPXr0UL169SRJnTt3VoMGDRQTE6PXXntNv/76q8aMGaNBgwYxywwAAEqclSu9q69QQXrvPemhh4qmnxKpyPcPuQqSCn188MEHrpq8vDwzfvx4ExkZaex2u7n77rvNDz/84HadM2fOmGHDhplKlSqZ4OBg06NHD5OcnOxWc/z4cdO/f38TFhZmwsLCTP/+/U1GRoZbzYEDB0z37t1NcHCwqVSpkhk2bJg5e/asV6+J7e8AAEBx693b8+3t+vY1ZuXK/K3yrhee5jWbMcYUX4y//mRlZcnhcCgzM5OZbAAAcM0tXCg9+qhnteHh+dvbXW9fKvQ0r/n1GmkAAAD4jtMpDRzoef2IEddfiPYGQRoAAOA6sWaN9NtvntfXrVtkrZQKBGkAAIDrxKxZ3tVXq1Y0fZQWBGkAAIDrgNMpff655/XVq0tt2hRdP6UBQRoAAOA6sGaNdPas5/Vvv8366CshSAMAAFwHVq3yvPaTT6Q+fYqul9LCr2/IAgAAgKs3erT05pue1T7wALf/9hRBGgAAoBS74w5p61bP6//856LrpbRhaQcAAEAp1auXdyG6QgWpXbsia6fUIUgDAACUQgsXSp995t05nTvzBUNvEKQBAABKGadTGjzY+/NuucX3vZRmBGkAAIBSZt06KSvL+/NY1uEdgjQAAEApk5bm/Tnh4QRpbxGkAQAAShGnU3rnHe/Pmz2b9dHeIkgDAACUEnFxUrly+Us7PGW3S4sWcQMWK9hHGgAAoBSIi8u/mYo3WrfOv3U4M9HWMCMNAABQwjmd3odoKX9NNCHaOoI0AABACXfjjdbO48uFV4elHQAAACVYRIR09Kj354WEEKSvFjPSAAAAJVTt2tZCtCR98AHLOq4WQRoAAKAEeuYZaf9+a+f26CE9/LBP27kusbQDAACghPnDH6R9+6yf+9lnvu3nesWMNAAAQAlSp471EN2zp/Tzz77t53rGjDQAAEAJ8ec/Ww/Cx49LlSr5tp/rHUEaAACgBLjzTmnLFmvn9upFiC4KLO0AAADwc6NGWQ/RzZpJ//2vb/tBPoI0AACAH0tNld56y9q5d9xhPYDjyljaAQAA4KccDikry9q5AQFSQoJv+4E7gjQAAIAfstmu7vxPPuGGK0WNpR0AAAB+5mpD9KJFUp8+vukFl8aMNAAAgJ84c0YKCbF+ftmy+ddgJvraYEYaAADAD9xzz9WFaJtNyskhRF9LzEgDAAAUo6NHpYiIq79OXt7VXwPeIUgDAAAUk7Aw6dSpq79OdvbVXwPeY2kHAADANZaamr8Uwxch+i9/kYKCrv468B4z0gAAANdQUJCUm+uba/3lL9LUqb65FrxHkAYAALgGnE6pjI+Sl92ef6MWZqKLF0s7AAAAilhcnO9CdOXK0tmzhGh/QJAGAAAoQvPmSQ884JtrBQXl7/IB/8DSDgAAgCLSrJmUmOiba1WpIh054ptrwTcI0gAAAEWgcmXp+HHfXOv4calSJd9cC77D0g4AAAAfWrEif2s7X4ToWbMkYwjR/ooZaQAAAB+x2Xx3rXPnuN23v2NGGgAA4Cr99JPvQnRKSv4sNCHa/zEjDQAAcBV8OQttjO+uhaLHjDQAAIAFe/b4LkTfcw8huiQiSAMAAHjJZpNuucU31xo5Ulq1yjfXwrVFkAYAAPDQ/Pm+Xcrxl79I06b57nq4tlgjDQAAcAVvvy3Fxvr2mtnZ3Oa7pCNIAwAAXMLo0dKbb/r+uqyHLh0I0gAAABe5/35pyZKiuTYhuvRgjTQAAICkf/87f/2zzVY0IXrrVkJ0acOMNAAAuG59+KE0YEDRPkeDBtKOHUX7HCgeBGkAAHDdSE+XqlW7ds938qRUvvy1ez5cWyztAAAApdoLL/y+ZONahmhjCNGlHTPSAACg1ImOLr7lFD/+KNWpUzzPjWuLGWkAAFAqzJv3+8xzcYVoYwjR1xNmpAEAQInmcEhZWcXbw4EDUs2axdsDrj1mpAEAQInTqNHvs8/FGaLnzs2fhSZEX5+YkQYAACWGzVbcHeSLi8u/aQuubwRpAADg1/wlPEvSunVS69bF3QX8BUEaAAD4HX8Kzzab9PPPUu3axd0J/A1rpAEAgF84v+bZX0L0ww/nr3/OyyNEo3DMSAMAgGLhL4H5Qh06SCtXFncXKCmYkQYAAEXquefcZ5v9ada5fPn8WefzD0I0vMGMNAAA8Bl/CciXU7Nm/r7PwNViRhoAAHitsBlmfw7RLVv+PutMiIavMCMNAAAuyZ/DsSeMKe4OUJoxIw0AwHXsUjPL/j7DfDlRUb/PPgNFiRlpAABKoZIagq8GwRnXGjPSAAD4uSvNGpeWmWQr3n+f2WcUH2akAQC4wPUUQksygjP8AUG6FHM6pXXrpLQ0qVo1qU0bKTDQs5oLxyMi8muPHPn9z+np0tGjUni4dPy4+z+PHs1/JCe7/x9dXp507Jh05oxUrlz+scOHpVOnfq8xJv/4mTPSuXO/jzmd+Q8AwPWr1ITnC/9i45EfEDype/NNqW/f4v703BCkLZg5c6Zee+01paWl6dZbb9W0adPUpk2b4m7LTVycNHKklJLy+1j16tLbb0t9+ly+pm9faf5893EAwPXIKEB5CpSzWB4NbnZq7LMXBKkZfhD6rjYMOp2l6L8IrrHTp4u7gwJsxvBpemPhwoWKiYnRzJkz1apVK7377rt67733tHPnTtWsWfOK52dlZcnhcCgzM1MVKlQokh7j4qQHHyz4v9Pzv6789NP8fxZWAwAl0++BrziDX0l/FHzv8or7g70+BQTk/3q4ND188Zpq1JAqVbomH4GneY0g7aXmzZurSZMmeuedd1xj9evX13333afJkydf8fyiDtJOp3TTTZeeTbbZpBtvzP8zM85A8bB5EPQIg94+CHzFIU82y59YdKNSEu6KoicW6hc7T/MaSzu8kJOTo8TERD3//PNu4507d9aGDRsKPSc7O1vZ2dmun7Oysoq0x3XrLh+QjSFAwxvGx7NbPMrIWdwf6nXrXLF/+ld+5Cmg2Hvw5iF5FviYskNpRZD2wrFjx+R0OlW1alW38apVqyo9Pb3QcyZPnqyJEydei/Yk5X858PpUtOv4rtdAGCD+9isOTj8KUyUt2F3qYdjt9ZogMON6Q5C2wHbRr1yMMQXGzhs7dqxGjRrl+jkrK0s1atQost6qVfv9zzcqRc216f8FotIeBPm1bnG4ml/rWv+kS0ewu9zr83SWDyguBGYgH0HaC5UrV1ZgYGCB2ecjR44UmKU+z263y263X4v2JOVvX1e9upSaKrUy32ihHr1mz+3viurXuqU92F3uQeADSieCMuAZgrQXgoKC1LRpU61YsUL333+/a3zFihXq3bt3MXb2u8DA/C3uHnxQOqoIfaOWBcLPbbcHygQEalNi8Qexa/Xg17oAQEAGfI0g7aVRo0YpJiZGzZo1U4sWLTR79mwlJyfrmWeeKe7WXPr0yd/ibuTI9mqd8o1rvEYNado0KfL/7SOdFyfFXrSPdI0a0qOPso80APg7QjFQ/Nj+zoKZM2dq6tSpSktLU3R0tN566y3dfffdHp17LfaRPs/pFHc2BAAf4G9K4PrCPtJ+6loGaQAAAHjP07zGwlEAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAVliruB640xRpKUlZVVzJ0AAACgMOdz2vncdikE6Wvs5MmTkqQaNWoUcycAAAC4nJMnT8rhcFzyuM1cKWrDp/Ly8nTo0CGFhYXJZrMVdzslXlZWlmrUqKGDBw+qQoUKxd0OLOAzLPn4DEs2Pr+Sj8/Q94wxOnnypKKiohQQcOmV0MxIX2MBAQGqXr16cbdR6lSoUIH/8yjh+AxLPj7Dko3Pr+TjM/Sty81En8eXDQEAAAALCNIAAACABQRplGh2u13jx4+X3W4v7lZgEZ9hycdnWLLx+ZV8fIbFhy8bAgAAABYwIw0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIodbKzs9W4cWPZbDYlJSUVdzvw0P79+/XUU0+pdu3aCg4O1h//+EeNHz9eOTk5xd0aLmPmzJmqXbu2ypUrp6ZNm2rdunXF3RI8NHnyZN1xxx0KCwtTRESE7rvvPu3Zs6e424JFkydPls1mU2xsbHG3cl0hSKPUefbZZxUVFVXcbcBLu3fvVl5ent59913t2LFDb731lmbNmqW//vWvxd0aLmHhwoWKjY3VCy+8oG+//VZt2rTRvffeq+Tk5OJuDR5Yu3athg4dqo0bN2rFihU6d+6cOnfurNOnTxd3a/DSli1bNHv2bDVq1Ki4W7nusP0dSpUvv/xSo0aN0qJFi3Trrbfq22+/VePGjYu7LVj02muv6Z133tEvv/xS3K2gEM2bN1eTJk30zjvvuMbq16+v++67T5MnTy7GzmDF0aNHFRERobVr1+ruu+8u7nbgoVOnTqlJkyaaOXOmXn75ZTVu3FjTpk0r7rauG8xIo9Q4fPiwBg0apH//+98KCQkp7nbgA5mZmapUqVJxt4FC5OTkKDExUZ07d3Yb79y5szZs2FBMXeFqZGZmShL/mythhg4dqu7du6tjx47F3cp1qUxxNwD4gjFGAwYM0DPPPKNmzZpp//79xd0SrtLPP/+s6dOn64033ijuVlCIY8eOyel0qmrVqm7jVatWVXp6ejF1BauMMRo1apRat26t6Ojo4m4HHlqwYIG2bdumLVu2FHcr1y1mpOHXJkyYIJvNdtnH1q1bNX36dGVlZWns2LHF3TIu4ulneKFDhw6pa9eueuihh/T0008XU+fwhM1mc/vZGFNgDP5v2LBh+v777zV//vzibgUeOnjwoEaOHKm5c+eqXLlyxd3OdYs10vBrx44d07Fjxy5bc9NNN+nRRx/VZ5995vYXuNPpVGBgoPr3768PP/ywqFvFJXj6GZ7/i+DQoUNq3769mjdvrjlz5igggP/e90c5OTkKCQnRJ598ovvvv981PnLkSCUlJWnt2rXF2B28MXz4cC1ZskRff/21ateuXdztwENLlizR/fffr8DAQNeY0+mUzWZTQECAsrOz3Y6haBCkUSokJycrKyvL9fOhQ4fUpUsXffrpp2revLmqV69ejN3BU6mpqWrfvr2aNm2quXPn8peAn2vevLmaNm2qmTNnusYaNGig3r1782XDEsAYo+HDh2vx4sVas2aN6tatW9wtwQsnT57UgQMH3MaefPJJ3XLLLXruuedYonONsEYapULNmjXdfi5fvrwk6Y9//CMhuoQ4dOiQ2rVrp5o1a+r111/X0aNHXcciIyOLsTNcyqhRoxQTE6NmzZqpRYsWmj17tpKTk/XMM88Ud2vwwNChQ/Xxxx/rv//9r8LCwlxr2x0Oh4KDg4u5O1xJWFhYgbAcGhqq8PBwQvQ1RJAG4BeWL1+un376ST/99FOB//jhF2f+6ZFHHtHx48f10ksvKS0tTdHR0Vq2bJlq1apV3K3BA+e3LWzXrp3b+AcffKABAwZc+4aAEoilHQAAAIAFfIsHAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgCu0v79+2Wz2ZSUlFTcrXjlpptu0rRp03x2vXbt2ik2NtZn1ysONptNS5YskVRyP1cA1w5BGgAuw2azXfZREm6lPGfOHN1www0Fxrds2aLBgwdf+4b8wIQJE9S4ceMC42lpabr33nuvfUMASqQyxd0AAPiztLQ0158XLlyoF198UXv27HGNBQcHKyMjozhak9PplM1mU0CAtTmRKlWq+Lijki8yMrK4WwBQgjAjDQCXERkZ6Xo4HA7ZbLYCY+f98ssvat++vUJCQnTbbbcpISHB7VobNmzQ3XffreDgYNWoUUMjRozQ6dOnXcczMjL0+OOPq2LFigoJCdG9996rH3/80XX8/Mzy559/rgYNGshut+vAgQPKycnRs88+qxtvvFGhoaFq3ry51qxZI0las2aNnnzySWVmZrpm0SdMmCCp4NKOEydOaPDgwapatarKlSun6Ohoff7555Kk48ePq2/fvqpevbpCQkLUsGFDzZ8/3+v3c8qUKapatarCwsL01FNP6fnnn3ebGS5sech9993nNvM/d+5cNWvWTGFhYYqMjFS/fv105MgR1/E1a9bIZrNp1apVatasmUJCQtSyZUvXfwDNmTNHEydO1Hfffed6T+bMmSPJfWlHYXbu3Klu3bqpfPnyqlq1qmJiYnTs2DHX8U8//VQNGzZUcHCwwsPD1bFjR7fPGEDpQpAGAB954YUXNGbMGCUlJenmm29W3759de7cOUnSDz/8oC5duqhPnz76/vvvtXDhQq1fv17Dhg1znT9gwABt3bpVS5cuVUJCgowx6tatm3Jzc101v/32myZPnqz33ntPO3bsUEREhJ588kl98803WrBggb7//ns99NBD6tq1q3788Ue1bNlS06ZNU4UKFZSWlqa0tDSNGTOmQO95eXm69957tWHDBs2dO1c7d+7UlClTFBgYKEk6e/asmjZtqs8//1zbt2/X4MGDFRMTo02bNnn8/vznP//R+PHj9corr2jr1q2qVq2aZs6c6fX7nJOTo7///e/67rvvtGTJEu3bt6/QJTYvvPCC3njjDW3dulVlypTRwIEDJUmPPPKIRo8erVtvvdX1njzyyCNXfN60tDS1bdtWjRs31tatWxUfH6/Dhw/r4Ycfdh3v27evBg4cqF27dmnNmjXq06ePjDFev0YAJYQBAHjkgw8+MA6Ho8D4vn37jCTz3nvvucZ27NhhJJldu3YZY4yJiYkxgwcPdjtv3bp1JiAgwJw5c8bs3bvXSDLffPON6/ixY8dMcHCw+c9//uN6fkkmKSnJVfPTTz8Zm81mUlNT3a7doUMHM3bs2Mv2XatWLfPWW28ZY4z53//+ZwICAsyePXs8fj+6detmRo8e7fq5bdu2ZuTIkZesb9GihXnmmWfcxpo3b25uu+22y16jd+/e5oknnrjkdTdv3mwkmZMnTxpjjFm9erWRZFauXOmq+eKLL4wkc+bMGWOMMePHj3d73vMkmcWLFxtjfv9cv/32W2OMMePGjTOdO3d2qz948KCRZPbs2WMSExONJLN///5L9gqgdGFGGgB8pFGjRq4/V6tWTZJcSw4SExM1Z84clS9f3vXo0qWL8vLytG/fPu3atUtlypRR8+bNXdcIDw9XvXr1tGvXLtdYUFCQ2/Ns27ZNxhjdfPPNbtdeu3atfv75Z497T0pKUvXq1XXzzTcXetzpdOqVV15Ro0aNFB4ervLly2v58uVKTk72+Dl27dqlFi1auI1d/LMnvv32W/Xu3Vu1atVSWFiY2rVrJ0kFernc52FFYmKiVq9e7fY+33LLLZKkn3/+Wbfddps6dOighg0b6qGHHtI///nPYls/D+Da4MuGAOAjZcuWdf3ZZrNJyl8ycf6ff/rTnzRixIgC59WsWVN79+4t9JrGGNe1pPwvN174c15engIDA5WYmOhahnFe+fLlPe49ODj4ssffeOMNvfXWW5o2bZoaNmyo0NBQxcbGKicnx+Pn8ERAQECBpRAXLm05ffq0OnfurM6dO2vu3LmqUqWKkpOT1aVLlwK9XO7zsCIvL089e/bUq6++WuBYtWrVFBgYqBUrVmjDhg1avny5pk+frhdeeEGbNm1S7dq1LT8vAP9FkAaAa6BJkybasWOH6tSpU+jxBg0a6Ny5c9q0aZNatmwpKf8Lfnv37lX9+vUved3bb79dTqdTR44cUZs2bQqtCQoKktPpvGx/jRo1UkpKivbu3VvorPS6devUu3dvPfbYY5LyQ+WPP/542d4uVr9+fW3cuFGPP/64a2zjxo1uNVWqVHHbKcXpdGr79u1q3769JGn37t06duyYpkyZoho1akiStm7d6nEP53nynlysSZMmWrRokW666SaVKVP4X582m02tWrVSq1at9OKLL6pWrVpavHixRo0a5XWPAPwfSzsA4Bp47rnnlJCQoKFDhyopKUk//vijli5dquHDh0uS6tatq969e2vQoEFav369vvvuOz322GO68cYb1bt370te9+abb1b//v31+OOPKy4uTvv27dOWLVv06quvatmyZZLyd+c4deqUVq1apWPHjum3334rcJ22bdvq7rvv1gMPPKAVK1Zo3759+vLLLxUfHy9JqlOnjmu2ddeuXfrTn/6k9PR0r96DkSNH6v3339f777+vvXv3avz48dqxY4dbzT333KMvvvhCX3zxhXbv3q0hQ4boxIkTruM1a9ZUUFCQpk+frl9++UVLly7V3//+d6/6OP+e7Nu3T0lJSTp27Jiys7OveM7QoUP166+/qm/fvtq8ebN++eUXLV++XAMHDpTT6dSmTZs0adIkbd26VcnJyYqLi9PRo0e9+o8NACULQRoAroFGjRpp7dq1+vHHH9WmTRvdfvvtGjdunGvtriR98MEHatq0qXr06KEWLVrIGKNly5a5LVEozAcffKDHH39co0ePVr169dSrVy9t2rTJNWPbsmVLPfPMM3rkkUdUpUoVTZ06tdDrLFq0SHfccYf69u2rBg0a6Nlnn3XN2o4bN05NmjRRly5d1K5dO0VGRuq+++7z6j145JFH9OKLL+q5555T06ZNdeDAAf35z392qxk4cKCeeOIJPf7442rbtq1q167tmo2W8mes58yZo08++UQNGjTQlClT9Prrr3vVhyQ98MAD6tq1q9q3b68qVap4tJVfVFSUvvnmGzmdTnXp0kXR0dEaOXKkHA6HAgICVKFCBX399dfq1q2bbr75Zv3tb3/TG2+8wQ1egFLMZi5ejAYAwDUyYcIELVmyhNtwAyiRmJEGAAAALCBIAwAAABawtAMAAACwgBlpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAX/P8ShdhFKxcG/AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.stats as stats\n", + "import numpy as np\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "stats.probplot(df['price'], dist=\"norm\", plot=plt)\n", + "plt.title('QQ Plot for Product Prices')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "558c6af1-7ae2-40c9-a128-a9d10d421df2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(df['stars'], df['price'], alpha=0.5)\n", + "plt.title('Relationship between Product Rating and Price')\n", + "plt.xlabel('Product Rating (Stars)')\n", + "plt.ylabel('Price')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a6b118e2-7b14-43a1-982c-0e93e09dc580", + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}