K_FOLD_CROSS_VALIDATION.ipynb

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   "cell_type": "code",
   "execution_count": 1,
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   "outputs": [],
   "source": [
    "import graphlab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def polynomial_sframe(feature, degree):\n",
    "    poly_sframe = graphlab.SFrame()\n",
    "    poly_sframe[\"power_1\"]=feature\n",
    "    if degree > 1:\n",
    "        for power in range(2, degree+1):\n",
    "            name = 'power_' + str(power)\n",
    "            poly_sframe[name]=poly_sframe[\"power_1\"].apply(lambda x:x**power)\n",
    "    return poly_sframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sales = graphlab.SFrame('kc_house_data.gl/')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sales = sales.sort(['sqft_living','price'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "l2_small_penalty = 1e-5\n",
    "poly_15_data = polynomial_sframe(sales['sqft_living'],15)\n",
    "my_features = poly_15_data.column_names()\n",
    "poly_15_data['price']=sales['price']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
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       "<pre>Linear regression:</pre>"
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       "Linear regression:"
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       "<pre>--------------------------------------------------------</pre>"
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       "--------------------------------------------------------"
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       "<pre>Number of examples          : 21613</pre>"
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       "Number of examples          : 21613"
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       "<pre>Number of features          : 15</pre>"
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       "Number of features          : 15"
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       "<pre>Number of unpacked features : 15</pre>"
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       "Number of unpacked features : 15"
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      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
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       "Number of coefficients    : 16"
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       "<pre>Starting Newton Method</pre>"
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       "Starting Newton Method"
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       "--------------------------------------------------------"
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       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
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       "+-----------+----------+--------------+--------------------+---------------+"
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       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
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       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
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       "<pre>| 1         | 2        | 1.401081     | 2662555.738027     | 245656.462165 |</pre>"
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       "| 1         | 2        | 1.401081     | 2662555.738027     | 245656.462165 |"
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       "<pre>SUCCESS: Optimal solution found.</pre>"
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       "SUCCESS: Optimal solution found."
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       "<pre></pre>"
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   "source": [
    "model_1 = graphlab.linear_regression.create(poly_15_data, target='price',features=my_features,validation_set=None,l2_penalty=l2_small_penalty)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
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    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">name</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">index</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">value</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">stderr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">(intercept)</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">167924.857726</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">103.090951289</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0.13460455096</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-0.000129071363752</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5.18928955754e-08</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-7.77169299595e-12</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_6</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.71144842837e-16</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.51177958161e-20</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-4.78839816249e-25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">power_9</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-2.33343499941e-28</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">nan</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[16 rows x 4 columns]<br/>Note: Only the head of the SFrame is printed.<br/>You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n",
       "</div>"
      ],
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       "Columns:\n",
       "\tname\tstr\n",
       "\tindex\tstr\n",
       "\tvalue\tfloat\n",
       "\tstderr\tfloat\n",
       "\n",
       "Rows: 16\n",
       "\n",
       "Data:\n",
       "+-------------+-------+--------------------+--------+\n",
       "|     name    | index |       value        | stderr |\n",
       "+-------------+-------+--------------------+--------+\n",
       "| (intercept) |  None |   167924.857726    |  nan   |\n",
       "|   power_1   |  None |   103.090951289    |  nan   |\n",
       "|   power_2   |  None |   0.13460455096    |  nan   |\n",
       "|   power_3   |  None | -0.000129071363752 |  nan   |\n",
       "|   power_4   |  None | 5.18928955754e-08  |  nan   |\n",
       "|   power_5   |  None | -7.77169299595e-12 |  nan   |\n",
       "|   power_6   |  None | 1.71144842837e-16  |  nan   |\n",
       "|   power_7   |  None | 4.51177958161e-20  |  nan   |\n",
       "|   power_8   |  None | -4.78839816249e-25 |  nan   |\n",
       "|   power_9   |  None | -2.33343499941e-28 |  nan   |\n",
       "+-------------+-------+--------------------+--------+\n",
       "[16 rows x 4 columns]\n",
       "Note: Only the head of the SFrame is printed.\n",
       "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns."
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "model_1.coefficients"
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   "execution_count": 19,
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    "collapsed": true
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   "source": [
    "(semi_split1, semi_split2) = sales.random_split(.5,seed=0)\n",
    "(set_1, set_2) = semi_split1.random_split(0.5, seed=0)\n",
    "(set_3, set_4) = semi_split2.random_split(0.5, seed=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "set_1_poly_15 = polynomial_sframe(set_1['sqft_living'],15)\n",
    "set_2_poly_15 = polynomial_sframe(set_2['sqft_living'],15)\n",
    "set_3_poly_15 = polynomial_sframe(set_3['sqft_living'],15)\n",
    "set_4_poly_15 = polynomial_sframe(set_4['sqft_living'],15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
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   "source": [
    "set_1_features = set_1_poly_15.column_names()\n",
    "set_1_poly_15['price'] = set_1['price']\n",
    "\n",
    "set_2_features = set_2_poly_15.column_names()\n",
    "set_2_poly_15['price'] = set_2['price']\n",
    "\n",
    "set_3_features = set_3_poly_15.column_names()\n",
    "set_3_poly_15['price'] = set_3['price']\n",
    "\n",
    "set_4_features = set_4_poly_15.column_names()\n",
    "set_4_poly_15['price'] = set_4['price']"
   ]
  },
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   "cell_type": "code",
   "execution_count": 29,
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       "Linear regression:"
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       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
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       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
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       "| 1         | 2        | 0.032002     | 2191984.900939     | 248699.117254 |"
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       "<pre>SUCCESS: Optimal solution found.</pre>"
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       "SUCCESS: Optimal solution found."
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       "Linear regression:"
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       "<pre>Number of coefficients    : 16</pre>"
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       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
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      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
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    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.053003     | 1975178.190682     | 234533.610645 |</pre>"
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      "text/plain": [
       "| 1         | 2        | 0.053003     | 1975178.190682     | 234533.610645 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
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      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
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    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
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      "text/html": [
       "<pre>Linear regression:</pre>"
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      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
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    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5409</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5409"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
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    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
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    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
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       "Starting Newton Method"
      ]
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    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.022001     | 2283722.683933     | 251097.728054 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.022001     | 2283722.683933     | 251097.728054 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
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     },
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    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
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      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5402</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5402"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
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      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.030002     | 2378292.371612     | 244341.293203 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.030002     | 2378292.371612     | 244341.293203 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
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     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
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   ],
   "source": [
    "model_set_1 = graphlab.linear_regression.create(set_1_poly_15,target='price',features=set_1_features,validation_set=None,l2_penalty=l2_small_penalty)\n",
    "model_set_2 = graphlab.linear_regression.create(set_2_poly_15,target='price',features=set_2_features,validation_set=None,l2_penalty=l2_small_penalty)\n",
    "model_set_3 = graphlab.linear_regression.create(set_3_poly_15,target='price',features=set_3_features,validation_set=None,l2_penalty=l2_small_penalty)\n",
    "model_set_4 = graphlab.linear_regression.create(set_4_poly_15,target='price',features=set_3_features,validation_set=None,l2_penalty=l2_small_penalty)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-------------+-------+---------------+---------------+\n",
      "|     name    | index |     value     |     stderr    |\n",
      "+-------------+-------+---------------+---------------+\n",
      "| (intercept) |  None | 9306.46397814 | 835063.417729 |\n",
      "|   power_1   |  None |  585.86581347 | 3484.52405144 |\n",
      "+-------------+-------+---------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+----------------+---------------+\n",
      "|     name    | index |     value      |     stderr    |\n",
      "+-------------+-------+----------------+---------------+\n",
      "| (intercept) |  None | -25115.9059869 | 1675771.52039 |\n",
      "|   power_1   |  None | 783.493802508  | 9984.85507514 |\n",
      "+-------------+-------+----------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+----------------+--------+\n",
      "|     name    | index |     value      | stderr |\n",
      "+-------------+-------+----------------+--------+\n",
      "| (intercept) |  None | 462426.565731  |  nan   |\n",
      "|   power_1   |  None | -759.251842854 |  nan   |\n",
      "+-------------+-------+----------------+--------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+----------------+---------------+\n",
      "|     name    | index |     value      |     stderr    |\n",
      "+-------------+-------+----------------+---------------+\n",
      "| (intercept) |  None | -170240.034791 | 1417346.17184 |\n",
      "|   power_1   |  None | 1247.59035088  | 8978.28059127 |\n",
      "+-------------+-------+----------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print model_set_1.coefficients[:2]\n",
    "print model_set_2.coefficients[:2]\n",
    "print model_set_3.coefficients[:2]\n",
    "print model_set_4.coefficients[:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2cf09400>,\n",
       " <matplotlib.lines.Line2D at 0x2cf09978>]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2cbed9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(set_1_poly_15['power_1'],set_1_poly_15['price'],'.',\n",
    "        set_1_poly_15['power_1'], model_set_1.predict(set_1_poly_15),'-')\n",
    "plt.plot(set_2_poly_15['power_1'],set_2_poly_15['price'],'.',\n",
    "        set_2_poly_15['power_1'], model_set_2.predict(set_2_poly_15),'-')\n",
    "plt.plot(set_3_poly_15['power_1'],set_3_poly_15['price'],'.',\n",
    "        set_3_poly_15['power_1'], model_set_3.predict(set_3_poly_15),'-')\n",
    "plt.plot(set_4_poly_15['power_1'],set_4_poly_15['price'],'.',\n",
    "        set_4_poly_15['power_1'], model_set_4.predict(set_4_poly_15),'-')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5404</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5404"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.486028     | 5978778.434729     | 374261.720860 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.486028     | 5978778.434729     | 374261.720860 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5398</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5398"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.090005     | 2984894.541944     | 323238.809634 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.090005     | 2984894.541944     | 323238.809634 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5409</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5409"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.082004     | 3695342.767093     | 350033.521294 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.082004     | 3695342.767093     | 350033.521294 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 5402</pre>"
      ],
      "text/plain": [
       "Number of examples          : 5402"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 15</pre>"
      ],
      "text/plain": [
       "Number of features          : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 15</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 16</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.110007     | 3601895.280124     | 323111.582889 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.110007     | 3601895.280124     | 323111.582889 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set1_ridge_model = graphlab.linear_regression.create(set_1_poly_15,target='price',features=set_1_features,validation_set=None,l2_penalty=1e5)\n",
    "set2_ridge_model = graphlab.linear_regression.create(set_2_poly_15,target='price',features=set_2_features,validation_set=None,l2_penalty=1e5)\n",
    "set3_ridge_model = graphlab.linear_regression.create(set_3_poly_15,target='price',features=set_3_features,validation_set=None,l2_penalty=1e5)\n",
    "set4_ridge_model = graphlab.linear_regression.create(set_4_poly_15,target='price',features=set_3_features,validation_set=None,l2_penalty=1e5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x3198acc0>,\n",
       " <matplotlib.lines.Line2D at 0x31998278>]"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d38fb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(set_1_poly_15['power_1'],set_1_poly_15['price'],\".\",set_1_poly_15['power_1'],set1_ridge_model.predict(set_1_poly_15),\"-\")\n",
    "plt.plot(set_2_poly_15['power_1'],set_2_poly_15['price'],\".\",set_2_poly_15['power_1'],set2_ridge_model.predict(set_2_poly_15),\"-\")\n",
    "plt.plot(set_3_poly_15['power_1'],set_3_poly_15['price'],\".\",set_3_poly_15['power_1'],set3_ridge_model.predict(set_3_poly_15),\"-\")\n",
    "plt.plot(set_4_poly_15['power_1'],set_4_poly_15['price'],\".\",set_4_poly_15['power_1'],set4_ridge_model.predict(set_4_poly_15),\"-\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-------------+-------+---------------+---------------+\n",
      "|     name    | index |     value     |     stderr    |\n",
      "+-------------+-------+---------------+---------------+\n",
      "| (intercept) |  None | 530317.024516 |  1256668.1989 |\n",
      "|   power_1   |  None | 2.58738875673 | 5243.78205387 |\n",
      "+-------------+-------+---------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+---------------+---------------+\n",
      "|     name    | index |     value     |     stderr    |\n",
      "+-------------+-------+---------------+---------------+\n",
      "| (intercept) |  None | 519216.897383 | 2309581.08725 |\n",
      "|   power_1   |  None | 2.04470474182 | 13761.3225669 |\n",
      "+-------------+-------+---------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+---------------+--------+\n",
      "|     name    | index |     value     | stderr |\n",
      "+-------------+-------+---------------+--------+\n",
      "| (intercept) |  None | 522911.518048 |  nan   |\n",
      "|   power_1   |  None | 2.26890421877 |  nan   |\n",
      "+-------------+-------+---------------+--------+\n",
      "[2 rows x 4 columns]\n",
      "\n",
      "+-------------+-------+---------------+---------------+\n",
      "|     name    | index |     value     |     stderr    |\n",
      "+-------------+-------+---------------+---------------+\n",
      "| (intercept) |  None | 513667.087087 | 1874267.58319 |\n",
      "|   power_1   |  None | 1.91040938244 | 11872.6819173 |\n",
      "+-------------+-------+---------------+---------------+\n",
      "[2 rows x 4 columns]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print set1_ridge_model.coefficients[:2]\n",
    "print set2_ridge_model.coefficients[:2]\n",
    "print set3_ridge_model.coefficients[:2]\n",
    "print set4_ridge_model.coefficients[:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "(train_valid, test) = sales.random_split(.9, seed=1)\n",
    "train_valid_shuffled = graphlab.toolkits.cross_validation.shuffle(train_valid, random_seed=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total length 19396 \n",
      "\n",
      "0 (0, 1938)\n",
      "1 (1939, 3878)\n",
      "2 (3879, 5817)\n",
      "3 (5818, 7757)\n",
      "4 (7758, 9697)\n",
      "5 (9698, 11636)\n",
      "6 (11637, 13576)\n",
      "7 (13577, 15515)\n",
      "8 (15516, 17455)\n",
      "9 (17456, 19395)\n"
     ]
    }
   ],
   "source": [
    "n = len(train_valid_shuffled)\n",
    "print \"Total length\", n , \"\\n\"\n",
    "k = 10\n",
    "\n",
    "for i in xrange(k):\n",
    "    start = (n*i)/k\n",
    "    end = (n*(i+1)/k)-1\n",
    "    print i, (start, end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">id</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">date</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">price</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bedrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bathrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">floors</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">waterfront</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2780400035</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-05-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">665000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2800.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5900</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1703050500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-03-21 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">645000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2490.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5978</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5700002325</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-06-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">640000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2340.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4206</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0475000510</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-18 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">594000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1320.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0844001052</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-01-28 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">365000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1904.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2781280290</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-04-27 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">305000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3516</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2214800630</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">239950.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8280</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2114700540</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-10-21 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">366000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1320.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4320</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2596400050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-07-30 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">375000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1960.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7955</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4140900050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-01-26 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">440000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2180.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">view</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">condition</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">grade</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_above</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_basement</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_built</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_renovated</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">zipcode</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">lat</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1140</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1963</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98115</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.68093246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2490</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2003</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98074</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.62984888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1170</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1170</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1917</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98144</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.57587004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1090</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">230</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1920</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98107</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.66737217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1904</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1999</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98010</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.31068733</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2006</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98055</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.44911017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1979</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98001</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.33933392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1918</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98106</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.53271982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1260</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">700</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1963</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98177</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.76407345</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">180</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1966</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98028</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.76382378</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.28583258</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2580.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5900.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.02177564</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2710.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6629.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.28796</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1360.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4725.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.36472902</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1700.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.0012452</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">12426.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.1878086</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3056.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.25864364</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1920.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8120.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.34716948</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1190.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.36361517</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1850.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8219.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.27022456</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2590.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10445.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[10 rows x 21 columns]<br/>\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tfloat\n",
       "\tbedrooms\tfloat\n",
       "\tbathrooms\tfloat\n",
       "\tsqft_living\tfloat\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: 10\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "|     id     |            date           |  price   | bedrooms | bathrooms |\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "| 2780400035 | 2014-05-05 00:00:00+00:00 | 665000.0 |   4.0    |    2.5    |\n",
       "| 1703050500 | 2015-03-21 00:00:00+00:00 | 645000.0 |   3.0    |    2.5    |\n",
       "| 5700002325 | 2014-06-05 00:00:00+00:00 | 640000.0 |   3.0    |    1.75   |\n",
       "| 0475000510 | 2014-11-18 00:00:00+00:00 | 594000.0 |   3.0    |    1.0    |\n",
       "| 0844001052 | 2015-01-28 00:00:00+00:00 | 365000.0 |   4.0    |    2.5    |\n",
       "| 2781280290 | 2015-04-27 00:00:00+00:00 | 305000.0 |   3.0    |    2.5    |\n",
       "| 2214800630 | 2014-11-05 00:00:00+00:00 | 239950.0 |   3.0    |    2.25   |\n",
       "| 2114700540 | 2014-10-21 00:00:00+00:00 | 366000.0 |   3.0    |    2.5    |\n",
       "| 2596400050 | 2014-07-30 00:00:00+00:00 | 375000.0 |   3.0    |    1.0    |\n",
       "| 4140900050 | 2015-01-26 00:00:00+00:00 | 440000.0 |   4.0    |    1.75   |\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "| sqft_living | sqft_lot | floors | waterfront | view | condition | grade | sqft_above |\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "|    2800.0   |   5900   |   1    |     0      |  0   |     3     |   8   |    1660    |\n",
       "|    2490.0   |   5978   |   2    |     0      |  0   |     3     |   9   |    2490    |\n",
       "|    2340.0   |   4206   |   1    |     0      |  0   |     5     |   7   |    1170    |\n",
       "|    1320.0   |   5000   |   1    |     0      |  0   |     4     |   7   |    1090    |\n",
       "|    1904.0   |   8200   |   2    |     0      |  0   |     5     |   7   |    1904    |\n",
       "|    1610.0   |   3516   |   2    |     0      |  0   |     3     |   8   |    1610    |\n",
       "|    1560.0   |   8280   |   2    |     0      |  0   |     4     |   7   |    1560    |\n",
       "|    1320.0   |   4320   |   1    |     0      |  0   |     3     |   6   |    660     |\n",
       "|    1960.0   |   7955   |   1    |     0      |  0   |     4     |   7   |    1260    |\n",
       "|    2180.0   |  10200   |   1    |     0      |  2   |     3     |   8   |    2000    |\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "| sqft_basement | yr_built | yr_renovated | zipcode |     lat     |\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "|      1140     |   1963   |      0       |  98115  | 47.68093246 |\n",
       "|       0       |   2003   |      0       |  98074  | 47.62984888 |\n",
       "|      1170     |   1917   |      0       |  98144  | 47.57587004 |\n",
       "|      230      |   1920   |      0       |  98107  | 47.66737217 |\n",
       "|       0       |   1999   |      0       |  98010  | 47.31068733 |\n",
       "|       0       |   2006   |      0       |  98055  | 47.44911017 |\n",
       "|       0       |   1979   |      0       |  98001  | 47.33933392 |\n",
       "|      660      |   1918   |      0       |  98106  | 47.53271982 |\n",
       "|      700      |   1963   |      0       |  98177  | 47.76407345 |\n",
       "|      180      |   1966   |      0       |  98028  | 47.76382378 |\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "+---------------+---------------+-----+\n",
       "|      long     | sqft_living15 | ... |\n",
       "+---------------+---------------+-----+\n",
       "| -122.28583258 |     2580.0    | ... |\n",
       "| -122.02177564 |     2710.0    | ... |\n",
       "|   -122.28796  |     1360.0    | ... |\n",
       "| -122.36472902 |     1700.0    | ... |\n",
       "|  -122.0012452 |     1560.0    | ... |\n",
       "|  -122.1878086 |     1610.0    | ... |\n",
       "| -122.25864364 |     1920.0    | ... |\n",
       "| -122.34716948 |     1190.0    | ... |\n",
       "| -122.36361517 |     1850.0    | ... |\n",
       "| -122.27022456 |     2590.0    | ... |\n",
       "+---------------+---------------+-----+\n",
       "[10 rows x 21 columns]"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_valid_shuffled[0:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "validation4 = train_valid_shuffled[((n*3/k)):((n*4/k))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">id</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">date</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">price</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bedrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bathrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">floors</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">waterfront</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2780400035</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-05-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">665000.0</td>\n",
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       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1703050500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-03-21 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">645000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2490.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5978</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
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       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5700002325</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-06-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">640000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2340.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4206</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0475000510</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-18 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">594000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1320.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0844001052</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-01-28 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">365000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1904.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2781280290</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-04-27 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">305000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610.0</td>\n",
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       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2214800630</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">239950.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8280</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2114700540</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-10-21 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">366000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1320.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4320</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2596400050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-07-30 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">375000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1960.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7955</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4140900050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-01-26 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">440000.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2180.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">view</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">condition</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">grade</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_above</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_basement</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_built</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_renovated</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">zipcode</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">lat</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1140</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1963</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98115</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.68093246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2490</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2003</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98074</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.62984888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1170</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1170</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1917</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98144</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.57587004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1090</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">230</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1920</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98107</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.66737217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1904</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1999</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98010</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.31068733</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2006</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98055</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.44911017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1979</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98001</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.33933392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">660</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1918</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98106</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.53271982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1260</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">700</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1963</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98177</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.76407345</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">180</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1966</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98028</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.76382378</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.28583258</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2580.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5900.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.02177564</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2710.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6629.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.28796</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1360.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4725.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.36472902</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1700.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.0012452</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1560.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">12426.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.1878086</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1610.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3056.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.25864364</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1920.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8120.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.34716948</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1190.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.36361517</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1850.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8219.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.27022456</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2590.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10445.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[17455 rows x 21 columns]<br/>Note: Only the head of the SFrame is printed.<br/>You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tfloat\n",
       "\tbedrooms\tfloat\n",
       "\tbathrooms\tfloat\n",
       "\tsqft_living\tfloat\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: 17455\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "|     id     |            date           |  price   | bedrooms | bathrooms |\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "| 2780400035 | 2014-05-05 00:00:00+00:00 | 665000.0 |   4.0    |    2.5    |\n",
       "| 1703050500 | 2015-03-21 00:00:00+00:00 | 645000.0 |   3.0    |    2.5    |\n",
       "| 5700002325 | 2014-06-05 00:00:00+00:00 | 640000.0 |   3.0    |    1.75   |\n",
       "| 0475000510 | 2014-11-18 00:00:00+00:00 | 594000.0 |   3.0    |    1.0    |\n",
       "| 0844001052 | 2015-01-28 00:00:00+00:00 | 365000.0 |   4.0    |    2.5    |\n",
       "| 2781280290 | 2015-04-27 00:00:00+00:00 | 305000.0 |   3.0    |    2.5    |\n",
       "| 2214800630 | 2014-11-05 00:00:00+00:00 | 239950.0 |   3.0    |    2.25   |\n",
       "| 2114700540 | 2014-10-21 00:00:00+00:00 | 366000.0 |   3.0    |    2.5    |\n",
       "| 2596400050 | 2014-07-30 00:00:00+00:00 | 375000.0 |   3.0    |    1.0    |\n",
       "| 4140900050 | 2015-01-26 00:00:00+00:00 | 440000.0 |   4.0    |    1.75   |\n",
       "+------------+---------------------------+----------+----------+-----------+\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "| sqft_living | sqft_lot | floors | waterfront | view | condition | grade | sqft_above |\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "|    2800.0   |   5900   |   1    |     0      |  0   |     3     |   8   |    1660    |\n",
       "|    2490.0   |   5978   |   2    |     0      |  0   |     3     |   9   |    2490    |\n",
       "|    2340.0   |   4206   |   1    |     0      |  0   |     5     |   7   |    1170    |\n",
       "|    1320.0   |   5000   |   1    |     0      |  0   |     4     |   7   |    1090    |\n",
       "|    1904.0   |   8200   |   2    |     0      |  0   |     5     |   7   |    1904    |\n",
       "|    1610.0   |   3516   |   2    |     0      |  0   |     3     |   8   |    1610    |\n",
       "|    1560.0   |   8280   |   2    |     0      |  0   |     4     |   7   |    1560    |\n",
       "|    1320.0   |   4320   |   1    |     0      |  0   |     3     |   6   |    660     |\n",
       "|    1960.0   |   7955   |   1    |     0      |  0   |     4     |   7   |    1260    |\n",
       "|    2180.0   |  10200   |   1    |     0      |  2   |     3     |   8   |    2000    |\n",
       "+-------------+----------+--------+------------+------+-----------+-------+------------+\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "| sqft_basement | yr_built | yr_renovated | zipcode |     lat     |\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "|      1140     |   1963   |      0       |  98115  | 47.68093246 |\n",
       "|       0       |   2003   |      0       |  98074  | 47.62984888 |\n",
       "|      1170     |   1917   |      0       |  98144  | 47.57587004 |\n",
       "|      230      |   1920   |      0       |  98107  | 47.66737217 |\n",
       "|       0       |   1999   |      0       |  98010  | 47.31068733 |\n",
       "|       0       |   2006   |      0       |  98055  | 47.44911017 |\n",
       "|       0       |   1979   |      0       |  98001  | 47.33933392 |\n",
       "|      660      |   1918   |      0       |  98106  | 47.53271982 |\n",
       "|      700      |   1963   |      0       |  98177  | 47.76407345 |\n",
       "|      180      |   1966   |      0       |  98028  | 47.76382378 |\n",
       "+---------------+----------+--------------+---------+-------------+\n",
       "+---------------+---------------+-----+\n",
       "|      long     | sqft_living15 | ... |\n",
       "+---------------+---------------+-----+\n",
       "| -122.28583258 |     2580.0    | ... |\n",
       "| -122.02177564 |     2710.0    | ... |\n",
       "|   -122.28796  |     1360.0    | ... |\n",
       "| -122.36472902 |     1700.0    | ... |\n",
       "|  -122.0012452 |     1560.0    | ... |\n",
       "|  -122.1878086 |     1610.0    | ... |\n",
       "| -122.25864364 |     1920.0    | ... |\n",
       "| -122.34716948 |     1190.0    | ... |\n",
       "| -122.36361517 |     1850.0    | ... |\n",
       "| -122.27022456 |     2590.0    | ... |\n",
       "+---------------+---------------+-----+\n",
       "[17455 rows x 21 columns]\n",
       "Note: Only the head of the SFrame is printed.\n",
       "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns."
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train4 = train_valid_shuffled[0:((n*3)/k)-1]\n",
    "secnd_segment = train_valid_shuffled[(n*4)/k:n]\n",
    "train4.append(secnd_segment)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
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   "outputs": [],
   "source": [
    "def k_fold_cross_validation(k, l2_penalty, data, output_name, features_list):\n",
    "    valid_error = 0\n",
    "    n = len(data)\n",
    "    for i in xrange(k):\n",
    "        start = (n*i)/k\n",
    "        end = (n*(i+1)/k)-1\n",
    "        \n",
    "        validation_set = data[start:end+1]\n",
    "        training_set = data[0:start].append(data[end+1:n])\n",
    "        \n",
    "        trained_model = graphlab.linear_regression.create(training_set,target=output_name,features = features_list,\n",
    "                                                          validation_set=None,l2_penalty=l2_penalty)\n",
    "        \n",
    "        predictions = trained_model.predict(validation_set)\n",
    "        error = validation_set['price'] - predictions\n",
    "        validation_set[output_name]\n",
    "        valid_error += sum((error)**2)\n",
    "        \n",
    "    avg_validation_error = valid_error / k\n",
    "    return avg_validation_error"
   ]
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     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{100000.0: 229361431260422.75, 316227.76601683791: 252940568728599.8, 100.0: 160908965822178.2, 3162.2776601683795: 123950009289897.55, 31.622776601683793: 287504229919124.06, 1000.0: 121192264451214.84, 10.0: 491826427768997.0, 31622.776601683792: 171728094842297.3, 10000.0: 136837175247518.97, 3162277.6601683791: 262819399742234.16, 316.2277660168379: 122090967326083.6, 1000000.0: 258682548441132.5, 10000000.0: 264889015377543.8}\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "new_data = polynomial_sframe(train_valid_shuffled['sqft_living'], 15)\n",
    "features_list = new_data.column_names()\n",
    "new_data['price'] = train_valid_shuffled['price']\n",
    "avg_validation = {}\n",
    "\n",
    "for l2_penalty in np.logspace(1,7, num=13):\n",
    "    avg_valid = k_fold_cross_validation(10,l2_penalty,new_data,'price',features_list)\n",
    "    avg_validation[l2_penalty] = avg_valid\n",
    "print avg_validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{10.0: 491826427768997.0,\n",
       " 31.622776601683793: 287504229919124.06,\n",
       " 100.0: 160908965822178.2,\n",
       " 316.2277660168379: 122090967326083.6,\n",
       " 1000.0: 121192264451214.84,\n",
       " 3162.2776601683795: 123950009289897.55,\n",
       " 10000.0: 136837175247518.97,\n",
       " 31622.776601683792: 171728094842297.3,\n",
       " 100000.0: 229361431260422.75,\n",
       " 316227.76601683791: 252940568728599.8,\n",
       " 1000000.0: 258682548441132.5,\n",
       " 3162277.6601683791: 262819399742234.16,\n",
       " 10000000.0: 264889015377543.8}"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minavg_validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000.0 \n",
      "1.21192264451e+14\n"
     ]
    }
   ],
   "source": [
    "min_error = min(avg_validation.values())\n",
    "for k in avg_validation.keys():\n",
    "    if avg_validation[k] == min_error:\n",
    "        print k ,\"\\n\", min_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">Validation_error</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">l2_penalty</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.2936143126e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">100000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.52940568729e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">316227.766017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.60908965822e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">100.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.2395000929e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3162.27766017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.87504229919e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">31.6227766017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.21192264451e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.91826427769e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.71728094842e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">31622.7766017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.36837175248e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">10000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.62819399742e+14</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3162277.66017</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[13 rows x 2 columns]<br/>Note: Only the head of the SFrame is printed.<br/>You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tValidation_error\tfloat\n",
       "\tl2_penalty\tfloat\n",
       "\n",
       "Rows: 13\n",
       "\n",
       "Data:\n",
       "+-------------------+---------------+\n",
       "|  Validation_error |   l2_penalty  |\n",
       "+-------------------+---------------+\n",
       "|  2.2936143126e+14 |    100000.0   |\n",
       "| 2.52940568729e+14 | 316227.766017 |\n",
       "| 1.60908965822e+14 |     100.0     |\n",
       "|  1.2395000929e+14 | 3162.27766017 |\n",
       "| 2.87504229919e+14 | 31.6227766017 |\n",
       "| 1.21192264451e+14 |     1000.0    |\n",
       "| 4.91826427769e+14 |      10.0     |\n",
       "| 1.71728094842e+14 | 31622.7766017 |\n",
       "| 1.36837175248e+14 |    10000.0    |\n",
       "| 2.62819399742e+14 | 3162277.66017 |\n",
       "+-------------------+---------------+\n",
       "[13 rows x 2 columns]\n",
       "Note: Only the head of the SFrame is printed.\n",
       "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns."
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "errors = graphlab.SArray(avg_validation.values())\n",
    "l2_penalty  = graphlab.SArray(avg_validation.keys())\n",
    "\n",
    "formatted = graphlab.SFrame({'l2_penalty':l2_penalty, 'Validation_error':errors})\n",
    "formatted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x319ab438>"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2cbd3748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(formatted['l2_penalty'], formatted['Validation_error'],'ro')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('l2 penalty')\n",
    "plt.ylabel('Validation error')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "poly_train = polynomial_sframe(train_valid_shuffled['sqft_living'],15)\n",
    "my_features = poly_train.column_names()\n",
    "poly_train['price'] = train_valid_shuffled['price']\n",
    "ridge_model = graphlab.linear_regression.create(poly_train,target=\"price\",features=my_features,validation_set=None,l2_penalty=1000,verbose=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.28780855058e+14'"
      ]
     },
     "execution_count": 204,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_test = polynomial_sframe(test['sqft_living'],15) \n",
    "predict = ridge_model.predict(poly_test) \n",
    "error = predict - test['price']\n",
    "rss = sum((error)**2)\n",
    "format(rss)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}