Skip to content

Instantly share code, notes, and snippets.

@deepanshumehtaa
Created February 14, 2020 01:34
Show Gist options
  • Save deepanshumehtaa/f06e988b7d8f7b9269f70565e79a7630 to your computer and use it in GitHub Desktop.
Save deepanshumehtaa/f06e988b7d8f7b9269f70565e79a7630 to your computer and use it in GitHub Desktop.
Linear_Regression_cdac.ipynb
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Linear_Regression_cdac.ipynb",
"provenance": [],
"collapsed_sections": [
"KIdYAucoVSe1"
],
"authorship_tag": "ABX9TyMFFgBoPWrjXP7gUHMG7AdE",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/deepanshumehtaa/f06e988b7d8f7b9269f70565e79a7630/linear_regression_cdac.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "byd5GW1V5-w7",
"colab_type": "code",
"outputId": "fddab3a5-7e5c-4aff-b16a-7448101e7d6a",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 272
}
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sb\n",
"import sklearn as sk\n",
"\n",
"url = 'https://raw.githubusercontent.com/deepanshumehtaa/csvfiles/master/USA_Housing.csv'\n",
"df = pd.read_csv(url, index_col=0, delimiter=',')\n",
"df = df.reset_index()\n",
"df.head(5)\n"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Avg. Area Income</th>\n",
" <th>Avg. Area House Age</th>\n",
" <th>Avg. Area Number of Rooms</th>\n",
" <th>Avg. Area Number of Bedrooms</th>\n",
" <th>Area Population</th>\n",
" <th>Price</th>\n",
" <th>Address</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>79545.458574</td>\n",
" <td>5.682861</td>\n",
" <td>7.009188</td>\n",
" <td>4.09</td>\n",
" <td>23086.800503</td>\n",
" <td>1.059034e+06</td>\n",
" <td>208 Michael Ferry Apt. 674\\nLaurabury, NE 3701...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>79248.642455</td>\n",
" <td>6.002900</td>\n",
" <td>6.730821</td>\n",
" <td>3.09</td>\n",
" <td>40173.072174</td>\n",
" <td>1.505891e+06</td>\n",
" <td>188 Johnson Views Suite 079\\nLake Kathleen, CA...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>61287.067179</td>\n",
" <td>5.865890</td>\n",
" <td>8.512727</td>\n",
" <td>5.13</td>\n",
" <td>36882.159400</td>\n",
" <td>1.058988e+06</td>\n",
" <td>9127 Elizabeth Stravenue\\nDanieltown, WI 06482...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>63345.240046</td>\n",
" <td>7.188236</td>\n",
" <td>5.586729</td>\n",
" <td>3.26</td>\n",
" <td>34310.242831</td>\n",
" <td>1.260617e+06</td>\n",
" <td>USS Barnett\\nFPO AP 44820</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>59982.197226</td>\n",
" <td>5.040555</td>\n",
" <td>7.839388</td>\n",
" <td>4.23</td>\n",
" <td>26354.109472</td>\n",
" <td>6.309435e+05</td>\n",
" <td>USNS Raymond\\nFPO AE 09386</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Avg. Area Income ... Address\n",
"0 79545.458574 ... 208 Michael Ferry Apt. 674\\nLaurabury, NE 3701...\n",
"1 79248.642455 ... 188 Johnson Views Suite 079\\nLake Kathleen, CA...\n",
"2 61287.067179 ... 9127 Elizabeth Stravenue\\nDanieltown, WI 06482...\n",
"3 63345.240046 ... USS Barnett\\nFPO AP 44820\n",
"4 59982.197226 ... USNS Raymond\\nFPO AE 09386\n",
"\n",
"[5 rows x 7 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZwZbOBw9DG7I",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 434
},
"outputId": "9cbf7313-e967-407a-8eef-214f126f9e36"
},
"source": [
"sb.heatmap(df.isnull())"
],
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fd96a502588>"
]
},
"metadata": {
"tags": []
},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAGQCAYAAACj5GcZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PLOes8H7_xkJ",
"colab_type": "text"
},
"source": [
"# Loss Function wali"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kKi9p83E63nF",
"colab_type": "code",
"outputId": "02f24b35-a06a-4d29-de15-593b9524ac10",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 638
}
},
"source": [
"df.info()\n",
"sb.heatmap(df.corr(), annot= True)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 5000 entries, 0 to 4999\n",
"Data columns (total 7 columns):\n",
"Avg. Area Income 5000 non-null float64\n",
"Avg. Area House Age 5000 non-null float64\n",
"Avg. Area Number of Rooms 5000 non-null float64\n",
"Avg. Area Number of Bedrooms 5000 non-null float64\n",
"Area Population 5000 non-null float64\n",
"Price 5000 non-null float64\n",
"Address 5000 non-null object\n",
"dtypes: float64(6), object(1)\n",
"memory usage: 273.6+ KB\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f0febc18c50>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAfEAAAGQCAYAAAC+mlmCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSQlxAJiUEAeASa2shuW9vHaXNAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "AaZir6Cn6rZx",
"colab_type": "code",
"outputId": "f9405d60-7634-4d43-8d4d-6f3211eaa080",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
}
},
"source": [
"# Plot scatter graph between the price and best suited column\n",
"\n",
"sb.jointplot(x='Avg. Area Income',y='Price',data=df)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x7f0feb736b00>"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAcQAAAGoCAYAAADYaZU+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0\ndHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3df5xddX3v+9dndnZgD1ZmojkeGIgE\nyg2ShiSSI9G05xTaEpSiU0GQ4pH2eEvPVe8tudzchtZHEyo9TptjtT1tbWnlihUkSOgYBY3W4G0b\nC5o4CTFKjkF+blGjyYBNBrIz8z1/7LUma/astfZae9b+tfb7+XjMg5m1115r7ZmwP/v7XZ/P52vO\nOURERHpdX7svQEREpBMoIIqIiKCAKCIiAiggioiIAAqIIiIiAMxr9wV0AaXhikjeWLsvoBNphCgi\nIoICooiICKApU5FcuefRZ2Zt+/VLFrXhSkS6j0aIIiIiKCCKiIgAmjIVyb2waVTQVKpILY0QRURE\nANNqF3XpFyQdJ2rUlwWNHHuC6hBDaIQoIiKCAqKIiAigpBoRqaFaRulVCogiLdbM+38i0jhNmYqI\niKARoogkoFpG6QUaIYqIiKCAKCIiAiggioiIAAqIIiIigJJqRJpKJRYi3UMjRBERERQQRUREAE2Z\nisgcqD5R8kQjRBERERQQRUREAE2ZimRC2aQi3U8jRBERERQQRUREADDnXLuvodPpFyTTNDXaOGWe\ndhRr9wV0Io0QRUREUEAUEREBFBBFREQAlV2ISIuoq410Oo0QRUREUEAUEREBFBBFREQA3UMUiaSa\nQ5HeooAoIm0V9sFDiTbSDpoyFRERQSNEEU2NigigEaKIiAiggCgiIgJotYsk9AvKEU2P5pOScFLT\nahchdA9RckmBT0TS0pSpiIgICogiIiKApkxFJAdU3C9Z0AhRREQEBUQRERFAU6bSRZQ5KiLNpIAo\nIrkU9QFK9xYligKidByNBKUdlJgj6lRTn35BTaLAJ90qB4FSnWpCaIQomVKQE5FupRFifQ39gvJ0\n/0JBTqQzzeH9RCPEEAqIdZjZF4FXZ3zYVwM/zviY3aJXX3uvvm7Qa+/E1/5j59wV7b6ITqOA2AZm\ntss5t6rd19EOvfrae/V1g157r772bqTCfBERERQQRUREAAXEdrmj3RfQRr362nv1dYNeu3QJ3UMU\nERFBI0QRERFAAVFERARQQBQREQEUEEVERAAFxLquuOIKR7V9m770pS995eUrkRy//4VSQKzjxz/u\nxK5LIiLN12vvfwqIIiIiKCCKiIgACogiIiKAAqKIiAiggCgiIgIoIIqIiABNDIhmdraZPWxm3zaz\n/Wb2O972TWZWNrM93tdbAs+51cwOmtkBM1sb2H6Ft+2gmW0IbF9sZo9627eY2Xxv+ynezwe9x8+p\ndw4REeltzRwhngBucc5dCKwG3mdmF3qPfcQ5t8L7egjAe+ydwFLgCuCvzKxgZgXgL4E3AxcC1weO\n88fesX4WOAK8x9v+HuCIt/0j3n6R52jer0BERLpF0wKic+5559w3ve9/CnwHGIp5ytuAe51zLzvn\nngQOAm/wvg46577nnDsO3Au8zcwMuAy433v+XcBw4Fh3ed/fD/ySt3/UOUREpMe15B6iN2W5EnjU\n2/R+M3vMzO40s0Fv2xDwbOBpz3nbora/Chh3zp2o2T7jWN7jL3j7Rx2r9npvMrNdZrbr0KFDqV+v\niEi36uX3v6YHRDN7BbAVuNk59yLwMeA8YAXwPPDhZl9DWs65O5xzq5xzqxYuXNjuyxGRBo2OlVkz\nsoPFGx5kzcgORsfK7b6kjtfL73/zmnlwMytSDYZ3O+ceAHDO/TDw+N8Cn/d+LANnB55+lreNiO0/\nAQbMbJ43Cgzu7x/rOTObB5zu7R93DhHJkdGxMrc+sI+JyiQA5fEJbn1gHwDDK+Pu3kivamaWqQEf\nB77jnPvTwPYzArv9GvAt7/ttwDu9DNHFwPnA14FvAOd7GaXzqSbFbHPOOeBh4Brv+TcCnw0c60bv\n+2uAHd7+UecQkZzZvP3AdDD0TVQm2bz9QJuuSDpdM0eIa4D/DOwzsz3ett+jmiW6guoSHE8Bvw3g\nnNtvZvcB36aaofo+59wkgJm9H9gOFIA7nXP7veP9LnCvmd0OjFENwHj//XszOwgcphpEY88hIvny\n/fGJVNtltsNHj7f7ElqqaQHROfcvgIU89FDMc/4I+KOQ7Q+FPc859z1CskSdcy8B70hzDhHJlzMH\nSpRDgt+ZA6U2XI10A3WqEZFcWr92CaXizDLjUrHA+rVL2nRF0umamlQjItIufuLM5u0H+P74BGcO\nlFi/dokSaiSSAqKI5NbwyiEFQElMU6YiIiIoIIqIiAAKiCIiIoDuIYqItMToWFkJPh1OAVFEpMnU\nRq47aMpURKTJ1EauOyggiog0mdrIdQcFRBGRJotqF6c2cp1F9xBFpCPkOelk/dolM+4hwtzayOX5\nd9VOCogi0nadlHTSjGCTZRu5Tvpd5Y0Cooi0XVzSSSvf5JsZbLJqI9cpv6s80j1EEWm7Tkk66YZs\n0E75XeWRRogi0jb+9KSLeDyrpJOk06DdEGy0zmPzaIQoIm3hT0+GvblDdmsXBs/jODkNOjpWnrVv\nN2SDap3H5lFAFJG2CJue9A0NlPjQ25c1/Z5brUaCzehYmTUjO1i84UHWjOwIDbRZGl45xIfevoyh\ngRJGtr+rXqcpUxFpi6hpSAN2brgs9fGipkXTTIOmzQZtV8an1nlsDgVEEWmLLO+FxQWmtOdJE2yU\n8ZkvCogi0hZzKVavHQ0eO34iMjBdesFC7n7kmRmJO1ndc+uGJBxJTgFRRNqi0WL1sNFglPL4BFt3\nl2cEQwOuvjibKUdlfOaLAqJIDnVLa69G7oXFJePUKpjN2tcBn370We5+5Jk5/26ybskm7aUsU5Gc\nSVNm0I2STkeWigUmXXiF46RzmfxueiHj855Hn2n3JbSMAqJIznRDt5W5iJqOHCgVZwWmoQRTl/V+\nN/XKKoZXDrFzw2V85LoVAKzbsqcl5ReSPU2ZiuRM3hM9oqYpN711aejIrHbfMFG/m6RlFWq4nQ8K\niCI5062JHknve6ZJxqndt88sdBrV/93UXsPRl6OzV4PnU/lFPiggiuRMNyZ6pB1hpUnGCQbF8vgE\nBqElGGmyV2tHlHkflfcKBUSRnMly7b165prN6j8/LPhkNcKqDXQOpoPiUOCa14zsSJy9Wjva7tZR\nucykgCiSQ61o7TXX+2a1zw+TxQgrbDrTD4Z+i7jRsXLsiDAobLTdjaNymU1ZpiLSkLlmsyapJ8xi\nhFVvOtMPzHEKZrFlFb1QftELNEIUkYbM9b5Zvf2yGmHVm85MEpinnOPJkStj91HD7e6ngCgiDZnr\nfbOo58PMe3vB+4wFL0t0KMX9ynrTmUkCuO4F9gYFRBFpyFzvm0U9PzjVWHuf0S+Z8O9X7nr6MA8/\nfig2qadeklFcYPYdO36C0bGyRoA5p4AoIg2ZSzarP+qbqEzGjvripjMnKpMzVrGIS+qJm84MC8y1\njhyrqNC+ByggiuRIq5t6N3LfLGzUFxxZrhnZMX399UZutSX2jZRq+Pvect/eyN6njR5buouyTEVy\noluaekdlp/7eA4+xbsueGddvDRy/kVKN4ZVDTMUEw7kcOw96pcG3RogiOdGM9mHNGHFGBZVjlalZ\n24JF9LWitp9eKs4YZSa95qQj0jUjO7j0goV1711K99EIUSQnktTbxa3aUKtZI860GZt+ET1U6wHx\nfn7TeQtCR5DjE5WGrnn92iWUioW6+5XHJ/jUI890/Ehc0tMIUSQn4sogGukqEzXivOW+vazbsqfu\nyChqdJkkiSUo2FEmeOxbH9gXOkKsFRwlx414k95LrHcO6V4KiCI5EVcG0ch0atSIs7b0AZgVbAb6\ni/zbSyeoTIXvCzOzU48dP8GRY5VZ5zLvddVKUkxf+1qSfihIGwyD55DupoAokhNxZRDrtuwJfU7c\nm3iSe2rBVm3BYBMW3IIBuDY7NayvqQE3rF4UGrDTBp8zB0p1PxQkaeFW7xzS3RQQRXIkqgyiXleZ\nsKnEpFOb5fGJxCO2qECWtqYxSbD2+aPkeh8K0o46w86RV79+yaJ2X0JLKKlGJEeiEmfCEkZq1wGs\nTRIBZjSs9hNaahnxawcG+VmaYQkowyuH2LnhMp4cuZKdGy6bFQyDr+3oyycoFqKLMvxHgk22o0Zw\n/va4Uee7Vi+a0bi79mc18s4HjRBFciLJPbKwEVjYOoD+VGIwMI2OlVm3Zc+sRBYH091mkki7TFTY\naxufqFDsM06bX+Do8eo2M3COyD6n9VrNRY06hwZK3D68LNF1SnfTCFEkJ+otxxQ1Aku6asXwyqHI\nrM5J51IV0adZJgrCX1tlynHs+Mltzp0crW7efmDWKLTeEk1xo2jpDRohiuREo8sxpVm1YihmFJV0\n2jTpdfniFu8NG61C9Cg0rtVcmvuYrW6RJ62hgCiSE40uxxQ2leiPtNaM7JjxZl+vtCNNUKzX9WV0\nrMxtn9sfmrGaRJLawLDAVlvzGPactDWd0h0UEEVyotHlmIIjI79/aNRIK24UtevpwzNWn0jC7/oS\n/Nlf1mnr7nLDWZ++uFFoXGADZgTjgVKRTW9dyvDKodQ1nRpNdg9zDRah1j2w2dnAJ4HXUP3/6w7n\n3J+Z2QJgC3AO8BRwrXPuiJkZ8GfAW4BjwG84577pHetG4APeoW93zt3lbb8Y+ARQAh4Cfsc55xo5\nR5RVq1a5Xbt2zfn3IdIKc33zXTOyI3SUN1Aqsmfj5ZHnqi3Er1UsGKfNn8f4RLLRXpoknTiD/UX6\n588L/X3Evdajx09QmZx5/mKfsfkdy0MTi6A6qn5y5MoZ28LqK2vXfGyTRLd8z33dRe72T3x+xrac\nlGCEvv5mJtWcAG5xzl0IrAbeZ2YXAhuArzjnzge+4v0M8GbgfO/rJuBjAF5w2whcArwB2Ghmg95z\nPgb8VuB5V3jbU51DpJsFyxE2bz/A+rVLIksX6okaUY1PVGYkqdSWahw5VokMhoP9RTZfs5w9Gy9P\nnHiTRTAsFox/e+lEZM/RuNdaGwyhmsSzefuBuuUbQfUSnaSzNC0gOuee90dfzrmfAt8BhoC3AXd5\nu90FDHvfvw34pKt6BBgwszOAtcCXnXOHnXNHgC8DV3iPvdI594irDnM/WXOsNOcQ6UpZN+COu98Y\nfBNPU8T+4sQJ1m3Zw5qRHfTPr988G6JrHusZ7C9OZ5CeNn/erCAdDEaNdJb5/vhEqmzURhOdpD1a\nUnZhZucAK4FHgdc45573HvoB1SlVqAbLZwNPe87bFrf9uZDtNHCO2uu9ycx2mdmuQ4cOJXuRIm2Q\n9Qgk7n5j8E08zRv6pHPTwfro8WRB9PpLzo4cTRb7qtOXtdact4D++SfTIqKmZ/1rT7q6RdCZA6W6\n5Ru1+0cdp1MF3/9+On643ZfTUk0PiGb2CmArcLNz7sXgY97Irjk3MedwDufcHc65Vc65VQsXLmzS\nlYnMXdYjkOGVQwz2F0Mf6zObHnk28w19oFTk9uFlvOm8BeE7mHHdG86e1Tnmm8+8kGhxYf/ag4Et\nqUsvWMiakR3TbeA+ct2K2KnpbqxtDL7//cxAxN8gp5oaEM2sSDUY3u2ce8Db/EN/mtL774+87WXg\n7MDTz/K2xW0/K2R7I+cQ6UrNGIFsvGppaFu0See49YF9fGB0H8eOn2j4+HFKxQKb3rqU0bEy33zm\nhdB9KpOOhx8/NN1kYP3aJXz60WdnjZTDPgXXBiO/WUHSCdqtu8uppqfTjCal/ZpWduFldH4c+I5z\n7k8DD20DbgRGvP9+NrD9/WZ2L9UEmhecc8+b2XbgvwUSaS4HbnXOHTazF81sNdWp2HcD/6ORc2T9\n2kWyUi9rNE2pRaoM1Ig5lYnKZOrSiqSCpQ1h7eSCgoser/9MsvULB/uLbLxq6axVNjZvP5D49aRd\nQgvimwF0o3serZbJ5CTbdIZm1iGuAf4zsM/M/Dbzv0c1SN1nZu8Bngau9R57iGo5xEGqJRG/CeAF\nvg8C3/D2+0PnnD+x/V5Oll18wfsi7TlEOlGSAvCk3VWijrXr6cOziuI3bz8QmTEK4bHSIrancdop\n86YL8usV+PtF/T96cYLKVLLj98+fV3fJqUakmZ5WTWJna1pAdM79C9G1Lr8Usr8D3hdxrDuBO0O2\n7wJ+LmT7T9KeQ6TTJFm/L/jm+pHrVkS+uUYdq7YoPqrGrp4sRoz+Ir7rP7M30f5zbRWXdrmnqNrI\npNPT6nDT+dTcW6RDxSXMhJVbrNuyh3Nqln2qd6xaTc1wq8NfxDdudDrX48PJus24gBqWCHP9JWfP\nKUFGNYmdTwFRpEPFJcyEvbnWtlsLBsW0STaNVQE2zg8szazPu/SChTM+SETxE19qE2FuH17G1RcP\nTddIFsy4+uLk9wdVk9j5FBBFOlRYyr7fdLvedGHtyGP92iWhtXtR/DUOW6XeIr5ZePjxQ3WnSf3A\nHLZU1uhYma27y9PTppPOsXV3OXEThG6sSew1au4t0gHiki3Cmm4nERx5DK8cSr1yxKRzFPusaVOY\nQTdv2cPm7Qe49IKFM+5rZqneSKx2YeHav8nhoy8zUZPBkyTL1Ndo8/VO5WebQn4yThUQRTLUSBZh\nvWQLvwwhbRJJ7chjvIFllFoRDH3l8Qm27q4/2iqYMeUcA/1FXjhWIWGS6fTvI2o9R3/Zp9GxMpu2\n7Z/R6Sbud590yjPNeovSHgqIIhlpNIswyXJC9d50a0ePYSOP00vFxKtNtMtEZZI+g7g4POUcN6xe\nxMOPH0o84jVOtqULK7U4dvzE9NRn2lKM4AePeh+I8laTmDcKiCIZSbtOni9JskXU4r/+yKbeG/Ho\nWJmjTeouk7V6g1IHqaZVDbhh9aIZv4/aEeCRYxXWbdnDvD4S1zX6/ECrsorup4AokpFGswiTrHRf\n7/5TvZHH5u0HQpc0yjszuOGSRdw+vGx6m7/Ib+1o2ZE+GA72F2dMhTbygUg6h7JMRTLSaBZhkgbQ\nc+2JmdfU/nqrVThHaCZoFr8PP2t3sVf7GXWfMa+/+zzSCFEkI41mESZNtkh7/8mfRk2bjNNNktzr\nCxulRY3Ko/QZvPHcBTz1kwm+Pz7B6aUiR4+fmL6HGZcFrLKK7qGAKJKhU+b1Tb9JhzWTjpJFskXw\nPqL/hh03TVoqFji12JeqFKNblccnWLzhwekPG+vXLknVpm7KwTefeWF6VL5mZEfolGuS5KY8uufR\nZ3JReqEpU5EM+AkVwTfJl9LekMrg/H4rt/GJSmwwLJjxobcvY+NVS1Mvktutgks2QTXRJo1gs4Oo\naVAHWuqpi2mEKJKBViZUhGWUpm1UPeXcjOu6ecuemL3ba7C/mOko1v+77NxwGZ/f+3yqUpTy+ARr\nRnZElrAE6xml+yggimSgVX0qR8fKrL9/7/Torzw+MePnpPrMWLzhQQb6iyRYSrAtCmZ8+NrlbN5+\nIPNpXf/+4aa3Lk29wkd5fIJiwWZ18emV6dE805SpSAZa1afyts/tnxX8GimnmHQOR7X+rlOL9Sed\nY92WPQ0nBRnV0WXUY6NjZYZXDjW0wkdl0nHCOQb7i5oezRGNEEUy0LSV62vMdaQUtaZfp2r0Sv1i\n/FWvXRA6AnSc7J860GAHH+eq94nj1qGU7qKAKJKBpKUTHxjdx92PPDNrqabgMZrBDxB3N6lxdsex\najebhx8/FBtU/enPeu3ioqjw/qRgs++gbso+VUAUyUi90onRsfKMYOiLelMNG0k2PJqB0HPnlT8I\nTrJKyFw7+KjwPj8UEEVaZPP2A5FvzLVvqmEjyZu37OGUeY3f9u+VYFir2a9bhff5oaQakRaJG0nU\nrpgQNZp7+UTrahulmpQzUCpOJ+jULrKszNJ80QhRpEWi2oUFlyaC+JGktM5AqcjYH1w+Y9tcEqJq\nZXksyYYCokiLhGWi1i5NNDpWznXv0W5iNntbVusZRi0Vtevpwzz8+CEFyTZRQBRpoVOLJ3udDpSK\nbHrr0hnB0M84lfYbrylxyXJEF9XZqB0ZyM0WzD7t9IxT3UMUaQE/2AXrCGvvB6ZtvyZzUyr2RRbu\nw8z7uh8Y3TfdJCDYE7V2Wamk4nqhBgX7p0rzKSCKtEDUiOC2z+1nzcgOztnwoKZKW2yiMkX//Hm8\na/Wi2PUo65XLNCJNZqrKOlpHU6YiGYqaVot6UztyrNITyy91qvL4BFt3l3n9otN55HtHmHSOaiJp\ntW3c5u0HOPryicTlMklF3U/WeortpYAokpGoRAlIvyCtr7aBtGRvojLJ1544PB2Mplx19AjU/Zs1\nGqzCOhtdesFCtu4up15gWrKjgCiSkbhp0Ubbh25+x/KOXpopLxr9yHHpBQsbPmdYxuqq1y5QKUYb\nKSCKZCRuWrQRBS/vv9F2bdJ8W3eXWfXaBZkFrazKOqQxSqoRyUjW93omnWP9Z/by05dPZHpcSW+w\nvzj9ASVIWaD5ooAokpH1a5fMylacq8qUY1L3ENuqVCyw8aqlTEXMeysLND8UEEUyMrxyiA+9fVls\nbZt0poFSkaGB0nTPUr9/aXDh31YtAi3to3uIIhkaXjnEpm37230ZkkKpWJjRMShKmkWgpTspIIpk\nZHSszO//wz6OHk/ebabbVrDPg/5iH4OnnZI6k3N45RC7nj7Mpx99lknnKJhx9cX118BU1mj3UEAU\nycDoWJn19+9NtdjsmvMWcPdvvZHFGx6sm/bf6IruMtv8eQV2brhs+ufRsTJrRnbUDVqjY2W27i5P\nf4CZdC42yzSuLlVBsTMpIEruteJT+qZt+1OvvL7zicOsGdnBQH8xtjSjWDAm57iqu5zkl7CMjpXZ\ntG3/jJKWuKAVVWe6efuB0H9PaffvBcFG31Ha2QBcSTWSa/6n9KyaMkedo9E6wfL4BP/20gmKhZkp\n/f5PBTMqkw4tC5wdo9qs+9YH9oX+3aJKKaKySbPaLu2ngCi5FvcpPctzzEVlynHa/HnTWY5DAyVu\n8BpO6/5i9hzwqUeeiV1ZJCxopc0yVVZq91FAlFyby6d0/97S4g0PsmZkR+Sosl6/yyT/k70wUWHn\nhst4cuRK1q9dwqcffVZLQbVRWNAKqzONyzJNu7+0n+4hSq5FNdWu9yk9aUJEkqnXKapB0RHdM9O/\nng+M7gtdakhaJypohTXkjrsfnXZ/aT8FRMm1RmvHkiZE3Pa5ZDWHcfcAiwXj0gsWsuK2L6lnaZsN\n9hfZeFV0TWLaXqPqTdpdFBAll4KZpaeXipxa7GP8WKXup3T/eVHToOXxCRZveHD6OFmsZTivz9jy\n9We1zFML1Kv7HPuDy1t4NRImLBO1VZmnCoiSO7XTneMTFUrFAh+5bkXdIura0WSYYLZqFvy196S5\nSsUCr190OjufOBz6eMGM0bGyRnQ9TEk1kjuNZpaGPS+Okl66i78QcJRJ5zIvyZHuooAoudNoZqnq\nw/Kv3qS0lnPqbQqIkjuN1n9FPT40UGIog9qx2avpSSfSB6PepYAoudNo/Vfc89KudVgb/Ip9plKK\nLnF6Sct39SoFRMkdf13CYOcXf027es+7+uKh6ZXRg6sZ1B6z3pqHzjuvf/758/S/Wrc4evyE7iP2\nKHNqDRVr1apVbteuXe2+DGmBsCzTUrEQGkzr1QwWzPjwtcsZXjnE6FiZm7fsadp1S2OGBkqMHzse\nulzX0EBpxooYOZRoBv/c113kbv/E55t9LQ2bQzlG6Otv2sdWM7vTzH5kZt8KbNtkZmUz2+N9vSXw\n2K1mdtDMDpjZ2sD2K7xtB81sQ2D7YjN71Nu+xczme9tP8X4+6D1+Tr1ziEC67NR6BfR+xuIHRvdx\ny317M71OmZtSscC7VlffSKPWrtR9xN7UzDrETwB/AXyyZvtHnHP/PbjBzC4E3gksBc4E/tHM/jfv\n4b8EfgV4DviGmW1zzn0b+GPvWPea2V8D7wE+5v33iHPuZ83snd5+10Wdwzmn3PkcS7P0U73s1OCx\nkpioTPKpR+ovdyOtM1Aq8qvLz2Dr7nJs2YwacPempo0QnXP/BEQX/cz0NuBe59zLzrkngYPAG7yv\ng8657znnjgP3Am8zMwMuA+73nn8XMBw41l3e9/cDv+TtH3UOyam0Sz/FZafWHku6kxk8/Pih2GCo\nBty9qx13+t9vZo95U6qD3rYh4NnAPs9526K2vwoYd86dqNk+41je4y94+0cdS3IqbYF+XJZp2qJ9\n6UxHjlViVydJmoAl+dTq1m0fAz5INQnvg8CHgf/S4muoy8xuAm4CWLSofas3S2Pq9SP9/vhE7FRq\n2PZ1MUkxRjVV/+jxE1S0sn3bDQ2UOPryicj7vFH9THsgkSaR4Pvfq/99b30waGlAdM790P/ezP4W\n8NOXysDZgV3P8rYRsf0nwICZzfNGgcH9/WM9Z2bzgNO9/ePOUXuddwB3QDXLNN2rlHZK0o/09FIx\ndmmnsNHBqcW+0J6jwTfR0bEy6+7bgxK328tv6B5l0jlKxULqFVB6RfD979zXXdRT/5pbGhDN7Azn\n3PPej78G+Bmo24B7zOxPqSa8nA98neqH7/PNbDHV4PVO4Nedc87MHgauoXpf8Ubgs4Fj3Qj8q/f4\nDm//qHNIjtSb2iwVC5jN7kManEr1R4gD/UWci88oPXz05RmrXwyUipmsgCGNc8T/zYa8v5XWKZRa\nTQuIZvZp4BeBV5vZc8BG4BfNbAXVf7NPAb8N4Jzbb2b3Ad8GTgDv87M/zez9wHagANzpnPMXoPtd\n4F4zux0YAz7ubf848PdmdpBqUs87651D8iMuA9R/I4ya/vRHin6wTBLY/FFj7XOlMxgz+5cacOkF\nC0NnAtJkJEs+NS0gOueuD9n88ZBt/v5/BPxRyPaHgIdCtn+PkCxR59xLwDvSnEPy48yBUui9w+DU\nZtT9xYLZnALaRGWy7np70lq1fwkHbN1dZtVrF8wIdrVT7bXT6NIb1E9KciVJH9OofbIIZAqGnS8s\n07jRJcMkXxQQJVeS9DGN2ieLFS2kOwSn1kfHyrEZydI7Wl12IdJ0UZmi9fbZ9fRh7n7kGRXe9wC/\nCYM/VVpvP+lM9zxavxNUmiqoEqkAACAASURBVH6nGiGKUH1j3Lq7HBkMi31azzAvDKan0OOyklWK\n0Xs0QpSeUa8YPy6hJqQEUbrUDasXTa9CEte1Rh1reo8CouTe6FiZ2z63f0YZRW0Woe4V9YbB/iK3\nDy+rO1U6NFBSMOxBmjKVXPPf+MJqCoNZhLpXlH/FgrHxqqWApkolnAKi5Fq9qVC/r+nRl09E7iPd\nr89g8zXLp0d9cTMCmirtXZoylVypvU8Yd48IYKC/qA4zOVcqFmYFubgGDgqGvUsBUXJjdKzM+s/s\npTJVzRWtFwwhWXs26T5+y7ahiBZs69cumfVBSFOl+ZGm1CJIAVE6Wpr+kpu27Z8OhtLbHNXFgP2+\npbXilvqS3qWAKB0rbX/JuBUO0qptCi3dxzn41CPVwu3bh5fNejxJAwfpLUqqkY7Vrv6SpWKBN523\nIPH+BVPJfif79KPPtvsSpEsoIErHisoEjNo+2B+9KGxSQwMlXr/odL72xOHEz5l0jtPmF+rvKG2h\nhuuSlAKidKyo2sCo7RuvWkqxMHO01mdQ6Ks/gjPgXasXcez4CXY+cTj1dOnR48pS7VT+CH50rMya\nkR0s3vAga0Z2MDpWbvOVSadJFRDNrL9ZFyJSK8lSTkHDK4fYfM3yGatY/Om1K/jwO5bXHT366+Qp\n67R7RX3uuf6Ss/nA6D7WbdlDeXwCx8n70QqK+XTPo88kavxdK1FSjZm9Cfg74BXAIjNbDvy2c+69\nqc8oklAjmYBRiRJ+78p19+0hbAbNDNUidrmwBONSsfqZP2wVE/9+tBJrxJc0y/QjwFpgG4Bzbq+Z\n/cemXZWIJ6tMQD9jNep2km4z5dNEZSp2SS/1sJWgxFOmzrnaVC19nJauUa+Fm+RX3Gcd9bCVoKQj\nxGe9aVNnZkXgd4DvNO+ypJulKaZv1TnmOhJQXWI+XXrBwnZfgnSQpCPE/wq8DxgCysAK72eRGfyp\nyWYmLzRyjrmMBErFgoJhB8qi+nPr7rISa2RaohGic+7HwA1NvhbJgbhi+qxGiUnOUTuCvPSChWz5\nxrNUJtOFNgNOmden6dYOlMWHFCXW5Fsw0zRJf9NEI0Qzu8vMBgI/D5rZnY1coORb2mL6ZpwjbAS5\ndXeZeQnqEWs5sm0JJ51HiTXiS3oP8SLn3Lj/g3PuiJmtbNI1SReLWlYny+SFqHP0mXHOhgdDn6MR\nXm8o9hkYqWYClFgjvqT3EPvMbND/wcwWoMbgEiJtMX1W5wC16OpFp80vMOQFtIIZlSnHiRTBUEs+\nSVDSgPhh4F/N7INmdjvwNeBPmndZ0q2GVw7xobcvm9EtJusVyGvPoebavatY6Jv+gOR/IEoSDpv1\nb1O6m7mEn6rN7ELgMu/HHc65bzftqjrIqlWr3K5du9p9GRJj8YYHlQXao4zoKfQoQwMldm64rP6O\n+ZboU+S5r7vI3f6Jzzf7WlqiJqkm9PXHTnua2Sudcy96U6Q/AO4JPLbAOZd8SQCROYqqPUz7hij5\nceZAKVVSjKZIJU69KVM/AO4GdgW+/J9FWiKu9jDqnqLkmx/c6iXFFMw0RSqJxI4QnXO/amYG/Cfn\nXPrW4SIZias99Ke/Nm8/oJFij+gv9vHfAsHt5i17Ivf98LXLFQQlkbpJNa56kzE8l12kRerVHg6v\nHGLnhsv46HUrNFrsAYOnnTId5IZXDkUu7zXYX1QwlMSSZpl+08z+Q1OvRCRG0sWCgxmoEL1GnnS3\n2g9IG69aGlrus/Gqpa28LOlySQPiJcAjZvaEmT1mZvvM7LFmXphIUNR9wmPHT8zqRemPFp8auZIz\nTlfRdR7FfRDS/UJpVNLi+rVNvQqROvw3tk3b9s9opXbkWIVbH9g3Y58g3VPMn1KxwKUXLGTNyI5Z\nGccKgDIX9couTqW60sXPAvuAjzvnTrTiwkRqDa8cYvP2A7N6i05UJtm0bf+skgzQsk15UzDj9YtO\nZ+vu8nSSlZ9xDOEfikSSqjdCvAuoAP8MvBm4kOpaiCJtEZVcMz5RmQ6U/hvkKfP6FAxzZtI5vvbE\n4Vl/V61aIVmoFxAvdM4tAzCzjwNfb/4liURLWoQ/UZlUQ++civqQo1UrZK7qJdVMz01pqlTabXSs\nzNGX9c9Qwp1eCi+9EEmq3ghxuZm96H1vQMn72aiWKL6yqVcn4vE71dSO+vz6syPHZq9ZONhf5KXK\nlEaKPUI93mWuYkeIzrmCc+6V3tfPOOfmBb5XMJRMjI6VWTOyg8UbHmTNyI5ZZRQQ3qkGoH/+vNga\ntKsvHtJqGF2okb/YeMiHIpE0tKahtFXtyC8qYzCuU42/n9+6rWA2nXn64ksVppRZ03VuWL2Ihx8/\nxPfHJxjoL+IcvDBR4cyBEseOnwidEdBCv+KrWdkiMQVESSVqxYlGj3XLfXtnLew7UZnklvv2AieD\nYlQyjf8m6O8XDK615RnSHU6bX+D24WWRj4dNn2sVC8lC0k41IrErTjR6rKhV7iedm3HssE41tW+C\nUdOq0l2On5iK/TelrjTSLBohSmJxK06kfTNKEryCxw5Oi0aNTpV2nw+VKVf335S60kgzKCBKYvVW\nnMjiWLXK4xOhLbrCaKHg/Ejy7yPL6ftOOpe0jwKiJFbvPl6tuDeRNMHL3688PsH6+/eyadv+6QSL\n4DHXr13Cui171J0mB+olyCRNxspCK88l7aV7iJJYkvt4vnr3Gxtd5b4y6RifqIQec3jlkIJhDgT/\nTUWV5MRN32etleeS9tIIURJLch/PV+9+Y9ixGpnunKhMctvn9k+XXEj3KRaM0+bPmzXqjxuZZTl9\nX08rzyXtpYAoqSRNZkjyJlJ7rDUjOxoKakeOVULr0qRzFcyYcq7hD1Vpp+/nopXnkvbSlKk0RdIV\n7oManUZtxPn/7rSWnEdmKxULfPja5Tw5ciU7N1wW+QEr7kNVmun7uWrluaS9mhYQzexOM/uRmX0r\nsG2BmX3ZzL7r/XfQ225m9udmdtDMHjOz1weec6O3/3fN7MbA9ovNbJ/3nD83q/bnauQckr209xvX\njOxg3ZY9nDIv/p9ksW/ubdgG+4sc+unxOR9Hkllz3oLpmsHB/iKnzOtj3ZY9kW36fHEfqlpZi6i6\nx97RzCnTTwB/AXwysG0D8BXn3IiZbfB+/l2qay2e731dAnwMuMTMFgAbgVVUV33ZbWbbnHNHvH1+\nC3gUeAi4AvhC2nM07dX3uKT3G2vvE8V1lymYsfkdy6eP2WgCzcuVSY5Vphp8tqT11E8m2LnhstTZ\nmuvXLontSNPKWkTVPfaGpgVE59w/mdk5NZvfBvyi9/1dwFepBqu3AZ90zjngETMbMLMzvH2/7Jw7\nDGBmXwauMLOvAq90zj3ibf8kMEw1IKY6h3Pu+Sxft5yU5E0kTXeZ6y85e8YxG73nqGDYWv7UZ9rG\nDmmSuESy0OqkmtcEAtAPgNd43w8Bzwb2e87bFrf9uZDtjZxjVkA0s5uAmwAWLWqsSawkE5epVzBj\n0jkKZlx/ydmz+luGjSCk8/hTn41ka2pk1nrB979X//vO/d032sA7TtuyTJ1zzsyaWjbW6Dmcc3cA\ndwCsWrVKpW0ppenqEZXBNzRQYueGy2Yd97bP7Z/OKB0oFbn64iEefvyQSi46lAGXXrAQaDxbU11i\nWiv4/nfu6y7qqfe/VmeZ/tCbCsX774+87WXg7MB+Z3nb4rafFbK9kXNIhtI2AK+XfOMn3Jyz4UFu\n3rJnRnnF+ESFLV9/lvVrlzCkFPiO5IBPPfIMK//wS1x6wUKKhZlJUcWCcekFCyPXw8yyobxIPa0O\niNsAP1P0RuCzge3v9jJBVwMveNOe24HLzWzQyxa9HNjuPfaima32skvfXXOsNOeQDKXt6hGXwRd8\nM4ziN4JWkXRnO3KswpZvPMvk5MwBx+SkY8s3no0MeOoSI63UtClTM/s01eSWV5vZc1SzRUeA+8zs\nPcDTwLXe7g8BbwEOAseA3wRwzh02sw8C3/D2+0M/wQZ4L9VM1hLVZJoveNtTnUOyleV9oqQJN3Pp\ndCOtU5mcPfs2BUxNzl4P00+0UZcYaaVmZpleH/HQL4Xs64D3RRznTuDOkO27gJ8L2f6TtOeQ7GTZ\n1SPpm55/X+nmLXtSn0M6k/+3V5cYaSV1qpFMZdnV4/RSMdF+5fEJTaHljB/w1CVGWkm9TCVTWdWO\njY6VOXr8ROL9NV3a+YoFA1e97zu9rc/AZk6n1hbfw+x/T0DidTKluzSjnCIpBUTJXNrasbC0+s3b\nD4Tec5LuYzAjkPl/69NLRcyqCTd+zelQTXAL+7cBaH1CaQoFRMlU2pqxqHZeKrbPjydHrpzxc9jS\nTpPOTY8Mg8Ew7N/GKfP6UnW8EUlK9xAlM43UjEWl1Us+DPaH3wdOUk4RtU9Uv1tlnspcKSBKZjZt\n25+6ZkxvYt3JL68fKBU5bX74kl2FPmPjVUtDH0tSTpH234YyT2WuNGUqmRgdKzf0yV31g93JMbO9\n3uhYmU3b9k//GxjsL7LxqqXT06O10+hJyimi9hnsL/JSZSpyFQyRRikgSibiRoH1FgVe/5m9MzIP\na5WKBU2jdqDgB52oRKqo+4BXXzzE1t3l2KAWtfyTP+pUf9N8uufRZ4D2ZJsqIEom4kaB9T65T7ro\nYOhnHf7+P+zj6HEFxU6SZIoy6j7gw48f4kNvX1Y3qAUTaIKjTlBGqWRPAVEyETe9FffGtWnbfqIG\nh8ERQ8wAUjJikGrR5SRTlFEflMrjE6zbsoczB0p85LoVdReOBnhJ61hKkympRjIR1VEkKqnCF3Xf\nEZhu8p1mEWFpjfkFSzRCixtFxmUiq6m3tIMComQibtWKuRwTlInaKmmyNI9POlbc9qW6yzCFfVCq\nFRbo1NRb2kFTppKZRlY3H+wvzljjMLjdlzQTdbC/yIsTJ2LvSUq4/mIf69cuYd2WPYmnTccnKnU7\nxNS2Xos6dm2gU1NvaQcFRGmrjVctZf39e2e0aSsWjCsvOmO6V+VAf5Fin8VmohYL1Zo3rXjRmFOK\nBYZXDrHr6cPc/cgziYPiRGWSW+7bC8QHRf+xNSM7EgW6qAxTlVbkRzt7lkZRQJSWiWvrFtx+6QUL\nZ6TkHzlWodBn00kfBTNWnzvIUz+ZmNXjMm1iiFSNe6P024eXseq1C2b8PY4dPxE6ivdNOpe4l2jS\nQJdVk3iRNBQQpSXC6tHWf2Yvt31uP+PHKjOyDdeM7JiVUDEZGB1OOsfOJw4zUCrOyFBcM7JDwbBB\nfWaMjpVDA86VF50xq2awVtJeomkCXSNT8CJzoYAoTeWPCsOmySpTbnrkEVyxIGniRO09LCVcNM4f\n5e16+vCM4Fcen2Dr7jJXXzzEg489HztSLI9PsHjDg3VHcwp00qnMKQEh1qpVq9yuXbvafRldKayW\nrB5/GaBGmIH+Oc9N1O/fb9M2Olbmlvv21v0blYqFOWcZS1NZ/V3g3Ndd5G7/xOebcgFtvocY+vpV\ndiFN00j94FwyRBUM5y7q9++PvodXDvHha5cnKqW45b69dcsyRDqJpkylKUbHymranSPBLNCkpRRh\nyTZp18sUaSWNECVz/lRpnIFSkWIh0ayNtFlUFujODZfx5MiVDMXUBgaL7htZL1OklRQQJXNJp0qv\n+w9nT3e2KZiCY6eqdy+wXjcaf7pV7dik0ykgSuaSZHuOT1TY8vVnWb92CU+OXJnovlStYp+CaLMN\nDZQSlVJ86O3LIj/U+NOtascmnU4BUTI1OlamL+ForzLlpkcHwyuHuPrioWSpb1TfqDe/Y3mDVylJ\nHX35RKIpzahkm+B0a1TbNbVjk06hpBrJjH+PKE2maHB08PDjhxIV1htwzqtKbNq2P/1FSirBWk+I\nL6ivV3SvdmzS6RQQJTONlFkERwdJp84csPOJw6nOI8mE1XJOVCbZtG0/R18+Md1P1u80BMwKikkb\nfSvLVDqNAqJkJu29oGKfzRgdJF3VQqL1F/t4+YRruJ4z6mlh61ZWphybtu1PFdDUpaZ3dWIz71q6\nhyiZiboXFHZfsFTsY/M7ls94c9TU2dwdq0y1dPmruAWeRbqNAqJkJiz9Pmr1iQWnnQJUG3Iv3vAg\na0Z2sOvpw6j6ov1q3xTqZf+qjlDyQgFRMuOn3/u1hUMDpcgkGb8oO1ik/alHnlH7tQ4wRbVxgv83\n/NDbl81YsLmWiuslL3QPUTJVe48oakFYIHUCjrTOaafMY8/Gy2dsq13I2Zd06SeRTqcRojRVvS4m\n0pnK4xMzRn3DK4fYfE103aeK6yUPNEKUpgqm2iuDNJnB/mLsuoOtUtuYe3jlUOTfUcX10g1ZpPVo\nhChN5zeCVr5MMi91yFRy2BJOYSP+uOL60bHyjMQp3WuUTqaAKC0TN4oYGijxrtXd/wkzCxOVqZac\np9hnsckycHIJJz+QhSVORTX/1uoW0m0UEKVlokYXH71uBTs3XMaq1y7QKHIOTptfSNXw/BWnzmPj\nVUsTLfYbXJEiuPTTzg2XRSbTpF3dQqNJaTcFRGmZeqOLzdsPJOplWktBtGqgfz6b37F8en3Cer+X\n8WOV6b/JQCl+pNhI0kya1S00mpROoKQaaam41l2NZiqqdLHq++MTM36/cSUvcHIK23/O6FiZW+7b\nG9rpppGkmahWfGHHihtNqpxDWkUjRGlIM6a3lKk4N7W/v7gPGGGJMEmWcEojTQKO1kqUTqCAKKk1\na3pLNYuNCws0cR8wrr44fKSeJmmmnjTH0lqJ3e+eR59p9yXMmaZMJbVmTW+1o2ZxoFSkMjnF0eOd\nUerQCGN2gBsdKzN+7Hjkc7buLrPqtQuA8OWYspqmTHosrZUonUABUVJr5vSW/wa68g+/1PTi9FKx\nwK8uP4Otu7s7ccNRXVwZqoFw07b9dVeh8Nc4fPnE1HQQ8kf6QMvv22mtROkECoiSWppkiVq1b9iD\n/UU2XrV01hvfxquWRvbOzELBjA+9fVlDixq3S9jivb7ve63WakdZccKCZjsTWbRWorSb7iFKamm7\nlfhGx8qs/8zeGW/ER45VWH//3ln3H/3emX4JQSHjdaFWnzvY0e3kigWbseLEu1Yvil0JpM+M2z63\nP5PgnnSkr7pByRsFREmt0cSLzdsPUJma/a5emXSzirVHx8rT02dDAyWuv+TsTNdK3PnE4Y4NhlD9\nnZx2yjyeHLmS9WuX1J3WnXQu1RRzqViI7FKTdKSvukHJG02ZSkOSTm8FA1vc5GdwVFI79eevldhr\n/ICd9bTukHd/Dmg4kUV1g5KHZt61FBCladLc0wqOSuYSAIp9xitOndcRq0WEGewvMvYHl3POhgfr\n7utPE2eRrDRQKrLprbPv1UJjiSyqG5Q8UkCUpkka2IoFmzEqafRN1YDr3nA2tw8vq9ulJa015y3g\na08cnjHKNeBN5y3gqZ9MTAeUQz99ieMxiUAbr1rK6FgZo36HnUnnEgXOKFEJS0GNJrLMJbFKpFPp\nHqI0TZLAdtr8ApuvWT7dOmzNyI6GW7EFyw/Wr12SaY/Tp34ye8rXeduDja7jsmLXnLdgek3BVrSb\n658/r2nTl40mVol0srYERDN7ysz2mdkeM9vlbVtgZl82s+96/x30tpuZ/bmZHTSzx8zs9YHj3Ojt\n/10zuzGw/WLv+Ae951rcOaQ5kowW/BybYJLGXPhBeHjlEDesXpRJUByKGA0FzwfV1xB1wmIf3P1b\nb5z1nGZq5nmy7Ggj0inaOUK81Dm3wjm3yvt5A/AV59z5wFe8nwHeDJzvfd0EfAyqwQ3YCFwCvAHY\nGAhwHwN+K/C8K+qcQ5ogSSu2icokt31uf2aJI8EgfPvwMt503oLQ/Yp9Rn8x2T//Sy9YWPd8fkCP\nKo14xanFWc+pVTDLdFTb7OnLpMtAiXSLTpoyfRtwl/f9XcBwYPsnXdUjwICZnQGsBb7snDvsnDsC\nfBm4wnvslc65R5xzDvhkzbHCziFNkHRpoSPHKpnc76udshsdK/O1Jw6H7jt/Xl9oCUiYuB6N/vnq\nBfTxY5XpKeHy+MSswFcqFvjwtct5cuTK6drLudD0pTRTHjNMoX0B0QFfMrPdZnaTt+01zrnnve9/\nALzG+34IeDbw3Oe8bXHbnwvZHneOGczsJjPbZWa7Dh06lPrFyUnDK4fYs/FyPnrditji+mwK72cG\nuLh7dUePTybqgmOcnNYN44+K6k1Pnl4qzpgSdpycXR0oFTm12Me6LXtYM7IjdkQaxx9havpS5iL4\n/vfT8fAPlHnVrizTn3fOlc3s3wFfNrPHgw8655yZNTXvIO4czrk7gDsAVq1apeX2MuC/Od+8ZU/o\n45POUSoW5jRtOlGZmtGLM4t7aEn/+FFZl77jJyaZqEzNOvZgf5GXKjP7iTbaW3XKOZ4cubKh54r4\ngu9/577uop56/2vLCNE5V/b++yPgH6jeA/yhN92J998febuXgbMDTz/L2xa3/ayQ7cScQ1pgeOVQ\n5PSpP6qpN71aj18cDtVRWZRSwvuHcYLXWm968lhNMPQdOVYJLXCPEzWl2ug9Q7VgE6lqeUA0s9PM\n7Gf874HLgW8B2wA/U/RG4LPe99uAd3vZpquBF7xpz+3A5WY26CXTXA5s9x570cxWe9ml7645Vtg5\nJKG5vnlueuvS2HT9n750Ivb5SSZW/ZHhsePhxyoYnEh4/zBKsc/Y9Nal0z8PrxzKJMjWM9hfzLTk\nQS3YRE5qxwjxNcC/mNle4OvAg865LwIjwK+Y2XeBX/Z+BngI+B5wEPhb4L0AzrnDwAeBb3hff+ht\nw9vn77znPAF8wdsedQ5JIIs3z6h0fai2EZuMSNM04KmRK/nIdSsie3D6zhwoMTpWjiyQn3TMaRWN\ngVKRze9YPuse3YfefhHFvuT3QosFi+zPat7jtfv7hfZZlTzEtWAT6TXm4lroC6tWrXK7du1q92V0\nhKjuL0MDJXZuuKwpx446R1wHl49et6JpK1m8a/Uibh9eFvn46FiZW+7bGxnYg4p9FpvpOlAqYlbN\nUG3W+oCLNzwYep/UQPcj8y3RJ7dzX3eRu/0Tn5+1PQdZpqGvX63bJLFm9q+MO4Y/HRhsFF4wCw06\ng/1FhlcOsS4ieWeu/E44YfzrSxIMASpTLvJ1QHW9wlKxwEeuW9G0jFG1YJM0chAIYykgSmLNfPOM\nOra/kC/MXJkhLIiUigWuvOgMVtz2paa1RosK3GkX5/XVy66dqExyy317Wbdlz/QoEbJbWX792iUN\nr3ghkjedVJgvHa6Z/Sujjv3ha5dP9/8MCxrB2rurLx5iy9efDV0JPitRwb/RTjv+/b+4YvxJ56bv\n2d68ZQ83b9mTWRKMWrCJnKQRoiTmv0kmGZ0EpzdPT3AvrN6xo0Zmwdq7NSM7Iu/JxU1NJlW7KkdQ\nI9PG/ocJf8WJRlfoSLsOYfBv4/+e53oPWCQPFBAllSTLBdVOHwZHbP6Ixj9W0mMnma6NC0qTztFn\n8V1n6go8tzaoDPQXQ9dgLJgx5RxnDpS49IKFPPz4ocgPE2HTl0klDchhiy9H/T1Eeo0ComSu3vRh\nIyurhwULA855VYk1IzvqBoR6LdhqhY0oK1NuuhyhNqgU+4xiwWaUc5SKhVTTj7Wj5L4Uo9qk93G1\n0r1INAVEyVyS0UraKcbhlUPsevowdz/yzPRAzQE7I5p310ozMBwaKMVm1IYFlcqUY6BU5LRT5sVO\nJ4dNVwb3CY6SkybqpLmPq5XupVF5zzAFJdVIEyQZrTSSmfrw44dSZ4+mqJMHqrWB69cuiby+M2OC\nZb1knrSNDYIJLxBeODVQKqYahca9LpFep4Aomau3DmKjmamNjGKci+79WSvYgSYuozYueASD3frP\n7J0R7BrpCuOvOfjUyJXcsHrR9KogBTPetXoRezZennrqWSvdi4RTQJTM1abyD5SKDPYX55zW38go\nxp+WrBegP3rdihnBJa4cIcnCx1CdRt20bf/0z3OZrhwdK7N1d3n6nuKkc2zdXU5dbqEyC5Fouoco\nTZEkGzWttFmYwbIGOJmsMtBf5KXKyeWYTo1oyl17P2/z9gPTBfJXXzw0I2M0qlwiOI06l8YGWSbD\nNONvI5IHCojSNcJqFYOlDHH1jmHJKr4jxyqs8wreh0K6wQz0F/m3l05M1zj6axYGR1ZxvVV9c+kK\no2QYkeZTQJS2qJdtGfV4FqObsNGWn6xTHp9g/f17wTEdAMPqC2tHZ4MRdYjBlTnSNDaopZ6j0m73\nPPpM7jNNFRCl5eoVhzejeDwYYOtlqiZdGio4Ott41VLW37931nOPHKtw3q0PMenc9Oizka4w6jkq\n0nwKiBmrN/LJg7m+xnr3w+plY6Y5dzW4PjZ9vzBLwdFZcPRXHp/AODnq9BNh5hLY5zK6FJFkFBAz\n1AttsbJ4jfXuh0U97k9n+qOw4LlhdrAAWP+ZvbFrDs5F7egsSU/SuXSFUTKMSHMpIGaoF9piZfEa\n690Pi8varJ2SnKhMsmnbfl4+MTUrSJ8yr6/hYFhv8V5/3cUw9RJdlAgj0plUh5ihXsgEzOI11isO\nT1rn5xufqIQG6UaXgfIL9OMK+q+86IzIx+oluigRRqQzKSBmqBfaYmXxGusVh/uPt0OxzzCDdVv2\nANXgGObhxw9FHiMuoCsRRqRzaco0Q72QCZjVa6x3P8xPrmlkfUBfVClElIFSkaPHT0w/J+7ccSPi\n2gQbf+WMISXCSBfKe6lFkAJihnohE7CVrzEs+Bb7qsGl3q3BUrHAxquWsmnb/kRTpwWzVFOs9UbE\nSoAR6T4KiBnrhTfCVr3GqODrT2eGMZgVpJO0e0u67iBUg+2lFyycXocxjx98RHqRAqJ0tLDgGzWV\nOjRQmlX0Xq/dW5JFeAf7i/TPnzfj+Vt3l+dcXtMLNasi3UQBUbpO2vuYcSPaxXV6kPpTr8HnrxnZ\nMefSk16oWRXpNsoyla6T5RJGcfcCo46bRelJI2sjikhzaYQoXanR+5i105S1059QHRXGBdgsGm33\nQs2qSLdRQJRcCrs/A6JtFAAAC3tJREFUB8yapty6uzxrbcN69/KyKD3R6hUinUcBUXIn6v7cqcW+\n0GnKhx8/lGoFiixKT3qhZlWk2yggSu5E3Z+LKr1oZJpyrqUnvVCzKtJtFBAld9IGuHZNU/ZCzapI\nN1GWqeROVIAbKBVjm4qLSG9TQJTciVpNY9Nbl2ZWriEi+aMpU2mZVnZmCSbQDJSKbHrryeJ6BUAR\nCaOAKKk1Etha1Zml9jwAL5+Yyuz4IpJfmjKVVPyAUx6fwHEysI2OlWOf16rOLOoAIyKNUkCUVBoN\nOK3qzKIOMCLSKAVESaXRgBOV+Zl1yUOrziMi+aOAKKk0GnCiMj+zLnlo1XlEJH8UECWVRgNOlitU\ndMJ5RCR/zKVYKbwXrVq1yu3atavdl9FRtLBtOvp9SQeyJDud+7qL3Pe+81izr6UdQl+/yi4kNbUc\nS04LAYt0D02ZijSRykBEuocCokgTqQxEpHsoIIo0kcpARLqHAqJIE6kMRKR7KKlGpIm0ELBI91BA\nlMyovCCcsnJFuoMComRC5QUi0u0UECUTceUFzQ6IGpmKSBZ6MqnGzK4wswNmdtDMNrT7evKgXeUF\njS5HJSJSq+cCopkVgL8E3gxcCFxvZhe296q6X7vKC1T4LiJZ6bmACLwBOOic+55z7jhwL/C2Nl9T\n12tXeYEK30WaZ8Fp89t9CS3ViwFxCHg28PNz3rZpZnaTme0ys12HDh1q6cV1q3atMqHCd5Fs9fL7\nn5JqQjjn7gDugOpqF22+nK7RjvKC9WuXzMhuBRW+i8xFL7//9WJALANnB34+y9smXUiF7yKSlV4M\niN8AzjezxVQD4TuBX2/vJclcqPBdRLLQcwHROXfCzN4PbAcKwJ3Ouf1tviwREWmznguIAM65h4CH\n2n0dIiLSOXoxy1RERGQWBUQREREUEEVERAAFRBEREUABUUREBFBAFBERARQQRUREADDneqpVXWpm\ndgh4OuPDvhr4ccbH7Ba9+tp79XWDXnsnvvYfO+euqLeTmX0xyX55oYDYBma2yzm3qt3X0Q69+tp7\n9XWDXnuvvvZupClTERERFBBFREQABcR2uaPdF9BGvfrae/V1g167dAndQxQREUEjRBEREUABUURE\nBFBAbJiZnW1mD5vZt81sv5n9jrd9gZl92cy+6/130NtuZvbnZnbQzB4zs9cHjnWjt/93zezGwPaL\nzWyf95w/NzNr/SuNZmYFMxszs897Py82s0e9691iZvO97ad4Px/0Hj8ncIxbve0HzGxtYPsV3raD\nZrah1a8tipkNmNn9Zva4mX3HzN7YK39zM1vn/Vv/lpl92sxOzevf3MzuNLMfmdm3Atua/neOOoe0\niHNOXw18AWcAr/e+/xngfwIXAn8CbPC2bwD+2Pv+LcAXAANWA4962xcA3/P+O+h9P+g99nVvX/Oe\n++Z2v+6a38H/DdwDfN77+T7gnd73fw38H9737wX+2vv+ncAW7/sLgb3AKcBi4Amg4H09AZwLzPf2\nubDdr9e75ruA/937fj4w0At/c2AIeBIoBf7Wv5HXvznwH4HXA98KbGv63znqHPpq0d+93ReQly/g\ns8CvAAeAM7xtZwAHvO//Brg+sP8B7/Hrgb8JbP8bb9sZwOOB7TP2a/cXcBbwFeAy4PPe/9g/BuZ5\nj78R2O59vx14o/f9PG8/A24Fbg0cc7v3vOnnettn7NfG13y6FxSsZnvu/+ZUA+Kz3pv7PO9vvjbP\nf3PgHGYGxKb/naPOoa/WfGnKNAPedNBK4FHgNc65572HfgC8xvvef0PxPedti9v+XMj2TvFR4P8F\npryfXwWMO+dOeD8Hr3f6NXqPv+Dtn/Z30m6LgUPA/+dNFf+dmZ1GD/zNnXNl4L8DzwDPU/0b7ib/\nf/OgVvydo84hLaCAOEdm9gpgK3Czc+7F4GOu+jEvd3UtZvarwI+cc7vbfS0tNo/qNNrHnHMrgaNU\np7Wm5fhvPgi8jeqHgjOB04Ce6XFZqxV/57z+W+pkCohzYGZFqsHwbufcA97mH5rZGd7jZwA/8raX\ngbMDTz/L2xa3/ayQ7Z1gDfBWM3sKuJfqtOmfAQNmNs/bJ3i906/Re/x04Cek/52023PAc865R72f\n76caIHvhb/7LwJPOuUPOuQrwANV/B3n/mwe14u8cdQ5pAQXEBnlZYR8HvuOc+9PAQ9sAP5vsRqr3\nFv3t7/Yy0lYDL3hTI9uBy81s0PsUfjnVeynPAy+a2WrvXO8OHKutnHO3OufOcs6dQzVhYodz7gbg\nYeAab7fa1+7/Tq7x9nfe9nd6GYmLgfOpJht8Azjfy2Cc751jWwteWizn3A+AZ81sibfpl4Bv0wN/\nc6pTpavNrN+7Nv+15/pvXqMVf+eoc0grtPsmZrd+AT9PdTrjMWCP9/UWqvdJvgJ8F/hHYIG3vwF/\nSTWTbh+wKnCs/wIc9L5+M7B9FfAt7zl/QU0yRyd8Ab/IySzTc6m+uR0EPgOc4m0/1fv5oPf4uYHn\n/773+g4QyKj0fpf/03vs99v9OgPXtQLY5f3dR6lmD/bE3xy4DXjcu76/p5opmsu/OfBpqvdKK1Rn\nBt7Tir9z1Dn01ZovtW4TERFBU6YiIiKAAqKIiAiggCgiIgIoIIqIiAAKiCIiIoACovQAMxs2M2dm\nFzT5PHvM7N4mHv+c4OoLIpItBUTpBdcD/+L9tynM7HVUV2z4Ba+/adg+88K2i0hnUECUXPN6zf48\n1cLqdwa232tmVwZ+/oSZXeN1YrnPqutc/oO3lt+qBKe6nmqx+peo9vz0j/tVM/uome0CfsfMFprZ\nVjP7hve1xtvvDWb2r17T8K8FuuFEva7fMLMHzOyL3tp5fxJ47Aoz+6aZ7TWzr3jbFpjZqFXX63vE\nzC7ytm8ys7vM7J/N7Gkze7uZ/YlV1+r7otee0F+/7/83s91mtt1vLyaSK+3uDKAvfTXzC7gB+Lj3\n/deAi73vfw24y/t+PtVVCUrA/8PJpXh+DjhBoPNIzHkOAIuotuf6XGD7V4G/Cvx8D/Dz3veLqLb+\nA3glJ5dR+mVga8g5zsFbjojqWoTfo9oj9FTgaap9Mxd6r2Wxt5/fTeV/ABu97y8D9njfb6I6ei4C\ny4FjnFyb7x+AYe+xrwELve3XAXe2+2+rL31l/aUpHMm766k2HodqI/LrqS5b9AXgz8zsFKqrNvyT\nc27CzH7e39859y0ze6zeCbwR5I+dc8+YWRm408wWOOcOe7tsCez+y8CF1RaWALzSG8WeDtxlZudT\nbQlYTPDavuKce8G7hm8Dr6XaSu6fnHNPeq/Bv4afB672tu0ws1eZ2Su9x77gnKuY2T6q075f9Lbv\noxqEl1D9cPBl77oLVNuaieSKAqLklpktoDoaWmZmjuobuTOz9c65l8zsq1QXub2OarBs1PXABVZd\n/QOqo72rgb/1fj4a2LcPWO2ce6nmWv8CeNg592tWXV/zqwnO+3Lg+0ka///5ZQDn3JSZVZxzfj/H\nKe+YBux3zr2xweOLdAXdQ5Q8uwb4e+fca51z5zjnzqa64v0veI9vAX7T+9kfFe0ErgUwswuBZXEn\nMLM+b/9l3jnOoXoPMSqB50vA/xl4/grv29M5uQTQbyR8fWEeAf6jt5KE/6EA4J+pTh9jZr9IdUT7\nYugRZjsALDSzN3rPL5rZ0jlco0hHUkCUPLue6n2woK2cDFZfAv4T8I/OuePetr+i+ub/beB2YD/V\n1d4xs78LSbD5BaDsnPt+YNs/UZ0WDUs8+b+AVV5yy7eB/+pt/xPgQ2Y2xhxmbpxzh4CbgAfMbC8n\np2s3ARd7U8AjnFxiKMkxj1P9cPHH3jH3AG9q9BpFOpVWuxAJMLMCUPSmVM+jugTPkkDAFJGc0j1E\nkZn6gYe9cgMD3qtgKNIbNEIUERFB9xBFREQABUQRERFAAVFERARQQBQREQEUEEVERAD4X/1XKYnA\nrgizAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JqJHhCK29Etv",
"colab_type": "code",
"outputId": "270844ec-cc3e-4ee0-e3fe-d4028d5443cf",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"# Plot the graph between Cost function and parameters.\n",
"x=df['Avg. Area Income']\n",
"y=df['Price']\n",
"\n",
"k = 0\n",
"n = np.linspace(-100,100,10)\n",
"m = []\n",
"# i is thetha\n",
"\n",
"for i in n:\n",
" k=0\n",
" for j in range(len(x)):\n",
" k+=(((x[j]*i) - y[j])**2)/(len(x)*2)\n",
" m.append(k)\n",
"\n",
"print(m)\n",
"\n",
"\n",
"#print(df.columns)\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[33598054089934.332, 22151315262286.91, 13083447000597.115, 6394449304865.158, 2084322175090.9478, 153065611274.4849, 600679613415.7732, 3427164181514.8276, 8632519315571.576, 16216745015586.135]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "xmGiZDvrFVc8",
"colab_type": "code",
"outputId": "48c258b4-d304-4edd-f256-08d1ac74f2ba",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 293
}
},
"source": [
"plt.plot(m)\n",
"plt.show()\n",
"\n",
"print( min(m) )"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEDCAYAAAAlRP8qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"153065611274.4849\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "d1c_hH8qCuSS",
"colab_type": "code",
"colab": {}
},
"source": [
"# Find the value of parameter (theta)1 for which cost function is minimum.\n",
"# theta0 + thetha1 * x = y\n",
"\n",
"from the grph the min value is \" 5 \"\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "b-XpLFO0Cxyh",
"colab_type": "code",
"outputId": "6323f574-9903-4a4d-ee44-ee4c1fb020c7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
}
},
"source": [
"# Draw the Hypothesis (Straight line equation)\n",
"\n",
"sb.jointplot(x='Avg. Area Income',y='Price', data=df, kind='reg', marker=\"+\",joint_kws={'color':'green'})\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x7ff136a2ee10>"
]
},
"metadata": {
"tags": []
},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAcQAAAGoCAYAAADYaZU+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOrOZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KIdYAucoVSe1",
"colab_type": "text"
},
"source": [
"# Prediction Extras\n",
"(Please ignore this)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kT00HvGu7_P9",
"colab_type": "code",
"colab": {}
},
"source": [
"#print(df.columns)\n",
"\n",
"x=df[['Avg. Area Income', 'Avg. Area House Age', 'Avg. Area Number of Rooms',\n",
" 'Avg. Area Number of Bedrooms', 'Area Population']]\n",
"y=df['Price']\n",
"\n",
"from sklearn.model_selection import train_test_split\n",
"x_train,x_test,y_train,y_test=train_test_split(x,y,test_size=0.3,random_state=0)\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SrRpdaxRIfEK",
"colab_type": "code",
"outputId": "0f795e06-eea2-4614-9b0d-acf7af3824e8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 255
}
},
"source": [
"from sklearn.linear_model import LinearRegression\n",
"lr = LinearRegression()\n",
"lr.fit(x_train, y_train) # fitting my data into the model\n",
"\n",
"print(lr.intercept_)\n",
"\n",
"coeff = lr.coef_\n",
"print(coeff)\n",
"\n",
"# creating data frame\n",
"cdf = pd.DataFrame(lr.coef_, x.columns, columns=['Coeff'])\n",
"cdf"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"-2644788.9773777965\n",
"[2.16187374e+01 1.66145180e+05 1.21010577e+05 1.76003780e+03\n",
" 1.51647974e+01]\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Coeff</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Avg. Area Income</th>\n",
" <td>21.618737</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Avg. Area House Age</th>\n",
" <td>166145.179949</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Avg. Area Number of Rooms</th>\n",
" <td>121010.576873</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Avg. Area Number of Bedrooms</th>\n",
" <td>1760.037796</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Area Population</th>\n",
" <td>15.164797</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Coeff\n",
"Avg. Area Income 21.618737\n",
"Avg. Area House Age 166145.179949\n",
"Avg. Area Number of Rooms 121010.576873\n",
"Avg. Area Number of Bedrooms 1760.037796\n",
"Area Population 15.164797"
]
},
"metadata": {
"tags": []
},
"execution_count": 8
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PPl2hFKoPES4",
"colab_type": "text"
},
"source": [
"means if the value of \"Avg. Area Income\" increases it affect price by 21.61 Dollar\n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kZbL5zHCM3XP",
"colab_type": "code",
"outputId": "2dfef864-e101-4e98-b182-98a9c7f272c1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"from sklearn.datasets import load_boston # sk.datasets.load_boston \n",
"boston = load_boston()\n",
"print(type(boston))\n",
"# boston is a big dictionary"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"<class 'sklearn.utils.Bunch'>\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "tyZOTtlmQ0ra",
"colab_type": "code",
"outputId": "2299811c-e83b-4aa2-d7f3-81fb5121224c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"boston.keys()"
],
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"dict_keys(['data', 'target', 'feature_names', 'DESCR', 'filename'])"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "L8rWV4LzCyRH",
"colab_type": "text"
},
"source": [
"Real Prediction"
]
},
{
"cell_type": "code",
"metadata": {
"id": "UwGjnFf4T4im",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "0b3647c6-037b-490b-ebd6-3b7e1d684c7b"
},
"source": [
"prediction = lr.predict(x_test)\n",
"print(prediction)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": [
"[ 969608.34680638 953868.15548661 907506.32836087 ... 1423701.02109733\n",
" 744400.93315402 488525.83117553]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RyOenif2D24F",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
},
"outputId": "86202664-5e3d-4a1a-b52e-587723b22aee"
},
"source": [
"sb.jointplot(y_test, prediction, kind='reg')"
],
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x7f6b2b271978>"
]
},
"metadata": {
"tags": []
},
"execution_count": 12
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAcQAAAGoCAYAAADYaZU+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n47SpAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "MCEUiA5JEUhK",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"outputId": "303a1d2b-04c7-45dc-fd44-73550dc6cfd4"
},
"source": [
"# cheak for the normal distribution curve\n",
"# of residuals = y_test - prediction \n",
"\n",
"sb.distplot(y_test - prediction)\n",
"\n",
"# if it is not Normal distributed curve then the linear regression is a wrong choice"
],
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f6b265d0f98>"
]
},
"metadata": {
"tags": []
},
"execution_count": 14
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEGCAYAAAC3lehYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMFZkjDHGJMz/BcrJ2EpeF0W9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JaGCa63QJsAR",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "5eac3e8f-60db-45b7-86e9-69be769cadc1"
},
"source": [
"# Mean Sq. Error\n",
"# mean_squared_error(y_true, y_pred)\n",
"\n",
"from sklearn import metrics\n",
"mse = metrics.mean_squared_error(y_test, prediction)\n",
"np.sqrt(mse)"
],
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"101672.69952286652"
]
},
"metadata": {
"tags": []
},
"execution_count": 20
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "tl-kDBwUQJhX",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment