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Getting started with Regression and Decision Trees
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib as mpl\n",
"mpl.rcParams['axes.color_cycle'] = ['#7FB5C7', '#E63E65', '#5B5BC9', '#55D957']\n",
"\n",
"%matplotlib inline\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>temperature</th>\n",
" <th>humidity</th>\n",
" <th>windspeed</th>\n",
" <th>count</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 2011-01-03</td>\n",
" <td> 2.716070</td>\n",
" <td> 45.715346</td>\n",
" <td> 21.414957</td>\n",
" <td> 120</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 2011-01-04</td>\n",
" <td> 2.896673</td>\n",
" <td> 54.267219</td>\n",
" <td> 15.136882</td>\n",
" <td> 108</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 2011-01-05</td>\n",
" <td> 4.235654</td>\n",
" <td> 45.697702</td>\n",
" <td> 17.034578</td>\n",
" <td> 82</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 2011-01-06</td>\n",
" <td> 3.112643</td>\n",
" <td> 50.237349</td>\n",
" <td> 10.091568</td>\n",
" <td> 88</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 2011-01-07</td>\n",
" <td> 2.723918</td>\n",
" <td> 49.144928</td>\n",
" <td> 15.738204</td>\n",
" <td> 148</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date temperature humidity windspeed count\n",
"0 2011-01-03 2.716070 45.715346 21.414957 120\n",
"1 2011-01-04 2.896673 54.267219 15.136882 108\n",
"2 2011-01-05 4.235654 45.697702 17.034578 82\n",
"3 2011-01-06 3.112643 50.237349 10.091568 88\n",
"4 2011-01-07 2.723918 49.144928 15.738204 148"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"bikes = pd.read_csv('bikes.csv')\n",
"bikes.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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LEEQv421AoNkFaHzFW2EQGSsHSgpd1vAlA0Y6/j+OfoVjZx0zRmmmPHrcRHld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\nwzAM00Zgoc8wDMMwbQQW+gzDMAzTRvj/wtaXdqhAUlcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10770a890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(bikes['temperature'], bikes['count'], 'o')\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('bikes')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=2, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.tree import DecisionTreeRegressor\n",
"import numpy as np\n",
"\n",
"regressor = DecisionTreeRegressor(max_depth=2)\n",
"regressor.fit(np.array([bikes['temperature']]).T, bikes['count'])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 189.23183761])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor.predict(5.)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 769.08756039])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor.predict(20.)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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peOihh9CzZ0/cd999yMrKAgAMHjwY7733HubMmYPw8HAEBARIpg3EyXh9+/bFoUOH8Pe/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\nV7XPqjZ4gy4FrdWkY0f6bo5YFAIqLC7hrt8Z09i6MlP7El+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/RdbqlYyZ+aRpfzwZuK2E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VdolgJVYIRGxxKX+ADzl6TwXPI/6Na1i5ZZz1EIWQnqay4faMiL7wnuIs7d4a2lpbFm7OYKdPPU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107516410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx = np.array([np.linspace(-5, 40, 100)]).T\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(bikes['temperature'], bikes['count'], 'o', label='observation')\n",
"plt.plot(xx, regressor.predict(xx), linewidth=4, alpha=.7, label='prediction')\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('bikes')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.tree import export_graphviz\n",
"export_graphviz(regressor, out_file='tree.dot', feature_names=['temperature'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!dot -Tpng tree.dot > tree.png # to convert the tree in a png image"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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aT2An0T/33HOPj6yHBlgmKQnsJFVJCFQ5AhJ+q5wB1HwhUC4IvPzyy7bTTjv5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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='tree.png') "
]
}
],
"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": "2.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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