{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise: \"Human learning\" with iris data\n", "\n", "**Question:** Can you predict the species of an iris using petal and sepal measurements?\n", "\n", "1. Read the iris data into a Pandas DataFrame, including column names.\n", "2. Gather some basic information about the data.\n", "3. Use sorting, split-apply-combine, and/or visualization to look for differences between species.\n", "4. Write down a set of rules that could be used to predict species based on iris measurements.\n", "\n", "**BONUS:** Define a function that accepts a row of data and returns a predicted species. Then, use that function to make predictions for all existing rows of data, and check the accuracy of your predictions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# display plots in the notebook\n", "%matplotlib inline\n", "\n", "# increase default figure and font sizes for easier viewing\n", "plt.rcParams['figure.figsize'] = (8, 6)\n", "plt.rcParams['font.size'] = 14" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Task 1\n", "\n", "Read the iris data into a pandas DataFrame, including column names." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# define a list of column names (as strings)\n", "col_names = ['sepal_length', 'sepal_width', 'petal_length', 'petal_width', 'species']\n", "\n", "# define the URL from which to retrieve the data (as a string)\n", "url = 'http://archive.ics.uci.edu/ml/machine-learning-databases/iris/iris.data'\n", "\n", "# retrieve the CSV file and add the column names\n", "iris = pd.read_csv(url, header=None, names=col_names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Task 2\n", "\n", "Gather some basic information about the data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(150, 5)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.shape" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2Iris-setosa
14.93.01.40.2Iris-setosa
24.73.21.30.2Iris-setosa
34.63.11.50.2Iris-setosa
45.03.61.40.2Iris-setosa
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 Iris-setosa\n", "1 4.9 3.0 1.4 0.2 Iris-setosa\n", "2 4.7 3.2 1.3 0.2 Iris-setosa\n", "3 4.6 3.1 1.5 0.2 Iris-setosa\n", "4 5.0 3.6 1.4 0.2 Iris-setosa" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "sepal_length float64\n", "sepal_width float64\n", "petal_length float64\n", "petal_width float64\n", "species object\n", "dtype: object" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.dtypes" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
count150.000000150.000000150.000000150.000000
mean5.8433333.0540003.7586671.198667
std0.8280660.4335941.7644200.763161
min4.3000002.0000001.0000000.100000
25%5.1000002.8000001.6000000.300000
50%5.8000003.0000004.3500001.300000
75%6.4000003.3000005.1000001.800000
max7.9000004.4000006.9000002.500000
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "count 150.000000 150.000000 150.000000 150.000000\n", "mean 5.843333 3.054000 3.758667 1.198667\n", "std 0.828066 0.433594 1.764420 0.763161\n", "min 4.300000 2.000000 1.000000 0.100000\n", "25% 5.100000 2.800000 1.600000 0.300000\n", "50% 5.800000 3.000000 4.350000 1.300000\n", "75% 6.400000 3.300000 5.100000 1.800000\n", "max 7.900000 4.400000 6.900000 2.500000" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.describe()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Iris-setosa 50\n", "Iris-versicolor 50\n", "Iris-virginica 50\n", "dtype: int64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.species.value_counts()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "sepal_length 0\n", "sepal_width 0\n", "petal_length 0\n", "petal_width 0\n", "species 0\n", "dtype: int64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.isnull().sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Task 3\n", "\n", "Use sorting, split-apply-combine, and/or visualization to look for differences between species." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sorting" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[5.2 4.1 1.5 0.1 'Iris-setosa']\n", " [4.3 3.0 1.1 0.1 'Iris-setosa']\n", " [4.9 3.1 1.5 0.1 'Iris-setosa']\n", " [4.9 3.1 1.5 0.1 'Iris-setosa']\n", " [4.8 3.0 1.4 0.1 'Iris-setosa']\n", " [4.9 3.1 1.5 0.1 'Iris-setosa']\n", " [5.1 3.5 1.4 0.2 'Iris-setosa']\n", " [5.2 3.5 1.5 0.2 'Iris-setosa']\n", " [5.2 3.4 1.4 0.2 'Iris-setosa']\n", " [4.7 3.2 1.6 0.2 'Iris-setosa']\n", " [4.8 3.1 1.6 0.2 'Iris-setosa']\n", " [5.5 4.2 1.4 0.2 'Iris-setosa']\n", " [5.5 3.5 1.3 0.2 'Iris-setosa']\n", " [4.4 3.0 1.3 0.2 'Iris-setosa']\n", " [5.1 3.4 1.5 0.2 'Iris-setosa']\n", " [4.4 3.2 1.3 0.2 'Iris-setosa']\n", " [5.1 3.8 1.6 0.2 'Iris-setosa']\n", " [4.6 3.2 1.4 0.2 'Iris-setosa']\n", " [5.3 3.7 1.5 0.2 'Iris-setosa']\n", " [5.0 3.3 1.4 0.2 'Iris-setosa']\n", " [5.0 3.0 1.6 0.2 'Iris-setosa']\n", " [4.8 3.4 1.9 0.2 'Iris-setosa']\n", " [5.0 3.2 1.2 0.2 'Iris-setosa']\n", " [4.6 3.1 1.5 0.2 'Iris-setosa']\n", " [4.7 3.2 1.3 0.2 'Iris-setosa']\n", " [5.0 3.4 1.5 0.2 'Iris-setosa']\n", " [4.4 2.9 1.4 0.2 'Iris-setosa']\n", " [5.4 3.7 1.5 0.2 'Iris-setosa']\n", " [5.0 3.6 1.4 0.2 'Iris-setosa']\n", " [4.8 3.4 1.6 0.2 'Iris-setosa']\n", " [5.8 4.0 1.2 0.2 'Iris-setosa']\n", " [4.9 3.0 1.4 0.2 'Iris-setosa']\n", " [5.4 3.4 1.7 0.2 'Iris-setosa']\n", " [4.6 3.6 1.0 0.2 'Iris-setosa']\n", " [5.1 3.5 1.4 0.3 'Iris-setosa']\n", " [5.7 3.8 1.7 0.3 'Iris-setosa']\n", " [5.1 3.8 1.5 0.3 'Iris-setosa']\n", " [4.6 3.4 1.4 0.3 'Iris-setosa']\n", " [5.0 3.5 1.3 0.3 'Iris-setosa']\n", " [4.5 2.3 1.3 0.3 'Iris-setosa']\n", " [4.8 3.0 1.4 0.3 'Iris-setosa']\n", " [5.7 4.4 1.5 0.4 'Iris-setosa']\n", " [5.4 3.9 1.3 0.4 'Iris-setosa']\n", " [5.0 3.4 1.6 0.4 'Iris-setosa']\n", " [5.4 3.9 1.7 0.4 'Iris-setosa']\n", " [5.1 3.7 1.5 0.4 'Iris-setosa']\n", " [5.1 3.8 1.9 0.4 'Iris-setosa']\n", " [5.4 3.4 1.5 0.4 'Iris-setosa']\n", " [5.1 3.3 1.7 0.5 'Iris-setosa']\n", " [5.0 3.5 1.6 0.6 'Iris-setosa']\n", " [5.7 2.6 3.5 1.0 'Iris-versicolor']\n", " [5.8 2.7 4.1 1.0 'Iris-versicolor']\n", " [5.5 2.4 3.7 1.0 'Iris-versicolor']\n", " [6.0 2.2 4.0 1.0 'Iris-versicolor']\n", " [4.9 2.4 3.3 1.0 'Iris-versicolor']\n", " [5.0 2.3 3.3 1.0 'Iris-versicolor']\n", " [5.0 2.0 3.5 1.0 'Iris-versicolor']\n", " [5.1 2.5 3.0 1.1 'Iris-versicolor']\n", " [5.5 2.4 3.8 1.1 'Iris-versicolor']\n", " [5.6 2.5 3.9 1.1 'Iris-versicolor']\n", " [5.7 3.0 4.2 1.2 'Iris-versicolor']\n", " [5.8 2.6 4.0 1.2 'Iris-versicolor']\n", " [5.5 2.6 4.4 1.2 'Iris-versicolor']\n", " [5.8 2.7 3.9 1.2 'Iris-versicolor']\n", " [6.1 2.8 4.7 1.2 'Iris-versicolor']\n", " [5.7 2.9 4.2 1.3 'Iris-versicolor']\n", " [5.5 2.5 4.0 1.3 'Iris-versicolor']\n", " [6.2 2.9 4.3 1.3 'Iris-versicolor']\n", " [5.6 3.0 4.1 1.3 'Iris-versicolor']\n", " [6.3 2.3 4.4 1.3 'Iris-versicolor']\n", " [5.7 2.8 4.1 1.3 'Iris-versicolor']\n", " [5.6 2.7 4.2 1.3 'Iris-versicolor']\n", " [6.4 2.9 4.3 1.3 'Iris-versicolor']\n", " [6.1 2.8 4.0 1.3 'Iris-versicolor']\n", " [5.5 2.3 4.0 1.3 'Iris-versicolor']\n", " [5.7 2.8 4.5 1.3 'Iris-versicolor']\n", " [6.6 2.9 4.6 1.3 'Iris-versicolor']\n", " [5.6 2.9 3.6 1.3 'Iris-versicolor']\n", " [6.1 2.6 5.6 1.4 'Iris-virginica']\n", " [7.0 3.2 4.7 1.4 'Iris-versicolor']\n", " [5.2 2.7 3.9 1.4 'Iris-versicolor']\n", " [6.1 2.9 4.7 1.4 'Iris-versicolor']\n", " [6.1 3.0 4.6 1.4 'Iris-versicolor']\n", " [6.8 2.8 4.8 1.4 'Iris-versicolor']\n", " [6.6 3.0 4.4 1.4 'Iris-versicolor']\n", " [6.7 3.1 4.4 1.4 'Iris-versicolor']\n", " [6.0 2.2 5.0 1.5 'Iris-virginica']\n", " [6.3 2.8 5.1 1.5 'Iris-virginica']\n", " [6.4 3.2 4.5 1.5 'Iris-versicolor']\n", " [6.9 3.1 4.9 1.5 'Iris-versicolor']\n", " [6.5 2.8 4.6 1.5 'Iris-versicolor']\n", " [6.0 2.9 4.5 1.5 'Iris-versicolor']\n", " [6.3 2.5 4.9 1.5 'Iris-versicolor']\n", " [5.4 3.0 4.5 1.5 'Iris-versicolor']\n", " [5.9 3.0 4.2 1.5 'Iris-versicolor']\n", " [6.2 2.2 4.5 1.5 'Iris-versicolor']\n", " [5.6 3.0 4.5 1.5 'Iris-versicolor']\n", " [6.7 3.1 4.7 1.5 'Iris-versicolor']\n", " [6.3 3.3 4.7 1.6 'Iris-versicolor']\n", " [7.2 3.0 5.8 1.6 'Iris-virginica']\n", " [6.0 3.4 4.5 1.6 'Iris-versicolor']\n", " [6.0 2.7 5.1 1.6 'Iris-versicolor']\n", " [4.9 2.5 4.5 1.7 'Iris-virginica']\n", " [6.7 3.0 5.0 1.7 'Iris-versicolor']\n", " [6.5 3.0 5.5 1.8 'Iris-virginica']\n", " [6.4 3.1 5.5 1.8 'Iris-virginica']\n", " [6.1 3.0 4.9 1.8 'Iris-virginica']\n", " [6.2 2.8 4.8 1.8 'Iris-virginica']\n", " [7.2 3.2 6.0 1.8 'Iris-virginica']\n", " [6.3 2.7 4.9 1.8 'Iris-virginica']\n", " [6.0 3.0 4.8 1.8 'Iris-virginica']\n", " [5.9 3.0 5.1 1.8 'Iris-virginica']\n", " [5.9 3.2 4.8 1.8 'Iris-versicolor']\n", " [6.3 2.9 5.6 1.8 'Iris-virginica']\n", " [7.3 2.9 6.3 1.8 'Iris-virginica']\n", " [6.7 2.5 5.8 1.8 'Iris-virginica']\n", " [7.4 2.8 6.1 1.9 'Iris-virginica']\n", " [6.3 2.5 5.0 1.9 'Iris-virginica']\n", " [5.8 2.7 5.1 1.9 'Iris-virginica']\n", " [5.8 2.7 5.1 1.9 'Iris-virginica']\n", " [6.4 2.7 5.3 1.9 'Iris-virginica']\n", " [5.6 2.8 4.9 2.0 'Iris-virginica']\n", " [7.7 2.8 6.7 2.0 'Iris-virginica']\n", " [6.5 3.0 5.2 2.0 'Iris-virginica']\n", " [5.7 2.5 5.0 2.0 'Iris-virginica']\n", " [7.9 3.8 6.4 2.0 'Iris-virginica']\n", " [6.5 3.2 5.1 2.0 'Iris-virginica']\n", " [6.9 3.1 5.4 2.1 'Iris-virginica']\n", " [7.1 3.0 5.9 2.1 'Iris-virginica']\n", " [6.8 3.0 5.5 2.1 'Iris-virginica']\n", " [7.6 3.0 6.6 2.1 'Iris-virginica']\n", " [6.7 3.3 5.7 2.1 'Iris-virginica']\n", " [6.4 2.8 5.6 2.1 'Iris-virginica']\n", " [7.7 3.8 6.7 2.2 'Iris-virginica']\n", " [6.4 2.8 5.6 2.2 'Iris-virginica']\n", " [6.5 3.0 5.8 2.2 'Iris-virginica']\n", " [6.9 3.2 5.7 2.3 'Iris-virginica']\n", " [6.4 3.2 5.3 2.3 'Iris-virginica']\n", " [6.2 3.4 5.4 2.3 'Iris-virginica']\n", " [6.9 3.1 5.1 2.3 'Iris-virginica']\n", " [6.8 3.2 5.9 2.3 'Iris-virginica']\n", " [6.7 3.0 5.2 2.3 'Iris-virginica']\n", " [7.7 2.6 6.9 2.3 'Iris-virginica']\n", " [7.7 3.0 6.1 2.3 'Iris-virginica']\n", " [6.3 3.4 5.6 2.4 'Iris-virginica']\n", " [6.7 3.1 5.6 2.4 'Iris-virginica']\n", " [5.8 2.8 5.1 2.4 'Iris-virginica']\n", " [6.3 3.3 6.0 2.5 'Iris-virginica']\n", " [6.7 3.3 5.7 2.5 'Iris-virginica']\n", " [7.2 3.6 6.1 2.5 'Iris-virginica']]\n" ] } ], "source": [ "# sort the DataFrame by petal_width and display the NumPy array\n", "print iris.sort('petal_width').values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### split-apply-combine" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "species\n", "Iris-setosa 5.006\n", "Iris-versicolor 5.936\n", "Iris-virginica 6.588\n", "Name: sepal_length, dtype: float64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# mean of sepal_length grouped by species\n", "iris.groupby('species').sepal_length.mean()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
species
Iris-setosa5.0063.4181.4640.244
Iris-versicolor5.9362.7704.2601.326
Iris-virginica6.5882.9745.5522.026
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "species \n", "Iris-setosa 5.006 3.418 1.464 0.244\n", "Iris-versicolor 5.936 2.770 4.260 1.326\n", "Iris-virginica 6.588 2.974 5.552 2.026" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# mean of all numeric columns grouped by species\n", "iris.groupby('species').mean()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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petal_lengthpetal_widthsepal_lengthsepal_width
species
Iris-setosacount50.00000050.00000050.00000050.000000
mean1.4640000.2440005.0060003.418000
std0.1735110.1072100.3524900.381024
min1.0000000.1000004.3000002.300000
25%1.4000000.2000004.8000003.125000
50%1.5000000.2000005.0000003.400000
75%1.5750000.3000005.2000003.675000
max1.9000000.6000005.8000004.400000
Iris-versicolorcount50.00000050.00000050.00000050.000000
mean4.2600001.3260005.9360002.770000
std0.4699110.1977530.5161710.313798
min3.0000001.0000004.9000002.000000
25%4.0000001.2000005.6000002.525000
50%4.3500001.3000005.9000002.800000
75%4.6000001.5000006.3000003.000000
max5.1000001.8000007.0000003.400000
Iris-virginicacount50.00000050.00000050.00000050.000000
mean5.5520002.0260006.5880002.974000
std0.5518950.2746500.6358800.322497
min4.5000001.4000004.9000002.200000
25%5.1000001.8000006.2250002.800000
50%5.5500002.0000006.5000003.000000
75%5.8750002.3000006.9000003.175000
max6.9000002.5000007.9000003.800000
\n", "
" ], "text/plain": [ " petal_length petal_width sepal_length sepal_width\n", "species \n", "Iris-setosa count 50.000000 50.000000 50.000000 50.000000\n", " mean 1.464000 0.244000 5.006000 3.418000\n", " std 0.173511 0.107210 0.352490 0.381024\n", " min 1.000000 0.100000 4.300000 2.300000\n", " 25% 1.400000 0.200000 4.800000 3.125000\n", " 50% 1.500000 0.200000 5.000000 3.400000\n", " 75% 1.575000 0.300000 5.200000 3.675000\n", " max 1.900000 0.600000 5.800000 4.400000\n", "Iris-versicolor count 50.000000 50.000000 50.000000 50.000000\n", " mean 4.260000 1.326000 5.936000 2.770000\n", " std 0.469911 0.197753 0.516171 0.313798\n", " min 3.000000 1.000000 4.900000 2.000000\n", " 25% 4.000000 1.200000 5.600000 2.525000\n", " 50% 4.350000 1.300000 5.900000 2.800000\n", " 75% 4.600000 1.500000 6.300000 3.000000\n", " max 5.100000 1.800000 7.000000 3.400000\n", "Iris-virginica count 50.000000 50.000000 50.000000 50.000000\n", " mean 5.552000 2.026000 6.588000 2.974000\n", " std 0.551895 0.274650 0.635880 0.322497\n", " min 4.500000 1.400000 4.900000 2.200000\n", " 25% 5.100000 1.800000 6.225000 2.800000\n", " 50% 5.550000 2.000000 6.500000 3.000000\n", " 75% 5.875000 2.300000 6.900000 3.175000\n", " max 6.900000 2.500000 7.900000 3.800000" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# description of all numeric columns grouped by species\n", "iris.groupby('species').describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### visualization" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Tp7ZMwGeAFcCngenAS7JpOnAssBz4TAfiGACen/3+LmAtcAYwGzgFeJJ0y523\nRY9sizJsh1wsR5FuBR2omR4AjhxRXZ0I2JMnT705ZTuqdw2x/J3AQx2II78DvwaYV7P8aGCBt0Xv\nbIsybIdsPYUe4Lj53czaaXPgziGW352V6aTtgf+qmfcLYIc2r9fbYr2ybYtubQeADwOHRMQXIuKG\niPhzNt0QEScCh5DuIGmKk7qZtdMNwGclTahdkM07DljQoVh2kbQb8ARPv/NnHGl423bytlivLNui\n29sBCj7AKeo+dTOzej4OXAYskfQ71o8JPwV4HbCKNDBNJ/wm9/tr2TBpTAPafdW1t8V6ZdkW3d4O\nsP4AZ3ZEPJlfMJoDHN/SZmZtJWlj4H3AHqSddgCPkK52Pi8iVnQghq1rZq2MiGW55bOBiIhz2xyH\nt8X69XR1W5RoO+xMOsCZCDQ8wImIPzZVn5O6mZlZ9xR5gOOkbmZmVhG+UM7MukbS5ZLucxzliKEs\ncTiG0fOFcmbWTTeQBtjotjLEUYYYoBxxOIaMpMuBbSNi26bKu/ndzMysnCSdBEyJiEOaKu+kbmbt\nJGkr4KPAnqx/cMfDpMeyfis69PS2ssTRSBbfvIj4oOOw0XJSN7O2kTQDuISUPC8FlmaLJpPuQ55C\neizrNb0Qx1AkTQNuioiuXuvUqTgkbUY6wHoMuC5yyUjSJOATEfG5qseQrWsXYHfg6oi4W9KrgMNI\n1739Z0Rc1nRdTupm1i6S/gBcGxGHN1h+GrBnREyvehyD9z0PUWQq6Qy53cm063FI2gm4HNiSlLhu\nJo0FvyhbPgVYXPUYsvXsD/wcWEm6V30WcD5wPWlEu72B/ZpN7E7qZtY2klYD0yLi7gbLXw7cHBET\nqx6HpAFgNelBIvWMAyZGRFuHJi1DHJLmk56KdjCwMXAa6Yx534i4p0NJvesxZHFcC1wREcdJeg9w\nFnBGRBybLT8J2C0iZjZTn29pM7N2egSYMcTyPUlN4r0Qx2LgAxHx3HoTaZhStTmGssTxGuCzEfF4\nRDwcEbOAHwNXSurEQ1TKEgPATsDZ2e8/AZ6V/Rx0HrBLs5X5ljYza6evAN+UtDupL3twCMzJwExg\nDvBvPRLHTcArgQvbvJ6xEMcEaloKIuIoSQKuJI2u1gsxDBrI1r9O0pOkx60OWgls0mxFTupm1jYR\n8Q1Jy4CjgA+y/qlX64AbgYMj4sc9EsdXgUlDLP8TsG+bYyhLHPeQnhd+R35mRBwpaRypj7ndfcNl\niAFgEenwqOSlAAAWJUlEQVTRr4MD3ezBhvfHv5jU0tQU96mbWUdIeiawRfby0YhY08tx9DJJxwB7\nR8R+DZafCXy0zX3qXY8hW89hwAMRMb/B8i8Ck32fupmZWY/xhXJmZmYV4aRuZmZWEU7qZmZmFeGk\nbmZmVhFO6mZmZhXhpG5mZlYRTupmZmYV4aRuZmZWEU7qZmZmFeGkbmZmVhFO6mZmZhXhpG5mZlYR\nTupmZmYV4aRuZmZWEU7qZmZmFeGkbmZmVhFO6mZmZhXhpG5mZlYRTupmZmYV4aRuZmZWEU7qHSBp\nrqSBKqyzlXol9UkakLRX0XGZmZmT+qhJmpMlqN2bKB7Z1EntWmer9XZ6O5iZ9QxFeB87GpLmAN8D\nXhMRC4YpOx4YHxFrOhFbO9fZSr2SBDwD+Ef4g2dmVjifqbeRpEkAEbGukwl9JOuU9Kx21NvgvRER\na5zQzczaw0m9IJLOlrRa0lRJ8yUtB36ZLXtaP7SkXSX9StLS7H2LJJ0raeIQ63h31uS/b51l78/3\nVzdY5yJJl0h6vaT/lrQa+Pds2fMk/UDSCkmPZX/PtKzO2bk6hqp3hqQF2d/zP5IOrilXt09d0ksl\n/Si3Le6RdEpu+VRJZ0q6U9LjWXy/kPSKRtvKzKwXbdTtACpmHHAp8N/A0cDa3LKnzk4lbQlcBiwF\nvgQ8BrwEeCvwbOCJBvX/ElgJHAhcUbPsQOChiLi63jpzr7cDfgKcBXwH+HPWLP4LYHfgG8CdwNuA\nc4aop/b1Nlm9/wF8H/gQcLakGyPijgZ/D5J2An5P2lZnAfdldc0CjsyKvQp4HfBj4M/Ai4APA1dJ\n2ikiHmlUv5lZL3FSL9YzgF9ExNF1lin3+57AZsAbI+Km3Py5Q1UeEU9Img+8U9LHImIdgKRNgZnA\nmUOsc/D1PwH/EhG/fGqm9E7gNcAnIuKUbN63SAce9dSr96XAXhFxTfb+nwAPAIcA/3eIP+tM0sHQ\nbhFxf27+p3O/XxwRF26wQukHwB2kg4cvDFG/mVnPcPN78b7RRJm/ZT/fKmmkB1bnA88D3pCb9w7S\nAcX5Tbz/gXxCz+xHOlP+9uCMrN+79iBhKHcPJvTs/Y8Cd5POuuvKWiz2As6uSegbiIgncu95tqTn\nkVos7gF2HUGMZmaV5qRerAFg0XCFIuIq4KfA8cCyrA/+f0t69mAZSZtLmpKbNs4W/YbUXP+eXJXv\nARYOdxV+5r4686YCSyJiVc38/2mivkF/rjPvb6QWiUa2zX7+caiKJU2U9GVJi4G/A38hdV3sDGwy\nghjNzCrNSb1YayKiqYFZImIW8GrgVGALUn/ybdnZK8DPgMW56dTsfWuzZW+XtJGkLYB9gAuajHF1\ng/m1Teojta5N9QKcDhxFaomYRepqeCNwO/4Mm5k9xX3qxRpRAouIG4AbgOMl7Qf8CjgUOJGUxDbN\nFV+c+/18Ul/ym4AXkv6PzTS9N3I/sK+kSRHxeG7+di3U2YzBloCdhyl3AHBORByVnylpc9JZu5mZ\n4bOcojV1/7WkTbMrzvNuzn5uAhARN0XEFbnprlzZfmAJ6Yr3A4E7I+LWFuL+NTCedEX5YIzjgMNa\nqHNYWb/7VcAcSVvnl9Vsn7XUfFYlvRd4QTvjMzMba3ymXqxmz9TnAIdJ+hmpj/tZpKvE15L62ocU\nEesk/RT4IDAB+Nyool3v58AC4MuStgHuAv4F2HxwlS3UPdw2+VfgGuBGSd8GFpJu7zuQdEU9wHzg\nA5JWkJrcp5Ga4e9ron4zs54x7Jm6pL2yC7kerDMQyUaSviTpFkl/l7RY0g8lbdXesEsjan5vlPxq\nl/WT7mWfReorP4bUvL5v1iTfjPNJBwOiftN7vXjqxpddB/DmrJ4PACcADwMfz4rk75tvut5mykbE\nH0m3011Baik4jdTcPj9X7Ajgu6REfzLwcuCfSbfMeXQ6M7PMsGO/S3oT8FpS8/C5wEcj4txs2Sak\nAUe+A/w/Uh/w10i3XP2vwfuobWyS9HbSRXmvjYjruh2PmZkNbUQPdJG0EjhsMKk3KPNyUhPpzhFx\ne+shWidImlhzP/h40uh4uwJTIuLJrgVnZmZNaUef+uB9w4+1oW5rnzOyceevJ/XTvxPYAzjGCd3M\nbGwoNKlLeiap+X1+RCwerryVym+BTwBvASYCfwI+HhHNjJBnZmYlUFjzezbc6Xmki5j2ioinnalL\n8kVNZkOICF/Nb2ajVsh96llC/xHwCuD19RL6oIjo6rT33nt3PYayxFGGGMoSRxliMDNrVcvN75IG\nHySyI9AXEUtbjqqNtt56626HAJQjjjLEAOWIowwxmJm1atikLmkSsH32chwwVdI0YBnp3uqfkJ53\n/dZUXFOysn+L3NXUZVGWnXcZ4ihDDFCOOMoQg5lZq5ppfp8O3JRNE4F52e/zgBeTRh57AXAjGz6A\nZFYb4m1ZX19ft0MAyhFHGWKAcsRRhhjMzFo1ogvlWl6ZFO47NKtPEuEL5cysBX6gi5mZWUU4qZuZ\nmVWEk7qZmVlFOKmbmZlVhJO6mZlZRbTjgS7WA6ThL9L2nQ5mZp3lpG4tGCpp+84sM7NOc/O7mZlZ\nRTipm5mZVYSTupmZWUUMm9Ql7SVpvqQHJQ1Iml2nzFxJD0laJelKSTu2J1wzMzNrpJkz9UnArcAR\nwGpqro6S9EngKODjpIe/LAUuk/ScYkM1MzOzoYzogS6SVgKHRcS52WuRnsj29Yg4KZs3kZTYj46I\ns2re7we6VET61w999bv/1yPjB7qYWata7VPfBpgMXDo4I3uG+tXAni3WbWZmZiPQalKfkv1cUjN/\naW6ZmZmZdUA7B5+p2/Y6d+7cp37v6+ujr6+vjSGYlVd/fz/9/f3dDsPMKqTVPvVtgXuB6RFxY67c\nxcDSiDik5v3uU68I96kXz33qZtaqVpvfFwKPADMHZ2QXys0Arm2xbjMzMxuBYZvfJU0Cts9ejgOm\nSpoGLIuIBySdChwr6S7gT8BxwErgvDbFbGZmZnUM2/wuqQ+4InsZrH9Sx9kR8cGszPHAh4HNgOtJ\nTfR31KnLze8V4eb34rn53cxaNaI+9ZZX5qReGU7qxXNSN7NWeex3MzOzinBSNzMzqwgndTMzs4pw\nUjczM6sIJ3UzM7OKcFI3MzOrCCd1MzOzinBSNzMzqwgndTMzs4pwUjczM6sIJ3UzM7OKaDmpS9pI\n0omS7pO0Ovv5eUnjiwjQzMzMmjPso1ebcCzpCW0fAG4DdgHOBp4ETiigfjMzM2tCEUl9OjA/Ii7O\nXv9Z0i+B3Quo28zMzJpURJ/6JcC+knYAkLQjsA/wqwLqNjMzsya1fKYeEd+Q9GLgTklrszpPiIhv\ntRydmZmZNa3lpC7pcOAQ4D3A7cArgdMkLYqI79WWnzt37lO/9/X10dfX12oIZgBIGrZMRHQgkub0\n9/fT39/f7TDMrELU6k5O0hLSmfnpuXmfBuZExPY1ZaNMO1UbvZRAh/pfquMJtIwxjYQkImL4IxMz\nswaK6FMXMFAzbyCbb2ZmZh1SxNXvPwc+JWkhcAep+f1I4JwC6jYzM7MmFZHUjwRWAGcCk4GHgbOA\nzxVQt5mZmTWp5T71Ea3Mfeq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# histogram of petal_width grouped by species\n", "iris.hist(column='petal_width', by='species', sharex=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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uXODpEbFhbdnewG87A7kkSVp3U7nPfGNg22r2u8B/AF8DbsjMqyPiCGCnzNyr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\nhvIDukeV43susAGl6xLW/Bt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# box plot of petal_width grouped by species\n", "iris.boxplot(column='petal_width', by='species')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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W6nm+L0Oes/o7odA9i/AHqO5ZKWkLc+uLjLxCl313f8TM6k3hGxLGq3i07FHgP4CtCX3o\nc6mX781ZfVDZFilpVb77QH3a7dkvMb9/9O/JhBHYM8DHzeyxyS+a2RNjs/dHy8YSyepnnqt+FzNb\nO2W7dd0Wij8R/hAdGOuTXiWR56xOi/7dN7H8gylp74/+nd/BdkQGqQxl/xzClftuhL5y3P1Bwt+B\njxEq47NbbOuU6N9kvlS+B6TllbaZPQb4NPAWwu0KtxCG+k+5e6a+mhLZxMxOIRTU7Qi3O53u7r8H\nMLP3EWJzsZn9mHAr1KaEwVmXA3tF6/lj9O+RZnYa4Uz3BEKF9y/gJDP7FuG2kXfQp2ak6Ex772i7\nV5jZMYTmvU0IzWgAL25znReZ2S+B/Sw8vvD/onXVz8TjfwDqcfhCFK9/Ab9399tbbEbNZzJoZSj7\n5wCfItxqFa+czyZU2ne7+yVzbcvdL4n27/1R+a7f8rV5yvdUvvshw60CnwLuJNyPuCnw6mj+k8Me\n+j6oidnbPrYmFMwZwi0e3wLWT6RdSDgbvQt4gDBAYynwwlgaA75KOAFaEU3127BeTrhn+gFCU9Rn\nCPdrrgB2ia3jWOC6NvdjMr6t2PJtgZ8R/tA8BFwfze8eS3No9N0ntVonsC5htPgdhL6z4wmjX1cC\n/5X4/sei/Xw0vo9RHk5J2YdlwJnDPiY0jcZUlrIffe9xhIrzfuAxseV7RPt4Usp3GrYFrA0sAW6P\nle+nkLjlK0qr8t3jyaJANWVmJxL6avaKLTsOmOfur5nzyyURPd3nU8ACd79tyNkpJDOrEP4gvc3d\nfzzs/IhkobIveZOlT/tU4MVmtiWAmW1DaA45Zc5vychKubcbwojYFaT3mYmISAYt+7Td/evRc2Wv\nNLNHo+981t2/2ffcSSZR39K6LZLd5u4rB5Ef4GNm9jxCU9ejwCsITX/fcveObokRkUY5LPvSZ1ma\nx/cnPPf2Q8BfCM/dPZzQN3lMIq2G+It0yd1zPxBHZV2ke52U9SyV9q2EK+sjYss+AUy6++aJtN5q\nfYMyMTFBtVoddjaYmppiamqqr9u48sorueWWW+ZMs/POO/Oyl70sFzGBwcQlq7wcKwBmVphKW2W9\n0aCP67nK/oc//GEOO+wwdt55Z9Zee+2B5SlNXsp7no6VTst6loerGGFUYNxKcj4sf5110rpVB29i\nYqLv29h6663ZeuutW6bLS0xgMHHJKk9xkfbl6fcb9HE9V9nfeOONefGL27pjs2/yUt7zdKx0Kkul\nfTxwcPRO1SsIzeMfJrzVJbcWLFgw7CwA+TlYIT8xAcVFeidPv5+O63R5iUueYtKpLJX2h4F7gKOA\nJxPuL/w24YEruTU5OTnsLOSOYpJOcSk2/X7pFJdGZYhJyz7ttlaWo34ukSJSn7bIaOi0rJf22eN5\nGWyQJ4pJOsWl2PT7pVNcGpUhJqWttEVERMpGzeMiOaLmcZHRoOZxERGRkittpV2GvoteU0zSKS7F\npt8vneLSqAwxKW2lLSIiUjbq0xbJEfVpi4yGvvVpm9m0ma1MmU7qLKsiIiLSiSzN488DFsSm7QEH\nftrHfHWtDH0XvaaYpFNcik2/XzrFpVEZYpLlfdp3xufNbB/gbuBn/cqUiIiINGqrT9vMDLgWOMnd\n90/5XP1cIl1Qn7bIaBjUfdq7AePA0e1uSERERLqT5S1fcfsAF7r7Zc0SVCoVKpUK4+PjjI2NUalU\nVr2Wrd6fMIj5eN/FMLafx/klS5YM7ffI83x92TC2X6vVmJmZYXp6mlqtRpGorOd7vlarccABB+Qm\nP3mYry8rclnP3DxuZk8CbgT2dffvNkmTmyazarW6KmASKCbp8hQXNY+3L0+/X54oLo3yFJNOy3o7\nlfZBwCeAjd39gSZpclOQRdKEYRnZDONYVqUtMhr62qcdDUB7N/CTZhW2SBG4e8N06KGNy1QhiUge\nZR2INgE8kwINQIv3YUigmKRbvLg67CxIF3Rcp1NcGpUhJpkGorn7MmDNPudFRERE5qBnj8vIM4O8\nHLbq0xYZDXqftoiISMmVttIuQ99FrykmzVSHnQHpgo7rdIpLozLEpLSVtkhWe+457ByIiGSjPm2R\nHFGftshoUJ+2iIhIyZW20i5D30WvKSbpFJdi0++XTnFpVIaYlLbSFhERKZtMfdpmtjHwP8ArgA2A\n64D3u/vZiXTq5xLpgvq0RUZD3/q0zWwM+APgwB7AVsB+wG3tbkwkj6amhp0DEZFssjSPHwTc7O6T\n7v4nd/+7uy9z96v6nblulKHvotcUk3R69nix6bhOp7g0KkNMslTarwUuNLOfmtmtZnaxmX2g3xkT\nERGR1bXs0zazhwhN418Ffgb8G3AEcLC7H5VIq34uKRw9e7x9Kusi3em0rGd5y9cawIXu/olo/hIz\n2xz4AHBUMnGlUqFSqTA+Ps7Y2BiVSoWJiQlgtmlC85rP03x48+xwtl+r1ZiZmWF6epparUaRqKxr\nXvPZ53tV1rNcaU8DZ7j7e2LL3gF8w93XT6TNzdl3tVpdFTAJFJN0ZlXcJ4adDUBX2p3QcZ1OcWmU\np5j084lofyCMGI/bAphud2MigzR/fmj6bjVBtnRmYZ0iIsOS5Ur7+cB5wBSzfdpHA4e4+zcSaXNz\n9i3Sj77qfvd/60pbZDR0WtazPlxlD+DzwJbA34Ej3f3IlHQqyJIbqrT7R2VdpDt9fWGIu5/i7hV3\nX9fdt0qrsPOmPhBAZikm6RSXYtPvl05xaVSGmOjZ4yIiIgWh92lLaal5vH9U1kW608/7tEUKyTHo\ncfXnsf+KiAxaaZvHy9B30WujFhPDw2Vxi6m6bFmmdLiHdUqujNpxnZXi0qgMMSltpS0iIlI26tOW\n0lKfdv+orIt0p6+3fImIiMjwtay0zWzKzFYmpn8MInPdKEPfRa8pJukUl2LT75dOcWlUhphkHT1+\nFfVXIQUrep8VERERmUuWZ49PAa93921brkz9XJIj6tPuH5V1ke70+z7tzczsZuBh4P+Aj7v79e1u\nTAbHrL1joax/gNsMQ0vz5vV2fSIi7cgyEO0CYE/gZcA+wALgPDPL9UsKy9B30Q13b5iWLVuWurys\nFXbGW6+Baua0d9017L2SpFEv680oLo3KEJOWV9ruflps9nIzOx+4nlCRH5ZMX6lUqFQqjI+PMzY2\nRqVSWfXS8XrAND+c+Vqtlqv85GW+bhjbr9VqzMzMMD09ver3KQqV9XzP12q1XOUnD/N1RS7rHd2n\nbWZnAle6+wcSy9XPlWNTU2GS1fW7n7od6tMWGQ19fZ92YkPrEK60j3L3zyY+U0HOsTxVTnmSp7io\n0hYZDX17uIqZfcXMdjGzZ5jZC4FfAOsCx3WQz4FJNocIQHXYGcip6rAzIF1QWU+nuDQqQ0yyjB5/\nCvBjYCPgduB8YEd3v7GfGRMZlD33HHYORESy0bPHR0iemoElnZrHRUaDnj0uIiJScqWttMvQd5HV\n/PnhKrrVBNVM6czCOkfFKB0rZaTfL53i0qgMMSltpT1Kli/P9mCQZcuyP3Bk+fJh75WIiCSpT7sE\niviM7WFp5/GuwziW1actMhr6/exxkVJQRSMiRVba5vEy9F30mmKSTnEpNv1+6RSXRmWIia60S8Ax\n6HGDqsf+KyIi+dBWn7aZHQJ8jvAI0w+mfK5+riFQn3Z5qE9bZDT0/T5tM9uR8GrOS9ElmIiIyMBl\nqrTNbEPgB8BeQCFuBipD30WvKSbpFJdi0++XTnFpVIaYZL3S/jbwc3c/i573noqIiEgWLfu0zWwf\n4D2El4SsMLNlwGXuvn9KWvVzDYH6tMtDfdoio6Ev92mb2ZaEgWcL3X1FfTFzXG1XKhUqlQrj4+OM\njY1RqVSYmJgAZpsmNN/beZhY9ZjS+nzQ+fy8efnZvzLP12o1ZmZmmJ6eplarUSQq65rXfPb5XpX1\nOa+0zWwSOAZYEVu8JmEg2gpgPXd/JJY+N2ff1Wp1VcAkMKviPjHsbOROno4VXWm3L0+/X54oLo3y\nFJN+PRHt18CF8e0AxwLXAJ+PV9giIiLSX20/e9zMqoQ+bd2nXTDqp84/XWmLjIZBvk/b0X3aIiIi\nA9d2pe3uu6aNHM+b+kAAiasOOwO5pGOl2PT7pVNcGpUhJqV9YYg02nPPYedARES6ofdpi+SI+rRF\nRsMg+7RFRERkCEpbaZeh76LXFJN0ikux6fdLp7g0KkNMSltpi4iIlI36tEVyRH3aIqNBfdrS0tTU\nsHMgIiLdKG2lXYa+i26YWcO0eHHjsvo0ykb9WCk6/X7pFJdGZYhJy0rbzD5gZpeY2d3RdJ6Z7TGI\nzEnn3L1hWrZsWepyNXOKiBRDlvdpvwZ4GPgroZKfBA4CdnD3SxJp1c8l0gX1aYuMhk7LekcD0czs\nTuBgdz86sVwFOceqVcjJW+mkCVXaIqNhIAPRzGxNM3sLsA5wdrsbG6Qy9F302tKl1WFnIZd0rBSb\nfr90ikujMsSk1fu0ATCzbYHzgbWBB4E3ufvV/cyYiIiIrC5TpQ1cBTwX2BB4I/ATM9vV3f+UTFip\nVKhUKoyPjzM2NkalUmEiapOtn+UMYn5iYmKg28vrfK0GMzNh/rjjAKqMj09EzeTDz9+oz9dqNWZm\nZpienqZWq1EkKuv5n6/LS35Geb5XZb3TPu3fAje5+16J5ernyrGpKd2rnXfq0xYZDYN+uMqaXXx3\nIJJnmgLT09VhZyGXdKwUm36/dIpLozLEpGXzuJn9D3AScBOwAfBWYBHw8v5mTXqtUhl2DkREpBtZ\n7tM+FtgVWADcDVwCfNndf5uSVk1mIl1Q87jIaBjofdpzZEIFWaQLqrRFRoNeGJJQhr6LXlNM0iku\nxabfL53i0qgMMSltpS0iIlI2ah4XyRE1j4uMhk7LetaHq4iIiBRGu68cLspJaGmbx8vQd9Frikk6\nxaXY9PulG/W4pL+CuPivJy5tpS0iIlI26tMWyRH1aYv0jxnk5bDt2y1fZnaImf3RzO42s9vM7AQz\ne3Zn2RQREemt+fNDhdxqgmzpzMI68yhL8/gi4Ejg34EXA48CvzOzef3MWLdGvT8njWKSTnEpNv1+\n6UYpLsuXhyvoVtOyZdVM6dzDOvOo5ehxd1/tGeNm9g7C40x3Ak7uU75EREQkoe0+bTPbGLgZWOju\n5yU+Uz+XSBfUpy3Svn70Vfe7/3uQjzE9HLgYOL+D7w7MkiXDzoGIiEhvtfVwFTP7KqFZfGGz0+xK\npUKlUmF8fJyxsTEqlQoTExPAbB/LIOaXLq2uehXlMLafx/klS5YM7ffI83x92TC2X6vVmJmZYXp6\nmlqtRpHkpawnf8dBbz+v87VajQMOOCA3+enn/DKMqkGYg2r0b3K+vqzZ5/H5ZQB4z/Lbq7KeuXnc\nzA4D3gTs6u7XNEmTmyazSqVKrTYx7GzkSrVaXXUQyaw8xUXN4+3L0++XJ6MUl6xN2e3EJK/N45kq\nbTM7HHgjocK+eo50Qy3IS5bA8ceH/z/rLFi0KPz/a18L0QmnSK6p0hZp3yj1abestM3sKODtwGuB\nK2Mf3evu9yfS5qYgT0zACN3xICWhSlukfaNUaWcZiPZ+YH3g98A/YtNH2t3YIM3MVIedhdyp6iwm\nleJSbKP++5lZW1NZZXtoSjXzw1Xm5fRJJFnu0y7k88kXLhx2DkRE+q9Zi4dZFfeJwWZmSLJeEefp\nMaadKvyzx8v6+jUZTWoel14pQwXVa3mKyci+T7v5WWZ+fhwREZFeKFTTd9aHwoeL72x9F3l9KHw/\njHrfXzOKS7Hp92umOuwM5FB12BnoWqGutO9anr0locrsjfJzWg71G+hFRPJs/vz2XmSRpfdw3jy4\n667O8ySDVag+7SIO6xdph/q0ZS76G9idqakw5UFfH67SRib6Xmn3ms4yJU9UactcVGlnl/dByoN8\nYcjQZH0Paoh9tvemjlKFrb6/dIpLsen3SzfqcXH3hmnZsmWpy4t0AlqoPm0RkVHmGPS4HcZj/5X8\ny/rs8V2AjwLbA5sAe7n7cSnpctNkVtYmHyk3NY/LXNQ8Xh79bh5fD7gU+BDwIDk6LWv+qL6pkXqE\nn4iMhqy3vRb9cZ2SLlOl7e6nuvsn3f2XwMo+56ktzfonXvayiUL3W/TDqPdxNaO4FNso/X4a19Od\nMhwrpeod9FwDAAAgAElEQVTTrlZn3+x1+umzQ/snJsIkIiJSZG3f8mVm9wIfcPfvpXyWm34uvZpT\nikh92tIr6qvOt9w8e7xSqVCpVBgfH2dsbIxKpcJEdJlbb5ro1/ySJVVqNRgfn+Css2ByMnw+OTkR\nVeL93b7mNd/ufK1WY2ZmhunpaWq1GkUyzLKu+dn5ucbqpH3k7rnK/6jM96qsl/ZK++Uvr3LaaRPD\nzkauVKvVVQeRzMpTXHSl3b48/X55org0ylNMRuLhKu1YsGDYORAREemtrPdprwdsHs3+Afgf4ETg\nTne/MZYuR2ffGnwmxaMrbZHR0Ndnj5vZBHBmNOvMPpNnqbu/K5ZOBVmkC6q026cTdCmivjaPu3vV\n3deIpjVj//+u1t8ejvpAAJmlmKRTXIpt6dLqsLOQSzquG5UhJqXt0xaR0fDPfw47ByKDU6hXc4qU\nnZrHs4k/SGnxYjj00PD/epCSFMVIvE9bpOxUabdPD1KSItItXwll6LvoNcUkneJSPNVqeEzx1BSc\ndVZ11f/rp5yl47pRGWJSqmePi8hoiDeDX3DB7HsGRMpOzeMiOaLm8ZbbTVl6KLC4Yan+FkmeqU9b\npARUabdPL8aQIup7n7aZ7Wtm15vZg2b2JzNb2O7GBqkMfRe9ppikU1zyZ/78UBlnmaCaKd38+cPe\nq8HScd2oDDHJVGmb2ZuBJcBngQpwHnCqmT2tj3nrStHemDQIikk6xSV/7lpuONmmw9g1U7q7lue+\nAaOndFw3KkNMsl5pHwgc6+7fdfer3X1/4Bbg/f3LWndmZmaGnYXcUUzSKS455J55+jCHZk8/QnRc\nNypDTFpW2ma2FrA9cEbiozOAnfqRqV6Ynp4edhaAfDXH5CUmoLhIZ8ysYYLFTZYPno7rdHmJS55i\n0qksV9obAWsCtyaW3wbk9gWYeWkGycvBCvmJCSgu0hl3b5i222671OXDoOM6XV7ikqeYdKrl6HEz\n2wS4CdjF3c+NLf8U8FZ33yq2bLTan0T6oCijx4edB5Gi66SsZ3m4yh3ACuDJieVPJvRrd5UBESke\nlXWR4WjZPO7u/wL+DOye+Gg3wihyERERGYCsjzH9KvB9M7uQUFG/j9Cf/c1+ZUxERERWl6nSdvef\nmdkTgE8CGwOXAXu4+439zJyIiIjM6uljTEVERKR/SvtqThERkbJRpS0iIlIQqrRFREQKQpW2iIhI\nQajSFhERKQhV2iIiIgWhSrvAzGzKzFa2+Z0JM1tpZrv0K1+9YmZVM7ty2PkQyZtOyv4gtmVm02Z2\nbMa0Kt8dUKVdfIW+0d7Mton+KDy9SZJC759IHw2qbHgb21otrcp376nSLr6iv7hhG+BTQLNCLSLp\nBlX2Pwus2+F3Vb57LOuzx0X6regnHyKl5O4rCG967IbKd4/oSrsFM1vfzL5iZteb2UNmdpuZLTOz\nF8XS7GBmp5jZjJk9YGbnmNlEYj1TUV/y1mb2oyjtXWb2TTNbL5H2NWZ2opndGG1z2sy+ZGZr93E/\ntzCzn5nZHWb2oJldZGavT6SZrPeHm9lXzex2M7vPzH5lZhsl0q4R7fM/zOx+MzvTzJ4d7/Mys0ng\nZ9FXlkXrXmlm70ysa5vo+/eb2U1m9l/9ioNIXZnKvpltaGYrzOzA2LL1zOyRqAw/Jrb8M9HfgLXi\n+U9Z5yej8riqfCc+n0Tlu+dUabf2DWA/4JfA+4EvArcBzwUws0XAOcAYsBj4GLA2cEb0WdJPgA2B\nQ4BfAO9h9sCumwQeBA4HPgicCXwYWNqzvYoxs62B/wOeTdi/A4E7gZ+b2dtSvrIE2BY4lBCfVwNH\nJtJ8gdAs9kfgo8A1wGnA45jtxzoL+Fr0/58D3h5NZ8fWMwacAtSifF0FfNHMXt7Z3opkVpqy7+53\nA5cC8QGoOxHqgHWB58eWvwi4MHot86pVxNdnZp8BPg1cTCjffyOU7/hJiMp3P7i7pjkmYDnwtSaf\nGeEgOyOx/LHA5cAfYsumgJXAyYm0i6PlL4ktWzdlW4cQmqiemlxnm/szEW1vl9iyMwhvbls7kfZ0\n4MbY/GT03eT+/i/wCLBBNP/kaP74RLpPRd8/JrbsDcn8xD6rRp+9PRHbfwA/H/axoancUwnL/teA\nO2Lz9Ur3KuCgaNlawAPAZ5ptC3gi8DBwQpP9Ufnu46Qr7dZmgB3NbJOUz7YDtgB+bGYb1SfC2fTv\ngBea2TqJ7ySvSOtnoq+sL3D3B2FVE/OG0Tr/QPhD8W9d71GMmc0HXgL8HNggsR+nA08xs80TX/tu\nYv5cYE1mB5u8JJr/RiLdER1k8QF3/0F9xt0fAS4ENutgXSLtKFvZPxeYH2vG3oVw1XsOs1fgzwfW\niZY181JC5fr1xPKvpaRtReW7TRqI1tp/AccBN5jZxYQmoO+7+zWEQguNlVidA08Abo4t++tqCdzv\nNLPlwHh9mZk9B/gSsIjGUZsbdrYbTT2L8AdhKpqSHHgSq+f7hkSa5dG/86J/65X331ZbkfvyaF/b\ncXPKshmiJkqRPipb2a9XxLuY2V+BFxAq2vWAr5mZEZrGVxBOFJqpl+9m+9MOle82qdJuwd1/YWbn\nAP8B7A7sDxwUDbKo9/N8DPhzk1XckWEzq0ZWmtmGwDLgXuDjhIrvQeCphH6tXreO1Nf3VULfUpq/\nJOabjSTNMkK03VGk3WxLpGNlK/vufouZ/Y1wQnAp4Yr6bGADwgnBdoRKu+bu93e4GZXvPlOlnYG7\n3wp8G/h2VLAuIPTfvDVKcp+7n5lxdVsQuwKNmr/GgOlo0a6EM/TXufs5sXS7dbMPc7gu+ndFG/vQ\nyt+jfzcHrq0vNLMnEPY1Tg9XkNwqYdk/B3g5oS/7ane/A7jDzG4ijHfZCWj1RLN6+d6C1ct3fX/i\nVL57TH3ac6j3K8WXeRiFOU04M/0zoRAeaGbrp3z/iSmr3S8xv3/078nRv/Uzz1W/jZmtQRhZ2XPu\nfhvh7H6ftL67JvvQyu+ARwkjbuOS+w5QP6Of3+Y29MdA+qbEZf8cYGPCoNKzEsvfR6h0z2782mp+\nSxhoum9i+f4paVW+e6zllXZ0/96ngbcQfuxbgB8CUx5uui+zxwM3m9kvCM1J9wA7Ay8DjnB3N7O9\nCX1dV5jZMYQ+mk0ITVAAL06scxMzO4VQULcD3g2c7u6/jz4/l3C71XFmdgSh8nsDq99K0WvvJ/Rh\nXWpmRxOuvp8EvBDYmnDFnJm732ZmhwMfMbMTCPHZDngFockwXiAvIvyxOsTM5hGaAy9w9+no82bN\nZGo+k34qa9mvX8FvCXwmtvxs4P8Ryua5c63A3e8ws68QyuxJwKmsXr7jZVPlu9daDS8n3KZzJ2GE\n46aEe3LvBD457KHv/Z4IIyS/SDjwlgP3EQrwh4E1Yum2JdxveRvwEHB9NL97LM0U4faGrQknPTPA\nXcC3gPUT230BoXDdRzhJOhJ4TvT9d8bSHUpo1m5nnyYIhWiXxPKnA/U/PA8DNwInAW+OpZmMvvuC\nVuskXC0sJty+cT/we8IjDW8Hjkp8f5JwH/cj0XreGS1fBlyRsg/HAtcN+/jQVN6pjGU/9t2babyF\nbJtoG5enpG/YFqFS/e9oXfHyfT2xW76itCrfPZwsClJTZnYi4d6+vWLLjgPmuftr5vyyrGJmU4QT\noAUemqRHjpmNEf5YfcLdvzDs/IgMgsq+9FKWPu1TgReb2ZYQHjlHGDDRbKSxCCn3qAIcEP1bHWBW\nRERKo2Wftrt/3cyeClxpZo9G3/msu3+z77mTzCw8w3iDFsnu9PDwgkF4S3RrzMmE5rOFhHERp7v7\n+QPKg0jp5bDsSx9lGYi2P7AX4Q/uXwhP5TnczKbd/Zg+569M2nknbSf+i9AEN5cJWo8M7ZVLCH1Y\nBxEG9fyT8MzyTw5o+yJ5MWplX/ooS5/2rYQr6yNiyz4BTLr75om0GqYv0iV3z/3IWZV1ke51Utaz\n9GkbYVRh3EqaDMkf9si6+rRo0aKh58HdOfTQQ4eeh7zFZJhxaUfe8zdswz6GdFwrLkWOSaeyVNrH\nAweb2R5mNm5m/0m47eHXHW91ANZZJ20c1OBNTEwMOwur5CUmMLy4pBWeZz7zZT0tVDJYOq7TKS6N\n8hSTTmV5jOmHCQ8WOIrwysVbCI/1+3Qf89W1BQsWDDsLQH4OVshPTCBfcbn22vzERdqn4zqd4tIo\nTzHpVJbR4/cTXnL+0f5np3cmJyeHnYXcUUyamRx2BqQLOq7TKS6NyhCTlgPR2lqZmatZUYrGDPJy\n2JoZXpCBaCrrIp3rtKyX9oUh1Wp12FnIHcWkmeqwMyBd0HGdTnFpVIaYlLbSFhERKRs1j8vIm5oK\nUx6oeVxkNHRa1lVpi+SIKm2R0aA+7YQy9F30mmKSTnEpNv1+6RSXRmWISWkrbRERkbJR87hIjqh5\nXGQ09K153MymzWxlynRSZ1kVERGRTmRpHn8esCA2bU94zdxP+5ivrpWh76LXFJN0k5PVYWdBuqDj\nOp3i0qgMMWlZabv7ne5+W30CXgncDfys77kTGYDjjht2DkREsmmrT9vMDLgWOMnd90/5XP1cUjh6\njGn7VNZFujOoW752A8aBo9vdkIiIiHQny6s54/YBLnT3y5olqFQqVCoVxsfHGRsbo1KprHotW70/\nYRDz8b6LYWx/2POhUSQ7d89V/gc5H0wMZfu1Wo2ZmRmmp6ep1WoUicp6vudrtRoHHHBAbvKTh/n6\nsiKX9czN42b2JOBGYF93/26TNLlpMqtWq6sCJsHkZJWlSyeGnY3cMaviPjHsbABqHu+Eyno6xaVR\nnmLS98eYmtlBwCeAjd39gSZpclOQRebPh+XLe7vOefPgrrt6u844Vdoio6HTsp6peTwagPZu4CfN\nKmyRvFm+vPcDzNrsdRAR6amsA9EmgGdSoAFoq/dXCigmzSguxabfL53i0qgMMcl0pe3uy4A1+5wX\nERERmYOePS6l1Y/7r/t9T7f6tEVGg17NKS1NTQ07ByIi0o3SVtpl6LvotcWLq8POQi7pWCk2/X7p\nFJdGZYhJuw9XESkMx6DHDc0e+6+IyKCpT3uE5OkZ24OgPu3+UVkX6Y76tEVEREqutJV2Gfoueq86\n7Azkko6VYtPvl05xaVSGmGSqtM1sYzM7zsxuM7MHzewvZrZLvzMn2cyfH5ptW02QLZ1ZWKeIiORL\nyz5tMxsDLgLOBo4Ebgc2A25x96sSadXPNQRF7LsdhH48clTPHg9U1kW6089njx8E3Ozuk7Flf293\nQyKDlrVOKcMJioiMhizN468FLjSzn5rZrWZ2sZl9oN8Z61YZ+i56TTFppjrsDEgXdFynU1walSEm\nWSrtzYB9gb8BuwOHA/9ThIpbRESkTLI0j68BXOjun4jmLzGzzYEPAEclE1cqFSqVCuPj44yNjVGp\nVFa9dLx+ljOI+YmJiYFub5jz4SVsrdPXlw07v3mbzxq/fszXajVmZmaYnp6mVqtRJCrr+Z+vy0t+\nRnm+V2U9y0C0aeAMd39PbNk7gG+4+/qJtBqcMgQaiNadPO2rBqKJjIZ+PlzlD8BWiWVbANPtbmyQ\nkmeaZRYe19l6qma938ssrHNE7LlnddhZkC6MUllvh+LSqAwxyVJpHwbsaGYfN7NnmdkbgQ+S0jQu\nw2F4uFRsNS1bli2de1jniJicHHYORESyyfTscTPbA/g8sCXhdq8j3f3IlHQDbzKzNm/GLWOTnprH\ny0PN4yKjodOyrheGlIAq7fJQpS0yGvTCkIQy9F30mmKSTnEpNv1+6RSXRmWISWkrbRERkbJR83gJ\nFPEZ28PSzhiIYRzLah4XGQ1qHk+Ymhp2DgYn44DwttKWscKGUBFnnURE8qa0lfbixdVhZyGHqsPO\nQC6VoZ9rlOn3S6e4NCpDTEpbaYuIiJRNafu0dctSI8Uk/9SnLTIa1KctIiJSci0rbTObMrOViekf\ng8hcd6rDzkDu6Bnb6crQzzXK9PulU1walSEmWV7NCXAV9fcXBit6n5XW5s+H5cuzp89yd09Zb21K\no2dsi4gUW5ZXc04Br3f3bVuurM/9XHpcp5Sd+rRFRkO/+7Q3M7Obzew6M/uxmT2j3Q2JiIhId7JU\n2hcAewIvA/YBFgDnmdn8fmasW2Xou+g1xSTdkiXVYWdBuqDjOp3i0qgMMWnZp+3up8VmLzez84Hr\nCRX5Ycn0lUqFSqXC+Pg4Y2NjVCoVJiYmgNmAdTq/DKNqs53r1ejfbuaXhb3sSf7yPl+r1XKVn7zM\nR2EZyvZrtRozMzNMT0+v+n2Kop9lXfPdz9dqtVzlJw/zdUUu6x3dp21mZwJXuvsHEsvVp51jU1Oj\n9XjXrPIUF/Vpi4yGTst61tHj8Q2tA2wNnNnud2Vwmr0YY/Hi9PSj9ge4Wg0TrB6TiYkwiYjkUZbR\n418BTgBuBJ4E/DewENjW3W9MpO37lXZ2VVa/Sy3dKN3yVa1WVzXXyKzJySpLl04MOxuArrQ7oeM6\nneLSKE8x6eeV9lOAHwMbAbcD5wM7JivsQWjnb8QoNXuLiMho0LPHZeRVq/lpEteVtsho6LSsq9IW\nyRFV2iKjQS8MaVAddgZyJ3nbgwSKS7Hp90unuDQqQ0xKXGmLiIiUS2mbx/N0761IVmoeFxkN6tMW\nKQFV2iKjQX3aCWXou+g1xSSd4lIcZpZ5GnU6rhuVISalrbRFpHzcvWHac89lqctFyqit5nEzOwT4\nHHCUu38w5fOBN5m1e0atwix5puZxkdHQ92ePm9mOhFdzXkr9tVg5oD8cIiIyKjI1j5vZhsAPgL2A\n5X3NUY+Uoe+i1xSTdIpLsen3S6e4NCpDTLL2aX8b+Lm7nwXkvulORESkjLK85Wsf4D2El4SsMLNl\nwGXuvn9KWvVziXRBfdoio6EvfdpmtiVh4NlCd19RX8wcV9uVSoVKpcL4+DhjY2NUKpVVr0KrN01o\nXvOaD/O1Wo2ZmRmmp6ep1WoUSV7K+tQUTEwMbnua1/wwy/qcV9pmNgkcA6yILV6TMBBtBbCeuz8S\nS5+bs+9qjt6bmheKSbo8xUVX2u0zq+I+Mexs5E6ejuu82G+/KkceOTHsbAD9Gz3+a+DC+HaAY4Fr\ngM/HK2wREZE8O/fcYeege20/xtTMqoQ+7Vzcpy1SJrrSbp9ewytZTUxAXgaQ9/0+7RgnR/dpi4iI\nNLNkCRx/fPj/s84KFTfAa18LBxwwtGx1rLQvDFF/TiPFJF2e4qIr7fapTztdno7rvKhUqtRqE8PO\nBqAXhohIicyfH5q9s0yQLd38+cPdJ5FeKO2VtkgR6Uq7vv7e91Or71uWLMlPk7jepy1SAqq06+tX\npS3dyfvLpNQ8nlDNyxDBHFFM0ikuxabfL92ox6Wd17gW6WKztJW2iIhI3HHHDTsH3VPzuEiOqHl8\n1Qb6s94S/n3KezNwnuSpi2SQ92mLiPSV4f3p0+7tKnNhlCvhUVTa5vFR789Jo5ikU1yKTb9fusnJ\n6rCzkEPVYWegay0rbTP7gJldYmZ3R9N5ZrbHIDInIiKdKUP/rTTK8j7t1wAPA38lVPKTwEHADu5+\nSSKt+rRFuqA+7fr6dctXt0Zpf+fPh+XLe7vOefPgrrt6u864gd6nbWZ3Age7+9GJ5aq0RbqgSru+\n/t6vs99/hPNmlCrtIp7kDeQ+bTNb08zeAqwDnN3uxgZJ/VyNFJN0ikv+uGefoJop3ShV2EF12BnI\nnTKU9Uyjx81sW+B8YG3gQeBN7n51PzMmIiIiq8t6y9dVwHOBDYE3Aj8xs13d/U/JhJVKhUqlwvj4\nOGNjY1QqlVVvmqmf5QxifmJiYqDbK8J8fVle8qP5KrVajZmZGaanp6nVahRJXso6jE5Zf93rJqK+\n2zAPE9G/6fOz3QzN08+bB7/6VT72r9P5ZRhVaxWN9uaXAfWbBPNU1jvt0/4tcJO775VYrj5tkS6o\nT7t96rvN3zoHrYhxGfSzx9fs4rsDUT/TkVmKSTrFpeiqw85ALum4blSGmLRsHjez/wFOAm4CNgDe\nCiwCXt7frImItLbnnsPOweA4Bj1uh/HYf4us13cczJvX2/X1Spb7tI8FdgUWAHcDlwBfdvffpqTN\nTZOZSBGpeVzmUsRm4DzJ077qfdoiJaBKW+aiSrs7edpXvU87oQx9F72mmKRTXIpNv186xSVNddgZ\n6FppK20REZGyUfO4SI6oeVzmose7dkfN4yIiQzY1NewcDE57j3fNlq6sFbaZNUzQuGz2s2IobaWt\n/pxGikk6xaXYFi+uDjsLOVUddgaGyt0bpmXLlqUuL1KrUWkrbRERkbiCPSk4lfq0RXJEfdott5s5\n7aj/LcpT/21eTE3lpzulb33aZnaImf3RzO42s9vM7AQze3Zn2RQR6Vyzps0iN3eKtCNL8/gi4Ejg\n34EXA48CvzOznD7kLVA/ZSPFJJ3iUmz6/dLtuWd12FnIhWp19gp78eLqqv8v6mHT8tnj7r7aM8bN\n7B2Ex5nuBJzcp3yJiEgXJieHnYN8mJgIE8D0dH6axzvVdp+2mW0M3AwsdPfzEp+pT1ukC+rTFumf\nkejTTnE4cDFwfgffFRERGYr6FXeRtWwejzOzrxKaxRc2O82uVCpUKhXGx8cZGxujUqkwEUWq3vc0\niPl4P9cwtp/H+SVLlgzt98jzfH3ZMLZfq9WYmZlhenqaWsHuR1FZz8d8uw8Gcfdc5X+Q80Gxy3rm\n5nEzOwx4E7Cru1/TJE1umsyq1eqqgEmgmKTLU1zUPN6+PP1+eaK4NMpTTPr6ak4zOxx4I6HCvnqO\ndLkpyCJFpEpbZDR0WtZbNo+b2VHA24HXAneb2YLoo3vd/f52NygiIiKdyTIQ7f3A+sDvgX/Epo/0\nMV9dW70PQ0AxaUZxKTb9fukUl0ZliEmW+7T1fHIREZEc0LPHRXJEfdoio0Hv0xYRESm50lbaZei7\n6DXFJJ3iUmz6/dIpLo3KEJPSVtoiIiJloz5tkRxRn7bIaFCftoiISMmVttIuQ99Frykm6RSXYtPv\nl05xaVSGmGSqtM1sFzM7wcxuMrOVZrZnvzMmIiIiq8v67PFXADsTXsn5PeD97v69lHTq5xLpgvq0\nRUZD3549DuDupwKnRhta2u5GREREpHvq0x4hikk6xaXY9PulU1walSEmpa20RUREyiZT83g7KpUK\nlUqF8fFxxsbGqFQqq146Xj/LGcT8xMTEQLdXhPn6srzkR/NVarUaMzMzTE9PU6vVKBKV9fzP1+Ul\nP6M836uy3vbDVczsXuADGogm0nsaiCYyGvRwlYTkmaYoJs0oLsWm3y+d4tKoDDHJ1DxuZusBm0ez\nawBPN7MKcKe739ivzImIiMisrPdpTwBnRrMO1C/pl7r7u2Lp1GQm0gU1j4uMhk7Lul4YIpIjqrRF\nRoP6tBPK0HfRa4pJOsWl2PT7pVNcGpUhJqWttEVERMpGzeMiOaLmcZHRoOZxERGRkittpV2Gvote\nU0zSKS7Fpt8vneLSqAwxKW2lLSIiUjbq0xbJEfVpi4wG9WmLiIiUXOZK28z2NbPrzexBM/uTmS3s\nZ8a6VYa+i15TTNIpLsWm3y+d4tKoDDHJVGmb2ZuBJcBngQpwHnCqmT2tj3nrStFeczgIikk6xaXY\n9PulU1walSEmWa+0DwSOdffvuvvV7r4/cAvw/v5lrTszMzPDzkLuKCbpFJdi0++XTnFpVIaYtKy0\nzWwtYHvgjMRHZwA79SNTvTA9PT3sLAD5ao7JS0xAcZHeydPvp+M6XV7ikqeYdCrLlfZGwJrArYnl\ntwELep6jHslLM0heDlbIT0xAcZHeydPvp+M6XV7ikqeYdKrlLV9mtglwE7CLu58bW/4p4K3uvlVs\nme4BEelSUW75GnYeRIquk7L+mAxp7gBWAE9OLH8yoV+7qwyISPGorIsMR8vmcXf/F/BnYPfER7sR\nRpGLiIjIAGS50gb4KvB9M7uQUFG/j9Cf/c1+ZUxERERWl6nSdvefmdkTgE8CGwOXAXu4+439zJyI\niIjMyvxENHf/hrs/w93Xcfcd4oPS2mFmVTP7WiffLZKi7mf01LsDe7i+qpkdkSFN32JlZkvN7MQe\nrGfCzFaa2fw2vjNpZvd2u+0iKmoZaFdR91Nlfc715Las9/qFIUuBJ7j7q+dIMwY84u7392zDbciS\nx16sY9j72amoReUBd3+wR+u7BXjQ3TebI01fY2VmGxCO9Xu6XM9jgXnuflsb31kHWN/d7+hm23lT\nhDKgsj43lfU515Pbsp61Tzsrj6YGZraWu//L3Yv/SJqC7qeZPcbdH50rjbvfOcD8tIyVma0R5Wtl\np9tx9znPfuv5yLCeRwjPJ2hn2w8BD7XznYIoZBnoQCH3U2V97nxkWE9+y7q792wClgInxP7/ROBj\nhPu8/xktrwJHxL7zOuBS4AHgzujzJ82xjW2B3wN3A/cCNWAi9vk2wMnAPYQHwvwIeHL02RSwMjHt\nElvv72L5OBZ4fJPtPhL9OxHbzz8CjxIK+DXAtZ3uZ5TnXySWrQHcCBwQzRtwEPC3aJ2XAm+LpR+P\n9u8twJlRmn2BDYHvR7F5MMrnh2LfmwY+EpvfEPgG8I8o/RXAmxL7dRnhYL0B+Hgi37cA18WOidMI\ndyOsjGL1W+DCeqyAyWg718fSXNhlrJYCJ8Y+rwJfB75CKJj/Fy1/JXB1tP1lwJujPGwafT4Rzc+P\n5fVe4MXA5cB9UazHY9uaBO5N5G8P4P+i3+QO4ARg7eiztxOOpfrx+zNgk16WU5V1lXWV9eKW9X6/\nmnMR8BzC7WIviZatOnM1swXATwiFZitgF+B7Ldb5I+BmYAdgO+BQorMbM9sYOJtwUO8QbXN94Ddm\nZsCXCYH5LWH0+wLgfDNbDzidELwdgP8kPKL1mCbb/Q3hB6+fVS0C1iIUmpcCnwA2BbbucD+/D7zS\nzB4fW7Yoyu+Po/nPAnsRCufWwBeAb5nZHol1fQE4Mkrzm+h7zyEctFsA74r2qy7++xhwCvAiwgG5\nFWz8iKAAAAr6SURBVPAh4OHo8+cR4vmLaJ0HA4eY2X5z7NtLgGcC7wReSziYn8vs+IoNgXWi/38d\n8ApC3JrJEqu0q6W3R8sWAu80s02BXxH+KD+XELMvpXwvaW3Cfk8C/w6MMcddFWb2csLvcDrh8cCL\nCIW/vv+PBf47ysOrCE8k/HHjmnJHZb2z/VRZD1TWs5b1Pp993wo8NpFmGfC16P+3J3Z2k3EbdwPv\nbPLZp4HfJZbNi7bx/LQzsWjZPsAMsF5s2aLoe5slt5txP/8O3NDJfhK6Lf4JvCu27DvAadH/r0co\nADsnvrcEODlx9v3hRJrfAN+dY9vXAwdG/78b4cE6WzZJ+8OUeB8K3Njk7PuXhIKxKPb54wlXM7+L\nfd+BV/QiVnOcfdcS6/kC8JfEskNoffa9Etg89p23Ag/F5ieJnX0DfwB+1MbxvlW0jVxdbWcsAyrr\nXR6/qKyrrCemfl9pX+6hb6CZGqGZ6nIz+4WZvc/MNgIws03N7D4zuzeaDo6+81XgO2b2ezP7uJlt\nGVvf84BdYt+5l9CM44Qzvma2Bi7x1QdHnE8I4DbJ7RKaz9aL7yewd/Se8dui7T6VcObf9n566Iv6\nKfC2KM3ahDPRH0Tr24Zwhnp6Yl/fByQHgfwpMf8N4M1mVjOzL5vZLnPE5d+AW9z96iafb0U4MOP+\nADzFzNZPST9G+C1W3XngYcDI/UB9lGb99/ppj2KVxgnNdsl9+WNi2YVzrKPuYXf/a2z+FmCtaMBN\nmgqh6TWVmW1vZr8xs2kzuyeWp00z5GWYVNY72E+VdZX1dst6rweiJT0w14ceBhzsbmY7EprV9ga+\nYGaLgL8Qmg3qlkffWWxmPyQ0pbwMONTM3ufuxxL6fk4CPpqyufiggrRmkGaPZfSU7R4EVMxsryjN\nGHAY8BHCw2fuAc4inFl2tJ+EA/F8C89+35HQJPer6LP6ydarCAd+XPIP52qjNN39NDN7erQfLwFO\nNrOfu/u7mux/K3PGrQ0e+/d+Qpx6EatmkqNXneb7MpfkYJ/6frR9Qhxruj2D0KR3G/BE4BzCPuWZ\nynqH+4nKusp6G2W931fambj7Be7+aXffgTAI4s3uvsLdr4tNy2Pp/+buR7j7q4DvAu+OPrqI0N9y\nQ+K717n7fVGaf9F4snIFsG3ijHEnQnyuTG6XcPZ0Q2y78wkDHL7u7jV3vw5Yt5v9dPc/Egae/D/C\nmeXx7l7/w3gFoa9pPGU/Wz7wxt3vdPcfuPte0T7saeEWh6SLgY3NbKuUz4his3Ni2UJCk1naLR0z\nhMKy6pWuFvqn1gPuSuSxV7HK6irg+YllL2hzHVlcTOgLTbMV8ATCAJ9z3f0aGp/5X2gq6yrrqKxD\nF2W9H1farc5grJ4mOht9KWGU4W2EJpqnEc6yGr8Y7oP7X8KAiL8TdnIhcEGU5ChCn9VPzeyLhNF6\nmwFvJIySvI/Qj/NyM9uCcPDMEPprFgPfs/D2svnAt4Bfuvt1ZrYuYfRhfbsbEQL+W8JZ0X3A9hYG\nHlxLGKQyRnSG1+5+xvww2p+nEwbMAOG2BjP7CvAVMzPC2dn6hDPPFe5+dLMVmtmnCc1FVxB+/9cB\n13p60+bvCCMff2lmHwb+CjwLeJy7/4bwW/zRzA4lDKDYATiQ0D+0apPMHhP3EvqkvmVm7yH0HX6O\n0Jd2TZTmmYQmp+fTg1g1CwONx+k3gQPN7MuEfrJnA+9hjlt+OvQ54EQz+xshZkboT/wWoXJ4GPig\nmX2d0JT7mR5uu9dU1lXWVdab609Z94yd5Fkmwsi/E5L/n0gTH5yyFWHE4j8JozOvAT46x/ofS/jB\nro/S30z4AdaPpXkW8HNCIX2AcFZ1ONHgEUIhrI8eXcHsbSDPYfY2kLsIo0k3aLLd+wm3S6wf7eeJ\nhB//LkIzztHAdcDdnexnbF+eQehruwVYI+Xz/QgH+EOEg/504CU+OzhlBbB94jsfJ/TL3U+4HeUk\nYoNPiA1OieY3BL4drf/B6LtviH3+n4QRvA8T/sgdkthefHDKsVEclsZ+nzMIfyzqx8QhhGa/nsWK\nxLFI7BhMpIvfBnIWYcTuSuCJPjs4ZQWrD065J7GOLGleTeh/fAi4HTie2dtA3kS4kniQUEHtTuw4\nzcuEyrrKusp6ljQ9L+s9fSKaSJmY2YeAKXefN+y8iEj/FKms93sgmkhhmNkHCCM4byc0P36ScKUg\nIiVS5LKuSltk1jMJTXZPIDzZ6xuE+4FFpFwKW9bVPC4iIlIQubjlS0RERFpTpS0iIlIQqrRFREQK\nQpW2iIhIQajSHgIzq5rZymjqx+Pz2mZmU2Z2WY/XV9/Hj/RqvSJForIuvaZKezic8BSmBYRnKOfB\nlwnv/u3l+jYm3E6hWxRkVKmsS0/pPu3hecDdb2udbDA8PPQ/7cH/Xa3PzFb0ap0iBaWyLj2jK+2c\nMLNPRe9VfcjMbjGz42KfVc3sG2Z2uJndFU1fil4gUE+zlpl90cxuNLP7zexCM9s9sY2tzOwEM5ux\n8I7a88zsOdFnDU1mZraXmV1hZg+a2dVmdkBim+81s2uiz283s9PMbM3+RUmk+FTWpRu60s4BM3s9\n4f28bwEuI7zR6IWJZG8jPAx/R2A7wosKbiG825fos2cQXll3E+GB+Cea2Q7ufqmF98+eS3hL0EsJ\nD/HfAUgteGa2D+FtSPsR3hS0bbTNR4CjojfzHAm8M1rvPGDXbuIgUnYq69K1Yb8taBQnEm+eIbzi\n7irgMU3SV4GrEss+QXiXLYRH8q0AnpZIczxwVPT/nyO81afZNqaAy2LzNwBvS6Q5APhL9P+vI7zq\ncP1m+xmlW+1NQpo0jdKksq6p15Oax/PhZ8A6wPVm9h0ze4OZrRX73Jl9j3DdBcBTzGx9YHvCu1qv\niJrC7jWze4E9CO8YhvCu2nPd/dFWmTGzJwJPBb6dWN8XYus7g/B6vuvN7Adm9s4oLyLSnMq6dEXN\n4zng7jeZ2ZbASwjNWf8LHGpmL3T3B6JkyRe5x61BKOzPJzRpxT1Y30yLdSTXB/Be4Lwmeb7PzLYn\njELdjfDw/c9HTXS3ZNyOyEhRWZdu6Uo7J9z9YXc/xd0PJPQ/PRvYKfrYaOz32hG42d3vAy6O0mzs\n7tclpnqhuhhYaGaPzZCXW4F/wP9v7+5BowiDAAy/U6RRbFIGS1ttxFa0FwQbCxtFCDZaKUJAUgRB\nREQQtFGwUBCblKnkRBA0TVD8AWNEGzt/CkUQZCxm1RMScnAX9za8T3XHDXvDwvBx38x9y45Vrve2\nL+5nZvYycwbYBWyl+muS1mCtaxj+0h4DEXGUGhJZBL4Ch4EfwHJf2FREXKEeIbcTOA3MAWTm64i4\nA9yKOtxgCZgE9gErmTkPXANOAPci4jzVo9oDvMzMp6ukNQtcjYgvwAIwQW3NTWXmhYg4QPXXHlKD\nLvuBbcCrUdwTaTOy1jUsF+3x8Bk4C1yiCuYFcCgz3zefJ3CbKvbHzfsb/J0mBThGDaxcpHpUn4An\nwH2AzPwQEXupgxB6zTWeAdN93/HnYITMvBkR34AzVH/rO/CcmiL9nfNB4BywBXgDHM/MR0PfDWnz\nstY1FJ+n3YKIeEBNb54cML7XxJ/a0MQ2QES8o6ZnL7edi/S/WesaNXva7UhgupnU3D1AfDD4YMlY\niIiZZgp1e9u5SC2y1jVSbo+34wj1tw+owxHW8892VkdcB+42rz+2mYjUImtdI+X2uCRJHeH2uCRJ\nHeGiLUlSR7hoS5LUES7akiR1hIu2JEkd8QsC4AB+LVSVwwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# box plot of all numeric columns grouped by species\n", "iris.boxplot(by='species')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# map species to a numeric value so that plots can be colored by species\n", "iris['species_num'] = iris.species.map({'Iris-setosa':0, 'Iris-versicolor':1, 'Iris-virginica':2})\n", "\n", "# alternative method\n", "iris['species_num'] = iris.species.factorize()[0]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jIl7//v2Juy3O2bz6O4h9IdZZYWMOsAO4EarXr17gnL59+hL/UjwsBLZB3G1x\n9OvXr/SD9xvSfwjuf7thA7Ac3JPcDOk3pMziMYGzzXMclvCNMWE3bco0BiUNovKplUm5PIXpU6Yz\nfux4oi6KgsZQ69ta/Di34FTozp078+LjL5JyZQqVT63MoMRBvPBEqUxmLtT9d9/PyDNGktQxieoD\nq/PQLQ8xePDgMovHmGDZGL4xxpgyF84x/NeHh1bH5W9UjN3ybAzfGGNMhVaRuuVDYQnfGGNMhWYJ\n32Fj+MYYY8wJwBK+MSYk+/fvp9pJVZEEQRKFTl078cwzzxBTIwZJEKo1rsaqVauOOu/TTz+lQesG\nJNZKZNBlg9i/f/9xXf+qq68iKjkKqSy0at+K3377jW59u5FYM5FWHVqxdOnSo85Zs2YN7VPbk1gz\nkXbd2hUa34oVKzil0ykk1kyk49kdWb9+fbGxZGVlMeK6ESTXSaZ209q89sZrx3VPpmTZLH2HTdoz\nxoQkpXEtdp60y9keZDfQH9gP/BfoCDwE7nfcHNp26PA5v/zyCx1SO5DxRgacArH/jqXXgV588s4n\nQV37/vvv576n7oOPgRrAlRD7ayzeG714R3thDiTfnsyaFWuoUaMG4CTlxm0as+PGHfiG+ZD3heoP\nV2f9r+tJSEgA4M8//6RJmybse2Af9Ieo6VGc9OpJrP15LdHRxx4JHXXzKF5b+xoZz2TAVogfEs/s\n12fTs2fPoO7rRBTOSXvvhPj05EXvVoxJe9bCN8aEZOefu2Ay0AhoD4wDGuCsFl4HmAKe3R527tx5\n+Jw5c+bgu8gH5wJ1IfuJbL6c/WXQ135z5pvwL/91GznXys7NxnufF2oDw0FPURYv/muTsrS0NA7G\nHsR3iw9qg16nZNfIZuXKlYfLLFu2DG9jL1wN1Abfv3zsydjDH3/8UWQ8Mz+aScakDOf+O0HG9Rl8\n9OlHQd+XKVnWwndYwjfGhEREYF2+A2lAOpD3i3KT858qVaocLlKlShWi10U7i5ICrAV3sjvoa1er\nXA1+z3cgb6nevAXwssG3yUdycnKBa+fsynFiBDgEOdtyjirj3eIF/6q+7IXcfbkFyhQmuUqyE4Nf\n7NpYqiVXC/q+jAkHS/jGmJDcMPwGGAHcClwGvAbxvnjogdPa7wjnnX8esbGxh8+5+OKLabivIe5B\nbqLuiiJ+QDxT/m9K0Nee+sxU5HVxrjsGGAFndzybhO4JyN1CwtkJdGvTjU6dOh0+p0GDBlw+7PK/\nyqQmMHi2RSt8AAAgAElEQVTAYFq0aHG4TLt27Ti367kk9PSX6Z7AqFGjit0d78mHnsQ90o3rThdx\nw+OosaAGo0eNDvq+TMmyFr7DxvCNMSGbPHkyTz/9NHFxcTz33HOcdtpp3HDDDWzctJF+fftx5513\nHnWOx+PhlVdeYdfuXfTq2Ytu3bod17XT0tIYO3YsHo+HUaNGMWTIED766COW/LiEJo2bMHz4cFwu\nV4FzVJV3332Xlb+spFXLVlxyySVOT0U+Pp+Pt956i9/X/E6709oxaNCgo8oUZtmyZcz+eDaJlRO5\n8sorqVq16nHd14kmnGP4s0LcYPH8DyvGGL4lfGOMMWUunAn/owGh1XHe7IqR8K1L3xhjjDkB2Ep7\nxhhjKrSKNA4fCkv4xpgClixZQlpaGq1bt+b0008vsXq3bNnCggULSE5O5pxzzinyeXZjSpIlfIf9\nizPGHDb+ofE8+uyjuLq68N7p5Z4x9/Cv2/4Vcr2LFi1iYO/e/E2EjapMatOGT77+usDMfWPCxRK+\nwybtGWMA2LBhAy3PbEnmL5mQAmyBSqdU4o9f/6BOnToh1d2+ZUtuT0tjqIBPYYDbzQX/+Q+jR9sj\na8YRzkl7X54dWh2951SMSXvWwjfGALB161YqNa5EZop/tZl6UKl+JbZv3x5ywt+yfTtd/T9HCXTM\n8LB506bQAjbmBCEilYDrgLOBWhSccK+qelYg9dgsfWMMAC1btsS7wQuf+w98BOyEpk2bhlx3l06d\neDQ2Bp/CFoU33W66dO1a/InGlIAKsPDO88C9OLtVzAPmHPEKiLXwjTEAVK1aldnvzGbQ0EEcOniI\nxOREPnzvQxITE0Ou+/nXX+eifv1I/OknFBg/7i769+8fetDGBCBCknYoLgAuUNV5oVRiY/jGmAJU\nlf3795OcnBzQynLBOHDgAHFxccTExJRovab8C+cY/td/C62O7gvKdgxfRH4DBqvqymILF8G69I0x\nBYgIVapUKfFkD5CYmGjJ3pR7ItJdRGaJyGYR8YnIVcWUTxWRD0Rkq4gcEpHlIjIyiEveAzwkIiHt\nxBR0l76I1OXoSQOo6tJQAjHGGGPCIQxd+gnAz8ArwKv8te/jsXQGlgMPA9uAvsBUEclU1bcCuN4n\nwLXAThHZDuTk+0xVtUkgQQec8EXkdOANoGUhHyvgKuS4McYYU6ZKOuGr6ic4SRgRmR5A+YlHHHpO\nRHoCQ4BAEv5rQCvgcWAnBf/ACHhsOpgu/anARqAbcDLQJN/r5CDqMcZEqB07dnDF4MGc1aIFIy65\nhN27dx9VZuPGjQwdMICzWrRg1FVXkZ6eXkhNxVu+fDkDunenY8uW3HX77WRnZ4cafsB2797N0JFD\naXFWCwZfMZgdO3aU2rVN6YvQWfrJwN4Ay/YGhqjqHar6qKpOyvf6T6AXDKZLvzVwhqqmBXGOMaac\nyM7O5tyuXem9cQPX5eQyY/16+q5YwfcrVhxeBvfAgQP06tSJK3bt5OZcL9M2bODCtDS+/O67oMb8\nN2zYwDndujHh0EHaKjywcSM37d7N89Onh+nu/pKbm0v3ft1Z23kt2VOy+eO9P/j53J/55YdfqFSp\nUtivb4yInAf0AroEeMomICvU6wbTwl8J1A71gsaYyLRixQpyd+7k0ZxcOgtMzs7mz82bWL169eEy\n33//PXUOHeJer5fOAtOysli+fDnbt28P6lqzZ89mgDeX0UBXgdczMnjjrUB6NkOXlpbGxr0byZ6S\nDZ0h5/9y2OndyYoVK0rl+qb0RVILX0S64gyP36SqSwI87RbgERFpFsq1i2zhHzEjcJz/gvfgTFbI\nP2kAVQ20a8IYE4FiY2Px+Hx4cX4x5ACZPi2w3n1sbCwH1YdPnRXzMoEcny/oNfFjY2M5KH+1Nw4A\nsaW0mU5sbCy+TJ9zg7GAF3ye4O/BlB/BJu0lB+DHAyUfh4h0A2YD96jq80Gc+j+gEpAmIllAbr7P\nVFWTArp+Uc+ii0igX5OqarmatGfP4RtTkM/nY0BqKrFLljAwI4P34+OJ7tqVmZ9/fri7Picnh9QO\nHWiYtppemVm87nbTeOBAXp4xI6hr7d27l/atW3Pe3j20zcllSoKbS+8cy7/vvTcct1aAqtJ3cF8W\nZC0gY0gG8R/G0z6rPfNmzyMqyp5ULivhfA5/aYibPp6x7NjP4YvIAeAGVX21mDi646xfea+qTg7m\n+iIyoqjPVXV6QPUUk/BTAw0o1BWASpslfGOOlpmZyWOTJpG2bBmtzzyTW2+//aiW78GDB3n04YdZ\nv2oVZ3Trxo3//CcuV/B/7+/YsYNHH3qIPdu20eu887j8iivC8ux/YbKzs5k0eRI//vIjp7c8ndtv\nvZ24uLhSubYpXHlK+CKSAOR1r3+L87jdh8AeVd0kIhOBDqra218+Fadl/xTwGJBXl1dVd4UWXeAC\nXmlPRBoAm1XVd8RxAeqr6sYwxBc2lvCNMSZyhDPh/3RaaHW0W35Uwk8FvvK/Vf5K4NNV9WoReRno\nkfd8vP/9lfnK5VkfyDP0xS24E+iQejAJ3wvUUdWdRxyvAewo6S59f/fH7cAZQF1gpKq+UkT5RsC6\nQj7qq6qfH3nQEr4xxkSOcCb8n9uGVsepK8p8ad2ihtcDHlIPZpbMsW42AWfuTkkLdiWjPH1wVjTK\ns6+E4zLGGFOOVIDNc3od8T4GaAdcD9wdaCXFJnwReTLf24dExHPE+WdRMMGWiGBXMspn75G9EMac\niHw+H7/88gtZWVm0bds24GfMp02bxjvvvMPQoUO5+uqrycnJYcWKFbhcLk455RRcLhebN29m06ZN\nNGvWjBo1ahRazzfffMPq1as555xzaNiwIR6Ph5UrV5KUlESLFi0QEdasWcPu3btp06ZNiezKZ0xh\nynvCP8YcuS9EZB3wd5zH/IpVbJe+iORdqDvwHZB/OaxsYD0wSVV/D+SCxyOQWZD5uvQ3AXHA78Dj\nqvruMcpbl76psLKyshjSty+/LF5MQlQUUTVr8vm331K7dtFLaTSoXZvdO3bQENgA1Khbl1pJSXi2\nbCbbpzRq25b+F17Ig/fdx8mVKrEuJ4fX3nmHfv36Fajn3O7dWbhgAfUFNirccd99PPvKs2RWzSRn\nRw4DzxlI9WrVmf7GdGLqx+Da5mLOR3M4/fQQZ1eZciucXfq/tgqtjtaryrZL/1hEpCnws6q6Aylf\nbAtfVVP9FU8H/qmqx7eOZvgdAG7DmTGZCwwC/isiV6lqQH/9GFNRTH7sMVi0iLSMDKKBcZkZ3DZ6\nNG/MnHnMc6ZNm8buHTtYArQSWKHQcetW2m3bxkxVfMDAZUv5f0uWsDQ3l4ZZmSxUOP/ii9m6Z8/h\nHoQXX3yRZQsWsBZnl61PgPP+MwH+n6A3K3jggzM+AB9k/ZZFRnIGvAFDrhrCup8Lm4ZjTGjKewu/\nMCKSiLMgz6ZAzwl4DF9VRxxHTKVGVffgbCyQZ6mIVAfu5BjdHePHjz/8c2pqKqmpqWGM0JjSk7Z8\nOQMzMojxt0kG5+Ry/cqit9J+5513aIiT7AHaCtRWQBURZ3esNlnZHIqOpqG/TBeBeFW2b99Ow4YN\nAVi0aBF/A2r5y/QTUC8wxN+j5oasRlm4Gruc1cQBBsPGkeXqQR8Tonnz5jFv3rxSuVZ5T/j+Xu4C\nhwA3cAgYHmg9xa20N5eCjxzk9YHnfy84swSPnFQQCRYDVx/rw/wJ35iKpPWZZ/L+h7O4ypNBLDAj\nJoY2pxX9bNLQoUO58fPP+VnhVIGlCtuB1lFR+Pwr8C2vVIkVXi9rFU4WmKeQFRVVYKigW7du3Dpt\nGlsV6grMUohyAW9F4bvDBweh0rpK8Dt493qhGjADGrdpHMZvxESaIxtZEyZMCNu1ynvCB2464r0P\n2AUsCmaV2+IW3nkq31sXcBnO74BFOIn+LJz19d9Q1esDvWiwAl3JqJDzHgcGqmrTQj6zMXxTYeXk\n5DDs/PP5/uv5uKNcJNWrxydff02tWrWKPK9xgwZs37SJOjibdtdt1IhaiYnsXLeObFXatm/PeRdd\nxL/vvJP6sbFs8/l46/336d27d4F6Bp57LnO++IIUnL08737oIZ5++WnSo9PJ2Z3DJYMvoXrV6jw7\n9Vli68YSsz+GubPn0rZtiM9PmXIrnGP4a0Lcz7Xp2sgcww9WMM/hP46T9G/Oy5T+RXcmA6jqzSUa\nWPArGV2FM4nwJ5y/fgYCDwJ3quqUQuq3hG8qNFVlzZo1ZGVl0bJly8M73hXn3XffZcaMGYwYMYIB\nAwbg9XpZvXo10dHRNG/eHBFh165dbN68mSZNmpCcnFxoPT/99BOrVq2iZ8+e1K5dm6ysLNLS0khK\nSqJRo0YAbN68md27d9O8eXPc7oDmHZkKKpwJf12InUdN/oiMhC8idXGmxhRYA1pVlwZ0fhAJfy/Q\nSVV/O+J4C+B7Va0aUEUBOo6VjK4ExgINAS+QBkxW1TePUb8lfGOMiRDhTPjrG4ZWR6MNZb7wzuk4\nc9FaFvJxWBbeATgV+O2IY6cEWUdA/M8dHnMnC1UdecT7V3EW6DHGGGMOqwBj+FOBjTjP3G8j8IXo\nCggm4b8EvODfj/c7/7HOOLPgXz6eixtjjDGmWK2BM1Q1LZRKgtkLcizwEM5swa/8rxuBicAdoQRh\njDk2VeW5Z57h0vPO45+jR7N9+/YSq3vq1Km0qV+fNiedxJQpR011AWDOnDlcNWQII4cNY/HixWze\nvJmuZ55Ji1q1GHDuuWRmZvLhhx9y+QUX8PfLL2dlMY//hVtubi4TH53IgGEDGPOvMezfv79M4zFl\nL8oX2isCrMSZIB+SgMfwC5wkkgygquX2X5KN4ZvyYtztt/PFs89ys8fDsuhoPqhRgyW//krVqqFN\nm3n++ee5bfRoHsKZjTsOuPuRR7jzzjsPl/n444+55uKLudfjIRN4KD6enJwczsvNpS9OP+PvVaoQ\nk53NvR4Pu0X4j9vNgiVLaNmysOHG8BtyxRA+2f4JGSMyqDSnEk1WNGHZN8sCXlrYlI1wjuFvrRNa\nHXW3lfkYfi+cBvc9OHvM5OT/vMR3y6toLOGb8sDn85EYF8fanBxS/L9uLnQnMPiZZ7jyyitDqrtl\n7dr8c8cOrvPX+6rChCpVWLfvr/2m+nXtyoiFC7nEX2aywiPAVkAEPAonAW8Dvf1l7kHI/Oc/mTR5\nckjxHY/du3dT7+R6ZG/LdpYlUUjskMgHj35Az549Sz0eE7hwJvztKaHVUXtHmSf88O+WJyIrgO6q\nus//c1EXPDWQCxpjguNVJS7f+3iU3NzckOv1eb3EF6gX1Ffw90puTs4R13Z6A8T/qy/Wf7xAGVUO\n5hRogJQar9eLuOSvwAQkTkrk+zKmDJXIwnbFTdp7l782yyl0Exo/ayobEwZRUVFccemlDH33He7w\nZPBTVBTzY2J5vH//kOu+/KabuO2++6iszi+CG4ErrrmmQJmrbrqJW0ePBn+X/vj4eA5kZTHW56Mv\n8CwglSox2uXiUY+HXcAUt5vZI0aEHN/xqFWrFh07deSHK38g89pMor+MJnFnIl26dCmTeExkiJBx\n+ON2jN3yjiIizwD3quruQj8/Ubu1rUvflBc5OTk8cO+9zP/kE1Lq1uWBxx+nRYsWJVL3XXfdxetP\nPAHA4GuuYXIhE/def+01XnnySVwuFzfdfTd16tTh8vPPZ/+ePdRr0oQPv/qK9999l/+9+CLxCQnc\n8cAD9OjRo0TiOx6HDh3i9rtvZ+GPC2neuDlTJk6hbt26ZRaPCUw4u/R3Vw+tjhp7ImPhneL4V6U9\nTVUL3YUqmIV3LgPmqerWEoyvzFjCN8aYyBHOhL83xGXhqu2rGAk/mOfwHwHqicgaYF7eq6L8AWCM\nMaZiKu9d+iUl4OfwVbU+0Bz4P5z5rw8Dm0XkNxGZGqb4jDHGGFMCgll4B1Vdo6ovACOAocArQGOc\n5f6MMQHIyspi586dhDqktHHjRn744Qe8Xi/gLDizcuVKDh48eLjM9u3bWbt2LT7/7Pvs7GxWrlyJ\nx+M5XCY9Pb3A4jS5ubns2LHjcL0Af/75JwcOHLkltzHlQwVYeKdEBJzwRaSjiIwVkU+BfUDepjR/\nx0n6xphiTH3uOaonJdGqQQNaN2rE77//HnQdXq+XJnXq0LRhQ1I7dqR6TAwTJ06kaqVKdG7bluqJ\niVw3ahRntGhBgzp1OKVpUxpWrcqjjz5K1bg4p0xCAvfccw9XXnwxdWrUoF7Nmlw8YAAff/wxdatV\no02jRtSrXp3PPvuMC849l/q1alG7enWuvuyyAn8IGFMeWML3U9WAXjhbzu7AWUa3YaDnRerLuXVj\nSs+SJUu0jtutv4H6BJ0cJXp6s2ZB13PeeedpY9AdoLmgo0ETQF/y17sctDJoS9B9oNmgF4O6Qd/3\nl/nW/757XJweBPWADoyL06ToaP3KX+ZT0CoxMTokLk4zQdNBU91unfTII2H4dsyJzv87OSy/6z3x\nob3CFVsY7vU5oOaxPg+mS/8h4HfgAWC2iDwpIkNEJMQHHow5Mfz444/0BZr65/re6FN+XrOGnCAX\nqVm2aBHXAjUFosQZX/MBI/z1thVnV6tuQLJAtMDFQCIwyF+mszj7bPbIzMQtECdwXWYmlX0+Uv1l\nzhWo5PVyfWYmsQKVBa7xeFg8f35I34Mx5Z2IdBeRWSKyWUR8InJVAOe0FZH5IuLxn3dPENdLFZFO\n+d6PFJFvRWSqiFTOO66qo1V117HqCWbS3t2q2g2oBtwC/On/7xYR+TnQeow5UTVo0IDFUVF4/EP3\n3wC1kpOJiYkJqp4adevyJeD117MM8ALL/O/TFZYDa4G8aQK/4vyD/d3/fqfCGmBNtOtwmbnR0RwC\ntvjfb1DIBOa7nFU7VWF+bCz1mzULKl5jyloYuvQTcNa0vxnIoJjF50QkCfgCZ2vb9v7z7hCRMQHe\nwmQgxV9XC5yW/HKgEzApwDqCX3hHRFKAnvleTYHtqlquVraw5/BNaVNVrr7sMr758ENau1wszM3l\n9ffeo0+fPkHVs2vXLprVrk0tn4/awBLgrO7dWfL113TG+S1Ur0ULNq5fT+2sLJKB5SJ069WLhXPm\n0BFYCpzaqRM7t2+n2p49RAtsSUxi2JVX8sKUKZwVHc33OTlcf8cdvDJ1Ko08h8hUOJSSwtwffgh5\n4x5jjhTO5/Czg/ub+iixOcd+Dt//7PsNqvpqETFch7OzbIqqZvmP/Ru4TlVPKu76+Z+vF5G7gC6q\nep6IdATeU9V6gdxHMAvvPAukAi2A7cB8/noWP6Q9esuCJXxTFlSV7777ju3bt9O+fXsaNGhwXPUc\nPHiQMWPGsHfvXm699Va6du3KV199xaeffkqrVq0YOXIk6enpPPnkk2RmZnL11VfTuHFjPv74Y+bO\nnUv79u0ZOnQoHo+HefPmoar06NGDypUrs2LFCn777TdatmxJmzZtSE9P5+uvv8blcpGamkp8fHzx\nARoTpHAm/NyAtpY5tmhvyAn/VaCqqg7Md6wDsAhorKobirq+iOwHOqjqbyIyB5ipqk+KSCNgtarG\nFXX+4XqCSPgzgLnAfFVdHdBJEcwSvjHGRI4KnvA/Bzaq6t/zHWsArAc6q+qioq7vT/JbgC+BF4DW\nqrpGRHoA01U1oCflAl5pT1WHBVJORGYDf1fVbYHWbYwxxoRLsI/WzVOn+7oEhdq6vAXnUfhBwIOq\nusZ//BJgYaCVBLO0bqC6A9bnZ4wxJjIE2XGQ6n/luT/0DWG3A7WPOJaS77MiqeoKoG0hH92GM2c3\nIOFI+MaYEvb5558z76uvSKlTh2uvvRaPx8OLL77IwQMHGHj++Zx11llHnbNlyxamT59OVmYmF118\nMaeeeupRZdatW8frr7+O+nxcetllNG/evNhYcnJymD59OuvWrOHMDh0YMmQIIhG/r4g5gfmCW1S2\nECEvNvUd8IiIVMqbtAecA2wpbvw+PxFpD5wMzFbVgzg5PPDgwvDg/wGgSVkvQBBAnGpMefDklCna\nyO3W8YJeGB+n7Zo310YpKToiNlbvFtEUt1tnzZpV4JwNGzZo3apVdXRMtI6NEq3hduv8+fMLlPn1\n11+1ZmKi3uxy6RhXlNZISNClS5cWGYvX69WBvXppL7dbJ4C2TUjQO2+5pcTv2Zx4COPCO7m4Qnod\nGRvOY3nt/K9DwD3+n+v7P58IfJmvfBLOI3lvAW2AwcB+4NYA7yEF+B5nyQ1vXo4FngemBPxdhOHL\ntYRvTAnx+XyaHB+vaf7V77ygJ8fE6EiXS33iHPsEtN3JJxc4b8xNN+kd+cq8AXp2hw4Fyoy45BJ9\nWORwmScFvbhfvyLj+fbbb7Vl5cqa5Y9nF2jl2Fjdt29fid+7ObGEM+FnExPSq5CEn+pPvnkJOO/n\nl/yfvwysO+KcU3CebsvAmYB3TxD38CYwC6iaP8cCvXFm6QdUj3XpGxPBfD4fnuxs6vvfi0CCKo18\nf/XiNQTSj9jYJn3vXk7zesHf094ASM+3QU5emQaqf5VRSN+3r8h40tPTqeuKIsZ/TjXA7XJx8OBB\nqlSpcnw3aUyYhd6lX5CqzqOIhetUdWQhx1YCPY7zkmcDZ6vqviOGz9bh/PMOSMl+C8aYEuVyuRjQ\nqxfXV4rlD4X3FTZER/NMpTjmqrNy3i3x8Zw/ZEiB8wYNG8Ykt5vvFFYpjHW7Of/SSwuWufxy7k9w\ns1ThZ4V73G7OHz68yHjOOussVke5eAFnJb67oqOp37AhdeuWq3W3zAnGR1RIrwgQDxS2BncNnAUx\nAxOG7pO7cBYYKPNu++K6eYwpD/bv36+XX3ihnlS1qp7ZvLl+/fXX+vbbb2ubBg20YY0aevPo0ZqV\nlXXUeS++8IK2qFtXG9esqXfdfrvm5uYW+Nzn8+njkyZp09q19eSUFJ34wAPq8/mKjWfFihXa7bTT\ntF7Vqnp+r166devWErtXc+IijF36B0kI6RWu2IK4h9nARP/PB4AmOBP23gX+F2g9RS68IyKDg/jD\n4b2A/8qIALbwjjHGRI5wLrxzkISQ6qjMobDEFigRaQ18DfyE8+j7RzhzApKBrvrXc/lF11NMwg94\nuQJVjYh+j0BZwjfGmMgRzoSfTmJIdSRxoEwTPoCI1AGuA87EmXmzFHhag1jkLujNcyoKS/jGGBM5\nwpnw/yQ5pDqqsL/ME35JsFn6xhhjKrQImXgXFBE5A1iuql7/z8ekqksDqTOob0FEYkSkq4gME5Er\n87+CqceYSLJq1SrOat0ad2wspzdrxvLly8s0nv/+9780qFGDypUqcVG/fqxdu5YBPXqQEBtLk5QU\nZs+eXabxGWNKxRKger6fj/VaHGiFweyW1xL4EGiM84dCLk4PQS6QpaqhDZKUMuvSNwCZmZm0atiQ\nO3ftYrgqMwXGVanKqvXrSUpKKvV4Fi9ezMAePZiZkUEL4LbYWOa43Vxw6BATcnL4CbjE7Wb+kiW0\natWq1OMzJlzC2aW/+3DePD412FPqXfr+rW83qqrP//Mxqer6QOoMpoU/GWeSQDLOUoKtgfY4swaH\nFHGeMRHr999/Jy4jg9EoiQJXAPV8XlauXFkm8cydO5fLcnPoKFBF4JHsbLb/+Sf/l5NDskAPgfOA\nr7/+ukziM6Y8Ko/P4avqelX15fv5mK9A6wzmTjoAD6jqIZwlBF3+cYM7gElB1GNMxKhWrRo7srPZ\n6+/sOaCwOTuH6tVDaxGEEs/qmFjyOp9WAbFAmv9zn8JvUVFlFp8x5VF5TPj5ichNInJ5IccvF5Hr\nA60nmDsRnDWAAXYB9fw/bwGaBVGPMRGjXr16XHvddXRLSGBMdAzdKidw4aWX0qJFizKJZ/jw4exp\n3Jj+CQncHBPLxW43V990E33dbm6JiaV3QgKV2rRh0KBBZRKfMaZM3AKsL+T4BmBMoJUEM4a/AHhM\nVd8XkTdxJhM8BPwDOFVVC9urN2LZGL7J75NPPmHlypW0aNGCgQMHlul2rxkZGcyYMYO9e/fSq1cv\nTj/9dBYtWsSCBQtISUlh2LBhxMTElFl8xoRDOMfwt1InpDrqsq2sF97JBFoe2X0vIo2BVaoaF1A9\nQST8voBbVd8TkZNxVvppAewGhqrq3CDiL3OW8I0xJnKEM+FvPtwhfXxOYktZJ/z1OFvpvn/E8cHA\nE6p6UiD1BNylr6qf5i2fq6prVbUVUBOoHY5kLyLdRWSWiGwWEZ+IXBXAOW1FZL6IePzn3VPScRlj\njClfyvsYPs72uE+IyLn+x+NjRKQPMAV4I9BKAr4TEXlJRAo8eqeqe4B4EXkp0HqCkAD8DNyMM3eg\nyOa4iCQBXwDbcJ4euBm4Q0QCHt8wxhhjItB44BvgU5x8mAF8AnwLBNywDaZL34fTmt95xPGawHZV\ndQV60WCJyAHgBlV9tYgy1wETgRRVzfIf+zdwXWHdHdalb0L1008/8fTTTxMXF8e4ceMK3SL2u+++\nY9q0aSQnJ3PPPfdQrVq1o8qsWbOG+fPnU7VqVQYOHBjQ+HxmZiYffvghBw8epFevXjRs2JBly5ax\nZMkS6tevT58+fcp0HoIxwQpnl/56GoZURyM2RMTSuiLSDDjd//YnVf0tqPOLS3oiUg1nhv4unGfv\n8yd8F85jwQ+qatg2xA4w4b+Ksy3vwHzHOgCLgMaquuGI8pbwzXH76KOPGDpwIL2B/cBPLheLV62i\nWbO/Hlh5+eWXufHqq+mL8yjL77Gx/LJhA7Vr1z5cZs6cOQw7/3z6CayRKCq1asVn33xDbGzsMa99\n6NAhep51FgkbN1JPlc9F+MeNN/LiE0/w/9u79/CoqrPv4987CUlIkIMiIEJVRFGUKijVWMUIQq1o\nnxZtLVoV9a0F+nish2q1YrX6YBWBHsSKgvXQqrXVagtikaiogHjEIlQvoCIgQjFyCDEkud8/1iRO\nzhkmk8xMfp/rymVmz9pr33sE7llr7bXWKcDrZhw9ejSz/vQnJX1JGYlM+Ks4IK46+rE6KRI+gJn1\nBIUT4t8AAB/TSURBVDa7e0Ws5zanS38zIdkDLI+8rvrZCMwEfhfrhROgFyGeaBuj3hNpMZecey63\nAU8ZLDA4s6KCcWPH1ihz3cSJ3Av82eBVYFhZGRddeGHNei64gD+UlPBgSQkvb99O1vLlPPzww41e\n+95776XvqlXM376dh0p2cNf27dw5eTILSkp4YGcJS3bs4LW//52FCxe27E2LpKhUH8OPjNn/KtL4\nXQ+hy8LMJscyD785m+cMj/z3BcKKep9FvVcG/Mfd1zX3ggkUc3N90qRJ1b8XFhZSWFjYguFIOtu5\nYwdHR70+BnhtY83vm6VlX3BU5HczONbhyXU1/6p88t//VpfJMBhcWsqGDY3vdrnh448ZUlpKVeP9\nYCDDnQGR1x0NDsvMaLIekbZUVFREUVFRq1wrGZJ2nG4CTicsBhr9kN7rwDU0s9HdZMJ39yIAM+tH\nZF3fWCNtJZ9QtyXfM+q9OqITvkgsDjjkEG5Ztow/O2wHpgAFI0bUKLPvvn24ee1aZnvoavoNcO7o\n0TXKDCso4JaXX+Kusl2sBv6Yk8MjJ5zQ6LVPHD6cy++9l7NLStgH+F12NntkZTG1dCeXVjqvAS+X\nV3DX0KEtd8MiLax2I+vmm29uu2CS39nAhe5eFHmersp7hOnxzRLLtLw1wOFm9lszm2Nm+wCY2XfM\nbHDjZ7eK14ATzCwn6thIYF3t8XuReM156SXW9O5NV6AvsPfQocx8oOZklecXLWLxnnvSCegPHDFq\nFLfddluNMjP/9CdWHnU0nTIyGJqbyw133smwYcMavfZpp53G+J//nEHZ2XTOyKD4hBOYu3AhD/U/\niBwzzujcmdmPP84BB8Q3bimSLlK9Sx/Yh7CqXm1ZxLDNfSxP6Y8i7JY3BziVsOrPKjO7Cjje3b/d\n3Is283r5fLlk7yvA/0Wu/193X2tmtwND3f3kSPnOhCXHi4BbCd96ZgGT3P3ueurXQ3sSt9LSUrKy\nssjKavjvXElJCdnZ2Y2WKSsro0OHDjE9ZOfulJeX13iqf3fqEUkGiXxobznx7Sw5kPfbeuGdNwgL\n7DwYGcc/IpJ/bwZOcvfGWwkRsXx1uRW4MpLYv4g6XkQYwmxpQwm7870J5AI3R36v6vfpBfSrKuzu\nWwkt+t6EPYJ/DdxZX7IXaSm5ubmNJnKAvLy8JstkZ2fHnKTNrM4Uvt2pRyTdJaqFb2YTzWy1me00\ns6VmdnxjcZjZqWa2yMy2mtkmM3sqMtWuKZMIC+/8jNCi/66ZzQauA25p7ucQSwt/B3CYu6+p9Q2j\nH2Et35wmqkgqauGLiCSPRLbw3+OwuOo4nH/Vic3MzgIeAiYQFsX5MXABMNDd19YTR3/CTLcpwO+B\nPYDJwIHu3mTSj6ys9zPgKMJU+TeBX7j7vObeR7P7/oEtQB/q7tgzGPg4hnpERERaTYLG4a8EZrn7\n/ZHXl0b2nJkAXF9P+SMJverXVbU2zWwyMN/M9nT3LY1dzN2fA56LJ+BYPoVHgTvMrG/kdQczKwTu\nAhpcEEdERKQttXSXvpllA0OA2q3recBxDYTxCmFSzw/NLDOyVP04YElTyT7qusPN7H8jPyOaPqOm\nWFr4NxIegltD6E5YHvnvI8AvY72wiIhIa0hAC787YaXZ2ou9fUoDC725+wYzOxV4CvgtocH9FvDN\npi4W2Qb3L8AgwsI7AL3N7D1gjLuvak7QsUzLK3P3cwhPzo8jjFUMcPdz3b28ufWIiIi0N5Hn3Z4i\nNJyPBgqBbcDj1vSTtvcDW4F+7v4Vd/8K4aH1zyLvNUvz5++FgC4njFtUbS68zszuBqYm8YI8IiLS\njsXawl/KNt5gW2NFNgMVfLm4W5WehB1b6/MjYK27X1t1wMx+AKwFCggrcDekAChw94+qDrj7R2Z2\nBbCosUCjxdKlPxm4GPhV1AWOJXT17wNcHUNdIiIirSLWhD+ELgyhS/Xr+2rlcHcvi8yNHwU8GfXW\nSOCJBqo1oHbDuOp1UwGuBTrWczwX+Kie4/WKJeH/P+CH7h59M/PNbCVhioESvoiIJJ0EPaU/BXjI\nzJYQWufjCeP3MwBqLw4H/A34iZndCPyJMC3vNkLCfqOJa10JTDOzy4AlhL1jjgGmAj9pbsCxJHyA\nd+o5tozwzUVERKRdcPfHzWwv4AZCL/cy4NSoOfi1F4dbGJm7/1PChjclhCXhT3H3nU1c7o9ADuFJ\n/+hegXLg0ahHANzdOzdUSSwL70yL1HZZreNTgUx3v6RZFSUJLbwjIpI8ErnwzqsUxFXHcbzW1kvr\njqvncFUCqxGXu89uqJ5YWvjZwDmR1X4WRS5yDGEp24fNbHrkmLv7pTHUKyIikjBJsgFOPF4HKtx9\nBVTvbXM+8C/gjubOlIsl4R9KWMoPYL/Ifz+J/FTtTGDsxr70IiIiiZIGCf8B4G5gRWTxu6cI+9hM\nBDoThgma1OyE7+6FMYcoIiLSxtIg4Q/gywb3mcBidz/VzE4CZtPMhJ/yn4KIiEiaywR2RX4fQdim\nHmAVddcCaJASvoiIpLVEbY/biv4FTDCzYYSEPzdyvDdhEaBmiXVanoiISEpJkqQdj2uAp4GrgNnu\n/m7k+P8Ai5tbiRK+iIiktVRP+O7+kpntDXSutbPeDMJ8/mZRwhcREUlykal3W2odWxNLHUr4IiKS\n1lK9hd9SlPBFRCStKeEHSvgiIpLWlPADfQoiIiLtgFr4IiKS1tTCD5TwRUQkrSnhB0r4IiKS1pTw\nA30KIiIi7YBa+CIiktbUwg+U8EVEJK0p4QdK+CIiktaU8AMlfBERSWtK+IE+Banhk08+Yf369bh7\nW4ciIiItSAlfACgrK2P06O+y//4DOfDAr1JYOJqSkmbvuigikrQqyYjrJ12kz51IXH75yztYsGAn\nX3yxgdLSDSxZ0plrr72prcMSEYmbEn6QPncicXnllTfZufN8IAfoQGnphbz22pttHZaISNwSlfDN\nbKKZrTaznWa21MyObyoWM7vczFaYWamZrTez21v0ZhuhhC8AHHpoP7Kz5wEOOFlZzzFgQL+2DktE\nJCmZ2VnAVOBW4EjgVWCOmfVt5JwpwATgauAQ4JvAi4mPNnL99vpwlpl5e733+hQXF1NQcDLr1jnQ\ngb322sbixQvo0aNHW4cmIu2AmeHuloB6/QEuiKuOC5lVJzYzWwy87e4/ijr2b+DP7n59PXEMAJYB\ng9x9ZVwB7SZNyxMAunbtyttvv8KiRYuoqKigoKCAjh07tnVYIiJxa+lxeDPLBoYAd9R6ax5wXAOn\n/Q+wCjjVzOYARmjdX+3um1o0wAYkdZd+LOMjZra/mVXW8zOqNWNOZTk5OZx44okMHz5cyV5E0kYC\nxvC7A5nAxlrHPwV6NRBGP2A/4HvAecC5hG79Z8ysxXs26pO0Lfyo8ZEJwELgx4TxkYHuvraRU78B\nvBP1+rPERSkiIulmJetZyYaWrjaD8FT0ue7+IYCZnQusBI4GXm/pC9aWtAkfuBKY5e73R15faman\nEL4A1BkfibLF3T9NeHQiIpISYu3SP4g+HESf6tfPUmfG0magAuhZ63hPaPCbwgagvCrZR3wYqecr\ntELCT8ou/ajxkXm13mpsfKTKX8xso5ktNLMzEhJgO1FeXs6MGTMYP/4y7r33XioqKto6JBGRmLV0\nl767lwFvALWHjEcSntavz0Igy8yipz/1IwwN/Cf+u2xasrbwd2d8ZBvwE+AVoJzwgMRjZna+uz+S\nqEDTlbszZswPmD9/IyUlp5OX9yhz5rzIX//6CK003CQi0iIStHjOFOAhM1tCSPLjCflpBkBkfv1Q\ndz85Uv6fwJvAA2Z2OeGhvanAIndfmogAa0vWhB8zd/8vcHfUoTfNbC/gGkAJP0YrVqxg/vyFlJR8\nCORSUjKBefMO5MMPP+Sggw5q6/BERNqUuz8eyTE3APsQptydGvWMWS9CC76qvJvZacB04CVgJ6HX\n+srWijlZE/7ujI/U53XgwobenDRpUvXvhYWFFBYWxlB1eispKSEzsxuQGzmSS1ZWV62vLyItoqio\niKKiola5VqKWx3X3e4B7GnivzuR/d/+E8JR+m0jahXfMbBHwTj2LGjzh7j9rZh13A6e7e/963tPC\nO40oLS1lwIDBrFt3NhUVZ5KZ+Rh9+jzBypVvkpOT09bhiUiaSeTCO1O5LK46LmdaQmJrbcnawocY\nx0fM7HygDHgbqAROByYSuvQlRrm5uSxcOI9x4/6X5csf4rDDBjJ79nNK9iKSctJpA5x4JG3Cj3V8\nhLAI/A2EhQ0qCHMbL3D3R1sv6vTSt29f5s9/uq3DEBGJixJ+kLRd+ommLn0RkeSRyC79O/lJXHVc\nxV3q0hcREUl2auEHSvhprLKykoyMxv+gl5WVkZ2dXf3a3XH3Guc1p57mlBERaQtK+IE+hTS0Zs0a\nBg0qICurA3vt1Ye5c+fWKXPPPfdg1oWcnFzMOnHFFVdw2WXXkJPTiZycfC666McsXryYvn0PISur\nA/vtN5C33nqrTj0vvfQSPXseQFZWBw4+eDArVqxojVsUEWm2BGyek5I0hp9m3J2DDx7MqlVjqawM\nCw/m5Z3Je+8t4YADDgDg888/p2vXfYFfAT8EngO+S27uwZSWPgd0oGPHM6isfIcvvrgHOAN4nG7d\nruajj1bSqVMnADZu3Ej//oPYvv1BYCRm97HPPlP4z3/eJytLnUci0nyJHMO/jeviquN6bk+LMfz0\n+eoiABQXF/PRR6uorLyGMGJzIpmZJ7J48eLqMs888wzQkbAPURYwGhhIaelowtpGe7Jz50/ZtSsX\nOCtS5mwqKrqzcuXK6nreeustMjOPAL4JZOE+geLiUj7++OPWuVkRkWZQCz9InzsRgEjru5KwCRPA\nF1RWLqdHjx7VZQ4//HDC1gPrIke2A2swW19dJiPjLcLKj1siRzZTVvYxe++9d3WZHj16sGvXB8CO\nyJGPKS8vZs8992zx+xIR2V1K+EH63IkA0KFDB6ZPn0pe3ol07PgjOnUqYMSIIzjppJOqyxx55JH0\n738wcCRwATCITp2y6d79BfLzzyQvbyxduvya888/i/z8Y8jNHU9+/rFccslEvvKVr1TXM3jwYM48\n85RImR+Rl3cct9zyCzp37tzq9y0i0hAl/EBj+Glq6dKlLFmyhD59+nDaaafV+wT9VVddxQsvvMCg\nQYN44IEHKC4u5m9/+xsVFRWcfvrp9OzZkxdeeIH333+fgQMH1vjSUMXdmTt3LqtWrWLw4MEcd1xT\nuxeLiNSVyDH8SdwUVx2TuDktxvCV8EVEpM0lMuH/nJvjquMX3JQWCV+PUouISFpLp275eCjhi4hI\nWlPCD/QppKmZM2cyZswYrr76asrLy3n33Xc5/vjjOeqoo3jiiScAePHFF5k2bRrPPvss9Q1vuDvP\nPfcc06ZN4/nnn2/tWxARkRakMfw09P3v/4DHHpsDnAkspGvXrRQXfwYMA/YCnmT48BNYtOjfVFSM\nJivrJcaMKeDBB2dg9uUw1aWXXsMDD/yN8vKTycp6nosvHsOUKbe3zU2JSFpL5Bj+T4nv363/47q0\nGMNXwk8zJSUl5Od3Bd4HDgTKCLsLfweYGSl1P3AlsCLy3g7y8gbyyitPc+SRRwKwevVqBg48htLS\nlUA3YAu5uQezcuWbNabmiYi0hEQm/GuYHFcdd3BtWiR8demnmY0bNxL+t/aLHMkmJOwhUaUGAZmE\nZA+QT4cO/di8eXN1iU2bNpGd3SdyLsCeZGfvW6OMiEgq0Dz8IH3uRADYb7/96NAhH7gFKAXmA2uB\nycAq4DPgZ5iVY/bbSJmnqKxcXt26Bxg4cCBZWZ8CD0fK/IEOHbYwYMCA1r0hEZE4KeEH6XMnAkBG\nRgYvvvgsHTv+DsjH7DtMnnwL/frtAQwEepCXt4xXX53HgAGzycjYgz59fspzzz1F9+7dq+vp1KkT\n8+c/ywEHTCYjYw/69buLF174O/n5+W11ayIiEgeN4aex+vaor6ioIDMzs/q1u9d4UK8+zSkjIhKP\nRI7hX87dcdUxlSs0hi/Jrb7ldKOTPdCsRK5kLyKpLFFd+mY20cxWm9lOM1tqZsc3Jx4zO8jMtpnZ\ntha7yWZQwhcRkbSWiIRvZmcBU4FbCTuRvQrMMbO+jcViZtnAn4AXgVbtZlbCFxERid2VwCx3v9/d\nV7r7pcAGYEIT500G3gaeAFq1+1QJP8ktWLCAQw/9Gr169eeCCyayc+fOOmVuvPFGsrP3JjOzK0cc\nUcDcuXPJzNwLs86YdeOyyy4jOzsXs66YdcEsn5tuuinyujNmXTnvvPPo1q1HdZm8vL344IMPGDbs\nVHr06Edh4Wl89NFHda69YsUKvva1EfTo0Y9TTjkjMi1QRCR5tHQLP9JKHwLMq/XWPKDBLUPNbDQw\nGriEVk72oIf22jqMRi1fvpyhQ0+kpOQ+4BByc6/nW9/qwmOPzaouM3PmTH74wysJXxb7AuOBd4Dv\nAdcALwM/AroATxLm1Z8LfAhMBC4G5gDXAZ2BvwIdgLOAdWRm/pyKijPJzHyM3r0f5oMP3iEnJweA\n4uJi+vcfxJYtP8V9FFlZ93HwwUUsW7ao3ucHREQaksiH9sZzT1x1zGBCjdjMrDfwMTDM3RdGHf85\ncLa7H1JPHL2B14Fvu/vrZjYO+LW77xFXcDHQv8pJbO7cuZSXfx/4NnAIpaX38swzf61RZubM2cAV\nwDcI0+5+Spg3PwM4CLgQ6Ar8HDgR+CpwD5AD3BEpcynQH7gAOBY4ijA0lU9FxXXAQVRU3EBxcQbv\nv/9+9bVff/11du06EPcfAwdRXj6Z1avXsm7dukR8HCIiuyVJ5uE/BNzj7q+3VIWx0m55SSw/P5+s\nrPWUlVUdWUdubqcaZfbYIw+I7mrfCVQCm4Gekd/LCF9Gv6wnHN9KaPnvipTfWk+ZnUBHoITy8s/o\n1OnL6+fn51NZuREoJ/xR+pyKih2aqy8iKW09K1nPvxsrshmoIPwjG60nYRy/PicBw8zspshrAzLM\nbBcwwd1nNnBei1HCT2Jjx47l9tunsWHDeZSVHUJe3gwmT765RpmpU+9m0KBjCb1NBwB3kZWVR3n5\nsYSu/AWEhP4bYAfQHZgSOXYccB7wLLCNsMZ+DmE53un07NmNbdtGUVJyGnl5f2P06FEceOCB1dc+\n9thjOeqofixZcio7d44gP/9xzj33Ivbcc8/EfjAiIjGItZXei0PpxaHVr9/k2Rrvu3uZmb0BjCKM\nlVYZSRhfrc/htV5/G/gZMBRYH1OAu0lj+EmuuLiYe+6ZwaZNW/jmN0cycuTIOmXee+89Lr30crZu\nLeHCC3/AxRdfTEFBAf/61wd07ZrHq6++yqRJk3jwwYeADAYMOJB3332XXr168dlnO8nLC13106dP\nZ/r03+EO48adw4wZM5g1axbLlq3giCMGMm7cuDpj87t27eK+++5j5cpVHHPMEMaOHat5+yISs0SO\n4V/I/XHV8QAX1YnNzL5H6KafSJiSN54wLnqYu681s9uBoe5+cgNxjaOVx/CV8EVEpM0lMuGPY1bT\nBRsxmwvqjc3MJhCejt4HWAZcUfUQn5nNAk509361z4u8Pw6Y7u6d4wouBkr4IiLS5lIx4acajeGL\niEhaS6cd7+KhTyEFbdiwgWeffZYlS5bQ3F6KXbt2UVRUxNy5c9m6NTyNf9ddd3HCCSdw7bXXJjJc\nEZE2lSTT8tqcuvRTzIIFCzj99O+RlXU05eX/5lvfKuSRR2Y2+qBcSUkJX//6KD78cAcZGV3JyVlN\np07ZrF69nrBY1DK6dMmjuFjz50WkbSSyS/9sHomrjkc5Jy269NPnq0s78f3vX8iOHQ/z+edz2LFj\nGc888zr/+Mc/Gj3nzjvvZsWK3mzf/gZbty5g06YzWL36I8KiTy8BK/j88+3ccsstrXELIiKtSi38\nIH3upB2orKxk06aPgOGRI3lUVBSwZs2aRs9buXINpaXD+fJ/9x6EZXSr5pn2BAawcOHC+k4XEZE0\noISfQjIyMjj44MGYzYgc+Q9m/2DIkCGNnvf1rx9FXt5DhMV1KsjK+gDYDtWLSbwB/IuxY8cmKnQR\nkTajFn6QPnfSTjzzzB/Zd9/f0rFjL7KzD+PWW6+hoKCg0XPGj7+Y7373q3To0JucnB4MGbKBM88c\nTdhgpxvwdb72ta8ybty4VrgDEZHWpYQf6KG9FFRRUcGGDRvo1q1bTOvWf/bZZ5SVldGjRw/MjM2b\nN/P0008zYsQI9t9//8QFLCLShEQ+tDemxuq3sfsLZ+ihvUQzs4lmttrMdprZUjM7vonyg8zsRTMr\nMbOPzezG1oq1NWVmZtKnT5+YN6np1q0bPXv2rH6iv3v37lx00UVK9iIi7UDSLrxjZmcR9midACwE\nfgzMMbOB7r62nvKdgeeBIuBowhNps8xsh7tPabXARUQkqaRTt3w8kvlTuBKY5e73u/tKd7+UsO3g\nhAbKnwPkAue7+3J3fxKYHKlHRETaKY3hB0l5J2aWTVgRZl6tt+YR9nStTwHwsrt/Uat8bzPbr+Wj\nFBGRVKCEHyTrnXQHMoGNtY5/CvRq4Jxe9ZTfGPWeiIhIu5W0Y/i7ITUfuRcRkYRKp1Z6PJI14W8G\nKghLwEXrSRjHr88n1G3J94x6r45JkyZV/15YWEhhYWGMYYqIyO4oKiqiqKioVa6lhB8k7Tx8M1sE\nvOPuP4o69m/gCXf/WT3lxxMe0utRNY5vZtcDE9y9bz3lU3YevohIuknkPPxRPBdXHfP4hubhJ9gU\nYJyZXWRmh5rZNEILfgaAmd1uZv+MKv8oUALMNrPDzGwMcG2kHhERkXYtWbv0cffHzWwv4AZgH2AZ\ncGrUHPxeQL+o8lvNbCTwW2ApsAW4093vbt3IRUQkmahLP0jaLv1EU5e+iEjySGSX/nDmx1XHC4xI\niy79pG3hi4iItAS18AMlfBERSWtK+IE+BRERkXZALXwREUlrauEH+hRERCStJWot/Vi2cDezQjN7\n2szWm9kOM3vHzC5IyA03QAlfRETSWiISftQW7rcCRwKvErZwr7PQW0QB8A5wBnAYcA/wezMb29L3\n2xBNyxMRkTaXyGl5x/JaXHUsoqBObGa2GHi7ntVg/+zu1zcztseATHc/M64Am0ktfBERSWst3cLf\nzS3c69OFsEhcq9BDeyIiktYS8NDe7mzhXoOZnQYMJ7YvCHFRwhcRkbQWa8LfxlK28UaCogEz+zrw\nCHCJuy9N2IVqUcIXERGJsgdHswdHV7/+hN/XLrI7W7gDEHmS/+/Aje5+b9zBxkBj+CIiktZaegzf\n3cuAN4BRtd4aSXhav15mNgz4B3CTu09vwVtsFrXwRUQkrSVo4Z0pwENmtoSQ5MdTawt3YKi7nxx5\nXUho2f8G+KOZVY31V7j7pkQEWJsSvoiIpLVEJPxYt3AHzgdygasjP1XW1CqXMJqHLyIibS6R8/AP\nZ1lcdbzHIG2PKyIikuy0ln6ghC8iImlNCT9QwhcRkbSmhB8o4YuISFpTwg/0KYiIiLQDauGLiEha\nUws/UMIXEZG0poQfKOGLiEhaU8IP9CmIiIi0A2rhi4hIWlMLP1DCFxGRtKaEHyjhi4hIWlPCD/Qp\niIiItANq4YuISFpTCz9QwhcRkbSmhB8o4YuISFpTwg/0KYiIiLQDauGLiEhaUws/UMIXEZG0poQf\nKOGLiEhaU8IPlPBFRCStKeEH+hRERETagaRM+GaWY2a/NrNNZrbdzJ42s32bOGecmVXW+qkws+zW\niltERJJPJRlx/TTEzCaa2Woz22lmS83s+MbiMLNBZvaimZWY2cdmdmOL32wjkjLhA1OBMcD3gROA\nzsCzZtZUvCVAT6BX5Gcfdy9LZKAiIpLcEpHwzewsQq66FTgSeBWYY2Z9GyjfGXge2AAcDVwGXG1m\nVybgluuVdAnfzLoAFwJXuft8d38LOBf4KnByE6e7u29y90+rfhIdb2spKipq6xBippgTL9XihdSL\nOdXihdSMOZES1MK/Epjl7ve7+0p3v5SQzCc0UP4cIBc4392Xu/uTwORIPa0i6RI+cBTQAZhXdcDd\nPwbeB45r4tyOZrbGzNaa2TNmdmQC42xVqfgXWDEnXqrFC6kXc6rFC6kZcyqJDBUPISpPRcyj4TxV\nALzs7l/UKt/bzPZr+SjrSsaE3wuocPf/1jq+kdBd35AVwAXAt4CxQCnwipn1T0iUrWzNmjVtHULM\nFHPipVq8kHoxp1q8kJoxJ1ICWvjdgUxCXor2KSGH1adXPeU3Rr2XcK02Lc/MbgWub6JY4e7W7+6L\ngEVR13sVeAu4hDBWktJS8S+wYk68VIsXUi/mVIsXUjPmREqSaXne1gG05jz8u4E/NFFmLSGmTDPb\nq1YrvxfwUnMv5u6VZvYmcFBDZcysudUlhVSLFxRza0i1eCH1Yk61eCE1Y06cFv8sNgMV1O117kkY\nx6/PJ9RtyfeMei/hWi3hR5J37W76OszsDWAXMAr4Y+RYH+AQwlOQzWLhT/sRwJsNxKO/DSIiaS4R\n/9a7e1kkV40Cnox6ayTwRAOnvQZMNrOcqHH8kcA6d/9PS8dYn6To54jm7p8D9wN3mNkIMxsMPAS8\nA/yzqpyZzTez26Je32Rmo8ysX+RhvfuBw4AZrXsHIiLSDkwBxpnZRWZ2qJlNI7TgZwCY2e1m9s+o\n8o8Spo7PNrPDzGwMcG2knlaRrEvrXg6UA48BHQmJ/gfuHj0G0g+I/lbUBfg94QP/nNCyH+buS1sl\nYhERaTfc/XEz2wu4AdgHWAac6u5rI0V6EfJUVfmtZjYS+C2wFNgC3Onud7dWzFYzh4qIiEg6Srou\nfREREWl5SvgiIiLtgBK+iIhIO6CELyIi0g4o4YuIiLQDSvgiIiLtgBK+iIhIO6CELyIi0g4o4YuI\niLQD/x9hp7uLxdqLGwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# scatter plot of petal_length vs petal_width colored by species\n", "iris.plot(kind='scatter', x='petal_length', y='petal_width', c='species_num', colormap='brg')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ,\n", " ,\n", " ],\n", " [,\n", " ,\n", " ,\n", " ],\n", " [,\n", " ,\n", " ,\n", " ],\n", " [,\n", " ,\n", " ,\n", " ]], dtype=object)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vXm1SoRSDwcCuHTsoys9nwa234u/v39nQJXr32Oxp9Ho9O3bvoKyyjBtn32jy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\nTa9eI8jLy7NLzsmTJ3nqqVd57rmZnDt3zmH2KRQNiU2bNtGnz1gGDx5fbYX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# scatter matrix of all features colored by species\n", "pd.scatter_matrix(iris.drop('species_num', axis=1), c=iris.species_num, figsize=(12, 10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Task 4\n", "\n", "Write down a set of rules that could be used to predict species based on iris measurements." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# define a new feature that represents petal area (\"feature engineering\")\n", "iris['petal_area'] = iris.petal_length * iris.petal_width" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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countmeanstdmin25%50%75%max
species
Iris-setosa500.36280.1832480.110.26500.3000.420.96
Iris-versicolor505.72041.3684033.304.86005.6156.758.64
Iris-virginica5011.29622.1574127.509.717511.44512.7915.87
\n", "
" ], "text/plain": [ " count mean std min 25% 50% 75% max\n", "species \n", "Iris-setosa 50 0.3628 0.183248 0.11 0.2650 0.300 0.42 0.96\n", "Iris-versicolor 50 5.7204 1.368403 3.30 4.8600 5.615 6.75 8.64\n", "Iris-virginica 50 11.2962 2.157412 7.50 9.7175 11.445 12.79 15.87" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# description of petal_area grouped by species\n", "iris.groupby('species').petal_area.describe().unstack()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CDhzfGRFnSLqd9P3nA0mB92+kv6tv5sr5MSmv/LZsAdgkIm6Q9DrS4LQvkrqvTwF+Rbqi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\n66cr404sMNqxstd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# box plot of petal_area grouped by species\n", "iris.boxplot(column='petal_area', by='species')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspeciesspecies_numpetal_area
866.73.14.71.5Iris-versicolor17.05
856.03.44.51.6Iris-versicolor17.20
526.93.14.91.5Iris-versicolor17.35
726.32.54.91.5Iris-versicolor17.35
1196.02.25.01.5Iris-virginica27.50
566.33.34.71.6Iris-versicolor17.52
1064.92.54.51.7Iris-virginica27.65
1336.32.85.11.5Iris-virginica27.65
1346.12.65.61.4Iris-virginica27.84
836.02.75.11.6Iris-versicolor18.16
776.73.05.01.7Iris-versicolor18.50
705.93.24.81.8Iris-versicolor18.64
1266.22.84.81.8Iris-virginica28.64
1386.03.04.81.8Iris-virginica28.64
1236.32.74.91.8Iris-virginica28.82
1276.13.04.91.8Iris-virginica28.82
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species \\\n", "86 6.7 3.1 4.7 1.5 Iris-versicolor \n", "85 6.0 3.4 4.5 1.6 Iris-versicolor \n", "52 6.9 3.1 4.9 1.5 Iris-versicolor \n", "72 6.3 2.5 4.9 1.5 Iris-versicolor \n", "119 6.0 2.2 5.0 1.5 Iris-virginica \n", "56 6.3 3.3 4.7 1.6 Iris-versicolor \n", "106 4.9 2.5 4.5 1.7 Iris-virginica \n", "133 6.3 2.8 5.1 1.5 Iris-virginica \n", "134 6.1 2.6 5.6 1.4 Iris-virginica \n", "83 6.0 2.7 5.1 1.6 Iris-versicolor \n", "77 6.7 3.0 5.0 1.7 Iris-versicolor \n", "70 5.9 3.2 4.8 1.8 Iris-versicolor \n", "126 6.2 2.8 4.8 1.8 Iris-virginica \n", "138 6.0 3.0 4.8 1.8 Iris-virginica \n", "123 6.3 2.7 4.9 1.8 Iris-virginica \n", "127 6.1 3.0 4.9 1.8 Iris-virginica \n", "\n", " species_num petal_area \n", "86 1 7.05 \n", "85 1 7.20 \n", "52 1 7.35 \n", "72 1 7.35 \n", "119 2 7.50 \n", "56 1 7.52 \n", "106 2 7.65 \n", "133 2 7.65 \n", "134 2 7.84 \n", "83 1 8.16 \n", "77 1 8.50 \n", "70 1 8.64 \n", "126 2 8.64 \n", "138 2 8.64 \n", "123 2 8.82 \n", "127 2 8.82 " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# only show irises with a petal_area between 7 and 9\n", "iris[(iris.petal_area > 7) & (iris.petal_area < 9)].sort('petal_area')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "My set of rules for predicting species:\n", "\n", "- If petal_area is less than 2, predict **setosa**.\n", "- Else if petal_area is less than 7.4, predict **versicolor**.\n", "- Otherwise, predict **virginica**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bonus\n", "\n", "Define a function that accepts a row of data and returns a predicted species. Then, use that function to make predictions for all existing rows of data, and check the accuracy of your predictions." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# given a row of data, return a predicted species_num (0/1/2)\n", "def classify_iris(row):\n", "\n", " # calculate the petal_area\n", " petal_area = row[2] * row[3]\n", " \n", " # predict the species based on the rules above \n", " if petal_area < 2:\n", " prediction = 'setosa'\n", " elif petal_area < 7.4:\n", " prediction = 'versicolor'\n", " else:\n", " prediction = 'virginica'\n", " \n", " # map the species name to a numeric value\n", " species_to_num = {'setosa':0, 'versicolor':1, 'virginica':2}\n", " \n", " # return that value\n", " return species_to_num[prediction]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "sepal_length 5.1\n", "sepal_width 3.5\n", "petal_length 1.4\n", "petal_width 0.2\n", "species Iris-setosa\n", "species_num 0\n", "petal_area 0.28\n", "Name: 0, dtype: object" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# print the first row\n", "iris.iloc[0, :]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "sepal_length 5.9\n", "sepal_width 3\n", "petal_length 5.1\n", "petal_width 1.8\n", "species Iris-virginica\n", "species_num 2\n", "petal_area 9.18\n", "Name: 149, dtype: object" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# print the last row\n", "iris.iloc[149, :]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n", "2\n" ] } ], "source": [ "# test the function on the first and last rows\n", "print classify_iris(iris.iloc[0, :])\n", "print classify_iris(iris.iloc[149, :])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# make predictions for all rows and store them in the DataFrame\n", "iris['prediction'] = [classify_iris(row) for index, row in iris.iterrows()]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.97333333333333338" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate the percentage of correct predictions\n", "sum(iris.species_num == iris.prediction) / 150." ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }