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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Intro to Python Data Visualization and Machine Learning using Iris Data\n",
"\n",
"In this notebook we'll play with IRIS data, an introductory datset for ML Learners. Here we will plot Iris data using python and will build machine learning models. Get your hands dirty!\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data Set Information:\n",
"\n",
"This is perhaps the best known database to be found in the pattern recognition literature. Fisher's paper is a classic \n",
"in the field and is referenced frequently to this day. (See Duda & Hart, for example.) The data set contains 3 classes \n",
"of 50 instances each, where each class refers to a type of iris plant. One class is linearly separable from the other 2; \n",
"the latter are NOT linearly separable from each other. \n",
"\n",
"# Attribute Information:\n",
"\n",
"1. sepal length in cm\n",
"2. sepal width in cm\n",
"3. petal length in cm\n",
"4. petal width in cm\n",
"5. class:\n",
"-- Iris Setosa\n",
"-- Iris Versicolour\n",
"-- Iris Virginica\n",
"\n",
"Check wikipedia for details - https://en.wikipedia.org/wiki/Iris_flower_data_set\n",
"\n",
"\n",
"#### We'll use three libraries for this tutorial: [pandas](http://pandas.pydata.org/), [matplotlib](http://matplotlib.org/), and [seaborn](http://stanford.edu/~mwaskom/software/seaborn/).\n",
"Press \"Fork\" at the top-right of this screen to run this notebook yourself and build each of the examples."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"https://www.tensorflow.org/images/iris_three_species.jpg\"/>"
],
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(url='https://www.tensorflow.org/images/iris_three_species.jpg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From left to right, Iris setosa (by Radomil, CC BY-SA 3.0), Iris versicolor (by Dlanglois, CC BY-SA 3.0), and Iris virginica (by Frank Mayfield, CC BY-SA 2.0). (Image was taken from tensorflow website)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Geting Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### First Import libraries and read data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.metrics import accuracy_score\n",
"%matplotlib inline\n",
"names = ['sepal_length', 'sepal_width', 'petal_length', 'petal_width', 'species']\n",
"df = pd.read_csv(r'E:\\ML - Data\\iris.data.txt', header = None, names = names) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check head of Iris DataFrame / first five rows of Data. \n",
"\n",
"This is the first thing you should do when you start to work on any dataset. Just one line of code!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sepal_length</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" <th>species</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>5.1</td>\n",
" <td>3.5</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4.9</td>\n",
" <td>3.0</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>4.7</td>\n",
" <td>3.2</td>\n",
" <td>1.3</td>\n",
" <td>0.2</td>\n",
" <td>Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.6</td>\n",
" <td>3.1</td>\n",
" <td>1.5</td>\n",
" <td>0.2</td>\n",
" <td>Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5.0</td>\n",
" <td>3.6</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>Iris-setosa</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"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": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Take a look at Data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 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\n",
"5 5.4 3.9 1.7 0.4 Iris-setosa\n",
"6 4.6 3.4 1.4 0.3 Iris-setosa\n",
"7 5.0 3.4 1.5 0.2 Iris-setosa\n",
"8 4.4 2.9 1.4 0.2 Iris-setosa\n",
"9 4.9 3.1 1.5 0.1 Iris-setosa\n",
"10 5.4 3.7 1.5 0.2 Iris-setosa\n",
"11 4.8 3.4 1.6 0.2 Iris-setosa\n",
"12 4.8 3.0 1.4 0.1 Iris-setosa\n",
"13 4.3 3.0 1.1 0.1 Iris-setosa\n",
"14 5.8 4.0 1.2 0.2 Iris-setosa\n",
"15 5.7 4.4 1.5 0.4 Iris-setosa\n",
"16 5.4 3.9 1.3 0.4 Iris-setosa\n",
"17 5.1 3.5 1.4 0.3 Iris-setosa\n",
"18 5.7 3.8 1.7 0.3 Iris-setosa\n",
"19 5.1 3.8 1.5 0.3 Iris-setosa\n",
"20 5.4 3.4 1.7 0.2 Iris-setosa\n",
"21 5.1 3.7 1.5 0.4 Iris-setosa\n",
"22 4.6 3.6 1.0 0.2 Iris-setosa\n",
"23 5.1 3.3 1.7 0.5 Iris-setosa\n",
"24 4.8 3.4 1.9 0.2 Iris-setosa\n",
"25 5.0 3.0 1.6 0.2 Iris-setosa\n",
"26 5.0 3.4 1.6 0.4 Iris-setosa\n",
"27 5.2 3.5 1.5 0.2 Iris-setosa\n",
"28 5.2 3.4 1.4 0.2 Iris-setosa\n",
"29 4.7 3.2 1.6 0.2 Iris-setosa\n",
".. ... ... ... ... ...\n",
"120 6.9 3.2 5.7 2.3 Iris-virginica\n",
"121 5.6 2.8 4.9 2.0 Iris-virginica\n",
"122 7.7 2.8 6.7 2.0 Iris-virginica\n",
"123 6.3 2.7 4.9 1.8 Iris-virginica\n",
"124 6.7 3.3 5.7 2.1 Iris-virginica\n",
"125 7.2 3.2 6.0 1.8 Iris-virginica\n",
"126 6.2 2.8 4.8 1.8 Iris-virginica\n",
"127 6.1 3.0 4.9 1.8 Iris-virginica\n",
"128 6.4 2.8 5.6 2.1 Iris-virginica\n",
"129 7.2 3.0 5.8 1.6 Iris-virginica\n",
"130 7.4 2.8 6.1 1.9 Iris-virginica\n",
"131 7.9 3.8 6.4 2.0 Iris-virginica\n",
"132 6.4 2.8 5.6 2.2 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",
"135 7.7 3.0 6.1 2.3 Iris-virginica\n",
"136 6.3 3.4 5.6 2.4 Iris-virginica\n",
"137 6.4 3.1 5.5 1.8 Iris-virginica\n",
"138 6.0 3.0 4.8 1.8 Iris-virginica\n",
"139 6.9 3.1 5.4 2.1 Iris-virginica\n",
"140 6.7 3.1 5.6 2.4 Iris-virginica\n",
"141 6.9 3.1 5.1 2.3 Iris-virginica\n",
"142 5.8 2.7 5.1 1.9 Iris-virginica\n",
"143 6.8 3.2 5.9 2.3 Iris-virginica\n",
"144 6.7 3.3 5.7 2.5 Iris-virginica\n",
"145 6.7 3.0 5.2 2.3 Iris-virginica\n",
"146 6.3 2.5 5.0 1.9 Iris-virginica\n",
"147 6.5 3.0 5.2 2.0 Iris-virginica\n",
"148 6.2 3.4 5.4 2.3 Iris-virginica\n",
"149 5.9 3.0 5.1 1.8 Iris-virginica\n",
"\n",
"[150 rows x 5 columns]\n"
]
}
],
"source": [
"print(df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Descriptive Statistics\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sepal_length</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>5.843333</td>\n",
" <td>3.054000</td>\n",
" <td>3.758667</td>\n",
" <td>1.198667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>0.828066</td>\n",
" <td>0.433594</td>\n",
" <td>1.764420</td>\n",
" <td>0.763161</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>4.300000</td>\n",
" <td>2.000000</td>\n",
" <td>1.000000</td>\n",
" <td>0.100000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>5.100000</td>\n",
" <td>2.800000</td>\n",
" <td>1.600000</td>\n",
" <td>0.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>5.800000</td>\n",
" <td>3.000000</td>\n",
" <td>4.350000</td>\n",
" <td>1.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>6.400000</td>\n",
" <td>3.300000</td>\n",
" <td>5.100000</td>\n",
" <td>1.800000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>7.900000</td>\n",
" <td>4.400000</td>\n",
" <td>6.900000</td>\n",
" <td>2.500000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"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": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Dig some information on features, rows and columns "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 150 entries, 0 to 149\n",
"Data columns (total 5 columns):\n",
"sepal_length 150 non-null float64\n",
"sepal_width 150 non-null float64\n",
"petal_length 150 non-null float64\n",
"petal_width 150 non-null float64\n",
"species 150 non-null object\n",
"dtypes: float64(4), object(1)\n",
"memory usage: 5.9+ KB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we've total 150 rows and 5 columns. \n",
"\n",
"\n",
"Check columns names of dataset."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Index(['sepal_length', 'sepal_width', 'petal_length', 'petal_width',\n",
" 'species'],\n",
" dtype='object')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.keys()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Shape Function to list the records and the features\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(150, 5)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Iris-setosa 50\n",
"Iris-versicolor 50\n",
"Iris-virginica 50\n",
"Name: species, dtype: int64"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's count example of each species in dataset. You'll see 3 species ['versicolor', 'virginica', 'setosa'] \n",
"# and 50 examples for each.\n",
"df['species'].value_counts()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"# Let's Visualize Iris data and get some insight on our dataset!\n",
"\n",
"Python has lots of visualization tools from Pandas, Matplotlib and Seaborn Libraries. We'll use couples of them to\n",
"visualize data. You'll find data visualization quite interesting and v interesting fact is without calculating/applying \n",
"any algorthim we will be able to make intuition on Data. Let's start!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Relationship between the Sepal Length and Width using scatter plot"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0xa8be6d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AIjLE/f8inJe+64CvgIPdz4wxxqSxeO8ADsXp8HVMC+sacIaJNiGSaJz9IMb6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\njDEmQ/0/tIQJ9yn5c2IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa8bef60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(14,8))\n",
"ax = df[df.species=='Iris-setosa'].plot.scatter(x='sepal_length', y='sepal_width', label='Setosa')\n",
"df[df.species=='Iris-versicolor'].plot.scatter(x='sepal_length', y='sepal_width', color='red', label='Versicolor', ax=ax)\n",
"df[df.species=='Iris-virginica'].plot.scatter(x='sepal_length', y='sepal_width', color='orange', label='Virginica', ax=ax)\n",
"ax.set_xlabel(\"Sepal Length\")\n",
"ax.set_ylabel(\"Sepal Width\")\n",
"ax.set_title(\"Relationship between Sepal Length and Width\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll check similar type plotting using seaborn after some moments!\n",
"\n",
"#### Now, let's plot histagrams on iris features."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0xa8426d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.hist(edgecolor='black', linewidth=1)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Take a look at density"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xbcb2e80>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Es1R2OeGEE3E6nbS0tFJfX8/evXu49tpPAvlar1NOOe1Vn29tncVdd93OAw/8CnCQTqcn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\n2q+jMo5egA4l3e+coOdr065U783FivjaL1qHg4rrbgCg6w93E+9zZdm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lmcBHH7LrR9/H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\nBwKU97j4QKk/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa842780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind = \"density\", figsize=(10,8))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's try Seaborn!\n",
"Seaborn has many nice functions for plotting. You can create jointplot, hisplot, pairplot, boxplot, violinplot(it's damn cool), heatmap polt etc etc. I recommend seaborn personally cause it has many cool ploting techniques!\n",
"\n",
"#### seaborn jointplot on sepal_length vs sepal_width"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x4d74940>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Y0wS8NpCKaoyf8+peyw4Oj2FfPIA5diGLFsytVMkSoqDfh/Gzz2h/E9eUGnV0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\nESf9/6Vg4VoWtsPHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbe49898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"sns.jointplot(x = 'sepal_length', y = 'sepal_width', data = df)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ZuenunQdFcQ2Np+YeF4vi8lr219v3HdTkAJKTGS679ld87u9eXa3yxQeDN994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\nXYOpV15lJZLpJA//wZJMJ+tdiojIIsq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"text/plain": [
"<matplotlib.figure.Figure at 0xc173978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#seaborn scatterplot by species on sepal_length vs sepal_width\n",
"g = sns.FacetGrid(df, hue='species', size=5) \n",
"g = g.map(plt.scatter, 'sepal_length', 'sepal_width').add_legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"See, we plotted sepal_length vs sepal_width grouping them in 3 species. It's more intuitive then before!\n",
"\n",
"Next try petal_length vs petal_width."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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G5+6aXFVSY+Y9srHxMXYM9zI+nil5zyzKfbW4994qec9OGtJ2gntyRxRZ9ki4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbc91400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# seaborn scatterplot by species on petal_length vs petal_width. Remember? We did it first using Pandas plot.\n",
"g = sns.FacetGrid(df, hue='species', size=5) \n",
"g = g.map(plt.scatter, 'petal_length', 'petal_width').add_legend()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x000000000BCC71D0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x000000000A8BE588>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x000000000BC47390>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x000000000BB68390>]], dtype=object)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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xfZT70O7Nv08z/nySE5M4TAsAAMBMjRJofyXJ9qr6kyQnJXlRa23fdMsCAACAlQ0NtK21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\nJEmSpF5yQitJkiRJ6iUntJIkSZKkXvoPc/qpqL/MqgkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbd7d470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# We did some seaborn plotting. Let's try another cool pandas plotting. Yes, BOXPLOT! \n",
"# It will create boxes represeting data values\n",
"\n",
"# Seaborn boxplot for on each features split out by specis. Try this plot again just changing figsize.\n",
"df.boxplot(by = 'species', figsize = (16,8))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xc4a4da0>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WoBkar732CrHY6LtsiYtbsWI5ANdm0WxNSrFhMt/j5eTJExw9etjtcESWSyQS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H8DPmKtvRX4S450s78/uf86YJu19nVghzHmw8nta4ENyWM3pI4HLgduHHGZh4C/SL7uZOBFoNwY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc73af60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The violinplot shows density of the length and width in the species\n",
"# Denser regions of the data are fatter, and sparser thiner in a violin plot\n",
"plt.figure(figsize=(14,10))\n",
"plt.subplot(2,2,1)\n",
"sns.violinplot(x='species', y='sepal_length', data=df, size=5)\n",
"plt.subplot(2,2,2)\n",
"sns.violinplot(x='species', y='sepal_width', data=df, size=5)\n",
"plt.subplot(2,2,3)\n",
"sns.violinplot(x='species', y='petal_length', data=df, size=5)\n",
"plt.subplot(2,2,4)\n",
"sns.violinplot(x='species', y='petal_width', data=df, size=5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Pairplot which shows the bivariate relation among features"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0xc74a390>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VVVVjN10QBCE6q/OUDm7qos22Bcf0cMS+1RuqsBdX8hHvbrynVRaGTvMbDZsw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\nS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KW1fptS6g7g/VrruxeeyweeBXYD14GngJdrrU0zCFjpYARnQn7ellUcerbPNHNyMKN7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\n7l2Ut7QkNeuziF2yMnk7HDmMXTjP6ntfyUT3FSauPEfZpo0U1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P7W2zxuiYgoKcmNt2aP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\nmZmZmZlZafw/8OkE0MYwk+EAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc74aba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(data = df, hue = 'species', size = 3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Interesting n cool curves ahead"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xdfb1e80>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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L3/9+DIMHD2Hx4p/4/HPPIFeIted/8cXnOe+8iwgGg5xzzni++uqL9L4+ffoxf/637LHH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\nDQaDYYLy/wEmOIP88a1OcAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe773da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# One more sophisticated technique pandas has available is called Andrews Curves\n",
"# Andrews Curves involve using attributes of samples as coefficients for Fourier series\n",
"# and then plotting these\n",
"from pandas.tools.plotting import andrews_curves\n",
"andrews_curves(df, 'species')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xea58668>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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gsK2zKHJzxRK/wA9uI4p2R6n30Xo9jOlYICi74Ac5Czwu+mip13Hs4WizbSI2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ALXAk3kr8fvNDc3vzXkAY2SSQV83+c/qaX8wUmTEhq75tbxY6+bqfX7owUn40ifW6xO/pptL0lF\nVTxOjjzOceHrqVfzMtp2r56TOn/Len88882nODt+BVElzWPZPZmmrWErfe1GZcLDPc35EqKxJIm+\nKKoy8vWqofh3X8KDqfmcn/weM4wV/Lb2d0zQ8nWRNncMP+/9P7r9OCdE7uGw4EKCSo6sb6ALD014\nFbPGhZT5d2eIA9GBaapJ2svQVjRrHMHjqo5gO9VkFy3MLD3MTDXIeMUYljiKaPNsHrJ7eDjXW7oR\nDwdB/kaet4ivYbYWZpyij2hfI8FQZAL57+F1Vp4YivqzrZQAZ0emMFPLN3M+nOvh4vTa0gz66arJ\nr8PTiCgql2fa+Lfdm3cHAvbXY1i+xwteCg1BHSodWyhKma6t5Jz4Fcw2ltLn13Bx4v+x1mvk4trf\nbPAgVfwZhpf9FpZADBGxD16+8ms3eKJjBMu+Eym338QzG8AnhUwOBw5rbm7+RlNT04HA6c3NzV8c\n8oBGyaQqOjybX/Uv5XnfI+zbfKf/VQ7WAoQbDkILTqbNs7kks5annWTpKTokLL4VvpsTam5BFx6u\nVLgseRI3pI9igtrBb2p/x87GEtrcRnr9KNsbyzcaiQxHDOUF+OEuzpGkFNa4jXyn+0Iy0uQPtb9m\nZ2MxQkDGD3Bx4pssdbfma5G7mGc+hyIkHW4dvlAYp3bR48X4bfJbLMzsS8D36VeMqjsP+jYznG4c\nFJbo9bgjSAfFhcoMNcj+Rozd9RomKUbV+kM1WNLnBbuff9s9LHLTJVXXUAiiMEsLsZsWZkc9zCwt\nREhsnhGxUkqS0qPdd2j3bTp8h+9O2Zr29sSw5OT6Ppdl27g711269c9Ug5wbnsJUzcT3fa6y1nOr\n1YlHnjgO1KOcE55KQrqcm27htcJcFAPBQUaMl500ndKhVmikpbtJ1v0jhYLHl8IPcFpNPqp9Lrcz\nVye/zBmxa5ltLCu8J5XRCWz8oWdjy5Rvt/K1fA1m4HcF27kUzz9qU06rhE8EmQA0NTVpzc3NblNT\n00nAvObm5pOGPKBRMhkSUkruy3Xzx8xassDeViunJl9mTHhaYZ7KZJ60E1ySWct63ymlYsYovfy+\n9iJ2DSwGYJUzkfMT32eRPZPv1PyTkyO34QNLna2ZZayoWs8YjliKiq5iAV5KUMoe7osYaaRzU+ow\nrkh+lZ/H/sJhoUdRhcSTCndmDua53K6cGL6bXQrn8ra9DZ1eHXPNV1CFz4PpedzccyzLxDhyVWoS\nET/HnFwbaTTeCowloxjDvucR36bJ6eJAP8sh9XMJmWOGXb4Iu8zaZJGT4lUnRfdGrB4nKAa7aGFm\na2F20sNMVQIjJqrBSEuPdi9PFO2+Q4e/4c+DO/NXzpjLvKUvcozZwOcDtQSHIS7L9/ldZg0P272l\nFNUuapjzaqbQqBikfJdzUi084+aVUhqCrxXkxks8i7PSq0uCgjgq22thnneTeEAj2haLUsarHfwi\ndhX7my+T9QNcmzqWyeo6jggvGFJ9VY5q3+HyZTfl4/J9HSH8inSZ456I414Emzhk6xNDJgBNTU03\nAEcARzc3N/93yAMaJZONos2zuaDwhBfzHU5JvsC+uTXokSZCDQfhmBO4PtvOPwtPh8X53F8K3c8Z\nsWtQCyH249Ye/DH5deqVXn5V+wfGqt20uuOYrK0vSzUJRLFuUOWCKfaaOBJqY0kSiSiqGBgjXA1D\nkUjCD3NOz+mM19v5QfQGzIJ65pXcDjxuzeHoyH+YprUB8ER2Di/bszk+/CATtXbWO438vufbPOLt\ntcH+VOmyndOLlPCuHicntCGveiElW7u9zLPXMy+2E1PMiaTb78NJvQNCJ9R4MGbtPoiyuoQrJau8\nfIPhEi/LYjfDUm/4XhUdwfZaiB21MLO1ELO1MPERFsot6dPhO3QUyKG97OcO32G9b5MexuOrVmg0\nKnlzxvz/Bg2KxkmTpzF9ydO4SGqEyqGBOo4ONDBBHZpwk77LRelWnnSSpRTW3loNZ0emEFc0VrpZ\nfpFazaqCkCAmVH4Rmsz+gRgP5nr4Q3ptSeU2XuiYKKySOQIIFBhR0+imQ/IZ8yl+FvsL9WofS5xp\nPGXN4WuRu9DwSinWyimmAwOxht3yoBTWxpcHyEuPi/C8nck5twPVveCq4RNFJgBNTU3jgBeAWc3N\nzVVngI6SycjgS8m/cl1clVmHjeQgp4uTe5+gRjolUmnRx/C7zBoWuWlU8gXm2foSrqo/h5iS//J6\nUnBP5mD+kTqMH8Ru4EDzRVJ+EFPkUMucUMtt5weTQZE4immupBckqmYZCSxfw1RcXreb+EfqMP4v\ndh2Nal6lttZt5LncLswzn6NOTWJLjfszB3FP5iC+HrqXeeFn8KTC31JH8Zf+L5EjULFtrZBGcqs9\nYZedhCY9ZjldHJJZyW72WoJy4KYhtCjB+gMQwiDT+RCul2V9uImWugNoFjqL3QzLvOxG/bfCKOys\nR5ijR5ithZmumlUL5a6UdJZFEe1VSGM4I8WIUBirGDQqOuMK/48tEEZjgTwCQxToGxujLF7fzd25\nbu6yuumRLgr5WSbHmmPYVQsPmQLr9m3OS7XyYkHZpQDz9BhnhicRUjQez/Xxq8yakjJsKyXAryLT\nmKQaXJZp466CzBhgsmLQK11S0icu1C1mHBkV/fwo+leODD+CJxX+k92PPQKv01Coo9hSxxBOWcQy\nQBTDC1JGRjwDy4OU9ShKd9m+arFy9yHZakTb+ESQSVNT0wnApObm5l83NTVFgdfJk0nVu80omWwa\n3vUszk+18o6XoQHB6ZnF7Ny/CAA93ITZMI9H1AhXZNrokx4hFGrVtVxVdy5b62tI+UEiSpasH+Cm\n9Bfp9yOcGr2JgHCwpVbhW2X5eskFeHC+2PMhFk/S01eLoVQaS0o2tFHJSQ2BxBAet6c+y/bGcmbp\nywvqLZO37O3YKdCMKWwSfoTb0ofwXN++zA28ylH1dxBTU7xpT+e8vtNY6m49sLONSc4KUKTPtk4P\nR6aXsK+9ZtB8xLy2SwLr1AjLtDqWGWNYYU5imTDIDiKnasquAIImNch8I87+Royxio4EuqVbqlG0\n+w7t3sDPHb5Nl3SHpCUTpSyaGCCIsYrOWDX/c/h91FTKC/C29FloJ7jd6mRxoVF2W9XkWLOBg41a\nzCEIaa2b49x0S8mOXgW+YNTx49BENOCvVgc3WB2lXp19tRrOi0whKT3OSbVU2NiPEzrrpYMAQgjS\nWyRKgTnG65wdv5KpWhvr3HoyMsg2BTv7nB9AF7lBUUq+Kjl8PeW9EEoMRUmUvaaSs6/FlwdvdP1P\nCpmEgb8B48iLZn7T3Nx875AHNEommwxXSv5h5eWbLpIvKjpfTzyLnlkB5EnFafgU10qFe3J5P6qx\nIsVFdReyR+BN1rhjCYgcY9Q+erwod2UOZp75PFvra3Ckhl52UaT9ACGRK5M2DtRHBhfgLV/FVLwN\nat/r3QbGaV30+WGW29PYNfAOSqEustZrZJK6HkXAGncsCxLzeSOxO8mAzzfrb2JvcxEZ3+TK/hP4\nZ/pQ/HJHXykRSOQw0tgxborDssv4XHZFRQQigU4lxDK9Lv9Py/+fLq+pSIkpXRyh4lXZRxyV2VqI\n3fQaNCFYX04avk2n7wxZNdEQG6SeykljrKITFepmU25VQzU1l5SSt9wMt+e6eNTuwyPfdX94oJ6j\nAvWMHSIFttzNcl66hWUFmbOO4FizgVPMcdjAeenVPFZwIFaBL5lj+G5gLE+5/fwms6YUjQggIlT6\npYeJ2EJDuPIy4m/V3MrXIneiC4/Vznim6usKD0MK/X6QmDqQTNmYNDh/Wx2ZfLhyvUoSkhJc91Qc\n72fDrveJIJNNxSiZvHcsc7Ocm25hhWcxQTH4uaoyvedx3MwqIE8qK+sP4A+uzTLPIoLLz+OXcWjo\nUdrcRh619uLw0CNElCyt7ljWuuPYy3y9omlRyvycda0sBeb5+cijWIDPFiKYwc2LKT9IVgYYo/bR\n5jTQoPVhCBcpod8PEy1crCtyW/Fw38HcZR9IjxLixJp7+E7knwSVHE9au3NR4hTWeY0jVgho0uMA\nazWHZJYz3e1BAD2KWSKM4r+EYlasHvJtBJAW+pASNsN3CeCREwb2EDf6on1JPoIYIIfGMqKoFdp7\nLrZvLgwnDQbo8B3usrq4J9dNn8x37RxoxDg2MIYdtVBVonvTSXNBupWWsubLk8xGTjIbWevbnJle\nXSKciFA4IzSR/YwYf820c0uuc6D3hwGzzCBiC9VSYDttFefGL2e2sZSMb2IIu5TuXWFPZmu9dcQ9\nWMUoZrB8eKTS+PLo3/P2IufcwlANjqNkUgWjZPL+YEufv2bbucnqQALHm2P4pp/F615YIhUl3MS/\na/flr45FBo9TIrfw7ejNJP0wZ/f9kDnGGxwb/nfpCa1B7SGs5Mr2oWKIynkRxT6TvkS0wiCyWMhc\n5kxliraWgHDJ+gGCSg4pwWFgW89nduW69NG86OTt32fpyzgnfjkz9ZV0e3F+m/gWD2fn5pMM1aIP\nKdHxcQqpnkluks9nlrN7bi3rtZqKiKNbrSxuhnwbVfpkhVYpER6B/jPuWTT4GcZIl4mhqYzT4wWy\nyBNFg6KjfchEMRJsjEyKsKTPAruP26zOEhE0qUGOMxuYb8Qxqnw2z9lJfpNZU/IUi6DwneA4jg6O\n4Tk7yfnpVnoLkeJkxeCiyFRUBL/NrOENN1OSuxf/L+5hSzQ7KngcH36Q79fcQEixyEmNQCFaWGlv\nxRR9NVpZ7aSI4fpSNqVnq/z34hhgAN9vwLIfJp/kqcQomVTBKJlsHrzlpjk/lX8inFZoLtsut55M\n14ISqSQiO3BtdFce82wODT7KufHLAMl5fd9nkT2LU6M38tlgftpjwg8TUwbC/IxvEFLy0s7hOuAz\nvslKZwo7BJbiSqX0lFckmZzUuT8zjxvTR/Cum+/szzsj38iXIvehCsld6U9zSeIbJGXNBlelkJIa\nP0dG6LiKiip9ZtqdTPL66VcMlul1dKiRinV030NB4gmBizIiPachXSa4KWY5nTQ53TR6Gcb4Gep9\nD0P4UOY1ZUR3ITzuCBT1/dtkfJAYKZkUIaVkkZvmdquLJ5wEPnml2JGBeo4w62moIs1+JNfLJZm2\nEnHEhcoPQxP4bKCOm7LtXJttLzVF7qFFOC88hWfcfq7ItJEoREPF/hVJvldlqOFk7xfj1A5+EfsT\nB5gvVqgTE14dYBNTBxRYI4023gt8fyKKsrawHRXLvhkp96tYZpRMqmCUTDYfLOlzdWYdt+e6UIGT\nzLF8PdgImXcrSGVRdHeuDk1nvL6IP9ZdSFRJ8+f+47m6/6vsoC/l9OjfmBN4E18OqN+FgKQfIlpw\nYnWlQjzWV1GAf9vehpiSYJLWtUFKoM8Pc1v6UG5Jf4EeP28lEfRtTlQe4fgxt1Kv97DancD5vafy\nkrNT5YlJSYOXQSDp1PJEofkeKv6GvSUbKcrr+MR8i6ifw0fQrkbIFrZR62WZm2thrtXCDKe7rEhf\npeSu1uTPr9BXgdAI1s0l2PApxBAeXB81bCqZlGOdZ3Nnrov7cj0kpYdWaEg81hzD9tqGEte7rbwS\nsdgt36jo/DQ0kd20Gn6dbuW/Tl8pAjkqUM83Ao38KdfOfYWanw4VM1I2ZYDZpkFysPk0P4v9qaTy\nAvCkzjq3lkl6x8CSm4lQqi3n+dNRxDKKEyAd90e43o9Kfx8lkyoYJZPNj1ecFBekW1jvO0xXg5wT\nnsw2WhAnvZJM10LczEpyqNxVux/Ph1wuqzuXydp6HsgcyDl9P8RBY27gJU6P/p1t9dUVX/Z+L0RE\nyVREJp5UWJDdi4OCz6ENkhO3uo3cmDqK+7LzyUqTWqFyoB5jdyVBnflr9g09gSNVbkgdxV/6j6+Q\n+xq+gwJYxT6RjRBFPh028PeA7zDFS9Jkd7OzvZ6gdHgxMImnzcmltFfUt9jPamWu1cr2TifqsE+9\nVW5hWi1CukivSCo6Zu3emHX7oOqxkX9oHwLeD5kUkZUeD+f6uD3XySovH61tr24iTFAAACAASURB\nVIY4zmzgU0asQg7t+z7/yHVyfba9VFifpBj8MjyZcYrBmal3eaegJAuhcHp4IlOVAL/LrGG5Z20w\n1bIYrWwJ1Ih+fhT9G0eF/1PxtVvrjmNiWV8WvD/SGG453x8LIoci8hZJrjcH27kDUEfJpBpGyWTL\nIC09/php4/5cD3rB3fXL5hhUISpIZa1aw9/rdua7jZewk7GEl3M78MOeX5KUNSh4HBZcyGnRGxmj\nDjgWZ30DQ9jEYklaeyexzq1nVmBVxf6b7Wlck/oSC629qcVgPz3KtqrJY26Cqfq9nB77K3Glnzft\n6Zzb932WuRvR10tJQLqEpIsq83WShBKouDonuwlmOl3MtLuY6fQwwUuwUqvlKXMKT5lT6FDDAIR9\nm31yazjAWs2OdsdGCGSEUGIgM1Ca76FgRHfArN0HLThli6qy3is2B5kUIaXkZTfFbVYXzxQaGhuE\nxpFmA4cH6iock33f58/Wem6xukrOy9soJudGppCULuemWugspMXGKzrnhqbwjp/l2sx6Mvg0CI1e\n6ZZixS1JKrsbb3Bh/JKSRxxAr1dHrdqzgVBlJF3xRSfikUJKDc+fiaa+CYDvx7DsJ2hs3HqUTAZj\nlEy2LJ62k/w63Uq3dJmthTgrPIUpav7pv0gqTmYlT5gTGTftKT4dfIZ33Yl8r/s81njjATCFxQnh\nezk5cjNmIaXlSUEsliCRiFXY1b+R244/9J/MEnt7YkLHQ9JTuPAnq22cFb+SvQKvk/FNLu8/iVvT\nh1TKfcsQ8nKM99IEpUOrHqtQXwWky3Snu0AcXcxwuonKfDZ9tRbjyUCeQNq0vNNt0HfYO7eGuVYL\nu9jt6FsoSYIIgqxsqVLNiQTr9sWomY0YYdf7B4HNSSblWOPluMPq4n67h7T0MRB82ohzrNlAU1kK\nzPZ9/pht497cgPHM9gXfr2edfq7Oris1h+6ihjk9PIG/Zzt49AOYk1IOA5vTam7ghMg9JcVizg8S\nULIVkfpICCV/+x1s/LjxdJnv74aivFJqpqyJ9Y2SyWCMksmWR8J3uTizlkfsPkwUTg2N58hAfUma\nWiSV3mwL72zVydGxB+jxovyg5yxed2aVtlOrJDg7+ifmBZ/aoAD/trMNZ/aewbvepA32r+FyQuRu\nvlvzT0xh84Q1h4sS32O91whQ0U+gAVGhkSh78gQY46XLoo4utnL70MqeR1vVGp4yp/CkOYVWLZ9e\nCkiXPXNrmWu1sHtuHcZmJZCNPQ8XUmJCL0UrQo1g1u6JWbsnSoHkPkxsKTIpIi09/p3r5V9WV0kq\nvJMW5jizgf31WEnxZvk+v0638ojTV/qEdtci/CI0keutTh4ozJdXyDdEztWj/DHbxlrfpl5o1AuN\npb5V9Rg2J5q0lVxVf3bJscGXCorwaXPHMEbtQS9TPBYxtOIrb3q0sVRZ+eu+X48QaYSwiESTo2Qy\nGKNk8sFhQa6P32fWkJAec7QIvwhPZlxZE1qRVF6Iv8MXGu/EQ+XM3h/ziDW3Yjsz1RXcOOZH1Md7\nWNazNT/uvpScnEC775AcVKjeXl/KOfHLmaGvosuL85vEd/ivtR/BwjTCak1pKnnp6eyCCeJsLURt\ntoVs1wLcbAvFm/g6NcxTgTyBrNLzRX1deszJtbG/1cKcXBvmRswW3zeEBnLjnc9qYBy+04v0c4CK\nEduRYO0+aMENyfeDwpYmkyJ8KXne6ef2XBfPO/na0lhF56hAA18M1BErRGsJ3+WCVCvPuAO+X/vp\nUU4JjuPX6TW8XuiWNxF82xxHPz43WR04SHZSw/T5DqvllvAgHoCCx9mxKzgi9EhFFLLaHU/KDzFL\nXzGiKGWAULSSFLj4+uD1BptL+nIcsfjSUTIZjFEy+WDR7Tv8Kr2GZ5wkYaFwemgihxi1FTl9J72S\n13I3s/u4G4koWS5Nfo2/pY5msLPpyhlz2WHJMxuMpwUIiiyn1tzEl8P3owqfu9IH84fkN8jImg1u\n72GhsLMWYaeCAeJMLTSkfcd6N81Dfa/xmOeytEAgmvTY1V7PXKuFvXJrCY3g5r7ZoZiwsadjJUQg\nthNuejmenc/Ba8GpmHX7YNRsj9hMdvMjxQdFJuVY7Vn8y+riwVwvWXwCCD4bqOWYQAPbakEAOgq+\nX6+U+X4dbMT5glHHhZlW1hd6V8YIje+FxvFgro+X3RQBBPOMOC/YSXq28EPEnsZrXFF3XsluCGCd\n28DNqcP4Yezvpb4UGLpOUmxy9P0pqOrqiterEVH56zWx0chkA4ySyQcPKSUP2r1cUnBwnatH+Vl4\nEvWDJK3L0g8xNvZzxmld3JH+DL9KfA8XrSTTXDljLlsvyfelKOSpxgP2C7zEL2NXMUHr5F13Auf3\nncbL9o6l7eoFH6vPGLXsYUSYogSGLVB3+Q4LC1MJ33QHPKB2Ewr7ZZaxR/8iaqQz5PofKJQQ+Jlh\nF1HNrTDr9sFOvoyTas6vpkUJ1O6FGZ+DokWGXX9z4cMgkyJSvsf9dg//srpoK1jT765FONZsYF89\niioEra7FOemWksJLBQ4P1LOtEuDy7PrSJMhZisnnzDr+nu2gW7pMVQLsooX5t927xXpSIK/4+nv9\nGWxntJRe6/NqOK37XM6uvYxttZaKznYYOkpxvf3Q1KdHlPaCUTKpilEy+fCwzrO5KN3Ky26KmFA5\nIzyJg4x4xTKdfiuW9lWajBU8Y+3CT3rPJC1DBIG3Z8zlC0tfYrlvYQN1Si8/jV7D50JP4kiVv6WO\n5pr+47ExEOTz5V81x7CvHt2ouqnXd3msQCCvuelS2mNXLcJ8I86BRqw069yzu8j2PEeu76UyNdWH\nDCVQ0dhYDUZkB8yGediJl8klXsmnwIRGILozZt0+aOb4LXqIHyaZFOFJyTNOktutLl4uRCITFIOj\nAw0cGqijRlFZ6mY4L9XCisL7aSA4zqgnhce9hfkqgrxrcUxo3G13I4H5egwXyePOljtHgc+Pa67j\nxJoB+0FbapzcdRFN+gp+FrumwvR0uGK74+6Fpj5fNb1VjtHIZAiMksmHC19K7sx1c2WmjRySTxtx\nfhKaWMpjA6T9BKuUb7CH+QJLnWmc0n0O7X5jWWQi+WJwAT+JXUdMSfGG3cR5fd9nmTuNRlSOCo7h\nC4G6DSKfwUj6Lk84CR7J9fGKmyolKnbUQsw34swz4lW7rIuQXg4r8QpWz7P4Tnfh1S0pHB0Jhpse\nn4cWnEIgvjfS68fqfaF07FpoK8zafTBqZm6RFNhHgUzKscLN8q9cFw/leskhCaLw+UAtx5gNTFNN\nFjkpLky3sqYQyZgofMVs4HU3UyIiA8ERgXrecNMs9rJEhMJxgQaesBMs34LKr0+Zz3Jx/DfoykAR\n/pLkN3g4O4+bG06jURuQ1g9HKL4/FiE6SmmxwYRS7j4xSiaDMEomHw20eDkuSLfwppuhQWicGZ7M\nPka09HdXOrwgT+fToXvo8Oo4vfss7t32m8xf+k/OjV/BzubbpP0glyVP4vbM59lDCXNsaDx76jWo\nw0QhaenxpJ1ggd3HC06qZFU+S80TyEFGbEin2qEgpY+TXorV8yxOelnhVZ38TX0LSYI3GVVITujo\nNTugGXU42dW46eUAKHocs3ZvAvE5KGpwsx3BR41Mikj4Lvflergj11Xy9tpLr+HYQAN76TU86yT5\nbXpNqRelRqgcpdexwE2UiKYWlYMCcR62e0lJn5lqkAP0GDdaHVVrfJsD09Q1XFv/c8ZqPaXXXszt\nwDm9P+PL4Vv5auSBDQwdq0FKhbx82C38Xrn8aGQyBEbJ5KMDT0putjq5NrseB8lhgTp+EJpQmpkh\npc+j3h84JHw5OWkwJt5JV6IBU9g8bu3Bxb0ns3t/gkOzy2j0Myh6HC04FS04BT04FdUchxAqWenx\ntJ1kgd3Hc05/Ka89XTULBBJnohoY7lBHDDfXgdX7HLm+V0HagILQokg3yUeDWKobgwg1hBbaBqSL\nk16eT98JnUBsl3wKLDD2fe/5o0omRbhS8qST4Hari0WFOfKTFYNjzAYOCdTxlJ3gj4W5PQB1QmO+\nHuPfdm/JtmUbJcBENcCTThIFOCxQh5SSe+3eoXb7vhAWGS6tvYC9zDdKr2X8ABcnv8MyeyJ/H/PT\nir6s4WsjG/ajwGhkMiRGyeSjh+VulvPTLSz1LMYpOmeFp7CbPlAUXujcyvzwLxgT7+Td3in8KXkq\n24mj+aweReTW4mZW42RbcLOrkQU5Zw6Vl83JPB2azotaLVbhCtpKDfBpo5b5RrzUTLkl4HtZcn0v\nY/U+h+/kbySKMRakj+908eGmwor3BDnotcLvShg1UI9v95ZsW/Twtpi1+6BHmhDDzHMZDh91MilH\ns5vhX1YX/7X7sJGEUPJjhs0GnreT/Dm7nnSBQMYKjZlaiKecZMkkcic1TLd0afVz1AuNY80GHrZ6\nWLUFpMQCn1NqbuLkyO0VqqyXcrP5S/JELq47j/gwppHDWbWMFuCHwSiZfDThSJ+/ZTu4wWrHA44L\nNPDd0PiSZPcF51kOnfhZFqxdzI76xKrbsH2P57NtPJLr4hkJmcK6E9wk+1utzLVa2EYNoIUGohfF\naNii1iNS+jipJWR7nsHNrARA0WtRzQl4VnuBWD4sVIlSlALBFvL9QgkiFB3fzV8zil6HWbcPgdhu\nKGrlfJaN4eNEJkX0+i735Lq5y+qiU7oIYB89yjFGHe+4GW7IdZa65icKgzpF5c2CGkwDdtbCvOlm\nyCHZvSBHv9HqLNm6bE7sH3iBS+suQhdeiRRyUufW1JHsaz7LtnpradmREMqoNHgjGCWTjzbedjOc\nn2phtZ9jqhLgrMhkdtDyHlfVbkaulLzipngk18sTTpL+QgpivGIw34gxTwuyda4dL9tSiF5aC+mn\nPIQaQgtORQ9OyZOMORGhbFrNZKRwrfVYvc+SS7yWbzwUBkZ0RwRgp5oHzBs/cGxYTxFqBDUwFs9a\niyz2swij0DDpg2JgxnbDrN0bNTBmRHv5OJJJEa6UPGb3cZvVxVuF6HeaEuCYQD2r/Rx353pKBDFV\nMXCkpK2g9KtBYaIaYImXRUdwdKCelZ7FC25qyP29VxnHJHUdNzX8iHo1/z5bvoapuKxypmAjaBpk\npFqO4Qjlfz7N1dTUpAPXA9OAAHBhc3PzfcMe0CiZfORhSZ8/Z9ZxW64LAZxgNvL/gmOZODZOR0cS\nrzDnYoHdx2N2XymHPUboHGTEmB+Is71afTKflB5err2QGluNm12N7/SVLaGgmhPQQ1NL9ZfN7cbr\nu+mBFJibtx3Xw9MxanbASS/HTi2pILwPFWoMM7YzvpvASS0udNRDeVSjh6dj1u2LHt522BTYx5lM\nyvG2m+F2q5OFdgIXSY1QOcSopdt3eNRJlLR0U4RBj3RIFWhhrNBwgW7pMlEx+IJRxy25TpJy8zY8\nBoXFtfU/Y0cjLwbp8yLE1RS+hE6vgbFaV2nez1AYTCz/85FJU1PT14Gdmpubf9jU1FQHLGpubp4y\n7AGNksnHBq86KS5It7LOt9lWNfnvdnP46arFPGr30V1Q1tQJjXlGjPlGnB218HsaTes5CdxCzcXN\ntOBabZTLaxUtjhaaUohgBgr77xdSetj972D1PIubfTe/L6OBQHwvVCOO1f00bnY1H259JQ+hRQmN\n+QxCMbCTb2D3LwYqO/8VvY5g3X4E4rsilA3rUf8rZFJEl+9wt9XNXblueqWLAuyj15DxfV7z0qVP\nbYKi0+47pW/URGGwTtr4wAF6FBOF/1Q80FTivUUpkl9Er+TY8MMUR1p3eTGm6evJSZ2AcOj3g0RE\ndkgblvLXPgmRSQQQzc3N/U1NTfXAS83NzVsPe0CjZPKxQlp6XJFp455cT6nPJCrUEoHsokWGlQK/\nF0jfwbXW4mZX42RW42ZbkN7AFEiEjhacjB6cWiCZKSjqhgOaNgVudm0+BZZ8HaSHUAIE4rsTiO2G\nk1mF1fN0qZD/waLyVibUGsJjP48emYmTbi4QyxIqelsKjZDBhk+hGnWll//XyKQIW/osLKTAlhTq\nJVspARQoNT4KoE6odBeiEJX8g1CndAmhcESgnkdyPXRsZluWw82HOa/2CoQAR6rcm5nHF0OPlkwi\nW52xTNDaS1MeB+MTV4BvamqqAe4Drm1ubv7nsAc0SiYfS7zg9HPoxIncu2YNc/SaD3TmuZQS3+ku\nEYubXY2X66D8JqsajWiFusv7Kez7bgqr9wWsvhcKUxUFemQGwbp9EFoMq+dpcolXR2T2uCUh1Aih\nxs8RiO2C9HM4qXew+l4tiAzK35exmA2fIhDdkbFjY/+TZFKElJI33Qy35Tp53M6nu2qESgiF9kL9\nRAHCqPQXSMNEoCDI4LOtajJDDfKg3btZY9HZ+mJuaDgDTfhICX/qP569zUXsYiwBoN2rw/MNxmvr\nh6ylfCLIpKmpaTJwN3B1c3Pz9Rs9oFEy+djio/Rk63tZ3GxrITW2GsdqBb+8sB8spcW04BS04KRN\nKuxL6WIn38qnwKy8Ckc1GvMmjdEdcdIryXY9ipdr2+zntikQapjQmM8QiO+OECIviU6+Sa73Wbxc\ne9mCOjP3/yNtrSvQRliw/zijw7e50+rmnlw3CenlSUSoJYGICmiIkhIsjFKSGn9aj7PESdPK5rPq\nGae0c0/j9wgpeTHFfZkDecOewRmxazGEh+Ub3J36PMfX3FNV5fVJSHONBR4HTm1ubl44ogMaJZOP\nLT5KZDIYlYX9lkJhvzwtpaCa4wupsXxxf6SFfSfbgtXzLHbyTcBHKEEC8TmYdXshhEa263Gsvhc/\n3GhFBAk3Hkygds9SROa7KbLdT+V9wLw0Mw+4isVPnIJQIwRiO2PW7Y+qf/hzVrYkLOnzX7uX260u\nlnv5G7mBKDXOquTjuKJAO4hCFp+4UNldj7DQTlREKe9nFn2N6Ofuxu/RqOY75pudqfy452dcWXcB\n0/Q2pIRbU5/j0NBThJXUJ64AfxlwHLCk7OXPNTc3Z4dYZZRMPsb4KJNJNfhOskQs+X+DC/uxip4X\n1Rw/bGHfd5JYfS9g9b5QqOEIjJpZmHX7oppTsfvfINP+INIbWnK65WEQavw0Zt2+FWk+N9vGhKkz\nWPzkDypIT9HrCdTuiRnffbNat3zUIKXkVTfN7VYXTzkJfCqJodxRTRR+d4FZapB+36O1TN2nFZZ9\nL3fWkMhwU8NP2E7PW9An/RAndv6ek2tu55DQEwCsdibQ6mzHvsEnPjkF+PeCUTL5+OLjRiaDMVDY\nbynUX1YPUdjPK8e0UPXCvvQdcsk3sHqeLaW51MD4fDNhdCdcaz39a29GFmTHHw40gg3zCDYcWCKV\nxsYo7e0J7P63yHY/jmetY+CWKFDNCXlPsJodEFvQneDDRptnc2eui/tyPaW0VxHVCEYFdtXCvOym\nKwgkjkLfe4hTTGFxVd05zAm8BYArBWf2/oSJWjs/iN4IgC/h4cxBfDa0EMEnIDJ5Lxglk48vPu5k\nMhjFwr6baSn0vLQU6gzlBewxBWLJN1bmC/tKaX03uzqfAut/G/ARahgzvgeB2j3x7C76194KH1ik\nUs2xWGDEdiM87gjGjYtXfH6+Z2H1PEuu74VSh30eClpoa8zaPTAiTVusifTDRlZ6PJTLp8DeHcZh\nuPiuNggNDVhfFtnp5FNjyU0kFR2H39f+hnnB54F8Kuuf6UNZ7k7hrNjVgEARPu1ePTUyS2Pd+lEy\nGYxRMvn44n+NTKrB96yBnpdC1/6Ghf0pZcX9fGHfc/qwep8n1/ci0ssCCkZ0BwLxvXCt9WQ7H/rg\nZq8IDaSAQQXkmQdcReuKlwjUNG2wimutJ9vzJHbyrcrjFCpGZCaB2M7o4emIjYwV+DhCSsmLborb\nrS6eGWYWSlGkvZUSYNUg8hmHRhcum1I1U/G4IH4JXwg9Xiq0v2FP57b05zkvfjkSBYGPJvzRNFc1\njJLJxxefBDIZDCn9fGG/1PMyfGFfDUzAzazC6n2mpKZSzYmY8d1xrXXk+l78AI9egBIFP59uKxbg\nIa8CC8T3Ilg/F6UspSWlSy75DrneZwsNm+WbMzBqticQ27HQba/xv4ZWL8e/sp3cbfcM699lIAgJ\npeT+AHmymSaMTTKTFPj8MnYVx4QfLhFKjxfliuQJnBn/CxJBhzuBGfVvjpLJYIySyccXn0QyqYaB\nwn4hgrHWghxU2A9OQahh3Fw7XnYVkO8NMWpm4VpteNaa4tJ8INb4Sg0z5/6mRCYVEDp6eBuC9Qfk\nj7uQxstHWy+TS7xY6LkpW0UxMWp2wIjuiB7e+gOfZ7+lkZYe91vdXGe1k5JDfz61QqV3UN2lDgWE\noGfENi2Sn0Sv48TIPXhSoAqJI1Wu6T+Ob9bcgYpPbaxnlEwGY5RMPr4YJZPqyBf22wZSY5nVlYou\noSHUMNJNQcEkXQ1Owbc7kV4GoZj5TmdpbdHjLEUmShh8H6guulT0MQTiuxGI7Yyqx/j/7Z15lORV\ndcc/v62W3pmNWZjpYVjezMAMyCIgiohK0GM0Gk9MNBpEg0bjEpPgggZjghuLmhzF6MEQRCVwFDGi\nRENECQioHGFg4AGz9Gzds9LTS62/JX+8193Ve/d0V1f1zP2cM6dqfv2r33tVr+r3fffe9+5Nkpgw\nt438C49S7n2KkXEZx2sk1Xw66ZaN+A2rjzhFfj0SJwm/Kh3mhtzuweJcY5HFIT/CklnrZnk2zk9x\nqpDwvubbeG/z7ZQSn5QTkiTwk9zFXJx9hOPb9oqYjETEZP4iYjI1TGD/kHWNDezYHx7YH8RN25hM\ngpdaQpJEVStBXOnmGsJs34NxAtBumqDxFNKtLyLVeLLJZ3b49+Rf+A1xqXNUPx2/mXTzBlItG62V\nU9P736zyVLmfT/V3sCceO/YV4IxyjTXistRNsSWe2kThnU138jctt5CP02ScIo4DT5VO5rxFj4mY\njETEZP4iYnLkmMD+zmGxl/EC8l5mNTgJ0WDMwmdkUscjwYjJB5jYrTaxgLmpxaRbNpBqWk9CQunw\nYxS6H4NkdDZj128j1bKBdMtGvMyKo0ZYdoQF/r5vGx3x2LGRsdbUneyk6UxK9E9hcvCWhh9zddtN\n9McZ0k4R30kkAD8WIibzFxGT2WMgsF/q3Uyx53Hi0v5R5zheM46XJi4dxNzgA/t4ZMIytmUyA5yA\noOFEgqZ1QEy5dzPl3Bb7RxcjTOa26gYLSLdsJNWyES+99KgQll3lIn/bv3VcURmJD6z3GnjC1mOZ\niNdnf84/tply2TGwtG2fiMlIREzmLyIm1cPs+XiQ/KGHIZ5sX4pr3WPjJpoYk1kXkxGYjAInAjFh\nbvvg3hUTEyoPLlLwUotJWWHx00uq1p+5YmuY5+N926csKsvwwXHonGSp+KWZB/jccdcRJR6L2g6I\nmIxExGT+ImJSfUyZ4WfJH7x/2NJcx80CDkk8clY79dVg1RaTkbipxTiOS1TcDzaBieM3mawDA8KS\nXkqqZaNxhaUWzlnfqsGmcj+f7tvB7ikuDT7Ta2BTlJsw6f1F6Ue5YcFnWdh6UMRkJCIm8xcRk7kl\nLO4lt/deyv1Dqe+89HKC5vWEuW027jJ1l9dci8kwHB/H8QYrRTpuFsdrtHt2rLBkVlhX2Aa84Lja\n9HMWeKTUy7V9HVOqjdKMw3I3jZ4gQH9e6vd8b80HRExGImIyfxExqQ1R2Ed/5/cp91WISmYF2YWX\nkCQRhUP3ExUmT4VfUzGZAJOixrc1aoyV5WdXkmo5g3TzBtygpbYdPEL+p9jNDf27eGEKorLOy7I9\nKoxaXjzA1rUvEzEZiYjJ/EXEpLZE5cP07bnDFsAyOH4b2YUX4qVPoNj9CKWexxlvNVa9iskQHl76\neHBcosJuzPtw8BtW2+XGG3D9plp3ctrcXTjIV3J7yE3ijgyA9W4Dj49yZYqYjImIyfxFxKQ+KOc6\n6O/8AVFp39BBJyDTdg6p5tMp9T1D4YWHK5Yee+D4rLvoxjoXk0pSeJnFkCRExYHsxg5B40mkmjeS\najltxqWa55rb8vv4Rr5rsJbKeKzAp4eY3grxETEZAxGT+YuISf2QJDHF7t+S23cvSWwSSw64iILG\nU0m3nUNU3Ef+4K/ABoTXvfyrPPeb60mcVuLCFpKod/wG6goPN2gFXOLyAXvMJWg82awKaz4N18vU\nsoNTJo5jvp7r5LbSgUmXTax3M2y2sRQRkzEQMZm/iJjUH3GUJ7//58YSIcFxs1ZczGqqTNt5xFEf\nhUMPsu6iLw+3TBwfN1hA4reRlPZC2MNs7rivGk4ax3EH3yeOR9CozGbK5nU4bv3XYgnjmOv7d3N3\n+dCEn3gWMyKbRUxGI2IyfxExqV/CQif9XT8izG/HxB4WDS7JddwM6bazOXHDW9m26U7KuS1Epf0w\nagWRg+M3gddKEvbYOixzkIRyxlTsOXcCUk2KVMsZthZLfafML8Qxn+rbzgPhxFZiPVgmc5IjWil1\nHvAFrfXFc9GeIAjD8TPLaGm/klLP4/Tv+ylRcS+O30KQbafUv43CoQcBKHQ/RJBZSWrBS3DTS0nC\nPsr9zxMVdhOHPSY7cOWNzU2B2wxxEeIc9SkuFaulkjKl3icp9T4Jjk+qaT3p1jNsLZb6S5mfcV2u\na1lDTxzy4Z4tg26tASrr1deaqn96SqmrgLcD/ZOdKwhC9XAch3TrmaSa15E78AsKB/+PUu8m/IY1\nBE0XAV/F89so57ZUpD1x8NJLCJoUbvoEPC9NOb+dMLeNqHTQJKGMD1a04oLTAE5sLZt6FBdLElLq\nfYJS7xOAi59tJ9N2LqnWjXWXMr/F9flWm+JAXOJd3c+x16bMqRchgbmxTLYAbwK+PQdtCYIwCY6b\npnHJZWTazqG/678o9z9LmNsOYJbXphZCEhEVDxIWdhLmd9qsxqZwl+M14mdXkW45Eze1iKi0n3L/\nFqJip9293jcitBKYqk5JmfqKuVQmrYwJ89voy2+Dzjtw/DbSTetItZ2F8GN0QgAADkFJREFUn1lW\nN+KyyE1x94LT2FrO887eZ8fL5VwTqi4mWuvvK6VWV7sdQRCmh5daRPPKyyn3PUP/vnsAyB+4b/Dv\njpvGSy8l3XomjttAkpSJw8NEhV2U+56m3Pf0wJXwM8tJt56Jm16JQ0g5t5Uwt8PuYC+PoSGzk+l4\nZlR2KsBYUcYlloTdFLp/TaH714CDl1pK0KQIGlfjZ1fhetka9HeINUGWXy44g/vyB7k6v2vyF8wB\ncxKAt2Jyu9b6/Ek7JAH4eYsE4OcvSZJw/PGt7Nr6KFGhi7DYSVToIiodYKSryg0W4KUW4bhpIzCl\nbqLS8HosbtCGn203NUv8VqLCLsLcVsLivjEC+2CWLifUh+USgOtPmCjTDRZbYWknyK6yu/RrF/9e\nsqTl2AjAC4JQ3wzcCFNNa6Fp7eDxJC4TFfcZcSl2ERY6iYqdlPufHX4BN40XtOE4KeKkTFzuptTz\nuN1xDzgp/OxKssddgJtZQRL2Us49T5TfZbMH11NspQyDBa4cHK+JJC4Mqy8Tl/dT7N5Psfs35iyv\nYVBY/IZ2/MwJdb9SbLYRMREEYVwcN8DPrsDPrhg8liQJcdhDVOwiKnQS2seh7L8Vr/cacdzAlC7O\nbSEcDOyDl1pC0HQqfrYdxwko5ztsYP/AuIXB5p5k+OZNtwGHZGgPy8BZUW6E68/Fzyw3wmItNC9o\nnbtu1wDZZyLMGuLmmt/MdPyGrJguomInYaHLBuVH5JJyTPoWM/uPKw43VLiNFhOVDlLuf24osF93\n+FYoC4x2zwWYmFCF689vw29YZd9jO15m6awF9uvBzSViIswaIibzm2qMX5IkJGHvYAxmwF02lhUz\nuvaKg5teTqpxNW56JRCZuEuuY1hq+rrBSdvUNCPvqR6O30ASFQdT15jzA/zsSoJsuxWZVUecT6we\nxETcXIIgVA3HcXCCFlJBCzSpweNJXCYq7R+MwYxtxSTExd0UiruHruc14Te0k1lwAa7XSljcTZjb\nQlTcZy2EGpJULtStrPQemc2eFsdrxPEaIS5acdwKdquOl1piXWOrCLLtNQ/sTwexTIRZQyyT+U2t\nx29MK6bQaVK7jLvKy8VNLSZoOBGvYQ3EObNjP7/TBvbr6/5mqNzf4uCmFuN6jSRJyVhsFdaLcf0Z\nYfGzq/CzJ+C4qVFXrAfLRMREmDVqfTMSZka9jl8Sh0SlfYSFTmPJFHYSFrvM7vsxcNyMmeE3nogX\nLCYs7qnDwL7FTZtUNAM4afzsCbh+o41BdVmX3uAL8DLLrGvMBPe9oLUuxETcXIIg1DWO65uVUZnl\ng8cqrZgwv5NybhtRcS9J1E8SFwgLOwgLOwauMLhr38uswAHrXttT+8B+hZA4fjMk4bAVb26wkFTr\nWbhek7FcCrsJ83tMcbAXHjLn+PWxSkzERBCEeUdlLCY1LBYTEha7KPdpyrmtJpYS9ZNEfYS5voob\ntREYL7sGN2gliXLEpf3E5W5qtedlKK7i4AYLcNw0UekApcOP2eMufnYlmYUX2T7nCfM7CfMdNenv\nSMTNJcwa9eomEabG0Tp+SZIQFTop9j5p3V37Ri9XtjheA26wAByfuHzY7DFJapv2xU0twUstsqls\n9jAQb3HcDEHjSfgNJ9O+9lJxcwmCIFQTx3Hws8vxsxVusrhMOb+Dcu/TxkVW2gdJSBLliEYJjTfo\ngkqiPHO9JDku7SO2JZgdr5WgaS1mmfQWSr1PUep9ak77Mx4iJoIgHHM4bkCq8SRSjScBdld/+SDl\n/g7KuecJ8x0Vge+IJOwe4yqVy3/nhiQ6TOnwI/Z/Ll6jImg4GfjqnPZjLERMBEE45nEcBy+1CC+1\niMxxZwMQRwXC/A7C/A7Kue0mNjHM5TWXQjJWluWYqF8T9es57Mf4iJgIgiCMgetlSDWdSqrpVACS\nJCYq7iXMd1DOdRDmdxCXDw1/keNXKcZSeU0XyAB56mkfjYiJIAjCFHAcFz+zDD+zjMxxpppGHPYO\nCkuY7yAs7B7xogCSoTops0MMVMZ1Rm9irAUiJoIgCEeI6zeTbjmddMvpgAnsh4U9RljyOyjnOkii\nvspX2MfZXH489ubNuUbERBAEYZZw3ICgoZ2goR0YCOwfsq4xY72YEshHHyImgiAIVcIE9hfipRaS\nbj0LGAjs77TWSwdhfidJXE/V3I8MERNBEIQ5xAT2TyHVdApQGdjfYQuEdYwO7M8DREwEQRBqyPDA\n/nmACewPxFwKPc9AuL/GvZwcERNBEIQ6w/WbSTWfRqr5NBqPf63JOVbYTb5nM+XDj0Kta7eMQVXF\nRCnlAl8DzgCKwLu11s9Xs01BEISjDcf1hwL7S19DkiQUc10U9t5JVOysdfeAoXVq1eKPgIzW+gLg\nY8ANVW5PEAThqMdxHDKNy2hb80EWrvtcrbsDVF9MXgrcC6C1fhg4p8rtCYIgCDWg2mLSAhyu+H+k\nlJI4jSAIwlFGtcWkB2iubE9rXdviAIIgCMKsU20xeRB4LYBS6nxgU5XbEwRBEGpAtV1OdwGvVko9\nBDjAO6vcniAIglADqiomWusYeG812xAEQRBqT7XdXIIgCMIxgIiJIAiCMGOcJKmfSl2CIAjC/EQs\nE0EQBGHGiJgIgiAIM0bERBAEQZgxIiaCIAjCjBExEQRBEGaMiIkgCIIwY0RMBEEQhBlTEzFRSt2i\nlLpsgr/fr5RaO0ttbVBKXWSfb1dKZWbjusc6k43hJK+9XCn1+jGOd9nHVUqpP7TPZ+27cDSjlMoo\npd49yTkTfv8HPv9Z6s8blVLLlVKrlVIPz9Z1j3ZmYxwnee2XlVKrRhxbq5S63z6/SCm10T6f1vfh\nWLBM/hhYX+tOCENorW/RWv9oglMuAS6cq/4cJSwFJrwJzTEfwtQzEqZHVcdRa/1hrfWOCU65Alh+\nJNeeNNGjUupU4N+BECM+bwXeB7wM8IAbtdZ3WmV7BliLyRD8FmA/8G/ASmAZ8COt9Sen2jmlVCtw\nM7DQHvqg1nqTUuo5THp7BezFCEYKuBXzQewELgLOBS4HSkqpx+w1blJKnWifv1Fr/cJU+zNfmesx\nVEqdAVyrtX6dUupPgU9orTcqpS4E/gLYA3QB3wS+AZwGbAHSSikPU+K5wWabBrhGKXU80Aj8mdZ6\n6yx8LPMCpdTlmPLXzcAi4DPAAeBaIMJ8bu8BrgbWK6X+AfgWcBOQwYzZJ7XWP5xGmxuAf8F8Bw5i\nbjAvAj4KlIA1wO1a62uVUicDtwBloANYDVwHnIn5Pf45sFgp9UPblye01n95RB/GPGauxlEp9SEg\n0Fpfr5T6OlDSWn9QKXU1sA24EpN89zDwHcwYD3gEzgYuA85SSm3G/B6/C6zCfA/erLUuj9f2VCyT\nVwOPAq8CrrEfyIla65cCrwCuVkq12XMf0lpfDPwn8AnMDehhrfUfAC9m+hmEPwHcp7V+BeZDuMke\nXwN8ytaWX4wRjSuBbVrrC4FPA8drrXdjvug3aq0fta+92fZxu31vxwJzOoZa68eBdqVUGngNEFsx\neAPwg4pT3whktNbnAx8HGrTWEfB54LsV1ss9WutLgJ8Cbz7Cz2A+04gZw0uBGzETgzdprV8O7MZM\nmK4FNmutP4OZDNygtX415nfx/mm2903g/fZ78BPgKnu8HTNxO7/i2HXAZ+1v9EEArfU9wO+Bd2DE\npwVTfuIC4JVKqSXT7M/RwlyM410YQQAz2T7PPr8M+HHFeVcD37Pj9kMArfXvMGXWr7LWSxNmIvhS\noBUzoRiXqYjJzUC3beSvgeOAs+0s9l4gwMxGAP7XPj5k38gh4Fyl1HeALwHpKbRXyQbgCtvWN4EF\n9vgBrfVO+3wnRrnX2XbRWj+DmVGPxe/sYxfQMM3+zFdqMYb/jRGqlZgZ0KswltB9FeecihE57Jd3\nJ2NzLI5ZJb/UWsda671AP+YzvcOO36WYm3wlncB7lFLfxoh/MM321gFfs9e/Alhhj2/SWoda634g\nX3HugAX5wDjX26q1fsGWpNjHsTmGMAfjaH9HDUqpFwNPA/uVUucCh7XWPRWnDv72sJOAMTiktd5u\nn0/625uKmLwBeEBr/UrgTswM4xd21nIJcAfGRAM42z5eCDyFUdpurfXbgBswb9KZQpsDPAN8ybb1\nJ8Bt9vhY2SmfxMx8UEqdhDElAWKGv89jMbNlLcbwLoy76gmMsHwAeH6EmbyZoTFbztBNS8ZsOGcD\nWOsuAzwPvMGO37WYCUDlZ/ZPwK1a67cDv8C4MqaDBt5hr38VQzPaCX93GItlgMr+HOvjN8BcjeM9\nwBeBn9l//4r5PVYy+NvDeHYGOOJxm0pxrN8C/6GU+iTGv/5m4G1KqQcwZtBdWutepRTA5Uqpj2BU\n9+2YYNJ3lVIXAEXgOaYX3LkWuFkpdSXGVP70BOfeDNyilPoVxndbsMd/B1ynlHp6Gu0ebdRiDH+N\nsWy+qLV+wq4g+cKIc+7GVOJ8BDNmB+zxTRjX22MIAEuVUvdhXA3vw/zg71FKuUAPxp3UA6SUUl/A\nTBiuV0p9HNjF0MRqqvwVcKtSysfcUN7F+GP+UeBbSqm/w/jhByYLD2FiJldOs+2jmbkaxx9g7pWv\nx8RabgReN+Kcfwa+Y2Oa2yqOPwJ8Xim1jWkyaynoran2XutimnOUUi8BmrTWP1NKnQLcq7U+qRZ9\nma/UegyF0djA7Vqt9cdq3ZexUEq9DXhEa/28XdL6Eq31FbXuV71R7+M4G1S7Bvy42JnqrWP86Zda\n62uO4JJbge8ppa7B+BanG3QUpkkVxlCoMnZ/z0fG+NNXtNYjXSFTYSdwu1Iqh1mV9K6Z9E+YGlUY\nxxkjxbEEQRCEGXMsbFoUBEEQqoyIiSAIgjBjREwEQRCEGSNiIgiCIMwYERNBEARhxvw/8MPg6RCV\nJPcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xea589b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Another multivariate visualization technique pandas has is parallel_coordinates\n",
"# Parallel coordinates plots each feature on a separate column & then draws lines\n",
"# connecting the features for each data sample\n",
"from pandas.tools.plotting import parallel_coordinates\n",
"parallel_coordinates(df, 'species')"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xfd679e8>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WO2PsySyI64NNqyIx4UHcrr+2qOPN8ivZU7W47jjfSSfUuuJ30JqdO3ewefNH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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe9d7ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# A final multivariate visualization technique pandas has is radviz\n",
"# Which puts each feature as a point on a 2D plane, and then simulates\n",
"# having each sample attached to those points through a spring weighted\n",
"# by the relative value for that feature\n",
"from pandas.tools.plotting import radviz\n",
"radviz(df, 'species')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Correlations among feautres"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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iwdgdPqx87vIvwoRH+DN5Wh969AijiirSU7P5z5avyMsr8VY16jV37lxsNhtr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\nnfmVUtx555106tSJgoIC9u7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"text/plain": [
"<matplotlib.figure.Figure at 0xfe18a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7,4)) \n",
"#draws heatmap with input as the correlation matrix calculted by(df.corr())\n",
"sns.heatmap(df.corr(),cbar = True, square = True, annot=True, fmt='.2f',annot_kws={'size': 15},cmap='Dark2') \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From above figure it's clear that Sepal Length and Sepal Width show weak correlations whereas Petal Width and Petal Length show strong correlations. It suggests that the Species can be identified better using Petal compared to Sepal. We can verify it using Machine Learning! "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Machine Learning in Iris Data\n",
"#### Now we'll split the data into training and test datasets for building Machine Learning classifier!\n",
"\n",
"#### Steps on creating a model \n",
"1. Get Data\n",
"2. Prepare Data\n",
"3. Define features \n",
"4. Choose and appply a machine learning algorithm\n",
"5. Predict on test data\n",
"6. Score the model\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Step 3. We've already completed steps 1 and 2. Now, it's time to define and scale Features"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are 105 samples in the training set and 45 samples in the test set\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\rabiulawal\\Anaconda3\\lib\\site-packages\\sklearn\\cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
" \"This module will be removed in 0.20.\", DeprecationWarning)\n"
]
}
],
"source": [
"#training and test data spliting\n",
"X = df.iloc[:, 0:4]\n",
"y = df.iloc[:, -1]\n",
"\n",
"#buliding model and importing algorithm\n",
"from sklearn.cross_validation import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3)\n",
"\n",
"#Check shape of train and test dataset\n",
"print('There are {} samples in the training set and {} samples in the test set'.format(X_train.shape[0],X_test.shape[0]))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sepal_length</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>94</th>\n",
" <td>5.6</td>\n",
" <td>2.7</td>\n",
" <td>4.2</td>\n",
" <td>1.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>5.1</td>\n",
" <td>3.8</td>\n",
" <td>1.5</td>\n",
" <td>0.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>76</th>\n",
" <td>6.8</td>\n",
" <td>2.8</td>\n",
" <td>4.8</td>\n",
" <td>1.4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>31</th>\n",
" <td>5.4</td>\n",
" <td>3.4</td>\n",
" <td>1.5</td>\n",
" <td>0.4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50</th>\n",
" <td>7.0</td>\n",
" <td>3.2</td>\n",
" <td>4.7</td>\n",
" <td>1.4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"94 5.6 2.7 4.2 1.3\n",
"19 5.1 3.8 1.5 0.3\n",
"76 6.8 2.8 4.8 1.4\n",
"31 5.4 3.4 1.5 0.4\n",
"50 7.0 3.2 4.7 1.4"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_train.head()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"94 Iris-versicolor\n",
"19 Iris-setosa\n",
"76 Iris-versicolor\n",
"31 Iris-setosa\n",
"50 Iris-versicolor\n",
"Name: species, dtype: object"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_train.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Standardizing and Scaling the features"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Standardized features\n",
"\n",
"[[-0.27688458 -0.7769911 0.3431505 0.25710424]\n",
" [-0.88256959 1.52409793 -1.18645906 -1.09269303]\n",
" [ 1.17675946 -0.56780119 0.68306374 0.39208397]\n",
" [-0.51915858 0.68733828 -1.18645906 -0.9577133 ]]\n"
]
}
],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"scaler = StandardScaler()\n",
"\n",
"scaler.fit(X_train)\n",
"X_train = scaler.transform(X_train)\n",
"X_test = scaler.transform(X_test)\n",
"print('Standardized features\\n')\n",
"print(str(X_train[:4]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Step 4+5+6. Choosing and applying Algorithms, Predicting and Scoring\n",
"In this part we will apply Decision Tree, KNN, SVM and logistic regression algorithms."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Decision Tree classifier"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the Decision Tree is 0.911111111111\n"
]
}
],
"source": [
"from sklearn.tree import DecisionTreeClassifier\n",
"\n",
"#Instantiate the model\n",
"model = DecisionTreeClassifier()\n",
"\n",
"#Fitting the model\n",
"model.fit(X_train, y_train)\n",
"\n",
"#Predict on test data\n",
"y_pred = model.predict(X_test)\n",
"\n",
"#Evaluate accuracy\n",
"print('The accuracy of the Decision Tree is', accuracy_score(y_pred, y_test))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Logistic Regression"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the Logistic Regression is 0.955555555556\n"
]
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"model = LogisticRegression()\n",
"model.fit(X_train, y_train)\n",
"y_pred = model.predict(X_test)\n",
"print('The accuracy of the Logistic Regression is', accuracy_score(y_pred, y_test))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### KNN classifier"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the KNN is 0.888888888889\n"
]
}
],
"source": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"\n",
"knn = KNeighborsClassifier(n_neighbors=8)\n",
"knn.fit(X_train, y_train)\n",
"y_pred = knn.predict(X_test)\n",
"from sklearn.metrics import accuracy_score\n",
"print ('The accuracy of the KNN is', accuracy_score(y_pred, y_test))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It looks like our classifier performs pretty well. 97% accuracy! Let's visualize for differenr k values."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Check the accuracy for various values of n for K-Nearest nerighbours"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the KNN 1 is 0.9555555555555556\n",
"The accuracy of the KNN 2 is 0.9111111111111111\n",
"The accuracy of the KNN 3 is 0.9333333333333333\n",
"The accuracy of the KNN 4 is 0.9111111111111111\n",
"The accuracy of the KNN 5 is 0.9333333333333333\n",
"The accuracy of the KNN 6 is 0.8888888888888888\n",
"The accuracy of the KNN 7 is 0.9555555555555556\n",
"The accuracy of the KNN 8 is 0.8888888888888888\n",
"The accuracy of the KNN 9 is 0.9555555555555556\n",
"The accuracy of the KNN 10 is 0.9555555555555556\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x101c6ba8>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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NgfLzrufC62ttqOK1sxO8dHSY7taago/TDMXyGuqz47gAf7lr3dew2BTq+tYr/MxcvnwS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\nFlLAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x101b59b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"result = []\n",
"x = np.arange(1,11)\n",
"for i in list(range(1,11)):\n",
" model = KNeighborsClassifier(n_neighbors=i)\n",
" model.fit(X_train, y_train)\n",
" y_pred = model.predict(X_test)\n",
" print('The accuracy of the KNN {} is {}'.format( i, accuracy_score(y_pred, y_test)))\n",
" result.append(accuracy_score(y_pred, y_test))\n",
"plt.figure(figsize = (10,6))\n",
"plt.plot(x, result)\n",
"plt.xticks(x)\n",
"plt.title('Plotting accuracy of K = 1 to 10')\n",
"plt.xlabel('K')\n",
"plt.ylabel('Accuray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Support Vector Machines "
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the Support Vector Machine is 0.955555555556\n"
]
}
],
"source": [
"from sklearn.svm import LinearSVC\n",
"\n",
"model = LinearSVC(C=10)\n",
"model.fit(X_train,y_train)\n",
"y_pred = model.predict(X_test)\n",
"print('The accuracy of the Support Vector Machine is', accuracy_score(y_pred, y_test))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Random Forests (n Decision trees) "
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The accuracy of the Random Forest is 0.888888888889\n"
]
}
],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"model = RandomForestClassifier(max_depth=2)\n",
"model.fit(X_train,y_train)\n",
"y_pred = model.predict(X_test)\n",
"print('The accuracy of the Random Forest is', accuracy_score(y_pred, y_test))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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