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@deepanshululla
Created December 16, 2018 00:12
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "Wp4pmbFEXVdw"
},
"source": [
"# Plotting for Exploratory data analysis (EDA)"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "hCoxQLaaXVdz"
},
"source": [
"## Iris Flower dataset"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "wNIEw0lIXVd0"
},
"source": [
"Toy Dataset: Iris Dataset: [https://en.wikipedia.org/wiki/Iris_flower_data_set]\n",
"* A simple dataset to learn the basics.\n",
"* 3 flowers of Iris species. [see images on wikipedia link above]\n",
"* 1936 by Ronald Fisher.\n",
"* Petal and Sepal: http://terpconnect.umd.edu/~petersd/666/html/iris_with_labels.jpg\n",
"* Objective: Classify a new flower as belonging to one of the 3 classes given the 4 features.\n",
"* Importance of domain knowledge.\n",
"* Why use petal and sepal dimensions as features?\n",
"* Why do we not use 'color' as a feature?\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "OZpVNbYZXVd1"
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"'''downlaod iris.csv from https://raw.githubusercontent.com/uiuc-cse/data-fa14/gh-pages/data/iris.csv'''\n",
"#Load Iris.csv into a pandas dataFrame.\n",
"iris = pd.read_csv(\"https://raw.githubusercontent.com/uiuc-cse/data-fa14/gh-pages/data/iris.csv\")\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "r_p-GVJ5XVd4",
"outputId": "75d2211e-a39c-4517-b585-2e194ea58924"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(150, 5)\n"
]
}
],
"source": [
"# (Q) how many data-points and features?\n",
"print (iris.shape)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "UUp29Sv5XVd9",
"outputId": "d22289f5-0e54-4915-ff38-6a060fee4714"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['sepal_length', 'sepal_width', 'petal_length', 'petal_width',\n",
" 'species'],\n",
" dtype='object')\n"
]
}
],
"source": [
"#(Q) What are the column names in our dataset?\n",
"print (iris.columns)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "hP_dkSGAXVeA",
"outputId": "0aef5698-b69b-4ad5-e824-6516b7e528dc"
},
"outputs": [
{
"data": {
"text/plain": [
"setosa 50\n",
"versicolor 50\n",
"virginica 50\n",
"Name: species, dtype: int64"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#(Q) How many data points for each class are present? \n",
"#(or) How many flowers for each species are present?\n",
"\n",
"iris[\"species\"].value_counts()\n",
"# balanced-dataset vs imbalanced datasets\n",
"#Iris is a balanced dataset as the number of data points for every class is 50."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "gAdPvzUuXVeD"
},
"source": [
"# (3.2) 2-D Scatter Plot"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "4owrxLeMXVeD",
"outputId": "796edafe-cb66-4b61-e069-497e9e2797cc"
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#2-D scatter plot:\n",
"#ALWAYS understand the axis: labels and scale.\n",
"\n",
"iris.plot(kind='scatter', x='sepal_length', y='sepal_width') ;\n",
"plt.show()\n",
"\n",
"#cannot make much sense out it. \n",
"#What if we color the points by thier class-label/flower-type."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "I-QMUHgIXVeH",
"outputId": "07306719-35f9-4fa3-b7d2-ba5dba42c2a9"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:230: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
" warnings.warn(msg, UserWarning)\n"
]
},
{
"data": {
"image/png": 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++fn5mD17Nuzs7KBUKhEWFoa0tDQoFAqUlJQgIiICEydORE5ODhYuXAgA8PT0xMcffwxXV1csXLgQ58+fh1qtxjvvvAN3d3ekpKTgs88+w/79+7Fx40YoFAoEBwfjvffew5kzZ7B48WLY2dmhRYsW+OSTT+Dm5mbSOTcahMvKygDoNmYnzceXg8x3rS3y0eqWILjajaVgFJwBV8HQYePm5uTJk+jWrRvi4+ORmZmJ3NxcFBcXY8+ePdBqtRg9ejRGjBiBDz74AB9//DE6duyI1NRU/Oc//0H37t1RWlqKnTt3oqSkBJs3b8bzzz8PQBfLkpKSsGvXLjg7OyMuLg4nTpzATz/9hL/+9a+YPHkyjh49inv37plXEA4NDQUA3Lx5E8OHD0e/fv30m7MTw8W91KXBvhT2SqbOmjBg2xuvxwaG6taEH1uScNKyiA0MNbrv8M7hddaEH28n5mXcuHFYv3493nzzTbi7u+OFF15Ar1694ODgAADo1KkTrl69itzcXMyfPx+ALoW2Q4cOyM/PxzPPPAMAaNWqFWbMmIGMjAwAwNWrV3Hnzh384x//AACUl5fj2rVrmDp1KtasWYPXXnsNbdq0Qc+ePU0+Z4MezL3yyis4evQoVq1ahSeffBLDhw/H0KFDpR6b1eDLQeZqs8WHcsCjh29SZEfUPnyj7Ajzd+TIEQQHByMmJgb79u3DsmXL4OnpCY1Gg+rqaly6dAlPPvkkOnTogMWLF6Nt27Y4c+YMSkpKYGdnh++//x4AcP/+fUyfPl0fdP39/eHr64sNGzbA3t4eu3fvxlNPPYW9e/ciNDQUs2bNwtq1a7Fjxw6TryEbfMbc7du3cfLkSWzZsgUFBQU4fvy41GPTs6acRWuaCxdrnx9Ac5TS1atXERcXB6VSCYVCgaFDhyItLQ3e3t4oKytDVFQUQkND8fvvv2Px4sXQaHR/Xf773/9G+/btsXDhQly8eBEajQbTpk2Dk5OTfk34m2++wbZt26DRaODn54fExET8+eefmD9/PlxcXGBvb4+PPvoI7dqZtuLUoCD8yiuvQKFQYPTo0ejfvz86d+5sirHpWdOH3prmwsXa5wfQHE0pIyNDH0StlUHLEVOmTMFPP/2EH374AcXFxejfvz8GDBgg9dhEIWSDdL5rxdg4natYw2KXHh5u4A4DN3A3Fl8RB9fG8ELLnAVtLi9g43oxxkZsg8HLEdXV1cjIyMC6detw+fJl/Pjjj1KPTa+5/68sZKN2vmt7B3jgRO6dBn0L2ThdyDjMXhMbuIt9B6Uv4qj3wO6VVs/im7KsOhvDC90EXtDm8v4jEHJivUEb13P1a64b1PMxlzthW2BQjs7UqVMxbtw4/Pzzz5gxY4ZJA7AxuIok+Aoi+K7lCsCAbtMcKcZh9o58VDcQAbqvj3wkydvxFXGk3sqsE+QAoFJTiRW/rjC8719XNOhDrVXXCcD6fvPSDJ43V79Cx0Zsh0HLEdOnT0fXrl0btK9atcqsq1GEbNQutEhCyMbpQsZh9gRu4G4svmINvvRhqTaM5y0a4Zg3X7+0QT3hYtCdMFcABoBffvlF1MGIja/wgatdaJGEkI3ThYzD7PFs1M7bbiS+Yg2+D66QTeAFXcsX9TnmzdcvbVBPuBhVMmTgcrJshGzUznftC0FenH0L2ThdyDjMnsAN3I0VGxgKp3p7bDhpWYR7P9tgY3ihm8AL2lw+MNTgeXP1SxvUEz7KhISEhOb+4z179uir6qR069YttGrVSvC/6+rbAv4tnXHhxl2oKmvg5+mMeaOf5nwYxnftv0Kexi1VFbJu3AML3R3wRIGnGQsZh9lr0w3wDAAKzgFV93WHeY5YpH841dyfFZ/O7YfA724hsu5ko5wBfLVAfGAo3hy+En5ufsi6nYVydTl8XX0R/5d4QQ++Orfs3KCP2X1mY0jAkIb99vp/+nmzVffB1Jt3U/0KHZvcxPw57jl7A5M3ZWLhvotIzbyOJ1wd0NW3hSh9NyUnJwf5+fnw8zPf3zWDsyO4TJo0CV9//bWY4+FkTU9qrWkuXKx9fgDNUQi5M4OSkpLg7e2NyMhIyd+ruQx6MMfH3JcjCCHyaiwzyJggXH+3tSVLlmDz5s04ffo0WJZFdHQ0evfujbS0NNjb26Nbt264f/8+li9fDkdHR/3OazU1NZg+fTpYloVarcb8+fPRpUsXfPrpp/j9999RXl6OoKAgJCYmGvut4NVoEP7pp594X+vfvz+WLFki+oDkJEZhx8T1P9dJa3shyAtbpvQz1RSskihFGTsjseLuORQplfDRaBDr8QxCxm3jvHbhvmik3sqEFrqHJuHez2LuqI1Gz8MWSZUZVH+3tYMHD+L69etISUlBVVUVxo8fj+TkZISGhsLb2xs9evTA0KFDsW3bNrRp0wabNm3CF198gT59+sDd3R2ffvopLl26BJVKBZVKhRYtWuCrr76CVqtFSEgIiouL0aZNG6PGzKfRIJyens77Wv/+/fVHHlkDrtMv+E664Lv282P/w/9ulte59kTuHUxc/zMF4maqX/hQWF6IhJMJAGB4UcbOSCTcP49KO93HvdDODgn3zwM7IxsE4oX7orH9VibwMPtFC+i+3hdNgbgZ+LZxNTYzqP5ua127dkVWVhaioqIAADU1NSgoKNBfX1paCjc3N30gfe6557Bs2TLExcXh8uXLePvtt2FnZ4e33noLjo6OuHPnDmbOnAkXFxc8ePAAarXaqPE2ptEgzHcLfvPmTUkGIychfzbxXVs/ANfiK/ggTWus8MHQILzi7jl9ANb3oVBgxd1zqN9D6mMBWI/RFYfQnmvCcW3jKkZmENduay+88AIWLFgArVaL1atXw9/fHwzDQKvVomXLllCpVLh58yZat26NX375Be3bt0dGRgZat26NDRs24OzZs1i2bBmio6NRWFiI5cuX486dOzh06JCkS68GrQmvXLkSW7duhVqtRmVlJdq3b9/oXbIlkrKwgzSfGIUPRTx7YHO186UD0xkczcO3jauxD+W6d++OuLg4JCUlQaFQYOXKldi7dy8mTJiABw8eYNiwYXBzc0P37t2xZMkSBAUFYeHChXjnnXfAMAw8PDyQmJgIhmEwY8YMbNq0CQqFAtOmTUOXLl2wevVqjB8/Hg4ODmjXrh1u3rwp2e5qBgXh48eP4/jx4/j444/x+uuv6zdTtiZC/mwSclIGMY6Pqw8Kyxue7i2o0EKjQaFdw4+6j0bToE0B7oBLZ3A035hefqJnQgQEBGD79rob9Xfv3r3BdS+++CJefPFF/de1J208buPGjQ3adu3aZfQYDWXQZ8vT0xMODg4oLy/Hk08+iYoK6wtAYhR2dGrtytk3X8EHaZoYhQ+xHs/ASVs3tDpptYj1eKbBteHezwL1//RkdcUhhEjBoCDs4+ODnTt3wtnZGZ988glUKpXU4zK5Mb38kDi2B/w8ncEA8PN05s1l5Lv20MwXGwRcyo4wTkhgCBKeT4Cvqy8YMPB19RW8G1nIuG1IcO8J35oaMCwL35oaJLj35MyOmDtqIyK8n4WCZQGWhYJlEUHZEURCBhVraLVaFBUVoUWLFkhLS0O/fv3QsWNHU4wPgHUlx1vTXLhY+/wAmiMRl0FrwqWlpdiwYQMuX76MTp06iVqWSgghtszgrSxHjhyJcePG4cyZM3j//fexdu1a3us1Gg3mzp2L/Px8KJVKJCYmIiAgQP/60aNH8fnnn8POzg5hYWEYP974Uxn4iieEFGAIwXfahmHjEPFkDaGnXOybCZzZCLAagFECwdFAQF9BfXCddIGAvo8KKrIeFVTwnYohhikHpuBU0Sn91319+mK9718552I2p3OIgG/MdJqHZTJoOSIqKgrJycm8X9d3+PBhHDlyBImJicjIyMDGjRvxxRdfANAdT/3yyy/r15gjIyOxZs2aRu+um/rTiK8+PSzYD7vO3BC9bn3ungvYfOpqg/YXgrzw69W7JhtHU6dcNLBvJpD5ZcN2hRLQPpYp0EgfXCdd2LMsWEaJmsfyCpyUTnjFsxu+KclscCpGQgfjA3H9AFyrb0UV1hcV15lLepfBSLh/QbTTOR7/PHKdomHH2IFhGKi1jxL8xTpZg+/Ujlc6voJvLn0j2mketBxhOgY9mAsMDMS3336L4uJiHD16FJ6ensjPz0d+fj7n9cOGDcOCBbpfsoKCAnh7e+tfy83NRUBAADw8PODg4IDg4GBkZmYaNQm+4oltGdckOdGC71SNE7l3TDoOwadcnNnI3a6tl6rVSB9cJ12oGaZOAAZ0BRWptzI5T8VYkZfGPQ4BuAIwAJxycqjboK7QFWuY8HSOGramTgBuTr9C3q9SU4nUP1PN9zSP8zuAz7oDCZ66/z6/Q+4RAdCl3tZPc2tKUlIStm3jLndvLoOWI/Ly8pCXl4fU1FR927x588AwDO8uanZ2dpg1axYOHTqElStX6ttVKhXc3d31X7u6ujaZbVFVVYXs7Gze1/mKJ/hOvygoq2i0v6YIOVVDynF0vXsdXFvLs3ev4w+OfruyGs7rufD1wXvCBAfe0y8UMGreQvEVazR2Okdj46usrNS/LvQkD2Pnzfd+WpZ7Ns19z8fn+DjBd8f1/1q7e033NSDp4bCGGDhwoKzvX8ugIJycnIz79+/jxo0baNeuHVxdufNh61u8eDHee+89jB8/Hunp6XBxcYGbmxvKyx+V95aXl9cJylwcHR0b/eG39SzkLJ5QMgxnAGzr6WzUn1pKJl9QIJZqHPDw132o62E8/Ln7ZZS6tWAD8PXh8zNQyB3TGuArfPDRNuOXuT4Bh7rwFWvwjs/Vp9HxPf6nuk8WdzEJ5zia6NegPnjeT8EoOANxc99TtOWIxv5aa2YQjomJwaRJk/CXv/wF58+fx6pVq+Dt7Y0rV65Aq9Vi+vTp6NOnD0aNGoX27dvDwcEBEydOxOLFi2FnZ4cWLVrgk08+wcGDB5GXl4f33nsPq1evxuHDh6HRaBAZGYlXX30VGzZsQHp6Ouzs7PDss88iLi6uzjgWLVqEM2fOAABGjRqF1157DfHx8SgrK0NZWRnWrl0LDw+PJudj0H3NgQMHEBUVhbi4OGzcuBGrV69u9Po9e/boH9w5OzuDYRgoH96NBAUF4cqVKygrK0N1dTUyMzPRq1cvQ4bBi694IrJPO0lOtOA7VeOFIC+TjkPwKRfB0dztinpRtZE+uE66sGdZ2NX7KDkpnXSnX3CcihEbaPxBAH19+nK3V1bXbbB3flisYbrTOewYO9gr7I3qV8j7OSmdEN453DxP85DgTMLw8HCkpemWtNLS0jBgwAC0bNkSW7ZswerVq/HRR7qltAcPHuDtt9/GsmXLcPjwYfz1r3/F5s2bMW7cONy7d0/f38WLF3H8+HGkpqYiJSUFly5dQk5ODvbv34+UlBSkpKTgypUrOHbsmP7fHDt2DNevX8eOHTuwdetW7Nu3Dzk5uuXFvn37IiUlxaAADBh4ssbcuXOxdetWHDx4EB9//DEWLVqEiIgI3usDAgKQkpKCzZs3Y8+ePZg+fTpycnJw7tw59OzZE35+fpg7dy527tyJsLAw9OvXeDFDU7v8851c8fbgjpKcaDGkaxvO0zY+nxhs0nE0dcpFA51fAlQlQOF5AKzuzvjZN4A+Uw3ug+uki9kdQjGk52sNTpJ4s8/7nKdiiJEd8beOf8PZ4rO4rnr0y9zXpy/WPz2lwVw6D/5Q1NM5Hv88cp2iMafPHO7TOUTIVOA7tePNHm+KepqHaCdrnN0MVN1r2O7RDuj3drO6DAgIwIoVK/Dyyy/j888/h6OjI06dOoX9+/dj//79uH//PkaNGoUdO3Zg2rRpsLe3R48ePfDjjz9i3bp1KCoqwoABA3D16lWUlpbC7uFfSYMGDYK9vT0GDhyI06dPQ6vVYvDgwWAYBjdv3kRJSQk0Gg1cXFxQXFwMf39/9OrVC0qlEn/++SecnJxw5coVPPfcc2jfvr3hE2INEBkZybIsy0ZFRbEsy7ITJkww5J+J5uLFiyZ9PylZ01y4WPv8WJbmKMhv21l2YRuW/bDFo/8sbKNrN0JSUhIbGxvLLl++nN20aRP7xRdfsCzLshUVFeyyZctYjUbDDh48mK2srGRZlmXR1DIKAAAW70lEQVSTk5PZnJwclmVZds2aNWxSUhK7a9cudunSpezFixfZiRMnshqNhq2urmajo6PZ7OxsNjw8nFWr1axWq2Xffvtt9uDBg+zKlSvZrVu3skePHmVjYmJYlmXZ6upqduzYsezvv//Ozpo1i/3hhx8EzcWgNeFnn30W//znP1FcXIx58+ahRw/Dz1eTm1R5whaLK68YEJZr3Ei/Xev3wZfHzNGe7ubKnecqJBdaaN60idlcLm/t917kn0lYWBiGDRuGAwcOoHXr1pg7dy7+/ve/Q6VSYcKECVAo6i6P9ejRA/Hx8XBxcYG9vT0++ugjnD59GoDu+cSAAQMQGRkJrVaLyMhIdO3aFSNHjtS3BQcHY9iwYfjjjz8AAIMHD8Yvv/yCiIgIqNVqjBgxAt26dWvWXAzKEy4uLsahQ4dw9+5d7N69G0lJSXj66aeb9YbN0dyHBHKfb8VF1vxLrrxihb1u/1zNY2upjeUaG9qvvTPwfxOA37Ya1J7ewhMJ3k+gkq2XW+s/AiEn1huWCy00b7qZmvsz5MvxFSN/WGyUJ2w6Bj2Yi4+PR8eOHZGTk4OZM2dKet6SmBrbqN0mcT2p1qrrBmCg8VxjQ/tVV+jykg1sX9HCpU4ABh7muealGZ4LLTRv2sQa26Ce2C6DgnBNTQ2ee+453L9/HyEhIdBq+TIszYtU51tZLCFPpMW4li8djqO9yI5n43W+TyjXe0rwJF5MYmxQT6yPQUFYrVYjMTERwcHBOHXqFDQcm2GbI75zrIw938piefib9lqGJ6GYo92nhvsz5cP3//dc78k3DiFzkRDfRvRCNqgn1segILxo0SJ06NAB//jHP3Dnzh0sXbpU6nGJQshG7TaBK69YYQ8o65X6NpZrbGi/9s66vGQD22PvPYATw5FbGxhqeC600LxpExNjg3pifQzKE/b09ETPnj2hVCrRqVMng5OQxdLcnEW+/GE5syNEy79sDq684peXAF1DDM81bqJftuo+mNo+BszkzmPmaO887N/w6/hSwzzXXv/P8FxooXnTzdTcnyFfjq+5PZQDZP6c2hiDsiPkZk1Paq1pLlysfX4AzZGIi84vJIRIKj0vHcN3DkfPTT0xfOdwpOeJe1K7kN3QSkpK0Ngf/9nZ2Vi1apVIIzOMQcUaxHpwFgtcPNJwo/dRy8QpLODaRJ6nb4B7I/SFpxYi9c9UaFktFIwC4Z3DMbfvXHEKM8ykuEOqzeXlXuqonxtdWF6IhJMJACDa2ITshtaqVatGg/BTTz1l8r8AaDnCxOScC2exABRIuHkTIeUP6l7b/WUkVF4yasNzvk3kufrm2wj9mVbPcO4dHPFEMOb+9r1xhRnNLO4Q+2coRhGH2IUgYs1x+M7hnLu++br64uC4g83qs/4uaq+//rp+57O33noLnp6eGDhwIPr06YP58+fD1dUVTzzxBBwdHRETE4OZM2dix44dGD16NP7yl78gJycHDMNg9erVuHjxIlJSUvDZZ58hNTUV27Ztg1arxdChQ/HOO+9g8+bNOHjwIGpqauDu7o6kpCQ4ODg0PehG0HKEDeEsFoAWK1p6Nrz27jnjCwt4NpHn6ptvI3S+zdtTb2UaX5hhJsUdYhRxmGshiBS50fV3UZsxY4b+tZKSEnz55ZeYMmUKPvzwQyxatAhff/11nePVapWXlyMkJASbN29G69atcfz4cf1rt2/fxvr167F161bs3r0b9+/fh0qlQllZGTZu3IitW7eipqYGFy5caPY8alEQtiG8vxAchRJ8G6EL+uXhKdbg61sI3nIhMYpMTFzcIUagMtdCEClyowcMGIALFy6grKwMmZmZcHR01L/m7++vvzO9efMmOnXqBAAIDg7m7Kt2+wVfX19UVVXp269du4ZOnTrByckJCoUCc+bMgZubG+zt7TFz5kzMmTMHRUVFqKmpafY8alEQtiG8vxAchRI+PAU5gn55eIo1+PoWgveDK0aRiYmLO8QIVOZaCCJFbrRCocCIESOQkJCAYcOG6fcqr32tlo+PDy5dugQA+O233zj7Yhjus2YCAgKQl5eH6mpdSf+7776LX375BYcPH8by5cvxwQcfQKvVQozVXArCNoTzFwIKxJaWNbzW4xnjf3l4NpHn6ptvI3S+zdvDvZ81vjDDTIo7xAhU5loIEhIYgoTnE+Dr6gsGDHxdfUXZsCgsLAyHDh1CWFgY7zUffvgh5syZg+joaJw/f16/b7AhvLy8MGXKFPz9739HREQEnn76afTo0QPOzs4YO3YsXn/9dbRq1Qo3b940ah4APZgzObnnInV2RIP5WWF2hBQ/Q3PLjpD7cyqGLVu2YOTIkfDy8sJnn30Ge3t7xMTEyD2sBigIm5g1zYWLtc8PoDlaiu+//x5r1qyBi4sL3N3dsWjRIrRs2VLuYTVAecKEEKs0YsQIjBgxQu5hNImCsDmSsoBAQN8Lt41EatU1aKF7eBDu2A5zI/c32m+DkzUE4Ptz2hyLEAgRCwVhc1O/gODuNd3XgPGBWEDfC7eNxPaqa7pTN6BLCdtedQ3YNrJhIH6sX6aZY+arrDp78yy+ufSNpBVXhMiJsiPMjZQFBAL6Tn0sAOsxjK7diH758BUbpP6ZapZFCISIhYKwuZGygEBA33zFEJztIoyZr6hAy3KPRO4iBELEQkHY3EhZQCCgb74PBme7CGPmKypQMNwjkbsIgRCxUBA2N1IWEAjoO9yxHVA/e5Flde1G9MuHr9ggvHO4WRYhECIWg07WkJs17fLf5FykPB1CQN8De/wdd7L3IrvmLljo/t96PF92BN/JGgLGzHfqxJs93jS70yis6fPIxxbmaC6oWMPErGkuXKx9fgDNkYiLliOs1fkdwGfdgQRP3X+f3yH8WiF98JD6VAXyCH2vLRPlCVsjIbnGfNdePQX8ttWofGVTnKpAdOh7bbnoTtgaCcnb5bv2zEbJcn8px1d89L22XBSErZGQvF2+a3k2ZBcj95dyfMVH32vLRUHYGgnJ2+W7lmdDdjFyfynHV3z0vbZcFIStkZC8Xb5rg6Mly/2lHF/x0ffactGDOWtU++DMkN3SGrs2oK9Ru7nVPhCiHdCkR99ry0V5wiZmTXPhYu3zA2iORFy0HEEIITISfTlCrVZjzpw5uHHjBqqrq/HWW29h6NCh+te/+uor7Ny5E15eXgCA+fPnIzAwUOxhyEbQBuRybN7O0Z7u5moWf8am//cDrMhLQ5EC8NECsYGhCHlxgTh908bwxEyJHoS//fZbeHp6YunSpSgtLUVoaGidIJyVlYXFixeje/fuYr+17AQlzMuxeTtHAUb64TgkeD+BSlbd9JgllP7fD5CQn4ZKpW4P40IlkJCfphuHkYGYChmIORN9OWLEiBGIjX30RFaprJvqlJWVhXXr1iEyMhJr164V++1lJShhXo7N2zkKMFa0cNEH4CbHLKEVeWmoVNTdRL5SwWBFXprxfVMhAzFjot8Ju7q6AgBUKhXeffddTJ8+vc7rISEhmDBhAtzc3BATE4Njx45h8ODBjfZZVVWF7OxssYcqusYS5mvHX1lZiezsbHS9ex0Mx7Xs3ev4w8i58vbNahq0F9lx5wM/PmYhaucnVBHP7UCRAkb/7A35uQjR3DlaEr450sM68UmSolZYWIhp06ZhwoQJGD16tL6dZVm89tprcHd3BwAMGjQIFy9ebDIIOzo6WsQP3yfLB4XlhQ3bXX3049c/dfbw1y0T1MN4+Bs/V76+GWWDSjifGg0K7Rt+DB4fsxDNfaru87NuCaJBu9b4X3xDfi5C2ELmgC3M0VyIvhxx69YtvPHGG4iLi8O4cePqvKZSqTBq1CiUl5eDZVlkZGRY1dqwoIR5OTZv5yjAiL33AE6MvWFjllBsYCictHWzJZ20LGIDQ43vmwoZiBkTfVP3ZcuWISsrC5cuXUJaWhrS0tJgZ2eHc+fOoXfv3mjZsiXmz5+PPXv24P/+7/8QERHRZJ+WssE038bkjz/80c9Fjs3bB8xs0N552L/h1/El0TZNb+7PqnP7IfC7W4isO9koZwBfLRAvUnaEIT8XISzl82gMW5ijuaBiDROzprlwsfb5ATRHIi4q1iCEEBnR3hFik7IAQ4h9M3UpaaxGtyNacDQwapnpx0EIaRQFYTFJWYAhxL6ZQOaXj75mNY++pkBMiFmh5QgxSVmAIcSZjcLaCSGyoSAsJiEnWkiJ71QMvnZCiGwoCItJyIkWUuI7FYOvnRAiGwrCYpKyAEOI4Ghh7YQQ2VAQFlPP8cDolbriCDC6/x690vTZEaOWAc9OfnTnyyh1X9NDOULMDmVHiK3neHlS0uobtYyCLiEWgO6ECSFERjZ5J7zn7A0sPZCDgrIKtPV0RtxLXTCml5+0b/qwiKOrqYo4zKVoRAhLHDMhRrK5ILzn7A3M3n0BFWpdutaNsgrM3n0BAKQLxI8VcTCA9EUc5lI0IoQljpkQEdjccsTSAzn6AFyrQq3B0gM50r2pqYs4zKVoRAhLHDMhIrC5IFxQViGoXRSmLuIwl6IRISxxzISIwOaCcFtPZ0HtojB1EYe5FI0IYYljJkQENheE417qAmf7upVjzvZKxL3URbo3NXURh7kUjQhhiWMmRAQ292Cu9uGbSbMjah8sHfkI7N3rYKR+8v/Y+1lMpoEljpkQEdDJGiZmTXPhYu3zA2iORFw2dydMpJH+3w+wIi8NRQrdycmxTZ0PRznBhACgIExEkP7fD5CQn4ZKJQNAd3R9Qn4aAHAHYsoJJkTP5h7MEfGtyEtDpYKp01apYLAiL437H1BOMCF6FISJ0Yp4PkV87ZQTTMgjFISJ0Xy0wtopJ5iQRygIE6PFBobCSVs3ycZJyyI2MJT7H1BOMCF69GCOGK324Zs+O0LbRHYE5QQTokdBmIgi5MUFCHlxgeH5peay+T0hMqPlCEIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkREFYUIIkZHoZctqtRpz5szBjRs3UF1djbfeegtDhw7Vv3706FF8/vnnsLOzQ1hYGMaPt5HS1YcnSXSlvRIIIY8RPQh/++238PT0xNKlS1FaWorQ0FB9EFar1UhMTMTOnTvh7OyMyMhIDB48GK1atRJ7GOblsZMkGIBOkiCE6Im+HDFixAjExsbqv1YqHx0vn5ubi4CAAHh4eMDBwQHBwcHIzMwUewjmh06SIITwEP1O2NXVFQCgUqnw7rvvYvr06frXVCoV3N3d61yrUqma7LOqqgrZ2dliD9Vkut69Doajnb17HX9Y8Ly4VFZWWvTPyhC2PEc6gVl8kmxlWVhYiGnTpmHChAkYPXq0vt3NzQ3l5eX6r8vLy+sEZT6Ojo6W/cP38NctQdTDePhb9rw42MJR6TRHIibRlyNu3bqFN954A3FxcRg3blyd14KCgnDlyhWUlZWhuroamZmZ6NWrl9hDMD90kgQhhIfod8Jr1qzBvXv3sHr1aqxevRoAEB4ejoqKCkRERCA+Ph6TJ08Gy7IICwtDmzZtxB6C+XnsJAn27nUwlB1BCHmIYVmWbfoyeVnTn0bWNBcu1j4/gOZIxEXFGoQQIiMKwoQQIiMKwoQQIiMKwoQQIiMKwoQQIiMKwoQQIiMKwoQQIiMKwoQQIiOLKNY4d+4cHB0d5R4GITbPzs4OnTp1knsYVsUigjAhhFgrWo4ghBAZURAmhBAZURAmhBAZURAmhBAZURAmhBAZURAmhBAZSXLGHGlozJgx+vP0/P39kZiYKPOIxLd27VocPXoUarUakZGRCA8Pl3tIotq9ezfS0tIAPDp89sSJE2jRooXMIxOHWq1GfHw8bty4AYVCgQULFiAoKEjuYVk9CsImUFVVBQBITk6WeSTSycjIwNmzZ7Ft2zZUVFRgw4YNcg9JdGPHjsXYsWMBAPPnz0dYWJjVBGAA+OGHH1BTU4OUlBScOHECy5cvR1JSktzDsnq0HGECf/zxByoqKvDGG29g0qRJOHfunNxDEt1PP/2Ezp07Y9q0aZg6dSpefPFFuYckmQsXLuDSpUuIiIiQeyii6tChAzQaDbRaLVQqFezs6B7NFOi7bAJOTk6YPHkywsPDcfnyZUyZMgXff/+9VX3IS0tLUVBQgDVr1uD69et466238P3334NhGLmHJrq1a9di2rRpcg9DdC4uLrhx4wZGjhyJ0tJSrFmzRu4h2QS6EzaBDh064G9/+xsYhkGHDh3g6emJkpISuYclKk9PT/Tv3x8ODg4IDAyEo6Mj7ty5I/ewRHfv3j3k5eWhb9++cg9FdBs3bkT//v1x4MABfPPNN4iPj9cvpRHpUBA2gZ07d2LRokUAgOLiYqhUKrRq1UrmUYkrODgYP/74I1iWRXFxMSoqKuDp6Sn3sER3+vRpPP/883IPQxItWrTQPzz28PBATU0NNBqNzKOyfrSBjwlUV1dj9uzZKCgoAMMweO+999C7d2+5hyW6JUuWICMjAyzLYsaMGRgwYIDcQxLdf/7zH9jZ2SE6OlruoYiuvLwcc+bMQUlJCdRqNSZNmoTRo0fLPSyrR0GYEEJkRMsRhBAiIwrChBAiIwrChBAiIwrChBAiIwrChBAiIwrCRFTx8fE4fvw47+tRUVHIzc0V5b1ycnJw+vRpAMCQIUOosIBYJArCxGIdPHgQly5dknsYhBjFejYvIILl5+dj9uzZsLOzg1KpxJIlS7B582acPn0aLMsiOjoaI0eORFRUFDp06ID8/HywLIvPPvsMXl5emDdvHoqKilBaWoqBAwdi+vTpBr/3/fv38a9//QulpaUAgLlz56JLly4YPnw4evfujfz8fDzxxBNISkqCWq3G+++/j5s3b8LX1xenT5/Grl27kJaWBnt7e3Tr1g0AkJCQgOvXrwMAVq1aBQ8PD/G/aYSIjO6EbdjJkyfRrVs3fPXVV5g6dSoOHjyI69evIyUlBV9//TXWrFmDe/fuAQB69+6N5ORkjBw5EmvXrkVhYSGeeeYZfPnll9i2bRu2bdsm6L3XrFmDvn37Ijk5GQsWLEBCQgIA4Nq1a4iNjcX27dtx584dXLhwAdu3b4e/vz9SUlIQExOD27dvo02bNggNDUV0dDR69uwJAAgLC0NycjL8/Pxw4sQJUb9XhEiF7oRt2Lhx47B+/Xq8+eabcHd3R9euXZGVlYWoqCgAQE1NDQoKCgBAv2FN7969cfToUXh6euLChQs4deoU3NzcUF1dLei9//zzT5w6dQr79+8HAH2wb9myJXx9fQEAvr6+qKqqQm5uLgYOHAgACAoKgpeXF2ef3bt3BwB4e3ujsrJS0HgIkQvdCduwI0eOIDg4GJs2bcKIESOwe/du9OnTB8nJydi0aRNGjhwJf39/AMDvv/8OAPj111/RsWNH7N69G+7u7vj000/xxhtvoLKyEkIq4AMDAxEdHY3k5GQsX75cv0cB19aXnTt3xtmzZwEAV69e1S9hMAwDrVarv84at80k1o/uhG1Y9+7dERcXh6SkJCgUCqxcuRJ79+7FhAkT8ODBAwwbNgxubm4AgLS0NGzcuBHOzs5YsmQJbt26hZkzZ+LMmTNwdnbGk08+iZs3bxr83lOnTsW//vUv7NixAyqVCjExMbzXjhs3DvHx8Zg4cSLatm0LR0dH/fiXLFlCR/AQi0Yb+JAmRUVFISEhQbZg9+uvv+LBgwfo378/Ll++jDfffBOHDx+WZSyEiI3uhInoCgoKMGvWrAbtzz33HN59913B/bVr1w4zZ87EqlWrUFNTg3nz5okxTELMAt0JE0KIjOjBHCGEyIiCMCGEyIiCMCGEyIiCMCGEyIiCMCGEyOj/A9TT5Nbi+tDqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 367.125x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 2-D Scatter plot with color-coding for each flower type/class.\n",
"# Here 'sns' corresponds to seaborn. \n",
"sns.set_style(\"whitegrid\");\n",
"sns.FacetGrid(iris, hue=\"species\", size=4) \\\n",
" .map(plt.scatter, \"sepal_length\", \"sepal_width\") \\\n",
" .add_legend();\n",
"plt.show();\n",
"\n",
"# Notice that the blue points can be easily seperated \n",
"# from red and green by drawing a line. \n",
"# But red and green data points cannot be easily seperated.\n",
"# Can we draw multiple 2-D scatter plots for each combination of features?\n",
"# How many cobinations exist? 4C2 = 6."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "fi2bwtOHXVeM"
},
"source": [
"**Observation(s):**\n",
"1. Using sepal_length and sepal_width features, we can distinguish Setosa flowers from others.\n",
"2. Seperating Versicolor from Viginica is much harder as they have considerable overlap."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "feE8QdoDXVeN"
},
"source": [
"## 3D Scatter plot\n",
"\n",
"https://plot.ly/pandas/3d-scatter-plots/\n",
"\n",
"Needs a lot to mouse interaction to interpret data.\n",
"\n",
"What about 4-D, 5-D or n-D scatter plot?"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "aOQzge2jXVeP"
},
"source": [
"# (3.3) Pair-plot"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "PDlwGTYUXVeQ",
"outputId": "06c1313e-961f-47dc-c5b1-809f9ef55a8b"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:2065: UserWarning: The `size` parameter has been renamed to `height`; pleaes update your code.\n",
" warnings.warn(msg, UserWarning)\n",
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 943.125x864 with 20 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# pairwise scatter plot: Pair-Plot\n",
"# Dis-advantages: \n",
"##Can be used when number of features are high.\n",
"##Cannot visualize higher dimensional patterns in 3-D and 4-D. \n",
"#Only possible to view 2D patterns.\n",
"plt.close();\n",
"sns.set_style(\"whitegrid\");\n",
"sns.pairplot(iris, hue=\"species\", size=3);\n",
"plt.show()\n",
"# NOTE: the diagnol elements are PDFs for each feature. PDFs are expalined below."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "rQbcTy49XVeT"
},
"source": [
"**Observations**\n",
"1. petal_length and petal_width are the most useful features to identify various flower types.\n",
"2. While Setosa can be easily identified (linearly seperable), Virnica and Versicolor have some overlap (almost linearly seperable).\n",
"3. We can find \"lines\" and \"if-else\" conditions to build a simple model to classify the flower types."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "vNF7gMisXVeU"
},
"source": [
"# (3.4) Histogram, PDF, CDF"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "A3tpiU-4XVeV",
"outputId": "0e92ab76-36cd-4f45-8362-4ee90fb9670f"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# What about 1-D scatter plot using just one feature?\n",
"#1-D scatter plot of petal-length\n",
"import numpy as np\n",
"iris_setosa = iris.loc[iris[\"species\"] == \"setosa\"];\n",
"iris_virginica = iris.loc[iris[\"species\"] == \"virginica\"];\n",
"iris_versicolor = iris.loc[iris[\"species\"] == \"versicolor\"];\n",
"#print(iris_setosa[\"petal_length\"])\n",
"plt.plot(iris_setosa[\"petal_length\"], np.zeros_like(iris_setosa['petal_length']), 'o')\n",
"plt.plot(iris_versicolor[\"petal_length\"], np.zeros_like(iris_versicolor['petal_length']), 'o')\n",
"plt.plot(iris_virginica[\"petal_length\"], np.zeros_like(iris_virginica['petal_length']), 'o')\n",
"\n",
"plt.show()\n",
"#Disadvantages of 1-D scatter plot: Very hard to make sense as points \n",
"#are overlapping a lot.\n",
"#Are there better ways of visualizing 1-D scatter plots?"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "gHsdLcvvXVea",
"outputId": "cdfb26ec-5b69-4f33-8169-85bfb4fba3f8"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:230: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
" warnings.warn(msg, UserWarning)\n",
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 439.125x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
" .map(sns.distplot, \"petal_length\") \\\n",
" .add_legend();\n",
"plt.show();\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "q2v1G4K7XVed",
"outputId": "ebee03f6-8285-4109-e7bd-d09989e35be6"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:230: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
" warnings.warn(msg, UserWarning)\n",
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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nwR9o33fRRRfVmnC9emXl71q8ePEpn73xxhvNrrGh2sxQ+XKXl6iT4VV921A9LxERc2oT4WUYBuVuLzEnB2xEnxxh6FJ4iYiYUpsIL5fHh9dn1PS4qntgVV6Fl4iIGbWJ8Co/OY9hdc/LHmElwmrBpdGGIiKm1CbCq+zk5JfVPS4Ap81KlVcDNkREzKhNjDasnoS3uucF4LBZ1fMSkeApL4SqksAdzxEH0UmBO16IaxPhVd3zqn7mBdU9L4WXiARJVQnsWhm44/Uc1SrhtWrVKvLy8pgyZUqD95k/fz6pqalMmzYtYHW0ifCqfuYV/Z15DB0RVg2VFxFppBEjRgS7BKCNhVfMd95Ad9oiNFReRNqMW265hWuuuYZzzz2XjRs38vTTT5Oamsq+ffvw+XzcdtttnHfeeVx++eV069YNh8PB1VdfzSOPPILNZiM+Pp4//elPvPfee+zevZvbb7+dBQsW8MEHH+D1epk2bRpTp07l+eef59///jc2m41zzjmHOXPm1Krj4Ycf5uuvvwbg8ssvZ9asWdx5550UFRVRVFTEokWLSEhIqLc9bSS8Tt42/M6ADYfNSmkAVzEVEQllkydPZvny5Zx77rksX76c4cOHc/jwYR588EEKCwuZMWMG//73vykvL+cXv/gF/fr145FHHuGSSy7hhhtu4MMPP6S4uLjmeFu3bmXVqlW89tprVFVV8ec//5nt27fzzjvv8Oqrr2Kz2bj11lv56KOPavb56KOPOHjwIMuWLcPj8TB9+nTOP/98AM4//3yuvfbaBrenTYRXmevkbUPHd3teVk0PJSJtxvDhw/njH/9IUVERX331FT6fj2+++YaNGzcC/hnlCwsLAcjMzATgxhtvZOHChcyaNYv09HQGDRpUc7w9e/YwaNAgIiIiiIqK4p577uGdd95h8ODB2O3+lTvOOeccdu7cWbNPTk4O55xzDhaLBbvdzuDBg8nJyal1zoZqE0Pla3pezto9L902FJG2wmq1MnbsWObOncvo0aPp0aMH48aNY8mSJTz33HOMHTu25nad1eqPhhUrVnDFFVewZMkSevXqxbJly2qO1717d7Zu3YrP58PtdnPdddeRmZnJxo0b8Xg8GIbB2rVra4VSjx49am4Zut1u1q1bR9euXQGwWCyNak+b6HnVNWDDadOADREJIkecf4RgII9XjyuvvJLRo0fz7rvvkpaWxj333MOMGTMoLS1l+vTpNaFVbeDAgdx5551ER0djt9v53e9+x9q1awHIyspi+PDhTJs2DZ/Px7Rp0+jbty+XXXZZzWdDhw5l9OjRbNu2DYCLL76YNWvWMGXKFNxuN2PHjqV///5Naq7FaMkFV07Kzs4mKysraPs/9E42iz/by/Z5lwFwsLCcuW9t5YPsI/x+wgAirBZG9E6lc1J0k8/REM1tR6hQO0KL2hFawqUdoa5t3DZ0eWsN1gB/zws0s7yIiBm1jfCq8tYarAHfhpcGbYiImE8bCS8PMc7aPS+Hel4iIqbVJsKrrMpL1Gl7XgovERGzaRPhVVHlIcbx/Z6X1vQSETGrNjFUvszlpWOio9Zn1bcNNbO8iATDCdcJytxlATtejD2GBGf90yqFizYRXnU986oZbag1vUQkCMrcZXyW+1nAjndhxwsbFV6NmR2+oKCAv/zlL8ydO7fO77Ozs1m5ciW33HJLg8/fXG0kvE4dKu+IqB6w0eKvuYmIhJzGzA7frl270wYX+F9Ybu1329pQeNVu6rejDdXzEpHw9/1Z5a+77rqameBvuukmEhMTGTFiBOeddx4PPPAAMTExpKSk4HQ6ueWWW/j1r3/NsmXLGD9+POeeey7bt2/HYrGwYMECtm7dyquvvsrjjz/Oa6+9xiuvvILP52PUqFHceuutLF26lPfeew+Px0NcXBzz58/H4XDUX/QZhP2ADcMwKKtzwMbJZ14asCEibUD1rPIAy5cvZ/bs2TXfFRQU8H//93/87Gc/4/777+fhhx/mxRdfJCMj45TjlJWVMW7cOJYuXUpaWhqrVq2q+e7YsWM899xzvPzyy7z55puUlJRQWlpKUVERixcv5uWXX8bj8bBp06Zmtyfsw6vS7cMwOGWovNViwWa14NZQeRFpA4YPH86mTZtqZpV3Op0133Xu3LmmJ5Sfn0+vXr0AGDp0aJ3H6tevHwAdOnTA5XLVfH7gwAF69epFZGQkVquVu+++m9jYWOx2O7/+9a+5++67OXz4MB5P85ejCvvwqp5R/vsDNkAzy4tI2/H9WeUjIiJqfVetffv27Nq1C4ANGzbUeazTzQCfkZHB7t27qaqqAuCXv/wla9as4YMPPuCJJ57g3nvvxefzEYgpdcP+mVfNjPKOU5vqsFlx67ahiARBjD2GCzteGNDj1ee7s8qvWbOmzm3uv/9+7r777pqZ5NPT0xtcQ3JyMj/72c+YMWMGFouFiy++mIEDBxIVFcXEiRNxOBy0a9eO/Pz8Bh/zdMI+vMqqe16OOnpeEep5iUhwJDgTWv29rA4dOrBlyxbAf6uw2nfX6dq0aRMLFy4kOTmZxx9/HLvdTufOnWu2+fDDD2u2vf3222t+fN555wEwceJEJk6cWOu8L774YsDbEvbhVd3ziqorvNTzEhGpJSUlheuvv57o6Gji4uJ4+OGHg11SncI/vFz+8Ipx1nHbUD0vEZFaxo4dy9ixY4NdRr3CfsBG9W3D77+kDP6el2aVFxExn7APr/Ka8Kp7wIbCS0TEfNpAeJ28bXiaARuaVV5ExHzCP7xOPvOKruOZl1M9LxERUwr78Kp+5hVlP7XnZT8ZXoF4YU5ERFpP2IdXRZWXSLuVCOupb4Q7I6wYgMen8BIRMZNmhdexY8cYOXIkOTk5gaon4PyT8tb9RoC9ZmZ53ToUETGTJoeX2+3mvvvuIzIyMpD1BFy5y0t0HfMawncXpFR4iYiYSZPD65FHHmHq1KmkpaUFsp6AK6/yEm0/Tc8rQj0vEREzatIMG2+++SbJyckMHz6cZ599tt7tXS4X2dnZTTkVAJWVlU3eP7/wBBafr9b+VbZY8g7nUVbin/k490g+x45GUXJ4X5NrbIjmtCOUqB2hRe0ILXW1o7VXGW4LmhReb7zxBhaLhS+++ILs7GzuuOMOnnnmGdq1a1fn9k6ns1kXLzs7u8n7Wz4uJDU6otb+BwvL6dDeoMJWCtuKiU9MJiU1hc5JXZpcY0M0px2hRO0ILWpHaAmXdoS6JoXXSy+9VPPjmTNnMnfu3NMGV7CVuTwkx9S93LTz5Ho2um0oImIu4T9U3u2tc3YNALvNP3xe4SUiYi7NnlV+yZIlgaijxZS5vHXOrgHgtKnnJSJiRmHf8yqv8py25+WI0FB5EREzCuvw8vkMKtxeok77krL/tqHW9BIRMZewDq9KjxfDqHtGeQCb1T9tlG4bioiYS1iHV9kZZpSvpmVRRETMJ6zDq2YhyjpmlK+mBSlFRMwnzMPr5EKUp5nbENTzEhExozAPr5M9r9MM2IDqnpe3tUoSEZEACOvwqnnmdZoBG1AdXlrPS0TETMI6vKpvG56x5xVhpcqrnpeIiJmEeXj5bxue8ZmXBmyIiJhOWIdXWUN6XgovERHTCevwqqgZsKHRhiIi4SSsw6v05ICNqAa852UYGrQhImIWYR1eZS4PsU4bVqvltNs4bVZ8hibnFRExk7AOr9JKf3ididPm/yUod2nEoYiIWYR3eLk8xEaeObwiT95SLHV5WqMkEREJgLAOrxKXh5h6el7V4VWm8BIRMY2wDq/SSjdx9d02tPt/CdTzEhExj7AOrzKXt95nXlG6bSgiYjphHV4NeuZlqw4vDdgQETGLsA6vkkp3vT0vPfMSETGfsA0vwzAodXmIq6fnpWdeIiLmE7bhVeH24jOot+dltVhw2KzqeYmImEjYhldppT+M6nvmBf5BG+p5iYiYR9iGV8nJMKqv5wX+WTbKNGBDRMQ0wja8anpeDQivSHsEpS53S5ckIiIBUv/f7CZV1oieV6TdSkmlh4OF5bU+j3PaSIh21Lv/ifKqmp5eY/cVEZHGC9vwqrlt2IBnXpH2CI6WuFi142itz0f0Tm1QAJW4PE3eV0REGi/sbxvGOe31bhtpi6hZdVlEREJf+IZXI3teZVUabSgiYhZhH14xztOvolwt0m7F4zVwa0FKERFTCNvwKqn04Iiw4rQ1JLz821S6detQRMQMwja8Sl3uBt0yhG/Dq0LhJSJiCmEbXiWVngYNkweIdpwMLw3aEBExhbANr6JyN0nR9Y80hG/fBdMUUSIi5hDG4VVFYgPfs4o5GV6aIkpExBzC6iXl7850cbS0irT4SE6UV9X7snDMyduGGi4vImIOYRVe353p4liZi9JKDyUuT73hZYuwEu3QzPIiImYRlrcNfYZBpdtHlKP+YfLVEqLsWtNLRMQkwjK8qkcNRjcivBKj7ep5iYiYRFjdNqxWXhNeDW9eaqyT7LzilipJvqu8EKpKmr6/Iw6ikwJXj4iYTpiGl78H1ZieV7tYJ19WuDEMA4vF0lKlCfiDa9fKpu/fc5TCS6SNC8vbhsXVM8o3cIYNgNQ4J26voReVRURMICzDq7TSvypyXGTDXlIGf88LoKhCKyqLiIS6Jt02dLvd3H333Rw6dIiqqipuuukmRo0aFejamqzE5cFqaeRtw7iT4VVeRcfEqJYqTUREAqBJ4fXWW2+RmJjIH//4RwoLC7niiitCKrxKT85raG3Es6vOSf7Ayi9x0a+lChMRkYBoUniNHTuWSy+9tObnEREN7+G0hpJKT4NnlK8W47SREGWnoMTVQlWJiEigNCm8YmJiACgtLeWXv/wlt9122xm3d7lcZGdnN+VUAFRWVjZo/ypbLHmH8zhaUk6c00re4TyOJVsoObyvzu2+q2+qgwQHHDxeUvNdXfue6bzfVde+DW1HqGtuO9rZK3EfPtzk/e2JxyjIK2vy/tV0PUJLOLcjKysrSNWEryYPlc/Ly+Pmm29m+vTpjB8//ozbOp3OZl287OzsBu1/sLCc9uk+SquO07t9PB3adyAlNYXOSV1O2a5De6PWZ1HR0WSmJ/LJzgKSU9Nw2iLq3Pd05/3+8erat6HtCHXNbkfRfmjfvun7p6aQmpjR9P1P0vUILWqHNEaTRhsePXqU66+/njlz5jBp0qRA19QsFVVeXB4fSTENm1H+u7qnxuAzYN+x8haoTEREAqVJPa+FCxdSXFzMggULWLBgAQDPPfcckZGRAS2uKY6XVwGQ3MC1vL6ra0oM9ggLW3KL6Z0eF+jSpLkMHxzLgSObofw4+DwQmw6dhkLvSyE6OdgVikgraVJ43XPPPdxzzz2BriUgjpX5w6spPS+HzcrATglsOFjEmH7pgS5NmuPIFsj+J5Tmg9UGiV0hwg45H8Ha5/yfdb8YfngbdPthsKsVkRYWdtNDHT5RidXy7UvHjTW8VzvW7S/i4+35XDawGc9lJDC8HtjyBuz/AmLT4KwZ8INbIa2v/3vDgNx1kP0WrHsJFo+DrhfCpQ9Cx7OCW7uItJiwm2Hj8IlK0uIisUU0rWnp8ZEM7ZrEl7uPc6ioIsDVSaN4XLBmkT+4eoyCEXdA53PAEf3tNhYLdDobRs+F2zbCZY/C0Z3w3MXwzh3gKg1W9SLSgsIqvAzDILeogg4JzXv2NjorHasVXvhsb2AKk8bzeeHrF+B4Dpw1HbLGg7We9wntUXDe/8Ita+Gc62H1Inh2JORtbJ2aRaTVhFV47T1WTonLQ2ZqTLOOEx9lZ2jXJD7Mzqfw5DM0aUWGARtfhYJtMPAq6Hxu4/aPSoRxf4ZZK6CqDP46Gr5Z0jK1ikhQhFV4fbn7GAA92sU2+1jndE2myuvj/a1HzrhdUbnCLeByPoCDa6H3WMg4v+nHyRwON34KXX8Ab90CHz3oD0YRMb2wGbBhGAbvbDpM56SoJo00/L4OCZGkxTl5P/sIVw2r+0Xlef/ayl8/3cOM8zPo1yGh2ecUoHAvbH8HOg6BXpfWu3m9YlLh6tdgxW3w30eg5DCMuh/cZbSzV/pfmG4sLYYpEnRhE14bDp5g99EyJpzVMSDHs1gs/LBXKm9vyqPS7SXSXvt5y+ZDJ/jrp3sAeHn1fn59SR+SAxDDBJQwAAAffElEQVSabZq7AtYtgchE/+3CQC0KGmGHCU/7Ryt++hj43NBpGO4jR5o204cWwxQJurC5bbjsqwM4bVYGd04M2DF/2DOVSrePz3OOnvLdayfP98GvR2IYsO5AYcDO2yYZBmx6HSoK4eyZ/sEXgWSxwKj74IJbYP3LsP3twB5fRFpVWISXy+Pl3xvzGNG73Sk9pOY4q0si0Y4IPtpWUOtzr8/g7c2H+VHfNHqmxdK3Qxw7j2hIdrMc+gpyv/bfKkzKbJlzWCwwZh4MmAS73ifq6KaWOY+ItLiwCK+PtxdwosId8FkxHDYrP+iRykfb8zG+86B/7d7jFJS4GDeoAwDndEvmwPFyqjy+gJ6/zSgr8Pe6kntAr0ta9lwWC1x8N6T0ImHff6Cw/lUDRCT0hEV4rdiQS0qMg2GZgX8OcXHfdhwsrCCn4NslON7elEek3cqP+qYBkNU+DgM4UlwZ8POHPZ/HP4zdaoUhM8DSCr8lI+ww9Fq89lj46nm9yCxiQqYPL8Mw+CLnGCP7tMNmDXxzLurjD6iPt+cD4PMZvLvlMCN7tyPa4R/v0ru9fxJfzcjRBNvfgRP7YdBUiGrFQRCOGAp7TgR3qf+dMg2hFzEV04dXTkEpx8qqOC+zZWYU75QYRe/0WD7e7n/utf5gEUeKXYwd8O0otfQ4J9GOCHIVXo2Tnw05KyHjAugwuNVP74lOh77j/bPU7/+i1c8vIk1n+vBavec4AOdlprTYOS7qk8aaPcc5Ue7m7Y152KwWftT32+drFouFjolRCq/GqDwB61+CuA7Q/4rg1ZE5AlL7wJblUFpQ//YiEhJM/57X6t3HSYtz0jUlusVu2/3krE48u2o3f/l4F8u+OsAl/dJJiKq9XljHhCg+23UUj9fX5EmBzSIpkqa93FutshS+eRG8VXD2LIgI4vtxFqt/7sSPH4JNy+D8XwTu/bIG8vg8bD66ma+OfMXOwp3kleVR6amk0luJYRgkRSaREplCWnQaPRJ70DupNz0TexLraP5MMk1xwnWCMndZ/Rs2kjU6vP/cSGCZPry+2V/IsG7JWFrwL5x+HeO5pF86z67ajT3Cws0X9zxlmw6JkXgNg4JSFx0SAvyOUoixeSth15dN29kwYPdHJyfcvRriQmDZmcgEyPqxP7wOrG7elFSNsK94H69se4V39rzD8Ur/HYQOMR3oHNeZtOg0Im3+CaYLKwvZc2IPn+d+TrnHv8q3BQs9k3oypN0Q0jxpxJbE0jm2c4v+OahW5i7js9zPAn7cPo4+AT+mhC9Th1dJpZuDhRVMOzejxc/156sG88rq/ZzVJZEBnU6dCio9zv8XTX5x+IdXs+R8CNtWQM9LoPOwYFfzrYzz/e+aZb8F6f3B2XIraR8oOcDT657mnT3vYLPauKjLRYzpNoZz259LcuTpn90ahkFeWR67inax5dgWNuRv4O09b1PqLuXp3U+TEpnCWWlnMbjdYAa1G0S/lH5E2fR7UcKTqcNrx5ESAPq2b7m/aKrFR9r535E9Tvt9aqwDq0XD5c9o32cng2s09Lks2NXUZrHCoCmw6lHY8qb/dmaAub1uXtjyAos2LMJqsXL9gOuZ0W8GqVGpDSvRYqFjbEc6xnZkROcRAHh9Xj5Y9wEnYk+woWAD6/LXsXL/SgAiLBH0TurN4HaDGdhuIL0Se5GZkFnToxMxM1OHV3aeP7z6tEJ41ccWYSUlxsmRElewSwk9hgG73vdPyZTeHy66Gw6H4BpbsenQcwzseAc6neOv9TtOJHSkDB94yqA0t1GHzi/P5w+r/8C249sY3mk4Nw6+kdSoVKq8VZxwnSDB2bSJnSOsEWREZ5DVJ4ur+lwFwPHK42wq2MSGgg1sLNjIWzlv8er2VwGwWqxkxGXQM7EnmQmZdI3vSreEbnSL79bkGkSCwdThtf1wCXFOG50SQ+PWSHq8k7wT6nnVUlUOm1+H3G/8gTB4Gticwa7q9HqOgtx1/ppTetaqtQwfn+15D8r6QnTDX83YWbiTf+z6B17Dy5W9rqR/an+2F25ne+F2AC7seGFAgyM5MpmRXUYysstIwN8721e8j51FO9lVtItdhbvYVbSLjw98jMfw1OyX6Eyka3xXf6DFd6NbQje6xnclIy5DvTUJOaYOr22Hi+nTPq5VHlI3RFp8JFtyi3F7NU0Uhs+/gvGW5VBVAr0v80/91BozaDSH1QYDJ8MX82HHu9Dvx00+lGEYfJ77OSv3ryQ9Op1JvSeREtVyr3ScToQ1gu6J3eme2J1L+XaZGbfPzaGSQ+wr3sfe4r3sK97HvuJ9fJn7JW/lvFXrGB1iOtA1viu9knrRJ6kPbq8be4T9+6cSaTWmDS/DMNh2uIQfDw7MEiiBkB4fiQEUtOVbh94qyFvvH5hRctg/mnDYTyGx7jXRQlJKD+hyPuz5GDoPhfhOjT6EYRi8v+99vsz7kv4p/flxjx+f9i97j89DbiNvQ36XO8pd5/4x9pgz9ujsVrv/lmFCN0YystZ35e7ymjCrDra9J/aybPsyXF4XEZYIuiV0Y3C7wfRJ6qMgk1Zn2vDKO1FJSaWHvh3ig11KjbQ4/y2mNjdowzCgaC8cWOO/Pehx+Z8fDZnpX1Qy1Htbdck6OfPGxmVw4a8a1Qaf4WNFzgo2FGxgWPowxmaOPePdgUpPJRuObmhyqYfzDtO+6tRXDppzOzLaHk1WShZZKVm1Pq/0VPL+vvf5Z84/2XZsG2/ufBNnhJOBqQO5oOMFJEVqnTNpHaYNr22Hi4HWGWnYUKmxTiIsFo4Ut5Gel6cS9n0OB76E0nz/y8YdBvt7LcndW/1l34ByxEC/n8D6pf42dvthg3bz+Dy8seMNthduZ0TnEYzsPDJkbmsHQqQtkqHpQ6n0VjKm6xj2Fu9lff561uWv4+sjXzOw3UB+2OmHDR5BKdJUJg6v0BlpWC3CaiE1zkF+SZj3vLxu/4vGuz6AqjL/+luDpkLHs6A1Hux7Pc2b4cPdwOvTaSgcXAPb/gXtB0LCmV+odnlcvLr9VfYV72Nst7Gc2+HcptdoAhaLhcyETDITMhmVMYov8r7g6yNfs6lgE8PaD2Nkl5F6z0xajHnDK6+ETolRxEeG1r32tLhIDhaWB7uMlpOfTeJ/boTCHGjXB/qMg8SWf0m8Fnc57Fnb9P0b+nK0xeJfuHLVo7D1H5B+x2k3LXOX8XL2yxwpP8IVPa9gYLuBTa/PhOKd8Vza7VJ+2OmH/PfAf1l7eC2bjm7iRxk/4uy0s8Oq9ymhwbThtf1wSUjdMqyWHu9k06ETVFR5g11K4K17Cf41G6stCs75KbQfEOyKWl5smv+l6h3/wXloXZ2bFLmKWLp1KcVVxUzpM4VeSb1auci6NXcgyOlUek7fc42xx/A/3f+HoelD+c/e//Dv3f9m89HNjO8x/oyzh4g0linDq8rjI6eglFFZacEu5RTp8f7bZnuPldErPfTCtUkMAz75E3w4DzJHUnj2r0hxNeO2ndn0GA2HviFh7f9h6z8Wz3e+KigvYGn2UtxeNzOyZpAR38q90DNo7kCQ0xmcWv/yNekx6VzT7xrWF6znvb3vsWjDIkZljGJY+2HqhUlAmHAYmH8NL4/PCKmRhtWqw2tXfhitzvv+vf7gGjQFrn4dI6qN/Qs6wgaDpxFRfowhe76dkPhgyUEWb1mMYRjM6j8rpIIrFFgsFoakDeGmwTfRNb4r/9n7H17Z9kqLzEgvbY8pw2v74dab07CxUmIcRNkj2HyoONilBMYXf4HP58O5P4efLARbEJcvCabkTEr7X0G3gl10OrSR7GPZvLjlRSIjIrl2wLWkx6TXf4w2Kt4Zz7S+07gs8zL2nNjDog2LyCnKCXZZYnKmDK/sw8U4IqxkpsYEu5RTWCwWMpKj2ZJ7ItilNN+W5fDu3f4h42MfAaspf7sETMnAiRyLTSV719u8vuM12se05/qB1+tZTgNYLBaGtR/GTwf+lChbFC9lv8T7+97H6wvDZ8PSKkz5t9HW3GJ6psViD9FFHzNSotl7rJwT5e5gl9J0+76AN/8XMi6AKxa1+eACqDR8/KZTBk8kxjKyyuDaPlcRYw+9f0CFsvSYdH468KcMTR/KF7lf8MLmF2rWMhNpDNP9jWQYBpsPnWBgHWtqhYqM5GgA1h0oDHIlTVSwA16Z6h8CP/VlsGtS1t2uY/xy43y+rjrK/8Rk8sShg5y/9hX/YBZpFHuEnXHdxzG592SOVx7n2Y3PsqlgU7DLEpMxXXgdLKygsNzNwM6hG16dk6KIsFhYvceE/6IsOQJLr/TPljHj9UbNnh6OfIbBsuMbmLr7ZYrcpVydPIRzeo5j66AJdN23mgEblwe7RNPKSsnifwf/L+nR6SzftZyF2xZS7g7jdyQloEwXXpsO+Z8lDQrh8HLaIhjUJYEPs/ODXUrjuErh5clQfgyuXgZJ3YJdUVDtqCzgmj2v8vu8lQyKas+CwbfRw+mfFX5b/3Hs7jGCrC1v02frO0Gu1LwSnAnM6j+LEZ1H8OmRT7nqX1ex9djWYJclJmC68Np48AT2CEtITQtVl+E9U9l+pISdJ1d7DnleD7x2LRzeDJMX+yfUbaMOu0uYl7uSKTkvsa+qkHmdLuW5rpNI/e4ktxYLXw+bwb6u5zFo/Rv02fK2biE2kdVi5aIuF/Hbwb+lwlPB1W9fzZKtSzD06ylnYLqXlDcdKqJP+zictohgl3JGl/RLZ8HHOby0ej9zf+xfkdfqjDll6iibFTzfW/4rzmkjIboVh6QbBvx7tn+14/FPQe8xrXfuEHKgqoglx77h9cJNGBhckTSAW9MuJOl08/NZray94DosGAza8CYxZUdZd87VGNbQ/r0ZqrISs3hj/Bvc9/l9PLr2UT7P/Zz7L7if9jFnnlNS2iZThVel28tXewuZdm7ovwyaFOPgJ0M68fKa/Vx3YTe6psRQ6bXw9Y6jtbYbkpHIuv1FtT4b0Tu1dcPrw3nwzYswYg4MndV6520hJxI6UsaZFgT1QkJ7SiPicEU7WVOYzdtHVvN10Q4iLFbGpJ3DtE6jSI9MogKoOLlXpfPU3r5htbH6Bz+lLCaVrK1vE38ijzU/+CnlMa2/6GQ4SIxM5MmLn+Tv2//OY18/xhX/vILbz7mdib0mamYOqcVU4fXV3kJcHh8jeptjuYVfX9Kbd7cc5qd/+4q/XR+iM4x/+rh/6qeh18LFvw12NQFRho/P9rx32u/dCZ3ZfWQdG0oOssd7ApfhId7qZGRsd4ZEdyTeGsmuvLXs+t5+g/tOrPuAFiubz5pIcUIHzl77EmPensv6s6ewt/sPzLmWWZBZLBam9p3KhR0v5P4v7mfuF3N5Z8873HXeXfRI7BHs8iREmCq8PtlVgD3CwnmZ5vhXbcfEKBbNHMr/vvg14576hGlD0ujYLglrqPwL8rOn4IO5/mXvxz1m7vW3zsAwDAo8ZeS4jrHLdYz9hz/Ca3hxEkFWVBpZken0cKY0+7rsz7yAo+16cu4XzzNs9WJ67PyIjUMmU5DeN0AtaVu6xHfhr2P+yus7XueJb57gyreuZFrfadx01k3EO0JvajhpXeYKrx1HOTsjiRinecr+QY9Ult/8A+5evpkFnx2iY+Ixxg/qSNeUb19u9foMth8uZsPBExSVV/FB9hFmj+7dcq8D+Hz++Qq/eBr6XwE/eQbC6DmNYRgc95Szt6qQva5C9lUVUuLzLxDazhbDsKQsemAnqTKC5ITExp/A54Pyul+DKLdG8PEPbiDj4HoGbn2Hi1b+iaPJXdnecyR57bP8z8NskeCIbk4T2wyrxcpVfa7ikq6XMH/dfF7Kfol/7f4Xs/rPYnrf6UTb9evYVpkmBXIKStmaV8xv/yer/o1DTM+0OP7+8/N5+t3NPPdlLotW7aZXWiy90uPYeLCI/2w+TFGFmzinjfT4SL7ae5zxT3/KbaN78atRvQJ7r7+iEN66FbJX+OcrDJNpnw5VnWBN2QHWlh3gy4o8Cqr8zxFjrA66OZLIdCbTw5lCQkSk/xWAwr2ccDVx/klvFRzde8ZN9jujOTRoAt3yd9AndzMXrnmRCnsU+9r1ZG/fMZS0N9/v42BKikzivgvuY3LvycxfN58nv3mSF7e8yDX9r2FSr0kkRjbhHyFiaqYJr1fX7MdqgQlndQx2KU1isVgY0SORuLg4Ps85ype7j7EzvxQL0C01hssHdaBP+3girBaGdk1k0ardPPHBTg4WVvDwxIHYAjEV1p5VsPwmKD0MY+bBBbeY8lahYRgcrCpiXXluTWDluv1BlBwRRf/EXgxzt6erI4lUW3TQHvR7I2zkdOjH7vZ96VB4gG75O+mdt5m+uZs4kdCR3E6Dye18FqS0rYUrmyMrJYsFoxewoWADC9Yv4MlvnuSZ9c9wWeZlTO4zmUGpgzSwo40wRXgdL/fw8upDjB/ckbR4c09V5LBZuahPGhf1SaPU5eG8zGS25NbuAcQ4bfx58mC6Jsfw+Ac7KK5w89S0IUTam3hrr2A7fPAAbP83JGXCDe/5l7g3iVKvi80VR9hYkcfG8jw27niOQrf//bmEiEiGRXdmVspQhsV0oaczhbzEDmccsNHaDIuV3OSu5CZ3xVlVQRdXGR3zd9An+12ytr6D59NFONL7UJDWh4L0PpTFpJryHxWtaXC7wSy6ZBE7C3fy6rZXWbF7Bf/M+ScdYzoyptsYRmWMon9qf+zW0FppXQKnSeHl8/mYO3cu27dvx+FwMG/ePLp27Rro2gBwe308/nkBbq/BbaN7t8g5giXWacNhq7tHZbFY+NXoXiRE2Zi7YitTn/2SJ6eeVetZ2RmVFkDOSli3FPZ+Ao44+NG9cP4vQvJ5i2EYFHsrOeQuZo/rODmuY+x0HSPHdZSDVSeofl21uzOZkWlnM8hnZ1B0B3o5U0NnAEwDuBxR7Oo8hF0Df4y9qoz2uZvpV7CX9vu/pNueLwAoj07iaLteFCV1oSixC0VJXXBFhe6MMsHUK6kX915wL7OHzmbl/pW8t+89lmYvZfGWxUTZojg7/WyGpg2lT3If+ib3pV1UO/XMwkSTwuuDDz6gqqqKv//976xfv56HH36YZ555JtC18dXe4/zuX1vZeKiCeT8ZEJJLoLS0ay/MJD0+kv/3xkZGP/Zfxg/uyMV90uiQEInd4mWQ/SCW8mNQdhSKD/l7WYc3Qf7JKXaSuvlDa+i1ENP8VwwMw8Dt8+DyefBh4DMM//8xMKp/bBhUGV4qDTcVPg+VPjcVPjeVhocSr4tCdx5Fx3ZS6K3gmKecPHcxue5iyn3fzsJvw0pXZxL9ItP5cUJ/BkW3Z0BUe+IjIqHzMDi4ttltCTa3I4YD3c4j+Zyfs6FgPXHFeaQd2U67/O2kFuwiY9+amm0rI+Moi2lHeUwy5dHJlMck43LG43ZEYTlRTlyUF4/NiWG14rNEYFisWCtP4Kz09+pdkeE9Oi/WEcuEnhOY0HMCJ1wnWJ23mjWH17D28FqeOvRUzXZx9jg6xHagQ0wH2se0p31MexKdicQ54vz/2eOItkfjsDqwR9ixWW3YrXbsVjtRtigFXwhpUnh9/fXXDB8+HICzzjqLzZs3B7Soak9/tIvjZVXcMSKNGee3TM/ODC4b2IEhGUn85aNd/GPdId785hAAd9teYrDt37U3ju8EaVkwcBJkXuSf5imAAzIe+OIB3tj5RrOP47BEkBQRRbItmi6ORM6PyaCDPZ6OjngyHIlkOpKxh9EIyHpZLJQkdKQkoSM5vS8GwO4qJbHoIImFB0goOkR02TESCw/Q8dAGIrzfW25nXd2H7Xny/6svuIH9mRe0XP0hJMGZwJhuYxjTzT9TTElVCTsKd7Dt+Db2ntjL4bLD5JXlsS5/HcVVDR+0c3n3y3lo+EMtVbY0ksVowgRiv/3tbxkzZgwjR44E4KKLLuKDDz7AZqs7C9evX4/T6WxepSIiJmWz2ejVq1ewywgrTep5xcbGUlZWVvNzn8932uACf+9MREQkUJp0P+nss89m1apVgL9X1bt3eA2kEBGR0Nak24bVow137NiBYRg8+OCD9OihOcdERKR1NCm8REREgsn88wKJiEibo/ASERHTUXiJiIjphEx4+Xw+7rvvPqZMmcLMmTPZt29fre+XLVvGxIkTueqqq/joo4+CVGX96mvHvHnzmDhxIjNnzmTmzJmUlJQEqdKG2bBhAzNnzjzl8w8//JArr7ySKVOmsGzZsiBU1jina8cLL7zAuHHjaq7H7t27g1Bd/dxuN3PmzGH69OlMmjSJlStX1vreLNejvnaY5XoAeL1e7rrrLqZOncrVV1/N/v37a31vlmtiWkaIePfdd4077rjDMAzDWLdunXHjjTfWfJefn29cfvnlhsvlMoqLi2t+HIrO1A7DMIypU6cax44dC0Zpjfbss88al19+uTF58uRan1dVVRmjR482ioqKDJfLZUycONHIz88PUpX1O107DMMwfvOb3xibNm0KQlWN8/rrrxvz5s0zDMMwjh8/bowcObLmOzNdjzO1wzDMcz0MwzDef/9948477zQMwzC+/PLLWn/WzXRNzCpkel5nmnJq48aNDBkyBIfDQVxcHBkZGWzbti1YpZ7Rmdrh8/nYt28f9913H1OnTuX1118PVpkNkpGRwfz580/5PCcnh4yMDBISEnA4HAwdOpSvvvoqCBU2zOnaAbBlyxaeffZZpk2bxqJFi1q5soYbO3Ysv/rVr2p+HhHx7dRZZroeZ2oHmOd6AIwePZrf//73AOTm5pKa+u3coWa6JmYVMkuilJaWEhsbW/PziIgIPB4PNpuN0tJS4uLiar6LiYmhtLQ0GGXW60ztKC8vZ8aMGVx33XV4vV6uueYaBgwYQN++oblM/KWXXsrBgwdP+dxM1wNO3w6AcePGMX36dGJjY7nlllv46KOPuPjii1u5wvrFxPgnpS4tLeWXv/wlt912W813ZroeZ2oHmOd6VLPZbNxxxx28//77PPXUtxMAm+mamFXI9LzONOXU978rKyur9RsjlJypHVFRUVxzzTVERUURGxvL+eefH7I9yDMx0/U4E8MwmDVrFsnJyTgcDkaOHMnWrVuDXdZp5eXlcc011zBhwgTGjx9f87nZrsfp2mG261HtkUce4d133+Xee++lvLwcMN81MaOQCa8zTTk1aNAgvv76a1wuFyUlJeTk5ITslFRnasfevXuZPn06Xq8Xt9vNN998Q//+/YNVapP16NGDffv2UVRURFVVFV999RVDhgwJdlmNVlpayuWXX05ZWRmGYbB69WoGDBgQ7LLqdPToUa6//nrmzJnDpEmTan1nputxpnaY6XoA/OMf/6i5tRkV5V8upfo2qJmuiVmFzG3DSy65hM8++4ypU6fWTDn1wgsvkJGRwahRo5g5cybTp0/HMAxmz54dsrPU19eO8ePHc9VVV2G325kwYYKpZppesWIF5eXlTJkyhTvvvJMbbrgBwzC48sorSU9PD3Z5DfbddsyePZtrrrkGh8PBBRdcULNSQqhZuHAhxcXFLFiwgAULFgAwefJkKioqTHU96muHWa4HwJgxY7jrrru4+uqr8Xg83H333bz33nth8WfEDDQ9lIiImE7I3DYUERFpKIWXiIiYjsJLRERMR+ElIiKmo/ASERHTUXiJabhcLl577bUzbvOjH/0Il8vVpOP/4Q9/IDc3t9ZnOTk5NRP6rl27tual8gsvvLBJ5xCRwFB4iWkUFBTUG17N8dvf/paOHTue9vs33niD/Pz8Fju/iDRcyLykLG3Xm2++ycqVKyktLaWwsJCbb76ZpKQkHn/8cSIiIujSpQu/+93vWLhwIbt27eLpp59m0qRJzJ07F5fLRVFRETfffDOjR48+43kWL16M1+vlhhtu4L777sPhcHDPPfewYMECunTpwrJly5g7dy5xcXHcfvvtGIZBu3btANi8eTOffPIJW7ZsoWfPnlRVVfGb3/yG3NxcEhMTeeqpp7Db7a3xyyUiqOclIaK8vJwXXniB559/nocffpi77rqLp59+mqVLl5Kens7y5cu58cYb6dmzJ7fccgu7d+/muuuu44UXXuDee+/lpZdeqvccY8aM4ZNPPgFgz549bNiwAYBPP/201uSvL7zwApdffjlLliypCcQBAwYwfPhw5syZQ8eOHSkvL2f27Nm88sorlJaWkp2d3QK/KiJyOup5SUgYNmwYVquV1NRUoqKi2LdvX82M45WVlac8Y2rXrh3PPPMMr7/+OhaLBY/HU+85OnbsSGVlJRs3bqRHjx7k5uayceNG4uLiaq0EsHPnTiZMmAD456p85ZVXTjlWQkICnTt3BiA1NZWKioomt11EGk/hJSFhy5YtgH/iVpfLRUZGBgsWLCAuLo6VK1cSHR2N1WrF5/MB8OSTTzJ58mRGjhzJG2+8wfLlyxt0npEjR/LHP/6RWbNmkZuby7x585g8eXKtbbp37866devo27cvmzZtqvncYrFQPZuaxWIJRLNFpIkUXhISjh49yqxZsygpKeH+++/HarXy85//HMMwiImJ4dFHHyU2Nha3280f//hHxo4dyx/+8AcWLVpEhw4dKCwsbNB5xowZw9NPP80zzzxDfn4+Dz/8MAsXLqy1za9+9Stmz57N22+/XdO7Ahg8eDB/+tOfan0mIsGhiXkl6N588012797N7bffHuxSRMQk1POSsLNy5UoWL158yufXXHMNl1xySesXJCIBp56XiIiYjobKi4iI6Si8RETEdBReIiJiOgovERExHYWXiIiYzv8HDOruo/Jhd5kAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 439.125x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
" .map(sns.distplot, \"petal_width\") \\\n",
" .add_legend();\n",
"plt.show();"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "tu3UCZzLXVeg",
"outputId": "cb326e28-006c-47fc-9923-9c0c31d9d75b"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:230: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
" warnings.warn(msg, UserWarning)\n",
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 439.125x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
" .map(sns.distplot, \"sepal_length\") \\\n",
" .add_legend();\n",
"plt.show();"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "CYCVdN7KXVei",
"outputId": "0146890c-3ccc-4885-f0c9-3697d460ac58"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/seaborn/axisgrid.py:230: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
" warnings.warn(msg, UserWarning)\n",
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 439.125x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
" .map(sns.distplot, \"sepal_width\") \\\n",
" .add_legend();\n",
"plt.show();"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "1IqSk0m_XVel"
},
"outputs": [],
"source": [
"# Histograms and Probability Density Functions (PDF) using KDE\n",
"# How to compute PDFs using counts/frequencies of data points in each window.\n",
"# How window width effects the PDF plot.\n",
"\n",
"\n",
"# Interpreting a PDF:\n",
"## why is it called a density plot?\n",
"## Why is it called a probability plot?\n",
"## for each value of petal_length, what does the value on y-axis mean?\n",
"# Notice that we can write a simple if..else condition as if(petal_length) < 2.5 then flower type is setosa.\n",
"# Using just one feature, we can build a simple \"model\" suing if..else... statements.\n",
"\n",
"# Disadv of PDF: Can we say what percentage of versicolor points have a petal_length of less than 5?\n",
"\n",
"# Do some of these plots look like a bell-curve you studied in under-grad?\n",
"# Gaussian/Normal distribution.\n",
"# What is \"normal\" about normal distribution?\n",
"# e.g: Hieghts of male students in a class.\n",
"# One of the most frequent distributions in nature.\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "KbIfC4DwXVen",
"outputId": "e3b36558-f5eb-447d-893d-6d7b5e50b5c2"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0. 0.04]\n",
"[1. 1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# Need for Cumulative Distribution Function (CDF)\n",
"# We can visually see what percentage of versicolor flowers have a \n",
"# petal_length of less than 5?\n",
"# How to construct a CDF?\n",
"# How to read a CDF?\n",
"\n",
"#Plot CDF of petal_length\n",
"\n",
"counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"print(pdf);\n",
"print(bin_edges);\n",
"cdf = np.cumsum(pdf)\n",
"plt.plot(bin_edges[1:],pdf);\n",
"plt.plot(bin_edges[1:], cdf)\n",
"\n",
"\n",
"counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=20, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"plt.plot(bin_edges[1:],pdf);\n",
"\n",
"plt.show();\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "AJfTZRaSXVep",
"outputId": "74348ecf-05bc-4196-c5cc-9e7ca4a1aff0"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0. 0.04]\n",
"[1. 1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Need for Cumulative Distribution Function (CDF)\n",
"# We can visually see what percentage of versicolor flowers have a \n",
"# petal_length of less than 1.6?\n",
"# How to construct a CDF?\n",
"# How to read a CDF?\n",
"\n",
"#Plot CDF of petal_length\n",
"\n",
"counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"print(pdf);\n",
"print(bin_edges)\n",
"\n",
"#compute CDF\n",
"cdf = np.cumsum(pdf)\n",
"plt.plot(bin_edges[1:],pdf)\n",
"plt.plot(bin_edges[1:], cdf)\n",
"\n",
"\n",
"\n",
"plt.show();"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "Ck64y6OFXVes",
"outputId": "5c5110e3-7d03-4141-ef6c-49f725454131"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0. 0.04]\n",
"[1. 1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n",
"[0.02 0.1 0.24 0.08 0.18 0.16 0.1 0.04 0.02 0.06]\n",
"[4.5 4.74 4.98 5.22 5.46 5.7 5.94 6.18 6.42 6.66 6.9 ]\n",
"[0.02 0.04 0.06 0.04 0.16 0.14 0.12 0.2 0.14 0.08]\n",
"[3. 3.21 3.42 3.63 3.84 4.05 4.26 4.47 4.68 4.89 5.1 ]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plots of CDF of petal_length for various types of flowers.\n",
"\n",
"# Misclassification error if you use petal_length only.\n",
"\n",
"counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"print(pdf);\n",
"print(bin_edges)\n",
"cdf = np.cumsum(pdf)\n",
"plt.plot(bin_edges[1:],pdf)\n",
"plt.plot(bin_edges[1:], cdf)\n",
"\n",
"\n",
"# virginica\n",
"counts, bin_edges = np.histogram(iris_virginica['petal_length'], bins=10, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"print(pdf);\n",
"print(bin_edges)\n",
"cdf = np.cumsum(pdf)\n",
"plt.plot(bin_edges[1:],pdf)\n",
"plt.plot(bin_edges[1:], cdf)\n",
"\n",
"\n",
"#versicolor\n",
"counts, bin_edges = np.histogram(iris_versicolor['petal_length'], bins=10, \n",
" density = True)\n",
"pdf = counts/(sum(counts))\n",
"print(pdf);\n",
"print(bin_edges)\n",
"cdf = np.cumsum(pdf)\n",
"plt.plot(bin_edges[1:],pdf)\n",
"plt.plot(bin_edges[1:], cdf)\n",
"\n",
"\n",
"plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "AQiQN2AmXVev"
},
"source": [
"# (3.5) Mean, Variance and Std-dev"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "1HQRbY3zXVew",
"outputId": "34824913-e189-4a74-84e0-791a4a82b31e"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Means:\n",
"1.464\n",
"2.4156862745098038\n",
"5.552\n",
"4.26\n",
"\n",
"Std-dev:\n",
"0.17176728442867115\n",
"0.5463478745268441\n",
"0.4651881339845204\n"
]
}
],
"source": [
"#Mean, Variance, Std-deviation, \n",
"print(\"Means:\")\n",
"print(np.mean(iris_setosa[\"petal_length\"]))\n",
"#Mean with an outlier.\n",
"print(np.mean(np.append(iris_setosa[\"petal_length\"],50)));\n",
"print(np.mean(iris_virginica[\"petal_length\"]))\n",
"print(np.mean(iris_versicolor[\"petal_length\"]))\n",
"\n",
"print(\"\\nStd-dev:\");\n",
"print(np.std(iris_setosa[\"petal_length\"]))\n",
"print(np.std(iris_virginica[\"petal_length\"]))\n",
"print(np.std(iris_versicolor[\"petal_length\"]))\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "ZKTaX1aOXVez"
},
"source": [
"# (3.6) Median, Percentile, Quantile, IQR, MAD"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "ZoNsL4UtXVe0",
"outputId": "5e7b9a75-612d-4f5a-e086-2d2e0eb88278"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Medians:\n",
"1.5\n",
"1.5\n",
"5.55\n",
"4.35\n",
"\n",
"Quantiles:\n",
"[1. 1.4 1.5 1.575]\n",
"[4.5 5.1 5.55 5.875]\n",
"[3. 4. 4.35 4.6 ]\n",
"\n",
"90th Percentiles:\n",
"1.7\n",
"6.3100000000000005\n",
"4.8\n",
"\n",
"Median Absolute Deviation\n",
"0.14826022185056031\n",
"0.6671709983275211\n",
"0.5189107764769602\n"
]
}
],
"source": [
"#Median, Quantiles, Percentiles, IQR.\n",
"print(\"\\nMedians:\")\n",
"print(np.median(iris_setosa[\"petal_length\"]))\n",
"#Median with an outlier\n",
"print(np.median(np.append(iris_setosa[\"petal_length\"],50)));\n",
"print(np.median(iris_virginica[\"petal_length\"]))\n",
"print(np.median(iris_versicolor[\"petal_length\"]))\n",
"\n",
"\n",
"print(\"\\nQuantiles:\")\n",
"print(np.percentile(iris_setosa[\"petal_length\"],np.arange(0, 100, 25)))\n",
"print(np.percentile(iris_virginica[\"petal_length\"],np.arange(0, 100, 25)))\n",
"print(np.percentile(iris_versicolor[\"petal_length\"], np.arange(0, 100, 25)))\n",
"\n",
"print(\"\\n90th Percentiles:\")\n",
"print(np.percentile(iris_setosa[\"petal_length\"],90))\n",
"print(np.percentile(iris_virginica[\"petal_length\"],90))\n",
"print(np.percentile(iris_versicolor[\"petal_length\"], 90))\n",
"\n",
"from statsmodels import robust\n",
"print (\"\\nMedian Absolute Deviation\")\n",
"print(robust.mad(iris_setosa[\"petal_length\"]))\n",
"print(robust.mad(iris_virginica[\"petal_length\"]))\n",
"print(robust.mad(iris_versicolor[\"petal_length\"]))\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "SsuO8KWdXVe5"
},
"source": [
"# (3.7) Box plot and Whiskers"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "ngJhLV1qXVe5",
"outputId": "abc1c0df-c7ab-405b-b143-7ac6fe04797b"
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"#Box-plot with whiskers: another method of visualizing the 1-D scatter plot more intuitivey.\n",
"# The Concept of median, percentile, quantile.\n",
"# How to draw the box in the box-plot?\n",
"# How to draw whiskers: [no standard way] Could use min and max or use other complex statistical techniques.\n",
"# IQR like idea.\n",
"\n",
"#NOTE: IN the plot below, a technique call inter-quartile range is used in plotting the whiskers. \n",
"#Whiskers in the plot below donot correposnd to the min and max values.\n",
"\n",
"#Box-plot can be visualized as a PDF on the side-ways.\n",
"\n",
"sns.boxplot(x='species',y='petal_length', data=iris)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "F5QJ2osbXVe7"
},
"source": [
"# (3.8) Violin plots"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "D0W7s-zVXVe8",
"outputId": "7951b85b-1da2-4879-c770-ee305ac3cc11"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# A violin plot combines the benefits of the previous two plots \n",
"#and simplifies them\n",
"\n",
"# Denser regions of the data are fatter, and sparser ones thinner \n",
"#in a violin plot\n",
"\n",
"sns.violinplot(x=\"species\", y=\"petal_length\", data=iris, size=8)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "LaAXl7zBXVfC"
},
"source": [
"# (3.11) Multivariate probability density, contour plot.\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"colab": {
"autoexec": {
"startup": false,
"wait_interval": 0
}
},
"colab_type": "code",
"id": "VVNC0rEPXVfD"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#2D Density plot, contors-plot\n",
"sns.jointplot(x=\"petal_length\", y=\"petal_width\", data=iris_setosa, kind=\"kde\");\n",
"plt.show();\n"
]
}
],
"metadata": {
"colab": {
"default_view": {},
"name": "12.1#12.3.ipynb",
"provenance": [],
"version": "0.3.2",
"views": {}
},
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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