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mba6693_3692918_a01.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "MBA6693_3692918_A01.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyOKUxw43vIHvmUVN1hWI5vv",
"include_colab_link": true
},
"kernelspec": {
"name": "ir",
"display_name": "R"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/prateekgurnani10/22cb1f7712dd55f6dd1a6b6b34f1387c/mba6693_3692918_a01.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TZ5F5_QuPbBK"
},
"source": [
"#Exploratory Data Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CAGw6CE9PmDU"
},
"source": [
"## Loading and Preparing Data"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Ba5olnkfTcOK"
},
"source": [
"### Installation of Required Packages"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "bC6JgWdHPrZl",
"outputId": "50c638ae-c5c7-4f4b-843a-ac5e87f0d8e8"
},
"source": [
"install.packages(\"readxl\")"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Installing package into ‘/usr/local/lib/R/site-library’\n",
"(as ‘lib’ is unspecified)\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "fu2tZHldYsd_",
"outputId": "eef5481d-2575-4418-aaa1-43cd005e950a"
},
"source": [
"install.packages('pander')"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"Installing package into ‘/usr/local/lib/R/site-library’\n",
"(as ‘lib’ is unspecified)\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Uwb1OFWOYwrg",
"outputId": "952a0016-b541-4dad-f97e-374697a99300"
},
"source": [
"install.packages(\"forcats\")"
],
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": [
"Installing package into ‘/usr/local/lib/R/site-library’\n",
"(as ‘lib’ is unspecified)\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "V8EsKlK1MAq1",
"outputId": "709d7ffb-37ca-46e8-d522-985b07e6b4ee"
},
"source": [
"install.packages(\"visreg\")"
],
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": [
"Installing package into ‘/usr/local/lib/R/site-library’\n",
"(as ‘lib’ is unspecified)\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "8UgfRbtyMrb5",
"outputId": "ffe9e99b-4b2d-4e0d-a707-5f7e646a8fd0"
},
"source": [
"install.packages(\"corrplot\")"
],
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": [
"Installing package into ‘/usr/local/lib/R/site-library’\n",
"(as ‘lib’ is unspecified)\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "BThBG2j6Zfkc",
"outputId": "4b74bcc3-4a6c-4e9a-9471-7a5daaa36134"
},
"source": [
"#Install and Load Packages\n",
"\n",
"if(!require(\"pacman\")) install.packages(\"pacman\")\n",
"\n",
"# packages (including pacman) with pacman\n",
"\n",
"pacman::p_load(pacman, magrittr, productplots, psych,\n",
"\n",
"RColorBrewer, tidyverse)\n",
"\n",
"# pacman: for loading/unloading packages\n",
"\n",
"# magrittr: for pipes\n",
"\n",
"# productplots: for sample dataset \"happy\"\n",
"\n",
"# psych: for statistical procedures\n",
"\n",
"# RColorBrewer: for color palettes\n",
"\n",
"# tidyverse: for so many reasons\n"
],
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": [
"Loading required package: pacman\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "QQwOxHJ7QW9c"
},
"source": [
"library(\"readxl\")"
],
"execution_count": 7,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "ePU6ZPwVQeza"
},
"source": [
"df <- read_excel(\"UNB MBA6693 A01 Professor Proposes Data.xlsx\", sheet = \"Sheet1\") #Reading the dataset"
],
"execution_count": 8,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "xk4OVIH0Q5fb",
"outputId": "85959b53-dfb2-4368-db2d-84fd3c12a293"
},
"source": [
"df #dataset is printed"
],
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Carat Colour Clarity Cut Certification Polish Symmetry Price Wholesaler\n",
"1 0.92 I SI2 G AGS V V 3000 1 \n",
"2 0.92 I SI2 V AGS G G 3000 1 \n",
"3 0.82 F SI2 I GIA X X 3004 1 \n",
"4 0.81 G SI1 I GIA X V 3004 1 \n",
"5 0.90 J VS2 V GIA V V 3006 1 \n",
"6 0.87 F SI2 I AGS G V 3007 1 \n",
"7 0.80 D SI2 I GIA V V 3008 1 \n",
"8 0.84 F SI1 G GIA V V 3010 1 \n",
"9 0.80 D SI2 V GIA V V 3012 1 \n",
"10 0.80 D SI2 V GIA V X 3012 1 \n",
"11 0.85 G SI2 I GIA V V 3014 1 \n",
"12 0.83 G SI2 I GIA X X 3014 1 \n",
"13 0.82 H VS1 G AGS G V 3015 1 \n",
"14 0.82 G SI1 I GIA X X 3015 1 \n",
"15 0.80 F SI1 V GIA V V 3022 1 \n",
"16 0.91 J SI1 V GIA V V 3023 1 \n",
"17 0.81 F SI1 V AGS V V 3027 1 \n",
"18 0.90 I SI1 V GIA X V 3028 1 \n",
"19 0.81 E SI2 I GIA V X 3029 1 \n",
"20 0.81 E SI2 I GIA X X 3029 1 \n",
"21 0.81 E SI2 I GIA G G 3031 1 \n",
"22 0.80 I VS1 I AGS I I 3031 1 \n",
"23 0.80 I VS1 I AGS I I 3031 1 \n",
"24 0.80 G SI1 I GIA X V 3035 1 \n",
"25 0.81 H SI1 V GIA G V 3036 1 \n",
"26 0.91 H SI2 G GIA V G 3038 1 \n",
"27 0.83 D SI2 G GIA G G 3041 1 \n",
"28 0.83 I VS2 V GIA G G 3041 1 \n",
"29 0.88 I SI1 I AGS I I 3042 1 \n",
"30 0.90 G SI2 F GIA V V 3043 1 \n",
"⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"411 0.3 H SI1 X GIA X V 547 3 \n",
"412 0.3 H SI1 V GIA V V 547 3 \n",
"413 0.3 H SI1 V GIA X V 547 3 \n",
"414 0.3 H SI1 X GIA V V 547 3 \n",
"415 0.3 H SI1 X GIA V V 547 3 \n",
"416 0.3 H SI1 X GIA V V 547 3 \n",
"417 0.3 H SI1 I GIA G V 547 3 \n",
"418 0.3 H SI1 V GIA X V 547 3 \n",
"419 0.3 H SI1 X GIA V V 547 3 \n",
"420 0.3 I VS2 V GIA V X 547 3 \n",
"421 0.3 I VS2 X GIA V V 547 3 \n",
"422 0.3 I VS2 X GIA X X 547 3 \n",
"423 0.3 I VS2 I GIA V V 547 3 \n",
"424 0.3 I VS2 V GIA X V 547 3 \n",
"425 0.3 I VS2 V GIA V V 547 3 \n",
"426 0.3 I VS2 I GIA V V 547 3 \n",
"427 0.3 I VS2 X GIA V V 547 3 \n",
"428 0.3 I VS2 I GIA X V 547 3 \n",
"429 0.3 I VS2 X GIA V X 547 3 \n",
"430 0.3 I VS2 X GIA X V 547 3 \n",
"431 0.3 I VS2 I GIA G V 547 3 \n",
"432 0.3 I VS2 I GIA G V 547 3 \n",
"433 0.3 I VS2 I GIA X V 547 3 \n",
"434 0.3 I VS2 I GIA X V 547 3 \n",
"435 0.3 K VVS1 X GIA X V 547 3 \n",
"436 0.3 K VVS1 V GIA X V 547 3 \n",
"437 0.3 H SI1 G GIA V V 559 3 \n",
"438 0.3 H SI1 X GIA V V 559 3 \n",
"439 0.3 H SI1 V GIA X X 559 3 \n",
"440 0.3 H SI1 X GIA V X 559 3 "
],
"text/latex": "A tibble: 440 × 9\n\\begin{tabular}{lllllllll}\n Carat & Colour & Clarity & Cut & Certification & Polish & Symmetry & Price & Wholesaler\\\\\n <dbl> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <dbl> & <dbl>\\\\\n\\hline\n\t 0.92 & I & SI2 & G & AGS & V & V & 3000 & 1\\\\\n\t 0.92 & I & SI2 & V & AGS & G & G & 3000 & 1\\\\\n\t 0.82 & F & SI2 & I & GIA & X & X & 3004 & 1\\\\\n\t 0.81 & G & SI1 & I & GIA & X & V & 3004 & 1\\\\\n\t 0.90 & J & VS2 & V & GIA & V & V & 3006 & 1\\\\\n\t 0.87 & F & SI2 & I & AGS & G & V & 3007 & 1\\\\\n\t 0.80 & D & SI2 & I & GIA & V & V & 3008 & 1\\\\\n\t 0.84 & F & SI1 & G & GIA & V & V & 3010 & 1\\\\\n\t 0.80 & D & SI2 & V & GIA & V & V & 3012 & 1\\\\\n\t 0.80 & D & SI2 & V & GIA & V & X & 3012 & 1\\\\\n\t 0.85 & G & SI2 & I & GIA & V & V & 3014 & 1\\\\\n\t 0.83 & G & SI2 & I & GIA & X & X & 3014 & 1\\\\\n\t 0.82 & H & VS1 & G & AGS & G & V & 3015 & 1\\\\\n\t 0.82 & G & SI1 & I & GIA & X & X & 3015 & 1\\\\\n\t 0.80 & F & SI1 & V & GIA & V & V & 3022 & 1\\\\\n\t 0.91 & J & SI1 & V & GIA & V & V & 3023 & 1\\\\\n\t 0.81 & F & SI1 & V & AGS & V & V & 3027 & 1\\\\\n\t 0.90 & I & SI1 & V & GIA & X & V & 3028 & 1\\\\\n\t 0.81 & E & SI2 & I & GIA & V & X & 3029 & 1\\\\\n\t 0.81 & E & SI2 & I & GIA & X & X & 3029 & 1\\\\\n\t 0.81 & E & SI2 & I & GIA & G & G & 3031 & 1\\\\\n\t 0.80 & I & VS1 & I & AGS & I & I & 3031 & 1\\\\\n\t 0.80 & I & VS1 & I & AGS & I & I & 3031 & 1\\\\\n\t 0.80 & G & SI1 & I & GIA & X & V & 3035 & 1\\\\\n\t 0.81 & H & SI1 & V & GIA & G & V & 3036 & 1\\\\\n\t 0.91 & H & SI2 & G & GIA & V & G & 3038 & 1\\\\\n\t 0.83 & D & SI2 & G & GIA & G & G & 3041 & 1\\\\\n\t 0.83 & I & VS2 & V & GIA & G & G & 3041 & 1\\\\\n\t 0.88 & I & SI1 & I & AGS & I & I & 3042 & 1\\\\\n\t 0.90 & G & SI2 & F & GIA & V & V & 3043 & 1\\\\\n\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n\t 0.3 & H & SI1 & X & GIA & X & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & V & GIA & V & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & V & GIA & X & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & I & GIA & G & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & V & GIA & X & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & V & GIA & V & X & 547 & 3\\\\\n\t 0.3 & I & VS2 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & X & GIA & X & X & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & V & GIA & X & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & V & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & X & GIA & V & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & X & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & X & GIA & V & X & 547 & 3\\\\\n\t 0.3 & I & VS2 & X & GIA & X & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & G & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & G & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & X & V & 547 & 3\\\\\n\t 0.3 & I & VS2 & I & GIA & X & V & 547 & 3\\\\\n\t 0.3 & K & VVS1 & X & GIA & X & V & 547 & 3\\\\\n\t 0.3 & K & VVS1 & V & GIA & X & V & 547 & 3\\\\\n\t 0.3 & H & SI1 & G & GIA & V & V & 559 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & V & 559 & 3\\\\\n\t 0.3 & H & SI1 & V & GIA & X & X & 559 & 3\\\\\n\t 0.3 & H & SI1 & X & GIA & V & X & 559 & 3\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 440 × 9\n\n| Carat &lt;dbl&gt; | Colour &lt;chr&gt; | Clarity &lt;chr&gt; | Cut &lt;chr&gt; | Certification &lt;chr&gt; | Polish &lt;chr&gt; | Symmetry &lt;chr&gt; | Price &lt;dbl&gt; | Wholesaler &lt;dbl&gt; |\n|---|---|---|---|---|---|---|---|---|\n| 0.92 | I | SI2 | G | AGS | V | V | 3000 | 1 |\n| 0.92 | I | SI2 | V | AGS | G | G | 3000 | 1 |\n| 0.82 | F | SI2 | I | GIA | X | X | 3004 | 1 |\n| 0.81 | G | SI1 | I | GIA | X | V | 3004 | 1 |\n| 0.90 | J | VS2 | V | GIA | V | V | 3006 | 1 |\n| 0.87 | F | SI2 | I | AGS | G | V | 3007 | 1 |\n| 0.80 | D | SI2 | I | GIA | V | V | 3008 | 1 |\n| 0.84 | F | SI1 | G | GIA | V | V | 3010 | 1 |\n| 0.80 | D | SI2 | V | GIA | V | V | 3012 | 1 |\n| 0.80 | D | SI2 | V | GIA | V | X | 3012 | 1 |\n| 0.85 | G | SI2 | I | GIA | V | V | 3014 | 1 |\n| 0.83 | G | SI2 | I | GIA | X | X | 3014 | 1 |\n| 0.82 | H | VS1 | G | AGS | G | V | 3015 | 1 |\n| 0.82 | G | SI1 | I | GIA | X | X | 3015 | 1 |\n| 0.80 | F | SI1 | V | GIA | V | V | 3022 | 1 |\n| 0.91 | J | SI1 | V | GIA | V | V | 3023 | 1 |\n| 0.81 | F | SI1 | V | AGS | V | V | 3027 | 1 |\n| 0.90 | I | SI1 | V | GIA | X | V | 3028 | 1 |\n| 0.81 | E | SI2 | I | GIA | V | X | 3029 | 1 |\n| 0.81 | E | SI2 | I | GIA | X | X | 3029 | 1 |\n| 0.81 | E | SI2 | I | GIA | G | G | 3031 | 1 |\n| 0.80 | I | VS1 | I | AGS | I | I | 3031 | 1 |\n| 0.80 | I | VS1 | I | AGS | I | I | 3031 | 1 |\n| 0.80 | G | SI1 | I | GIA | X | V | 3035 | 1 |\n| 0.81 | H | SI1 | V | GIA | G | V | 3036 | 1 |\n| 0.91 | H | SI2 | G | GIA | V | G | 3038 | 1 |\n| 0.83 | D | SI2 | G | GIA | G | G | 3041 | 1 |\n| 0.83 | I | VS2 | V | GIA | G | G | 3041 | 1 |\n| 0.88 | I | SI1 | I | AGS | I | I | 3042 | 1 |\n| 0.90 | G | SI2 | F | GIA | V | V | 3043 | 1 |\n| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n| 0.3 | H | SI1 | X | GIA | X | V | 547 | 3 |\n| 0.3 | H | SI1 | V | GIA | V | V | 547 | 3 |\n| 0.3 | H | SI1 | V | GIA | X | V | 547 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | V | 547 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | V | 547 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | V | 547 | 3 |\n| 0.3 | H | SI1 | I | GIA | G | V | 547 | 3 |\n| 0.3 | H | SI1 | V | GIA | X | V | 547 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | V | GIA | V | X | 547 | 3 |\n| 0.3 | I | VS2 | X | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | X | GIA | X | X | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | V | GIA | X | V | 547 | 3 |\n| 0.3 | I | VS2 | V | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | X | GIA | V | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | X | V | 547 | 3 |\n| 0.3 | I | VS2 | X | GIA | V | X | 547 | 3 |\n| 0.3 | I | VS2 | X | GIA | X | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | G | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | G | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | X | V | 547 | 3 |\n| 0.3 | I | VS2 | I | GIA | X | V | 547 | 3 |\n| 0.3 | K | VVS1 | X | GIA | X | V | 547 | 3 |\n| 0.3 | K | VVS1 | V | GIA | X | V | 547 | 3 |\n| 0.3 | H | SI1 | G | GIA | V | V | 559 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | V | 559 | 3 |\n| 0.3 | H | SI1 | V | GIA | X | X | 559 | 3 |\n| 0.3 | H | SI1 | X | GIA | V | X | 559 | 3 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 440 × 9</caption>\n",
"<thead>\n",
"\t<tr><th scope=col>Carat</th><th scope=col>Colour</th><th scope=col>Clarity</th><th scope=col>Cut</th><th scope=col>Certification</th><th scope=col>Polish</th><th scope=col>Symmetry</th><th scope=col>Price</th><th scope=col>Wholesaler</th></tr>\n",
"\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><td>0.92</td><td>I</td><td>SI2</td><td>G</td><td>AGS</td><td>V</td><td>V</td><td>3000</td><td>1</td></tr>\n",
"\t<tr><td>0.92</td><td>I</td><td>SI2</td><td>V</td><td>AGS</td><td>G</td><td>G</td><td>3000</td><td>1</td></tr>\n",
"\t<tr><td>0.82</td><td>F</td><td>SI2</td><td>I</td><td>GIA</td><td>X</td><td>X</td><td>3004</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>G</td><td>SI1</td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>3004</td><td>1</td></tr>\n",
"\t<tr><td>0.90</td><td>J</td><td>VS2</td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>3006</td><td>1</td></tr>\n",
"\t<tr><td>0.87</td><td>F</td><td>SI2</td><td>I</td><td>AGS</td><td>G</td><td>V</td><td>3007</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>D</td><td>SI2</td><td>I</td><td>GIA</td><td>V</td><td>V</td><td>3008</td><td>1</td></tr>\n",
"\t<tr><td>0.84</td><td>F</td><td>SI1</td><td>G</td><td>GIA</td><td>V</td><td>V</td><td>3010</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>D</td><td>SI2</td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>3012</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>D</td><td>SI2</td><td>V</td><td>GIA</td><td>V</td><td>X</td><td>3012</td><td>1</td></tr>\n",
"\t<tr><td>0.85</td><td>G</td><td>SI2</td><td>I</td><td>GIA</td><td>V</td><td>V</td><td>3014</td><td>1</td></tr>\n",
"\t<tr><td>0.83</td><td>G</td><td>SI2</td><td>I</td><td>GIA</td><td>X</td><td>X</td><td>3014</td><td>1</td></tr>\n",
"\t<tr><td>0.82</td><td>H</td><td>VS1</td><td>G</td><td>AGS</td><td>G</td><td>V</td><td>3015</td><td>1</td></tr>\n",
"\t<tr><td>0.82</td><td>G</td><td>SI1</td><td>I</td><td>GIA</td><td>X</td><td>X</td><td>3015</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>F</td><td>SI1</td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>3022</td><td>1</td></tr>\n",
"\t<tr><td>0.91</td><td>J</td><td>SI1</td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>3023</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>F</td><td>SI1</td><td>V</td><td>AGS</td><td>V</td><td>V</td><td>3027</td><td>1</td></tr>\n",
"\t<tr><td>0.90</td><td>I</td><td>SI1</td><td>V</td><td>GIA</td><td>X</td><td>V</td><td>3028</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>E</td><td>SI2</td><td>I</td><td>GIA</td><td>V</td><td>X</td><td>3029</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>E</td><td>SI2</td><td>I</td><td>GIA</td><td>X</td><td>X</td><td>3029</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>E</td><td>SI2</td><td>I</td><td>GIA</td><td>G</td><td>G</td><td>3031</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>I</td><td>VS1</td><td>I</td><td>AGS</td><td>I</td><td>I</td><td>3031</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>I</td><td>VS1</td><td>I</td><td>AGS</td><td>I</td><td>I</td><td>3031</td><td>1</td></tr>\n",
"\t<tr><td>0.80</td><td>G</td><td>SI1</td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>3035</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>H</td><td>SI1</td><td>V</td><td>GIA</td><td>G</td><td>V</td><td>3036</td><td>1</td></tr>\n",
"\t<tr><td>0.91</td><td>H</td><td>SI2</td><td>G</td><td>GIA</td><td>V</td><td>G</td><td>3038</td><td>1</td></tr>\n",
"\t<tr><td>0.83</td><td>D</td><td>SI2</td><td>G</td><td>GIA</td><td>G</td><td>G</td><td>3041</td><td>1</td></tr>\n",
"\t<tr><td>0.83</td><td>I</td><td>VS2</td><td>V</td><td>GIA</td><td>G</td><td>G</td><td>3041</td><td>1</td></tr>\n",
"\t<tr><td>0.88</td><td>I</td><td>SI1</td><td>I</td><td>AGS</td><td>I</td><td>I</td><td>3042</td><td>1</td></tr>\n",
"\t<tr><td>0.90</td><td>G</td><td>SI2</td><td>F</td><td>GIA</td><td>V</td><td>V</td><td>3043</td><td>1</td></tr>\n",
"\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>V</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>I</td><td>GIA</td><td>G</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>V</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>V</td><td>GIA</td><td>V</td><td>X</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>X</td><td>GIA</td><td>X</td><td>X</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>V</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>X</td><td>GIA</td><td>V</td><td>X</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>X</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>G</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>G</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>I</td><td>VS2 </td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>K</td><td>VVS1</td><td>X</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>K</td><td>VVS1</td><td>V</td><td>GIA</td><td>X</td><td>V</td><td>547</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>G</td><td>GIA</td><td>V</td><td>V</td><td>559</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>V</td><td>559</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>V</td><td>GIA</td><td>X</td><td>X</td><td>559</td><td>3</td></tr>\n",
"\t<tr><td>0.3</td><td>H</td><td>SI1 </td><td>X</td><td>GIA</td><td>V</td><td>X</td><td>559</td><td>3</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"id": "UN85rO8PZnv7",
"outputId": "e8dd629f-ee22-4e78-8fa6-1e2edb60fd46"
},
"source": [
"class(df)"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"[1] \"tbl_df\" \"tbl\" \"data.frame\""
],
"text/latex": "\\begin{enumerate*}\n\\item 'tbl\\_df'\n\\item 'tbl'\n\\item 'data.frame'\n\\end{enumerate*}\n",
"text/markdown": "1. 'tbl_df'\n2. 'tbl'\n3. 'data.frame'\n\n\n",
"text/html": [
"<style>\n",
".list-inline {list-style: none; margin:0; padding: 0}\n",
".list-inline>li {display: inline-block}\n",
".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
"</style>\n",
"<ol class=list-inline><li>'tbl_df'</li><li>'tbl'</li><li>'data.frame'</li></ol>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "OhO8YWj0ZDK8",
"outputId": "58bdbe15-d73f-45ba-e182-de39a3527671"
},
"source": [
"df %<>%\n",
" as_tibble() %>%\n",
" print()"
],
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": [
"\u001b[90m# A tibble: 440 x 9\u001b[39m\n",
" Carat Colour Clarity Cut Certification Polish Symmetry Price Wholesaler\n",
" \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m\n",
"\u001b[90m 1\u001b[39m 0.92 I SI2 G AGS V V \u001b[4m3\u001b[24m000 1\n",
"\u001b[90m 2\u001b[39m 0.92 I SI2 V AGS G G \u001b[4m3\u001b[24m000 1\n",
"\u001b[90m 3\u001b[39m 0.82 F SI2 I GIA X X \u001b[4m3\u001b[24m004 1\n",
"\u001b[90m 4\u001b[39m 0.81 G SI1 I GIA X V \u001b[4m3\u001b[24m004 1\n",
"\u001b[90m 5\u001b[39m 0.9 J VS2 V GIA V V \u001b[4m3\u001b[24m006 1\n",
"\u001b[90m 6\u001b[39m 0.87 F SI2 I AGS G V \u001b[4m3\u001b[24m007 1\n",
"\u001b[90m 7\u001b[39m 0.8 D SI2 I GIA V V \u001b[4m3\u001b[24m008 1\n",
"\u001b[90m 8\u001b[39m 0.84 F SI1 G GIA V V \u001b[4m3\u001b[24m010 1\n",
"\u001b[90m 9\u001b[39m 0.8 D SI2 V GIA V V \u001b[4m3\u001b[24m012 1\n",
"\u001b[90m10\u001b[39m 0.8 D SI2 V GIA V X \u001b[4m3\u001b[24m012 1\n",
"\u001b[90m# … with 430 more rows\u001b[39m\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "ddWLKFLrPCDY",
"outputId": "930a331b-8400-4288-cde3-fa62344698fc"
},
"source": [
"is.na(df) #Function to check if there are any missing values"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Carat Colour Clarity Cut Certification Polish Symmetry Price Wholesaler\n",
" [1,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [2,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [3,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [4,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [5,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [6,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [7,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
" [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[11,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[12,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[13,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[14,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[15,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[16,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[17,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[18,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[19,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[20,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[21,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[22,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[23,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[24,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[25,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[26,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[27,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[28,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[29,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[30,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[31,] ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"[32,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[33,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[34,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[35,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[36,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[37,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[38,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[39,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[40,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[41,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[42,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[43,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[44,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[45,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[46,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[47,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[48,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[49,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[50,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[51,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[52,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[53,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[54,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[55,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[56,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[57,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[58,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[59,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[60,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE \n",
"[61,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE "
],
"text/latex": "A matrix: 440 × 9 of type lgl\n\\begin{tabular}{lllllllll}\n Carat & Colour & Clarity & Cut & Certification & Polish & Symmetry & Price & Wholesaler\\\\\n\\hline\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\t FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE & FALSE\\\\\n\\end{tabular}\n",
"text/markdown": "\nA matrix: 440 × 9 of type lgl\n\n| Carat | Colour | Clarity | Cut | Certification | Polish | Symmetry | Price | Wholesaler |\n|---|---|---|---|---|---|---|---|---|\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n| FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE | FALSE |\n\n",
"text/html": [
"<table>\n",
"<caption>A matrix: 440 × 9 of type lgl</caption>\n",
"<thead>\n",
"\t<tr><th scope=col>Carat</th><th scope=col>Colour</th><th scope=col>Clarity</th><th scope=col>Cut</th><th scope=col>Certification</th><th scope=col>Polish</th><th scope=col>Symmetry</th><th scope=col>Price</th><th scope=col>Wholesaler</th></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
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"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"\t<tr><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td><td>FALSE</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 207
},
"id": "4zwNcL55RAf2",
"outputId": "1dd2c101-6193-4032-fc34-4aff46e86061"
},
"source": [
"head(df) #sample dataset"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Carat Colour Clarity Cut Certification Polish Symmetry Price Wholesaler\n",
"1 0.92 I SI2 G AGS V V 3000 1 \n",
"2 0.92 I SI2 V AGS G G 3000 1 \n",
"3 0.82 F SI2 I GIA X X 3004 1 \n",
"4 0.81 G SI1 I GIA X V 3004 1 \n",
"5 0.90 J VS2 V GIA V V 3006 1 \n",
"6 0.87 F SI2 I AGS G V 3007 1 "
],
"text/latex": "A tibble: 6 × 9\n\\begin{tabular}{lllllllll}\n Carat & Colour & Clarity & Cut & Certification & Polish & Symmetry & Price & Wholesaler\\\\\n <dbl> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <dbl> & <dbl>\\\\\n\\hline\n\t 0.92 & I & SI2 & G & AGS & V & V & 3000 & 1\\\\\n\t 0.92 & I & SI2 & V & AGS & G & G & 3000 & 1\\\\\n\t 0.82 & F & SI2 & I & GIA & X & X & 3004 & 1\\\\\n\t 0.81 & G & SI1 & I & GIA & X & V & 3004 & 1\\\\\n\t 0.90 & J & VS2 & V & GIA & V & V & 3006 & 1\\\\\n\t 0.87 & F & SI2 & I & AGS & G & V & 3007 & 1\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 6 × 9\n\n| Carat &lt;dbl&gt; | Colour &lt;chr&gt; | Clarity &lt;chr&gt; | Cut &lt;chr&gt; | Certification &lt;chr&gt; | Polish &lt;chr&gt; | Symmetry &lt;chr&gt; | Price &lt;dbl&gt; | Wholesaler &lt;dbl&gt; |\n|---|---|---|---|---|---|---|---|---|\n| 0.92 | I | SI2 | G | AGS | V | V | 3000 | 1 |\n| 0.92 | I | SI2 | V | AGS | G | G | 3000 | 1 |\n| 0.82 | F | SI2 | I | GIA | X | X | 3004 | 1 |\n| 0.81 | G | SI1 | I | GIA | X | V | 3004 | 1 |\n| 0.90 | J | VS2 | V | GIA | V | V | 3006 | 1 |\n| 0.87 | F | SI2 | I | AGS | G | V | 3007 | 1 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 6 × 9</caption>\n",
"<thead>\n",
"\t<tr><th scope=col>Carat</th><th scope=col>Colour</th><th scope=col>Clarity</th><th scope=col>Cut</th><th scope=col>Certification</th><th scope=col>Polish</th><th scope=col>Symmetry</th><th scope=col>Price</th><th scope=col>Wholesaler</th></tr>\n",
"\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><td>0.92</td><td>I</td><td>SI2</td><td>G</td><td>AGS</td><td>V</td><td>V</td><td>3000</td><td>1</td></tr>\n",
"\t<tr><td>0.92</td><td>I</td><td>SI2</td><td>V</td><td>AGS</td><td>G</td><td>G</td><td>3000</td><td>1</td></tr>\n",
"\t<tr><td>0.82</td><td>F</td><td>SI2</td><td>I</td><td>GIA</td><td>X</td><td>X</td><td>3004</td><td>1</td></tr>\n",
"\t<tr><td>0.81</td><td>G</td><td>SI1</td><td>I</td><td>GIA</td><td>X</td><td>V</td><td>3004</td><td>1</td></tr>\n",
"\t<tr><td>0.90</td><td>J</td><td>VS2</td><td>V</td><td>GIA</td><td>V</td><td>V</td><td>3006</td><td>1</td></tr>\n",
"\t<tr><td>0.87</td><td>F</td><td>SI2</td><td>I</td><td>AGS</td><td>G</td><td>V</td><td>3007</td><td>1</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3q5nU5hQT6uC"
},
"source": [
"# Univariate Analysis"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 386
},
"id": "lKTbzo0vRHrC",
"outputId": "375e3274-bf95-41cb-904f-074b5c3aaafb"
},
"source": [
"summary(df) # summary gives descriptive statistics of all the continuous and categorical variables"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Carat Colour Clarity Cut \n",
" Min. :0.0900 Length:440 Length:440 Length:440 \n",
" 1st Qu.:0.3000 Class :character Class :character Class :character \n",
" Median :0.8100 Mode :character Mode :character Mode :character \n",
" Mean :0.6693 \n",
" 3rd Qu.:1.0100 \n",
" Max. :1.5800 \n",
" Certification Polish Symmetry Price \n",
" Length:440 Length:440 Length:440 Min. : 160 \n",
" Class :character Class :character Class :character 1st Qu.: 520 \n",
" Mode :character Mode :character Mode :character Median :2169 \n",
" Mean :1717 \n",
" 3rd Qu.:3012 \n",
" Max. :3145 \n",
" Wholesaler \n",
" Min. :1.000 \n",
" 1st Qu.:2.000 \n",
" Median :2.000 \n",
" Mean :2.318 \n",
" 3rd Qu.:3.000 \n",
" Max. :3.000 "
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Ka_z0ahQRPcg",
"outputId": "f153dad4-56d6-444f-f651-375ea6c0423c"
},
"source": [
"str(df) #displays the structure of the dataset"
],
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"text": [
"tibble [440 × 9] (S3: tbl_df/tbl/data.frame)\n",
" $ Carat : num [1:440] 0.92 0.92 0.82 0.81 0.9 0.87 0.8 0.84 0.8 0.8 ...\n",
" $ Colour : chr [1:440] \"I\" \"I\" \"F\" \"G\" ...\n",
" $ Clarity : chr [1:440] \"SI2\" \"SI2\" \"SI2\" \"SI1\" ...\n",
" $ Cut : chr [1:440] \"G\" \"V\" \"I\" \"I\" ...\n",
" $ Certification: chr [1:440] \"AGS\" \"AGS\" \"GIA\" \"GIA\" ...\n",
" $ Polish : chr [1:440] \"V\" \"G\" \"X\" \"X\" ...\n",
" $ Symmetry : chr [1:440] \"V\" \"G\" \"X\" \"V\" ...\n",
" $ Price : num [1:440] 3000 3000 3004 3004 3006 ...\n",
" $ Wholesaler : num [1:440] 1 1 1 1 1 1 1 1 1 1 ...\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "J48kU6N3WJ1z",
"outputId": "b897f0f5-8fc6-4b4e-c62e-0381c5b3c1ea"
},
"source": [
"glimpse(df) #Glimpse of whole dataset"
],
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": [
"Rows: 440\n",
"Columns: 9\n",
"$ Carat \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m 0.92, 0.92, 0.82, 0.81, 0.90, 0.87, 0.80, 0.84, 0.80, 0…\n",
"$ Colour \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"I\", \"I\", \"F\", \"G\", \"J\", \"F\", \"D\", \"F\", \"D\", \"D\", \"G\", …\n",
"$ Clarity \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"SI2\", \"SI2\", \"SI2\", \"SI1\", \"VS2\", \"SI2\", \"SI2\", \"SI1\",…\n",
"$ Cut \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"G\", \"V\", \"I\", \"I\", \"V\", \"I\", \"I\", \"G\", \"V\", \"V\", \"I\", …\n",
"$ Certification \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"AGS\", \"AGS\", \"GIA\", \"GIA\", \"GIA\", \"AGS\", \"GIA\", \"GIA\",…\n",
"$ Polish \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"V\", \"G\", \"X\", \"X\", \"V\", \"G\", \"V\", \"V\", \"V\", \"V\", \"V\", …\n",
"$ Symmetry \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m \"V\", \"G\", \"X\", \"V\", \"V\", \"V\", \"V\", \"V\", \"V\", \"X\", \"V\", …\n",
"$ Price \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m 3000, 3000, 3004, 3004, 3006, 3007, 3008, 3010, 3012, 3…\n",
"$ Wholesaler \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ly2EIK6GRWYd"
},
"source": [
"library(ggplot2)"
],
"execution_count": 17,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3276VuTZULHN"
},
"source": [
"library(pander)\n",
"library(forcats)"
],
"execution_count": 18,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "xoakSQi2sZqK",
"outputId": "d207b7ea-9462-422f-9365-d2cd22dd25a6"
},
"source": [
"# plot the histogram of frequency of Diamond price. \n",
"ggplot(df, aes(x = Price)) +\n",
" geom_histogram(fill = \"cornflowerblue\", \n",
" color = \"white\", \n",
" binwidth = 675) + \n",
" labs(\n",
" x = \"Price\")\n",
"\n",
"\n",
"#Diamonds in the range of $500-$1000 are highest in count. While less than $500 are lowest in count."
],
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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r9AGiyQQOobSIMFEkh9A2mwQAKpbyAN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\nHRXD8mUSu2cAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "qE8YHt1dxLe1",
"outputId": "376fd589-3641-495d-a1e0-1cf395ba2fe4"
},
"source": [
"# plot the histogram of frequency of Carat of Diamond. \n",
"ggplot(df, aes(x = Carat)) +\n",
" geom_histogram(fill = \"cornflowerblue\", \n",
" color = \"white\", \n",
" binwidth = 0.15) + \n",
" labs(\n",
" x = \"Carat\")\n",
"\n",
"#Diamonds with carat of 0.25 g are highest in count while 1.1 g are second highest in count."
],
"execution_count": 20,
"outputs": [
{
"output_type": "display_data",
"data": {
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WEHAKcO12ABAAQh7AAAghB2AABBCDsAgCCEHQBAEMIOACAIYQcAEISwAwAIQtgB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\ngCCEHQBAEMIOACCI/wt2+pbynSF5wwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "dbZt1lg29tdG",
"outputId": "b4516d49-9c37-400e-a77d-b6fdcd897a30"
},
"source": [
"# plot the histogram of frequency of Wholesaler who has the diamond. \n",
"ggplot(df, aes(x = Wholesaler)) +\n",
" geom_histogram(fill = \"cornflowerblue\", \n",
" color = \"white\", \n",
" binwidth = 0.15) + \n",
" labs(\n",
" x = \"Wholesaler\")\n",
"\n",
" #Wholesaler 3 has the highest number of diamonds while 1 has the lowest."
],
"execution_count": 21,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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eVy2Ww2rhnikkqlamtrS6VS3IPEIJVK1dXVxT1FpZX39nQ6hoeLIfvwHUVRVVVV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\nEAhhBwAQCGEHABAIYQcAEIj/H+7X3+MWnJt3AAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 140
},
"id": "4VJj3Oi4vPxF",
"outputId": "a06f3a23-7edd-4e64-8145-f814a6dd8502"
},
"source": [
"df %>% select(Price) %>% summary() #Descriptive statistics of continious variable price"
],
"execution_count": 22,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Price \n",
" Min. : 160 \n",
" 1st Qu.: 520 \n",
" Median :2169 \n",
" Mean :1717 \n",
" 3rd Qu.:3012 \n",
" Max. :3145 "
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 140
},
"id": "CWTJMYmYvUvG",
"outputId": "b689d916-e8e2-4f3a-a202-fab1bd51d7f0"
},
"source": [
"df %>% select(Carat) %>% summary() #Descriptive statistics of continious variable carat"
],
"execution_count": 23,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Carat \n",
" Min. :0.0900 \n",
" 1st Qu.:0.3000 \n",
" Median :0.8100 \n",
" Mean :0.6693 \n",
" 3rd Qu.:1.0100 \n",
" Max. :1.5800 "
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 140
},
"id": "0OyoAcSj-Dwa",
"outputId": "bc302df4-e455-48c0-d7b5-66a7d029ef0e"
},
"source": [
"df %>% select(Wholesaler) %>% summary() #Descriptive statistics of continious variable Wholesaler"
],
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Wholesaler \n",
" Min. :1.000 \n",
" 1st Qu.:2.000 \n",
" Median :2.000 \n",
" Mean :2.318 \n",
" 3rd Qu.:3.000 \n",
" Max. :3.000 "
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 271
},
"id": "_4vs_CAGxjPj",
"outputId": "c688454c-7fea-4745-909f-f3878dc18512"
},
"source": [
"df %>% count(Colour) #Descriptive statistics of categorical variable colour\n"
],
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Colour n \n",
"1 D 20\n",
"2 E 54\n",
"3 F 58\n",
"4 G 43\n",
"5 H 71\n",
"6 I 79\n",
"7 J 72\n",
"8 K 31\n",
"9 L 12"
],
"text/latex": "A tibble: 9 × 2\n\\begin{tabular}{r|ll}\n & Colour & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & D & 20\\\\\n\t2 & E & 54\\\\\n\t3 & F & 58\\\\\n\t4 & G & 43\\\\\n\t5 & H & 71\\\\\n\t6 & I & 79\\\\\n\t7 & J & 72\\\\\n\t8 & K & 31\\\\\n\t9 & L & 12\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 9 × 2\n\n| <!--/--> | Colour &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | D | 20 |\n| 2 | E | 54 |\n| 3 | F | 58 |\n| 4 | G | 43 |\n| 5 | H | 71 |\n| 6 | I | 79 |\n| 7 | J | 72 |\n| 8 | K | 31 |\n| 9 | L | 12 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 9 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Colour</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>D</td><td>20</td></tr>\n",
"\t<tr><th scope=row>2</th><td>E</td><td>54</td></tr>\n",
"\t<tr><th scope=row>3</th><td>F</td><td>58</td></tr>\n",
"\t<tr><th scope=row>4</th><td>G</td><td>43</td></tr>\n",
"\t<tr><th scope=row>5</th><td>H</td><td>71</td></tr>\n",
"\t<tr><th scope=row>6</th><td>I</td><td>79</td></tr>\n",
"\t<tr><th scope=row>7</th><td>J</td><td>72</td></tr>\n",
"\t<tr><th scope=row>8</th><td>K</td><td>31</td></tr>\n",
"\t<tr><th scope=row>9</th><td>L</td><td>12</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "fz_H4a2SyF4l",
"outputId": "380ba2a1-7ae8-476f-ac75-d0b344789e40"
},
"source": [
"#Barplot of Diamonds by their colour\n",
"\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Colour, fill = Colour)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"#Diamonds who are near colorless are highest in count while the ones who are very light yellow in color are lowest in count."
],
"execution_count": 26,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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AIJpEAggQRSIJBAAikQSCCBFAgkkEAK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\nQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 186
},
"id": "2pHDxQaNzH8U",
"outputId": "7c5c1ffc-9de4-424d-ef68-b2e1f27fa27d"
},
"source": [
"df %>% count(Cut) #Descriptive Statistics of categorical variable Cut "
],
"execution_count": 27,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Cut n \n",
"1 F 59\n",
"2 G 49\n",
"3 I 86\n",
"4 V 97\n",
"5 X 149"
],
"text/latex": "A tibble: 5 × 2\n\\begin{tabular}{r|ll}\n & Cut & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & F & 59\\\\\n\t2 & G & 49\\\\\n\t3 & I & 86\\\\\n\t4 & V & 97\\\\\n\t5 & X & 149\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 5 × 2\n\n| <!--/--> | Cut &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | F | 59 |\n| 2 | G | 49 |\n| 3 | I | 86 |\n| 4 | V | 97 |\n| 5 | X | 149 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 5 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Cut</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>F</td><td> 59</td></tr>\n",
"\t<tr><th scope=row>2</th><td>G</td><td> 49</td></tr>\n",
"\t<tr><th scope=row>3</th><td>I</td><td> 86</td></tr>\n",
"\t<tr><th scope=row>4</th><td>V</td><td> 97</td></tr>\n",
"\t<tr><th scope=row>5</th><td>X</td><td>149</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "baJYKo_IzahO",
"outputId": "4f87f25e-6023-44f2-ac00-da698ce6e760"
},
"source": [
"#Barplot of Diamonds by their cut\n",
"\n",
"\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Cut, fill = Cut)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"#Diamonds with excellent cut code are highest in count while ones with good cut are lowest in count"
],
"execution_count": 28,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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KQwIGkBCUhhQNICEpDCgKQFJCCFAUkLSEAKA5IWkIAUBiQtIAEpDEhaQAJSGJC0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\nCQQkogkEJKIJBCSiCQQkogkEJKIJ9P+A1lBNOHu6tQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 186
},
"id": "O_nvb4tEzkzu",
"outputId": "5e3e597e-6d37-43bc-92cb-750805fdf17a"
},
"source": [
"df %>% count(Certification) #Descriptive Statistics of categorical variable certification"
],
"execution_count": 29,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Certification n \n",
"1 AGS 12\n",
"2 DOW 1\n",
"3 EGL 119\n",
"4 GIA 265\n",
"5 IGI 43"
],
"text/latex": "A tibble: 5 × 2\n\\begin{tabular}{r|ll}\n & Certification & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & AGS & 12\\\\\n\t2 & DOW & 1\\\\\n\t3 & EGL & 119\\\\\n\t4 & GIA & 265\\\\\n\t5 & IGI & 43\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 5 × 2\n\n| <!--/--> | Certification &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | AGS | 12 |\n| 2 | DOW | 1 |\n| 3 | EGL | 119 |\n| 4 | GIA | 265 |\n| 5 | IGI | 43 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 5 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Certification</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>AGS</td><td> 12</td></tr>\n",
"\t<tr><th scope=row>2</th><td>DOW</td><td> 1</td></tr>\n",
"\t<tr><th scope=row>3</th><td>EGL</td><td>119</td></tr>\n",
"\t<tr><th scope=row>4</th><td>GIA</td><td>265</td></tr>\n",
"\t<tr><th scope=row>5</th><td>IGI</td><td> 43</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "4kNcGPMpzvu7",
"outputId": "7174bbee-5613-4b27-a4da-31b44a75cf28"
},
"source": [
"#Bar plot of Diamond by its certification\n",
"\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Certification, fill = Certification)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"#Dimaonds with certification code GIA are highest in count while ones with DOW are lowest in count"
],
"execution_count": 30,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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JcipCCE5KNeipCCEJKPeilCCkJIPuql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\nSWQdvRBNAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 207
},
"id": "SgzXUlh8z7gJ",
"outputId": "bb849799-b39d-4a84-e24e-0866b0ba507b"
},
"source": [
"df %>% count(Polish) #Descriptive Statistics of categorical variable polish"
],
"execution_count": 31,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Polish n \n",
"1 F 5\n",
"2 G 165\n",
"3 I 5\n",
"4 v 1\n",
"5 V 203\n",
"6 X 61"
],
"text/latex": "A tibble: 6 × 2\n\\begin{tabular}{r|ll}\n & Polish & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & F & 5\\\\\n\t2 & G & 165\\\\\n\t3 & I & 5\\\\\n\t4 & v & 1\\\\\n\t5 & V & 203\\\\\n\t6 & X & 61\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 6 × 2\n\n| <!--/--> | Polish &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | F | 5 |\n| 2 | G | 165 |\n| 3 | I | 5 |\n| 4 | v | 1 |\n| 5 | V | 203 |\n| 6 | X | 61 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 6 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Polish</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>F</td><td> 5</td></tr>\n",
"\t<tr><th scope=row>2</th><td>G</td><td>165</td></tr>\n",
"\t<tr><th scope=row>3</th><td>I</td><td> 5</td></tr>\n",
"\t<tr><th scope=row>4</th><td>v</td><td> 1</td></tr>\n",
"\t<tr><th scope=row>5</th><td>V</td><td>203</td></tr>\n",
"\t<tr><th scope=row>6</th><td>X</td><td> 61</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "IBHfZMF30Hba",
"outputId": "fdc82645-f1d5-4e04-93a5-fdcb2b089c3c"
},
"source": [
"\n",
"#Barplot of Diamonds by its polish\n",
"\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Polish, fill = Polish)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"#Diamonds with very good polish are highest in count while ones with fair and ideal polish are lowest."
],
"execution_count": 32,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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wQSSIHFIIEEUmAxSCCBFFgMEkggBRaD\nBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEE\nUmAxSCCBFFgMEkggBRaDBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRY\nDBJIIAUWgwQSSIHFIF2IkFZ/ef71Q68GCaQBA6kf0qqH5l7O3PatIIE0YCA9H9Kq5/pJkEAa\nMJCeD2nfu1atvarbm97+VZBAGjCQng+pql77X4MCAgmkhUDqh1QeSEMG0oUI6fDmV71s/k0S\nSCANGEj9kDZ88y9vnnuXdBVIIA0YSP2QvuujgwICCaSFQOqH9IpnQAKpMJD6If3cP4MEUmEg\n9UN6+DV7QQKpLJD6If3M9616xQ/MBRJIAwZSP6Sf++XFQAJpwEDqh1QeSEMGEkggBRaDdCFC\n+q7FvhMkkAYMpH5Ia+d6zct/5FqQQBowkPohLfTUz38CJJAGDKRaSNVDq0ECacBAqof01MtB\nAmnAQKqFNPt73wsSSAMGUj+kH5/rR7571VtBAmnAQKqD9BO/9K5Tz/3YoZvXdl9O7Ny88bbD\nz72CBNJ8IPVDeoE+s2nXHKTtWw8+ece1586/ggTSfCC9EKRnP3Hnn+2e6PmB+565vwtpfOxA\n51ejdfsWX0ECaSGQ+iGdu/lbun9hw7e/o/cH5yDtXT/b+Xjd3YuvnQ9HHuz0tWOhTlYzgac0\nDCmweLKaDjylzdsNQwosnqqmAk+Za+KFIb1j1SV//vefeO9rV/3V8yHtvrL7zVvuXHztfNiz\nutODdV8StlPDkNr+dFdEDUNq+9Nd2vn3OEshvfqm+ddrev+m1XlIW7rf7EBaeO18+Mr7Oh08\nGWq6Oh14SsOQAounq1OBpyyvmcjthiEFFs9UM4GnzDX5wpC+7b7510/2/oHsHKQH5r+ku2fx\ndfEfeo80ZN4jFRZY/NK/R/r2j8+/fvQ7ng/pyNhjVXV87f7FV5BAWgikfkg/+4tzf4A0/Su/\ncP6Hjo7fu3Z8fLq6/YaDh7bdNHv+FSSQ5gOpH9Inv+n7f33771z9qpd96vwPXbWm299Vk7s2\nXbaj89MWX0ECaT6Q+iFVf/vD3d/+/tFPVoMG0pCBdEFCqqonP/fQ0wMzAmnoQLogIT317s6H\nZ3r+u3QggfQigdQP6T9f2f3/efn4qlceAAmkAQOpH9K6H/pc9+XLP/Q6kEAaMJD6IX3PX8y/\nvtffIgTSoIHUD+nl759//ZtXgATSgIHUD+mnX3u2+zLxUz8DEkgDBlI/pN3f9IPXbnv7lu95\n2W6QQBowkPohVfeu7v6B7I/5A1mQBg6kF4BUVc9+8UsT1eCBNGQgXaCQCgNpyEACCaTAYpBA\nAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotBAgmkwGKQQAIpsBgkkEAK\nLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotB\nAgmkwGKQQAIpsBgkkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEAC\nKbAYJJBACiwGCSSQAotBAgmkwGKQQAIpsBgkkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAos\nBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotBAgmkwGKQQAIpsBgkkEAKLAYJJJACi0EC\nCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotBAgmkwGKQQAIp\nsBgkkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwG\nCSSQAotBAgmkwGKQQAIpsBgkkEAKLAYJpG4njoU6Wc0EntIwpMDiyWo68JQ2bzcMKbB4qpoK\nPGWuiRSk6VSnqjOBpzQMKbD4dOTzXu7t04GnNAwpsDjzec+XguRLuyHzpV1hgcUr8Us7kIYM\nJJBACiwGCSSQAotBAgmkwGKQQAIpsBgkkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkk\nkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotBAgmkwGKQQAIpsBgkkEAKLAYJJJACi0ECCaTA\nYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQAotBAgmkwGKQQAIpsBgk\nkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBikEACKbAYJJBACiwGCSSQ\nAotBAgmkwGKQQAIpsBgkkEAKLAYJJJACi0ECCaTAYpBAAimwGCSQQAosBgkkkAKLQQIJpMBi\nkEACKbAYpGEg/W+z9X/yIIEEEki1gVQSSCDVBFJJIIFUE0glgQRSTSCVBBJINYFUEkgg1QRS\nSSCBVBNIJYEEUk0glQQSSDWBVBJIINUEUkkggVQTSCWBBFJNIJUEEkg1gVQSSCDVBFJJIIFU\nE0glgQRSTSCVBBJINYFUEkgg1QRSSSCBVBNIJYEEUk0glQQSSDWBVBJIINUEUkkggVQTSCWB\nBFJNIJUEEkg1gVQSSCDVBFJJIIFUE0glgQRSTSCVBBJINYFUEkgg1QRSSSCBVBNIJYEEUk0g\nlQQSSDWBVBJILUC6fk2nDVV1YufmjbcdBgmkxUAqgrTl452fdqSqtm89+OQd154DCaSFQCqC\n9PqH5l7Gxw50flVatw8kkBYCqQTS6TXvfssbdxyq9q6f7Xzvurs7H6YOdRo/Gmqimg48pWFI\ngcUnqqnAU5bXyWoy8JSGIS253TCk/k/+WCmkY1e889FHt11xcveV3e/dcmfnw57VnR4c7Kc3\nVcOQ2v50V0QNQ1pyu2FI/Z/8+fc4Rb9rN7Xh3t1but+Yg7R/a6dHZkKdrs4GntIwpMDi09WZ\nwFPavN0wpCW3G4b0Ap/9siBVb77rgfkv7e5Z/BHvkYbMe6TCltxuGFL/J1/8Hunx95ypqukN\ne46MPVZVx9fuBwmkhUAqgTSxcddTh3Zsmaluv+HgoW03zYIE0kIglUCqDtx66eXbn66qyV2b\nLtvx3E8HachAusgg1QTSkIEEEkiBxSCBBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEEUmAxSCCB\nFFgMEkggBRaDBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRYDBJIIAUW\ngwQSSIHFIIEEUmAxSCCBFFgMEkggBRaDBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCB\nBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEEUmAxSCCBFFgMEkggBRaDBBJIgcUggQRSYDFIIIEU\nWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEEUmAxSCCBFFgMEkggBRaD\nBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEE\nUmAxSCCBFFgMEkggBRaDBBJIgcUggQRSYDFIIIEUWAwSSCAFFoMEEkiBxSCBBFJgMUgggRRY\nDBJIIAUWgwQSSIHFIIEEUmAxSCCBFFgMEkggBRaDBBJIgcUggQRSYDFIIIEUWAwSSCAFFoME\nEkiBxSCBBFJgMUgggRRYDBJIIAUWgwQSSIHFIIEEUmAxSCCBFFgMEkggBRaDBBJIgcUggQRS\nYDFIIHU7/myo49VU4CkNQwosnqgmA09ZXieqk4GnNAxpye2GIfV/8l9PQTp1JtTZ6lzgKQ1D\nCizOfN5t3m4Y0pLbDUPq/+RPpyD50m7IfGlX2JLbDUPq/+S9RwIJJJBqA6kkkECqCaSSQAKp\nJpBKAgmkmkAqCSSQagKpJJBAqgmkkkACqSaQSgIJpJpAKgkkkGoCqSSQQKoJpJJAAqkmkEoC\nCaSaQCoJJJBqAqkkkECqCaSSQAKpJpBKAgmkmkAqCSSQagKpJJBAqgmkkkACqSaQSgIJpJpA\nKgkkkGoCqSSQQKoJpJJAAqkmkEoCCaSaQCoJJJBqAqkkkECqCaSSQAKpJpBKAgmkmkAqCSSQ\nagKpJJBAqgmkkkACqSaQSgIJpJpAKgkkkGoCqSSQQKoJpJJAAqkmkEoCCaSaQCoJJJBqAqkk\nkECqCaSSQAKpJpBKAgmkmkAqCSSQagKpJJBAqgmkkkACqSaQSgIJpJpAKgkkkGoCqSSQQKoJ\npJJAAqkmkEoCCaSaQCoJJJBqAqkkkECqCaSSQAKpJpBKAgmkmkAqCSSQagKpJJBAqgmkkkAC\nqSaQSgIJpJpAKgkkkGoCqSSQQKoJpJJAAqkmkEoCCaSaQCoJJJBqAqkkkECqCaSSQAKpJpBK\nAgmkmkAqCSSQagKpJJBAqgmkkkACqSaQSgIJpJpAKgkkkGoCqSSQVjSk/2u2JbfbhPQNzTY0\nAJBAAgmkuUACCSSQQALpuUACCaTAU0ACCaTAU0ACCaTAU0ACCaTAU0ACCaTAU0ACCaTAU0AC\nCaTAU0ACCaTAU0ACCaTAU0BaFqQTOzdvvO0wSCAtBtKyIG3fevDJO649B9KKgvSNzQbS0JDG\nxw50flVatw8kkEAaAtLe9bOdj9fdDRJIIA0BafeV3Y+33Nn58Nlf7PTwbF8NQ1pyu2FIS243\nDGnJ7YYhLbndMKQltxuG1P8f9rPLhrTlPKSHLu/0hTOhzlbnUo9yewRun7swbp9eLqQH5r+0\nu2fx+yvs72xYXsdbvT3qf2fD8jpRnbgQbi/7S7sjY49V1fG1+0GK3QZphG8v/7e/b7/h4KFt\nN82CFLsN0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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 186
},
"id": "Pg-MMe-Y0PWh",
"outputId": "e702e4f6-d503-4882-b721-01b4d8bb8575"
},
"source": [
"df %>% count(Symmetry) #Descriptive Statistics of categorical variable Symmetry"
],
"execution_count": 33,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Symmetry n \n",
"1 F 21\n",
"2 G 157\n",
"3 I 5\n",
"4 V 206\n",
"5 X 51"
],
"text/latex": "A tibble: 5 × 2\n\\begin{tabular}{r|ll}\n & Symmetry & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & F & 21\\\\\n\t2 & G & 157\\\\\n\t3 & I & 5\\\\\n\t4 & V & 206\\\\\n\t5 & X & 51\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 5 × 2\n\n| <!--/--> | Symmetry &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | F | 21 |\n| 2 | G | 157 |\n| 3 | I | 5 |\n| 4 | V | 206 |\n| 5 | X | 51 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 5 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Symmetry</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>F</td><td> 21</td></tr>\n",
"\t<tr><th scope=row>2</th><td>G</td><td>157</td></tr>\n",
"\t<tr><th scope=row>3</th><td>I</td><td> 5</td></tr>\n",
"\t<tr><th scope=row>4</th><td>V</td><td>206</td></tr>\n",
"\t<tr><th scope=row>5</th><td>X</td><td> 51</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "EwC3p3iw0Xgg",
"outputId": "83574e4b-17b4-45b0-f516-6438d5164731"
},
"source": [
"#Barplots of Diamonds by its symmetry\n",
"\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Symmetry, fill = Symmetry)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"#Diamonds with very good symmetry are the highest while ones with ideal symmetry are the lowest."
],
"execution_count": 34,
"outputs": [
{
"output_type": "display_data",
"data": {
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JKOu6GgHkVIOYSk424oqEcRUg4h6bgb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\nuKOBSEgJAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 271
},
"id": "cP_lFYWu0fMt",
"outputId": "1181346d-b603-4131-e56a-f8737e4c1e57"
},
"source": [
"df %>% count(Clarity) #Descriptive Statistics of categorical variable Clarity"
],
"execution_count": 35,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" Clarity n \n",
"1 I1 82\n",
"2 I2 28\n",
"3 SI1 116\n",
"4 SI2 110\n",
"5 SI3 26\n",
"6 VS1 30\n",
"7 VS2 41\n",
"8 VVS1 2\n",
"9 VVS2 5"
],
"text/latex": "A tibble: 9 × 2\n\\begin{tabular}{r|ll}\n & Clarity & n\\\\\n & <chr> & <int>\\\\\n\\hline\n\t1 & I1 & 82\\\\\n\t2 & I2 & 28\\\\\n\t3 & SI1 & 116\\\\\n\t4 & SI2 & 110\\\\\n\t5 & SI3 & 26\\\\\n\t6 & VS1 & 30\\\\\n\t7 & VS2 & 41\\\\\n\t8 & VVS1 & 2\\\\\n\t9 & VVS2 & 5\\\\\n\\end{tabular}\n",
"text/markdown": "\nA tibble: 9 × 2\n\n| <!--/--> | Clarity &lt;chr&gt; | n &lt;int&gt; |\n|---|---|---|\n| 1 | I1 | 82 |\n| 2 | I2 | 28 |\n| 3 | SI1 | 116 |\n| 4 | SI2 | 110 |\n| 5 | SI3 | 26 |\n| 6 | VS1 | 30 |\n| 7 | VS2 | 41 |\n| 8 | VVS1 | 2 |\n| 9 | VVS2 | 5 |\n\n",
"text/html": [
"<table>\n",
"<caption>A tibble: 9 × 2</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Clarity</th><th scope=col>n</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td>I1 </td><td> 82</td></tr>\n",
"\t<tr><th scope=row>2</th><td>I2 </td><td> 28</td></tr>\n",
"\t<tr><th scope=row>3</th><td>SI1 </td><td>116</td></tr>\n",
"\t<tr><th scope=row>4</th><td>SI2 </td><td>110</td></tr>\n",
"\t<tr><th scope=row>5</th><td>SI3 </td><td> 26</td></tr>\n",
"\t<tr><th scope=row>6</th><td>VS1 </td><td> 30</td></tr>\n",
"\t<tr><th scope=row>7</th><td>VS2 </td><td> 41</td></tr>\n",
"\t<tr><th scope=row>8</th><td>VVS1</td><td> 2</td></tr>\n",
"\t<tr><th scope=row>9</th><td>VVS2</td><td> 5</td></tr>\n",
"</tbody>\n",
"</table>\n"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "MdlNaIQO0_oT",
"outputId": "a8c46c70-f3bb-4593-8bfe-432b3b22791c"
},
"source": [
"#Barplots of Diamond by its clarity\n",
"df %>%\n",
" ggplot() + \n",
" geom_bar(aes(Clarity, fill = Clarity)) + \n",
" theme(\n",
" axis.title.x = element_blank(), \n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"#Diamonds with very very few inclusions at 10x are the highest while ones with very very few inclusions at 30x are the lowest"
],
"execution_count": 36,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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5BAigMpNQEJpDiQUhOQQIoDKTUBCaQ4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\nBJJUEEhSQSBJBYEkFQSSVBBIUkH/D4MNWs/jyMKDAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tDlBbWCRky6Q"
},
"source": [
"#Bivariate Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bByO_ouPlK4g"
},
"source": [
"## Categorical vs continuous"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 857
},
"id": "BkbznAYrNSFu",
"outputId": "982b50fa-0d58-425a-f8b0-caa4f56138dc"
},
"source": [
"#Box plot and Density plot of Diamond price by their cut\n",
"df %>%\n",
" ggplot(aes(x = Cut, \n",
" y = Price, \n",
" fill = Cut)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Cut)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Cut ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend\n",
"\n"
],
"execution_count": 37,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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Vun29V2+uGHHw4ePMi8VigUkyZNMm8ngHB2dua6BAfB5/Olf/QtCw9DgCGo+9u4\ncePatWv9PTwOfPyRZ69eD56ZJEmcqcwWJt6B+SzaJ/kW/hB+8DhIREQE86K1tfXYsWNTp05l\n3ra1tR0+fPjxtmi9YHf+/Pn8/PyMjIy7pjO/sD179tz1m9Nqtenp6cxrT09PtVqtVqtpmu6M\ndy0tLQqF4n6r7TR16tRBgwYxr0UikUajYWuPeiaJRHL79m2M2JmJoiiJRGIwGNrb27muxe6J\nRCKj0WgwGLguxBbt3LlzyZIlvV3lP364ureL7N6zXLoSCoU0Tev1equV56iYSGc0GrkuxO4J\nBAKSJB/cb83UbuFU8OARuzfffJN5UVZWduLEic63VVVVdhDsDh8+3NbWlpiYyLzVaDQbNmyI\niYmZPXs2QRBlZWWhoaHMj2pqajw9PSUSib+/f+fiISEher1epVIFBwcTBKFWqysqKsLDw/fv\n39/tapOTk5kpQ4YMGTJkSOd66uvrLb+vjkwsFnd0dHS9HhkeA4/Hk0gkRqMRwc58fD5fp9NZ\n9KPfTh06dGjhwoVSJ/G/3l8V4N77D7Mv89c1IjIrSJJES5qPz+dbuiV1Fv4Qtv5ZItYLdomJ\nifPnz+98m5SUNHfu3Li4OBcXl6ioqOzs7GXLlimVykOHDm3fvn3Lli1KpbLr4kqlcvjw4Zs3\nb168eLFQKNy2bVtQUFBERISfn1+3q7XafgEA2KDc3NxXXnmFRxI7V70T1TeQ63IAwEqsF+xk\nMhlzeQSDJEmZTObi4kIQxNKlS7du3bpo0SKapv39/VNSUu5KdYzFixdnZWWlpKQYjcbIyMh3\n332XWcn9VgsA0DNdvnw5Pj5er9N9uWLpyMgIrssBAOvh7JqdL7/8svO1QqFYvnz5Hy4ikUje\neuuth18tAEAPVF5e/tJLL6nV6k1vJD4XN5TrcgDAqnCDAAAAx3Hr1q3p06fX1tamzJk1d/xY\nrssBgIfi7e39+eefd75VKBQrVqx4vFUh2AEAOAi1Wv3SSy+VlZUtmjr5rRee57ocAHhYQqGw\nX79+nW8lEsmECRMeb1UIdgAAjqCjo2POnDmFhYWzxo7+cN4crssBAG4g2AEA2D2DwfDqq6/+\n9ttvE4fGfvZG4oNvnQUADgzBDgDAvtE0vWTJkoMHDz4RGbH97SQ+HngA0IMh2AEA2LfU1NRv\nvvlmQGDAzlUrnPBAMICeDcEOAMCOpaenZ2Rk9O3j+a/V77pIJFyXAwAcQ7ADAMcgGnAAACAA\nSURBVLBXX375ZVpaWh+l4vuU99xd5VyXAwDcQ7ADALBLP/744/Lly12dnf+V8q6/hzvX5QCA\nTUCwAwCwP8ePH//rX/8qEvC/fS85ws+P63IAwFYg2AEA2Jm8vLx58+YRJtNX7ywbEtrvjxcA\ngB6Ds2fFckUqlXJdgn2jKMrZ2Zmmaa4LsW/Mbcb4fD46pPkEAgFFUcIeczXoxYsXX3755Y72\n9v95Z9mEoUPYXTlJkj2nJS2HoijiP//NwRxMG1q0Twod7kO4xwW7jo4OrkuwbwKBoKOjA8HO\nTBRFiUQio9GIDmk+iqL0er3BYOC6EGu4evXqc889p1arNy9aOGV4nNFoZHHlfD6fpml219mT\noSXNR1EUSZIWbUmDhT+ErZ/ve1yw0+v1XJdg32iaNhgMJpOJ60LsG4/HIwiCpml0SPMxEbkn\ntGRlZeXzzz9/69atNa/Mix872kLfdogj5iNJ0tJxpIcQCASEhfukpT86mOFba8I5dgAAdqCu\nru7FF1+srKxc+fKMhZMncV0OANgoBDsAAFvX2Ng4bdq0a9euLZo6ecWMaVyXAwC2C8EOAMCm\ntbS0TJs27cqVK3+Z8PSH8+ZwXQ4A2DQEOwAA26XRaGbOnFlQUPDymKc+XfAqLrQEgAdDsAMA\nsFFarXbWrFlnzpz58xMjNi9aSCHVAcAfQbADALBF7e3ts2fPzsnJmRQ3ZOuSxTyrX1sHAPYI\nnxQAADanvb19zpw5J0+efCZ20D+WLRHweFxXBAD2AcEOAMC2dHR0JCQknDhxYvygmC+Xvy3k\n97gbjgLAY0OwAwCwIR0dHXPnzj127Ni4gTFfvbNcLBRwXREA2BMEOwAAW8EcgT127NiYmKiv\nkpch1QHAo7LqCH9jY+P27dsvXLig0+n69u07f/78fv36PfziGo0mKyvr4sWLer0+NDQ0MTHR\n3d296wxHjx5NT09fuXLlsGHD2K4dAMCytFrt7NmzT548OW5gzFfJy5ws+eBzAHBUVh2x++ij\nj+rr6z/44IONGze6ubmlpqa2t7c//OIbN26sq6tbvXr12rVrJRJJampq1yeWNjc379ixQ4iP\nQgCwQxqNZsaMGSdPnnx68KCvk5cj1QHA47FesGttbe3du/cbb7zRt2/fPn36zJ07V61WV1RU\nEATR1NS0du3ahISE6dOnJycnq1Sqexevr6/Py8t7/fXXAwMDvby8EhMTq6qqCgoKOmfIzMwc\nPXq0RCKx2h4BALCiubl52rRpv//++3NxQ3EEFgDMYb1gJ5PJkpOTfX19mbcNDQ0URbm5uREE\nkZaWRhBERkbGV199FRkZmZKSotPp7lq8tLRUIBAEBgYyb6VSqY+PT3FxMfM2JydHpVLNmjXL\nSjsDAMCS+vr6P//5z2fPnn1x1BP/WL4E18ACgDm4+QRpbW397LPPnn/+eYVCoVKpSkpKVq1a\nJZPJCIKIj4/ft29fbm7uqFGjui6iVqtlMlnXx+nI5fKWlhaCIDQaTWZmZlJSklgsvndbO3fu\nPH/+PPPa2dl5+fLlFtyxHoDH40mlUpqmuS7EvjE9mc/nM90ezMHn83k8nkgk4rqQx1FRUTF1\n6tSSkpK5T4//7zf/xvldiEmStNOWtCkkSZIkSXH923QAzEelRfukyPIfwvX19ZbeRFccBLvK\nysoPP/wwJiYmISGBIIjq6mqCIJjXnWpra0+dOrVu3Trm7Zo1a4j//ILvlZ2dPWjQoJiYmG5/\nWlhYeOTIEea1QqF47733WNqPngsnMrKFx+PxcONZNthpMxYVFT399NMVFRWL/jz108TXbOQ5\nsHbamDYILckWi7Yk38J/yVh/HMTawe7ChQv/9V//9fLLLz/33HPMFCYl7Nmz5664oNVq09PT\nmdeenp5qtVqtVtM03fnZ19LSolAozp8/n5+fn5GRcb8trlq1qnOUjiTJhoYG1neqR5HL5a2t\nrV0vW4HHwOPxXF1dOzo6NBoN17XYPalUqtPp7j1/w8bl5+e//PLLDQ0NyS+/lDzzpUe6ksxC\nnJycaJq2hUrsHZ/PJ0lSr9dzXYjdE4lEFEXdvn3bcpvQWTgVWH/g1qrB7vLly5988snSpUsH\nDx7cOdHLy4sgiLKystDQUGZKTU2Np6enRCLx9/fvnC0kJESv16tUquDgYIIgmAsvwsPD9+/f\n39bWlpiYyMym0Wg2bNgQExOTnJzMTHFycnJycupcj5VHRB0STdM4FGumzgZES5qP/g+uC3kE\nx44d+8tf/nJbq133+iuvTZxgU8XbVDF2imlDtCRbLNqSlv41OfKInU6n27hx45QpU/z9/TvT\nlVQq9fX1jYqKys7OXrZsmVKpPHTo0Pbt27ds2aJUKrsurlQqhw8fvnnz5sWLFwuFwm3btgUF\nBUVERPj5+c2fP79ztqSkpLlz58bFxVltvwAAHsk333yzdOlSiiC+eDvp+SeGc10OADgU6wW7\nK1eu1NTUfP31119//XXnxAULFkyaNGnp0qVbt25dtGgRTdP+/v4pKSl3pTrG4sWLs7KyUlJS\njEZjZGTku+++S5KkTCbrevo5M8XFxcUauwQA8Choml67du26detcJJKvk5eN7B/JdUUA4GjI\nnjZWjEOxZnJ1dVWr1TjHzkw8Hk+hUHR0dLS2tnJdi92zl3PsdDpdUlLS7t27fXq7fftecoSf\nH9cV3U0ikdA0bdHzmXoInGPHFrFYTFGUVqu13CZ0T4y23MoJgqAoivXg0fXub/fCDZMAACyu\noaEhISEhNzc3OqjvrlXv9FEquK4IABwTgh0AgGVduXJl9uzZN27ceC5u6NakxRIxbhQHAJaC\n2ycCAFjQ3r17n3322YqKiqQXn/+fd95GqgMAi8KIHQCARRiNxo8//jg9PV0sEGxNWjz9yZFc\nVwQAjg/BDgCAfY2NjYmJicePH/ft3furd96ODurLdUUA0CMg2AEAsOz06dOvv/56VVXV2Jjo\n7KVvKvFEYACwFgQ7AADWmEymTZs2ffLJJyajccWMaStmTOfhSfAAYEUIdgAA7Lh58+Ybb7xx\n8uRJD4Vr1luLRkdHcV0RAPQ4CHZwh9u3b5eVld24caOioqKurq6mpqapqamxsfH27dutra1G\no7GtrY2maZFIJBaLhUKhVCqVy+VKpbJXr159+vTp06ePn59fQECAu7s717sCYFX//ve/V6xY\n0dTU9KdBA//7zTd6y+VcVwQAPRGCXY9mNBpLSkouXrx4+fLlK1eulJSUVFVVdTunRCwS8vmu\nzlJXsYimaYImtC3NLQbD1TZttw8vkUqlISEh4eHh4eHhAwYMiIqKkuE0I3BQDQ0Ny5cv//HH\nH8VCwSevzl8w6VmSJLkuCgB6KAS7Hqepqen0f1y8eLHro1rcXFyeiIzo28fT393d1723dy+l\nm1zuJndRymSd5wmJxeKOjo6uYa5Ve7uxtbW2ubmmsamqvqG8rvZ6TV1JVVXBxYvnzp1j5qEo\nKjg4eNCgQXFxcUOHDu3Xr581dxnAcv71r3+tXLmyoaFhUEhw5pt/C/Xx5roiAOjRetyzYo1G\nI9clcKC1tfXnn38+fvz4sWPHLl26xDzplSTJEG/v2NCQgcFBUX0DBwQGusld/nBVJPmwfUZn\nMFwpv1FQdv3c1atnS66ev6rSdnQwP/Lw8HjyySfHjBkzduzY4OBgc3bNfvF4PJqm8dRd81EU\nRdO09T/Krl+/vmjRogMHDoiFwlXxLy+d/gKfx7NyDexiBhp72pcC2DIr9Elq3ATLrZwgCJqm\nr127xu46H/ys2B4X7Fh/Fq/Nomm6oKDg2LFjR48ePXPmjMFgIAhCyOcPDgkeERkxLDx0aGio\nq9T5UVd774jdQzIYjZeul+dcKfrt8pVfCy/Xq9XMdH9//7Fjx44ZM+app56SSCSPulo7xePx\nFApFR0dHa2sr17XYPalUqtPpdDqd1bbY0dGxefPmjRs33r59e0REePrCBf0cYqBOIpHQNH37\n9m2uC7F7fD6fJEm9Xs91IXZPLBZTFNX1yBLrdE+MttzKCYKgKIr14IFgdweHD3ZtbW0nTpw4\ndOjQkSNH6urqCIIgSbJ/gP+4mOinogcMDw9zEpn1RKPHDnZd0TR9paLi5wuFxy9cOFV4ua29\nnSAIoVD4xBNPPP3003/605/8/f3NWb/tQ7BjkZWD3b59+1JSUq5fv+7m4vJBwuz4saMd5ow6\nBDu2INixBcGuWwh2d3DUYHfz5s2ffvrpwIEDv/76a0dHB0EQrlLncQNj/jRo4LiBMe6urF2g\nx0qw60pnMOReKTp09txPZ84WV/7fpRthYWETJkyYMGHCoEGDHOZbsysEOxZZLdidOXMmNTU1\nJyeHR1Hzn/nTu/EzFVKppTdqTQh2bEGwYwuCXbcQ7O7gYMGuqKjo4MGD+/fvP3/+PPOrDPXx\nfnZI7DNDBseFhVrizqisB7uubtTdOph39kDemVOFl3QGA0EQnp6ezzzzzMSJE0eOHCkUCi2x\nUU4g2LHICsHuypUrn3zyyf79+2maHj8o5sN5cyL8/Cy3Oa4g2LEFwY4tCHbdQrC7gwMEO6PR\neObMmQMHDuzfv7+srIwgCB5FDQsPmzBk8KShQ4K8+lh06xYNdp1atbePnDu3//SZQ2fzmzVt\nBEFIpdJx48ZNnDhx3Lhxcvu/QxiCHYssGuwuXbq0fv36vXv3mkymgcFBKXNmOfBthxHs2IJg\nxxYEu24h2N3BfoOdVqs9duzYTz/9dOjQocbGRoIgnITCsQOjJw4d8uyQ2F4uVrpLnHWCXSeD\n0fjrpcv7cvP2nc6rvFVPEIRAIBgxYsSECROeeeYZX19f65TBOgQ7Flko2P32228ZGRlHjhyh\nabp/QEDyy9MnDR3ikCcGdEKwYwuCHVsQ7LqFYHcHuwt2lZWVhw8fPnTo0MmTJ5mT53q5yJ4d\nEjtx6JCxMVFmXgnxGKwc7Lq6oLq273TevtwzhdevM1MiIiKeeeaZp59+euDAgTy7utMEgh2L\n2A127e3t//rXv7Zt21ZQUEAQxOCQ4Lenv/jskMGOHekYCHZsQbBjC4JdtxDs7mAXwU6v158+\nffro0aNHjx69fPkyMzHE22vi0NgJQ2ItdPLcQ+Iw2HUqr607kHfmQN7ZXwsv6Y1GgiCUSuXY\nsWPHjx8/ZswYpVLJYW0PCcGORWwFu6Kioq+++mrXrl1NTU0UST4TO/iNKZNGDejPSpF2AcGO\nLQh2bEGw6xaC3R1sOdiVlpb+/PPPP//886lTpzQaDUEQQj5/RGTEM7GDJsQO7tvHk+sCCcI2\ngl0ntVZ79Nz5g3lnj+SfZ26MR1FUdHT0U089NWbMmNjYWJu93gLBjkVmBru6uroffvjh22+/\nZR6UopBKZ48b88qzzwR6erBaph1AsGMLgh1bEOy6hWB3B1sLdmVlZTk5Ob/++uvJkydv3rzJ\nTPRz7z1uYMz4QTGjowZInZy4rfAuNhXsOplo+txV1eGz546eO3+29KrRZCIIQiKRxMXFPfHE\nEyNGjIiJiREIBFyX+f8h2LHo8YJddXX1gQMH9u7dm5OTYzQaKZJ8KnpA/Ngxk4fFiYU21FWs\nCcGOLQh2bEGw6xaC3R04D3Z6vb6goODMmTOnT5/Ozc2tqalhpiuk0pH9I56KGjAmJjrYwle2\nmsM2g11XzZq2XwoKjl8o+OViwdXq/8vKEolk8ODBQ4cOHTp06ODBgzm/rhbBjkUPH+z0ev3Z\ns2ePHTt25MiRwsJCphsPDA56YeSIaaOe8OrVy/LF2jQEO7Yg2LEFwa5bDw52fHY3BvfS6/Wl\npaUXL168cOHChQsXLl682PGfR6b2cpFNihvyRGTEE5ERUX0DqR5wdrYVuEqdpwwfNmX4MIIg\nqhsafim49Nuly79dvnLy5MmTJ08SBEGSZFBQ0MCBA2NiYgYMGNC/f3+ZzErXFIP1dXR0nD9/\nPicnJycnJzc3t62tjSAIPo/3RET4xLghk4fF+bn35rpGAADWWHzETqPRZGVlXbx4Ua/Xh4aG\nJiYmuru7s7uqR9qEpUfsjEZjRUVFaWlpcXFxUVHR5cuXi4uLO8cSeBQV6uMT2y94aFjokNB+\noT7ednepne2P2N3PrZaW3KLi00XFZ0qunlOptO3/F69JkvT394+MjAwNDQ0LC+vXr19wcLDI\nwpcbY8SORXeN2HV0dBQVFRUUFFy8ePHcuXOXLl3qHDgJ8PB4KnrAuJjo0dED5M6P/KBkh4cR\nO7ZgxI4tGLHrFseHYj/66CONRrNgwQKRSPT1119fv35906ZN1B9d1KnRaKqrq/v16/cwq3qk\nTVg02N2+fTsuLq7zVDmCIIR8fj8fnwGB/gMCAwYGB0X3DXQWiy1XgBXYb7DrymgyFVVUnruq\nunitrKDseuH1cnWXDw6Kory9vfv27RsQEBAQEODv7+/r6+vt7d27N2tDOwh2rKBp+ubNm7du\n3SouLi4pKSktLS0qKiovLzcajcwMfB4v3M83Liw0Lix0ZP8IHGx9MAQ7tiDYsQXBrltcHoqt\nr6/Py8vbsGEDU0FiYuKcOXMKCgqio6Obmpq2bdtWWFio1WqDg4NfffXVoKCgzgXLysq2bduW\nnp7+h6vy9va+3yYsumvdEgqFI0eONFRXhXh7hfv5hvn5hHh7C+zq/mo9BI+iIv39Iv39iHFj\nmCkVt25duVFx5UZlaVVVSWXV1epq5grlrkuJRKI+ffp4enp6eHi4/0evXr2USqVCoVAoFK6u\nrvZ1Oz3bp9frm5qaGhoaGhsba2tr6+vr6+rqbt68WV1dXVVVVVVVddepdVInp5i+gf0DA6IC\nA6L6Bg4IDHCy1SujAQAswbLBrrS0tGuulEqlPj4+xcXF0dHRaWlpHh4eGRkZIpFo9+7dKSkp\n2dnZD7g5xf1WpdVq77cJi+5at3g83ueffy789YT1Nw1m8u3d27d376cHD+qc0tLWdu1mzfXa\n2vK6WxV1typv1VfWN9xsbLj+n9sjd0sqlcrlchcXF6lUKpVKZTKZRCIRi8UuLi5CodDJyUki\nkQiFQpFI5O7urtfrBQIBM7rs4uLCvODxeF3P+ePz+c7dHTSUSqV8PpfnyGq12nuvV9DpdF3H\ne9rb29vb2wmCoGm6paWFIAij0cjcyqelpYWmaY1GYzAYWlpamDlbWlra2to0Go1arVar1c3N\nzczM3VJIpaHeXv7u7n29+vT19Aj09Aj28vLp7WaRvQUAsBOW/WJQq9UymazraWRyubylpUWl\nUpWUlKxatYr5AouPj9+3b19ubu6oUaMedVVyubzb6Z1v09LSjh49yrx2dXX97rvvWNzBbhkl\nEktvgltONnYHFguRSCR9evd+ghhw1/R2na62qflmQ2Ndc/Ot5ua65pYGtbqxtbVR3dqk0TRr\n2lraNJXXG1txPMsMzmKx3Fni20upDPDv5SJTylzcFXIPV1c3V7l3LzdPpcLXvbfE6o9d6QlI\nkpQ4+ieY1djULZbsmkX7pMzCZ2iYTCYr347D4n/xd3txQHV1NUEQCQkJXSfW1tZeuHBhzZo1\nBEGYTKaOjo6ZM2cSBOHt7f3pp5/eb1UPmM5QKBTe3t7Ma5lM1nnyjQWNedrim+AOj8ezRhva\nMDFB+BOE/0PM2dTUpNVqmYEorVbLnFFnMBhaW1uNRmNbW5terzcajczfITRNNzc3Mwsajca7\nzr1jFux2K10XZBePxyNJsut2hUJht8OHBEGQJOnq6tp1CjM2ybyWy+XMeKSrqytJkmKx2MnJ\nSSQSMUOYIpFIoVCIxWKJRMKMdz7SEW2KomiatvfzPm0Bn8+nabqH/wdnBdPbTSYT14XYvXs/\nhVhn6Q5v/Y8mywY7V1dXtVpN03Rn9mppaVEoFMzH/Z49e+469qrT6TZt2kQQRHFx8c6dO1ev\nXk0QBPMRf79V3W965zoXLly4cOHCzrec38fO3jENjg+sh0GSpLOzs7Ozc697/iLExRMP8Kht\nwu6zYnuyXr16mUwmC/2d0KNY4ZT/HkIulwsEArvuk394tSj7W7To2kNCQvR6vUqlYt6q1eqK\niorw8HAvLy+CIMrKyjrnZO7TKxQKmRPSXV1d+Xx+58npD1jV/aZbdL8AAAAAbJBlg51SqRw+\nfPjmzZvLysqqqqo2bNgQFBQUERHh6+sbFRWVnZ1969Yto9F44MCBRYsWNTY2Psaq7jfdovsF\nAAAAYIMsfh87rVablZV17tw5o9EYGRmZmJjIHCdtamraunVrfn4+TdP+/v4JCQmRkZGPt6r7\nTe8WDsWaCYdiWYFDsSzCoVi2MIdim5qauC7E7uFQLFuYQ7F2/cXtgDcotjV23T9sAYIdKxDs\nWIRgxxYEO7Yg2LEFwa5beFbsHSz9qCiHZzKZhEJhT/t7gHWd13mhQ7KCx+OhJc1nMBhomkZL\nmo+55g8taT6apg0Gg123JEmSrD+O/MH3DehxI3YAAAAAjsraV+ECAAAAgIUg2AEAAAA4CAQ7\nAAAAAAeBYAcAAADgIBDsAAAAABwEgh0AAACAg7DqfewqKyu/+OKL4uJig8EQGBg4Z86cR3r2\nl0ajycrKunjxol6vDw0NTUxMdHd37zrD0aNH09PTV65cOWzYMLZrBwAAALB11huxo2k6NTVV\noVBkZWXt2LGjf//+KSkpj3Tb/Y0bN9bV1a1evXrt2rUSiSQ1NbXr8w+am5t37NghFAotUDsA\nAACAHbDeiJ1ara6pqVmyZIlEIiEIYuLEibt27bp586ZMJmtqatq2bVthYaFWqw0ODn711VeD\ngoLuWry+vj4vL2/Dhg3MYzQSExPnzJlTUFAQHR3NzJCZmTl69OgTJ048uAy7fjKJLcAjxViB\nR4qxCI8UYwseKcYWPFKMLXikWLds5ZFicrk8LCzs4MGD3t7eAoHg4MGDHh4eAQEBBEGkpaV5\neHhkZGSIRKLdu3enpKRkZ2ffNfZWWlradU+kUqmPj09xcTET7HJyclQq1VtvvXVvsKuurm5p\naWFe83i8u47ewqMiSZLP5yPYmYmiKOI/jcl1LXaPoigej4eWZAta0nwURVEUhZY0H0mShJ33\nSWYXrMmqjfXOO++8//778fHxBEEoFIr3339fKBSqVKqSkpJVq1YxD1OLj4/ft29fbm7uqFGj\nui6rVqtlMlnXBpLL5Uxi02g0mZmZSUlJYrH43o1+/vnnBw8eZF4rFIrDhw9bbgd7CBcXF65L\ncBBCoRAnD7ACzcgWHo/n6urKdRUOotuvJHgMdt0naZqura215hatF+wMBkNqampYWFhaWppA\nINi/f//q1as/++yz6upqgiASEhK6zlxbW3vq1Kl169Yxb9esWUPcP/ZmZ2cPGjQoJiam258O\nGTKEOfhLEIREImlvb2drj3omoVCo1+vxiGEzkSQpEomMRqNer+e6FrsnEAiMRiNGkc0nFotp\nmu7o6OC6ELvH4/FIkjQYDFwXYveEQiFFUfjifiTWC3YFBQVlZWUff/wx80fMtGnTDhw4cOrU\nKebY6J49e+76m1ur1aanpzOvPT091Wq1Wq2maboz3rW0tCgUivPnz+fn52dkZNxvu1OnTp06\ndWrnW7s+VG8LXF1d29ra8CVqJh6PJxKJDAaDRqPhuha7h3Ps2CISiUwmE/qk+XCOHVvkcjlF\nUXbdJ5kTb6zJesGOpmmaprsGAuavGS8vL4IgysrKQkNDmek1NTWenp4SicTf379z5pCQEL1e\nr1KpgoODCYJQq9UVFRXh4eH79+9va2tLTExkZtNoNBs2bIiJiUlOTrbargEAAADYAusFu7Cw\nMIVCsX379nnz5gmFwr1797a1tcXGxvbp0ycqKio7O3vZsmVKpfLQoUPbt2/fsmWLUqnsurhS\nqRw+fPjmzZsXL14sFAq3bdsWFBQUERHh5+c3f/78ztmSkpLmzp0bFxdntf0CAAAAsBGkNU+W\nKi8v37FjR0lJidFo9PPzmz179oABAwiCaGpq2rp1a35+Pk3T/v7+CQkJkZGR9y6u1WqzsrLO\nnTtnNBojIyMTExMVCsVd88ydO3fhwoUPuEExDsWaCbc7YQVud8IiHIplC253whYcimULbnfS\nrQff7sSqwc4W2HX/sAUIdqxAsGMRgh1bEOzYgmDHFgS7bj042OFZsQAAAAAOAsEOAAAAwEEg\n2AEAAAA4CAQ7AAAAAAeBYAcAAADgIBDsAAAAABwEgh0AAACAg0CwAwAAAHAQCHYAAAAADgLB\nDgAAAMBB8LkuwNpEIhHXJdg3kiSFQmFPexId6yiKYv5FhzQfj8cTCAQkSXJdiCMgSRJ90nx8\nPh8tyQrmo9KuW9L6H009Ltjx+T1ul9lFkiSfz0ewMxPzX52iKHRI85EkyePxuK7CEZAkSdM0\n+qT5mA6JljQf81GJlnwkPa6x2trauC7BvgkEAq1WazKZuC7EvvF4PLFYbDAY0CHNJ5VKdTqd\nTqfjuhC7JxaLaZpGnzSfWCymKEqr1XJdiN3j8/kURdl1n2QGHa26RStvDwAAAAAsBMEOAAAA\nwEEg2AEAAAA4CAQ7AAAAAAeBYAcAAADgIBDsAAAAABwEgh0AAACAg0CwAwAAAHAQCHYAAAAA\nDgLBDgAAAMBBWPuRYvv37//3v//d0NDg7e09d+7cIUOGPPyyGo0mKyvr4sWLer0+NDQ0MTHR\n3d296wxHjx5NT09fuXLlsGHD2C4cAAAAwNZZdcTu6NGju3btWrBgQWZm5vjx47du3fpIj9Lb\nuHFjXV3d6tWr165dK5FIUlNTuz6xtLm5eceOHUKh0AKFAwAAANgBq47Y7dq1KyEhITY2liCI\nqVOnTp06lZne1NS0bdu2wsJCrVYbHBz86quvBgUF3bVsfX19Xl7ehg0bAgMDCYJITEycM2dO\nQUFBdHQ0M0NmZubo0aNPnDhhvf0BAAAAsCXWG7FraGioqakhCGLx4sXTp09/++23i4qKmB+l\npaURBJGRkfHVV19FRkampKTodLq7Fi8tLRUIBEyqIwhCKpX6+PgUFxcz6cUNfAAAIABJREFU\nb3NyclQq1axZs6y0MwAAAAC2x3ojdg0NDQRBHDlyZPny5XK5fOfOnR988EFmZmZ9fX1JScmq\nVatkMhlBEPHx8fv27cvNzR01alTXxdVqtUwmI0myc4pcLm9paSEIQqPRZGZmJiUlicXie7f7\nyy+/lJWVMa/FYvFzzz1nuX3sCSiKEovFNE1zXYh9oyiKIAgej+fk5MR1LXaPz+eTJMnj8bgu\nxBGQJIk+aT6BQICWZAXzUWnXLdk1t1iHtS+emDFjho+PD0EQf/nLX44fP37mzBnmrLiEhISu\ns9XW1p46dWrdunXM2zVr1hD3b53s7OxBgwbFxMR0+9NDhw4dPHiQea1QKGbMmMHSrvRcEomE\n6xIcBJ/P5/Ot/X/QIfH5fJFIxHUVjoAkSWdnZ66rcBACgYDrEhyEXfdJ64+DWO9LRalUEl1+\nPTweT6lUNjU1+fr6EgSxZ8+eu6570Gq16enpzGtPT0+1Wq1Wq2ma7ox3LS0tCoXi/Pnz+fn5\nGRkZ99vuzJkzR48ezbwWCoWtra0s71gPI5FIbt++jRE7M1EU5ezsrNfr29vbua7F7onFYoPB\nYDAYuC7E7kmlUpqm29rauC7E7jEjdveeUwSPSiKR8Hg8u/7iduQRO6VSqVAoioqKgoODCYLQ\n6XS3bt3y8PDw8vIiCKKsrCw0NJSZs6amxtPTUyKR+Pv7dy4eEhKi1+tVKhWzuFqtrqioCA8P\n379/f1tbW2JiIjObRqPZsGFDTExMcnIyM6V///79+/fvXE99fb1VdtdhOTk56XS6rtcjw2Pg\n8XjOzs4mk6mjo4PrWuyeQCDQ6/X4EjUfE+zQJ81HkiRFUWhJ84nFYh6PZ9ctyRxNtibrBTuK\noiZPnrxz504fHx8fH59vvvlGLBYPGTJELBZHRUVlZ2cvW7ZMqVQeOnRo+/btW7ZsYUb4OimV\nyuHDh2/evHnx4sVCoXDbtm1BQUERERF+fn7z58/vnC0pKWnu3LlxcXFW2y8AAAAAG2HV83te\neOEFrVa7fv16jUYTGhr60UcfMZc7LF26dOvWrYsWLaJp2t/fPyUl5a5Ux1i8eHFWVlZKSorR\naIyMjHz33XdJkpTJZMxVFwxmiouLi/X2CgAAAMA2kD3tZCkcijWTq6urWq3GoVgz8Xg8hULR\n0dFh1+eO2AipVKrT6XAo1ny9evUymUxNTU1cF2L3xGIxRVGPdAd+6JZcLhcIBHb9xU1RFOv1\nd737WzdbZHdjAAAAAMAVBDsAAAAAB4FgBwAAAOAgEOwAAAAAHASCHQAAAICDQLADAAAAcBAI\ndgAAAAAOAsEOAAAAwEEg2AEAAAA4CAQ7AAAAAAeBYAcAAADgIPhcF2BtMpmM6xLsG4/Hk0ql\nPe0Rw6wjSZIgCD6fjw5pPj6fz+PxRCIR14XYPZIkKYpCnzQfj8fr/BfMwbShvfdJKz/rtscF\nu/b2dq5LsG98Pr+9vR3BzkwURQmFQqPRiA5pPicnJ71ebzAYuC7E7gmFQpPJhD5pPqFQSJJk\nR0cH14XYPR6PR1GUXfdJ5s94a+pxwU6v13Ndgn2jadpgMJhMJq4LsW/Mn6E0TaNDmk8kEhmN\nRrQkW9CS5mPiCFrSfMwggl23JEVZ+5w3nGMHAAAA4CAQ7AAAAAAcBIIdAAAAgINAsAMAAABw\nEAh2AAAAAA4CwQ4AAADAQfS4250AAADAXRobG5uampqbm1taWlpaWtRqdUtLS2tra1tbW3t7\ne0tLi9Fo1Gg0BoNBo9EQBEHTdEtLy73rkUqlfD6fIAgnJyeRSOTs7Mzn8+VyuZOTk1Qqlclk\ncrnc1dXV1dVVqVQqFAo3NzehUGjtvXVoCHYAAAAOTqfT1dTU3Lx5s6qqqq6u7ubNm7du3aqt\nrb1161Z9fX1TU9Mj3eKbx6Mkku7TWGNjrVarMxof4V6nUqnU09Ozd+/enp6enp6e3t7eXl5e\n3t7evr6+crn84dcDDAQ7AAAAB6HT6SoqKsrLy8vLy2/cuHHjxo3q6uqKioq6urpunxgkEvEV\nCklIPzeFq0Qud3JxEctkYpmLWOosdHYWSZyFUqnIyUkgEPCkUhFFkc7OIop62EcpaDQdNE2r\n1e06nbH9tl7T1qHRdLRpOtSt7Wp1u1rd3tSobW7WNjVpa2oqrl69eu8anJycAgMDfXx8AgMD\n+/bt27dv36CgIB8fH+s/zsGOINgBAADYH5PJVFFRoVKprl69qlKprl27du3ataqqKqPR2HU2\niiLd3KQDBnh5eMjc3KQeHi7KXs69e0t79XJ2c3N2crLgYVCpVEQQhEwmfpiZOzoMDQ1tt261\n1tW21tW11tS23rzZUnNTrVKVXL58ueucEokkJCQkPDy8X79+ERER4eHhXl5eFtkB+8RNsDt6\n9Gh6evrKlSuHDRv28EtpNJqsrKyLFy/q9frQ0NDExER3d3fzVwsAAGDjjEZjWVnZlStXSkpK\nioqKSktLr169etfjaF1dncLC3L28XX28Xb285X36yL285L17y/h8O7hQUiTie3nJvbzuOPYq\nFospirpx41ZVVVNFRVPFjabyG43XyxouXSq4cOFC52wKhWLAgAEDBgyIioqKiorq27ev9R/k\nZTs4CHbNzc07dux4jJMlN27cqNFoVq9eLRKJvv7669TU1E2bNnX+8h57tQAAALamvr6+sLDw\n0qVLRUVFly9fLi4u7hrjBAKen5/SP0Dp56vwD+jl56fw9VU85NiY3XFzc3Zzc46O9umcYjCY\nbpQ3XiurV129dfXqrdKrt3755ZdffvmF+alMJouOjh48ePDgwYNjY2N79+7NUeHc4CDYZWZm\njh49+sSJE51Tmpqatm3bVlhYqNVqg4ODX3311aCgoLuWqq+vz8vL27BhQ2BgIEEQiYmJc+bM\nKSgoiI6Ovt9qAQAA7EV5eXlBQcGFCxcKCgoKCwtra2s7f8TnU/7+vfoGuQX1dQsI6NU3yM3b\n2/Xhz3VzPHw+1TfIrW+Q2/jxYcwUtbq9pLi2uLi2uLj28uWaU6dOnTp1ivmRv7//0KFDhw4d\nGhcXFxYWZpvn52k0mvLycoIgvLy8FAqFOauydrDLyclRqVRvvfVW1wSWlpbm4eGRkZEhEol2\n796dkpKSnZ1919hbaWmpQCBgUh1BEFKp1MfHp7i4mAl23a4WAADAZlVUVJw/f/78+fMXLly4\ncOFCc3Nz54+USue4uICQfu7Bwb2Dg3v7+/eyi8OpHHJxEccO8Y8d4s+8bW6+ffnyzUuXbhYW\nVBcWVn/77bfffvstQRBKpXL48OEjRowYOXJkeHi4LYS82traTZs2/f777ybT/11KHB0dvWTJ\nEj8/v8dboVWDnUajyczMTEpKEov//3CxSqUqKSlZtWqVTCYjCCI+Pn7fvn25ubmjRo3quqxa\nrZbJZF1/B3K5nLmJTrer7fTFF1/k5eUxr6VSaVpamiV2refg8XjMbwrMwfRkgUCAi/nNx+Px\n+Hy+k5MT14XYPZIkKYpCnzQfc46QQCC4a3pTU1Nubm5eXt7Zs2fPnDlTV1fX+aM+feSDB4eF\nhfcJD/MMDfN0c5NatWJbxbRkt1/uD+bpKfb0VIwdG0EQhMlEX71al59/4/y5irNny/ft27dv\n3z7i/7F352FN3fn+wL/nZA/ZCRAgLFnYZRFZXalap2PtNtNOW6kyzuNMmXbGqdPljrUzdZw6\ndqqttbX3WhV7+5tnutrbmemICIKgFEEU2VcjIjsCISEJkJCc3x9nmstFpEg2Ej6vp49PckhO\nPjk9JG++57sgJBaLMzIyMjMzH3zwQbtXbkUQxODg4N1+Ojw8/Pzzz9Pp9J07dyqVSiqV2t7e\n/umnn+7YseP48ePzu4js1GCXk5OTmJiYkJAwdWNPTw9CKCsra+rG/v7+0tLSgwcPknf379+P\nvvsunONurVQq1eXLl8nbQqHwzt80cK/gGNoLjuOLuYevHcFhtBcMw+AX3F4oFIrZbG5oaCgr\nKysvL6+oqGhpabHOOSL24WRkRMQsCViyJDA62l8gYLu22oXMxl9wHEeRkf6Rkf6bN6cihDo6\nhq5c6bhc0V5Z2X7q1KkrV648+uijdqp0BjPOMmP1t7/9jcFg5OTkWMOrUqnMyMh49tln//a3\nv73wwgvzeEXnBbvq6uqqqqojR45M205ecj116tS0a68Gg+Hw4cPkbYlEotVqtVotQRDWeKfR\naIRC4d12a7V79+5XXnmFvI1h2NDQkL3e0eLE5/NHR0etLcZgfigUikAgmJiYIOdwB7bgcDhG\no9FoNLq6ELcnEoksFsvUC4JgHkZHR2tqai5fvvztt99evXrV+jvOYtESlkqXxATExPhHx/j7\n+v6fSx9jY2OuKHahYzAYOI7b9+D4+rI3bozauDGKINCNG4MR4c85NBjMnkrLy8u3b98+rUmS\nRqP99Kc/PXr06Pxe0XnBrqCgQK/XZ2dnk3d1Ot2hQ4cSEhKeeeYZhFB7e3tERAT5o76+PolE\nwmazQ0JCrE8PCwszmUwqlUqpVCKEtFptZ2dnVFRUbm7ujLvdtWsXuYXFYk29RjNLiyiYI4Ig\nZv8TBHwv6wGEI2k74juuLsRDwJGch76+PrJN7tKlS83NzdaZ5AIDBatWxcQs8Y+LDZQrxBTK\n/37Hw3GeO8cdK7ncOyQkxKH/L2bf+cDAAJlqpgkODr59+/b8XtF5wS47O3vbtm3Wuzt37ty6\ndWtqaiqPx4uLi8vJyXn55ZdFIlF+fv7Jkyc//PBDkUg09elkh8cPPvhgx44ddDr9xIkTCoUi\nOjo6ODh4xt067X0BAABYhNrb28vLy8vKyi5dukSOZ0QIUal4VJQkISEoPkEaFeXn7e3l2iLB\nAsdgMEwmE0Koo6Pj+eef/9e//kVuHxsb8/Ka58njvGDH5XKndrrHMIzL5fJ4PITQiy++ePz4\n8V//+tcEQYSEhOzZs2daqiPt2LHj2LFje/bsMZvNMTExr732GrmTu+0WAAAAsKO2tjYyyZWV\nlfX29pIb2Wx6aposPj5waUJQVLSEwaBSqVQMw8gvbABmERgYeP36dblcbrFYxsfHrdsrKirc\nY1TsVP/v//0/622hUGjtBjcLNpv9vR0Jp+4WAAAAsJFKpfr2229LS0u//fZb6zhWHo+5erVy\n6dKg+ARpRITfYp5SDthi5cqV//jHP9avXz91Y2lp6SeffPLSSy/Nb5+wViwAAADwf3R1dZWW\nll68ePHixYvWljmBgJWREb40MSgxMUguF0OYA7Z77LHH/v73vz/00ENTN6pUqp/85CcbNmyY\n3z4h2AEAAABoeHi4tLSUXJmqvb2d3MjlMlevViYuC162LFih8FkA09kCj8LhcN577z3yfLOO\nn92yZYstM7xAsAMAALBIjY2NXbp06cKFCyUlJY2NjeRETiwWLS1NlpQUvCwpJDzcF1rmgEMF\nBgYGBgZO3WLjvH0Q7AAAACwiFoultra2uLi4pKTk8uXL5AyIVCoeGxuQlByclBQSE+NPo1Fc\nXSYA8wTBDgAAgOfr7OwsLi4uLi4uLS0dHh4mN8oV4uTkkOTk0MREKYtFn30PALgFCHYAAAA8\nk8FgKC0tPX/+/Pnz51UqFbnR29vrgQeiU1JCk1NCxWKYZw54Ggh2AAAAPAdBEA0NDUVFRefP\nn7deaWUwqKmpoSmpoampoXI5jIEAngyCHQAAALc3PDxcXFx8/vz5oqIi62xzSqUPmecSEqR0\nOnzfgUUBTnQAAABuyWw2V1VVFRUVFRUVVVdXk2Na+XzW/fdHpqbJUlNDxWKOq2sEwNkg2AEA\nAHAnAwMDRUVFhYWFJSUlarUaIYTjWHS0f3q6LDVNFhUlgQlKwGIGwQ4AAMBCNzk5efXq1XPn\nzhUVFdXV1REEgRASi702bYpNS5clJ4fweExX1wjAgrDogp23t7erS3BvGIYJhUJXV+EhGAwG\nnQ4zLNgKwzAGg+HqKjwBhmEUCmVBfUj29fWdOXPm7NmzBQUFZOMchYIvXRq0cmXYypXK8Ag/\nbAGPg6DRaK4uwUOw2WzH7dzRJ7zFYhkcHHToS0yz6ILd0NCQq0twbwKBQKvVkn1ZwLxRKBSh\nUDgxMTE6OurqWtweh8MxGo3k4EdgC29vb4vFQuYnFyJ7zhUUFBQWFk5pnONseig2PV2WkhzK\n4f47x4+Njbm00ruiUqkYhplMJlcX4vaYTCaO4waDwXEv4ehUYOMyEvOw6IIdAACABWhoaKio\nqOjcuXPFxcXkBMIUCh4fH5ieLktPlyvDfBdw2xwACwgEOwAAAK5Bru517ty5c+fOXbt2jbwU\nIBJ5PfjgkvTl8tSU/22cAwDMEQQ7AAAATqXRaIqLi8+dO1dYWHj79m1kHda6XJ6eLouMlEDj\nHADzBsEOAACAMzQ1NRUUFJw7d66ysnJychKRc85tiFqxQp6aKhMIWK4uEABPAMEOAACAoxgM\nhpKSksLCwnPnznV3dyOEMAyFh/ulp8uWr5DHxATAnHMA2BcEu8VuZGQEIWSxWGYZnslischZ\nObhcrvMqAwC4LZVKRV5p/fbbb8kBy15e9PvuC09Pl6cvl4vFXq4uEACPBcHOo+j1+oGBgcHB\nweHhYbVaTf6r0Wg0Go1Wq9XpdDqdbnR01GAwmEwmjUZDziNwr7hcLo1G43K5bDbby8uLw+Hw\neDz+d0QikUgk8vb2FolEYrF4Qc2JBQBwnImJibKyMvJia3t7O7kxNNR7xQp5Wro8IUFKpTp7\n3gcAFiEIdm7GYrH09/d3dnb29PT09PR0d3f39fX19fX19/f39/ePj4/P/nQmk8ZkUr28GFwe\nVSLxZbHo5Ectl8tEs14PGTMYJyctBEJ6vdE8adbrjTrd4OCgSa//nsnDaDSaWCyWSCS+vr4B\nAQF+fn6BgYEBAQGBgYFSqRTmlQXA3XV2dpLDWi9evEhOLMdk0laskKcvly9fLvf357u6QAAW\nFwh2C5der29vb79x40Z7e3tHR0dHR8etW7d6enpmnIhVIGAHBHJEIj9vkZdAwOILWAI+iy9g\n8XgsLpfB5TK5XIaXF8P27ixMJnNiYmJqU59ON6HXG3W68VHthHZ0XKsd02jG1cN69ciYZsQw\nOKgfGhqtre03m2eY09jPzy/4O3K5PDQ0VC6X+/r62lgkAMChjEZjeXk52XOutbWV3BgYKFi+\nPGr5CvnSpUEMBny5AOAa8Lu3IBAE0dnZ2dbW1traev36dZVKdf369f7+/mkP4/GYoaECiT/f\nX8KTSHi+vlwfX46vL08kYtNoFJdUjhDicBgcDsPPb7budwSBhof1Q0P6gYHRgYHR/v7RgX5t\nb6+2t1dz9eqVysrKqQ/28vJSfCc8PFypVIaFhTGZsBAkAC7W1dVVVFRUWFhYUlKi1+sRQjQa\nJTU1lOw5FxwMiw0C4HoQ7Fyjt7e3ubm5oaGhubm5paWltbV12pIpPj6cZcuCpVKBVCoMlAoC\nAwUBAXwOx10vXGIY8vb28vb2Cg+f3hpnMpl7e7U9PSPd3SPdXSOdnerOTnVTU0Ntba31MTiO\nBwcHR0REREZGRkVFRUZGhoWFwSqrADiB0WisqKgoLCwsLCxsbm4mN0okvB/8ICF9uXzZsmAW\nC1ZEBWABcWqwGx4ePnnyZE1NjdFolMvl27ZtCw8Pn/vTdTrdsWPHamtrTSZTREREdnb2tGt2\nhYWFhw8ffvXVV9PS0uxdu01MJlNra2tdXV19fX1jY2N9ff3U1RgpFFwqFcjl0pAQkUwmDg4R\nBQcL2ezFklpoNEpwsHDa3/pms6W3V9PRob55c6ijY6j9xtDNm703b948e/bsd8+iKZXK6Ojo\nmJiYJUuWLFmyxMfHxxXlA+CZyJ5zRUVFFy9etDbOJSeHpKXL0tPlMhkMigJggcLmNy5yfn77\n29/S6fRf/OIXLBbrk08+uXbt2okTJ+Z+ie2NN97Q6XTPPvssg8H45JNPbt68+d5771mX1x0Z\nGdmxY4fBYHjppZdmCXaDg4N2eCffx2g0NjY21tTU1NbW1tbWNjY2Tu0Y5yfhKZU+CoWPUukj\nl3sHB4tceCH1Xt3Zx85pbt/WtbcPqlSDN1SD168P3LgxZDROWn/q5+cXFxcXFxcXGxsbHx8v\nlUqdX+HcUSgUoVA4MTExyywzYI44HI7RaJyx7ym4J2w2u7i4+B//+EdRUdH169fJjQEB/LQ0\nWVq6LCkpmMVaLH9w2ohKpWIYZjKZXF2I22MymTiOT7uiZV9KxSuO2zlCCMdxuwcPGo0mk8nu\n9lPntdiNjo76+Pg888wzQUFBCKGtW7eWlJR0dnaGhYWp1eoTJ07U19cbDAalUrl9+3aFQjHt\n6YODg5WVlYcOHSLfTHZ29pYtW+rq6uLj48kHHD16NCMjo7i42Gnv6E4EQfz5z38+f/58U1OT\n9WuGSsVDQ73Dwn0jwv3Cwn3Dwny4XOguNh8+PhwfH05KSih512y2dHaq21oH2tput7b2t7YO\nFBQUFBQUkD8ViUQJ31m6dKlEInFZ3QAsbC0tLefPny8qKiovLyeHtTIY1NQ0WXqaLD1dFhwi\ncnWBAIB74Lxgx+Vyd+3aZb07NDSE47hYLEYI7du3z8/P78iRIwwG44svvtizZ09OTs60HlRt\nbW1TIyqHw5FKpS0tLWSwu3TpkkqleuGFF1wb7AwGw7FjxyYmxuUKcVSkJDLSLzJSogzzcaMG\nOTdCoeChod6hod73b4gitwwO6lqa+1ta+lta+pua+oqKioqKisgfSSSSxMTEpUuXLlu2LCEh\nAWZaBovc8PBwaWnp+fPnz58/Ty4IgRCSycTLV8QlJQXBsFYA3JdrfnVHR0fff//9Rx99VCgU\nqlSq1tbW3bt3k9+1mZmZp0+frqioWLVq1dSnaLVaLpeLTVkams/nazQahJBOpzt69OjOnTtn\nvKr72muv5eXlkbeFQqG1RccRxGJxZ2en6sY7nv2ZyGIt0CUdg4PZwcG+92+IJe8ODuoaGnoa\nGnoa6rvr63tyc3Nzc3MRQjiOR0VFpaampqWlpaWlRUdHUyiuSd4MBgNm8rMLGDQ9FyaT6dKl\nS/n5+QUFBVevXjWbzQghDoexbn3U8uWKFcuV/gEw55w90WgwrMQ+2Gy243ZONjA5DkEQzukD\nZuWC/NHV1fWnP/0pISEhKysLIdTT04MQIm9b9ff3l5aWHjx4kLy7f/9+hNDUVDdVTk5OYmJi\nQkLCjD8NCAiIivp3iw6XyyVXnnYcHo9Ho+EWywxztnkGHHebdycSsVetUq5apSTvdnWp6+u6\n6+t76uu7m5tbGhoaTp48iRDicrnJyclpaWlk1BOJnHHhCcMwCoVCEAT55QpsgeM4QRAu6ffp\nFpqbm8nVvUpKSsg+nTiOxcQEpKXLly9XxMYGUij/Z0EId/kFX8jIbys4J21HdqN36Dnp6FTg\n/NPA2cGupqbmrbfeevrppzdt2kRuIS+5njp1atq1V4PBcPjwYfK2RCLRarVarZYgCGu802g0\nQqGwurq6qqrqyJEjd3vF55577rnnnrPedUJw/t7lH9yaCwdP2EgsZmXcp8y4T4kQmpy0tLUN\nNDT0NtT31Nf3Wi/aYhimVCqTkpJSUlKSkpLCw8Oto3Psixw8YTQaYfCE7WDwxJ0GBgYuXLhQ\nUlJSUlLS29tLbvT3569dG5eSEpqUHMLj/buN02QyWrv4s9lsgiA8+xPMOWDwhL2Qgyccek6S\nC6Y7joO+RGbh1GDX2Nj4l7/85cUXX1y2bJl1Y0BAAEKovb09IiKC3NLX1yeRSNhsdkhIiPVh\nYWFhJpNJpVIplUqEkFar7ezsjIqKys3N1ev12dnZ5MN0Ot2hQ4cSEhKm9ucDYBoqFY+KkkRF\nSR5/fClCaGTEUFfXU1/XU1fX09R0s62t7dNPP0UICQSCpKSk5OTklJSUxMREh14OAMBGo6Oj\nZWVlFy5cuHDhgnXCOQ6XsSYjLCUlNDk5JCgIJhAGwPM5b7oTo9H4q1/9au3atevXr7du5HA4\nTCbztddeMxqNL7/8skgkys/PP3ny5IcffnjnFbE333yzv79/x44ddDr9xIkTWq324MGDOp1u\nYmLC+pidO3du3bo1NTWVx+PNWIYTWuyuq95y9Eu4kPu22M2R2WxpbR2oq+upr+uure3u7/93\nixqVSo2JiUlJSUlNTU1JSfH397flVWC6EztazC12Y2NjFRUVpaWlpaWlNTU15EUlGo0SFxeY\nlBySnBwSFSWZ+0KCZIsdOTAW2AJa7OwFpjuZ0ezTnTgv2NXU1Pz+97+ftvHZZ5998MEH1Wr1\n8ePHq6qqCIIICQnJysqKiYm5cw/kmNNr166ZzeaYmJjs7GyhcPofoFu3bn3uuedcO48dBDtP\nMjAwWlvbXVfbXVfX09o6YF3xViqVpqamJiUlpaamzmP4BQQ7O1pswW58fPzKlSvffvttaWlp\nVVUV+cZxHIuI8EtKCklKDo6Pl85v/BYEO3uBYGcvEOxmtFCC3QIBwc5Giy3YTTU2Zmps7K2p\n6a6v666r69Hp/t1UzOFwyCu2ycnJSUlJc5lLBYKdHS2GYDc2NnblypWysrKysrIrV66QbxbD\nkFzuk5QUvCwpeGlCEIdr6whrCHb2AsHOXiDYzWihTFAMgLtjsWjLlgUvWxaMELJYiJvtQ7W1\n3eR/xcXF5ByKOI5HRESkpqaSOW+W3z0AZqfVaisrK8vLy8vKyqqrq61hTiYTL00MSkwMSkwM\nEgig3ycA4P+AYAfAfOA4JleI5Qrxo4/FI4SGhvR1dd21Nd119T0tza1NTU3//d//jRASi8XJ\n30lISIDp1sDsent7L1++XF5eXl5e3tTURM6Gg+OYQuGzdKl0aWJQQoIUwhwAYBYQ7ACwA29v\nr4yM8IyMcISQ0TjZ3NxfV9tdW9fTUN9z5syZM2fOIIRoNNqSJUuWLVu2bNmylJSUO3uIgkXI\nbDY3NzeXl5dfuXKloqKis7OT3E6l4lHRkvi4wISlQfHxgbAOIQBTq8K1AAAgAElEQVRgjiDY\nAWBndDo1Li4wLi4wEyGEUHf3SF1dT319T31dT21tzbVr106cOIEQEovFKSkpcXFx5FpnAoHA\ntWUDpxkcHKyqqrpy5UplZeW1a9f0ej25ncNhpKXJYuMCExKk0dESJhPWLQAA3DMIdgA4VmCg\nIDBQ8MAD0QihsTFTS3N/fX1PfX1PQ2OvdZUzDMPkcvnS78TGxsJFW08yNjZWW1t77dq1qqqq\nq1ev3rp1y/qj4GDh6tWhS2ID4uIC5XLx3KcmAQCAGUGwA8B5WCxawlJpwlIpjuNMJrOnR11V\ndbOxobehsbeluVOlUp06dQohRKVSw8PDExIS4uPj4+PjY2JiIOe5l4mJiYaGhpqampqammvX\nrrW2tlqXLfLyoiclh8QuCYiJ8Y9ZEiAQLNCVlwEAbgqCHQAu4+fHW7s2Yu3aCPTdMNvGxt6m\npr6m5r62tpbGxsZPPvkEIUSlUsPCwuLi4pZ8B67bLjRarbahoaGhoaG2tra2tra1tdU61QWN\nRgkL94mO8o+OlkRF+4eEiKBZDgDgOBDsAFgQrMNsNz0UixCanLSoVLebm/ubm/taWwauX29r\namr6/PPPyQcHBQXFxMRER0eT/8pksnudIRnYwmw2d3R0NH6nrq5u6tVVGo2iVPpERPhFRPpF\nRkoUCjGNBv93AABOAsEOgIWISsUjIvwiIvweeSQOIWQ2W9rbh1pb+tuu325rHWhrG8jLy8vL\nyyMfzGAwIiIioqKiwsPDw8PDIyMjg4ODnb/ytKcym82dnZ0tLS3Nzc2tra3kv1NXJedwGUuX\nBoWF+YSF+0ZE+MlkYioVDj4AwDUg2AHgBigUXKn0USp9rFv6+7TXVYMq1e3r12/fUA02NtbX\n1tZaf8pgMJRKpVKpDAsLCwsLk8vlcrn8bgsog6lGRkZu3LihUqmuf0elUk1dkJpKxYNDRHJZ\nqFLpo1D6KBRif3++CwsGAICpFl2wo1Id/pY9u6UEwzAcxxfnkmJ2hGH/7mU177PFP0DgHyBY\ntUpJ3p2ctNy6NXzjxmB7+2D7jaGbHUNtbc0NDQ1Tn+Lj4yObIiQkJCQkxM/Pz1qMm8JxnEKh\n3Ouv9uTkZG9vb0dHR0dHx82bN9vb28l/h4eHpz6MTqcEBYtCQ7xlcm+ZTCyXi4ODRZ7dIOfZ\nn2DOQR5DOJL24tAj6ehU4PwP2EUX7Fgsh49Bo9E8efYpDMOcEI4XCRzH7XW20GgoIsI/IsLf\nusViIbq71TdvDnfcHLp1a5j878qVysuXL099IoPBCA4ODgoKkkql5A1/f3+pVCqRSEQikV1q\nczQKhXK309JisQwMDPT09PT09HR1dXV3d3d1dd26dauzs7Onp8c6UpWE45i/Pz8tTR4cLAoO\nEYWGeocEi/wDBItqrAOGYZ79CeYc5Hc5HEnbOeFIOiEVONmi+4Z2wprrU6/aeB4mk2k0GqHF\nzkZkI5PFYnHo2eLr6+Xr65WSEmTdYjROdndrurtHurtHens0PT2avj5tb9+ttra2O59Op9P9\n/PwkEom3t7ePj4+Pj49YLBYKhd7e3gKBwNvbm8fjuXB8rtFoHBkZGRkZmZiY6O/vv3379tDQ\nEPnv4OBgX1/f4ODg4OAguSrXNCKRV1i42F/C9/fn+QfwAwMFAQECf3/enaMcTCajU97NgsBm\nswmC8OxPMOegUqkYhllHRoN5YzKZGIY59Jx0dCpwfsPtogt2ACxmdDpVJvOWybynbdfrjf39\n2r4+7cDA6OCgrr9/dHhI398/qlYPX7nSOXuM5/P5PB6Pw+FwOBw2m83n85lMJpPJ9PLyotFo\nTCaTwWAghHg83rQPOD6fj2GYXq+f+v1nMBjI1e41Gg1CaHR01Gw2j4yMjI+Pj4+PazSa0dFR\nnU6n1WqnDl+4E41GEQrZUVF+IhHb14/n7e3l58v18eX6+nIlEi6dDh99AADPBJ9uAADk5UWX\ny8VyufjOH5nNFrV6bGTEMDysH1GPjWjGNJoxjWZMqx0f1Y7rdBOjo+N6vXpwsH9szOGNWxQK\nzmbTuVxGUDCP4+XD5TK4XKZQ6MXlMnh8plDA5gtYAgFLJPLi8WBKZwDAYgTBDgAwGwoFF4u9\nxGIvhHy+98G60YnxicmJCZNBbzRbiNHRcYSQTjdBWAiEkE4/YbHM1vrHYtFoVApCiMmi0WgU\nOp3CYNBYLBqVivN4TDqdymDM8JFFp9PNZvOMl1wBAGCxgWAHALAbDpfB4TJcXQUAACxeMBgb\nAAAAAMBDQLADAAAAAPAQEOwAAAAAADwEBDsAAAAAAA8BwQ4AAAAAwENAsAMAAAAA8BAQ7AAA\nAAAAPITD57HT6XTHjh2rra01mUwRERHZ2dm+vr723ZUdXwIAAAAAwH05vMXu3XffHRgYeP31\n1w8cOMBms/fu3WuxWL73WTqdrrW1dY67mt9LAAAAAAB4GMcGu8HBwcrKyl/84hcymSwgICA7\nO7u7u7uurg4hpFarDxw4kJWV9cQTT+zatUulUk19Ynt7+wcffDCXXc3yEgAAAAAAi4pjL8W2\ntbXRaDSZTEbe5XA4Uqm0paUlPj5+3759fn5+R44cYTAYX3zxxZ49e3Jycuh0+r3uymAw3O0l\nyC0qlWpoaIi8TaVSFQqFo97tdygUiqNfwoUwDKNQKAQx24qf4HthGEbe8OyzxTkwDMNx6C5s\nN3BO2g7HcfKj0tWFeAiHHkkajea4naMpn/ZO49hgp9VquVzu1HfF5/M1Go1KpWptbd29ezeX\ny0UIZWZmnj59uqKiYtWqVfe6Kz6fP+N2692PPvooLy+PvC0UCgsKCuz4BmfEYHj4Wpmz5G9w\nTygUCnz02wUcRnvBMMzjP8GcBk5Le3HoOcnn8x23c4QQQRB9fX0OfYlpHD54Ysas2tPTgxDK\nysqaurG/v7+mpmb//v0IIYvFMjEx8dRTTyGEAgMD33777bvtapbtpNWrV/v5+ZG3WSzW2NjY\nfN7GvQhT/oejX8KFGAyG0WiEFjsbYRjGZDLNZrPRaHR1LW6PRqOZzWboWWs7FotFfva6uhC3\nR6FQMAybnJx0dSFuj8Fg4Dju0C9uJ6QCJ3NssBMIBFqtliAIa/bSaDRCoZBs8jl16tS0th+j\n0fjee+8hhFpaWj777LPXX38dffdHz912dbft1n1u2LBhw4YN1ruDg4OOe7+LAY1GMxgM8CVq\nIwqFwmQyJycn9Xq9q2txexwOx2g0QkS2HZPJJAgCzknbMZlMHMcNBoOrC3F7VCoVx3G3Pied\n31HEsa8XFhZmMpmsAyO0Wm1nZ2dUVFRAQABCqL293fpIsqGSTqf7+vr6+voKBAIqlUre9vb2\nnmVXd9vu0PcFAAAAALAAOTbYiUSi9PT0Dz74oL29vbu7+9ChQwqFIjo6OigoKC4uLicn5/bt\n22az+cyZM7/+9a+Hh4fnsau7bXfo+wIAAAAAWIAwR3eWMhgMx44du3btmtlsjomJyc7OJq+T\nqtXq48ePV1VVEQQREhKSlZUVExMzv13dbfuM4FKsjchr33Ap1kYUCkUoFE5MTIyOjrq6FrcH\nl2Ltxdvb22KxqNVqVxfi9uBSrL3w+XwajebWX9w4jtu9/qmTgdzJ4cFuoXHr82MhgGBnFxDs\n7AiCnb1AsLMXCHb2AsFuRhDsAAAAAAAWBZjVEwAAAADAQ0CwAwAAAADwEBDsAAAAAAA8BAQ7\nAAAAAAAPAcEOAAAAAMBDQLADAAAAAPAQjl0rdpqurq6PPvqopaVlcnJSJpNt2bLlnpaI0Ol0\nx44dq62tNZlMERER2dnZvr6+Ux9QWFh4+PDhV199NS0tzd61AwAAAAAsdM5rsSMIYu/evUKh\n8NixYx9//PGSJUv27NlzT7OzvvvuuwMDA6+//vqBAwfYbPbevXunTpM7MjLy8ccf0+l0B9QO\nAAAAAOAGnNdip9Vq+/r6fvvb37LZbITQxo0bP//8897eXi6Xq1arT5w4UV9fbzAYlErl9u3b\nFQrFtKcPDg5WVlYeOnSInG05Ozt7y5YtdXV18fHx5AOOHj2akZFRXFw8exljY2P2f2+LCYVC\nMZvNrq7C7WEYRqFQCIKAg2k7CoVisVhgrnXbUalUOCftAsdxhBCs0GM7CoWCYdjk5KSrC7GJ\n3YMHhULh8/l3+6nzgh2fz4+MjMzLywsMDKTRaHl5eX5+fqGhoQihffv2+fn5HTlyhMFgfPHF\nF3v27MnJyZnW9tbW1jZ1DQ0OhyOVSltaWshgd+nSJZVK9cILL3xvsNPr9Y54d4uHQCDQ6XTw\ngWUj65JicELaDpYUsxdySTGtVuvqQtweLClmL+SSYhqNxtWFzJ+DlhRbEMEOIfS73/3uD3/4\nQ2ZmJkJIKBT+4Q9/oNPpKpWqtbV19+7dXC4XIZSZmXn69OmKiopVq1ZNfa5Wq+VyuRiGWbfw\n+Xzyf7ZOpzt69OjOnTuZTOadL3rhwoX29nbyNpPJ3LRpk+Pe4GKA4ziTyYTWERuRf9BTKBQW\ni+XqWtwelUolW0BdXYgnwDAMzknb0Wg0OJJ2QX5UuvWRnJpbnMN5wW5ycnLv3r2RkZH79u2j\n0Wi5ubmvv/76+++/39PTgxDKysqa+uD+/v7S0tKDBw+Sd/fv34/ufnRycnISExMTEhJm/Gl+\nfn5eXh55WygUPvnkk/Z6R4sWeTEd2I5KpVKpTv3jylNRqVQGg+HqKjwBhmFeXl6ursJD0Gg0\nV5fgIdz6nHR+O4jzvlTq6ura29vffPNNsl3t8ccfP3PmTGlpKTmy9dSpU9OuvRoMhsOHD5O3\nJRKJVqvVarUEQVjjnUajEQqF1dXVVVVVR44cudvrbtu27eGHHyZvU6lUt27RXQg4HI7BYIBL\nsTbCcZzL5RqNRuj0aTsWizU5OWkymVxdiNvj8XgWi0Wn07m6ELdHp9NxHB8fH3d1IW7Py8vL\n3b+4PbnFjiAIgiCmBgKyO2RAQABCqL29PSIigtze19cnkUjYbHZISIj1wWFhYSaTSaVSKZVK\nhJBWq+3s7IyKisrNzdXr9dnZ2eTDdDrdoUOHEhISdu3aRW5RKBRTh2LY/VL3YkMQhMlkgmBn\nI/K6IXkwXV2L22MwGBDs7AiOpO3IoVFwJG1HNne59ZEkryY7k/OCXWRkpFAoPHny5E9/+lM6\nnf6vf/1Lr9cnJSX5+/vHxcXl5OS8/PLLIpEoPz//5MmTH374oUgkmvp0kUiUnp7+wQcf7Nix\ng06nnzhxQqFQREdHBwcHb9u2zfqwnTt3bt26NTU11WnvCwAAAABggcCcefW3o6Pj448/bm1t\nNZvNwcHBzzzzTGxsLEJIrVYfP368qqqKIIiQkJCsrKyYmJg7n24wGI4dO3bt2jWz2RwTE5Od\nnS0UCqc9ZuvWrc8999wsExRDi52NBAKBVquFFjsbWUfF3tNUjmBGMCrWXshRsWq12tWFuD0Y\nFWsv5KhYt/7idtCoWOskIXdyarBbCNz6/FgIINjZBQQ7O4JgZy8Q7OwFgp29QLCb0ezBDtaK\nBQAAAADwEBDsAAAAAAA8BAQ7AAAAAAAPAcEOAAAAAMBDQLADAAAAAPAQEOwAAAAAADwEBDsA\nAAAAAA8BwQ4AAAAAwENAsAMAAAAA8BAQ7AAAAAAAPAQEOwAAAAAAD0F1dQHOxuVyXV2Ce6NQ\nKBwOZ7EtMWx3GIYhhKhUKpyQtqNSqRQKhcFguLoQt4dhGI7jcE7ajkKhWP8FtiCPobufk05e\n63bRBbuxsTFXl+DeqFTq+Pi4xWJxdSHuDcdxOp1uNpvhhLQdm802mUwmk8nVhbg9Op1usVjg\nnLQdg8HAMGx8fNzVhbg9CoWC47hbn5Pkn/HOtOiC3eTkpKtLcG8EQUxOTkKwsxH5Zyh5MF1d\ni9uzWCxmsxmOpL3AkbQdlUrFcRyOpO3Iq0NufSRx3Nl93qCPHQAAAACAh4BgBwAAAADgISDY\nAQAAAAB4CAh2AAAAAAAeAoIdAAAAAICHgGAHAAAAAOAhINgBAAAAAHgICHYAAAAAAB4Cgh0A\nAAAAgIeAYAcAAAAA4CGcvaRYbm7u119/PTQ0FBgYuHXr1uTk5Lk/V6fTHTt2rLa21mQyRURE\nZGdn+/r6Tn1AYWHh4cOHX3311bS0NHsXDgAAAACw0Dm1xa6wsPDzzz9/9tlnjx49un79+uPH\njxsMhrk//d133x0YGHj99dcPHDjAZrP37t07dcXSkZGRjz/+mE6nO6BwAAAAAAA34NQWu88/\n/zwrKyspKQkh9MgjjzzyyCPkdrVafeLEifr6eoPBoFQqt2/frlAopj13cHCwsrLy0KFDMpkM\nIZSdnb1ly5a6urr4+HjyAUePHs3IyCguLnbe+wEAAAAAWEic12I3NDTU19eHENqxY8cTTzzx\n0ksvNTc3kz/at28fQujIkSN/+9vfYmJi9uzZYzQapz29ra2NRqORqQ4hxOFwpFJpS0sLeffS\npUsqlWrz5s1OejMAAAAAAAuP81rshoaGEELnzp175ZVX+Hz+Z5999sc//vHo0aODg4Otra27\nd+/mcrkIoczMzNOnT1dUVKxatWrq07VaLZfLxTDMuoXP52s0GoSQTqc7evTozp07mUzmna/7\n0UcfVVZWkrc5HA4ZIsG8USgU8v8UsAV5JtNoND6f7+pa3B6FQqFSqSwWy9WFuD0Mw3Ach3PS\ndjiOI4RoNJqrC3F7VCoVIeTW5yRBEIODg858RWcPnnjyySelUilC6Gc/+9n58+evXLlC9orL\nysqa+rD+/v7S0tKDBw+Sd/fv34+++y68U05OTmJiYkJCwow/ValUly9fJm8LhUL4TbMdHEN7\nwXGc/AIANoLDaC8YhsEvuL1QKBRXl+Ah3PqcJAjCya/ovGAnEokQQl5eXuRdCoUiEonUanVQ\nUBBC6NSpU9PGPRgMhsOHD5O3JRKJVqvVarUEQVjjnUajEQqF1dXVVVVVR44cudvrvvHGG2+8\n8Yb1rpODs+cRCARarXbqsBUwDxQKRSgUTkxMjI6OuroWt8fhcIxG4539N8C98vb2tlgsarXa\n1YW4PSaTieP4PY0OBDPi8/k0Gs2tv7id/2enU4OdUChsbm5WKpUIIaPRePv2bT8/v4CAAIRQ\ne3t7REQE+ci+vj6JRMJms0NCQqxPDwsLM5lMKpWKfLpWq+3s7IyKisrNzdXr9dnZ2eTDdDrd\noUOHEhISdu3a5bS3BgAAAACwEDgv2OE4/tBDD3322WdSqVQqlX766adMJjM5OZnJZMbFxeXk\n5Lz88ssikSg/P//kyZMffvgh2cJnJRKJ0tPTP/jggx07dtDp9BMnTigUiujo6ODg4G3btlkf\ntnPnzq1bt6ampjrtfQEAAAAALBBO7WP3ox/9yGAwvPPOOzqdLiIi4o033iCHO7z44ovHjx//\n9a9/TRBESEjInj17pqU60o4dO44dO7Znzx6z2RwTE/Paa69hGMblcqf25Se38Hg8570rAAAA\nAICFAXN+tz7XcutL9QsB9LGzC+hjZ0fQx85eoI+dvUAfO3vxjD52dq9/6uxvM7yifV8MAAAA\nAAC4ypyCnclkcnQdAAAAAADARnMKdgEBAb/5zW+qqqocXQ0AAAAAAJi3OQW7JUuWHDlyZNmy\nZbGxsQcOHOjt7XV0WQAAAAAA4F7NKdidP3++u7v7/fffFwqF//Ef/xEUFPTDH/7ws88+Gxsb\nc3R9AAAAAABgjuY6eEIikfzqV7+6cOFCV1fX22+/PTQ09PTTT0skkp///OfWBbsAAAAAAIAL\n3fOoWLK/3UcffbR582atVnvixInU1NQVK1ZcuXLFEfUBAAAAAIA5urdg19/f/84778THxy9Z\nsuTzzz9/8MEHv/rqq3/+859GozEtLe3s2bMOqhIAAAAAAHyvOa08YTQav/nmm48//vjMmTOT\nk5MRERH79+/Pysry9/cnH/DAAw88/PDDzz///PXr1x1ZLQAAAAAAuKs5BTt/f//h4WEOh7Nl\ny5af/exnK1eunPYAGo2WnZ392GOPOaBCAAAAAAAwJ3MKdtHR0du2bXvyySe9vLzu9pjExMQT\nJ07YrzAAAAAAAHBv5rRWbFJS0l//+teoqKhp27/66qvf//73jY2NjqnNIcxms6tLcG84jsNC\nsXZBoVAIgoCDaTscxwmCWGzLXjsCnJP2gmEYQgjOSdvhOI5hmFt/cRMEcePGDfvuc/a1YufU\nYnf16lW9Xj9t4+TkZENDg0qlsqk6p4P1rW0kEAi0Wi189NuIQqEIhUKj0Tg6OurqWtweh8Mx\nGo1Go9HVhbg9b29vi8UCH5K2YzKZOI4bDAZXF+L2+Hw+jUZz63MSx+95+hEbfU+wI//sQAgl\nJyfP+IDExEQ7VwQAAAAAAOble4JddXV1SUnJb37zm0ceeUQsFk/9EYZhAQEBP//5zx1ZHgAA\nAAAAmKvvCXbx8fHx8fG5ubkHDhwICwtzTk0AAAAAAGAe5tTHLi8vz9F1AAAAAAAAG80W7CIj\nI7Oysnbt2hUZGTnLw5qbm+1dFQAAAAAAuGezBTuBQMBiscgbzqoHAAAAAADM02zBrry8fNoN\nAAAAAACwYM2pjx1CyGAwaDQacnHYsbGxzz//fGho6LHHHpPL5Y4sDwAAAAAAzNWc5s1rbm6W\nyWQff/wxQmhycnL16tXbtm176aWXEhMTr1275uAKAQAAAADAnMwp2O3evdvPz++JJ55ACH32\n2WdXrlz5z//8z+vXr8fExPz5z392cIUAAAAAAGBO5hTsSktLf/e73ykUCoTQ//zP/yxZsuSX\nv/ylQqF4/vnnKyoqHFwhAAAAAACYkzkFu5GREbJ3ndlsLi4u3rhxI7ndx8env79/Hq9aWFj4\n8MMP3+uYDJ1O98477/z0pz/NzMzcu3fvwMCAXXYLAAAAAOAZ5hTs/Pz8bty4gRAqKipSq9UP\nPPAAub2zs9Pb2/teX3JkZOTjjz+m0+n3+sR33313YGDg9ddfP3DgAJvN3rt379Sl6Oe9WwAA\nAAAAzzCnUbEbNmx47bXXrl+//umnnyoUitWrVyOEBgYGDh8+vGLFint9yaNHj2ZkZBQXF1u3\nqNXqEydO1NfXGwwGpVK5fft28rLvVIODg5WVlYcOHZLJZAih7OzsLVu21NXVxcfH3223AAAA\nAACLypyC3Z/+9KeGhoY333xTLBZ/8803FAoFIbRjx46Ojo6//vWv9/R6ly5dUqlUL7zwwtQE\ntm/fPj8/vyNHjjAYjC+++GLPnj05OTnT2t7a2tpoNBqZ6hBCHA5HKpW2tLSQwW7G3ZLGxsZM\nJhN5G8MwDMPuqWBwJziMtrMeQDiStsO+4+pCPAQcSdvBOWlfbn0knV/8nIKdv7//pUuXtFot\ni8Wi0Wjkxpdeeunw4cN+fn5zfzGdTnf06NGdO3cymUzrRpVK1draunv3bi6XixDKzMw8ffp0\nRUXFqlWrpj5Xq9VyudypB4jP52s0mrvt1mrfvn3WtW6FQmFBQcHcC/YYY2NjXV1dvb29fX19\n/f39g4ODQ0NDarVarVZrtVq9Xq/VasfHx8fGxgiCGBkZmfZ0LpdLpVKZTCaLxeJwOFwul8vl\nCgQCkUjk7e0tFot9fHwCAgJ8fX1DQkLYbLZL3qM7YjAYDAbD1VV4AjiM9kKhUObRwQbMiFy6\nCdjOrc9JgiBu377tzFec6wTFCCEejzf1blJS0r2+WE5OTmJiYkJCwtSNPT09CKGsrKypG/v7\n+0tLSw8ePEje3b9/P7p77J1xt1YKhSIlJYW8zeFwrK13HslsNt+6dautrU2lUqlUqvb29lu3\nbnV2dg4PD8/yLBqbSaXTmVwvxGWxeF4sqc+djxnX6scJQqMemuzrNRrGZtmbQCCQSqWhoaGh\noaEKhUKhUISFhYWEhFCp93CyeTwMw6hUqsViMZvNrq7F7VEoFIvFQhCEqwtxezQajSCIyclJ\nVxfi9nAcRwhN7QUO5odKpWIY5tZf3M7/aJrTd+3AwMArr7xSUFDQ19d355k6x6Krq6urqqqO\nHDkybTt5yfXUqVPTrr0aDIbDhw+TtyUSiVar1Wq1BEFY451GoxEKhXfbrdW2bdu2bdtmvTs4\nODiXat0CQRAdHR319fUtLS1NTU2tra0qlcpoNE59DIVG5fn7BCmWcCU+XmIBx0fEEvLZIh5L\nyGPyuUweh8HxwvB7aChmMpkT4+NjWt3EqGFCq9MPj4yptYZhjf72sH5oZLR3cHRgqLmttb6+\nfuqz6HS6XC4PCwuLioqKioqKiYkJCQkhP/sWJwqFIhQKTSbT6Oioq2txexwOx2g0TjvzwTx4\ne3tbLBbySgiwBZPJxHHcYDC4uhAXuH379uDg4O3bt2/fvq3+jkajGf2OXq8fHx/X6XQIIY1G\nM0uEEAgEGIbx+Xwqlerl5cXj8bhcLo/H4/F4IpFIKBSKxWJfX19vb++AgAAvLy8nvst7MPs3\n3b59+2b56e7du+fxinMKdr/61a++/vrrNWvW3H///fNudykoKNDr9dnZ2eRdnU536NChhISE\nZ555BiHU3t4eERFB/qivr08ikbDZ7JCQEOvTw8LCTCaTSqVSKpUIIa1W29nZGRUVlZubO+Nu\nd+3aNb86FzKCIK5fv15dXV1dXV1bW9vQ0DA1FlAZdJEsUCgLFIYECEMCBFKJIMif4yNEdr/A\nj2FMHofJ46BA37sVqrut1vT0azr71B09wx09w+1d19tvNDc3f/PNN+RDOBxOTExMXFxcQkLC\n0qVLlUqlW/eiAACAxWNsbOzmzZvkFaHOzs6e7wwMDMz+JxZOpdLZTBqbSeEwqUy6b6AYIUSl\n0ais/+1NMTk+MWk0IYQspsnJsYnhCb1xeMyoH7PMen3Dy8tLKpUGBAQEBAQEBQUFBweHhobK\nZDKxWGynN+0Qjvg7CptLe5tYLM7JyXnkkUdseaXR0dGJiQnr3Z07d27dujU1NZXH47322mtG\no/Hll18WiUT5+fknT5788MMPRSLRtD28+eab/f39O3bsoIMXpukAACAASURBVNPpJ06c0Gq1\nBw8e1Ol0d9vtjGW4XYudTqerrKysrKy8cuVKVVXV/54EGCaQSvyi5D4RMnFYiE94CD/AD6M4\nvA2MyWROTEzMo22ZsBCanv7Bto7B1o6BlvaBJpW6sw99tx8+n79s2bKkpKTk5OSkpCQOh2Pv\nwhcWssVuYmICWuxsBy129kK22KnValcX4vY8qcVucnKyo6OjpaWF7OFz48aNGzduzDCFLYZ5\niYUcH6GXj8jLW+DlI2QL+SwBlyXgMfkcJp/L4HrRvVhUxr1NSTb1SE5OGCd0hgmtflwzOqYZ\nHR8ZNag1+ttqg1qjGxjWDQyN9t42Gsan7YHH48nlcqVSGR4eHhYWFhkZGRoa6syuQTiO2z14\nTB1Leqc5BTsvL6+bN2/6+MzQ9Wretm7d+txzz6WlpSGE1Gr18ePHq6qqCIIICQnJysqKiYm5\n8ykGg+HYsWPXrl0zm80xMTHZ2dlCoXCW3c7ILYKdWq0uLy//9ttvy8rKGhsbrd2weAG+/nHh\n/rHhkhilX5SCznHBMIV5B7s7GXWG/qYbfQ1tffVtPTUt2p5/zzhNpVKXLFmSlpa2cuXKtLQ0\nPp9v+2stNBDs7AiCnb1AsLMXtw52nZ2dTU1NjY2NTU1NLS0tbW1t0365uH5ifpBEIPXjSyX8\nAF9+oC/X35fjK6LQ7J+W7vVITozqtb23tT0DI7d6R7r6Rzp71R09mq7+qa19DAYjMjIyKioq\nNjZ2yZIlCQkJDh3zt0CD3erVq/fu3ZuRkWHPulxkwQa7sbGx8vLykpKSixcv1tfXk30ZcQrF\nL0YZmBApXRYTEB/h5TO9FdP57BjsptHfHu6ubu6qauyuahxoukH+HlIolLi4uDVr1qxatSot\nLc1jJqCGYGdHEOzsBYKdvbhRsLNYLCqVqra2tra2tq6urq6uburECFQGXSSTiuRSsSJIJJMK\nQwOFIQE0pvMGodvlSFomJ0c6+wZVt4ZVXbevdwxdvzV0o8vy3SChyMjIixcv2qPYmS3QYHf1\n6tXnnnvu3XffTU9Pt2ttLrDQgl1zc3NRUVFRUVF5eTl5TRmnUPzjwoNSYoOSYgOXRtJYM8zh\n4kKOC3ZTGQ3j3VUNnZfrb1XW9TW0EWYLQojFYq1YsWLt2rXr1q2Ty+UOLcDRINjZEQQ7e4Fg\nZy8LPNj19vZevXq1qqqqqqqqtrZ26qcQL8DXN1LmEy7ziQj1DQ8VBPk7oYfPLBx0JM2mySHV\nrf6mG4OtN38clbZ9+3b77n+qBRrsVq5cSfaRZLPZd16QvXnzpo0lOtNCCHbj4+MXL17Mz88/\nd+5cV1cXudFbHhS6YmloeoI0OZbOXlhhbirnBLupJkb1ty7XdVy6drOsWt3RQ26UyWQbNmzY\nsGFDenq6dW5FNwLBzo4g2NkLBDt7WWjBzmQy1dXVVVZWXr58+cqVK+QsYyRBkL9kiVISE+Yb\nJfeLkjP5XBfWeScnHMlXfO/ad8sunB/s5nRFHMfx8PDw8PBw+1W1GA0ODp49e/bs2bPFxcVj\nY2MIIboXK3z9ctmqRNnKZVzJgh6540IMrlfYurSwdWkIoZGuvvaLVTcuVHZervvwww8//PBD\nHo+3du3aBx98cN26deQc1wAAAAwGQ2VlZXl5+aVLl6qqqsgvHYQQk8+Vr07yj4vwjw3zjw1f\naEkO2G5OLXaexPktdp2dnbm5uadPn758+TI5DEIY7C/PSFGsSQ5KisHdbdpe57fYzWhy3Hir\nouZ68WVVSaWufwghRKfTV65c+dBDD23cuPHOIdULDbTY2RG02NkLtNjZi6ta7PR6fXl5eVlZ\nWVlZWXV1tXWuaZFMGrg0KnBpVEBCpLdMav85sBwGWuxmZIdLsaTx8fG6urqurq5Vq1aJxeLJ\nyUl3XEvAacGuo6Pjn//85zfffFNdXU0QBMIwSYwybF2acm2aWBnsnBocYYEEu/9FEH2N19sK\ny68Xlg9ev4UQolAoK1aseOihhzZt2rRgZzCCYGdHEOzsBYKdvTgz2E1MTFRWVl64cKG0tPTa\ntWtkmMMouG+ETJq0JChpSeDSKLbIXecWgGA3I/sEu7fffvuPf/wj+SV06dKltLS03bt39/T0\nHD9+3L3inaODXXd399dff/33v/+9pqYGIYRRcGlidPj65WHr0z3jYuuCC3ZTDLd3t54ra83/\ntr9RhRCiUCgrV6587LHHNm7ceOfMOK4Fwc6OINjZCwQ7e3F0HLFYLPX19SUlJRcuXCgvLx8f\nH0cIYTjmEyELTo4NTo2TLothcBfoSgz3BILdjOzQx+748eMvvfTSww8/vHHjRusaDxEREW+9\n9VZ0dPTLL79sn0rdn16vT09PHxsbwyh4cEpcxAMrw9ane3kLXF3XYiGSBab9/Im0nz8x0tXX\nklfanHexpKSkpKTklVdeycjI+NGPfvTDH/7QofMVAQCA4/T3958/f/78+fMlJSVDQ0PkRpFM\nGpUWH5wWF5wcCx3mAJpji118fPzy5cv/67/+a3x8nMVikS12CKFXX331q6++amlpcXydduPQ\nFjuCIN5+++2rNE34/cu9xAuricheFnKL3Z3UHT3NZy40n7lIXqX18vLauHHj448/vmbNGgqF\n4sLCoMXOjqDFzl6gxc5e7NjOZDQaKyoqyFmxGhsbyY1sET8kLT50RWJIejzXzxOuBd0NtNjN\nyA6XYlks1jfffLN+/fppwS4/P3/Tpk3u9XnqhD52bw2UO/olXMi9gp3VQEt70+mS5twL2t7b\nCCFfX9/HHnvsySefjI2NdUk9EOzsCIKdvUCwsxfb40hXV1dhYWFhYeGFCxf0ej1CiEKjBi6N\nDl2xNHT5Ut9IOYa7zQAIW0Cwm5EdLsXyeDzyEv40Go2GxWLNvzQAnMU3QuYbIVv9QlbX1YbG\nf51vOfstOVtKVFTUU0899fjjj/v6+rq6RgDAojY5OVlZWVlQUHDu3LmmpiZyIz/QN2HTatnK\nZcFp8Qt5ilOwcMypxe7+++83mUxnzpzBMMzaYjc8PLxmzZqAgICzZ886oVB70Wg0jn6JN/vK\nHP0SLkSn0z2gaWRywthWWF7/z6L2i1ctZjOVSl23bt3mzZt/+MMfOmfVMhzHuVyu0Wi0Ti4F\n5o3FYplMJuvMDmDeeDyexWLR6XSuLsTt0el0DMPIxYS+1/Dw8Llz586ePVtYWEgu50WhUYOS\nlshXJytWJ3krghxc7IJGo9FwHJ/jkZyf30mWO27nCCEMw/r6+uy7Tztcii0uLl6/fr1MJnvw\nwQcPHz78s5/9zGw2f/3112NjY+fPn1+xYoVdC3Ysh54fpDe6Ljj6JVyIQqGYp6ym7O70g+r6\nb87XfJU/0HwDISQSiZ5++umsrKy4uDiHvi6GYXQ63Ww2QxyxHZVKtVgs5PLKwBYMBoMgCA/4\ny83lyC68s39UNjU1nT59Ojc3t6Kignwkx1cUlpGqWJMsX7mM7gVXwxBCCMdxDMMc+qXzmnS1\n43ZO6ujosO8O7TPdSWFh4csvv3zt2jXrlpSUlLfeemvNmjV2qNGJoI+djdy0j9336m9U1f+9\nsPFfxeOaUYRQfHz85s2bf/zjH/P5Dpn/CfrY2RH0sbMX6GNnL3frGWYymcrLy8kliP69GieG\nSWKUiowUxeokv2iFG00d7BzQx25GdpugGCE0MDBArjEXEhKy0CYGmyMIdjby1GBHMhtN14sq\n6r4+d7OsirAQTCbzoYceyszMXL58OWbXD1wIdnYEwc5eINjZy7Q4otFoioqKzpw5U1RURHYH\nojEZIekJiowUxZokL5+FvlKOC0Gwm5EdBk9Y+fr6Qh9z4MEodFrEAysjHlg52jdY//dzdf9T\n8OWXX3755ZdyuTwzM/Opp56C8x8AMEednZ1nz549c+bMpUuXTCYTQojjK4p/4gHFfSkhqfFU\npjO684JFaLYWOw6H873PN5lMTui1ZkfQYmcjz26xm4awEB3lNXX/k99WWG42mmg02oYNG7Zs\n2XLffffhOG7LnqHFzo6gxc5eoMXOdgRB1NXV5efn5+bm1tXVkRt9wkMV96WErU2TxCjhYus9\ngRa7Gc2/xW7Tpk3W29XV1Tdu3EhKSgoICDCbzTdv3qypqUlMTExPT7dnsQAsJBiOhS5PCF2e\nMKbWNnxzvvbU2dOnT58+fVoqlWZmZm7evDkgIMDVNQIAXM9oNJaVlZ05cyYvL4/ssIRTKMGp\nccr7UpX3pfKlfq4uECwiswW7zz77jLxx6tSphoaGjo4Of39/609bWloeffTRDRs2OLZAABYA\nlpCXtPWRpK2PdFU11p3Kbz578S9/+cvBgwfXr1+/devWdevWuXYdCwCAS2i12sLCwtzc3KKi\nIq1WixCic9gRD6yMWL9cuSaFwma4ukCwGM1p8ERsbOwf/vCHJ554Ytr2o0ePHj16tLq62jG1\nOQRcirXRoroUezcTo/rGfxXXfnl2oKUdIRQQEJCZmZmZmRkYGDjHPcClWDuCS7H2Apdi56i7\nu5vsPFdWVkaeeFw/seK+lLB1aUHJsRQalUqlYhhG9qsDtoBLsTOyw+CJ1tZWkWiGYTtisbi5\nuXn+pQHgnhhcr6VPP7j06Qd761prvsxrzr144MCBd955Z926dVu2bLn//vuhAQ8Az1NfX5+X\nl3fmzJna2lpyi094qHJtmnJtiiQaOs+BhWJOwU4sFn/00Ufr1q2bupEgiFOnTs0Y+ABYJPxj\nw/1jw9e+sr3xdEnNF3n5+fn5+fn+/v5kA55UKnV1gQAAm5hMpkuXLuXl5eXl5XV2diKEcAol\nKDk2bG2qcm0adJ4DC9Ccgt3Pf/7zP/7xj7W1tffdd5+Pjw9CqK+vr6ioqKmp6Xe/+52DKwRg\noaNz2AlP/jDhyR/21rXWnjrbnHvh4MGDhw4dWrt2LdmAR6Xe27xCAADX0mq15MxzhYWF5Mxz\ndDYz/P7lyvtSFRnJTD7X1QUCcFdz6mNHEMSBAwfefffd3t5e60axWPzLX/7y9ddfd6+rTtDH\nzkbQx+57GfVjjf8qrj11tr9RhRCSSCSbN2/OzMwMDg62Pgb62NkR9LGzF+hjR848l5eXV1ZW\nRvaQ8/IRKTNSlGtTg1PjqIy5zjwHfezsBfrYzchuK08QBNHZ2dnX10cQhI+PT2hoqI1TebkE\nBDsbQbCbu76GtpovzjafuWDUj+E4vmbNmi1btvzgBz+g0+kQ7OwIgp29LM5gZ7FYqqur8/Ly\n8vPzGxoayI0+4aGKjBTl2lT/JWHz6DwHwc5eINjNyJ5LitloeHj45MmTNTU1RqNRLpdv27Yt\nPDx87k/X6XTHjh2rra01mUwRERHZ2dnTlgEoLCw8fPjwq6++mpZ21/9PEOxsBMHuXhkN402n\ni2tP5ffVtyGExGLxU089tXXr1uTkZAh2dgHBzl4WVbAzGAwlJSVkv9iBgQGEEE6lBiXFKDJS\nbJ95DoKdvUCwm9ECCna//e1v6XT6L37xCxaL9cknn1y7du3EiRNMJnOOT3/jjTd0Ot2zzz7L\nYDA++eSTmzdvvvfee9ZWw5GRkR07dhgMhpdeegmCneNAsJu3gaYbtV+dbfxXycSoHsOw1atX\nZ2Vl3X///XP/FQAzgmBnL4sh2HV1dRUUFOTn51+8eJFcNonJ58pWJirvS5WtTGRwvezyKhDs\n7AWC3YzsuVasLUZHR318fJ555pmgoCCE0NatW0tKSjo7O8PCwtRq9YkTJ+rr6w0Gg1Kp3L59\nu0KhmPb0wcHBysrKQ4cOkW8mOzt7y5YtdXV18fHx5AOOHj2akZFRXFzstHcEwD3xjZKvf+2X\na176WcvZ0rqvCkpKSkpKSvh8/o9//OPNmzdbz2QAgH2Zzeaqqqr8/PyCggLrxVaRLDAuI0Wx\nJiUwMQp3q57iAMzOecGOy+Xu2rXLendoaAjHcbFYjBDat2+fn5/fkSNHGAzGF198sWfPnpyc\nHDr9/3RTbWtrmxpRORyOVCptaWkhvw4vXbqkUqleeOGFO4NdfX19X18feZtOpy9dutRhb/Hf\nPHsIJIZh7jVcZqGhcqgJP/7B0scf0Hb2Xf3sdO3X506ePHny5MnY2NgtW7b85Cc/gSmE7hWF\nQqHRaBjMImYPGIYxGB6yXsLw8HBhYWFeXl5hYeHw8DBCCKdSQ9MTFBkpyvtSRCFznU58HnAc\nxzDMs78LnIP8vXbokXT0Ce/8jybXnHajo6Pvv//+o48+KhQKVSpVa2vr7t27uVwuQigzM/P0\n6dMVFRWrVq2a+hStVsvlcqceID6fT45C1+l0R48e3blz54yXtD777LO8vDzytlAoLCgocOAb\nQwghRB+a68gpNzUtc4P58ZYHbXg1e/0r21sLy6u+OFNfcvmVV175/e9///DDD2/btm3Dhg0Q\noOeORqO5ugQPgWEY+VHspgiCuHbt2pkzZ3JzcysqKsxmM0LIy1uQ8PgPwtamKVYlMThspxUD\nv8L24tAvHUef8M7vueSCYNfV1fWnP/0pISEhKysLIUSul0zeturv7y8tLT148CB5d//+/eju\nsTcnJycxMTEhIWHGn27YsCEsLIy8zWQy9Xq9nd7HXXl2vwoqlTo5OenqKtwe+de8xWIxE4Ri\nbapibepo/1Dd38/VfpX/5Zdffvnll/7+/uQkKfc0wGhxYjAYZrMZTkvbsdlsgiDGxsZcXcg9\nU6vVRUVFBQUFBQUF/f39CCEMxyTRYYqMZGVGiv+ScAz/99eHcz6fyRY7MlYCWziht6KjU4Hn\nt9jV1NS89dZbTz/99KZNm8gtZBI/derUtEhuMBgOHz5M3pZIJFqtVqvVEgRhPUYajUYoFFZX\nV1dVVR05cuRur7h69erVq1db7zph8IRnBzsKhTI5OQmDJ2yE4ziVSiUIwnq2MEW85J/9KHnb\nY11VjfV/L2w5W/r222+//fbbycnJTzzxBNm87dqaFywKhQKDJ+zCvYKd2Wyuqak5f/58YWFh\nVVUVmaKYfG7kxtXylctkq5axRXzykZPmSeTciAWDJ+yFQqE4+kg6+oR3/sRwTg12jY2Nf/nL\nX1588cVly5ZZNwYEBCCE2tvbIyIiyC19fX0SiYTNZoeEhFgfFhYWZjKZVCqVUqlECGm12s7O\nzqioqNzcXL1en52dTT5Mp9MdOnQoISFhan8+ANwGhkmXxUiX/X/27jwuqnr/H/jnnNmHWZhh\n33cBUcEF1zAVsjTTFrtZhGR5lestf2q3vpmmZlJ2tYualSHYtW5WZt2sNLVUNAQRZRFQWUYE\nZBm2YYaZgVnP749TcxEBlzmz8n7+0WPmMHPO+5yOM6/5fM75fGIS31xWdSKv/IeTFy9eLCws\nXL9+/ezZs//yl78kJiZCVzgYzpqamnJyck6fPn327FnyyjkMx7xGhoc8MD40YbzP6BEYzfEG\nWAWAQtYb7kSr1b788suzZs1KSkoyLeTxeGw2e/369Vqt9rXXXhOLxSdOnNi3b9+nn356+yXk\nW7dulUqlK1euZDKZWVlZCoVi+/btSqWSvGWdtHr16sWLF0+aNEkgEAxYBgx3YiYY7oQSOI6z\n2WyDwdD37B2Qoqm14sfTFT+dlt1oRAiJxeLHH3984cKFEyZMgNsFSDDcCVXsdrgTlUqVn59/\n+vTpM2fOVFZWkgtd3EXB08aGPDA+eEocRzTwB76tQIsdVWC4kwHZyzh2paWlb731Vr+Fy5cv\nf/TRR2Uy2d69e4uKigiCCAoKSk1NjYmJuX0NarU6MzOzuLjYYDDExMSkpaXd3jm1ePHiFStW\nwDh2lgPBjhJ3H+xMmkorr/x0+tovZ3u6uhFCQUFBTz755JNPPhkVFWXJSh0ABDuq2FWw0+v1\nxcXFZ8+ePXPmzKVLl8j/vzQmw3/cyOCpY4MfGOc5Ivg+5oSwDgh2VIFgNyB7CXZ2AoKdmSDY\nUeI+gh3JqNfX5hZd+Tmn5nSBvleLEBo5ciSZ8MgRIochCHZUsXmwIwji2rVrv//++9mzZ/Py\n8v6YlwXDPCKCgqeODZoS6z9hFIPtAKOxQLCjCgS7AUGwuwUEOzNBsKPEfQc7E62qp/q3/KtH\nz9bllxgNBgzDxo0b9/jjjz/22GN+fhYcoMsOQbCjiq2CXU1NTW5ubm5u7rlz50wf0QJfz6DJ\nsUFT4gInjXFxc7VySWaCYEcVCHYDspeZJwAAFGK6cGIWzIpZMEvdKa86ce7qL78XFRVdunRp\nw4YNEyZMWLBgwbx584ZbwgMOpKamJi8vLy8vLzc3lxygBCHEFQuj5iQEThoTOClWFOhj2woB\ncFDQYkc9aLEDd2R+i93tlNKOyhPnKo/nNpVeI4wEhmFjx4599NFHH3vssSF+2zkBaLGjikVb\n7Mhu1vz8/Pz8/Ly8vNbWVnI5W8gPmBATOHFMwMTRHhFBdnvZ3D2BFjuqQIvdgKAr9hYQ7MwE\nwY4Slgh2JkppR9WveZW/5jUWVRBGAiEUHR09d+7cOXPmjBkzxvnupYVgRxXKg51Wqy0tLb1w\n4UJ+fv6FCxdMa+aIBAHjRwXEjwqYONo9PMg0erDTgGBHFQh2A4JgdwsIdmaCYEcJiwY7E1W7\nrOZUQdWveQ2FZQadHiHk5+c3e/bsRx55ZNq0aU4zJSgEO6pQEuw6OzsvXrx44cKFgoKCkpKS\n3t5ecjnPyy1gfIzfuJiA+FHuYQHO0TI3GAh2VIFgNyAIdreAYGcmCHaUsE6wM9F0q2p/v1R1\nMr82t0irVCOEuFzujBkzkpKSkpKSfHwc+2ImCHZUub9gZzAYqqqqyDB36dKlmpqaPz4fMMwt\n1N9vbLT/uBj/8TFCfy+LFG2XINhRBYLdgODmCQCGOxbfJWru9Ki50w06fUNhuSTnguTMhaNH\njx49ehQhFBMTk5iYOGvWrPj4eJjWAtwNqVRaVFRE3q9TXFysVCrJ5Qw2y298jP/YaN+x0X5x\nUWyhZadXBwDcDlrsqActduCOrNxiN6D2mvrrZwprc4tuFl0x6vUIIRcXl2nTps2YMePBBx8c\nMWKErQq7V9BiR5UhWuzkcnlpaWlxcXFJSUlxcXFjY6PpT6JAH58xkT6xkX6xUR5RITiNZsWS\n7RS02FEFWuwGBC12AIABuIcHuocHTnzpKa2qp+58aW3upRt5xSdOnDhx4gRCyNvbe/r06QkJ\nCdOmTRu2Qx8PZ11dXZf/VFJScuPGDdPPObaQHzJtnPfoEb5jRviMibS36bwAGOagxY560GIH\n7sgeWuwGJKtrqssvqcsvrb9wuVfxR/9aQEDAtGnTpk6dOnnyZDscOQVa7Chx8+bN+vr6oqKi\nixcvlpWV1dfXm/7EdOF4jQzzjonwjgn3GhUBI8zdEbTYUQVa7AYEN0/coqenx9KbSG/83dKb\nsCEajWYwGGxdhTOg0+kEQdjtwSSMRMuVmrrzJXUFlxsulmuUf3ywent7T5kyZcqUKZMmTYqL\ni2MwGLatEyHEYDCMRqPdHkn7pFarr169WlZWVlFRUV5eXlpa2tXVZforW8DzGhnmMyrCe2S4\nd0y4ONjf+UYksSgcxxFCRqPR1oU4PBqNhmGYXq+33CbW+SVYbuWkhoYGalcIwe4Wpot8Lefd\nplxLb8KGGAyGXq8fbqcN5TAMI+OIRT+wqEIYjC1XJQ0XyxsKyxouVfTIFORyDocTGxs7ceLE\n8ePHT5gwITAw0CblsVgsvV4PwW4IGo2msrKyqqqqoqLi2rVrV65cuXHjRt/YIfTz8owM8YmJ\n8BoZ5h4R5BrgbcNqnQCNRkMIwTlpPgaDgWGYRdvj3/R9wHIrRwhhGNb3mlRKQLC7BXTFmgm6\nYilht12xd0YQHbU3m0quNZZcbS6t7LjeQI6BjBByc3OLi4uLjY0dPXr0mDFjrJbzoCu2n66u\nrpqamurq6pqamqqqqsrKyvr6+r4hg8V3cQ8PdI8I8hgR4jEiyGNEMIvvghDicrkEQVihW8Pp\nQVcsVaArdkBw8wQAgDoY5hYa4BYaMPrJhxBCmm5Vc1l1S1lVc3lVS0XNyZMnT548Sb5QKBTG\nxMTExMRER0ePHDkyMjKSx+PZtHQnpFKpamtra2trr1+/fv36dYlEUlNT09HR0fc1TB7Xc2SY\ne3igW1ige0SgW2iAwNfTVgUDACwNgh0A4P6x+C7BU+OCp8aRT1VtndIrEulVifTq9dZr18lZ\n3k0vDggIiIiIiIqKCg8Pj4iIiIiIcHNzs1HhDkav1zc3Nzc0NNTX19fV1dXV1d24cePGjRtt\nbW23vA7DBN7uQVPixMF+bmEB4mA/cag/38vdRlUDAGwAgh0AgDIuHuLQB8WhD8aTTzXdqrbq\nuvbquraqG+019W3VdQ2nTp06dcr0eqFQGBoaGhISEhQUFBISEhgYGBgY6OPjQ6cP04+mjo6O\nlpaWxsbGpqYm8r/19fWNjY3Nzc39LsfEcIzn6RYQP1oU5OMa6CMK8hUF+ooCfelsGGIagGFt\nmH56AgCsgMV38R830n/cSNMSVUdXh6RedqOpo/ZmZ+3Nrrqm0suXi4uL+76LTqf7+Pj4+voG\nBASQD3x8fDw9Pb29vT09PR16ituenp6Ojg6pVNrR0dHe3t7S0tLW1tbS0tLa2trS0tLS0jLg\nlYJcsdA9Mljo5yXw9RT6ewn9vFwDvIV+XjSm7W9JBgDYGwh2AADrcXFzdXFzDZw4xrTEqNfL\nG1u7Gpq7GqTyxhZFY6u8qbWzua2hoKCgoOD2NfD5fC8vLzc3Nzc3N7FY7Obm5u3tzePxeDye\nQCAQCoUCgYDH47m4uHC5XEvvjsFg6O7uViqVarWafCCXyxUKhVwu7+rqIv/b1dXV3t4uk8k6\nOjoGvS8Bw1zEQtcQP763O8/TjeflJvDx4Hu58b09BD4e0AgHALh7EOwAALaE0+miIF9RkG+/\n5XqNtrulXdnaqWhuU7Z1qNpkqnaZsrVT3SlvkDbX1NTczcqFQiGTyeRyuRwOh8Vi0el08gYO\nJpPJ4XD6vZjJZN7eYNbT00MuVKlUOp1Op9OpVCqtr+TU3gAAIABJREFUVtvT00MuuZsyaAw6\n21Xg4u/p7ipwcXflioRcNyHXzdXFXcQVu/K93VzcXPHh2vsMAKAWfJQAAOwRncUcMPCRDDp9\nj0zR06XolXfrVL3qTrm6S6HpVmm6VVp1j1bVo1X1aLpVeo1W16Np6+4yyjo0SpVpZJb7xuK7\nYDjO5rvgIhexnzuDw2ZwWEwuh8njMF24LBcOk8dl83ksgQuL78IW8NhCPseVz3TpHyIBAMBC\nINgBABwPjUHneYp5nmKEEJPJNBgMdzkYrK5XY9DqEEIGjVanucPQd0wuB6fTEEJ0JhP6QwEA\nDgGCHQBgGGGwWQy2A99+AQAAQ8NtXQAAAAAAAKCGxVvslEplZmbm5cuXdTpdZGRkWlqap+d9\nDno+2Koo3AQAAAAAgOOyeIvdjh07WltbN27cuG3bNi6Xu3nz5r4zTw9GqVRWVVXd5arubxMA\nAAAAAE7GssGuvb29sLBw2bJlISEhvr6+aWlpjY2NZWVlCCGZTLZt27bU1NSnn3567dq1Eomk\n7xtra2s/+uiju1nVEJsAAAAAABhWLBvsqqurGQxGSEgI+ZTH4/n7+1dWViKE0tPTEUK7d+/+\n8ssvY2JiNm3aNOCQ63dc1RCbAAAAAAAYVix7jZ1CoeDz+RiGmZYIhUK5XC6RSKqqqtatW8fn\n8xFCycnJR44cKSgoSEhIuNdVCYXCAZebnh4+fLiiooJ8zOVy09LSKNzBATG7nHlYBAzDmEwm\nQZg7HtgwR56xOI4zmc58tlgHjUbDMIxGo9m6EGdA/gO3dRUOD8dx9Oc/c2AO8hha9JwkBy13\nJha/eWLAM7upqQkhlJqa2nehVCotLS197733EEJGo1Gj0SxatAgh5Ofn98EHHwy2qiGWkwoL\nC48dO0Y+FolEq1atup/duBdbwmdbehMAAAAAsH/WbwexbLBzdXVVKBQEQZiyl1wuF4lEZPo+\ndOhQvxiu1Wp37dqFEKqsrPz66683btyIECJ/iA+2qsGWm9a5YsWK5ORk8jGNRuvq6rLoLjs9\nPp+vUqng9hQz4TguEAi0Wq1arbZ1LQ6Py+WSk33ZuhCHJxQKjUZjd3e3rQtxeEwmE8fx3t5e\nWxfi8Hg8Hp1Od+gvbus33Fo22EVEROh0OolEEh4ejhBSKBQNDQ3R0dECgQAhVFtbGxkZSb6y\npaXF29ubyWSSI5VIpVI6nd531JLBVuXj4zPgctMbfX19fX3/NytRe3u7RXfZ6REEodfrIdiZ\nify5Qh5MW9fi8IxGo8FggCNJFTiS5qPT6QiOJBXI5i6HPpJkv7xVt2jRtYvF4ilTpnz00Ue1\ntbWNjY0ZGRlhYWEjR44MCAgYM2ZMdnZ2W1ubwWD45ZdfXnnllc7OzvtY1WDLLbpfAAAAAAB2\nCLN0769arc7MzCwuLjYYDDExMWlpaWQ/qUwm27t3b1FREUEQQUFBqampMTEx97eqwZYPCFrs\nzET2fUOLnZloNJpIJNJoNNDtZT4ej6fVaoe+rR7cDTc3N6PRKJPJbF2Iw2Oz2TiOw4UW5hMK\nhQwGw6G/uHEcp7z+voOB3M7iwc7eOPT5YQ8g2FECgh2FINhRBYIdVSDYUQWC3YCGDnYwVywA\nAAAAgJMYdi12AAAAAADOClrsAAAAAACcBAQ7AAAAAAAnAcEOAAAAAMBJQLADAAAAAHASEOwA\nAAAAAJwEBDsAAAAAACdh2bli+7l58+Znn31WWVmp1+tDQkJSUlLuae4vpVKZmZl5+fJlnU4X\nGRmZlpbWdzJZhNDJkyd37tz55ptvTp48meraAQAAAADsnfVa7AiC2Lx5s0gkyszM3L9//6hR\nozZt2nRPw+7v2LGjtbV148aN27Zt43K5mzdv7jv/QVdX1/79+5lMpgVqBwAAAABwANZrsVMo\nFC0tLWvWrOFyuQihuXPnfvPNN83NzXw+XyaTZWVllZeXq9Xq8PDwpUuXhoWF9Xt7e3t7YWFh\nRkYGOY1GWlpaSkpKWVlZbGws+YI9e/bMmDEjJydn6DK6urqo37fhhMvl9vT0wLjWZsJx3MXF\nRafT9fb22roWh8dms/V6vV6vt3UhDo/H4xEEoVKpbF2Iw2MwGBiGwTR35uNyuTQazaGnXsQw\nTC6XU7tOOp3u6+s76F+p3dgQhEJhVFTUsWPH/Pz8GAzGsWPHvLy8goODEULp6eleXl67d+9m\nsVgHDx7ctGlTdnZ2v7a36urqvpOj8Xg8f3//yspKMtjl5+dLJJJVq1bdMdjBp7+ZcBw3GAww\nV6yZaDQajUaDOEIVo9EIR9J8NBoNjiQl6HQ6hmFwJM2HYRj5UWnrQu4fjuOU/4BnMBhD/NWq\n19i98cYbGzZsSE5ORgiJRKINGzYwmUyJRFJVVbVu3To+n48QSk5OPnLkSEFBQUJCQt/3KhQK\nPp+PYZhpiVAoJFOwUqncs2fP6tWr2Wz27Rv9+OOP8/Pzycd8Pn/Xrl2W28HhgEajCQQCW1fh\n8Mgzmclkurq62roWh4fjOIPBILsCgDkwDMNxHM5J8+E4jhCCS4PMR6PREEIOfU4SBNHe3m7N\nLVov2On1+s2bN0dFRaWnpzMYjKNHj27cuPHDDz9sampCCKWmpvZ9sVQqzc3N3b59O/n0vffe\nQ39+F94uOzt73LhxcXFxA/61qanp6tWr5GORSESnWzXLOiU4hlTBMAwOJrArcE5SiIx3wHwO\nfU5a/8ol6x2ssrKy2trarVu3ku1qCxcu/OWXX3Jzc8k7Ww8dOtTvx41ard65cyf52NvbW6FQ\nKBQKgiBM8U4ul4tEopKSkqKiot27dw+23S1btmzZssX01MrB2fm4uroqFAroijUTjUYTiUQa\njcahrx2xEzweT6vVwvVM5nNzczMajTKZzNaFODw2m43juFqttnUhDk8oFDIYDIf+4rZ+vrde\nsCMIgiCIvoGA7DUnLwCsra2NjIwkl7e0tHh7e3O53KCgINOLIyIidDqdRCIJDw9HCCkUioaG\nhujo6KNHj6pUqrS0NPJlSqUyIyMjLi5u7dq1Vts1AAAAAAB7YL1gFxUVJRKJ9u3b98ILLzCZ\nzJ9//lmlUk2YMMHHx2fMmDHZ2dmvvfaaWCw+ceLEvn37Pv30U7FY3PftYrF4ypQpH3300cqV\nK5lMZlZWVlhY2MiRIwMDA5csWWJ62erVqxcvXjxp0iSr7RcAAAAAgJ3ArNn7W1dXt3///qqq\nKoPBEBgY+Pzzz48ePRohJJPJ9u7dW1RURBBEUFBQampqTEzM7W9Xq9WZmZnFxcUGgyEmJiYt\nLU0kEvV7zeLFi1esWDHEAMUO3aJrD6ArlhLQFUsh6IqlCnTFUgW6YqniHF2xlNffd5CQ21k1\n2NkDhz4/7AEEO0pAsKMQBDuqQLCjCgQ7qkCwG9DQwQ7u2QEAAAAAcBIQ7AAAAAAAnAQEOwAA\nAAAAJwHBDgAAAADASUCwAwAAAABwEhDsAAAAAACcBAQ7AAAAAAAnAcEOAAAAAMBJQLADAAAA\nAHASEOwAAAAAAJwEBDsAAAAAACcx7OaKNRgMti7BseE4DhPFUoJGoxEEAQfTfDiOEwQx3D7K\nLAHOSapgGIYQgnPSfDiOYxjm0F/cBEFcv36d2nUOPVcsndqN2T+Y39pMrq6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UfX09tSuEYHcLK8wl/M96hqU3YUNsNluj0TjHadMj7zz+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+sKcxou5p44ceLEiRMIIQ6HExcXN2nSpPHj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\nQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 857
},
"id": "hdT_FYrtNmma",
"outputId": "fe728ee6-0c04-400c-8dd3-1b97d21e4457"
},
"source": [
"#Box plot and Density plot of Diamond prices by their Colour\n",
"df %>%\n",
" ggplot(aes(x = Colour, \n",
" y = Price, \n",
" fill = Colour)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Colour)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Colour ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend"
],
"execution_count": 38,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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/zlSi4KADBIVPSMXRzHu+66a3V1dSUX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\nrkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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HnzaOd96qmnnnrqqdRLSFCcJkhQLAqc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\n3acP97d7/fXXV69eLctyW1vb8uXL/+mf/unDDz+cfMWurq6+v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RCsmmfV/P33CgYCjhGzODAk9g8Jff1i/4DQOyB091p7+v56+fJnn30W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19+4MCBjRs30jR9+PDh3NzcoqIigiBKSkrq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\nAEBD/D84n/sZj5hUfwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 857
},
"id": "EFRVn7wZNy9E",
"outputId": "59f2bd76-86ad-4c4e-ed6f-833f057710af"
},
"source": [
"#Box plot and Density plot of Diamond prices by their Clarity\n",
"\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Clarity, \n",
" y = Price, \n",
" fill = Clarity)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Clarity)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Clarity ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend"
],
"execution_count": 39,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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d6g3+0Htqqq6m/+5m+69zY/0d7vRZxhV15ePnr06KeeemrkyJGdnZ1PP/30lClT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\nAIEQdgAAgRB2AACBEHY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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
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p2OoiiO47JdkJynzACn0+lwZ45K/gd26KWeJmXib1xGVSjxXDQazemJ1McJZVZ6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Zfmz59fW1t73XXXPfvss36/3+wLAQAAABjgzA3s2tra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2GkKWZVEU/X4/ZqXPniAIPM/rC0NDNpxO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\n/dNQq9IyDEsRiif//9aUMTK1MujOfTzhOWvTN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AAAQGper/fEiRPHjx+P7HDJX8UuWbKkpqZm9uzZxcXFarV63rx5zRd6CJYn9LGNjY3v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\nRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 927
},
"id": "m-ewav1hN8G0",
"outputId": "6a814270-7633-4457-937d-1439dd335944"
},
"source": [
"#Box plot and Density plot of Diamond prices by their polish\n",
"\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Polish, \n",
" y = Price, \n",
" fill = Polish)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Polish)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Polish ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend"
],
"execution_count": 40,
"outputs": [
{
"output_type": "stream",
"text": [
"Warning message:\n",
"“Groups with fewer than two data points have been dropped.”\n",
"Warning message in max(ids, na.rm = TRUE):\n",
"“no non-missing arguments to max; returning -Inf”\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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KY+M8vPbm8H9we7+h9Tl2EHEIfRQiwr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\nx48fTz+12WxPPfWU1hsCAAAAsMBpHux6e3tDoVB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lnkMsFkt9fX22f9X2jJ3P5xscHNyxY4dagdfr/TDDExMAACAASURBVOxnPzsyMrJq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\nYAcAAACgE/8P8kpR1EpaRlsAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 857
},
"id": "h09xcqe8OENU",
"outputId": "9eae4adb-6b6b-4e60-e9a9-ce0aa09bb432"
},
"source": [
"#Box plot and Density plot of Diamond prices by their Symmetry\n",
"\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Symmetry, \n",
" y = Price, \n",
" fill = Symmetry)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Symmetry)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Symmetry ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend"
],
"execution_count": 41,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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MEOAADAJwh2AAAAPkGwAwAA8An/P/6eKcXaxJRiDmJKMQcxpZiDmFLMQUwp5hSm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v6WBoJgBwAAAFBTLs08gR67kiDYAQAAQO2ygp1Yzn3s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\n7AAAABSCYAcAAKAQfwKStt0bX2olDQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 927
},
"id": "BKsZpQseOLii",
"outputId": "70c060c6-849f-4cd1-f3d2-8f5d1ae14ccb"
},
"source": [
"#Box plot and Density plot of Diamond prices by their Certification\n",
"\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Certification , \n",
" y = Price, \n",
" fill = Certification)) + \n",
" geom_boxplot() +\n",
" coord_flip() +\n",
" xlab(\"\") +\n",
" theme(legend.position = \"none\")\n",
"\n",
"df %>%\n",
" ggplot(aes(x = Price, \n",
" fill = Certification)) + \n",
" geom_density(alpha = 0.5) +\n",
" facet_grid(Certification ~ .) + # facet_grid\n",
" theme(legend.position = \"none\") # Turn off legend"
],
"execution_count": 42,
"outputs": [
{
"output_type": "stream",
"text": [
"Warning message:\n",
"“Groups with fewer than two data points have been dropped.”\n",
"Warning message in max(ids, na.rm = TRUE):\n",
"“no non-missing arguments to max; returning -Inf”\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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ClJkvTt23fs2LF33HHHIT/zLV++fN++fWeeeWaSJCUlJePGjVuzZs3zzz/f/iWJ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\nxZ/85Cerq6sdtHRlbW1tn/3sZ5ubm8eNG/e9732vqKiomx+xx+b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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
},
{
"output_type": "display_data",
"data": {
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WiURCJhs9lyv3ofiqJIksSWaYhEIpFOp1mZRtHPEzC7iqIny3IikSj23VySJI/H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\n",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "PQehHaATCWgo",
"outputId": "c43c76a8-c464-44be-9825-0c6b64cbe424"
},
"source": [
"library(corrplot)"
],
"execution_count": 43,
"outputs": [
{
"output_type": "stream",
"text": [
"corrplot 0.84 loaded\n",
"\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "F5YVpyLCDCum"
},
"source": [
"library(ggplot2)"
],
"execution_count": 44,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "nAb1_PvKlaC4"
},
"source": [
"## Continuous vs Continuous"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "3UBHomrfPePs",
"outputId": "94af30ef-374e-49b3-9696-1799c9841a4f"
},
"source": [
"#Scatter plot of Price vs carat (continuous vs continuous)\n",
"\n",
"ggplot(df, \n",
" aes(x = Carat, \n",
" y = Price)) +\n",
" geom_point(color=\"cornflowerblue\", \n",
" size = 5, \n",
" alpha=.8)\n",
" \n",
"\n",
"#The diamonds with high carrat are expensive while ones with low carrat are cheap."
],
"execution_count": 45,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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XAI2KkjAdB7kmvWJCV7aYVuRxQHAvkct43zNz+sfVvu9NmazWP49af95jHM1djp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\n+yUuEwEAAJuLYNeH/Tv9nv3pZK2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"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "yaTOyaE_75GJ",
"outputId": "a5080ba5-9859-4d15-d824-8c9a332f4243"
},
"source": [
"#Scatter plot of Price vs wholesaler (continuous vs continuous)\n",
"\n",
"ggplot(df, \n",
" aes(x = Wholesaler, \n",
" y = Price)) +\n",
" geom_point(color=\"cornflowerblue\", \n",
" size = 5, \n",
" alpha=.8)\n",
"#Wholesaler 3 has the most diamonds of lowest prices while Wholesaler 2 has the most diamonds with highest prices."
],
"execution_count": 46,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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6gBuHAR7ACgRCOT0g67fPm13zpM6vaLFbvSdF3+RSZ3dwuB4xMAqsP3kgBQoplJ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\nTNGjnaNDrBVLr1GSFOSuIJldc2nc8UFaAPhJDXfG7o//+I9PnDj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KdnfdddewxwEAAICfUHmwW19fv++++zqdzgtf+ML5+fkKxgQAAICn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\n2AEAAEQEwQ4AACAiCHYAAAAR8f8Bgy1E02YXaroAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 420,
"height": 420
}
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gxvV25Iql2Ar"
},
"source": [
"#Frequency of Diamond prices by categorical variables"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 437
},
"id": "GvOXmxVcPwJV",
"outputId": "cff641ad-789b-452b-db05-e87bc0d7fbaa"
},
"source": [
"#Diaminds with V And X cut are lowest in prices and highest in count. \n",
"\n",
"ggplot(data=df) + geom_histogram(binwidth=500, aes(x=Price)) + ggtitle(\"Diamond Price Distribution by Cut\") + xlab(\"Diamond Price U$\") + ylab(\"Frequency\") + theme_classic() + facet_wrap(~Cut)"
],
"execution_count": 47,
"outputs": [
{
"output_type": "display_data",
"data": {
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