{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <p style=\"text-align: right;\"> &#9989; Put your name here</p>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Day 09 Pre-class Assignment: Intro to Machine Learning \n",
    "\n",
    "\n",
    "## Goals for today's pre-class assignment\n",
    "\n",
    "</p>\n",
    "\n",
    "1. Define machine learning and describe the seven steps used to build machine learning models of data.\n",
    "2. Explain what a classification problem is, and the concepts of false positives and false negatives.\n",
    "3. Make a data set that could be used for classification and plot the data\n",
    "\n",
    "## Assignment instructions\n",
    "\n",
    "**This assignment is due by 11:59 p.m. the day before class** and should be uploaded into the appropriate \"Pre-class assignments\" submission folder in the Desire2Learn website. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Our Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. A quick introduction to machine learning\n",
    "\n",
    "In this assignment, we'll begin our dive into \"Machine Learning\". You may have heard the term thrown about before, but might not entirely understand what it is or how it is used.\n",
    "\n",
    "The two videos included below should give you a basic understanding for what machine learning is and how it is used.\n",
    "\n",
    "**Watch the videos and answer the questions.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"640\"\n",
       "            height=\"360\"\n",
       "            src=\"https://www.youtube.com/embed/HcqpanDadyQ\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fa199b4fc90>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"HcqpanDadyQ\",width=640,height=360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 1 :** List three examples of machine learning in our world today."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Do This - Erase the contents of this cell and replace it with your answer to the above question!  (double-click on this text to edit this cell, and hit shift+enter to save the text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 2:** According to video, what is the definition of machine learning?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Do This - Erase the contents of this cell and replace it with your answer to the above question!  (double-click on this text to edit this cell, and hit shift+enter to save the text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"640\"\n",
       "            height=\"360\"\n",
       "            src=\"https://www.youtube.com/embed/nKW8Ndu7Mjw\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fa198df30d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"nKW8Ndu7Mjw\",width=640,height=360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 3:** Why might it be important to seperate the testing data from the training data ?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Do This - Erase the contents of this cell and replace it with your answer to the above question!  (double-click on this text to edit this cell, and hit shift+enter to save the text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 4:** Why is it important to prepare data before putting it in to a model?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Do This - Erase the contents of this cell and replace it with your answer to the above question!  (double-click on this text to edit this cell, and hit shift+enter to save the text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 5**: The video is about the \"7 Steps of Machine Learning\". Those steps are reproduced below. **In your own words, try to explain what each of those steps involve with a sentence or two.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Do This - Fill out the 7 Steps of Machine Learning:\n",
    "\n",
    "1. Gathering data involves...\n",
    "2. Preparing that Data involves...\n",
    "3. Choosing a Model involves...\n",
    "4. Training involves...\n",
    "5. Evaluation involves...\n",
    "6. Hyperparameter Tuning involves...\n",
    "7. Prediction involves..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Various kinds of machine learning\n",
    "\n",
    "There are lots of different kinds of machine learning out there. You might only associate ML with the kind of deep neural networks you see discussed by Google. But there are many kinds. Look at the image below:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://drive.google.com/uc?id=1f-1hXjQwMaVaZ5dGQzJFsBDMo-QnPu-Z\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See anything that looks familiar? Regression is a whole category and OLS is one kind of machine learning. The diagram above is based on algorithmic approaches but here is another based on the process:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://drive.google.com/uc?id=1gi6AKhfpA2XW9InP4iQ34lqJRGu7D8rb\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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unt4ltG5/KjWtRSEtrUnLdJF++7dq7LKWw/Ijosd4TLVGZckPRYy7haE+EiMwlTryEPlgLCEkpQtxeMINTJWoTdm5C7/CugU14PGtVwgrSVr3xely7fIbUhOjSWgmI4CSoHJTwPEgNM2gv8fai4WKLZyqXFttzau0+4NtOCGwmCy+I8REhxIS9MdkPN5QgkpQ27qx16+LbZbPdb+jaRlbLVxuJulvuTnhaIL7UqNHbeirfjHdtS2pDDnkOYUpLrZTkcugqUEKx4sN2zbXSLXaXYbEm2ymI8p3woSryli3StLiYkhAeajockONtEklzK1AAFJVJnR8kptdqSQQU2+CCkjBBEZoEEHiCOys9SggTaezyk3Ods20w6bftJcYd2U8hpZjR4R1vbSRXHANCFPPW9pIBPlG+rODoVndNv2FnaHY9SULKG3L5rUlJKGwq1FKdawMIyeAzjJ4VI9KCDtoHtmHJ9wcvSJGzd1EhTAkRrhc7U7dYzYxBlsSoCmW7mpTGkaPxVtKCmzyGcVerRdJ+z1plzWJ91Fnv7s8MPtLbu9w2fbenwo7jjDaWlm5CBKbfCNKVr3IBGtddDUoIGXL2SmuRI9otq73KflRQuOPvNpq3tJebdel3NySgog7hI3gadAcWtKEJTk5GZk3ZrZvaG8SrmHmrbtA1bpDNy3LjkOLMt0fwF+HMdaSfBNbKWHW1LCUKy+NWRipgpQQ3bNoDddrbZJix5H3azZr0wzOdYfYTLkql2db+5S8hKlRQkNBDvmuKD+jIRqO1dP7KnNmtokISpxa7VPShCAVqWpUZwJSlKeJJPUK3qlBCvStZmW7hYbtPiPS7azAl2+cWESXHYBlGFIizFMxPxlxwuK62sjOjeoJGMke+yC9nZdzgmxW/wC8ER9++9dQ7MEO2kMLZaSw7ICm5c10uqb3TZBQguqURhKVzHSggSNdbc5JuY2nevC7i3cJyI1qbVePBnLch9xFt+7bXbcMXNLkUtKU4pLq9a1hRSEhKcEbVITsDtVHEFyG4Zu0IagJaSVMpXdXS0wy2zlK0JSQlJbykgApJGK6YpQad02Mqc2d2iQ2lS1uWW7oQhAKlqWq3yAlKEjipRJAAHPNetibULBFQUkKFnZSUkEKChASNJHPVnhitspQQJHgvfcfRgjdO6mJ2z5eTu16mQjZ24NrLwxloBakpJVjBIFb1YWFjaq9uFKwhVlsCUrKTpUpEu+laUqxgqAUgkDlqT2ipBpQRy/EU5tY6SlwNr2Z3W8CVaQtV0cykKxp16TnHOtZ6KNuodhtsSyXovQblaWvA9x4JLd+8Wo5U3GlWsssq8PQ80hCtDWpaVKUlQBAzNlRrbWNrrc2YjTVqvTbanRGuNwusyFL3ClqUym4R27c+H3WwoILiHBrCAdKSTQYz7NMiQ8nap2SwYjr21E51UdRQXGEu2y0ONNPFpSkb8NKbC9JI168E86l2tV6NNl12qItEh4SpkuVJnzpCGy227MmOa3Ny0pSi2whIbaQkkkIZRnjW1UClKUClKUClKUClKUHAv2nbn4dtBc3GhhEd1EXIPnmK2G1kEcvLCh7Ki5Lp5ZJHd9fxqTun2Cpi/3KME6EeFOuJ/WEnRI1c/8AxMe+vay9FaHUtOKeIS4kKLYHaMnj/Cs17cfdox0m3UI9iNhzgAc9QHdx4n11W08QdI55xrCAScdZwakO+bBykhbcNDSW9P5Qbxx9wY8xtptJ09eSawdm6MLq6r8SO40jPnP4QfY2CVfsqnOJ92ifHvE6iNsE3GOrO8dKlDBCU4V6gQRj9vrrbNkdly6dZQs444zrcJHEDgeOa3LZPo0dCkBxtSU9RIxkJPlEdWkdveOJzgSsjZxlphLWjQ2AApA4IPLivPBSs4PlZ44rPktM+zTi8WY7siBez3hKluBsIbwhI5YVhOCpJAwcnPEZTywTzEN7XW92LJU2k/k1nSojOdJynUOtOCM9tddS2mQ2pDenIOSAQVes9fZ+yoB6WbYBLUdOA6jXwxx4/wBFD3VXx76tqVPKxxEbh3HsIppdvgussIiokRYz+5bQEJbLzLbhTpAwMZx7KzlaT0FSlvbPWNbgVr+74qCXPOXumw0F/wCqoICh3KFbtXVhySlKVIUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgVpeym2Tlxu97gtMJ8Ds/gTCpes5euL7an5MdCMaSllpTAUcghS8YPVkukjalmyWu4XN/GiDGde0k43rgGGGQT+c46W2x3uCsF0A7LO2qyxUSx/yhOU7croshIccuVxX4TJ3mngVo1Iaz2MpoN/pSlBpXSTtouzP2TWwlcG5XFFulSda9cJ2U0sQFbtKCktLkpS2palJCMp56uG61qnS1skm+Wi420kJVKjqDDhz+DLbw7De8kg+RIbaXwI801Z9CG1a71ZYMt8aZYQqNcGyNKmrjDUY01CkZOjLza1BP6K00G70pSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpQ0HH32q7KU7TMrCgRcIkVenrCkOGKR7mkq/wB6vTaWNK0IjxHEsJ0YcdIzpQMBKUAHOo4Oe7HbVfSw6/cL7DnPI3aG5ngDaeaQzGkKcaWFDByoOgqB5KJwSMVltpIjunLAysjyScADsJODy9VYslomdw6OLHavUtMb2NuwGpq5OL6w2AWQe7zyV++tp2NvM6M8luccngCTnJIwEkE8QoDOe3hy41q0uxXUqaWzNUlYWsPBRfRG3fkbtSBGILqgAoYcUc5GT2Z+5sDWjdOOufiBLW9CArdjIUVBvyOsHycD186raGzHGtzETH5n3SLtHcn2o+8aHlchnl6uByOrl3VGUq0XS4Pbx+4uRmzxDLTi+XADA1aerjwIrfbi8XIzKVcRgagOeARr6+zNajtfseLgytppbra1LSpDh0Pt7sBSd2tlzCTkEK1k6goDHAYrypMzL1yVmd/r9hvY/dHX4bKLoIKV62xx7HBoypJ7FDurXumC0uGPFlhIC2nEtudgS8cAnr0hzSB/rVutj2D8GLIYWpndNpQptHFp5QHlOrZADbKlniQ2B1DjivbpJh/8nSGsZWpAATw4u7xO7HtVjHrqlp1ess9qeifTpOvRvuvum1BkpLaYENKCnlhMdsfwrYainoKiuQlyIWtRabYjLQ2cBDSgXEOKQB+c5wWo9asnrqVq6eK/Ou3Kz4Zx34z9p/8AX2lKV6PIpSlApSlApSlApSlApSlApSlApSlApSlApSlApSlApSvNxYQCokBIBJJOAAOJJJ4AAUER9L//ACxe9n9nUeUw259/3dOf/wCFbXAm3sOJIIW0/cCjI4HEYnjUwVEP2d0m5LvO0zoXm/zNEAOawW7JbNcS3gNr4sl1SX3lAABW9SePOpeoFKUoFQ9smBY9rbnbcbuHtOyb3C81DYusbTHvLKBnUt5xvwaSTj9LjUw1Ff2k7c8m3MXmGkqm7My2ru0kYSXorIKLnFUvBIachLeyBxJaRQSpSrKyXJmZHjyoyw4xKZakMuDk4y+hLrax60qBq9oFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFDSlBzP0iW4okPM6gjczXpAJHnHwkyGWkqx5Ci281jGM9+MVe2WUlxtJVx9fb7alTbzZJUpSn46UqcWEh1tRA3ugYbUgqGAsDhxIHAcRjjE172ek2l9DbxT+MjeN6DkAaiFNlRAyseTnHDlisFsc1m39LrRnrfhP1a1Mfj9V5JbQhPADjz4cePUMisMUhLiV6Rq04bHd1kVkFO5GTWC2imyWltOMoacwcLS4SFbs+cG+BGog/sqnKd6b9Rx2211rS00f1cE9XH29wq/tTAKEqGB1oIJHAjr9ua1B/bF2W3uokbS5gazIStsN4HmnrUo9nca2uxOOJaQFaNQ89KeQ1HPk546RnrrxndZ2vut/ZsCVaUZPnY4/RrRdo2DOcTHCdWvKyNQQMIICSSTjSCQes8ORrY7jK8jnz4Ve9G2yyJgelOOOowvcJCdGlTaQ24rmkkK1EDPr59TjOSdR7subJWk7n2Z7orgOI3zroGsNMRyrqJbClKwSMkDWgZPPFb7VvAiNsoShpOlKeQ/eSesntq4rqYqcKxVx/Iy/Fva/7vtKUr0eJSlKBSlKBSlKBSlKBSlKBSlKBSlKBSlKBSlKBSlKDFbVX6La4cqfNXuo0Npx55eCopbbGTpSkZUo8AAOJJArQftHXl42lq229weG7TSGbTEWj8QNszOM6V5KgS03BD6tQPAqQa2TpntnhlgvsYDKnrXcEIz/3vgjpaPsWEn2VxR0R9NshcmxJFtfvFzstqNoskJrAbVKkurRInOO4K2tFsYis6QkggOkqQOIDvbZ61MwIsaHGToYiMMx2U/otMNpabHf5KRxrIVqPRY3f/A95tI5CM990ueD29soiwWShARGS4tSlvughalLKiMuaUkhIUrbqBSlKBXk+0lxKkLSFIWkpUkjKVJUMKSoHgQQSMV61gNvBdfAXzZVRBcUhK46Z6XFxHSlYK2n90pLiUrRrSFJIIUUnkCKDQvs6OqgC77NPKUV7OTCiIVla1O2W4apdrXrX+UUhKnWTjITuEipG2Zv0S5MqkQnUvsh+VHK0ct9DkOxXwM8wHWV4PJQ0qGQQTxf0ndPcqHc/DHbbKsm0LNtuNmuUNz8Rh5p5tb1qnRX8gHczQHOKSFNyBoWsZNdH/ZGtIh7I2JHW7HXKUesmZIelDPqS6lPqSKCV6UpQKUpQKUpQKUpQKUpQKUpQKUpQKUpQKUpQDWgdNtpL0JMhAyuGveHHPcr8l0ew6FepBrf683WwtKkqAUlQKVJIyCCMEEHmCKravKNJrOp25rQ9lKSMe2tfu+0EZsqQoSXlpOFJaZcIHrIT2/o5NX91JjS5UYDAZkPNhPXoQ6pKD/u4q3VFLis6CFjljPH21zo6nt3MNotFdrZO3MclOIEpRAA0gLGByynWjPsPL2itnsd+Q+dLceW3+kXUo0o5nOoKyePYPXWMtsB4rwttWgHnyyMdeMd9bK2ktjSlIQMZwBj1ZqMlq/o05Irrrf8AD1ubwCefJP1n3VLPRxDDNui45uo35P8A9f8AEHuSUj2VANzklxe6QcqPAgckp6x/rGuh9hz/AMnwe6LHT/utpT/Cr+HEcrOR5lpmKs1SlK6LAUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgxm08Zx6HNaZALjsaQ22knSC4tpaUAnqBURxqMvs1dCcPZKEkqS3Iu8lA8NmAZ0ZwoxIilDKIiCBx4FxSdSseQhEwUoFKUoFKUoFKUoIw+0D0PW/ayEpt5KWZ7KCYM4J/EZc4kNukDLkRR85HVkqGFAGtg6GbNJt1is0KYgNSYUCLHeQFocCXWWktqAW2SlQyOYNbfSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpSgUpUKbadPMJq4ItVqQmZJLu5dlLXiGwoZLqW9HlSnUhCsgaU5wNR4gRM6jaYjc6aj0t20i4znGjhaXtfr1IQs/vNaxE2nDfB0aTyJ6vXn38DW3TpTkhxbrx1LeVqWrAHE8uAGOQAxWsbTbN6tTjRxnmO/uH8q524mdutStqxWa/Mzbe2UQBP4rekjinWOvs499Wk3alx/yI353DXjgBy8jrPr5VrNs2cAOHCOPIhHH9tbjYLMhtScAk9p/gKrfT0m+S/UriyWzco1E5WeKieJ4jtz53I+qpt6MpqHbewkKBWyFNrTninS4rRqHMZRgiowfbATgfXfWqbaT5VviSpkOQ9EkMIQ4240cZ0uoCm3W1goeaUlRGhYIzg4yAargycL9/V08fIxcqdfT26jpXO/RP8AaTiSEoj37ESQMJEtptZiPdQLqEalRl9vNHM5TyE+2q4sSmkPRXmpLKxlDrLiXW1jtStskGus5S7pSlApSlApSlApSlApSlApSlBGiWLpcrre2Wr3cLcxb3YDTLEOLZXEYft8eS4pbk+3POlZW4r87AHVV5sntM9FXe413mMPN2QxnDclobif4WTEEjTPQ2dyiW3hZUpAQlSHWCEJJOcPF2NYuN52lcfcusY763NtOQLtdrYkj7pjZWG4Mltl9aVE+UtK+WDwGK1mXYHWtn5NtbYfbnWi72mVc3IbJfl3ZmLcIMw3hnwtDpuMp2HHS6ULDx3sRxjy92AQlXZnbm3XB7wdlUtp8tKeban225Wxx9hJSlbsZFyjNGS2kuNhRb1ad63qxrTm3kdI1oQ+6wXnjuXVMPSW4E923MSEHQtiRdWmDCYfSvCChboKVEJOFECtW2fehT7nbFsXm735cFyXIylq0JgwFKhPRFC4vQ7cwtLqxK0pjlZWVYWUaWlKTjNkdoYcDZ9VkmNuOXaNFlwpFrLCzKucpZdQ7JYbI0yIcpbu/MnO6SmSpTq0aXNISHcNvbUw1CeW+spuMYy4KGost9+WyBGV/h4zLKnnHdMtg7oJ1kKUdOEL0+d06QLZG8HSsznHZEduWmLGtV0lzmoruQh6XBixVyISCoLT+MhHlIWnmkgaZsFG1r2CWUFaWtmZag5pKkNuLibPoSdWMIWpBeA6yNffVtcsW6+X124XifZGriu3yIb7bVsMGSyzb2Ia4yZVwt7+mW3JZkL3AWnKZaFJSSpw0EjTdtLa1Fiy9+XmZqkoieCsvzHpbikrc3ceLFbW+6tKGnVKSEZQlpwq0hCiPNnbq1qiypZfcbahupYkoeiy2JbMlzdBmOqA6yJRkO75jdthsqd37WgL1pzHyYVvYt9tdck3+2JcuN1mx7xJZgMPRHprkx1564MORfBYkKWl59aUPxgEl1sLDTpQK+ruLc6Lc/C3X7hBZm2ZcW+2mG21J3qHWnkSypIUxOahPpYcU+22tnQ4tKmyGnaCQLftZAnpltNuS47jLG9dbkQptumNMOJWEyGmZrCHHEeQsBxCVAKQU+cCKthtZbbdb7Yt2XKlIlMR0QlFmVOulzAjJcDqYkVgyZL6mRvVlLQ05UpQSM41Ox3p2RImssT2doYabPMUq6IjRg9FlBxtDcJcyAlEWUXkKdcLTaEKbMMFQO9Ri02ckptatmLhcErahnZhmAZS0L3VulkQJKkyzj/CtvoaxvV4QFQ0pUQVoBDf4e3drdhTZ4fW3HtqHlzg/Flx5UIMNb90SYD7KZTS9zhYSW8qSpJSFBQJ8rd0hWqRJaituv631KRFedgT2IM1aELcUiDcXmExJi922tYDTitSW1kZCSRG23Z+8o23FxgIcchv7Li2svJacCbjLis3p9xcQEDwphCJ7DaXkApUouJSToON96SImItpS0jgzeLBoS2n8m2ifHQrAQPJQGioHqAz1UG80pSgUpSgjsvTr3cLkwzMft1ttLzUNaoW6TMuNwVHZmSAqS82vwaC01KjoAaCXFub7K0pQAvK7PWu6QJm6VKeuVseYWoLmFjw23y21o0Nh1pCDLiOtqWfLCnG1s8VKS4A3gm5zmz1xuqpUeY9bLtKRPYlwocqf4FLVEjxZcWZHhocfbaWYqHkPBBby+6lRQUp15zZzamTc5ifBIrzVqaYd3sqfDlwn5UxSmvB2oEeWlt3wdDQfU46tvSorZS2VYcKQxGwe1bUSx2V2WuTJkTEJZYbbS5LmTJBDzpSgcVLUGmnXFLUQlKWlKUoAZrPxduIBjzpDpfii2f89Zkx3kSY+WkPIwyhKlSdaFp0FneBZylJKgUiP7a9NhWvZhpwT4EfdPJmy4tuMufEdSkGMwplyI+Ykd3L6VvFryd22kKQXAoU2yGHVbUOO2+8zIUqHZghMnwxqfOZbM4SHYqHdD8d9rJWlhAbcBbbISlTqSQkS17ZRnX0xnm5UB9bDsppE5ncb+MwWkvuNOaij8MvM6kKIWkOJJSBxq3tW38J9cQBuayzcFBEGVIiOMxZilNLebS2tXlslbTa1I3yW9eAE5JAOrWKZJVNQ1Ck3W9QXIcxUpi7QBHRFIbbEVqPcHYMdxUh1etC2nlPKCSVHd6RrsNm5C2V2hq0P34t76My/ZrrAecjW+G2FCQpy4S4SZLDrCBhtSpK0uFtCUhYWFAL3pD2ibiWq7m3ruq3Hbi5Feea37rsR96VEYlCM6TmKgNvHdaeAV5vGth2UNuZlW+OybozIVb7i4xGnyJ7pMVqdBRKdk+GOrU5IDzsbQpxRUEPL04BUK1m8WySbVfkCPIK3doEutthlwuOs/edtXvW0BOXGtKFq1jIwhRzgGs9tLbH3toIim0uobOzt/jGSEL3TL8ifYSylToGkOlLTqgnOSGVkeaaC5Z6TLaspWEzPA1SBFTc/A3xbFPl7wdITJKf+bqfwgSMbhRIw4cjOQve2ceNIdioYnzXo7Tb0lECI5I8Gad1bourGEqdUG1kMoKnSADowpJOl7L7S+DWe32hdplvXONGh2xy2LgSkwi4w21GcdVcFR1Q/uoJQp0PalAoASAXDu6uLrdXhc7m1NVeI7YdjJt8a0251bdyjuQ4uX3rixFWsShMMpkgvsJabZaUsJSd6QudqOkpLUjZzwBt+ZDvDri1PR4jj6H4irRcZrAiqBH+I3sZlRSRkI15A6tihXaCJtyUXn2nmbfbZMtElxxuLFhuKuRjuhLh3TLhLMzeKGDhlvVwSmo3tMOVBtmw8mTDmhNplPLntMRplwlRUv2a8wUqLDLa5UhIkyWElYQo4XrPDJGR2y2el3N/a5EZpzFx2csjMRUhtxiPIkJd2jWuMtbiRp4PMJcSeKBJTqAyKDa7b0jQHlxMt3COzPcS1Cly4EiNElOu5LKEuOpCmFOY/D36W94SkI1FSQapvSHBTKmwWW50yZb1NiXHhxHH1x0ux2JTTjiuDaULbfToGrU4W3ggKLTmnW9r9oU3yJHt8OHcUy5Mu3Lebl22ZERa0Q58WZJelSX2ksBbQYVuw2te9c3Zb1JytOe2AgONXXat1bTjaZNzgLacW2pCX2m9nrO0VNLIw62l5LyMjICkLHMGg2fZ28R7hGYmRF71iQgLbVpW2cHgUrbcAW04lQKVIUApKkqBAIIrI1pXQzDdYtq0PNuMr+9do3Ah1tTat09tHdXmVhKwDoWy42tJ5FK0kZBFbrQKUpQKVDXSR9oWzWpxceMly6SWypKxHWhEVtxPNC5Ss5V27tKwMEHB4VCe0v2lNoZJUI3gdtQfNDLHhDwz2uyiULPeG00HX9/vkO3tF6bJYiNDm5IdQ0n1DURqPcONRDtZ9pewxQtMJEq4uDgnQ2YscnlxdkALx3htVch3y8ypzypEx9+W+rm5JdLivUjJw2nl5KQAKx63D/ap0jaT+lLpuvV7BZLn3fEPONCccQXAeqQ/wW92afJQetNR/s1OEWXFfOQhmQ0tZA/7MKSXB/uaqxqlZ6vo01e76+vdSY3GiJ1O3WYhhSdSDwIBSRyI5jHV21dQ2NSMEcT9cKjroK2yRJYRbX1jwhhOGSTjfRkjgB/4raeGOtISePlYl+NE6xyH0a5lq8Z1Lu4p51raGvGCG+HIdQrIwI/fn6/pWc8GBHEcv2e2vFTQB9vOomHrwmVuxBJ49WajH7Rl0TFhIiA/iznE8BzQwwpLq1n1rDSO/Kuw1Km0V9jW2I7LlrDTLQ6uKnFHghtpP/aOqPAD18gCa5D222meu0x6Y/gKcwltsHIYYQTumknrwCST1qUs8MgVbBi5W5T8tWPy7xSvH6rfwww/d+z3d+azuyG11xs695bpb0VZOVBtf4TuP+9jqBae6uKknl38MAfbjt/f3VVnt547P5V0Jcp0Xsf9qOY1pRdoLUlHIvQ1eDvessuktuK9SkCpZ2e6f9mJfBUxyEv9GdHcZAz/AOMgKZ/99cOZ9R9/sJ/bRP1x+hUD9H7HtTbZwzDnQ5Q5f4eUy6c9hCFEg91ZmvzGOMpPWOIPZ6uxQqS+iXpduljeSd67OhkhLsN95a06f0oynMmM6B2eSc4IPAiw7upWs9H22tvvsUSYDmpIIS60vyH4zhTndvN58k9hGUnmCa2agUpSgUpSgUpSgUpSgVH8jZG97p6E3ekCA9vkBx23uv3tmM+VFbTVzXO3CnUBZQ285GWpKUo1BxQKzIFKC2tkJqMyywygNtR2m2mkDkhppAbbQO4JSB7KuaUoFK0Xoa2plXaJMflhoLj3a7QkblJQncwZjkdkqClHKyhIJPInqFb1QKUpQKUpQKUpQKUpQKUpQKUpQKUpQKVjdpZa2Ikt9vGtiM+6jUMp1NNLWnUARkZArD9E19eulltFwkhsPzoMWS6GklDQcfaStYbSVEhGScAk0G1UpSgUpSgUpSgUpSg8JchtpC3HVpbbaQpa1qICUIQCpSlE8AkAEk1yH05dOki6Kdh2tbkW3glC3BluTOHIlRzlqKRyQOKh53PSJD+2TtgqNDj2pleldw1OySOfgjKgEtnucdPtDKh11yQ85x7s+z6/nVohEy+vnu6v58uzrrwP8eX0aq1edx4dXb6qo+u764UQEDt/mOzHVVP19Gqzx5cT/P8AvVJ+uVA+vr9lUqGP619z7O+h/h10Fcd9TTiHGlONLbUFNuJOhxC08QpJHJVT3sJ04xRFWLxqakMIyHI7RWmYOAAS22PwpHHiDhH5wUBkJ56dCuYPDH1wqlMtEhKWXkhKmzo3qWzpcKhye0p1BIAABB4EEkeUo1TJjrf3e2HPbHO6u3rDfGZrLD7JUW5LaHGyptbatKwCnUFDIVy93Xzq22y2jh2yMqRLc0oTwSkcXXXCPJbbTzUs8eHcScAEiIdjemCKzbWhL3iprSC2ptpr8qWSUtOl3g2NaAhRHUSvAxjMV7Y7SS7q+qRLXk8d00k/hMN/oNjrUcAlZ4qOOQCQMOPx7TbvqrrZfOrWnpndrf72vekXbmVe30re/DYayI8VJJbZSeBWs/nPqHNfZwSMZzraOH17uZ4f1qkHuPqH9DTr7ur691b4iIjUONa82ncvTV68ev34okHOeZ9vr/nXwgYx+w8q+lPq58efVUyh9Hsznu/vRJH119nXXzHqH8OzPuoo/XUagfSB9ftP7qrDvUAB1jPb28vXXiHD2Y9tVNqA9eT6xU6G8dEW3DthuUeYhatyVJbmNg+S9EWRvARyK0Dy09ik9QJz3+04FJSpJBSoBSSORBGQR6xX5kpVk8+AA9v8s8BXev2cL8bhs9bXFnLjCFw3MnJzDcUw2VHtU0hpX+1UCRaUpQKUpQKUpQKUpQKUpQKUpQRX9mT/AKNuX/3FtH/8pIqVKiv7Mn/Rty/+4to//lJFSpQKUpQKUpQKUpQKUpQKUpQKUpQKUpQYfbj/AKNuP/kpf/DuVrX2dv8Aqvs3/wCk2/8A4Zutl24/6NuP/kpf/DuVrX2dv+q+zf8A6Tb/APhm6DfaUpQKUpQKUpQKUrV+lXaMWi03CdkBbEde6zyMl3DMYH1vuN/toON/tJbS/eN/nrQrLcVQhMkHhoi5S6R1aTIL591RipXlY4YVy9Y7ez+1VvO51EkqVqJUTxJzzJ7VE5Ptq2dPDvSQfYf61dV6kcePLs/rz6zwqoHr9X968gvI4dg4dx4g1Uj65/X7qCpX0eP120J7/cP6187+rtxT+vb7+2oHwns+vXivnt9fq9lAe/3ftxT6/hzoKHD/ACz9HhVu20BwAOOPD19vXVyBn1ddFqA7D7qChpOOPVjPP+lV688Tj1eqvNSsnKiAOz+GCfXXqTwTw6uH16qCpI/tXzr/AHfXqpj66vZRJ4/u9v7aD1Sfr+tfE8+XD1V8Kv6j648sVVz9/DnQVE91fc9v8+GOv66qpI/mR/b64V9zw6yP359vdRZSAMpPDjw7DXmF8Ves59nbXos+48D3csHlVk+5jVg9ePaTjPbRVcNHJ59/u6661+w3cdcG7RdWdzLZfCSeIEpjdZxnkfBD7c99cisq/gn+1dKfYVk4m3pscnYsRwDtEd15sH//AH/bUSOsqUpULFKUoFKUoFKUoFKUoFajfukG22+5xbXPcXEentJXCfkN7uFMdLrjS4jMonR4agholtWnIlMadRVgbdWn9LnR/B2ltsi2z0DS4NbDwSC7ElJBDMlkniFpyQRkakqWk8FGgi3ox6QrZs/aJzk9xRek7R7Rtw4MZvf3C4SPvV1KWIMRB1PLK3G0Z4JBdQFKTqFT+2rIBIwSASOzPUa5j+x50GyLU5Ku9+bUq5tSJcOCh7Wvwdlt11uTLaLoyS+6p4oXgZbUVAkPGun6BSlKBSlKBSlKBSlKBSlKBSlKBSlKCOtp+kC2uuXqyLcVHubECS43HlNlnw6OuEp0SLe4fJltD8RCtJ1JVHeykBOa1nof6Qrbb7Nsba1rckXK4W21IZgxG9/JQytlsOTJCAQI8JtGtxTiyMpac0hRSRWR+070Vt7TWpzcJ3d1t4VJtkhPB0PJwtcbWCCEPBATz8le7Xx04OD+x/0RJ2ftiJs5pX3zc2WzJU9kuw4gx4LATvAFM6W0tKcRgHWAk5DSMBO1KUoFKUoFKUoFc5/be2k3UO22xHOY85Ke7mYYSG0EfrPPJUP/AC5royuEPtR7RfeO0c0A5agBqA2er/D5Mnh1KEp2Qn1NpqYRKK3FYV6+WKt3e8938uPrr3eHDHZwH1114Hj+49xqyFEd3zvUkj3/AMD+6rvPVn2GsS4opX6/38OPt/eD21kIzo5541AuR3Dj219z/aqNVfeX7P7Z9lSPqvb3/Qpjv4/XLsr73n2Y9317KD1f1z++oHpChuyXGmGWy446sNttox5Sj6+CUgZJUrASAokgAmpv2O6IocZCXLh/i3+ak5PgjauRSlsKSqRzI1OZSeHkJINYj7ONqQXJUxzBWCmIzw4JJCHZCsnyQopUwB1gFf6WKmlCiNIGSMZzxHBRPLGQEackEnl1YrRipGtyraWGh7PQ2glLUSMyjOAGozCB6/JAPf2c6xG0uw1slBRdhtBfU4yNw51kFTjWlTnt1DBrK7X3dyMnQy28XFgFK24s9xCRq6nI0B9ClZGNPMAkkcs69ar9KU6ylxxMhLyAooCWwosF0NeFRXC20p1LLqi1IYcQlxveJVgYSl3069kdom292Ddtw3zSy/FyMqIG+Z1HCA8E41pUeSwAMnBA4E6bjv8Ar2d9dTS2G3kLZcRrbcbUhbasYU2vIUkp60q48u3rxXMl9txiSpEZRzuHVICj+c3nLSzgY1KQUKx3mvDJTXcLRK2Ir6D3+/NUY/h/THbVSeI4Dj3ZrySqUc94+sY99Uk8Of8AT2U59319e+qCrHZ2Hh9fWaDydf3akhZyhw6fUTxBH6pPCrR5WVqH6xJ9/Adv0KXpYCUDmdYPsTxJ/cPWa8o5J49Z4nu1dY/WPL1caC9a/dwHeTwJ/hmpt+xzeBF2haYJwmfElRgOreNhMxJPUFYjOD/8mOuoVbRj9/qx2fzrZejW8/d90tkwqCERpsRxxXYwXkiR6klguDPfQfpFSlKqsUpSgUpSgUoTVII5Z5c/60FVKp1DOM8cZx3dtYrZy7mWZeW934LMeijy9e8DIbO880ac6/N44xzoMvSqSerPE8h6qqoFK+Z91fNQ7efLv9VBVSsTb7vvZc2KUBIiJikL153nhKHFY0aRo06McznPVWWJoFKCqdY7Rx5cefqoKqUpQKUpQKUpQKUoTQKVg9pL6Yj1qaDYdFynGGVbzRuQLfPnb0DSd7xghGnKfypOfJwc1qGcZ44zjrx20FVKp1DOM8eeKahnGeOM47u2gqpVJPVnieQ9VCocs8Ty7/VQVUpSgUpSgw+2N7btsGZNd8yJHeeI/TLaCUIH6ylaUjvUK/N64SHHnXXXDqcdW444rrU64ouLV7VFR9pr9DulTY5N+tsi3LkuxEvltW8aShfFpxLqEuIX+Ub1oSSkFJOkcRXG+2nQdeLeuQlK4cttjjradW246CjJCWVI8lY5FBX6iac61jc20muO151Wu0WuH3fXPj1GvNzhx9h9X9KuXU9R7OvGfVjFWx4cPd1ewjr4VdVY3AZ+ufeK8oMg8uwYP8/rtr0uPD+X88VZw1ZKvUgE+01CGbacyMdte2e6rBC+OOwfXCrptWRzxjlx+u+g9hg8vruFfQf71Qk54f0HDvPOvTPYcj19/wBftqRN/wBnR0GHKb4BSZqlcesORYob4DhxLawAf0SOsVsXSvfnrfbnXGEkOOOJjIcSM+C74OFbyiMBOQkoT1a1N+oxB0R7St2yYpLyw3GlpQ264eTSkKJZdWTyQN46knGAHicgJNdAXC1tTm3mHkrcbdRoW3yJSvzlJxghQwFBQIIIHdWmk7qpPu5q2fueqYhcmO3N8Ke0OpTHYRKcdkuDD7EhKErTPDygtLuoK1DzhkqHQ9ntW4QpTjm9cWoqceSEIQ6c4Du74oakLRpLmjSlawVBPHAsNnejm1wZKH2WnC80pRbWp9xzGptSCoJJ3ZUATg4HaOOM7K8OHt8oE8OBAK8kHHDh1/mnPKlKzHuTLw3Hk+b6xyGTwPV1cBg93rrmzpNfSu6XBaTlO9Sjnxyyy0ysdnBbSqnfpC2oZtcZbiilTrmpEds8C88EjiePBpJUFKPUBjGVJzzM84XFrWolxxxRWpZxlSlnUtZxw1FRJPeTVMs9aTV8GfZ66rOP7Y9deY+uXGiuI7PV+2vBZWSPr92Koc9fsHf7a+Y9/L6HuqlR+sfwoMNOWVuaOYT5vrVgkdyRwNTJ0N9GsG4xPCZz0kF1TiW22FNt7sIcLRcWXG161lTaiBwAGnnUMkgur/1se4AfwFTz0D31tuOlpSsbpxwexxZdB97ivdWfyJnj6Z122+DSlsurxvr/AC0TpF2Tcs8xUVSt624kOx3caN6wslA1jkHUqSpKgD+aFYAUBWDIGFZGc8PWMY+u6py+0DDblQo8xvGuC4ApQOcsSS22ocOx7wc5PIa++oy6Nti5d+mtQIZbQtwFxx10kNMtJ4rcVjylq5AITxUewBShbFflXv5lfLw/Cy2rHy+8O4+gvan74slvlKVqeDQjyTwyZUb8F1RA4DWUhwDsdFbxWk9D3R5F2agmJGdekKddL77zxxvX1NttqU2ynyGUaW0AJGTgDKlHjW7V6MxSlKBSlKCKhY2np21UxqNHlXOG+192rkNtvGLK/wBHreptUbegiM64taAtaMFSW2wchKcYHo/t9uC9n34Uu0olOrUpS4kKSbvP0xHhcWru74Up4qCyVPKmA6JDbWrDuipwCQMnA48Se3hjj28AK82oraVLWlttK3Ma1pSkLXjlrUBlWO+gghMqATbZ0VNrjS5V9jEqCjMv7gk3ZuLOROl+QuJhpwsOMLS4hr8KOkjS1iU+js8bv/6vN/8A1YrZExmwVKCEBThBWoITlRT5pUcZJHVnlXohIHIAZOTjrJ5k0EFJ2dg/cN/uio7K7hFuW10qNNcSlcqG7B2gvBi+CPqBXGaQWydCCEkuvZB3i877CvsOFc72iXIajrIt8pCHVhK3Y6oojJWygnU7l9h1vCQTqAHMjO77tOCnSNJzkYGDq4nI68kmqHoza1IUptClNklClJSVIJ5lBIyk+qgg3o+s0acNg2JzKJLSdjJLq476d4yt5o7JBsvsOZQ6pBcUoBYOlYSoYUkEU3vZm3xbBtRMajM+E2lV+ctjziA47avu/eyYTVtcXlUGO0+NSGmilCckAAcKndLYGMADSNIwBwHDgOxPAcO4ULacEaRg51DAwc88jrzQRXcoljevt4TekwnUiHbVtNXVLK4ISlqYJTjCJQ3JkBtSA4oeUltbWcJXx1aO26+3s61Oci/dLjm0hiffLa5EKTu7q0dlUSEuOo3zv3L4Q4zvSrO6CyC4lCkzzJiNOjDjbbg1BWFoSoak+aryh5w6jVchlDiShxKVpUMKSoBSSOwg8DQQpHtMR5qFETIjTLe5tPu0MQozkW2MNN2WQJVvianFolQjJbklxKFFvVIksEDdrQMltbs/bGZchDTdgW3FtUdtNquzfgESFFS9Mc39vlBpbUJl1RKXS2yo5hsFR8hIqWUNJASkJACcaUgABOBgaRyGBw4VRJiNOlJdbbcLZ1ILiEr0q/STqHkq4DiKDG7DzBJt1ufS3JZS/CiOpalqUuW0HGG1huUpZKlSEggKJJJUFZrNUpQKUpQKUpQKjvpIajO3SytXUMqtLjNzJbl6PAXryhy2m2IkId/DdWI33qttC8p1t6gNaGyJErykMocSUOJStKhhSVJCkkdhSrgaCKEm2IesTdpV/g29qJLbaW8eAtOo2bvHhDNs0gI8FS8HQUoylLokpGNJSnWb5IhkMzYiLaxMXtNBTr1GZf3NW00WDPQ/J8hcFtMZx5hTJ3iG2SlnIBTifUNJASkJSAjGkAABOBgaR1YGRwqkRm9Sl6G9a9OpWhOpWjzdRxk44YzyoIcvKYTUiXLItdxUi9MpUtxTtu2hgyRKjstxmHSlbktSSQGmxuEvR3kIBWhwrc+XBqGzIkSiLZc1ffzSS6ovW/aKHJM9plEZtwpU5MDZOhtsbhDsRSE/iIXqdmNURouB0ttl0DSHNCd4EnmAvGoDieGaGI1vN7u296BpDmhG8Cf0QvGrTz4ZoIEvMGO6NoHrnLs0S5tzZyGpMqG/KvMBnfON7PqtmiUl/JjGK401GSN4866AFOLczmekCPEDt7kSVWm5LYjxjIj3Au2y4wQ3CbcSq03HStTTCz+K0ppCdEnwjDutJDUxORWlLS4ptBcQCELKAVoB5hKiMj2UeiNLUha221rbOULUhKlNntQojKfZQVRF6kIVhadSUq0uDDgyAcLHUsdffmvalKBXyvtYraW7ohMKeUMnIShOca1q5DPVwBJ7kmomdRuUxEzOoWe3O0CbdGU5wLqzu2U9rhHAkfoJHlH1AdYqANp744pCsr1OOqwkdbjrh4f7RUf21ddJW0b0hxS3VFS0DCG0Y3bST1YJwnPPJOTgc+FYDYm0uOrRMlr3hPlRmgMJbSeTyhnylkcU54JHHziNHPzZYs7ni4vg0/72YLa/oUL2p21uoSrmqM+TuyessvgFTfWdKwoE44pFQ/tNs3Pt6lInRXowzjW4nLJ4nzH0lTSvUlWeNdjxXQB7OfurD36Z5Kh1HmDyI/jXrjzzEd9suXw6z3HTia5q6vr641lXdlpMW32y5u/kLwu4JjgJOR92vNMOKWo8PLW6sJSOplR6+Ehbd2FmdOZiRY7KXpbzMdsttIR+LIdDSFK3YBOCoEnsBrpD7VmxUX/RJTcZkIFjVDeiIaSEBpptxESQSBgaBFffWR2oBwSBWqt+Xbn5MfCdOIEcOOKuGeXr9ndVAHdXoE9vV9Yr0eT0B6vbx4/sPKvQH9v8q8Ce+vhV2/2/bmguyOHd2/X1zrdtiukydbW0sOITMjJGG23VFDzIGCEsvgE7ocfIUFY5JKQMVHxd403p6/fUxaY9hPrPTXbj58W4NnBzoTFWCSTkIO/SRz5kdVYu89NDe70wIagoj8pLU2gIIHMNMKJc44H5RP8AOF953n+H9K9VNKBUChSCnAWkggpzyC8jyVHvxV/i2RxhfXu7SZjqnpTinnCMajySgea22nAS20OoADtPEk1YD6/fwqgH6+jVY+jz515zKVY49n7e/wCuVUk8fZ9Gvmr6wOftr7z+u/8AtQfMdncMVS4Prv8AVmvTGPX1V8X9fXvoNeb/ACiznhrV+89dbpsJAuSnUGHFkvJVgKLbZDRGeBLysNJUMkjUoddXfRmhvKVlCdWSdRAzxPPlnlU22K5EBIz6uNZcmXUa03YMG5rbeljs4+1Iadhz0gNuhbC9ZWgah5Km1K4Fp0KBwQRhQHIit02PtbFkl29cZvdNIfShauaiHRuXS6s8VL3bhOSfzOGMVoN0c3Mx4pQC3JAcWDjG8X+Ux+sVAq/2jWcs91cbTuwsKbwcsvYW31cElWS3+1P6tYbco1Nfy7Hwq5q9/N7bdaCtN6X9pTarep5K0trcdaYSoniN4cr0fraEL9XPqqGZPSFLCc+HvsqHAIcU5njyKDktup9XHHVWhdJ95lzUtKkvOvoAKfxFFYbXnJ4ck5GOWPMrTPk8o1xmHOj/AI61LbmYtrvUOi+jTb5uU8mGtwulxJWw4TknSkFTSiTkq84hRJ5EdlSXXMX2U9nXVzX5D3mQG29A45U8+HEJx1FCUpdPrKOw109XtgmZr3/Zk8mIjJbUaKUpXuzlKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoPhpX2sVtXNcjQ5b7QytiO84jr4obKs468YzjrxUTKYjfS12t2piW1vW+saz5jSSN44TwGAT5Kc/nHh6zgVHe021/hraC6lDSGl6t2F5IWRpSVrOBwyoch5xqJ9sdoSSXnVqUsq1FRJ1KUO/qrFW2a46rey1aUgBaWgTl0k8N8c6T26QOzjzFYcuaZ65adnx/FpTufVb+Gy7T/AIyFIG7AcyQog6lZGVLwfybWOoeUQBlXGthsOksMkDACEpx2aBpx+ytL8KUoLcJwpXb+akeakDux/eqbNeXmW0JBC0gHyVcvKJUMKHEc+sGst+obr2iZSA4/juHKte2gl4Qrs/hVvHvaHuHFCxzS5wIz1jmCnvB7axW0Uj8NRz1f2q9LPHJHWz7O9n+8dqPCFjLVsZelZ6t+sCKwk9/4zqx3sV070j25Ey1XWK55km3zWVdwcjuIz7M59lRD9je04j3ieQcyZbUZBPW3DaLuU/q65ah62+6p6faC0rQeS0qSfUoYPP1108caq4OWd2l+WjKjhPeAfeATRS/fXrKiqirdju+fGWplzH/eMqU2vq/SSeyrJxfGvV4vfeVW0rBSQBwOcKShxHqUlxJQpPcQRVsz/T2VdxtJWgKJSgqSHFAa1JbJAWpIJAUoJyQOGSKDLNzHEx1qcDWZIcaaSiLFbw2Dh978JlP/ANJPeXjwLYz8Yh71cRLjmlDsOU4HA0PwRGcuZSnDYBeyuKFEnysOkZ8kVVdHYjq1KS9JCAAhttMNtYaabGlpsLcmpJwkDKsAqJUojKjmuyzWy9b0rTjdIeZXvPyag+5JUB5Jzp/xKgeVXFgthlxt4tB9C2UheHnGnUuNF1tk6Q20jcugvIVpJcBAX5WQM3NzVqcmnW5/zaC/gKISsuG3jDg5KSBKJA6iM9VWnhcdLa0soeC3mwhSnnG17tveNuqSkNtjUslpA1nHk6hpyQU+K5vFZ0j8WLGjEas48HTESHOA85RiJVp6tR48ONRldcVtxlssJU2pqCp1xTsjehUmMy86WS26G29O+wNSV+UlROQQhPoiKGW1nXFS4JkqMpyU1vxpjNxsBtlxh1PFTyyTp1eSgDmrOBmSS7pyANLbTXDPENNhtKjk+dpA/ZVwq7OanlENLEhwvOIU2C1vVKWrUhByW1DeKGQQcHBJFNi5uwbK0qaKfKbSpe6bcba3nEOboPISrQVDPBISCSBwAFW6D1/XL691eDk1TitajxwlIwAEIShAShCUoASlISAAAAB7a+pcGef131Ej1T9fXVXlMV5C/wDVOPX2/uqtsj6x9cqeDKfUhhvz31hlHe48rdo5ceahy7aCRbxZ27ZdZUNofhsog6eGPy1uhSScd5eJraLe6Rpr36fIQZ2qnpGcKbt6xnsRb4zAx7GR7c1iN8ojSg46ioVzPInUuv43y1Xl9kltxlweaUlC+7Scp9+8P+7VD5Kk60nH176tJkVGhQJyrnrPE59v5vMYHaat7Et1WlISVJ5Dngd2TwOK88d4tGv6Wqt9Tr916ZqijS5x7O3hg8D68VmLA/kpCmw4MjVnBBHWCD3VaLtnaM/16qyFpiEcQQAONTMvSm+XaSejvbuHbXXU7pxTbyUJIZSN4C3q3eELI1JwpQ59Y51Jdr6R4TzqWlIfY1EAKeDYAKvN1htxWkHI48e/Fc2WOBcXp27gxHZSghxw7vQAltvGpQU6pKetIwDkkgDJOKk2z7D3i4Px3XWDAilILq31gP6QRqQiMPLQs4ONekDOe43pbJE1ivy/hj8nHh9VrW1f9t/5T7SlK6LkFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFKUoFY7aW3mXElxkr3SpMd5kOAZ0F1tTerHXjNZGlBxNH2Flh1SJbqGktuKbUlS1rUFNqKVgDHHik8a2CTstvTpiLSQzzLhWCrhzA0/sPbWU6Yb2YdyuDTqS3l0rSSMam3UhSHEZ85HnDI60q7DWj7J7QS3XVIirZAHNTzi0A6uJCQlBXqx2gDvrmZKRHLfTv+Plia1if1ZiTAe3e7AGc4PHs5jgKwOz99CnXYj7e5eaW62kEghwNJS6CP1iw60vr5q5FJA3q36m/IcIcUrKitHmnVxOP1RyqMOnK0mK7HuLHkq1gLIPDeAfhq58MltsK7Q0jvrxpMZLcZ/t+U+RE0rzr9Pv+G1Su7mOR7Kxl1lEtr49RyOzFZIvBxCHEclISvHcoAj99YuLbVXCXHhNEhUx9qPkc0BxQStz/YRqUf8AUNTSvenjky6h1J9nyz+B2C1oIwt5kzF556pzipQCu9KXUpx1aBW/15RmUtoQhCQlDaQhKRySlI0pSPUABXrXXiNRpxpnc7fnP9oe3tRNpL6y0PI8NU8R+vNZanOgdmHJK/dUaSDjvB5VJf2nRo2rv6M5/wAVHX//AGQITpHs3mPZUZ/u6qlC4iu5+vbV2lzNYkeQcj3VeMOZ4/yqYVXuvs5/X1mqR9f0rx08euqxw5mpFZP1/avNw+yvuf41SpXnfwoPilV5qP1/Cvqvrs9deYos9Eqx2cqoU9xx/SjisD6+uyvNCeOT9fWarIuN/jjn2evnW19CzKJW0NgbdzoN0gLIHWWX0vIB/VK20g92a0p9XHSPX9fXVW4dBpX/AKSbOhHP71g5H6u9AX/7Co+yqrJ5+1bDW1tIy7ghEq1xilXUXWpMpp1I/wBVBYP/AOQVp0ID3DFTT9suylUW23NCc+BPuRnlD8xqbut2tfcH2GkDvfHbXP8AbLhw51j8jHM2bPHyajS9uzuoKQDjgePXWT2KZ0t6SeIUvA7jx+vXWuSZI1ZNVWvaVthxSFHyVY09mo4Bz/7f215xTUah71yRF9ykJtJUrSPUP4n3Zr5JK2NSsjA6u7PI1jbVe0lxKs8SkgY48T3exPvrZrhY3ZSUN+Ud6W0pZbJbU844QlCFLBB0FRAxwB4Zryn5tS6Fbem1o+l5WhyY0lM2NIcYcCdOppRB3avKUF80qTwB0kEcB2V0J0U3x+4W9Dsk63ErW0pzSlG90YIXpSNIPlaTjhlB5VqEPoPigNJVMmIaCGt6w2pvCnUpw7odWgqQ0o58nGRk4I4Yk+0W9mIy3HjNpaaaTpbQnkBzJJPEqJJJJySSSck1twYrUnuXH8vPTJrjX1fuvqUpWpiY66XuFFUhMqVFjKdOG0vvtMqcOcYbS4oFfHsr3M5kAq3rWEuBlR3icB5SkoS2o54OFS0DTzyoDrrT9gYbD7l6dkIbdlLucuM/vUhxSYrJCYTGFDyWDFLTgTyJeUeJUa1KClhu1TQwrMdnamJoVnKUMtXq2gYWT+SQkaQc+agUEwvPttlAWtKC4vdoClBJWshSghGo+UvShRwOOEnsqzut9gxFIRKlxYy3fMQ/IaZU5xx5AcUCrjw4VgekF5IlbPoKhrXdtaU/nFLduuAWoD9EFxAJ/XT21ZQ/x5F1ciRIhbVIVHmSri+tZcXGYaaW21FS0oeBITw0qcbBUXTp8rUQ3Z+S03o1rQjeHSjUsJ1kIU4UoyfKOhC1YHUknqqyg3+A+h1xiXEebYBLy2pDLiGQASS6pCiG8AE8ccjUX26K3MtOyDT2Hml3FCCnjocZZhXXQggkkslDaUFBJBQSk5BNbhfIjTV6s6m220F+NdI7ulITvWENxnUNuADC0JWnIB5ZVjmaDIbI7WxbjvktusBxqRLaS03JbdccajPKaTICRg7tYCVDgQAscTzrIpv0Iv8AgolxDKHOMJDPhAxxOWdWvl3VpNr3jNp2gdiIAlNStoywptI3gcRIkloJwM6gQnA7hXrebTam9nHC2lkRm7eZLMhOneB4M75mWh4eUZZe0rC86lLPWTQbxNuMdgKLzzLIQjeLLrqG9DQIQXFayMN6iBqPDJqmDcWJTRciyGXmyFBLzDjb7QUBx8pCik47M1obbKJF6tH3glJf+5FuhpzTpMxL7BWd2eCnUBTxAxw8ojzci/Uw2zfXkxUpbD9pdenIbAShTyJLbcB1xKeG+UgzU6jxKWv1RgNktkpLEJh2XNZfDbDRdnr3Mdl86U5keSrdNIWfKwDgZGKurZdI0pvexX2JLWSN4w6283lPMa21FOR66jfZ1xtVt2SYEZMuSYTEmM089uIiDGgNNuPSFBtwqKBJSEJDajqcBGNOoZCwF1N6uqHfBULctUFx5uJr0B0PzkoLq1AFx7dlPlaUnSWxjgDQbh/pDA3jTPhkTevpStlrwljevIcGUKab16nEqHEEA5rK1E1qscUbHZ3SCpdk8LUsgF3woQd+27vPO1oWEaTnyQ2gDASAJJt0nLDGVJLq2EOBJIBWdCSo4541EZPfQUyL7CbeTGclRW5K8aI65DSX16vN0slWs57hVxcp7EZCnZLrTDafOcecQ02M8suOEJHvrQ9grZb39n0OTENLEuO6/c3nQN4ZStapzjrhGpLrbwcAPNG6SBjSMekNuPIu8FDqlSWWbK1ItxlDKnXVvFuVJKXEjMoMeCZJSFJD6+A1Gg3aDcY77e+YeZeZIJDrTqHGiE8yHEEp4eurdN+gF1tgS4hfdSlxtkSWd842sakrba1aloKeIIGCK1KSy2zdrmiKlKEPWcvzUNgBsSt643FdWgcA+4wJAJ5qTHRnkKwcq0R29j2lIQEOi2Q5qXgPxkzN0y+mQl3zw6leMKzwAAHAYoJMjXuG68uM1KiuSGs7xht9pb7eOetoK1ox3isjWibZ2iNEbs3g7TbJi3S3NsqbSAtDbzvg7ydQ4nW24sKz52cnJre6BSlKBSlKBSlKBSlKDTOlbYSHfIbrb7Da5LTbqobyvJWzIKTow4OO6KwjUk8CB3Ajmq1WWPBb1gBLixleOHHryMedXY9RNtx0JxbjJXIZmyYCXtSnWWW23EqdUSVOILv5LJJJTgjPLHKs+fD8SGrxvIjHM7Q9B2oiNJUhxOpThAQcE+WeQQQPOzwxzrUOnmYW4CGFAhx9xoJb/OzjeYA6lAjBrbbp0cXHZuV5KkvGQcRpgAOSkfiIwoZjLIIJSOB6irBxitu9k/D5EWTJWUqjIc1IB16ivGVIJOEqOOtKu7FYNRTJX064ura85sXp75dMBGuQQ0hGeCW0pH+ykCpP+yvYTNuL1yWnLNvQpttRHAzJCcYSesojlwkdXhDZ66weymw8O9qat8VCmXUKS5KktbxzwZgecp0uHSVrwUoSc5VxxhKsdSbH7ORLTFZhQm90yyOGTqW4tXFbjq+bjqlZJP7gAK2YabnlNXN8rdJ4con8M1Sla30m7VNWS1XC5u4KYUdbiUE43rxw3GZB/ScfW02O9wVrYnC/2u3WXNq7uphe8IEJL36KZLUCM04hJ5FIQ20CepWsdVRXjrHur7OluvuuyH1lx59xx99w8C48+4t15w/6zilH215ayk56jxP86qPpGf4/xo2MHqr14HiP4VQts4zVhcNPAf1Nev13e6rFDJ+v5V7ocx2+/wDhVh7H65VST1VTvPr99U56/wBlB9Wfr+JqkD6+uVfEnNVKVgVUeTp6uv6/rVZ4Jow3xyfearfbzw6uv+VBaNnjk1t3Qm/u9otn1nJzeLY3w/8AGltMj/Z/EB9Wa1dxvA4df7qzvRa6lu+WBxRwhu9WZaj2JRcYpJPqFVWfpnfbVHnR3ostpL0eShTTra+Sm1jBGRxSesKBBBAIIIFcI9LGxEvZeeqM8VuxHitcKVjg8xk4bcOAkS0DAWkdygAFADv2sRtXs5CusZ2JcGG5Ud0YU24OR/NW2oYU04nmFpIUDyIpauyttPztk3LKeeawch3eLSO+uutoPsnWl1alwrhcIaTn8JwMS20dgbKkodx/rrUe+rzY77LFkiOpdnSZlzKSCGnC3Gikg58ttgb1fqLmD1g15/DlebxKC+jfZUvIRPckaG2lK0NJOS4UZSoq4+T5QIwOPk1O/RY0bhLiqaQpTUZwPPOAHdt7pOplGs8Nal7vyOeNR5CpKu3RxaJTyXnY+nS2hndMuOR2Chrg2FMsFI4Iwjhw0gA5AGNot8FmM2hqO22w02MIbaQlttI7EpSABXlHjerlafw0z5URj4VrrlHcrqlKVrYSlcAeOrtT6DYPhbl8xp46u1PoNg+FuXzGg7gvGyNvlul95k71SQhxbT8iMX2050okCM4gSUAEgJc1DBIrG7IbPpDF1jSoyRGkT5ehhSEbpyItLSGwlA4BrSnAHDGnqrjHx1dqfQbB8LcvmNPHV2p9BsHwty+Y0Hbtv2Nt0dbbjbK1ONLSttx6TJkOtFCHG0pbckOqUhoJdX5AOnjnGQKrmbI2515b7jGVuqC3Uh15DEhaQlKVSYqFhiSoJSkZcQo4SOyuH/HV2p9BsHwty+Y08dXan0GwfC3L5jQd1NWGIlEVtLICIbqn46cr/CeUl5Cljysk6ZDw45H4h7quZFvZcdZfWgF2OHQ0vJy3vgEu4AODkJA455VwZ46u1PoNg+FuXzGnjq7U+g2D4W5fMaDuqNYIjUl2W00G33s7xSFuIS4VBIK1tJVu1OkISNZTq4c6xzWw1qStLiYoGl3fIZ3r5iNva94HUQi54M26F+UFBAIPHnXE3jq7U+g2D4W5fMaeOrtT6DYPhbl8xoOzr3s8Jl1QqQyXIotriN5koLcoTGnG9262oONPBGshSCCBnjxrN2PZ+JCS6mM1o3ytTy1OOPPPKxpBefeUp10hPAalHA5Vwt46u1PoNg+FuXzGnjq7U+g2D4W5fMaDuOTsrAcjxYxYw1CSlMXduvNOxghvdJDMhpYeb8jyThXEcDmvW1bOwoqithkIWpvdLVqcWpxGtTn4ilqJcWVrUStWVHPE1wv46u1PoNg+FuXzGnjq7U+g2D4W5fMaDu5uzxRF8BDYEQR/BQzlWnwbd7nd5zq06OGc576+i0Rt6w/uxvYzLkdleVZbZdLRcQOOCCWWueT5ArhDx1dqfQbB8LcvmNPHV2p9BsHwty+Y0Hbc3Yi1vOrdcjAl1zeuth19EWQ7wJckQ0OCO+skAlS0KJxxzV/frDEnJQmU0HN0rU0tK3GnmVEaSpl9lSXWVFPAlKhkVwr46u1PoNg+FuXzGnjq7U+g2D4W5fMaDumz7PQ4jbrTDQSh8kvEqccdfKk6Cp991SnXl6cJ1KUTgAVW5ZIqogglpJiBlEcM5Vp3DaQhDec6sBKQM5zwrhPx1dqfQbB8LcvmNPHV2p9BsHwty+Y0HedxgMyAgPIDgadafRkkaXmVa2l8COKVAHB4VeVwB46u1PoNg+FuXzGnjq7U+g2D4W5fMaDv+lcAeOrtT6DYPhbl8xp46u1PoNg+FuXzGg7/AKVwB46u1PoNg+FuXzGnjq7U+g2D4W5fMaDv+lcAeOrtT6DYPhbl8xp46u1PoNg+FuXzGg7/AKVwB46u1PoNg+FuXzGnjq7U+g2D4W5fMaDv+lcAeOrtT6DYPhbl8xp46u1PoNg+FuXzGg7r2ksrM9hbD4OlXEKRgONLHmuNKIOlafUQeIIIJBjuL0IQyrVMnXCUMnDYW1Ha0nqVum94T3hY9VcseOptT6DYPhbj8xp46m1XoNg+FuPzGqzWJ94XrktWNRbTunZrZ+HbWUx4LDcZoHOlscVq5FTi1ErdcPDK1Ek4HGsrXAXjqbU+g2D4W4/MaeOptT6DYPhbj8xqym3f1c2fb+vDjVnt0JClBM6freA/7RmGypwJV+qJDsZfraTUJ+OrtT6DYPhbl8xqP+mPp4u21QhC4xbY0YJkFpUNmW2SJO53qV76U4Cn8Bs8ADw50GvpT1+/+VFIz2n66613/SB7OdLXuX/mr6doXv0Gvcv/AD1YZogo4jl2V7IezWvKv7x5pa9y/wDPXn98u/otj1BX+aqjZtRHq68GgPq9ea1oXt39Fv3L/wA1ffvx39Fv3K/zUGyj6/tQjPX9D6Na2L89+i37l/5q+pv7w/Na9y/81BtDae/69h4VUGsnNauNon/0Wvcv/PX0bSPfoM/7q/8APVhtvIcOyviE/wBq1MbRvfoM+5f+evp2kf8A0Wv91f8AnojTaiAe4VSoqSUraUW1tkONr4ZS4jym1jq1BQB6+Vat/pI9+g17l/56HaN7GNDXuX/nol+smw98Rc7db57fBE6JHkgEYKd+0lwoI6lJJII7QazVfnF0ffaq2islvi22NGs77MRLiG1yo8xb2lbq3QlSmZqEEJ16RhI8lCc5OSc946u1PoNg+FuXzGqjv+lcAeOrtT6DYPhbl8xp46u1PoNg+FuXzGg7/pXAHjq7U+g2D4W5fMaeOrtT6DYPhbl8xoO/6VwB46u1PoNg+FuXzGnjq7U+g2D4W5fMaDmalKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUClKUH/9k=\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"640\"\n",
       "            height=\"360\"\n",
       "            src=\"https://www.youtube.com/embed/TJveOYsK6MY\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fa199b66bd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"TJveOYsK6MY\",width=640,height=360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 6:** Look up the terms \"Supervised\", \"Unsupervised\" and \"Reinforcement\" Learning. Provide a brief definition of each below. You could of course copy from somewhere, but see if you can do it in your own terms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Supervised learning is:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Unsupervised learning is:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Reinforcement learning is:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Classification\n",
    "\n",
    "Classification represents a group of algorithms that map observations (features) into class labels. We've seen examples of classification before. The Iris data set is an example of mapping a set of observations, 4 features per observation, into one of three class labels, a particular Iris type. It's easy to imagine many applications and there are multiple algorithms focus on the classification task.\n",
    "\n",
    "Classification is a **supervised** learning task. One of the principal concerns we have for a classifier is how often it makes mistakes (i.e., false positives and false negatives relative to its true predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"640\"\n",
       "            height=\"360\"\n",
       "            src=\"https://www.youtube.com/embed/Ivc8c9ijWIQ\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fa1885d5150>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"Ivc8c9ijWIQ\",width=640,height=360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question 7:** After watching this video explain in your own words the concepts of false positives and false negatives. Feel free to use your own examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Answer here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 Making some data\n",
    "\n",
    "We spend a lot of time reading in data but sometimes it is easier to generate some data, under our control, and see what we get. To get a better handle on how easy/hard classification might be, we can use the function `make_classification`\n",
    "\n",
    "This function is part of the `sklearn` library, which is the standard for machine learning in python, much like `pandas` is the standard for data handling. We have used `statsmodels` in the past, mostly for its improved statistical properties, but `sklearn` is a big, broad, and well maintained library. We will use it a lot during the rest of the class as will you in your data science future.\n",
    "\n",
    "Take a look at the <a href=\"https://scikit-learn.org/stable/modules/generated/sklearn.datasets.make_classification.html#sklearn.datasets.make_classification\"> make-classification </a> documentation. It has a lot of parts but most are fairly clear:\n",
    "\n",
    "- how many samples\n",
    "- how many features\n",
    "- how many of those features are:\n",
    "    - informative\n",
    "    - redundant (basically random noise)\n",
    "    - repeated (some combo of informative and redundant)\n",
    "- number of classes (how many labels)\n",
    "\n",
    "It returns two values: an array of shape(n_samples, n_features) and the integer labels (the class they belong to) for each sample.\n",
    "\n",
    "You can look at the rest or take defaults.\n",
    "\n",
    "Let's start by making a scatter plot of a sample of data with 3 features including 1 that is redundant with only 1 cluster per class (i.e., 1 grouping per labeled class). Because we have 3 features, we should look at scatter plots of each pair of features. Note that we use `c=class_labels` to send `class_labels` to the color attribute, which colorizes different classes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'feature 2')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "features, class_labels = make_classification(n_features = 3, n_redundant = 1, n_clusters_per_class=1)\n",
    "\n",
    "f, axs = plt.subplots(3,1,figsize=(12,12))\n",
    "plt.subplot(311)\n",
    "plt.scatter(features[:, 0], features[:, 1], marker = 'o', c = class_labels, ec = 'k')\n",
    "plt.xlabel('feature 0')\n",
    "plt.ylabel('feature 1')\n",
    "\n",
    "plt.subplot(312)\n",
    "plt.scatter(features[:, 1], features[:, 2], marker = 'o', c = class_labels, ec = 'k')\n",
    "plt.xlabel('feature 1')\n",
    "plt.ylabel('feature 2')\n",
    "\n",
    "plt.subplot(313)\n",
    "plt.scatter(features[:, 0], features[:, 2], marker = 'o', c = class_labels, ec = 'k')\n",
    "plt.xlabel('feature 0')\n",
    "plt.ylabel('feature 2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given your plots (you might run the code a few times), what does a \"redundant feature\" appear to be?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Answer here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Plot some examples\n",
    "\n",
    "Some data are easier to classify than others. You might remember this from the work we did with the iris data set earlier in the semester. As a reminder, we include a plot of the iris data set below along with the classfication of each sample.\n",
    "\n",
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/Iris_dataset_scatterplot.svg/768px-Iris_dataset_scatterplot.svg.png\"/>\n",
    "\n",
    "Let's plot some examples of made-up data to explore in what way we might find it easier or difficult to classify that data. Please generate:\n",
    "\n",
    "- 100 samples (that's the default), 2 features, no redundant features, one informative feature, one cluster per class\n",
    "- 100 samples (that's the default), 2 features, no redundant features, **two** informative features, one cluster per class\n",
    "- 100 samples (that's the default), 4 features, **two**  redundant features, **two** informative features, one cluster per class\n",
    "- 100 samples (that's the default), 4 features, **two**  redundant features, **two** informative features, **two** clusters per class\n",
    "\n",
    "Make a scatter plot of these data. For the data with 4 features, you might want to look at different pairs of features before answering the question below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# your code here"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given the plots here, which of these would be easiest to classify? Why? You might think back to the iris data set if it helps."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Answer here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Getting Started with Classification: Logistic Regression\n",
    "\n",
    "We will learn a variety of classifiers in this class. We will start with one of the most widely used ones: Logistic Regression. The video below provides a conceptual explanation of the technique."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"640\"\n",
       "            height=\"360\"\n",
       "            src=\"https://www.youtube.com/embed/yIYKR4sgzI8\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fa1a98fc250>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"yIYKR4sgzI8\",width=640,height=360)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Think about a siutation where you might want to classify some set of things using logistic regression. What is that set? What are the classes? And what kinds of features would you use to build that model?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=8 color=\"#009600\">&#9998;</font> Answer here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "## 5. Assignment wrap-up\n",
    "\n",
    "\n",
    "Please fill out the form that appears when you run the code below.  **You must completely fill this out in order to receive credit for the assignment!**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe \n",
       "\tsrc=\"https://cmse.msu.edu/cmse202-pc-survey\" \n",
       "\twidth=\"800px\" \n",
       "\theight=\"600px\" \n",
       "\tframeborder=\"0\" \n",
       "\tmarginheight=\"0\" \n",
       "\tmarginwidth=\"0\">\n",
       "\tLoading...\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import HTML\n",
    "HTML(\n",
    "\"\"\"\n",
    "<iframe \n",
    "\tsrc=\"https://cmse.msu.edu/cmse202-pc-survey\" \n",
    "\twidth=\"800px\" \n",
    "\theight=\"600px\" \n",
    "\tframeborder=\"0\" \n",
    "\tmarginheight=\"0\" \n",
    "\tmarginwidth=\"0\">\n",
    "\tLoading...\n",
    "</iframe>\n",
    "\"\"\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---------\n",
    "### Congratulations, you're done with your pre-class assignment!\n",
    "\n",
    "Now, you just need to submit this assignment by uploading it to the course <a href=\"https://d2l.msu.edu/\">Desire2Learn</a> web page for today's submission folder (Don't forget to add your names in the first cell).\n",
    "\n",
    "\n",
    "&#169; Copyright Michigan State University Board of Trustees"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "name": "python",
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