{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Identifying Clusters\n", "\n", "Before we get too far along, let's take a look at some different sets of data to practice identifying clusters.\n", "\n", "Start by running the cell below." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from sklearn.cluster import KMeans\n", "from sklearn.datasets import make_blobs\n", "import helper_functions as h\n", "import test_file as t\n", "from IPython import display\n", "\n", "%matplotlib inline\n", "\n", "# Make the images larger\n", "plt.rcParams['figure.figsize'] = (16, 9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`1.` Run the cell below to generate a set of data. Then enter an integer next to **`question_1_clusters`** that identifies the number of clusters you think appear in the plot.\n", "\n", "If you think that there are 2 clusters in the plot, you should enter:\n", "\n", "```\n", "question_1_clusters = 2\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h.plot_q1_data()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "That's right! There are 4 clusters in this dataset.\n" ] } ], "source": [ "question_1_clusters = 4\n", "\n", "#Then this will test your number against what we used to generate the data\n", "t.test_question_1(question_1_clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`2.` Run the cell below to generate a set of data. Then, similar to the first question, enter the number of clusters you think appear in the plot." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h.plot_q2_data()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "That's right! There are 2 clusters in this dataset.\n" ] } ], "source": [ "question_2_clusters = 2\n", "\n", "#Then this will test your number against what we used to generate the data\n", "t.test_question_2(question_2_clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`3.` Run the cell below to generate a set of data. Then, similar to the previous questions, enter the number of clusters you think appear in the plot." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h.plot_q3_data()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6 is a reasonable guess for a the number of clusters here. In the next question, you will see a different angle of this data.\n" ] } ], "source": [ "question_3_clusters = 6\n", "\n", "#Then this will test your number against what we used to generate the data\n", "t.test_question_3(question_3_clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`4.` Now one final time, run the cell below, and identify the number of clusters you think are in the plot created. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h.plot_q4_data()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This data is actually the same as the data used in question 3. Isn't it crazy how looking at data from a different angle can make us believe there are a different number of clusters in the data! We will look at how to address this in the upcoming parts of this lesson.\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "question_4_clusters = 7\n", "\n", "#Then this will test your number against what we used to generate the data\n", "display.HTML(t.test_question_4(question_4_clusters))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "**You can find a solution to this by clicking the orange jupyter image at the top of this notebook.**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }