{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Matplotlib\n", "\n", "In th first part of this tutorial, we will work with a data set in \"mtcars.csv\" that contains information on 31 cars. We will create a collection of scatterplots showing the relationship between horsepower (hp) and miles per gallon (mpg), displacement(disp) and quarter mile time (qsec). Also, in each of these plots we will distinguish between automatic (am = 0) and manual (am=1) cars. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
car_namempgcyldisphpdratwtqsecvsamgearcarb
0Lincoln Continental10.48460.02153.005.42417.820034
1Dodge Challenger15.58318.01502.763.52016.870032
2Toyota Corona21.54120.1973.702.46520.011031
3Pontiac Firebird19.28400.01753.083.84517.050032
4Chrysler Imperial14.78440.02303.235.34517.420034
5Cadillac Fleetwood10.48472.02052.935.25017.980034
6Merc 450SLC15.28275.81803.073.78018.000033
7Merc 450SL17.38275.81803.073.73017.600033
8AMC Javelin15.28304.01503.153.43517.300032
9Merc 280C17.86167.61233.923.44018.901044
10Merc 450SE16.48275.81803.074.07017.400033
11Merc 23022.84140.8953.923.15022.901042
12Merc 240D24.44146.7623.693.19020.001042
13Duster 36014.38360.02453.213.57015.840034
14Valiant18.16225.01052.763.46020.221031
15Hornet Sportabout18.78360.01753.153.44017.020032
16Hornet 4 Drive21.46258.01103.083.21519.441031
17Merc 28019.26167.61233.923.44018.301044
18Camaro Z2813.38350.02453.733.84015.410034
19Lotus Europa30.4495.11133.771.51316.901152
20Porsche 914-226.04120.3914.432.14016.700152
21Fiat X1-927.3479.0664.081.93518.901141
22Ford Pantera L15.88351.02644.223.17014.500154
23Ferrari Dino19.76145.01753.622.77015.500156
24Mazda RX421.06160.01103.902.62016.460144
25Honda Civic30.4475.7524.931.61518.521142
26Fiat 12832.4478.7664.082.20019.471141
27Maserati Bora15.08301.03353.543.57014.600158
28Datsun 71022.84108.0933.852.32018.611141
29Mazda RX4 Wag21.06160.01103.902.87517.020144
30Toyota Corolla33.9471.1654.221.83519.901141
31Volvo 142E21.44121.01094.112.78018.601142
\n", "
" ], "text/plain": [ " car_name mpg cyl disp hp drat wt qsec vs am \\\n", "0 Lincoln Continental 10.4 8 460.0 215 3.00 5.424 17.82 0 0 \n", "1 Dodge Challenger 15.5 8 318.0 150 2.76 3.520 16.87 0 0 \n", "2 Toyota Corona 21.5 4 120.1 97 3.70 2.465 20.01 1 0 \n", "3 Pontiac Firebird 19.2 8 400.0 175 3.08 3.845 17.05 0 0 \n", "4 Chrysler Imperial 14.7 8 440.0 230 3.23 5.345 17.42 0 0 \n", "5 Cadillac Fleetwood 10.4 8 472.0 205 2.93 5.250 17.98 0 0 \n", "6 Merc 450SLC 15.2 8 275.8 180 3.07 3.780 18.00 0 0 \n", "7 Merc 450SL 17.3 8 275.8 180 3.07 3.730 17.60 0 0 \n", "8 AMC Javelin 15.2 8 304.0 150 3.15 3.435 17.30 0 0 \n", "9 Merc 280C 17.8 6 167.6 123 3.92 3.440 18.90 1 0 \n", "10 Merc 450SE 16.4 8 275.8 180 3.07 4.070 17.40 0 0 \n", "11 Merc 230 22.8 4 140.8 95 3.92 3.150 22.90 1 0 \n", "12 Merc 240D 24.4 4 146.7 62 3.69 3.190 20.00 1 0 \n", "13 Duster 360 14.3 8 360.0 245 3.21 3.570 15.84 0 0 \n", "14 Valiant 18.1 6 225.0 105 2.76 3.460 20.22 1 0 \n", "15 Hornet Sportabout 18.7 8 360.0 175 3.15 3.440 17.02 0 0 \n", "16 Hornet 4 Drive 21.4 6 258.0 110 3.08 3.215 19.44 1 0 \n", "17 Merc 280 19.2 6 167.6 123 3.92 3.440 18.30 1 0 \n", "18 Camaro Z28 13.3 8 350.0 245 3.73 3.840 15.41 0 0 \n", "19 Lotus Europa 30.4 4 95.1 113 3.77 1.513 16.90 1 1 \n", "20 Porsche 914-2 26.0 4 120.3 91 4.43 2.140 16.70 0 1 \n", "21 Fiat X1-9 27.3 4 79.0 66 4.08 1.935 18.90 1 1 \n", "22 Ford Pantera L 15.8 8 351.0 264 4.22 3.170 14.50 0 1 \n", "23 Ferrari Dino 19.7 6 145.0 175 3.62 2.770 15.50 0 1 \n", "24 Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 \n", "25 Honda Civic 30.4 4 75.7 52 4.93 1.615 18.52 1 1 \n", "26 Fiat 128 32.4 4 78.7 66 4.08 2.200 19.47 1 1 \n", "27 Maserati Bora 15.0 8 301.0 335 3.54 3.570 14.60 0 1 \n", "28 Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 \n", "29 Mazda RX4 Wag 21.0 6 160.0 110 3.90 2.875 17.02 0 1 \n", "30 Toyota Corolla 33.9 4 71.1 65 4.22 1.835 19.90 1 1 \n", "31 Volvo 142E 21.4 4 121.0 109 4.11 2.780 18.60 1 1 \n", "\n", " gear carb \n", "0 3 4 \n", "1 3 2 \n", "2 3 1 \n", "3 3 2 \n", "4 3 4 \n", "5 3 4 \n", "6 3 3 \n", "7 3 3 \n", "8 3 2 \n", "9 4 4 \n", "10 3 3 \n", "11 4 2 \n", "12 4 2 \n", "13 3 4 \n", "14 3 1 \n", "15 3 2 \n", "16 3 1 \n", "17 4 4 \n", "18 3 4 \n", "19 5 2 \n", "20 5 2 \n", "21 4 1 \n", "22 5 4 \n", "23 5 6 \n", "24 4 4 \n", "25 4 2 \n", "26 4 1 \n", "27 5 8 \n", "28 4 1 \n", "29 4 4 \n", "30 4 1 \n", "31 4 2 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "#Read in data frame - Note the new style \"bmh\"\n", "plt.style.use(\"ggplot\")\n", "df_cars = pd.read_csv(\"Data/mtcars.csv\")\n", "#I am sorting so I can slice out the automatic and manual calls.\n", "df_cars_sorted = df_cars.sort_values(by=\"am\").reset_index(drop = True)\n", "df_cars_sorted" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Get automatic (am=0) versus manual (am=1) cars. We will see a faster way to do this using SQL.\n", "df_cars_auto = df_cars_sorted.loc[0:18,:]\n", "df_cars_man = df_cars_sorted.loc[19:,:]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's first create a 1x3 figure on which we will place the three plots. Here are the key matplotlib terms.:\n", "\n", "- subplots(nrows, ncols, figsize). This creates your figure and axes. The layout of your figure is determined by what you specify for nrows and ncols. You will get a grid of axes. The size of this grid is determined by what you specify for figsize, which takes a list where the first entry specifies the horizontal length and the second entry specifies the vertical length.\n", "- fig.suptitle(): You can use this method of the figure to add an overarching title to the plot." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3IAAAFTCAYAAAB8uD5bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create figure and get the axes\n", "fig , (ax0,ax1,ax2) = plt.subplots(nrows=1,ncols=3, figsize = (15,5))\n", "\n", "#Add title for entire figure\n", "fig.suptitle(\"Understanding the Effect of Horspower on other Features\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the first axis I will plot hp versus miles per gallon. Recall the axis method set():\n", "\n", "- ax.set(title, xlabel, ylabel): You can use these arguments given to the set method to add titles and axes lables to a given axis." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA4AAAAFkCAYAAABxflXqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Plot hp versus mpg for auto\n", "df_cars_auto.plot(kind=\"scatter\", x = \"hp\", y = \"mpg\", color = 'b', label = \"auto\", ax = ax0 )\n", "\n", "#Plot hp versus mpg for manual\n", "df_cars_man.plot(kind=\"scatter\", x = \"hp\", y = \"mpg\", color = 'r', marker = \"x\", label = \"manual\", ax = ax0 )\n", "\n", "#Change axis labels and title\n", "ax0.set(title = \"hp vs. mpg\", xlabel=\"horspower\", ylabel=\"miles per gallon\")\n", "\n", "#Get rid of grid lines\n", "ax0.grid(False)\n", "\n", "#Change the background color\n", "ax0.set_facecolor(\"white\")\n", "\n", "\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There were a couple of new inputs that I used when creating the plot:\n", "\n", "- color: changes color of marks.\n", "- marker: style of the mark.\n", "- label: identification for the legend.\n", "\n", "I also introduced some new axes method:\n", "\n", "- ax.grid(False): Removes the horizontal an vertical lines that create a grid on top of the plot.\n", "- ax.set_facecolor(\"color\"): Changes background color of the plot.\n", "\n", "Also, note that I can plot two different plot on the same axes simply by specifying the same axes with the ax input when I create the plots.\n", "\n", "Now, let's create the other two plots on the remaining two axes.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA4AAAAFkCAYAAABxflXqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Plot hp versus displacement for auto\n", "df_cars_auto.plot(kind=\"scatter\", x = \"hp\", y = \"disp\", color = 'b', label = \"auto\", ax = ax1 )\n", "\n", "#Plot hp versus mpg for manual\n", "df_cars_man.plot(kind=\"scatter\", x = \"hp\", y = \"disp\", color = 'r', marker = \"x\", label = \"manual\", ax = ax1)\n", "\n", "#Change axis labels and title\n", "ax1.set(title = \"hp vs. disp\", xlabel=\"horspower\", ylabel=\"dispersion (cu. in.)\")\n", "\n", "#Plot hp versus quater mile time for auto\n", "df_cars_auto.plot(kind=\"scatter\", x = \"hp\", y = \"qsec\", color = 'b', label = \"auto\", ax = ax2, )\n", "\n", "#Plot hp versus mpg for manual\n", "df_cars_man.plot(kind=\"scatter\", x = \"hp\", y = \"qsec\", color = 'r', marker = \"x\", label = \"manual\", ax = ax2)\n", "\n", "#Change axis labels and title\n", "ax2.set(title = \"hp vs. qsec\", xlabel=\"horspower\", ylabel=\"1/4 mile time (sec)\")\n", "\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll finish by adding two horizontal lines to the first plot denoting the respective average mpg for automatic and manual cars respectively." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA4AAAAFkCAYAAABxflXqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/H9OzaAUzYyWJgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Compute the two means\n", "mean_mpg_auto = df_cars_auto.mpg.mean()\n", "mean_mpg_man = df_cars_man.mpg.mean()\n", "\n", "#Draw the two lines\n", "ax0.axhline(mean_mpg_auto, color = \"b\", linestyle = \"--\")\n", "ax0.axhline(mean_mpg_man, color = \"r\", linestyle = \"--\")\n", "\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can save the figure as follows. The bbox_inches = \"tight\" will eliminate the white space around the saved image." ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Saving the figure to png\n", "fig.savefig(\"carplots.png\", bbox_inches = \"tight\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": {}, "navigate_menu": true, "number_sections": true, "sideBar": true, "skip_h1_title": false, "threshold": 4, "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 2 }