diff --git a/Matplotlib.ipynb b/Matplotlib.ipynb new file mode 100644 index 0000000..2f0f1db --- /dev/null +++ b/Matplotlib.ipynb @@ -0,0 +1,852 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "Matplotlib:\n", + "\n", + "Matplotlib is a plotting library for the Python Programming language and its numerical mathematics extension NumPy. It provides an object-oriented API for embedding plots into applications.\n", + "Some of the major Pros of MatplotLib are:\n", + "\n", + "\n", + "* Generally easy to get started for simple plots\n", + "* Support for custom label and texts\n", + "\n", + "* High-Quality output in many formats\n", + "* Very Customizable in general\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "t5D34sfb-Lmk" + } + }, + { + "cell_type": "code", + "source": [ + "# Importing Libraries\n", + "import numpy as np # To get data for our plots\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt #pyplot is python plot" + ], + "metadata": { + "id": "AwigSk5u-UyH" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# linspace is a function in numpy that return evenly spaced 100 value b/w 0 and 10\n", + "x = np.linspace(0,10,100)\n", + "y = np.sin(x)\n", + "z = np.cos(x)" + ], + "metadata": { + "id": "1jEMcPLY_3Ha" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "print(x)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4l68U3gmBLfO", + "outputId": "0f388f0f-8d8b-4536-c50d-90428832123f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 0. 0.1010101 0.2020202 0.3030303 0.4040404 0.50505051\n", + " 0.60606061 0.70707071 0.80808081 0.90909091 1.01010101 1.11111111\n", + " 1.21212121 1.31313131 1.41414141 1.51515152 1.61616162 1.71717172\n", + " 1.81818182 1.91919192 2.02020202 2.12121212 2.22222222 2.32323232\n", + " 2.42424242 2.52525253 2.62626263 2.72727273 2.82828283 2.92929293\n", + " 3.03030303 3.13131313 3.23232323 3.33333333 3.43434343 3.53535354\n", + " 3.63636364 3.73737374 3.83838384 3.93939394 4.04040404 4.14141414\n", + " 4.24242424 4.34343434 4.44444444 4.54545455 4.64646465 4.74747475\n", + " 4.84848485 4.94949495 5.05050505 5.15151515 5.25252525 5.35353535\n", + " 5.45454545 5.55555556 5.65656566 5.75757576 5.85858586 5.95959596\n", + " 6.06060606 6.16161616 6.26262626 6.36363636 6.46464646 6.56565657\n", + " 6.66666667 6.76767677 6.86868687 6.96969697 7.07070707 7.17171717\n", + " 7.27272727 7.37373737 7.47474747 7.57575758 7.67676768 7.77777778\n", + " 7.87878788 7.97979798 8.08080808 8.18181818 8.28282828 8.38383838\n", + " 8.48484848 8.58585859 8.68686869 8.78787879 8.88888889 8.98989899\n", + " 9.09090909 9.19191919 9.29292929 9.39393939 9.49494949 9.5959596\n", + " 9.6969697 9.7979798 9.8989899 10. ]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "print(y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "m6j8__hPBM52", + "outputId": "4d4f1dac-de4f-4c25-c0b9-0f87654e2b41" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 0. 0.10083842 0.20064886 0.2984138 0.39313661 0.48385164\n", + " 0.56963411 0.64960951 0.72296256 0.78894546 0.84688556 0.8961922\n", + " 0.93636273 0.96698762 0.98775469 0.99845223 0.99897117 0.98930624\n", + " 0.96955595 0.93992165 0.90070545 0.85230712 0.79522006 0.73002623\n", + " 0.65739025 0.57805259 0.49282204 0.40256749 0.30820902 0.21070855\n", + " 0.11106004 0.01027934 -0.09060615 -0.19056796 -0.28858706 -0.38366419\n", + " -0.47483011 -0.56115544 -0.64176014 -0.7158225 -0.7825875 -0.84137452\n", + " -0.89158426 -0.93270486 -0.96431712 -0.98609877 -0.99782778 -0.99938456\n", + " -0.99075324 -0.97202182 -0.94338126 -0.90512352 -0.85763861 -0.80141062\n", + " -0.73701276 -0.66510151 -0.58640998 -0.50174037 -0.41195583 -0.31797166\n", + " -0.22074597 -0.12126992 -0.0205576 0.0803643 0.18046693 0.27872982\n", + " 0.37415123 0.46575841 0.55261747 0.63384295 0.7086068 0.77614685\n", + " 0.83577457 0.8868821 0.92894843 0.96154471 0.98433866 0.99709789\n", + " 0.99969234 0.99209556 0.97438499 0.94674118 0.90944594 0.86287948\n", + " 0.8075165 0.74392141 0.6727425 0.59470541 0.51060568 0.42130064\n", + " 0.32770071 0.23076008 0.13146699 0.03083368 -0.07011396 -0.17034683\n", + " -0.26884313 -0.36459873 -0.45663749 -0.54402111]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "print(z)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "pc6rq0_HBPgk", + "outputId": "5dcfb772-2c29-47b6-f3bb-4ff65cd21b32" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 1. 0.99490282 0.97966323 0.95443659 0.91948007 0.87515004\n", + " 0.8218984 0.76026803 0.69088721 0.61446323 0.53177518 0.44366602\n", + " 0.35103397 0.25482335 0.15601496 0.0556161 -0.04534973 -0.14585325\n", + " -0.24486989 -0.34139023 -0.43443032 -0.52304166 -0.60632092 -0.68341913\n", + " -0.75355031 -0.81599952 -0.87013012 -0.91539031 -0.95131866 -0.97754893\n", + " -0.9938137 -0.99994717 -0.9958868 -0.981674 -0.95745366 -0.92347268\n", + " -0.88007748 -0.82771044 -0.76690542 -0.69828229 -0.6225406 -0.54045251\n", + " -0.45285485 -0.36064061 -0.26474988 -0.16616018 -0.06587659 0.03507857\n", + " 0.13567613 0.23489055 0.33171042 0.4251487 0.51425287 0.59811455\n", + " 0.67587883 0.74675295 0.8100144 0.86501827 0.91120382 0.94810022\n", + " 0.97533134 0.99261957 0.99978867 0.99676556 0.98358105 0.96036956\n", + " 0.9273677 0.88491192 0.83343502 0.77346177 0.70560358 0.63055219\n", + " 0.54907273 0.46199582 0.37020915 0.27464844 0.17628785 0.07613012\n", + " -0.0248037 -0.12548467 -0.2248864 -0.32199555 -0.41582217 -0.50540974\n", + " -0.58984498 -0.66826712 -0.7398767 -0.8039437 -0.859815 -0.90692104\n", + " -0.94478159 -0.97301068 -0.99132055 -0.99952453 -0.99753899 -0.98538417\n", + " -0.96318398 -0.93116473 -0.88965286 -0.83907153]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Plotting the Data" + ], + "metadata": { + "id": "EDvMn-JrDJQn" + } + }, + { + "cell_type": "code", + "source": [ + "# Sine Wave\n", + "plt.plot(x,y)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "zUC3pt-RDKzD", + "outputId": "07cb5513-2d50-4977-d73d-1045413070e5" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Cosine Wave\n", + "plt.plot(x,z)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "Xoi2BVY0DVE_", + "outputId": "5ff62c19-05f9-41f9-9499-9004cb021424" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Multiple plots:\n", + "# (2,2,1) having two rows, two columns and position of that plot is 1\n", + "plt.subplot(2,2,1)\n", + "plt.plot(x,y,'r--')\n", + "plt.subplot(2,2,2)\n", + "plt.plot(x,z,'g-*')\n", + "plt.subplot(2,2,3)\n", + "plt.plot(x,y,'b+-')\n", + "plt.subplot(2,2,4)\n", + "plt.plot(x,z,'y-*')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "Qvz7IHHltlXj", + "outputId": "24cdb82b-d4ba-43e3-ba94-867ab4486f58" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Adding title to x-axis and y-axis labels\n", + "plt.plot(x,y)\n", + "plt.xlabel('Angle')\n", + "plt.ylabel('Sine Wave')\n", + "plt.title('Sine Wave')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "id": "MEYs6m4QDlnk", + "outputId": "596e77c0-64e0-49d3-9d8e-391338ae78e0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Linear Graph\n", + "x = np.linspace(20,40,15)\n", + "y = 3*x + 5\n", + "plt.plot(x,y,'y-')\n", + "plt.xlabel('X-Axis')\n", + "plt.ylabel('Y-Axis')\n", + "plt.title('Linear Graph')\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "id": "q--3ANWRv0sE", + "outputId": "a35d397c-b652-4b09-ff03-599c23269080" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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AunXXkZExmTlznmTUqE+HHUviQKUgIu+zZcsTlJWdTFPTaiZO/DaFhT8hJSUr7FgSJyoFEQGgpWULFRVns3Hjb8nMnM78+S8wfPjHwo4lcaZSEBnk3J2amocoLz+d1tatFBT8gIKCH5CUlB52NAmBSkFkEGtqWk95+els3vwwWVkHMHfuk2RlzQ07loRIpSAyCLk7GzbcQWXlObS3NzJlyuXk5Z1NUpKeEgY7PQJEBpmGhhWUlS2mtvZphg8/hNLSW8jMLAk7liQIlYLIIOHextq111JV9X3MkikuvoEJExZrADt5H5WCyCCwc+e7RCInsn37i4wadRQlJTeRkTEp7FiSgFQKIgNYe3sLq1ZdzsqVPyY5OZvp03/P2LFf0QB20iOVgsgAtWPHEpYvP4GdO98iJ+d/KS6+hrS0sWHHkgSnUhAZYNraGqiuvoTVq39JWto4Zs36E2PGHBN2LOknVAoiA0hd3XNEIifS0FBObu6JTJlyBampI8KOJf1IzF52YGa3m9kmM1vWadooM3vKzMqD7yOD6WZm15hZhZm9ZWYLYpVLZCBqbd1OWdlpLF16KO5tzJ37NKWlt6gQZJ/F8rVodwJHdpl2PvCMuxcDzwTXAY4CioOvxcANMcwlMqBs2fI4r746i3XrbiIv72wOPPAtRo78VNixpJ+KWSm4+3PA1i6TjwHuCi7fBXy+0/TfetRLwAgzy41VNpGBoLl5M++99zXefvszJCdns2DBvygqupLk5KFhR5N+LN7nFMa5+/rg8gZg92f5TQRWd5pvTTBtPSLyPtEB7O6nvPxbtLbWUlBwMQUFF2gAO+kToZ1odnc3M9/X5cxsMdFDTOTn5/d5LpFE1tS0jrKyU9my5VGysxdSWvoMWVmzw44lA0i839++cfdhoeD7pmD6WqDz2yvzgmkf4O43u/tCd1+Yk5MT07AiicLdWbfuVl55ZQa1tU8ydeovmT//RRWC9Ll4l8KjwPHB5eOBRzpN/3rwKqSPAts6HWYSGdQaGqp4883DKSs7iayseSxc+DaTJp2jEU0lJvb6qDKzjwNL3X2nmX0VWAD82t1X7mW5e4DDgDFmtga4GLgMuN/MFgErgWOD2R8HjgYqgF3AN/fvxxEZONzbWLPmGlasuBCzFEpKbiI390QNYCcx1Zt/NW4A5prZXOAc4Fbgt8Che1rI3b/cw00feK2cuztwei+yiAwK9fXLiEQWsWPHK4we/VmKi28gIyMv7FgyCPTmX47W4En7GOBad78OyI5tLJHBqb29merqS1myZAGNjVVMn/4HZs16VIUgcdObPYUdZnYB8FXgEIvuu6bGNpbI4LN9+ytEIovYuXMZY8d+haKiq0lL04spJL56s6fwv0ATsMjdNxB9ZdAVMU0lMoi0te2iouJcXn/9Y7S01DJr1qPMmHG3CkFCsdc9haAIftXp+iqi5xRE5EOqrX2WSOREGhuryM09malTLyclZXjYsWQQ67EUzOyf7n6wme0AOr/JzIieGx4W83QiA1Rr6zYqK7/L+vW3kJExlblzn2XkyMPCjiXScym4+8HBd51UFulDmzf/mbKyU2hu3sCkSecyefKlJCdnhh1LBOjFOQUzO7ybacd3N6+I9Ky5uYZ33/0yy5Z9jtTU0SxY8BJTp16hQpCE0ptXH11kZl8EzgWyiL5PoYl/j3YqInvg7mzadA/l5WfS1radyZMvJT//fJKS0sKOJvIBvSmFQ4m+aW1pcP0id78ndpFEBo7GxtWUlZ3K1q2PkZ39EaZNu42hQ2eGHUukR70phZHAQUAl0ZejFpiZBW9oE5FuuLezfv0tVFZ+F/c2pk69iry8b2GWHHY0kT3qzfsUXgKecPcjgQOBCcALMU0l0o/t2lXO0qWfpKzsFLKzD+LAA99m0qSzVAjSL/RmT+Hw4L0JuHsDcKaZHRLbWCL9T3t7K2vWXEV19UWYpVNaeivjx5+AmYUdTaTXevPmtVW7L5vZVOArwHGADoyKBOrr3woGsHuN0aOPoaTketLTJ4QdS2Sf9eYlqRPM7Dtm9irwTrDMcTFPJtIPtLc3sWLFRSxZcgCNjSuZMeM+Zs16WIUg/dae3tG8GPgy0c9Kvh9YBDzi7pfGKZtIQtu27SUikUXs2vUu48Z9jaKiq0hNHR12LJEPZU+Hj64FXgS+4u6vAezPZyqLDDRtbTtZseIHrFnza9LT85g9+3FGjz4q7FgifWJPpZALfAm40szGE91b0JDZMqjV1j5DJHISjY0rmDDhNKZM+TkpKRoGTAaOHs8puPsWd7/R3Q8l+mlpdcBGM3vPzH4Wt4QiCaClpY7ly0/kzTcPxyyFefP+QUnJdSoEGXB69cnf7r4GuJLoXkMJOtEsg8jmzY9QVnYqzc2bmDTpPCZPvpjk5CFhxxKJiV6Vwm5m9rq7LwB+FKM8IgmjuXkT5eXfoqbmfoYOncvs2X8mO/uAsGOJxNSeXn30OHCau1d3nhzzRCIhc3c2brybiopv09ZWT2HhT5g06XskJemUmgx8e9pTuAN40szuAn7h7i3AY/GJJRKOxsZVlJWdwtatf2XYsI9RWnobQ4dODzuWSNzs6UTzA8ACYBjwmpmdC2w1s7PN7Ox4BRSJB/d21q69nldfnUld3XMUFV3D/PnPqxBk0NnbOYVmYCeQDmQD7TFPJBJnu3aVEYmcyLZtzzNy5KcpKbmZIUMmhx1LJBR7OqdwJPAr4FFggbvv6quVmtm3gZOInqO4xd2vNrNRwH3AZKAaONbda/tqnSJdRQewu5IVK6KvJiotvYPx44/XAHYyqO1pT+FC4Evu/k5frtDMZhEthIOI7ok8YWZ/ARYDz7j7ZWZ2PnA+cF5frltkt/r6N1m+/ATq619nzJj/prj4OtLTc8OOJRK6HkvB3T8Ro3VOB17evedhZv8AvgAcAxwWzHMX8HdUCtLH2toaWbnyJ6xefTkpKaOZOfNBcnK+GHYskYSxT+9T6CPLgJ+a2WigATgaeA0Y5+7rg3k2AONCyCYD2LZt/woGsFvOuHHHU1T0K1JTR4UdSyShxL0U3P09M7sceJLoSeylQFuXebynwfeC0VsXA+Tn58c4rQwEra31rFjxfdauvZb09EnMmfMEo0YdEXYskYTUm4/j7HPufpu7H+DuhwC1QBnRcZVyAYLvm3pY9mZ3X+juC3NycuIXWvqlrVuf5NVXZ7F27bVMnHg6Bx64TIUgsgdhHD7CzMa6+yYzyyd6PuGjQCFwPHBZ8P2RMLLJwNDSspXKynPYsOFOhgwpZd685xgx4uCwY4kkvFBKAXgoOKfQApzu7nVmdhlwv5ktAlYCx4aUTfq5mpo/UlZ2Gi0tm8nPv4CCgotITs4IO5ZIvxBKKXT3yiZ330J0iG6R/dLUtIHy8jPYvPkhsrLmMWfOX8nOnh92LJF+Jaw9BZE+4+5s2HAXlZVn09a2i8LCnzFp0rkawE5kP6gUpF9raKimrOxkamufZNiwj1NaeitDh04LO5ZIv6VSkH4pOoDddVRVXYCZUVx8LRMmnIpZKC+oExkwVArS7+zcuZxI5ES2b3+BkSOPoLT0JjIyCsKOJTIgqBSk32hvb2H16iuorr6U5OShTJt2F+PGfU0D2In0IZWC9As7drxOJLKI+vql5OR8ieLi35CWppFQRPqaSkESWltbAytX/ohVq64gLS2HmTP/SE7Of4cdS2TAUilIwqqr+yeRyCIaGsoYP/4Epk79JampI8OOJTKgqRQk4bS27qCq6gLWrbuOjIzJzJnzFKNGHR52LJFBQaUgCWXLlicoKzuZpqbV5OWdxeTJPyYlJSvsWCKDhkpBEkJLyxYqKs5m48bfkpk5nfnzX2D48I+FHUtk0FEpSKjcnZqaBykvP4PW1q0UFPyQgoILSUpKDzuayKCkUpDQNDWtp7z8NDZv/hNZWQcwd+6TZGXNDTuWyKCmUpC4iw5gdwcVFWfj3sSUKb8gL+87JCXp4SgSNv0VSlw1NKygrGwxtbVPM3z4IZSW3kpmZnHYsUQkoFKQuHBvY+3aa6mq+j5myRQX38CECYs1gJ1IglEpSMzt3PluMIDdi4wadTQlJTeSkTEp7Fgi0g2VgsRMe3sLq1ZdzsqVPyY5OZvp03/P2LFf0QB2IglMpSAxsX37a0Qii9i58y3Gjj2OoqJfk5Y2NuxYIrIXKgXpU21tDVRXX8zq1VeSljaeWbMeYcyYz4UdS0R6SaUgfaau7h9EIifS0FBBbu5JTJnyC1JTR4QdS0T2gUpBPrTW1u1UVZ3HunU3kpExhblzn2HkyE+GHUtE9oNKQT6ULVseDwawW0de3tkUFv6I5OShYccSkf2kUpD90ty8mYqKs9i06W4yM2eyYMGDDBv2kbBjiciHFEopmNl3gBMBB94GvgnkAvcCo4ElwNfcvTmMfNKz6AB291Ne/i1aW+soKLiYgoLvk5SUFnY0EekDcX87qZlNBM4EFrr7LCAZOA64HLjK3YuAWmBRvLPJnjU1rWXZss/z7rvHkZExmQMOWEJh4SUqBJEBJKwxBlKAIWaWAmQC64FPAg8Gt98FfD6kbNKFu7Nu3S288soMamufYurUX7JgwYtkZc0OO5qI9LG4Hz5y97Vm9ktgFdAAPEn0cFGdu7cGs60BJna3vJktBhYD5Ofnxz7wINfQUEkkchJ1dc8yYsRhlJTcQmZmUdixRCRGwjh8NBI4BigEJgBDgSN7u7y73+zuC919YU5OToxSinsbq1f/ildfnc2OHUsoKbmJuXOfUSGIDHBhnGg+HFjh7jUAZvZH4OPACDNLCfYW8oC1IWQToL5+GZHIInbseIXRoz9LcfENZGTkhR1LROIgjHMKq4CPmlmmRUdG+xTwLvAs8D/BPMcDj4SQbVBrb2+muvpSlixZQGNjFdOn/4FZsx5VIYgMImGcU3jZzB4EXgdagTeAm4HHgHvN7CfBtNvinW0w2779lWAAu2WMHfsVioquJi1Nh+dEBptQ3qfg7hcDF3eZXAUcFEKcQa2tbRcrVlzEmjVXkZaWy6xZf2bMmM+GHUtEQqJ3NA9itbXPEomcSGNjFbm5JzN16uWkpAwPO5aIhEilMAi1tm6jsvJ7rF9/MxkZU5k791lGjjws7FgikgBUCoPM5s1/pqzsFJqbNzBp0rlMnnwpycmZYccSkQShUhgkmptrqKg4k02b7mXo0NnMmvUnhg07MOxYIpJgVAoDnLuzadM9lJefSVvbdiZP/hH5+edpvCIR6ZZKYQBrbFxNWdmpbN36GNnZH2HatNsYOnRm2LFEJIGpFAYg93bWrbuZqqrv4d7G1KlXkZf3LcySw44mIglOpTDA7NpVTiRyEtu2/YMRIz5FaenNDBkyJexYItJPqBQGiPb2VtasuYrq6oswS6e09FbGjz+B6EgiIiK9o1IYAOrr32T58kXU1y9h9OhjKCm5nvT0CWHHEpF+SKXQj7W3N7Fy5U9YteoyUlJGMWPG/eTk/I/2DkRkv6kU+qlt214kElnErl3vMW7c1ygquorU1NFhxxKRfk6l0M+0te2kqupC1q69hvT0PGbPfpzRo48KO5aIDBAqhX5k69anKSs7icbGaiZMOJ0pU35OSkp22LFEZABRKfQDLS21VFaey4YNtzNkSDHz5j3HiBGfCDuWiAxAKoUEV1PzJ8rLT6O5eRP5+edTUHARyclDwo4lIgOUSiFBNTdvpLz8W9TUPMDQoXOZPfvPZGcfEHYsERngVAoJxt3ZuPF3VFScRVvbTgoLf8qkSd8lKSk17GgiMgioFBJIY+MqyspOZuvWJxg27D8oLb2NoUOnhR1LRAYRlUICiA5gdwNVVefj7hQVXcPEiadjlhR2NBEZZFQKIdu1K0IkciLbtv2TkSM/TUnJzQwZMjnsWCIySKkUQtLe3sLq1VdSXX0JyclDKC29g/Hjj9cQFSISKpVCCHbseINIZBH19W8wZswXKS6+lvT08WHHEhFRKcRTW1sjK1f+mFWrLic1dQwzZz5ITs4Xw44lItIh7qVgZqXAfZ0mTQEuAn4bTJ8MVAPHunttvPPFyrZtL7B8+SIaGiKMH/8Npk69ktTUUWHHEhF5n7i/vMXdI+4+z93nAQcAu4CHgfOBZ9y9GHgmuN7vtfDVxKwAAAspSURBVLbWU15+Jm+88Qna2xuZM+dvTJt2hwpBRBJS2IePPgVUuvtKMzsGOCyYfhfwd+C8kHL1ia1bnyQSWUxT0yomTjyDwsKfkZKSFXYsEZEehV0KxwH3BJfHufv64PIGYFx3C5jZYmAxQH5+fswD7o+Wlq1UVp7Dhg13MmRIKfPnP8/w4R8PO5aIyF6F9u4oM0sDPgc80PU2d3fAu1vO3W9294XuvjAnJyfGKfddTc1DvPLKDDZs+B35+ReycOFSFYKI9Bth7ikcBbzu7huD6xvNLNfd15tZLrApxGz7rKlpA+XlZ7B580NkZc1nzpwnyM6eF3YsEZF9EuY4Cl/m34eOAB4Fjg8uHw88EvdE+8HdWb/+Tl59dTpbtvyFwsKfs2DBKyoEEemXQtlTMLOhwKeBkztNvgy438wWASuBY8PIti8aGqopK1tMbe1TDB9+MKWlt5KZWRp2LBGR/RZKKbj7TmB0l2lbiL4aKeG5t7N27XVUVV2AmVFcfB0TJpyiAexEpN8L+9VH/c7One8RiZzI9u3/YtSoIykpuZGMjIKwY4mI9AmVQi9FB7C7gurqS0lOzmLatN8ybtxXNYCdiAwoKoVe2LHjdZYvP4GdO98kJ+dYiouvIS2t27dRiIj0ayqFPWhra6C6+lJWr/4laWk5zJz5MDk5nw87lohIzKgUelBX9zyRyIk0NJQxfvwipk69gtTUkWHHEhGJKZVCF62t26mquoB1664nI2Myc+Y8xahRh4cdS0QkLlQKnWzZ8lfKyk6mqWkNeXlnUVj4E5KTh4YdS0QkblQKQEvLFioqvsPGjb8jM3M68+e/wPDhHws7lohI3A3qUnB3amoeoLz8DFpbayko+CEFBReSlJQedjQRkVAM2lJoalpHefnpbN78J7KyDmDu3KfJypoTdiwRkVANylLYsuVx3n33K7g3MWXKL8jL+w5JSYNyU4iIvM+gfCYcMqSE4cM/RlHRNWRmFocdR0QkYQzKUsjMLGLOnL+GHUNEJOFoWE8REemgUhARkQ4qBRER6aBSEBGRDioFERHpoFIQEZEOKgUREemgUhARkQ7m7mFn2G9mVgOs3M/FxwCb+zBOX0nUXJC42ZRr3yjXvhmIuQrcPae7G/p1KXwYZvaauy8MO0dXiZoLEjebcu0b5do3gy2XDh+JiEgHlYKIiHQYzKVwc9gBepCouSBxsynXvlGufTOocg3acwoiIvJBg3lPQUREulApiIhIhwFXCmY2ycyeNbN3zewdM/t2MH2UmT1lZuXB95E9LH98ME+5mR0fh1xXmNlyM3vLzB42sxE9LF9tZm+b2VIzey0OuS4xs7XB+paa2dE9LH+kmUXMrMLMzo9Drvs6Zao2s6U9LB+r7ZVhZq+Y2ZtBrkuD6YVm9nKwHe4zs7Qelr8gmCdiZkfEIdfdwbqWmdntZpbaw/Jtnbbro3HIdaeZrei0znk9LB+rv8eecj3fKdM6M/tTD8vHZHt1uv9kM3vDzP4SXI/f48vdB9QXkAssCC5nA2XADOAXwPnB9POBy7tZdhRQFXwfGVweGeNc/wmkBNMv7y5XcFs1MCaO2+sS4Ny9LJsMVAJTgDTgTWBGLHN1medK4KI4by8DsoLLqcDLwEeB+4Hjguk3Aqd2s+yMYBulA4XBtkuOca6jg9sMuKe7XMEy9X29rfaS607gf/aybCz/HrvN1WWeh4Cvx3N7dbr/s4E/AH8Jrsft8TXg9hTcfb27vx5c3gG8B0wEjgHuCma7C/h8N4sfATzl7lvdvRZ4Cjgylrnc/Ul3bw1mewnI64v1fdhcvVz8IKDC3avcvRm4l+h2jnkuMzPgWKJPdHHjUfXB1dTgy4FPAg8G03t6fB0D3OvuTe6+Aqggug1jlsvdHw9uc+AV4v/46ml79UYs/x73mMvMhhH9nXa7pxBLZpYHfAa4NbhuxPHxNeBKoTMzmwzMJ/pfwDh3Xx/ctAEY180iE4HVna6vofdPkPubq7MTgJ4+PNqBJ81siZkt7utMPeQ6Izisdbt1f7gtzO31CWCju5f3sFjMtlewa78U2ET0iaoSqOtU7j1th5hur6653P3lTrelAl8Dnuhh8Qwze83MXjKz7p5wYpHrp8Hj6yozS+9m0dC2F9En3WfcfXsPi8dsewFXA98D2oPro4nj42vAloKZZRHd/Tur6y82+K8plNfi9pTLzC4EWoG7e1j0YHdfABwFnG5mh8Q41w3AVGAesJ7ooZq428Pv8cvseS8hZtvL3dvcfR7R/7oPAqb11X1/GF1zmdmsTjdfDzzn7s/3sHiBR4dM+ApwtZlNjXGuC4hutwOJHh46r6/W9yFz7ba3x1dMtpeZfRbY5O5L+uL+9seALIXgv6KHgLvd/Y/B5I1mlhvcnkv0v4Ou1gKTOl3PC6bFMhdm9g3gs8D/BYX1Ae6+Nvi+CXiYPjrs0FMud98Y/NG0A7f0sL6wtlcK8AXgvp6WjeX26rSOOuBZ4GPAiCAX9LwdYrq9usl1JICZXQzkED1O3dMyu7dXFfB3ontmMcsVHB50d28C7iCEx1d3uQDMbEyQ57E9LBOr7fVx4HNmVk30cOwngV8Tz8fXvp6ESPQvoieQfgtc3WX6Fbz/RPMvull2FLCC6EmtkcHlUTHOdSTwLpCzh2WHAtmdLv+L6B9WLHPldrr8HaLHKrsum0L05F8h/z7RPDOWuTpts3+EtL1ygBHB5SHA80QL/QHefyLwtG6Wncn7TwRW0XcnmnvKdWLw8w/Zw7IjgfTg8hignL57wUBPuXI7/Z6vBi7rZtlY/j12myu4fgpwVxjbq8t6DuPfJ5rj9vjq0x8iEb6Ag4keGnoLWBp8HU30uNwzwS/w6d0PLmAhcGun5U8geoKmAvhmHHJVED0OuHvajcH8E4DHg8tTgl/2m8A7wIVxyPU74O1g+qOd/og7cgXXjyb6yqDKeOQKbrsTOKXL/PHaXnOAN4Jcywhe/RSs85Xg9/lApyeNzwE/6rT8hcG2igBHxSFXa7C+3dtw9/SOxz3wH8Hv+s3g+6I45Pp/wbqWAb/n368EitffY7e5gtv+Tpd/IuK1vbqs8zD+XQpxe3xpmAsREekwIM8piIjI/lEpiIhIB5WCiIh0UCmIiEgHlYKIiHRQKYjsgUVHa11hZqOC6yOD65O7mfdqi44su9e/KzM7xcy+3veJRT4cvSRVZC/M7HtAkbsvNrObgGp3/3mXeZKIvrlqPXCBuz8bQlSRD017CiJ7dxXwUTM7i+ib6n7ZzTyHEX2j3A1Ex80BwMx+bWYXBZePMLPnzCzJop9XcW4w/UyLfm7EW2Z2b6x/GJE9Sdn7LCKDm7u3mNl3iY4w+p/u3tLNbLsHUHsE+JmZpQbzXQC8ambPA9cQfVd2e3Q05A7nA4Xu3mQ9fMiSSLxoT0Gkd44iemhoVtcbgk/BOhr4k0dHcn2Z6GcB4O67gJOIDrF9rbtXdnPfbwF3m9lXiQ5LIRIa7SmI7EXwUZGfJvqJYf80sweBPwc330h0JMoRwNvBHkAm0AD8JZhnNrCF6PhM3fkMcAjwX8CFZjbb/z12vkhcqRRE9iD41KsbiH6ewyozu4LoiJ7zOs3zB+BEd78nuD4UWGFmmURH4zyH6NDKj5vZn/z9H36TBExy92fN7J/AcUAWUBenH1HkfXT4SGTPTgJWuftTwfXrgelmdihA8MR/JJ3G3nf3ncA/if7nfxvRz7peBywCbjWzjE73nwz83szeJjpq5zUeHd9fJBR6SaqIiHTQnoKIiHRQKYiISAeVgoiIdFApiIhIB5WCiIh0UCmIiEgHlYKIiHT4/1lwY2ttc7VaAAAAAElFTkSuQmCC\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Parabola\n", + "x = np.linspace(-10,10,20)\n", + "y = x**2 # Equn of Parabola y= x^2\n", + "plt.plot(x,y)\n", + "plt.xlabel('X-Axis')\n", + "plt.ylabel('Y-Axis')\n", + "plt.title('Parabolic Graph')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "id": "RqJ5WzuNEYP6", + "outputId": "43a4cf32-503a-4f3b-b880-997262ca2eec" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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" + ], + "image/png": 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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(x,y,'g.')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "Jh4roVdCGtkf", + "outputId": "7f5f76ff-7883-4d7b-d139-560b20381d5c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Multiple graphs in same plot\n", + "x = np.linspace(-5,5,50)\n", + "plt.plot(x,np.sin(x),'g-')\n", + "plt.plot(x,np.cos(x),'r--')\n", + "plt.savefig('SinCos.png') # To download the figure\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "2CiH0CPXG4AQ", + "outputId": "cfe5cdef-a219-49b4-a154-fd8245fa6dec" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Bar Plot" + ], + "metadata": { + "id": "goi2dRY9H3ly" + } + }, + { + "cell_type": "code", + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_axes([0,0,1,1]) # Area in which plot is defined coodinate(0,0) and lenght and height is 1\n", + "languages = ['English','French','Spanish','Latin','German']\n", + "people = [100,50,150,40,70]\n", + "ax.bar(languages,people)\n", + "plt.xlabel('Languages')\n", + "plt.ylabel('No of People')\n", + "plt.show()\n", + "plt.savefig('BarGraph.jpeg')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 367 + }, + "id": "oFKB_JClH5TB", + "outputId": "f930ce24-bdf9-4a9a-8d6d-6708f8b95c56" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Histograms" + ], + "metadata": { + "id": "bsjqayDhzUgT" + } + }, + { + "cell_type": "code", + "source": [ + "a = np.array([22,87,5,43,56,73,55,54,11,20,51,5,79,31,27])\n", + "plt.hist(a)\n", + "plt.title('Histogram')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 281 + }, + "id": "sd9ebVXbzXY8", + "outputId": "917fbb40-755a-4b28-8f23-930f6dfd0e4c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Box Plot\n", + "\n", + "It is used to plot percentiles" + ], + "metadata": { + "id": "NOVteAce1JlQ" + } + }, + { + "cell_type": "code", + "source": [ + "data = [np.random.normal(0, std, 100) for std in range(1,4)]\n", + "# Rectungular box plot\n", + "plt.boxplot(data, vert=True,patch_artist=True); # vert=True means vertical plot and vert=False means horizontal plot\n", + "plt.show() #Patch_artist=True gives colour" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 266 + }, + "id": "XVJttfyh1NI7", + "outputId": "13cb503f-ce95-4359-8fd1-edbd2652f1c6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "data" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9SNaSvJW186z", + "outputId": "e2136154-a608-46d4-fde8-ec1805053aa0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[array([-0.549632 , -0.89568736, -1.51740075, 0.06124211, 0.11575722,\n", + " 0.14272701, 1.79404797, 0.47749492, 0.36163287, 1.94095814,\n", + " -0.88347704, -0.61447485, 1.15587202, 0.82930649, 1.40028419,\n", + " -1.27535789, 0.97922106, 0.28945142, -0.51194373, 0.86874839,\n", + " -1.95685541, 0.10069888, -0.29096555, -0.36904877, -0.88393579,\n", + " 2.39904886, -0.78510951, -0.47787793, -1.95888003, -1.7759986 ,\n", + " 1.58533512, 1.14882139, 1.21162306, 0.3335587 , 0.4117975 ,\n", + " 0.19520013, -1.16241773, -1.23249515, -2.10979292, 1.10094122,\n", + " 0.50690071, 1.33058838, -1.10704638, 0.79782552, -0.53121379,\n", + " -0.15191895, 0.88155859, 2.15455966, -0.08758234, -0.2482907 ,\n", + " 0.59673984, 1.00300266, 0.08624747, 1.78002894, -0.68537896,\n", + " -1.33548366, 0.16936179, 1.65044944, 1.02707573, -1.54424907,\n", + " -0.03276242, -1.88286237, -0.13593019, 0.17873268, -0.01062903,\n", + " 2.46086343, -0.12486706, 0.4977548 , -1.17062723, -0.210924 ,\n", + " -0.78301599, -0.89711823, -0.40399765, 2.57617274, -0.94746784,\n", + " 0.19053429, 1.31770685, 0.4229892 , 1.17134795, -0.81662853,\n", + " 1.15739373, -0.28003753, -0.49726629, -2.29399281, -1.61705731,\n", + " 1.23670205, -0.9708677 , -0.84782819, -1.65169023, 0.2171765 ,\n", + " 0.31516612, -0.76341942, -0.33903113, -0.72787296, 0.53454941,\n", + " -0.48166884, -0.63007943, -1.36482064, -1.38610755, -0.06927755]),\n", + " array([-0.45987879, 1.16138769, 1.16659603, 0.05795138, -2.3096261 ,\n", + " -1.34998988, 2.86185551, 1.62435089, 0.17749887, 0.58587558,\n", + " 3.96765965, 1.78037302, -1.65188491, -4.41583148, -0.49751337,\n", + " -1.27439442, -0.88424967, 0.69734769, -1.26406066, 1.55977329,\n", + " 1.18179106, -0.66061455, 1.13197931, 1.47417753, 0.8907704 ,\n", + " -0.86412484, 1.54766032, -2.75207823, -0.06465966, -0.5317329 ,\n", + " 1.55910884, -0.13220706, 3.07040721, 1.90438549, 1.40998925,\n", + " 0.39161785, -1.89903551, -0.73187277, 2.14617766, -2.43988456,\n", + " -0.70250272, -0.41633132, 2.07389372, -0.7267551 , 3.8905756 ,\n", + " 0.74060174, -2.56454261, -2.28356559, 0.39483769, -1.50941124,\n", + " 1.53675361, -4.51227532, 1.15494224, 0.93439202, 0.91330911,\n", + " -0.84258732, 0.85336402, -3.6043402 , 2.18537906, -1.27920924,\n", + " -2.403633 , -0.05974665, 4.10315256, 1.04783579, -1.48704476,\n", + " 3.02977498, -1.96233926, 1.27114445, -0.99939213, -0.57103361,\n", + " 2.89494169, -2.30118822, 0.30344816, 3.74618381, 1.76457259,\n", + " -2.00537809, -0.46246284, 2.1541636 , -1.55910748, -4.07974856,\n", + " -1.16293275, -1.77955047, 0.32057528, -2.638999 , 0.5365132 ,\n", + " -1.28870432, -1.5641472 , -1.73214571, 0.11988115, -1.04564024,\n", + " -2.45157821, -5.18934774, 1.39061461, -2.74450032, 0.0176401 ,\n", + " -1.82104533, 2.09383449, 0.56935625, 3.16957914, -1.69719874]),\n", + " array([-2.85042845, -2.51986001, 1.16260296, -1.3548515 , 1.07941418,\n", + " 4.41145662, 0.11460121, 2.87983063, -4.95050719, -3.05454284,\n", + " -1.96028194, 3.94811282, 9.52334596, 3.58545322, 5.64640126,\n", + " -1.61758152, 0.32235112, -3.02699298, 0.95703047, -0.38431415,\n", + " -3.04888526, 2.3275444 , 2.14637294, -0.32901733, 3.62391443,\n", + " 6.63315619, 5.13316116, -3.31228372, -4.30706588, -0.83883396,\n", + " 1.13409376, -3.56879326, -1.26195907, -0.90532991, 0.2935327 ,\n", + " 1.26193677, -2.14192134, -3.91282168, 3.18306364, 3.0419118 ,\n", + " 2.0674823 , -2.47636051, -4.61583958, 0.23973827, -5.75801643,\n", + " -0.71576031, -3.85459416, -1.66592131, -4.9140376 , -2.26581349,\n", + " -0.57398341, -1.73345654, -5.46028428, -5.09272056, -0.45857382,\n", + " 0.38939822, 6.15066942, 0.39715826, -1.0360457 , -2.307384 ,\n", + " 0.4694015 , 1.35787295, 5.47984469, 2.10089352, 0.59139234,\n", + " -0.88097976, 0.55056785, 2.9936798 , -5.23769818, 0.27047238,\n", + " -0.62281921, 0.50691396, -0.32367306, 1.6555451 , 0.15501913,\n", + " 0.28576779, -3.42592862, 0.81221276, 3.2058876 , -1.59087734,\n", + " 0.65202584, 1.66028514, -3.30156897, 1.39069657, -0.5968571 ,\n", + " 1.47247157, 2.78236792, -0.08749004, 1.42375973, 0.63892549,\n", + " 0.94084013, -5.78332762, 3.87959597, -1.08858047, -1.30754247,\n", + " 3.89347906, -0.49700096, 0.59456745, 2.48827902, -0.47350425])]" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Pie Chart" + ], + "metadata": { + "id": "DeAcYESuKCSj" + } + }, + { + "cell_type": "code", + "source": [ + "fig1 = plt.figure()\n", + "ax = fig1.add_axes([0,0,1,1])\n", + "languages =['English','French','Hindi','Latin','German']\n", + "people = [100,50,150,40,70]\n", + "explode = (0.03,0,0.07,0,0) # Explode 1st slide\n", + "ax.pie(people, labels=languages, explode=explode, autopct='%1.1f%%',shadow=True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 319 + }, + "id": "8A-JvTx8KD0q", + "outputId": "d9e0a17f-998c-4e02-d37e-d58d2003a993" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Scatter Plot" + ], + "metadata": { + "id": "iz4omsYLKve1" + } + }, + { + "cell_type": "code", + "source": [ + "# Used in Clustring Applications\n", + "x = np.linspace(0,10,30)\n", + "y = np.sin(x)\n", + "z = np.cos(x)\n", + "fig2= plt.figure()\n", + "ax = fig2.add_axes([0,0,1,1])\n", + "ax.scatter(x,y,color='g')\n", + "ax.scatter(x,z,color='b')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 336 + }, + "id": "TdS-IHaWKwtJ", + "outputId": "e5a52447-79cc-43b8-db7c-3398df523957" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "3D Scatter Plot" + ], + "metadata": { + "id": "hVGj9Uz6MkH5" + } + }, + { + "cell_type": "code", + "source": [ + "fig3 = plt.figure()\n", + "ax = plt.axes(projection ='3d')\n", + "z = 20 * np.random.random(100)\n", + "x = np.sin(z)\n", + "y = np.cos(z)\n", + "ax.scatter(x,y,z,cmap='Blues')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "id": "7Cj5j2i3Ub-n", + "outputId": "8caaa943-d77b-4896-d0a8-345d0f3099d6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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"outputs": [], + "source": [ + "df= pd.DataFrame(np.arange(0,20).reshape(5,4), index=['Row1','Row2','Row3','Row4','Row5'], columns=['Column1','Column2','Column3','Column4'])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d99ccbfc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Bivarient Analysis\n", + "sns.jointplot(x='sepal_lenght',y='petal_lenght',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 720 + }, + "id": "IwUn2eIGLM2e", + "outputId": "397dbffe-a9a6-4891-ef61-a0f481b8c19a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "error", + "ename": "ValueError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#Bivarient Analysis\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjointplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'sepal_lenght'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'petal_lenght'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/usr/local/lib/python3.8/dist-packages/seaborn/_decorators.py\u001b[0m in \u001b[0;36minner_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 44\u001b[0m )\n\u001b[1;32m 45\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0marg\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0marg\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mparameters\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 46\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 47\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0minner_f\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 48\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.8/dist-packages/seaborn/axisgrid.py\u001b[0m in \u001b[0;36mjointplot\u001b[0;34m(x, y, data, kind, color, height, ratio, space, dropna, xlim, ylim, marginal_ticks, joint_kws, marginal_kws, hue, palette, hue_order, hue_norm, **kwargs)\u001b[0m\n\u001b[1;32m 2228\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2229\u001b[0m \u001b[0;31m# Initialize the JointGrid object\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2230\u001b[0;31m grid = JointGrid(\n\u001b[0m\u001b[1;32m 2231\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhue\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mhue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2232\u001b[0m \u001b[0mpalette\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mpalette\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhue_order\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mhue_order\u001b[0m\u001b[0;34m,\u001b[0m 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`{key}`\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 903\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 904\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 905\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: Could not interpret value `sepal_lenght` for parameter `x`" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "# Pair plot --> More than two features\n", + "sns.pairplot(df)\n", + "plt.savefig('Iris Pairplot')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 646 + }, + "id": "YWY6CqIyM5mZ", + "outputId": "43a35513-404e-444b-c4a3-941b24710ce8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Dist plot --> For one feature\n", + "sns.distplot(df['petal_width'])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 352 + }, + "id": "GFrzkFAlQJko", + "outputId": "2c36d028-244e-4012-82fd-b8dfc12e082b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.8/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 20 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "#count plot\n", + "sns.countplot(x='species',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 296 + }, + "id": "mlrUhfifQnhk", + "outputId": "1482ce88-3369-4dac-bca3-7ff92a29e9d1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 24 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Box plot\n", + "sns.boxplot('species','petal_length',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 296 + }, + "id": "JRNUFLeURmXk", + "outputId": "44284db6-566b-4c82-9d01-d95063fd9a15" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 29 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# violin Plot\n", + "sns.violinplot(x='species',y='sepal_length',data=df,palette='rainbow')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 296 + }, + "id": "ewSkKUU-S-Yw", + "outputId": "d631c68a-fe80-4251-e396-f1c3573fc78b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 33 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file diff --git a/Seaborn(Tips_Dataset).ipynb b/Seaborn(Tips_Dataset).ipynb new file mode 100644 index 0000000..7f7b8e9 --- /dev/null +++ b/Seaborn(Tips_Dataset).ipynb @@ -0,0 +1,1388 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "Distribution Plots\n", + "\n", + "For Contineous Plots that is for int or float data,there are three plots:\n", + "\n", + "* Displot\n", + "* Joinplot\n", + "* Pairplot\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "Kzg99d2VONzs" + } + }, + { + "cell_type": "code", + "source": [ + "# Let f1,f2,f3,f4 are four features of a dataset\n", + "# If we analyze f1 and f2 is called Bivarient Analysis --> Joinplot\n", + "# For more than two features --> Pairplot\n", + "# For one feature --> Distplot" + ], + "metadata": { + "id": "w-hE6jtNNqti" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "Z3OwzcYXIc-k" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df = sns.load_dataset(\"tips\") #load_dataset() is an inbuilt fn inside seaborn" + ], + "metadata": { + "id": "HiCv5sTBIezJ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# tips they give over the given bill and other related parameters\n", + "# Tip --> dependent Feature\n", + "# Total bill,sex,smoker,day,etc --> Independent Features\n", + "print(df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "istRQ1rEOz08", + "outputId": "a52287f7-9435-4ff8-de34-15dcbd68217a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " total_bill tip sex smoker day time size\n", + "0 16.99 1.01 Female No Sun Dinner 2\n", + "1 10.34 1.66 Male No Sun Dinner 3\n", + "2 21.01 3.50 Male No Sun Dinner 3\n", + "3 23.68 3.31 Male No Sun Dinner 2\n", + "4 24.59 3.61 Female No Sun Dinner 4\n", + ".. ... ... ... ... ... ... ...\n", + "239 29.03 5.92 Male No Sat Dinner 3\n", + "240 27.18 2.00 Female Yes Sat Dinner 2\n", + "241 22.67 2.00 Male Yes Sat Dinner 2\n", + "242 17.82 1.75 Male No Sat Dinner 2\n", + "243 18.78 3.00 Female No Thur Dinner 2\n", + "\n", + "[244 rows x 7 columns]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "df.head() # Returns first five rows" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 206 + }, + "id": "iGxtHY2KO0qU", + "outputId": "25acaa54-b2d5-4da5-b7a1-56300fc4171d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " total_bill tip sex smoker day time size\n", + "0 16.99 1.01 Female No Sun Dinner 2\n", + "1 10.34 1.66 Male No Sun Dinner 3\n", + "2 21.01 3.50 Male No Sun Dinner 3\n", + "3 23.68 3.31 Male No Sun Dinner 2\n", + "4 24.59 3.61 Female No Sun Dinner 4" + ], + "text/html": [ + "\n", + "
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total_billtipsize
total_bill1.0000000.6757340.598315
tip0.6757341.0000000.489299
size0.5983150.4892991.000000
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\n", + " " + ] + }, + "metadata": {}, + "execution_count": 7 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sns.heatmap(df.corr())" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 287 + }, + "id": "wVmsKr-8RVQr", + "outputId": "58abecb2-7ec8-4f52-9613-19c04f80f399" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Note:\n", + "\n", + "Heatmap is used in EDA when we do Feature selection, if there are two independent features and their corr is same or higher 0.9 or 1 , it is possible that we can use one feature instead of two." + ], + "metadata": { + "id": "Njf-i2HZYqMr" + } + }, + { + "cell_type": "markdown", + "source": [ + "##JoinPlot\n", + "\n", + "A join plot allows to study the relationship between 2 numeric variables. The central chart dsiplays that correlation. It is usually a scatterplot, a haxbin plot, a 2D histogram or a 2D density plot." + ], + "metadata": { + "id": "AzbjfG5IZCbp" + } + }, + { + "cell_type": "code", + "source": [ + "# Univariate Analysis or Bivarient Analysis --> have two Features\n", + "sns.jointplot(x='tip',y='total_bill',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "id": "QExgECJoaATO", + "outputId": "4e78d106-c91f-43df-c931-6ccf09ba9b98" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 48 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "sns.jointplot(x='tip',y='total_bill',data=df,kind='hex') #kind='hex' --> Gives hexagonal structure instead of point" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "id": "SL69K7MRbJL3", + "outputId": "37e27f91-0780-4d87-84aa-f6a2301aa0fd" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 49 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Kind= 'reg' it will draw a regression line based on probabilty density function\n", + "sns.jointplot(x='tip',y='total_bill',data=df,kind='reg') " + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "id": "Ym4aZJkUcW1L", + "outputId": "82c0b7bd-f8f3-4345-886b-9386bbba9f58" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 50 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##Pair Plot\n", + "\n", + "A 'pair plot' is also known as a scatterplot, in which one variable in the same data row is matched with another variable's value,like this: Pairs plot are just elaborations on this,showing all variables paired with all other variables" + ], + "metadata": { + "id": "bzSR9TOXecWQ" + } + }, + { + "cell_type": "code", + "source": [ + "#For more than two independent Features\n", + "# For pair plot feature needs to have a int value or floating value\n", + "sns.pairplot(df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 567 + }, + "id": "4nDBSF62e8zM", + "outputId": "87906404-aee7-4d8b-fd61-a490b9b3082a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 51 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Scatterplot based on Categorical Value i.e,'Sex', we use the fn hue. \n", + "sns.pairplot(df,hue='sex')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 567 + }, + "id": "sOn6YIb1fZa_", + "outputId": "bf066d65-9689-4f5f-f96e-b9acc35aba90" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 52 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "df['smoker'].value_counts()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "QV_xg5lnf9ql", + "outputId": "a84953fc-c6af-4898-ec13-c80d9676435e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "No 151\n", + "Yes 93\n", + "Name: smoker, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 53 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sns.pairplot(df,hue='smoker')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 567 + }, + "id": "2f38W58fhMwN", + "outputId": "8780b877-9056-487c-97ea-fb1c63e2f611" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 54 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##Dist Plot\n", + "\n", + "Dist plot helps us to check the distribution of the columns features" + ], + "metadata": { + "id": "f6qWKRhghhRT" + } + }, + { + "cell_type": "code", + "source": [ + "# For one feature\n", + "sns.distplot(df['tip'])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 351 + }, + "id": "WDF0clTVhqOT", + "outputId": "61f67ae4-d5a7-4e73-fa26-e2066dd816b6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.8/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 55 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "sns.distplot(df['tip'],kde=True,bins=10) #Kde=true --> Density is given in terms of percentage" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 351 + }, + "id": "z0gOmeUohu5-", + "outputId": "6ca18230-b715-4d3c-c61a-b27e965128a8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.8/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 56 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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+qt6uqj9S1b8geMtQ44GjTb3MzkuLyxFMocrz0khN9PP6YSsQxkynqd5y9DvO7UPPEpFkVR1S1SoXcpkpONrcE5cT5CbyibCoOIMtR5oJBBSfT7yOZMyMMNUmpr8Ls+3tSAYxF2ZkLMCJ1j4WxnEHdaglxZm09g5z4Ey311GMmTHOWyBEpERErgRSRWS1iFzhPK4n2Nx0XiKyXkQOi0iNiDwcZv/nROSgiOwVkVdFZE7IvvtE5KjzuO8iPltcO9XWz8iYzogrCPjd6q6vH272OIkxM8dkTUy3EuyYLgf+KWR7D/DX5ztRRPzAY8DNQB2wXUQ2qerBkMN2AVWq2i8ifwZ8FbhTRPKALwFVgAI7nHM7pvzJ4lxNc3DYZzzPgQiVkZzAyvJsthxp4S9uXOR1HGNmhPNeQajq91X1Q8CnVPVDIY/bVfW5Sd57DVCjqsdVdRh4Gtg44f1fU9V+5+VWgoUIgoXpZVVtd4rCy8D6C/xscW2mDHENdf3iQnbWdthwV2OmyWRNTPc6T+c6zUHveUzy3mXA6ZDXdc62c/kM8MsLOVdE7heRahGpbmmZWSNcjjT3Up6bSlrSVMcZxL7rlhQSUHijZmb9rI3xymSd1ONLhGYAmWEeEeEUoirgaxdynqo+rqpVqlpVWFgYqTgx4WjTzBjBFGpVRS7ZqYk23NWYaXLePz9V9dvO1y9fxHvXAxUhr8udbe8hIjcBXwCuU9WhkHOvn3Du6xeRIS6NjgU43trHBxfPrKLo9wnXLipgy5EWG+5qzDSY6kS5r4pIlogkOqONWkKan85lO7BIROaJSBJwF7BpwvuuBr4N3K6qocNTNgO3iEiuiOQCtzjbDHC6Y4Dh0cCM6n8Yd/2SIlp6hjjYYMNdjXHbVOdB3KKq3cBHCK7FtBD47+c7QVVHgYcI/mI/BDyjqgdE5FERud057GsEm6+eFZHdIrLJObcd+FuCRWY78KizzRBsXoL4vIvcZK5zrpq2HLFmJmPcNtUezvHjbgOeVdUukckv753Z1y9O2PZIyPObznPuE8ATU8w3o5y9zWgc3od6MoWZyawoy2LL4RYe/NBCr+MYE9emegXxcxF5F7gSeFVECgG7g4tHapp7mZWdQkbyzBnBFOr6xUXsqO2ga8CGuxrjpin9hlHVh0Xkq0CXqo6JSB8T5jSYyHlqW+1592873kZ6csKkx8Wr65YU8q+v1fBWTSsfvqzU6zjGxK0L+RN0KcH5EKHn/L8I5zGTCKjS3DPE2oL0yQ+OU6srcshKSeD1w81WIIxx0ZQKhIj8B7AA2A2MOZsVKxDTrrN/hNGAUpSV4nUUzyT4fVy7qJAtR1pQVabSH2aMuXBTvYKoAipVVd0MYybX3B3s+inOTPY4ibeuW1LIL/Y1cKihh8pZWV7HMSYuTbWTej9Q4mYQMzXNPcG5hIWZM/cKAoLrMgG8fsRWdzXGLVMtEAXAQRHZLCKbxh9uBjPhNfcMkpWSQGpSfN9FbjJFWSksn5XFa+9agTDGLVNtYvobN0OYqWvqHqJohl89jLtxWTH/+uujdPQNk5ue5HUcY+LOlK4gVHULwRnUic7z7cBOF3OZMAKqtPQMUZg1s/sfxt20rIiAwmt2EyFjXDHVtZj+M/BjgusmQXDp7RfcCmXC6xoYYXgsQNEM76Aet2JWNoWZybx6yAqEMW6Yah/Eg8A1QDeAqh4FitwKZcIbH8FkTUxBPp9w49IifnOkheHRgNdxjIk7Uy0QQ85d4QBwJsvZkNdp1tQdHMFUbE1MZ924rJieoVG2n7S1HI2JtKkWiC0i8tdAqojcDDwL/My9WCac5p5BMlMSZtRd5CZzzcJ8khJ8vHKoyesoxsSdqRaIh4EWYB/wpwRXaP2iW6FMeE3dQxRb89J7pCUlcM2CfF491IzN4zQmsqY6iilAsFP6z1X1Y6r6HZtVPb2CazANUmTNS+9zw7Jiatv7OdbS63UUY+LKeQuEBP2NiLQCh4HDzt3kHjnfeSbyOvtHGBlTimfwGkzncuPS4HiJV2w0kzERNdkVxF8RHL10larmqWoesBa4RkT+yvV05qwmW4PpnGblpLJ8Vha/OtDodRRj4spkBeKPgLtV9cT4BlU9DtwL/LGbwcx7nR3ialcQYW1YUcLO2k4au+w+VsZEymQFIlFVWyduVNUWINGdSCacpp4hslMTSUmc2Wswncv6FcG1JDfbVYQxETNZgRi+yH0AiMh6ETksIjUi8nCY/R8UkZ0iMioiH5uwb0xEdjuPGb8wYFP3oM1/OI+FRZksLMrgpf1WIIyJlMkG1F8uIt1htgtw3rYOEfEDjwE3A3XAdhHZpKoHQw6rBT4F/LcwbzGgqqsmyTcjjK/BtKAww+soUW3DihIee62Gtt4h8jOsmBpzqc57BaGqflXNCvPIVNXJmpjWADWqetyZhf00E+5jraonVXUvYOsknEd73zCjAbUriEncuryEgGKT5oyJkKlOlLsYZcDpkNd1zrapShGRahHZKiJ3hDtARO53jqluaWm5lKxRrcnWYJqS5bOyqMhL5ZfWzGRMRLhZIC7VHFWtAu4Bvi4iCyYeoKqPq2qVqlYVFhZOf8JpMr4Gk02SOz8RYcOKUt6qaaVrYMTrOMbEPDcLRD1QEfK63Nk2Japa73w9DrwOrI5kuFjS3DNIbloiyQk2gmkyty4vYWRM7U5zxkSAmwViO7BIROaJSBJwFzCl0Ugikisiyc7zAoKT9Q6e/6z41Wx3kZuy1RU5lGSl8PO9DV5HMSbmuVYgVHUUeAjYDBwCnlHVAyLyqIjcDiAiV4lIHfBx4NsicsA5fRlQLSJ7gNeAr0wY/TRjjAWUlt4h66CeIp9P+P3LS9lypJmOvklHYhtjzsPVdaNV9UWCK7+Gbnsk5Pl2gk1PE8/7LXCZm9liRVvvEGMBW4PpQtyxuozvvHGCX+xr4N51c7yOY0zMiuZOakNwBjXYEhsXorI0i8XFGTy/a8pdXsaYMKxARLnGrgF8gt2H+gKICB9dXc6OUx3UtvV7HceYmGUFIso1dA1SkJFMot9+VBdi46pZALyw264ijLlY9lsnyjV2DVKSbc1LF2pWTirr5ufx/K56u9OcMRfJCkQUGxgeo3NghNLsVK+jxKSPri7jRGsfe+q6vI5iTEyyAhHFGp0lNkqsg/qibLislKQEH8/vrPM6ijExyQpEFGvoGgCg1JqYLkpWSiK3Li/h+V31DI6MeR3HmJhjBSKKNXYNkpbkJzPF1ekqce2eNbPpHhy1mdXGXAQrEFGsoWuQ0uwURMTrKDFr3fw85hem89S2U15HMSbmWIGIUmMBpal70DqoL5GIcM+a2eys7eTgmXD3vjLGnIu1XUSptr4hRgNqHdQhntpWe9HnJvqFL76wn49d+b6VXc66Z+3si35/Y+KRXUFEqcYuZwSTdVBfsrSkBK6ck8ueuk56Bu0+EcZMlRWIKNXQNWhLbETQBxYUEAgoW4+3ex3FmJhhBSJKNXYNUpSZQoItsRERBRnJLC3NYuvxNoZsyKsxU2K/faJUQ9eANS9F2IeWFDIwMsbbx9u8jmJMTLACEYX6h0bpHhy1DuoIK89NY0lxJm/WtNpVhDFTYAUiCjU4S2zYDOrIu2FpEf3DY7xR0+p1FGOinhWIKHSm01liI8fmQERaRV4aK8qyeeNoC10DNqLJmPOxAhGF6joGyElNJCPZpqm4Yf3yEgIKLx9s9DqKMVHNCkQUqu8coCzXrh7ckpeexDULCthZ28mxll6v4xgTtVwtECKyXkQOi0iNiDwcZv8HRWSniIyKyMcm7LtPRI46j/vczBlNOvqGae8bptyal1x1w9Ii8tOTeH5XPcOjAa/jGBOVXCsQIuIHHgM2AJXA3SJSOeGwWuBTwFMTzs0DvgSsBdYAXxKRXLeyRpO99cGb25TlpnmcJL4lJfj46Ooy2vuG+cU+W+nVmHDcvIJYA9So6nFVHQaeBjaGHqCqJ1V1LzDxT7hbgZdVtV1VO4CXgfUuZo0a++o6ASizKwjXzS/M4LrFhWw/2c7u051exzEm6rhZIMqA0yGv65xtETtXRO4XkWoRqW5pabnooNFkT10XBRlJpCb5vY4yI9y0rJi5+Wk8v6uOXbUdXscxJqrEdCe1qj6uqlWqWlVYWOh1nIjYW9dJuTUvTRu/T7hn7RwyUxL5zPerOW6d1sac5WaBqAcqQl6XO9vcPjdmNXUP0tQ9ZM1L0ywjOYFPfWAuAtz5+FaONvV4HcmYqOBmgdgOLBKReSKSBNwFbJriuZuBW0Qk1+mcvsXZFtf2OO3g5TbEddoVZCTz9P3rAPjEt99mq63XZIx7BUJVR4GHCP5iPwQ8o6oHRORREbkdQESuEpE64OPAt0XkgHNuO/C3BIvMduBRZ1tc21vXhd8ndhc5jywqzuTZP72avPQk7v3uNn5gtyk1M5yrU3VV9UXgxQnbHgl5vp1g81G4c58AnnAzX7TZU9fJ4uJMkhJiumsops0tSOf5B6/hsz/cxRee38+hhm4e+chy+5mYGcn+1UcJVWVffRcry7K9jjLjZaUk8t37ruKB6xbw5NZaPvHtt8+uj2XMTGIFIkrUtvfT2T/CygorENHA7xMe3rCUf/vkFdQ09/KRf3mTN47Gx1BqY6bKVoOLEnvqgjOoLy/PYa/z3Eyvp7bVht1+/7Xz+cE7p/jjf3+HjavKWDMv74Lf+561sy81njHTzq4gosTOUx2kJPpYUpLpdRQzQUFmMn923UIWF2fywu56XjnUhKp6HcsY11mBiBI7TnWwqiKHRLsHdVRKSvBx77o5XDknl1+/28zzu+oJWJEwcc5+G0WBvqFRDjZ0UzXnwpsuzPTx+4Q/WF3Gh5YUUn2qw4qEiXvWBxEFdp/uZCygVM2dEQvWxjQR4ebKEkB47XAzqYl+PnxZqdexjHGFFYgoUH2yAxG4Yo4ViFhx07IiBkfGeLOmlbz0JNbNz/c6kjERZ01MUaD6VDtLijPJSkn0OoqZIhHhtpWlLCnO5Od7z9gifyYuWYHw2OhYgF21nda8FIN8Itx1VQV56cn8aPtpegZHvI5kTERZgfDYvvoueodGrYkiRiUn+rl7TQUDI2M8W11nndYmrliB8NjbzqqhViBiV2l2Kr9/+SxqWnp5/bDNtjbxwwqEx94+1sbi4gwKMpK9jmIuQdWcXFZV5PDqoSZOtvZ5HceYiLAC4aHh0QDVJzu42q4eYp6IsPHyWeSkJfKTnXUMj068zboxsccKhIf21HUyMDLG1QsKvI5iIiA50c8fXlFOW98wmw82eh3HmEtmBcJDv61pQwTWzbcZ1PFifmEGV8/P5+1jbRxvtaGvJrZZgfDQb462sLIsm5y0JK+jmAi6dXkJ+elJ/GRHHUOjY17HMeaiWYHwSFf/CLtqO7hucaHXUUyEJSX4+MMryunsH+Gl/dbUZGKXFQiPvFnTSkDhuiVWIOLR3IJ0rllYwLYT7dQ0W1OTiU1WIDyy5UgzWSkJXF6e43UU45KbK4spyEjiuZ11dNssaxODXC0QIrJeRA6LSI2IPBxmf7KI/MjZv01E5jrb54rIgIjsdh7fcjPndFNVthxp4dpFhSTY/R/iVqLfx8evrKBrYIS//dlBr+MYc8Fc++0kIn7gMWADUAncLSKVEw77DNChqguBfwb+IWTfMVVd5TwecCunFw6c6aape8ial2aAirw0rltcyLM76nj5YJPXcYy5IG7++boGqFHV46o6DDwNbJxwzEbg+87zHwM3ioi4mCkqbD7QiE/gpmXFXkcx0+CGZUUsK83i88/tpa13yOs4xkyZmwWiDDgd8rrO2Rb2GFUdBbqA8WnF80Rkl4hsEZFrw30DEblfRKpFpLqlJXbWwPnVgSaumptHXroNb50JEnw+/vnOy+keGOWvn99n97M2MSNaG8AbgNmquhr4HPCUiGRNPEhVH1fVKlWtKiyMjeaak619HG7q4dblJV5HMdNoaUkW/+3WxWw+0MT3f3vS6zjGTImbBaIeqAh5Xe5sC3uMiCQA2UCbqg6pahuAqu4AjgGLXcw6bTYfCI6Lv7nSmpdmmj/5vfncuLSIv3/xELtqO7yOY8yk3CwQ24FFIjJPRJKAu4BNE47ZBNznPP8Y8CrNx0cAAA1TSURBVGtVVREpdDq5EZH5wCLguItZp83P9p5hZXk2FXlpXkcx08znE/7xE5dTnJXCgz/YSUffsNeRjDkv1wqE06fwELAZOAQ8o6oHRORREbndOezfgXwRqSHYlDQ+FPaDwF4R2U2w8/oBVW13K+t0qWnuZX99NxtXTeyKMTNFTloS3/zkFbT2DvNffrSbsYD1R5joleDmm6vqi8CLE7Y9EvJ8EPh4mPN+AvzEzWxe+OnuenwCv7+y1OsoxkMry3P40u2VfOH5/Xz5Zwf48u3LmQGD90wMcrVAmN9RVX66+wwfWFBAUVaK13GMxz65dg4nW/v4zhsnKMlO4c+vX+h1JGPexwrENNl2op3a9n4+e+Mir6OYKPH5Dcto6h7iqy8dJjXRz6evmed1JGPewwrENPnBtlqyUhK4zZqXjGO803p4NMCXf3aQ/uEx/vz6BdbcZKJGtM6DiCutvUO8tL+BP7yynJREv9dxTBRJ9Pv4l3tW89HVZXxt82G++MJ+u12piRp2BTENnq2uY2RM+eTa2V5HMVEo0e/jHz8eHP76rS3HONzYw9fvWkV5rg2FNt6yKwiXDY2O8b3fnuDq+fksLMr0Oo6JUj6f8PCGpfyfu1fzbmMPG77+Bj98p5aADYM1HrIC4bIXdtXT1D3En12/wOsoJgbcfvksfvnZa6mclcXnn9vHHd98i9febbb1m4wnrEC4aCygfHvLcZbPyuLaRQVexzExoiIvjafvX8fX71xFW+8wn/7edj78f95k054z1j9hppX1QbjohV31HG/t47F7rrCRKeaCiAh3rC7jtpWl/HT3Gb75eg1/+cNd5KQl8pGVpXx0dTmrK3Lw+ezflXGPFQiXDI6M8Y+/OszK8mw2rLCVW83FSfT7+NiV5Xx0dRm/OdLCc7vqeba6jie31lKancKty0u4dXkJV83NtbsTmoizAuGS//vWSc50DfK/P3G5/ZVneGpbbUTe5+r5+ayuyOFgQzcHznTz5NZTfO+3J8lLT+LmZcWsX1HCBxbmk5xgw6nNpbMC4YLatn6+8eoRblpWzAcWWN+DiayURD9XzM7litm5DI2OUZyVwkv7G/nFvgZ+VH2ajOQEblhaxPoVJVy3uJD0ZPtvbi6O/cuJMFXl88/vJcHn42/vWO51HBPnkhP8dPaPsG5+PlVzcjnW0suBM928cqiJTXvOkOATFhVnsnxWFpWlWRc8UfMem7szo1mBiLDvvnGCt2ra+Ls7VlCanep1HDODJPh9LCnJYklJFhsDyqm2Pg6c6ebAmS4ONXST4BMqZ2WxuiKXhUUZ+K3p00zCCkQEbTvexldeepf1y0ts1rTxlN8nzC/MYH5hBretLKWuY4DdpzvYc7qLvXVdZCYncHlFDqtn59gfMuacrEBEyJGmHv70yR3MyUvjax9facNaTdTwiTA7L43ZeWl8+LJSjjT2sLO2k7ePtfFmTSul2Smsrsjh8oocMlMSvY5roogViAioae7h3u9uI8nv43ufXmP/yUzUSvD5qJyVTeWsbPqHRtlT38Wu2g5e3N/ISwcaWViUweqKXBYXZ5KaZCOhZjorEJforZpWHnhyB8kJfp76z2uZnW8LrJnYkJacwNXz87l6fj7NPYPsru1k1+lOflR9Gp/A7Lw0OvqHqZqTy8ryHCsYM5AViIs0ODLGP79yhMd/c5yFhRk88amrqMiz4mBiU1FmCrcsL+GmymJOt/dzuKmHI009fG3zYSDYp7GsNJPVFblcVp7N4uJMFhZlkGFDaOOa/XQv0ODIGC/squcbrx6loWuQe9bO5gsfXmZjzU1c8IkwJz+dOfnp3FJZwvoVJew+3cHOU53sOt3Bczvr+I+tp84ePys7hYXFmczNT6MiN42KvDQq8lKpyEsjaxqaWlWVvuExugZG6BsaZWQswFhAGQ0oYwFlZCxAIAA+CS5fIhL8jOOvfWdfh+zzTTzmd8dJyPE+CY4cy0pJiNtZ7K7+VhOR9cA3AD/wXVX9yoT9ycD/A64E2oA7VfWks+/zwGeAMeAvVXWzm1nPZ2B4jB2nOvjVwUZ+vreB9r5hVpZn8893rmLd/HyvYhnjupf2NwIwKyeVWTmpbFhRSnvfMM3dQzT3DNLcM0RNUw/vnGhjcOS9CwmmJvrJTk0kMyWBzJQEMpITyUhJIDnBR1KC7+xXH0IARRUCqgQCyuBIgIGRMQZHxn73dXjs7PbxbYMjY0TDiuhZKQnkpieRm5ZEfnoShZnJZx8FGc5z52ss/THpWlIR8QOPATcDdcB2EdmkqgdDDvsM0KGqC0XkLuAfgDtFpBK4C1gOzAJeEZHFqjoW6ZyBgNLSO0Rn/wgd/cN09g/T2T9CY/cgNc291DT3cqyll5ExJSXRxw1Li7h33Ryunp9vI5XMjOMToSAj+Euvkqz37BsYHqO9f5j2vmE6+obp6B+me3CUnsERmnuG6B0cZewili1P8AmpiX5SEv2kJvnJSE6gICOJ1CRnm/NITvTjP3sVIGevBoTg/1NVRQFVUKcgnfP5+PHn2H/VvDwCqoyMBugcGKGzfyT4ufuHaegaZF99F629Q2GLV1qS/z1FoyAzicKMFAozk8lLTyQ1KYG0JP97PnNKgo8Enw+/X/CL4PcJCT5xfRkfN0vZGqBGVY8DiMjTwEYgtEBsBP7Gef5j4F8l+Ft3I/C0qg4BJ0Skxnm/tyMdsrV3iLX/69X3bReBitw0FhZlcP2SItbOz2PtvDzSkmKn+hsznVKT/JQlpVKWE35ehWrwymBodIzh0QDDYwGGRgMEVM823/id5pvkBN/ZApAYhc03d6+ZfJ7TWEDp6B+mpWeIlp4hWnuHzj5vcZ4fb+1l24khOvpHLjpLgk9YPTuHZx/4wEW/xznfO+Lv+DtlwOmQ13XA2nMdo6qjItIF5Dvbt044t2ziNxCR+4H7nZe9InI4MtGDTgJvvH9zAdAaye/joXj6LGCfJ9rFzef5ZJR9lmOA/NlFnz7nXDti+s9hVX0ceHw6v6eIVKtq1XR+T7fE02cB+zzRLp4+Tzx9lvNx89qtHqgIeV3ubAt7jIgkANkEO6uncq4xxhgXuVkgtgOLRGSeiCQR7HTeNOGYTcB9zvOPAb/W4M13NwF3iUiyiMwDFgHvuJjVGGPMBK41MTl9Cg8BmwkOc31CVQ+IyKNAtapuAv4d+A+nE7qdYBHBOe4Zgh3ao8CDboxgukjT2qTlsnj6LGCfJ9rF0+eJp89yTqIXMezMGGNM/Iu+8WPGGGOighUIY4wxYVmBmCIRWS8ih0WkRkQe9jrPpRCRChF5TUQOisgBEfms15kulYj4RWSXiPzc6yyXSkRyROTHIvKuiBwSkau9znQpROSvnH9n+0XkhyKS4nWmCyEiT4hIs4jsD9mWJyIvi8hR52uulxndYgViCkKWDdkAVAJ3O8uBxKpR4L+qaiWwDngwxj8PwGeBQ16HiJBvAC+p6lLgcmL4c4lIGfCXQJWqriA4YOUub1NdsO8B6ydsexh4VVUXAa86r+OOFYipObtsiKoOA+PLhsQkVW1Q1Z3O8x6Cv4DeN1M9VohIOXAb8F2vs1wqEckGPkhwhB+qOqyqnd6mumQJQKoz1ykNOONxnguiqr8hOMoy1Ebg+87z7wN3TGuoaWIFYmrCLRsSs79QQ4nIXGA1sM3bJJfk68D/AAKTHRgD5gEtwP91msy+KyLpXoe6WKpaD/xvoBZoALpU9VfepoqIYlVtcJ43AsVehnGLFYgZTEQygJ8A/0VVu73OczFE5CNAs6ru8DpLhCQAVwD/pqqrgT5iuPnCaZvfSLDwzQLSReReb1NFljO5Ny7nC1iBmJq4W/pDRBIJFocfqOpzXue5BNcAt4vISYJNfzeIyJPeRrokdUCdqo5f0f2YYMGIVTcBJ1S1RVVHgOeAyC87Ov2aRKQUwPna7HEeV1iBmJqpLBsSM5wl1f8dOKSq/+R1nkuhqp9X1XJVnUvw5/JrVY3Zv1BVtRE4LSJLnE038t4l8mNNLbBORNKcf3c3EsOd7iFClwm6D/iph1lcE9OruU6Xcy0b4nGsS3EN8EfAPhHZ7Wz7a1V90cNM5nf+AviB88fIceDTHue5aKq6TUR+DOwkOHpuFzG2TIWI/BC4HigQkTrgS8BXgGdE5DPAKeAT3iV0jy21YYwxJixrYjLGGBOWFQhjjDFhWYEwxhgTlhUIY4wxYVmBMMYYE5YVCGMiyFmJ9c+d57OcIZ7GxCQb5mpMBDlrW/3cWbnUmJhmVxDGRNZXgAUisltEnh2/h4CIfEpEfioirzv3EPiSxzmNmZTNpDYmsh4GVqjqqvGriZB9a4AVQD+wXUR+oarV0x/RmKmxKwhjps/LqtqmqgMEF637Pa8DGXM+ViCMmT4TO/ysA9BENSsQxkRWD5B5jn03O/cyTiV4B7K3pi+WMRfO+iCMiSBVbRORt5zO6YnLWr9D8B4c5cCT1v9gop0VCGMiTFXvOceuOlWNy3sXm/hkTUzGGGPCsolyxhhjwrIrCGOMMWFZgTDGGBOWFQhjjDFhWYEwxhgTlhUIY4wxYf1/xckUyNFZY7sAAAAASUVORK5CYII=\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "sns.distplot(df['tip'],kde=False,bins=10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 351 + }, + "id": "rF2Ie3VPjgN0", + "outputId": "8389545c-019e-45e5-9f97-1660e61b6536" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.8/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 57 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##Categorical Plots\n", + "\n", + "Seaborn also helps us in doing the analysis on categorical Data points.\n", + "\n", + "* boxplot\n", + "\n", + "* violinplot\n", + "* countplot\n", + "\n", + "\n", + "* bar plot\n", + "\n" + ], + "metadata": { + "id": "j5c7RyBmk_y2" + } + }, + { + "cell_type": "code", + "source": [ + "# Count plot\n", + "sns.countplot(x='sex',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 296 + }, + "id": "BLwP_NQ0lZVy", + "outputId": "39d00b9d-dadb-41a7-e948-33fd0ab94e48" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 64 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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k26zY+l2k9iTZB3gZ8EdVdV2SVXSnbT6lqk5J8kzgRLZ+eun96M6d/13gM8Cjq+rEJC8EHucageaBawTS8g4C3r/0Rl1V1wMHAu/ql59Gd2qRrbmwqq6uqlvpTpWwdgZZpTvFIpDuvJvpX0tJ7gZMfi3ljRO3b8G1cM0hi0Ba3nrgqUl2g+67foHP0p21FeAo4NP97W8Cj+xvHwbsOMXP/xlwz+0VVroz/OtEWkZVXZHkH4FPJbkF+ALwXLpvTTuO7hvUntHf/W3AWUkuAc6h+yKdrVkHnJPku1X1uO3/L5Cm5+6jktQ4Nw1JUuMsAklqnEUgSY2zCCSpcRaBJDXOIpCkxlkEktS4/wePKlkY5bltmwAAAABJRU5ErkJggg==\n" 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kVoZFktTKsEiSWv0vp80Q3gJVpikAAAAASUVORK5CYII=\n" 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+ }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Box plot --> A box plot and whisker plot is a graph that presents information from a five-number summary.\n", + "sns.boxplot('smoker','total_bill', data=df)\n", + "# Five vertical line represents 0 %tile, 25 %tile,50,75 nad 100 %tile" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 351 + }, + "id": "ik8U-5HHEpN1", + "outputId": "1a2ec059-9a22-4459-ab5c-c10f7322c15a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.8/dist-packages/seaborn/_decorators.py:36: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", + " warnings.warn(\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 76 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" 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\n" 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qPa3+/n6lNJtr2eKRokuYsYjRn3PeUvvrSUrzL6i83tN1FeDVdPLJJxddAjBrfX19uv/h+6UlRVcyA9nv3/v33l9sHZV6Nr9d1VWAp/QbOmUtLS06PLxP/9T+XNGlzFs39p6iRS0t1dn5EmlkdXp/laSi4d785o4wCwUAElVXPXDUzi+fW6Abe08puoyK7D842o9JaSz8l88t0FlV2G9/f790QGr4dkJ9u7Fz5amc1x2W+iOf8xcEOHKX2iXpL2QnwRa1riy4ksqdper8nJcsWaJDhw7lvt9qGqv35JMSOQ910ujPOQ+u5Ye/tLe3R29vb82OB1SinucRzwf18PrZ3h4R7ccuT+jvJADAePTAkYxqzVEem0e8cmV1hlBSm8dfLSm+fnPltZusB84YOOoec/jTVs+v36x64LYvkvRZjZ7//UJE3DTV9vTAAWDmch8Dt71A0ucldUo6W9J7bZ994iUCAGZiNicxV0nqi4hHI+IFSV+TdEk+ZQEApjObAD9d0uPj2v3ZsglsX2W713bvwMDALA4HABiv6tMII+K2iGiPiPbm5uZqHw4A6sZsAnyvpFeMa7dkywAANTCbAP+xpJW2X2n7JEnvkbQxn7IAANM54XngETFs+0OS7tLoNMIvRcTDuVUGAJjSrC7kiYgtkrbkVAsAYAZqeim97QFJv6jZAWuvSdJg0UXghPDapW2+v35nRsSLZoHUNMDnO9u9x7taCnMfr13a6vX149MIASBRBDgAJIoAz9dtRReAE8Zrl7a6fP0YAweARNEDB4BEEeAAkCgCHHXF9hLbH8wer7D9zaJrwszZ/gL3H6jjAB//Rp5im1bb76tgX622H5pi/Qdsf26Sdf997D5sr7a9ebrj4oQskfRBSYqIJyLi8oLrwQmIiCsjYlfRdRStbgNc497IU2iVNG2Az0ZE/HE1948XuUnSq2zvsP2f435pfsD2Hbbvtb3H9g0F14mM7Zfa/o7tB2w/ZPvd2evUbntd9lrusP1T2z/PnvM629+1vd32XbZPK/rfUQ31HODj38ifzr4esv2g7XeP2+ZPsm0+kvWSv2/7J9nXTML3FccLB9vP5fmPwrSul/SziDhf0t8ds26VpHdKOlfSu2zX3ZV9c9RFkp6IiPMi4hxJd46tiIiNEXF+9no+IOmfbTdKukXS5RHxOklfkvTJIgqvtnq+K/31ks6JiPNtv1PSX0s6T6OfqfBj29/LtvnbiLhYkmwvltQREYdtr5T0VUmVvslXSTpH0sFs/9+JCO7wPLf0RMQBSbL9LUlvlsRrVLwHJf2L7ZslbY6I79uesIHtj0o6FBGft32ORt9rPdl2CyTtq3HNNVHPAT7emyV9NSKOSNpv+7uS/kjSr47ZrlHS52yfL+mIpLNmcAzCYe479qIILpKYAyJit+3XSnqHpBtt3z1+ve23S3qXpAvGFkl6OCLeWNtKa6+eh1BOxEck7ddoT71d0kkzeC7hMDf8WtLLJlnXYftU2ydLulTSD2tXFiZje4WkgxHxFUmflvTacevOlPR5Se+KiEPZ4p9Karb9xmybRtt/UOOya6KeA3z8G/n7kt5te4HtZo3+Jr9PL36z/66kfRExIun9Gv3TrFKEwxyQ/RX0w+zk5aePWX2fpNsl7ZR0O0Ncc8YfSrrP9g5JN0i6cdy6D0haKunb2bmqLRHxgqTLJd1s+wFJOyTNy8kCdTuEEhEHbI+9kbs1+qZ9QKM9449GxJO2D0g6kv0n+LKkf5d0u+2/1OiJlOdncMixcGiR9BXCoTgRMdnMov6IuLSmxWBaEXGXRu/8Nd7q7HuvpPXHec4O/XZIZd7is1AAjU4jlNQeER8quhagUgQ4ACSqbodQqsH2n0q6+ZjFP4+Iy4qoB8D8Rg8cABJVz7NQACBpBDgAJIoAB4BEEeAAkKj/B2f3qbot/GMEAAAAAElFTkSuQmCC\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Categorize data based on some other categories\n", + "\n", + "sns.boxplot(x='total_bill',y='day', hue='smoker',data=df)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 297 + }, + "id": "lNWTj3S_Itjf", + "outputId": "2dbe2297-023f-41c8-c72e-1816054a34f4" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 81 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "#Violin Plot --> Violin plot helps us to see both the distribution of data in terms of kernal density estimation and the box plot\n", + "sns.violinplot(x='total_bill',y='day',data=df,palette='rainbow')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 297 + }, + "id": "B0fNFmErJJAZ", + "outputId": "1f514c20-2f85-4505-bd7e-d23e8476fd16" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 84 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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