From 3bfedbd2e868a241a86096babaf32e9eb697fcfc Mon Sep 17 00:00:00 2001 From: Bhavishya Pandit <50860603+bhav09@users.noreply.github.com> Date: Sun, 16 Aug 2020 19:09:05 +0530 Subject: [PATCH] Add files via upload --- Matplotlib/Matplotlib_Cheatsheet.ipynb | 971 +++++++++++++++++++++++++ 1 file changed, 971 insertions(+) create mode 100644 Matplotlib/Matplotlib_Cheatsheet.ipynb diff --git a/Matplotlib/Matplotlib_Cheatsheet.ipynb b/Matplotlib/Matplotlib_Cheatsheet.ipynb new file mode 100644 index 0000000..fabfc70 --- /dev/null +++ b/Matplotlib/Matplotlib_Cheatsheet.ipynb @@ -0,0 +1,971 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Matplotlib_Cheatsheet", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Gy6bHbnFD5am", + "colab_type": "text" + }, + "source": [ + "# Matplotlib Cheat Sheet (Basic Plots)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "poMYmc-1IGZT", + "colab_type": "text" + }, + "source": [ + "Link to documentation : https://matplotlib.org/3.2.1/contents.html" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u2VeBJTTvFly", + "colab_type": "text" + }, + "source": [ + "Overview\n", + "\n", + "1. Line Plot\n", + "2. Scatter Plot\n", + "3. Bar Graph\n", + "4. Horizontal Bar Graph\n", + "5. Histogram\n", + "6. Piechart\n", + "7. Subplot\n", + "8. WireFrame\n", + "9. Surface Plot\n", + "10. Contour Plot" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "LN9KWGPFS0i1", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import matplotlib.pyplot as plt #plt is an alias\n", + "import numpy as np #sames for np\n", + "import random" + ], + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DIpTVfi-GP0-", + "colab_type": "text" + }, + "source": [ + "1. Line Plot" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "5UBVAuIsS1o-", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "66fbb57c-0a1b-4319-89b6-0b8c7814edd0" + }, + "source": [ + "x=[random.randint(10,40) for i in range(20)] #list comprehension \n", + "y=[i for i in range(20)]\n", + "#print(x)\n", + "#print(y)\n", + "plt.title('Line Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.plot(y,x,color='red',label='Red',alpha=0.9) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='lower right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() #compiles all of the above\n", + "#aplha = 0.9 is the transparency of the graph. 0 is transparent and 1 is opaque" + ], + "execution_count": 101, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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UW/r3f4/erlLGp3L2lYZowt83mZqspyPMxusxp3KCCX8wLKUzXoIKP7Bj7lx4+9vhRz8Kd7Ctv9FXKqfHhL9vspVrSKa6OrzvW0wN1pMx4Q+C74Fpwh8Pra2atjlhQrD1b75ZY9hf+1qkZpUsvlqkCX9h5Cr8W7fqWFSheI8/4gbryZjwB0HEirXFSUuLevtB2y1WVcEXvwiPPw5//GO0tpUi27drnDhTRo+nokLz/fcf0fDOgOx1epLxGThheP0xp3KCCX9wTPjjo69Uzkx8/ONwwglwww3heGH9iWypnB6fy28pnenx5yXInab3zsMY4I05lRNM+INTW6v14ffuLbYlA598hH/oULjlFt32Rz+Kxq5SJVfht3BPetrbYfx4/S5lI8zyzDGncoIJf3D8AK+fWm1Ew+7dmlaXLV6djjPPhPe+F+64o7wm3AUdDDfh75sgk7c8EyZon4hCQz2dnbFW5fSY8AfF+u/GQw4ZPWm54QYYORK+8pVwi2iVMs3NKkSZSgl7rEJn3wSp0+MR0TusQj1+HyqyUE+J4m/FLM4fLYUKf0WFTuh6+ml4+OHw7Cpl+irHnIzF+PsmSJ2eZHyVzkIoQionmPAHZ+RILQdswh8thQo/wP/9v1BXp+0ay6HxSFDhHzVKu0dZqCc9uYR6QOP8LS2F9YH2oeMYUznBhD83rA1j9LS26uBauvaBQRk8WFs0btsGt94anm25cvAgQ7dvj/wYtLYGGxMR0fNqwn8kzuUW6gEV6+7uwirErl8feyonmPDnxqxZKvzlEjsuBi0temeVrn1gLsydC5dfDnffrYW3isEjj1B/5ZWweXN0x9i2TesUBR0Mr6iwGH86du3S1pS5CH8iLj+ikP9vETJ6wIQ/N2prdRTefjjRsXFjYWGeZC68UG/Di5WJtWoVcuBAtG0ig6Zyemz2bnpyqdPjSZzzEVu25H/cIuTwgwl/bljNnuhpbVWPPwzCnGSTD/64L7wQ3TFyFf7Jk03405FLuQbP1KkwZEj+wl+kVE4w4c8NE/5o6eqCLVvC8/hLRfhffDG6Y3jhD3rOpkxRkbNw5eHkI/xDhsC0afkLv08FHUgev4iMEJHnRWS5iLwkIl9PLD9WRJ4TkTUi8nMRGRaVDaEzdapmRZjwR4Pvd5DP5K10jBqlQhdmp6Rc8MdduTK6+jgtLVpEcMSIYOtXVGgsu1jjHqWKH6DNJdQDUF3N8HyF34cgB5jHvx+40DlXB8wFLhGRs4DvAT90zs0CtgMfj9CGcBk0SAdiTPijIYxUzlSqq4vj8Xd0wM6d7DrxRO3stGpVNMcJUpUzGZu9m558PH6Ampr8B3djbrCeTGTC75TOxNuhiYcDLgQWJJbfC7wrKhsiwfrvRsdAEv7EMbedd56+jyrOHzSH32PCn562Np2rM3JkbtvNmMGQ3bvzu4PyqZyjRuW+bYEMiXLnIjIYWArMAm4H1gIdzrkDiVVagbQjeSIyH5gPUFlZyaJFi/KyobOzM+9t0zEdOGbNGp77059wQwo/fWHbFzZx2jd98WKmdXfz7Kuv4vyMxixks29aTw/Tm5p49vHHcUGKb4XE5D//meO7utgyYwbHjB9P5yOP8OoJJ4R6DOnp4cz169k4dy4tAf9Ho5qaqOvq4tWFC2nbt8++fwlmLV/OuGHDeDHHY03auZPjnWPJggXs9mOAAZm9ZAlu7FheKsb5d85F/gAmAAuBc4E1ScunA6uybV9fX+/yZeHChXlvm5YFC5yrqnLu1VdD2V3o9oVMrPZ99rPOnX56Tptkte8Xv9D/15o1+duVD7fd5lxVlVv86KPOffrTOf9dgWhu1r/tvvuCb7N1q25z993OOfv+HeLyy51761tz3+6ll9y+yZOde+ih3LedM8e5a6/NfbscAF5waTQ1lqwe51xHQvjPBiaIiHeVpwEb47AhNKz/bnTkU445Gz5+GvcA74YNMGUKB0eOhPp62LRJH2GSayonaDN2EQv1pJJruQaPP/e5Vun084GKMHkLos3qmSIiExKvRwIXA6vRC8C7E6tdATwUlQ2RYCmd0RGF8PuUzrj78SbH3uvr9Xnp0nCP0dKiz7kM7g4ZouJvwn84+Qr/mDF0jxuXu2NRhAbryUTp8VcBC0VkBbAEeNw59whwHXCtiKwBJgN3RmhD+IwbpymCJvzh0tOjHnHYwj9lig7YFcPj93cbs2fDsGHhC39zs2aaTZ2a23Y2e/dI8hV+YN/RR+fuWPiMniIJf2SDu865FcBpaZavA86I6rixYG0Yw2fLFs0vDyuH3yOiXn+cwt/VpXMSvPAPHQpz5kTj8VdVBesYlYwVajucvXv1kWsOf4L9lZW5f7+KmMoJNnM3P0z4wyeKVE7PjBnxhnpaW3VmbHLsfd48WLFCc/rDItdUTs/kyVZvKplcmqynYV9lpV7oc/nfFjGVE0z486O2Vr8sHR3FtmTgEKXw+4YZcZUpSDcV//TT9U4gzIlc+Qp/RYU1Y0km38lbCfZVVvaWxw5Kkapyekz488EGeMPH/2jCKtCWTHU17NunBbHiwE8YS/X4Ibxwz/79Gh7LJzRWUaENarq6wrGlvxOG8ENu4R4T/n6I9d8Nn9ZW/eHlOnMyCHEXa2tq0to5Rx3Vu+zoozUeH5bwb0xkQecr/GBevyffOj0J9h19tL4I+v0qcionmPDnx/TpOqBmHn94tLREE+aB3pBLXMK/YYNebEQOXz5vXnjCn08Ov8d3N7MBXqVAj797wgQYPjz496vIqZxgwp8fQ4boD9uEPzyiyOH3TJumIhyX8Dc3p++hWl+vf2chjTuSjwH5x/jBBng9bW36mx43Lr/tBw3KrSZUkRqsJ2PCny/Wfzc8nAu381Yqw4ZprnscKZ3OqQCkS9PzE7nCqM/f3Kx3nT6+nAveszWPX2lr0zBP6h1aLuQi/P57GHOD9WRM+PNl1iwdoOnpKbYl/Z+2Nh18jUr4Ib4qndu2aU54uh/1qaeqWIcR7vGdyvLpTWwVOg+nvT3v+P4h/PcrSOZYkVM5wYQ/f2prNW83lxQuIz3+HIY9eSuZuITfHyOd8A8bpuIfhvDnm8oJMHq0Dj7b4K5SwKzdQ9TUwJ49wS6mRc7oARP+/LGUzvCIMoffU1OjP8rdu6M7BvQt/KDhnuXLC5/IVYjwi6jXbzF+JQzh9/+LIM6FCX8/xoQ/POIQ/riKtTU1qbBmunupr9ew1urV+R9j924NT+Qr/GD1epIJy+OH7MK/a5decIs4sAsm/PkzaRKMH2/CHwatrTB2bP5ZFUGIK5d/wwYdSB6WoZV0GJU686nKmYoJv+L7Dxca458+XS/42RII/PevSDV6PCb8+SKiA7wm/IUTZQ6/xwt/1Jk9TU19Z2tMnaoDe4W0YjThD4/t2/W5UOEfPlwn6WW7oyyBVE4w4S+M2lqbvRsGUebweyZM0DuKqD3+bMIvol5/ISmdheTwe3y9nrjqF5UqBU7eOoyamuyORQmkcoIJf2HU1upknM7O7OsamYkyhz+ZqDN79uzR+G22H3V9vdqRr8fd3KylLQoRq4oK6O5mcNSD3aVOmMI/Y0b271cJpHJCAOEXkfeIyNjE6xtE5Fcicnr0pvUD/O1awMbgRhp27tRHFMXZUgnikRVC0PhtoRO5Wlp6Y8r5ksjlH7pjR/77GAgUWKfnMGpqtBDg3r2Z11m3ruhhHgjm8X/NObdLRM4FLkI7Zv1HtGb1E3xmjwl//hRSbCxXqqs1rBTVpLugIZg5c7REQL5x/kJSOT0m/EqYHn+QBILkzmxFJIjw+1/JPwD/5Zz7HZAhZaHMOPZY9bpsgDd/4kjl9FRXaxbHa69Fs/90dfjTMWIEnHJKfh6/c70efyEkCrWZ8CeEf+LEwveVLWW4RFI5IZjwbxSR/wTeBzwqIsMDbjfwGT5cf4A2wJs/cQs/RBfnb2rSAeQJE7KvW18Pf/2rXohyYccOFZBCPf6Ehzus3IW/vV3TsnNtX5kOf8HPFE7037siT96CYAL+XuAPwFudcx3AJOBLkVrVn7A2jIXR2qoXUF8/JkriEP6g2Rrz5mks+JVXcjtGGKmccCimPWTnzsL209/xBdrCYMIEnY+S6fvlQ8KlLPwi4mfTjAAWAW0iMgnYDxSQhDzAqK3Vf2i5p8Xliy82VshAZVCmTlXPLqoB3lzit6cn8iNyncgVRion6BjDxIkW6mlvDye+D/od7itzzDdYL3IqJ/Tt8f9v4nkpKvRLkx4m/J7aWk3j27y52Jb0T+KYvOUZPFiPFUXZhp4evYgFFeTp0zXOXizhB5gyxYQ/jHINyVRXZ3YsNmwoiVRO6EP4nXNvSzwf65ybmXj2j+KPTpQKVrOnMOKYvJVMXz/MQti0SQuvBfX4RdTrz1X4W1p0HCGM8hYVFQzr6Ch8P/2ZMD1+0O9XS0v6zLESSeWEYHn8H095P1hEborOpH6G9d/Nn337dBJTnMJfUxNNjD+fGZnz5untv88lD0Jzc3iprxUV5e3xOxdOLf5kqqvVAUgXAdiwoSTi+xBscPfNIvKoiFSJyGzgWWBsto1EZLqILBSRl0XkJRG5JrH8ZhHZKCLLEo/LCvwbiou/dTOPP3d8Dn+cwj9jhk4YC9vT9SGYXITfx/lzSetsaQknzAMweXJ5C/+uXSrSYXr8map0+lTO/iL8zrkPAvcCK4HfAZ9zzn0xwL4PAF9wzp0MnAVcJSInJz77oXNubuLxaJ62lwYi1oYxX+JowJJKVI3XN2zQAdOpU4NvU1en4w5Bwz0+hz8s4a+oYPCePYX3BuivhDl5y5Mpc6wEGqwnEyTUcxxwDfAg0AR8SESyjk445zY5515MvN4FrAZimJdfBHxmj5Ebcebwe6JK6Wxu1r9j8ODg24waBSefHFz4t23T8FhYwp+YxFW2nbh8iC1M4Z86VR2A1HEkn9FTIsI/JMA6vwWucs49ISICXAssAU4JehARqQFOA54DzgGuFpEPo9lBX3DObU+zzXxgPkBlZSWLFi0KerjD6OzszHvboEwTYfratTz7xz/iMtVhz0Ac9hVClPZNb2zkmAMHeO6VV3B//3te+8jVvkF793JmVxfNjz/OxhDr/8958UW6x45ldYot2ew7tqKCKYsX8/wTT2S9aIz52984tauLV9rb2R7C/2TSa69xvHMsefRRdpfIoGMqUX7/Ji5ZwoldXaxYu5bdBaQTp9p42rhx7P7LX3g1adkxf/wjM7q6eK65mYNbthRgdUg45/p8AOPSLDs+23ZJ645BU0D/KfG+EhiM3m18G7gr2z7q6+tdvixcuDDvbQPz6187V1Xl3OrVOW8ai30FEKl9V1/t3BveUNAu8rJvzhznrr22oOMewYknOnf99UcszmrfggX63Xn55ezH8N+zV17Jz8ZUlixx+yZPdu7JJ8PZXwRE+v373//V89nSUtBujrDxfe9z7pJLDl92zTXOnXZaQcfJB+AFl0ZTg8T4d4rIbBF5r4h8OOGpnxXkoiIiQ9EQ0X3OuV8l9rfFOdfjnDsI/AQ4I5cLVUliKZ35EWcOfzJByufmwo4d+shnYk4uHbn8AHKIWT1A+TZkiSLGD+kzx0qgz24yQWL8NwE/TjzeBPwL8I4A2wlayXO1c+4HScurklb7R2BVjjaXHv422YQ/N+LO4feEndIZtDhbOqqrNZ0wqPBXVIQ3Aajchb+9XfsajBwZ7n5nzNCsseRyGP1N+IF3A28GNjvnPgrUAeMDbHcO8CHgwpTUzX8RkZUisgK9kHw+T9tLh9Gjte2aCX9wfK5zMYS/ulordHZ1hbM/fxHJx+P3HbmCCn9YA7sAo0dzcOjQ8hX+MOv0JJOaObZrl57jEhL+IIO7e51zB0XkQKJ+z1Yg672mc+5pIN2ISf9O38zEAO2/K1HVrt+8GQ4eLJ7wO6d3HGEMavofeL6iXF8Pjz+uXmJflT1bW7WWf1iI0D1+PCPLWfjDDvPA4VU6Tz215FI5IZjH/4KITEDj8UuBF4G/RGpVf8T33x1Ixdr+7d+onz8f9u8Pf9/FyOH3hN14valJwyajR+e3vY/z//Wvmdfp6dEJb2F6/ED3+PHl7fFHIfz+f+QdghJL5YRgE7g+45zrcM7dAVwMXJEI+RjJ1Ec/F1oAACAASURBVNZqTG+g5ESvXQs//KHO7Hz++fD3X4wcfk/Yufy5lGNOx9y5MGhQ3+GezZs1PGbCHx5hl2vwjBmjF5RU4S+BzluenBqqOOc2OOdWRGVMv2Yg9d91Dr7yFRg5EjdkCCxeHP4xvPDnMtM1LI46SrtglYrwjx4NJ57YdyvGMKtyJlHWwh+Vxw+Hl2dev17HAMMeRC4A66QVFgMppfO3v4WnnoLrrmPX8cdDY2P4x2htVQEePjz8fWfD100PI9TT3a0DxYV6c74j18GD6T8PqwFLCoeEfyCFKIOwb5+WU49L+EtsglxfjVgeTcy4NYIwbRoMG9b/hX/XLrjpJpg9Gz78YTrmzIFVq8IPYRUrldNTXR1OXf6WFhXrQptr1Nfruc80g7mlRS9Yx4Rb9aR73Di9eO3aFep+S56ocvg91dU6JtPdrcJfQmEe6Nvjvxv4o4h8NTERy+iLwYN18Ka/l2f+/vdh61a45RYYPJgddXW6/Kmnwj1OsSZvebxHVqinW0gqZzJ+gDdTpc7mZg0X5FgSJBvd4xOZ2eUW7vF1eqKI8YN+Hw4e1Naar7/efzx+59wvgdOBcWhmzxdF5Fr/iM3C/kR/77+7ejXceSdcfvmhksGdM2dqM+ow4/wHD6o3VEzhr6nRnrfbthW2n3zq8Kdj5kxN5cwU5w87hz9Bt08fLTfhj9rj9x6+r9fTjzx+gC5gNzAcrcGf/DBSqa1VD7A/lrk9eBCuv15F/stf7l0+eDCce67G+cOKA2/bpuco5LBFToSV2dPcrAPFRx1V2H78RK5MHn9LSySpr4c8/kIvgP2NOEI90Cv8JZTKCX3H+C8BlgGjgNOdczc5577uH7FZ2J+orYUDB3oH4voTv/wlLFkCN9wAEyce/llDg7YWDOtuppg5/J6whH/DBt1XGM3iTz8dXn318Kn+oBfJTZui8fh9hVLz+MPFJy4sWaLv+5HH/1XgPc65651ze+IyqF/TXzN7Ojrgm9/UVoDvfe+Rnzc06HNY2T3F6LyVyvTpKtaFCn+hqZzJzJund1WpE7k2btTlEVwoD5Sr8Le3693s2IiCF4MG6YX6wIGSS+WEvmP85znnXorTmH5Pf+2/e8stWl3ye9/TL2wq1dX6CCvOX8zJW55hw6CqqrCUTufCFf65c/VilDqRK6IcfkDnaUycOHAmHgbF1+lJ930PC+/ll9jALlgef7iMH6+3jv1pEteyZfCzn8HHPgYnnZR5vfPPh2eeCWf8orVVz9WYMYXvqxAKrdK5bZsOEId1Gz92LJxwwpHCH1EO/yEqKsrP449y8pbHOwQlFuYBE/7w6U/9d3t6dED3qKPgi1naKDc0wO7duTUGz0Sxc/g9hdblj8ITP/10PcfJE7mam7WdX1VV5u0KoaKiPAd34xJ+8/jLgDBTOu++G971rt5aH2Hzs5/BihVw883ZY53nnqu3xWHE+Yudw++pqVHB25PnEFYhdfgzMW+eht2S7xqbmzUDKpd+vrlQqh7/mjWcet11Oq8kbKKq05OMF/4Sy+gBE/7wmTVLxSQ1MyNXFi7UDJslS+DSS8Mvm7Btm8b2zz0X3pG1rw6MG6cx6ELt8OWQS0X4IX+vv6lJY/JhhmDSdeSKKJXzEKUq/L/5DWPWroU//zn8fcfh8Tc0wHXXwZveFO1x8sCEP2zCyOxZtw6uvFJj7k8+qd7e5Zfr5Kqwcum/9S2NT3/3u8FTERsaNOOkkIvajh0aMioF4fchmnxLNzQ1afglzNm0tbV6kY1b+HfsKL35Jz6ZYPnycPd74IBmskUt/MOGwTXX6DyPEsOEP2wKFf5du+AjH9GY7t1362DfQw/BRRfB176msfhCf6DPPqt5+1de2WtvEBoaNPZciAdWChk9nuSGGfmwYUP4A3eDBmmc3wu/n10cQUbPIXwLxlLK7Nm5UxMPIHzh375dn6MO9ZQwJvxhU12tsdh8hP/gQbj6ao3p/9d/9Xp5Y8aot3/NNXD//fCe9+R/a97drTNzp03T/eVCfb2WEC4k3FMKk7c848erd51vqCeiMgrU12uNl87O3oyeOIS/lMI9zzwDPT3sqa6GlSs1ESEsfJ2eqD3+EsaEP2yGDtUfaT7Cf+ut2oLvG9+AN77x8M8GDdJ44R13qAd06aXwUh7TLH76U/jb3zTUk+ukkqFD1a5C8vlLyeP35ZnzEf49e3TQMYpUvfp6DektWxZpDv8hSlH4Gxth1Cg2XXqpnuswM+X8nY15/Eao5NN/95FH4N/+DT7wAQ31ZOId79DQT0+Pvv7d74IfY9Mmrb558cXwlrfkZp+noUFDHPnGxVtb9YKTWhaiWNTU5Bfq8X9/WJO3kjntNH1eurTX44/yQjllij6XkvAvXgxnn639IECzz8Ii6nIN/QAT/iiordUB2kxNNVJZvVrDLvX1wQZb58yBxx6Dk0+GT35SxTzIsW66Sdf75jeD2ZWOQss3+IyeMGrbhMGMGWpTrqGEsMoxp2P8eDjuuF7hHz688CJwfeEFsFRy+VtaNNx5/vnsPeYYdRTCjPOb8JvwR8LMmdqg/LXXsq46ZOdO9fDHjdMwTNAMkaOOggULNN7//e/Dpz/ddz76okV6V3HNNYWFDWbN0toj+Qp/qeTwe2pqeoug5UIUOfzJ+AHepqbeukJRMWaMfu9KZXDXf7caGnS87NRTwxV+H+MvlbvOImDCHwVBM3u6uzn+Bz+ALVvgrrugsjK34wwfruGhG2+ERx+Fd76ztwBaMvv3aw/dmTM1k6cQRLR8w1NP5TfgVio5/J58q3Q2N+vF2pc1Dpt58zT75C9/iTa+D/o/LaVc/sZG/S0cd5y+r6vTLnAHDoSz/7Y2/d8NLd/+Uib8URBU+L/xDcavWgX/+q+9cd1cEVFv/7//W8Xokkt6S8F6br9dPdTvfjecnPOGBs37Xrkyt+327FExGwjCH2Y55nT4iVwdHdELP2icvxSEv6dHnYrzz+89t3V12iM3U1vKXIlj8laJE5nwi8h0EVkoIi+LyEsick1i+SQReVxE/p54Hnj3W1OmaAmEvoT/5z+HO+9k09vepuGaQrnwQh3oHTcO3v1ueOABXb5hA9x2mw4En3de4ceB3v3kmt1TShk9nqoqnTOR6wBvmFU503Hccb1F7OI4X6Xi8a9apRc7P5YEKvwQ3gBve7sJf4T7PgB8wTl3MnAWcJWInAxcDzzhnDsOeCLxfmAhol5/pvLMS5fCP/8znHceTR/6UHjHnTVLQz5nnw3XXquDuTfcoLe0N98c3nEqKuCUU3KP85dSDr9nyBAV1lyylHp6dKwiSuEfPLj3LjAOj79UCrX571Syk3LssXoRDCvO70sylzGRCb9zbpNz7sXE613AauAY4J3AvYnV7gXeFZUNRSVTsbYtW+ATn1BP8447cGEX3ho/Hv7nf/QYP/mJlnz40pd0QDZMzj9f+8Pu3h18m1L0+CH3lM7Nm3VAOErhh95wTxzCP3myevxhlQTJl8ZGzVbzKaagc1hOPdU8/hAZEsdBRKQGOA14Dqh0zvkUis1A2hFNEZkPzAeorKxkke9dmSOdnZ15b1sI05xj+oYNPPfYYxxM1OqQri5m33QTo7ZuZeV3vsOe5cujs+/CC5kiwrjVq1lXW4sL+fyNHzuWk3fvZvUdd9DhBSoLMxobmXrwIM++/LLOTA2BMM7fsSJUrF7NkoD7GbdyJad0dfHy9u3syLJNIfaNmDaN6WecwZotW/L+/2XD2ze1vZ3q3bt5/tFH6Rk9OpJjZWPQvn2c8dRTbLrsMpoSf6+3r3rcOKp+/3ue+9OftHlMvjjHWZs28dqOHTSHdE6LpTEF4ZyL9AGMAZYC/5R435Hy+fZs+6ivr3f5snDhwry3LYiHH3auqsq5Vav0/cGDzn3uc7rsd78rvn0ByWjf3r3OVVc7d+ONwXd25ZXOnXVWGGYdIpTz9x//of+Xjo5g6993n67f3Jx11X7z/12wQP+mdeuKZ8wTT6gNixYdWnTIvt/85vDfU77s2KH7ueOOwvaTRCn/j4EXXBpNjTSrR0SGAg8C9znnfpVYvEVEqhKfVwERFNsuAXwbRh/uuesuHdC99lq47LLi2RUWI0bAmWfmFucvtVROT66ZPU1N0TZGKQa+bEMx4/yNjZp1duaZR37mB3gLjfP7HH6L8UeDiAhwJ7DaOfeDpI8eBq5IvL4CeCgqG4qKb76wdi08/bQOrr71rSr8A4Xzz9e6P1u2BFu/1CZveXKt0tnUpH9HISGHUqMU6vU0NsIZZ6QvY1xdrRlrhQq/zdoFos3qOQf4EHChiCxLPC4DbgEuFpG/Axcl3g88RozQOvpPPQWf+pQO9t52W7TNnePm/PP1OUhaZ3e3FjUrReH3WUa5ePxRD+zGTbGFf8sWHffx36lURLRUiQl/KESZ1fO0c06cc3Occ3MTj0edc23OuTc7545zzl3knGuPyoaiU1urte97euCee7K3N+xvnHSS/oCChHs2btSMkVIU/jFjVPiCCn8UdfiLjQ99FEv4n3pKn5Pz91Opq9O6Vl1d+R/HhB+wmbvRcuKJ6uHfccfAEwrQv+288/RHmy0N0KdyHnNM9HblQ9DyzDt26GOgefxDh8KECcWr19PYqBefU07JvM6cOXrnuHp1/sexGD9gwh8t11yjhdEuuKDYlkTH+efrgGC29ExfQ6iUJm8lE1T4o6zKWWyKNYnLORX+887rOxQaxgzetjYNw44alf8+BgAm/FEycaI2KB/I+FvzbHH+1laN006dGr1N+VBTo9VUs7W1jLoqZzEpVtmGV17R8Z9M8X3P9Ol6V1JInN/q9AAm/EahVFVp6mq2OH9rq1ZcLNWKiDNmaK8CH5LKhC/tUKp3LoVQLOFPLsPcFyLq9Rci/DZrFzDhN8Lg/PO1fPD+/ZnXKdUcfk/QlM4NG1QgfQG1gUSxKnQ2NmoiRJC7wbo6TSHety+/Y1mdHsCE3wiDhgYV/dRy0MmUag6/x8fsswl/c/PAjO+DesIdHdnDXWHS1aVOQzZv31NXp3X5X345v+NZqAcw4TfC4OyzdTJTpjh/T4/Gz0tZ+I86Sgf9slXp9HX4ByI+l789xgzrJUvUew+aAFHoDF4TfsCE3wiDMWO0kmSmOP/WreqllbLwi6ig9+Xxd3frBWwgDuxCcSZxLV6sTsPZZwdbv6pKhTufzJ59+7QZkAm/Cb8REg0N2kQjnbdYquWYU5kxo2+Pv7VVB4DjKJNcDHwp5DiFv7FR+wsHHTPxA7z5CL/l8B/ChN8Ih4YGzcd++ukjPyvFBizpqKnRPP1Mk9EGcionxO/xb9+u7TuDxvc9foB3797ctrNZu4cw4TfCoa5Oi2ili/OX+qxdT3W1hgIyCd9AnrwFvYIY1yQuP+M7W/5+KnV1euf10ku5bWfCfwgTfiMchgyBc89V4U/1mFtb9fa61GdLZivP3NSkA8BHHRWfTXEydqzOs4jL429sVGfBD9gGJd8BXh/qMeE34TdCpKFBBz/XrTt8eann8Huy5fL7qpwicVkULyIa54+jXo8v0/DGN+Ze3rqyUh+5Cr//uyzGb8JvhIiP1aZm9/QX4Z8+XcWvL49/oA7seuKavbthg34vcg3zePIp0dzWpk3sx43L75gDCBN+IzxqalQYk+P8zpX+5C3PsGGaLphO+J3T5QN1YNcTV6E236O2EOFfswY6O4Nv42ftDqSeGHliZ8AIl4YGeOaZ3tmf7e2aP90fhB8yV+l8/XUd+B2oA7ueuDz+xka9w8r3fNbV6cU4lwHe9nYL8yQw4TfCpaFBvbBly/R9f8nh92QS/oGe0ePxwp+tv0IhHDigzkFDQ/7jJXPm6HMu4R6btXsIE34jXM49V2+lfbinvwl/TY3ONE7NES8n4e/qyi2EkivLlsGuXbnn7ydz1FEaljPhzwsTfiNcJkzQ2/BU4S/1yVueTCmdGzaod1oOg7sQbbhn8WI9l+eeW9h+ci3RbMJ/CBN+I3waGtSr27lThX/MmP6TSZFJ+Jub1cMcNix+m+IkDuFvbFTRnjixsP3U1Wnq8M6d2dc9cEBbZlqMHzDhN6KgoUErcj7zTG8qZ3/Jfe/L4x/oYR6IXvh37oQXXywszOPxE7lWrsy+bkeHjluYxw+Y8BtRMG+eztJtbOw/OfyeCRP07iRV+P3krYFO1IXa/vIXdQrCEP5cBnitXMNhmPAb4TN0qJbZXby4/+Twe3wcP1n49+7VAd9yEH4fColK+BsbYeRIdQ4KZdIk/W4FqdRps3YPw4TfiIaGBli/Xm/t+5Pwg2b2JJdt8BeBgT55C/SiPX58dMK/eLE6BWGNlQQt0Wx1eg4jMuEXkbtEZKuIrEpadrOIbBSRZYnHZVEd3ygyyTMy+5vwV1frnUpPj773NfrLweOH6CZxbdyog7FhhHk8dXV6kd6xo+/1zOM/jCg9/nuAS9Is/6Fzbm7i8WiExzeKyXHHaSEtKP1yzKlUV+vM482b9b33/k34C8PXcMq3TEM6/ABvNq/fhP8wIhN+51wjEGPzTqOkEOn9gfeXHH5PapXOpiYd8J0woVgWxcuUKdEI/+LF6gwcf3x4+ww6wNvWpv/DoUPDO3Y/Jsd6qKFwtYh8GHgB+IJzbnu6lURkPjAfoLKykkW+qFOOdHZ25r1tHAxk+0bX1VGxYwdNL70EL78crmEJojh/w7ds4fSuLtY+9hhbu7s56fnnGTp2LCsyNZOP2b4wSWffsbt3U9HUxJIw7T54kDc89hjb6+tZk8N5DHL+Tps0id2PPcars2dnXOe4VasYM2QIf43gf1Hq/+O0OOciewA1wKqk95XAYPRO49vAXUH2U19f7/Jl4cKFeW8bB2ZfYURiX3e3c9OnO/ed7+j7c85x7pOfzGtX/fL83Xqrc1VVznV1hXeg5ct1nwsW5LRZoPP3qU8594Y39L3Oe97j3NveltOxg1LK/2PgBZdGU2PN6nHObXHO9TjnDgI/Ac6I8/iGEYghQ3RAuqlJB3hbWgZ+qYZk/CSu9hAjtT6+f9554e3TM2eOzhfpy14r13AYsQq/iFQlvf1HYFWmdQ2jqPgqnZs360BvOaRyevwkrjA7cTU2wkknRdO2MsgAb3u7CX8SUaZz3g/8BThBRFpF5OPAv4jIShFZAbwJ+HxUxzeMgqipUeEvpxx+T9hlG/buheeeCzeNM5lTT9XnTAO8zlkt/hQiG9x1zn0gzeI7ozqeYYTKjBla38V7keUY6gmrE9dzz+ldU5hpnMmMGwczZ2YW/l279Pjm8R/CZu4aRjq8h9/YqDH/qVOLak6shO3xL16saZRnnhnO/tLRV4lmm7V7BCb8hpEOP1nr2Wd1oHdIMTKfi8TYsSrUYQl/Y6OK/siR4ewvHXV1sGmT1lRKxQq0HYEJv2Gkw4d29u0rnxm7HpHwZu9u3QqrV0cX3/f4iVzpBni9x28x/kOY8BtGOsaM6Q15lNPArics4X/qKX2OWvhnz9YLVrpwj3n8R2DCbxiZ8J5+OQ3sesIS/sZG7bTVx6zaUBgzBmbNSu/xm/AfgQm/YWTCC795/PnhnAr/eefBoBikJlOJ5rY2GDFCmwMZgAm/YWTGC3+5xfiht1CbllrJj+XLYcuW6NI4U6mr0+Nt2XL4csvhPwITfsPIxIUXatOQ2tpiWxI/kyfD/v2we3d+2//5z/DBD2pF0ze/OVzbMuFn8KbG+a1cwxGY8BtGJurr4cEHYfjwYlsSP4Xk8t97L3zgA3rX8Oij0ZRpSMcpp2hIyYQ/Kyb8hmEcST7C390N118PX/4yXHABPPJIvOMjI0dqrX8T/qyY8BuGcSS+UFtQ4W9vVy//v/8bPvMZuPtunQgWN34Gb/LYhMX4j8CE3zCMI8nF43/lFbjsMnjhBfjxj+GGG2Dw4Gjty8ScOerhb9qk7/04hXn8h2HCbxjGkXihzFao7Q9/gLe/XQX2V7+C//N/oretL1IHeC2HPy0m/IZhHMnQoVr1MpPH7xzcdht87GM6cer3v4fTT4/XxnScfLLWVTLh75MyqjxlGEZOVFSkb8aybx9cey385jfwj/8I3/++TpAqBUaMgBNO6BX+lDo93d3dtLa2sm/fvtAOOX78eFavXh3a/vJhxIgRTJs2jaEBm8mb8BuGkR4/iSuZTZvgox+FlSvhK1+Bq67SGjmlRF2dppE6d4TH39raytixY6mpqUFCsnvXrl2MLcZAdgLnHG1tbbS2tnLssccG2sZCPYZhpKei4vAY/9KlcOmlsHYt3HMPXH116Yk+6ABvR4f2Sk4R/n379jF58uTQRL8UEBEmT56c012MCb9hGOlJrtezYIEO3I4cqfn5F19cXNv6InmAt61NM4zGjTv08UASfU+uf5MJv2EY6amogO3b4RvfgM9+FubN0xDKCScU27K+OekkHZxevlxj/BMnxlMkrh9hZ8MwjPT4XP477oCPfATuv19FtNQZNkzFf8WKkpy1O3jwYObOncvs2bN5+9vfTkdHR07bjxkzpmAbTPgNw0jP8cdrnaJbboHvfEe96P6CL9H8+uslJ/wjR45k2bJlrFq1ikmTJnH77bfHboNl9RiGkZ6zz4ZXX+1fgu+pq4Of/QxWrYKLLkq/zo03wksvFXyoEQcO9PZkPuUUDY0F5Oyzz2ZFoofA2rVrueqqq9i2bRujRo3iJz/5CSeeeCLr16/ngx/8IJ2dnbzzne8s2F4wj98wjL7oj6IPvQO8e/eWbJ2enp4ennjiCd7xjncAMH/+fH784x+zdOlSbr31Vj7zmc8AcM0113DllVeycuVKqqqqQjm2efyGYQw8jj9eY/1dXZlDPTl45n2xb9cuhuaQx793717mzp3Lxo0bOemkk7j44ovp7OzkmWee4T3vec+h9fbv3w/An//8Zx588EEAPvShD3HdddcVbHNkHr+I3CUiW0VkVdKySSLyuIj8PfHcD0aKDMPodwwdqmEXKNkYf1NTE845br/9dg4ePMiECRNYtmzZoUfybOCwU1CjDPXcA1ySsux64Ann3HHAE4n3hmEY4ePDPSUa6hk1ahS33XYb3//+9xk1ahTHHnssv/zlLwGdjbs8UXbinHPO4YEHHgDgvvvuC+XYkQm/c64RaE9Z/E7g3sTre4F3RXV8wzDKHC/8JebxJ3PaaacxZ84c7r//fu677z7uvPNO6urqOOWUU3jooYcA+NGPfsTtt9/OqaeeysaNG0M5rrhCmiln27lIDfCIc2524n2Hc25C4rUA2/37NNvOB+YDVFZW1vsrXq50dnaGkvcaFWZfYZh9hTGQ7Ru8ezfTFiyg5QMf4OCwYYAWVJs1a1aYJtLT08PgYvUfSGLNmjXs2LHjsGVvetObljrn5h2xsnMusgdQA6xKet+R8vn2IPupr693+bJw4cK8t40Ds68wzL7CKDf7Xn755VD355xzO3fuDH2f+ZDubwNecGk0Ne50zi0iUgWQeN4a8/ENwzDKnriF/2HgisTrK4CHYj6+YRhljoswvF0scv2bokznvB/4C3CCiLSKyMeBW4CLReTvwEWJ94ZhGLEwYsQI2traBpT4u0Q9/hE5NMOJbAKXc+4DGT56c1THNAzD6Itp06bR2trKtmy9hHNg3759OYluFPgOXEGxmbuGYZQNQ4cODdylKiiLFi3itNNOC3WfUWO1egzDMMoME37DMIwyw4TfMAyjzIh05m5YiMg2oCnPzSuA10M0J2zMvsIw+wrD7CucUrax2jk3JXVhvxD+QhCRF1y6KcslgtlXGGZfYZh9hdMfbEzFQj2GYRhlhgm/YRhGmVEOwv9fxTYgC2ZfYZh9hWH2FU5/sPEwBnyM3zAMwziccvD4DcMwjCRM+A3DMMqMASP8InKJiPxNRNaIyBG9fEVkuIj8PPH5c4nuYHHZNl1EForIyyLykohck2adC0Rkh4gsSzxujMu+xPE3iMjKxLFfSPO5iMhtifO3QkROj9G2E5LOyzIR2Skin0tZJ9bzJyJ3ichWEVmVtGySiDwuIn9PPE/MsO0ViXX+LiJXpFsnIvv+VUReSfz/fi0imbrf9fldiNC+m0VkY9L/8LIM2/b5W4/Qvp8n2bZBRJZl2Dby81cw6bqz9LcHMBhYC8wEhgHLgZNT1vkMcEfi9fuBn8doXxVweuL1WODVNPZdgLapLNY53ABU9PH5ZcDvAQHOAp4r4v96MzoxpWjnD2gATufwDnP/AlyfeH098L00200C1iWeJyZeT4zJvrcAQxKvv5fOviDfhQjtuxn4YoD/f5+/9ajsS/n8+8CNxTp/hT4Gisd/BrDGObfOOdcFPIA2dk8mudH7AuDNib6/keOc2+ScezHxehewGjgmjmOHyDuB/3bKs8AE300tZt4MrHXO5TuTOxScc41Ae8ri5O/YvcC70mz6VuBx51y7c2478DhwSRz2Oef+6Jw7kHj7LBC8jm/IZDh/QQjyWy+YvuxL6MZ7gfvDPm5cDBThPwZoSXrfypHCemidxJd/BzA5FuuSSISYTgOeS/Px2SKyXER+LyKnxGoYOOCPIrI00eg+lSDnOA7eT+YfXDHPH0Clc25T4vVmoDLNOqVyHj+G3sGlI9t3IUquToSi7soQKiuF83cesMU59/cMnxfz/AVioAh/v0BExgAPAp9zzu1M+fhFNHxRB/wY+E3M5p3rnDsduBS4SkQaYj5+VkRkGPAO4JdpPi72+TsMp/f8JZkrLSJfBQ4A92VYpVjfhf8AaoG5wCY0nFKKfIC+vf2S/y0NFOHfCExPej8tsSztOiIyBBgPtMVinR5zKCr69znnfpX6uXNup3OuM/H6UWCoiFTEZZ9zbmPieSvwa/SWOpkg5zhqLgVedM5tSf2g2OcvwRYf/ko8b02zTlHPo4h8BHgbcHni4nQEAb4LkeCc2+Kc63HOHQR+kuG4xT5/Q4B/An6eaZ1inb9cGCjCvwQ4TkSOTXiF70cbuyeT3Oj9Egb9+gAAAy5JREFU3cCTmb74YZOICd4JrHbO/SDDOkf7MQcROQP938RyYRKR0SIy1r9GBwFXpaz2MPDhRHbPWcCOpLBGXGT0tIp5/pJI/o5dATyUZp0/AG8RkYmJUMZbEssiR0QuAf4ZeIdzbk+GdYJ8F6KyL3nM6B8zHDfIbz1KLgJecc61pvuwmOcvJ4o9uhzWA806eRUd8f9qYtk30C85wAg0RLAGeB6YGaNt56K3/SuAZYnHZcCngU8n1rkaeAnNUngWeGOM9s1MHHd5wgZ//pLtE+D2xPldCcyL+f87GhXy8UnLinb+0AvQJqAbjTN/HB0zegL4O/AnYFJi3XnAT5O2/Vjie7gG+GiM9q1B4+P+O+iz3KYCj/b1XYjJvp8lvlsrUDGvSrUv8f6I33oc9iWW3+O/c0nrxn7+Cn1YyQbDMIwyY6CEegzDMIyAmPAbhmGUGSb8hmEYZYYJv2EYRplhwm8YhlFmmPAbZY9o9dT1IjIp8X5i4n1NCPt+ptB9GEbYWDqnYQAi8s/ALOfcfBH5T2CDc+67xbbLMKLAPH7DUH4InCVa5/9c4NZ0K4nIbxLFt17yBbhEpDpRW79CRAaJyFMi8pbEZ52J5yoRaUzUaF8lIufF9HcZxhGYx28YCUTkrcBjwFucc49nWGeSc65dREai5QPOd861icgn0JLLz6N3Dp9KrN/pnBsjIl8ARjjnvi0ig4FRTkt0G0bsmMdvGL1cik7Tn93HOp8VEV8WYjpwHIBz7qfAOLSMxBfTbLcE+KiI3AycaqJvFBMTfsMARGQucDHaXezz6ZrMiMgFaJGus52Wf/4rWgMKERlFb2OTManbOm3s0YBWkrxHRD4cwZ9hGIEw4TfKnkRVz/9A+yQ0A/9K+hj/eGC7c26PiJyIXiQ830Pr29+IlhROPUY12rzjJ8BP0bZ+hlEUTPgNAz4JNCfF9f8dOElEzk9Z7zFgiIisBm5Bwz0k1nsD2sP2PqBLRD6asu0FwHIR+SvwPuBHkfwlhhEAG9w1DMMoM8zjNwzDKDNM+A3DMMoME37DMIwyw4TfMAyjzDDhNwzDKDNM+A3DMMoME37DMIwy4/8B67+AAzswhkwAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TfEPUvKlJhSD", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 532 + }, + "outputId": "ccbdbd72-0370-4549-8dac-a5d16a79f9f9" + }, + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from scipy.interpolate import make_interp_spline\n", + "\n", + "# Local variables\n", + "x1 = [1,2,3,5,8,11,16,20,22,44,52,65,74,105,111]\n", + "y1 = [1,3,5,8,4,7,9,13,16,30,53,38,85,32,100]\n", + "\n", + "\n", + "x_sm = np.array(x)\n", + "y_sm = np.array(y)\n", + "\n", + "x_smooth = np.linspace(x_sm.min(), x_sm.max(), 200)\n", + "a_BSpline = make_interp_spline(x, y)\n", + "y_smooth = a_BSpline( x_smooth)\n", + "\n", + "# Show the plot/image\n", + "plt.xlabel('X axis')\n", + "plt.plot(x_smooth,y_smooth,label='Smooth Line')\n", + "plt.plot(x1,y1,label='Actual Line')\n", + "plt.ylabel('Y axis')\n", + "plt.legend()\n", + "plt.tight_layout()\n", + "plt.grid(alpha=0.8)\n", + "plt.savefig(\"example6.eps\")\n", + "plt.show()" + ], + "execution_count": 99, + "outputs": [ + { + "output_type": "stream", + "text": [ + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" + ], + "name": "stderr" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pDqbHxBvIk1k", + "colab_type": "text" + }, + "source": [ + "2. Scatter Plot " + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "lTbg96YFS1ll", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "b26599af-a191-400b-9d9d-d4686d4831bc" + }, + "source": [ + "plt.title('Scatter Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.scatter(y,x,color='blue',label='Blue',alpha=0.45) #labeling what does a certain color mean ;)\n", + "plt.legend() #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() #compiles all of the above\n", + "#aplha = 0.9 is the transparency of the graph. 0 is transparent and 1 is opaque" + ], + "execution_count": 102, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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tbcv7+vpmFMPo6ChNTU0zewAJUHzVUXzVUXzVS3OMK1as2OTuXRNWuHvsF6AF2AAcD2wtKO8AtpSrv3z5cp+pDRs2zLhuEhRfdRRfdRRf9dIcI7DRS+TUREb1uPtwlPiPBVrMLP/bQjvwcBIxiIhIEOeonoPMrCW6vS9wEpAjfAC8M9rsLODnccUgIiITxTmqZzGwPurnnwP8wN37zexeoM/MLgV+A3wzxhhERKRIbInf3e8GjipR/iBwdFztiojI1PTPXRGRjFHiFxHJGCV+EZGMUeIXEckYJX4RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMUeIXEckYJX4RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMKZv4zew0M1sY3f5HM/uJmS2LPzQREYlDJUf8n3D3J83seOCvCWfM+lq8YYmISFwqSfx7ouu/Ada6+78D8+MLSURE4lRJ4n/YzP4FeBdwjZm9qMJ6IiKSQpUk8NOBXwJvcvdhoBW4KNaoREQkNpOebN3Mmt19BFgADERlrcCzwMZEohMRkZqbNPED3wN6gE2AA1awzoGXxRiXiIjEZNLE7+490fWhyYUjIiJxq2Qc/3lFy3PN7FPxhSQiInGq5MfdE83sGjNbbGZHArcBC8tVMrMOM9tgZvea2T1mdkFUfomZPWxmm6PLW6p8DCIiMg1T9fED4O5nmNm7gN8CTwFnuPstFdz3buBCd78z+ufvJjO7Plp3ubt/acZRi4jIjFXS1fMK4ALgx8BDwEoze3G5eu7+iLvfGd1+EsgBh1QXroiIVMvcfeoNzO4DPujuN5iZAX8PnOvur6q4EbMlwE3AkVH9s4ERwrDQC919V4k6q4BVAG1tbcv7+voqbW4vo6OjNDU1zahuEhRfdRRfdRRf9dIc44oVKza5e9eEFe4+5QVoLlH2ynL1CrZtIgwJfUe03AbMJXzb+BzwrXL3sXz5cp+pDRs2zLhuEhRfdRRfdRRf9dIcI7DRS+TUSvr4R6IfdY8g/Jkr7/5ydc1sHqGL6Ep3/0l0f48WrL8C6C93PyIiUjtlE380dLObkPivAd4M3Ax8p0w9I8zkmXP3ywrKF7v7I9Hi24EtM4pcRERmpGziB94JvAb4jbufY2ZtwHcrqHccsBL4rZltjso+BrzHzJYS/v27DXj/tKOW2OVy0N8PBx8Mq1dDTw90dtY7KhGphUoS/9PuPm5mu82sGXgM6ChXyd1vZu9pHvKumWaMkrBcDtasgdZW+Iu/gJGRsNzbq+Qv0ggq+QPXRjNrAa4g/Eh7J3BrrFFJXfX3h6Tf0hKWW1rCcr9+jRFpCJX8uPu30c2vm9kvCKN87o43LKmnwUFob9+7rLk5lIvI7FdJV8/z3H1bTHFIirS3h+6d/BE/hOXiDwMRmZ10Ji2ZoKcHhoZgeDgsDw+H5Z6e+sYlIrUxaeKPJmZbklwokhadneGH3OZmGBsL1/phV6RxTNXV823gOjNbD3zR3Z9LKCZJgc7OcBkYgJUr6x2NiNTSVCdi+aGZXQt8gjCy51+B8YL1l01WV0RE0qvcj7tjhKmYX0SYg3986s1FRCTtpjrZ+inAZcDVwDJ3/3NiUYmISGymOuL/OHCau9+TVDAiIhK/qfr4X59kICIikoxp/YFLkpOfJC3/L1pNkiZZ0giTBKb5Paw/cKVQfpK0/L9l85Ok5XL1jkwkfoWv//nzZ+frP+3vYSX+FCqcJG3OHE2SJtnSCJMEpv09rMSfQoOD4d+yhTRJmmRFI7z+0/4YlPhTKP/VsJAmSZOsaITXf9ofgxJ/ChVOkjY+rknSJFsaYZLAtL+HlfhTqHCStPxXRk2SJlnRCJMEpv09rOGcKZWfJE0kixphksA0v4d1xC8ikjFK/CIiGaPELyKSMUr8IiIZo8QvIpIxsY3qMbMO4DtAG+DAWnf/spm1AlcBS4BtwOnuviuuOLIqzRNESXl6/iROcR7x7wYudPcjgGOAD5rZEcDFwA3u/grghmhZaijtE0TJ1PT8SdxiS/zu/oi73xndfhLIAYcAbwPWR5utB06NK4asSvsEUTI1PX8SN3P3+BsxWwLcBBwJ/MHdW6JyA3bll4vqrAJWAbS1tS3v6+ubUdujo6M0NTXNLPAExBHf9u1hOttiY2PQ0TG9+8ri/qulmcRXy+evnEbcf0lLc4wrVqzY5O5dxeWx/3PXzJqAHwMfcveRkOsDd3czK/nJ4+5rgbUAXV1d3t3dPaP2BwYGmGndJMQR3+rVoXugpeDjdHg4/G18uv+CzOL+q6WZxFfL5y+O+JKU9vhgdsRYLNZRPWY2j5D0r3T3n0TFj5rZ4mj9YuCxOGPIorRPECVT0/MncYst8UfdON8Ecu5+WcGqq4GzottnAT+PK4asSvsEUTI1PX8Stzi7eo4DVgK/NbPNUdnHgM8DPzCz84CHgNNjjKFu6j0cL80TREl5ev4kTrElfne/GbBJVp8YV7tpkB+O19q693A8HbWJSBron7sx0HA8EUkzJf4YpP18myKSbUr8MUj7+TZFJNuU+GOg4XgikmZK/DHQcDwRSTOdczcmGo4nImmlI34RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMUeIXEckYJX4RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMUeIXEckYJX4RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMUeIXEcmY2E69aGbfAnqAx9z9yKjsEuB9wOPRZh9z92viikHqJ5eD/v5wzuH29nCieZ2KUiQd4jziXwecUqL8cndfGl2U9BtQLgdr1sDISEj6IyNhOZerd2QiAjEmfne/CRiK6/4lvfr7obUVWlpgzpxw3doaykWk/szd47tzsyVAf1FXz9nACLARuNDdd01SdxWwCqCtrW15X1/fjGIYHR2lqalpRnWT0Ijxbd8O8+dPLB8bg46OGgUWacT9lyTFV700x7hixYpN7t5VXJ504m8DdgAOfBZY7O7nlrufrq4u37hx44xiGBgYoLu7e0Z1k9CI8a1eHbp3WlpeKBsehuZmuOii+seXJMVXnbTHB+mO0cxKJv5ER/W4+6Puvsfdx4ErgKOTbF+S0dMDQ0Mh2Y+Ph+uhoVAuIvWXaOI3s8UFi28HtiTZviSjsxN6e8MR/uBguO7t1agekbSIczjn94Fu4EAzGwQ+BXSb2VJCV8824P1xtS/11dmpRC+SVrElfnd/T4nib8bVnoiIVEb/3BURyRglfhGRjFHiFxHJGCV+EZGMie3HXZHZTJPMVUf7L910xC9SRJPMVUf7L/2U+EWKaJK56mj/pZ8Sv0iR/L+NC+X/hSzlaf+lnxK/SJF890ShfLeFlKf9l35K/CJFNMlcdbT/0k+JX6SIJpmrjvZf+mk4p0gJmmSuOtp/6aYjfhGRjFHiFxHJGCV+EZGMUeIXEckYJX4RkYzRqB4RmUCTrDU2HfGLyF40yVrjU+IXkb1okrXGp8QvInvRJGuNT4lfRPaiSdYanxK/iOxFk6w1PiV+EdmLJllrfLEN5zSzbwE9wGPufmRU1gpcBSwBtgGnu/uuuGIQkZmZ7ZOsaTjq1OI84l8HnFJUdjFwg7u/ArghWhYRqRkNRy0vtsTv7jcBQ0XFbwPWR7fXA6fG1b6IZJOGo5Zn7h7fnZstAfoLunqG3b0lum3ArvxyibqrgFUAbW1ty/v6+mYUw+joKE1NTTOqmwTFVx3FV51GjG/7dpg/f2L52Bh0dNQosAJp3ocrVqzY5O5dxeV1m7LB3d3MJv3Ucfe1wFqArq4u7+7unlE7AwMDzLRuEhRfdRRfdRoxvtWrQ/dOS8Eh5fBw+JF65craxgfp34elJD2q51EzWwwQXT+WcPsi0uA0HLW8pBP/1cBZ0e2zgJ8n3L6INDgNRy0vzuGc3we6gQPNbBD4FPB54Admdh7wEHB6XO2LSHbN9uGocYst8bv7eyZZdWJcbYqISHn6566ISMYo8YuIZIwSv4hIxijxi4hkTKz/3K0VM3ucMApoJg4EdtQwnFpTfNVRfNVRfNVLc4wvdfeDigtnReKvhpltLPWX5bRQfNVRfNVRfNWbDTEWU1ePiEjGKPGLiGRMFhL/2noHUIbiq47iq47iq95siHEvDd/HLyIie8vCEb+IiBRQ4hcRyZiGSfxmdoqZ/T8z22pmE87la2YvMrOrovW3R2cHSyq2DjPbYGb3mtk9ZnZBiW26zewJM9scXT6ZVHxR+9vM7LdR2xtLrDcz+9/R/rvbzJYlGNtfFuyXzWY2YmYfKtom0f1nZt8ys8fMbEtBWauZXW9mv4uu95+k7lnRNr8zs7NKbRNTfKvN7L7o+fupmU129rspXwsxxneJmT1c8By+ZZK6U77XY4zvqoLYtpnZ5knqxr7/qubus/4CzAUeAF4GzAfuAo4o2uZvga9Ht98NXJVgfIuBZdHthcD9JeLrJpymsl77cBtw4BTr3wJcCxhwDHB7HZ/rPxH+mFK3/Qe8AVgGbCko+yJwcXT7YuALJeq1Ag9G1/tHt/dPKL6TgX2i218oFV8lr4UY47sE+HAFz/+U7/W44ita/8/AJ+u1/6q9NMoR/9HAVnd/0N3HgD7Cid0LFZ7o/UfAidF5f2Pn7o+4+53R7SeBHHBIEm3X0NuA73hwG9CSP5tawk4EHnD3mf6Tuybc/SZgqKi48DW2Hji1RNU3Ade7+5C77wKuB05JIj53v87dd0eLtwHttW63UpPsv0pU8l6v2lTxRXnjdOD7tW43KY2S+A8BthcsDzIxsT6/TfTifwI4IJHoCkRdTEcBt5dYfayZ3WVm15rZqxINDBy4zsw2RSe6L1bJPk7Cu5n8DVfP/QfQ5u6PRLf/BLSV2CYt+/Fcwje4Usq9FuLUG3VFfWuSrrI07L/XA4+6++8mWV/P/VeRRkn8s4KZNQE/Bj7k7iNFq+8kdF+8BvgK8LOEwzve3ZcBbwY+aGZvSLj9ssxsPvBW4IclVtd7/+3Fw3f+VI6VNrOPA7uBKyfZpF6vha8BLweWAo8QulPS6D1MfbSf+vdSoyT+h4GOguX2qKzkNma2D7AI2JlIdKHNeYSkf6W7/6R4vbuPuPtodPsaYJ6ZHZhUfO7+cHT9GPBTwlfqQpXs47i9GbjT3R8tXlHv/Rd5NN/9FV0/VmKbuu5HMzsb6AHeG304TVDBayEW7v6ou+9x93Hgiknarff+2wd4B3DVZNvUa/9NR6Mk/l8DrzCzQ6OjwncTTuxeqPBE7+8EfjXZC7/Woj7BbwI5d79skm0Ozv/mYGZHE56bRD6YzGw/M1uYv034EXBL0WZXA2dGo3uOAZ4o6NZIyqRHWvXcfwUKX2NnAT8vsc0vgZPNbP+oK+PkqCx2ZnYK8BHgre7+50m2qeS1EFd8hb8ZvX2Sdit5r8fpr4H73H2w1Mp67r9pqfevy7W6EEad3E/4xf/jUdlnCC9ygAWELoKtwB3AyxKM7XjC1/67gc3R5S3AB4APRNv0AvcQRincBvxVgvG9LGr3riiG/P4rjM+Ar0b797dAV8LP736ERL6ooKxu+4/wAfQI8Byhn/k8wm9GNwC/A/4DaI227QK+UVD33Oh1uBU4J8H4thL6x/Ovwfwot5cA10z1Wkgovn+NXlt3E5L54uL4ouUJ7/Uk4ovK1+VfcwXbJr7/qr1oygYRkYxplK4eERGpkBK/iEjGKPGLiGSMEr+ISMYo8YuIZIwSv2SehdlTf29mrdHy/tHykhrc939Wex8itabhnCKAmX0EOMzdV5nZvwDb3P2f6h2XSBx0xC8SXA4cY2Ge/+OBL5XayMx+Fk2+dU9+Ai4ze2k0t/6BZjbHzP6vmZ0crRuNrheb2U3RHO1bzOz1CT0ukQl0xC8SMbM3Ab8ATnb36yfZptXdh8xsX8L0AW90951mdj5hyuU7CN8c3h9tP+ruTWZ2IbDA3T9nZnOBF3uYolskcTriF3nBmwl/0z9yim3+zszy00J0AK8AcPdvAM2EaSQ+XKLer4FzzOwS4NVK+lJPSvwigJktBU4inF3sf5Q6yYyZdRMm6TrWw/TPvyHMAYWZvZgXTmzSVFzXw4k93kCYSXKdmZ0Zw8MQqYgSv2ReNKvn1wjnSfgDsJrSffyLgF3u/mczO5zwIVGCscYAAACJSURBVJH3BcL89p8kTClc3MZLCSfvuAL4BuG0fiJ1ocQvAu8D/lDQr/9/gE4ze2PRdr8A9jGzHPB5QncP0XavJZzD9kpgzMzOKarbDdxlZr8B3gV8OZZHIlIB/bgrIpIxOuIXEckYJX4RkYxR4hcRyRglfhGRjFHiFxHJGCV+EZGMUeIXEcmY/w9nIjV3pqLMAQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ivpqev8dYrOg", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "fa0370a6-886d-4ba1-c2e2-0c87c39aa82f" + }, + "source": [ + "#Plotting more than one plot example\n", + "\n", + "z=[random.randint(50,70) for i in range(20)]\n", + "plt.title('Scatter Plot clustering') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.scatter(y,z,color='red',label='Red',alpha=0.9)\n", + "plt.scatter(y,x,color='green',label='Green',alpha=0.9)\n", + "plt.legend(loc='lower right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() #compiles all of the above\n", + "#aplha = 0.9 is the transparency of the graph. 0 is transparent and 1 is opaque" + ], + "execution_count": 103, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h7834icUwtf4", + "colab_type": "text" + }, + "source": [ + "3. Bar Graph" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JSEGMrccS1cs", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "76374c14-397e-4e30-c022-cb916a793fcf" + }, + "source": [ + "plt.title('Bar Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.bar(y[2:6],x[2:6],color='blue',label='Blue',alpha=0.45) #labeling what does a certain color mean ;)\n", + "plt.bar(y[12:16],x[12:16],color='blue',label='Dark Blue',alpha=0.75) #labeling what does a certain color mean ;)\n", + "plt.legend() #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 104, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tYpfBTZiDu4z", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "fe64fcae-14a6-4dfb-c3f1-de23e4c1db2c" + }, + "source": [ + "#\n", + "\n", + "x_bar=[[random.randint(20,50) for i in range(20)] for i in range(3)]\n", + "#print(x_bar)\n", + "plt.title('Bar Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.bar(y,x_bar[0],color='red',label='Red',alpha=0.35) #labeling what does a certain color mean ;)\n", + "plt.bar(y,x_bar[1],color='blue',label='Blue',alpha=0.35) #labeling what does a certain color mean ;)\n", + "plt.bar(y,x_bar[2],color='black',label='Black',alpha=0.35) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 105, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "KfFkqXSH1suN", + "colab_type": "text" + }, + "source": [ + "4. Horizontal Bar Graph" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-gztMLsn2Ro8", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "7877b82a-e348-4c0c-f870-79b373b3c270" + }, + "source": [ + "plt.title('Horizontal Bar Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.barh(y,x,color='black',label='Black',alpha=0.55) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 106, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "aqPGRgp2Duut", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "94291163-7e91-4d52-ac69-4a80cd49a67b" + }, + "source": [ + "x_barh=[[random.randint(20,50) for i in range(10)] for i in range(2)]\n", + "#print(x_bar)\n", + "plt.title('Horizontal Bar Graph') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.barh(y,x_bar[0],color='red',label='Red',alpha=0.35) #labeling what does a certain color mean ;)\n", + "plt.barh(y,x_bar[1],color='blue',label='Blue',alpha=0.35) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 107, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IKD1YiL76Ue5", + "colab_type": "text" + }, + "source": [ + "5. Histogram" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "KfXEzGJM-_FX", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "eceeda2e-9907-4e8d-f8cb-016ea89dac51" + }, + "source": [ + "plt.title('Histogram') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.hist(x,bins=10,color='yellow',label='Yellow',alpha=0.55) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 108, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Qf8AciT1_yCG", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 295 + }, + "outputId": "085e9a7d-ff2a-4fc3-fe4b-74ea4b1449bf" + }, + "source": [ + "plt.title('Histogram') #title of the plot\n", + "plt.grid() #grid \n", + "plt.xlabel('X axis') #labeling x axis\n", + "plt.ylabel('Y axis') #labeling y acis\n", + "plt.hist(x[:9],bins=10,color='yellow',label='Yellow',alpha=0.55) #labeling what does a certain color mean ;)\n", + "plt.hist(x[10:],bins=20,color='orange',label='Yellow',alpha=0.55) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper right') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 109, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "w0j7QwNHH8AQ", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 513 + }, + "outputId": "15e95db9-7ed7-4c30-958a-c0d556eba317" + }, + "source": [ + "from matplotlib import colors \n", + "from matplotlib.ticker import PercentFormatter \n", + "\n", + "# Creating dataset \n", + "np.random.seed(23685752) \n", + "N_points = 10000\n", + "n_bins = 15\n", + " \n", + "# Creating distribution \n", + "x = np.random.randn(N_points) \n", + "y = .8 ** x + np.random.randn(10000) + 25\n", + "legend = ['distribution'] \n", + " \n", + "# Creating histogram \n", + "fig, axs = plt.subplots(1, 1, \n", + " figsize =(10, 7), \n", + " tight_layout = True) \n", + " \n", + " \n", + "# Remove axes splines \n", + "for s in ['top', 'bottom', 'left', 'right']: \n", + " axs.spines[s].set_visible(False) \n", + " \n", + "# Remove x, y ticks \n", + "axs.xaxis.set_ticks_position('none') \n", + "axs.yaxis.set_ticks_position('none') \n", + " \n", + "# Add padding between axes and labels \n", + "axs.xaxis.set_tick_params(pad = 5) \n", + "axs.yaxis.set_tick_params(pad = 10) \n", + " \n", + "# Add x, y gridlines \n", + "axs.grid(b = True, color ='grey', \n", + " linestyle ='-.', linewidth = 0.5, \n", + " alpha = 0.6) \n", + " \n", + "# Add Text watermark \n", + "fig.text(0.9, 0.15, 'Plot', \n", + " fontsize = 12, \n", + " color ='red', \n", + " ha ='right', \n", + " va ='bottom', \n", + " alpha = 0.7) \n", + " \n", + "# Creating histogram \n", + "N, bins, patches = axs.hist(x, bins = n_bins) \n", + " \n", + "# Setting color \n", + "fracs = ((N**(1 / 5)) / N.max()) \n", + "norm = colors.Normalize(fracs.min(), fracs.max()) \n", + " \n", + "for thisfrac, thispatch in zip(fracs, patches): \n", + " color = plt.cm.viridis(norm(thisfrac)) \n", + " thispatch.set_facecolor(color) \n", + " \n", + "# Adding extra features \n", + "plt.xlabel(\"X-axis\") \n", + "plt.ylabel(\"y-axis\") \n", + "plt.legend(legend) \n", + "plt.title('Customized histogram') \n", + " \n", + "# Show plot \n", + "plt.show() " + ], + "execution_count": 77, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WNGai-cnHhwj", + "colab_type": "text" + }, + "source": [ + "6. Pie Chart" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "P6sKrANh6Bid", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 264 + }, + "outputId": "37b1f47e-47f3-4147-93ca-0da7fc5ef584" + }, + "source": [ + "interests=[30,30,40]\n", + "label=['Streaming Youtube','Music','Content Creation'] \n", + "explode=[0.025,0.1,0.035]\n", + "plt.title('PieChart') #title of the plot\n", + "plt.grid() #grid \n", + "plt.pie(interests,radius=1,labels=label,explode=explode) #labeling what does a certain color mean ;)\n", + "plt.legend(loc='upper left') #showing the labels \n", + "#by default the loc is upper right\n", + "plt.show() " + ], + "execution_count": 97, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5XHzXV6BH1nV", + "colab_type": "text" + }, + "source": [ + "7. Subplotting" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Yia9LjqD6BfS", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 281 + }, + "outputId": "21fe38eb-6a33-47ce-df96-f62ec17198d4" + }, + "source": [ + "_,ax=plt.subplots(1,2)\n", + "ax[0].plot(y[:5],x[:5],color='red')\n", + "ax[0].title.set_text('Line Chart')\n", + "ax[0].grid()\n", + "\n", + "ax[1].bar(y[:5],x[:5],color='orange',alpha=0.75)\n", + "ax[1].title.set_text('Bar Graph')\n", + "ax[1].grid()" + ], + "execution_count": 121, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qJCNSlnhBR6j", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 281 + }, + "outputId": "bf2f350d-99f2-4ed1-d3a8-d50889d5faf6" + }, + "source": [ + "_,plot=plt.subplots(2,2)\n", + "plot[0,0].plot(y[:5],x[:5],color='red')\n", + "plot[0,0].title.set_text('Line Chart')\n", + "plot[0,0].grid()\n", + "\n", + "plot[0,1].bar(y[:5],x[:5],color='orange',alpha=0.75)\n", + "plot[0,1].title.set_text('Bar Graph')\n", + "plot[0,1].grid()\n", + "\n", + "plot[1,0].barh(y[:5],x[:5],color='black',alpha=0.75)\n", + "plot[1,0].title.set_text('Horizontal Bar Graph')\n", + "plot[1,0].grid()\n", + "\n", + "plot[1,1].scatter(y[:5],x[:5],color='green',alpha=0.95)\n", + "plot[1,1].title.set_text('Scatter Plot')\n", + "plot[1,1].grid()" + ], + "execution_count": 124, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Hz1QeFdqOU6e", + "colab_type": "text" + }, + "source": [ + "3D Plots\n", + " \n", + "Resources : https://matplotlib.org/mpl_toolkits/mplot3d/tutorial.html" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0ybaMQZaNAjO", + "colab_type": "text" + }, + "source": [ + "8. Wire Frame" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JXDImRU6NJ4I", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "outputId": "e2486c83-40b2-47ff-b5ef-62c53aea2f74" + }, + "source": [ + "from mpl_toolkits.mplot3d import axes3d\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "\n", + "x, y, z = axes3d.get_test_data(0.05)\n", + "ax.plot_wireframe(x,y,z, rstride=2, cstride=2,color='black',alpha=0.7)\n", + "\n", + "plt.show()\n" + ], + "execution_count": 127, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VSGTFh7nODCh", + "colab_type": "text" + }, + "source": [ + "9. Surface Plot" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NAHMXXg0NJtI", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "outputId": "5106ab69-ee5d-4cb1-b5b2-1049dfe2e4b5" + }, + "source": [ + "from matplotlib import cm\n", + "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "\n", + "# Make data.\n", + "X = np.arange(-5, 5, 0.25)\n", + "Y = np.arange(-5, 5, 0.25)\n", + "X, Y = np.meshgrid(X, Y)\n", + "R = np.sqrt(X**2 + Y**2)\n", + "Z = np.sin(R)\n", + "\n", + "# Plot the surface.\n", + "surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n", + " linewidth=0, antialiased=False)\n", + "\n", + "# Customize the z axis.\n", + "ax.set_zlim(-1.01, 1.01)\n", + "ax.zaxis.set_major_locator(LinearLocator(10))\n", + "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", + "\n", + "# Add a color bar which maps values to colors.\n", + "fig.colorbar(surf, shrink=0.5, aspect=5)\n", + "\n", + "plt.show()" + ], + "execution_count": 130, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WRNYFL1_Oere", + "colab_type": "text" + }, + "source": [ + "10. Contour Plot" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "O5xX57kmOxQb", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "outputId": "639ac73b-c152-454f-db1b-d8ee5a6dcdea" + }, + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "X, Y, Z = axes3d.get_test_data(0.15)\n", + "cset = ax.contour(X, Y, Z, cmap=cm.coolwarm)\n", + "ax.clabel(cset, fontsize=9, inline=1)\n", + "\n", + "plt.show()\n" + ], + "execution_count": 133, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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