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Project_2-Data Visualization_1
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting a Simple Line Graph"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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DD+LWr/ejXpEuO9VkcZOFu68BrgMws6XAue6+IVOBiUh2LVu/g8ufmcFnq7bG\nLK9bmMdvvtGPswZ3zHBkkg2pzsHdNd2BiEjueH32Kq7/+yds31MSs7xbqwb873mH06ttowxHJtlS\nmVFnTydo5D6E4LLUZ8Dt4UiyIlIDFJeU8fvX5zJ28rK4db4xoD2//2Z/GtTJ6T69UsVS+mub2aXA\ng8AzBH0iIJgA6WUz+6G7P5am+EQkQ1Zs3MmVz85k1orNMcuLCvL41RmHMOqITgTT2khtkupXgxuA\nn7j7/RHLHg3vlLoRULIQqcYmzV3DT16YxZZde2OWd2penwfPG0S/Dk0yHJnkilSTRSeC4cOjjSeY\nWlVEqqG9pWXcMXE+f31vSdw6I/q25Y9nHUrjuoUZjExyTarJ4nPgFGBR1PJTCYYQF5FqZvWW3Vz1\n7AymLtsUs7wgz/jZaX343rFddNlJUk4WdwD3mdkggs56Dgwl6ItxVZpiE5E0eX/BOq55/mM27og9\nxX2HpvW4b9RABnVqluHIJFeleuvsX8OpTn8KfCtcPJdgkL9/pCs4EalapWXOPZMWct/bC4k35+VJ\nvVvz57MOo1mDoswGJzkt5Xvf3P1lNFS4SLW1btsefvTcTCYvjt23Nj/PuG54Ly4b1o28PF12kq/S\njdIitcB/F2/g6udmsm5b7BF7Wjeqw33nDuTIbi0yHJlUF0oWIjVYWZnzv+8t5s8T51MW57LT0B4t\nufucAbRsWCezwUm1omQhUkNt2lHMj1/4mHfnr4tZbgY/+lpPrjqpJ/m67CRJKFmI1EDTl2/iqnEz\n+HLL7pjlLRoUcc85Axnas2WGI5PqSslCpAZxdx79z1JuGz+PkjjXnY7o2pz7zh1Im8Z1MxydVGeV\nGUjwcuAKoCvQz92XmNmNwBJ3fyFdAYpIarbs2st1f5vFxM/WxK1z+Qnd+ckpB1OQn5fByKQmSOkd\nY2bXADcDD/HVObS/AK5MQ1wiUgmzV27hf+77d9xE0bR+IY+PHsL1I3orUch+SfXM4gfAGHd/zcx+\nG7F8BtC36sMSkVS4O09/uJzf/GsuxaVlMesM6NiUB84bRIem9TIcndQkqSaLzsCcGMv3AnoHimTB\n9j0l3PjiJ/zrk1Vx61x8bFduHNmbogKdTciBSTVZLAEGUXHQwNMIJkESkQyau2orVzwzgyXrd8Qs\nb1SngD+ddSgj+rXLcGRSU1VmIMH7zaw+QZvF0WZ2AXA9cHG6ghORil6YtoJfvDKHPSWxLzv1bd+Y\nB88bROd7GDKKAAAXVklEQVQWDTIcmdRkqQ4k+LiZFQC/B+oDTxE0bl/t7s+nMT4RCe0sLuEXr3zK\nizNWxq1z/lGduPn0Q6hbmJ/ByKQ2SJoszCwP6A2Mc/eHzawlkOfua9MenYgAsGjtNi5/ZgYL1myP\nWV6/KJ8/fKs/3xjQIcORSW2RypmFAx8DhwCL3H19ekMSkUj/+PgLbnppNjuLS2OW92rTiAfOG0SP\n1g0zHJnUJkmThbu7mc0HWlFxpjwRSZPde0v59b8+Y9yUz+PW+c7hB/Gbb/SjXpEuO0l6pdrAfT3w\nJzO7EpjlHm/aFBGpCsvW7+DyZ2bw2aqtMcvrFubx62/04+zBHTMcmdRWqSaLF4C6wHSgxMy+Mii+\nuzeu6sBEaqvxs1dx/d8/Yduekpjl3Vo14MHzBtG7rf7tJHNSTRZVMqSHmR0HXAscDrQHvufuYyPK\nDfgVcBnQDJgCXOHun1bF/kVyWXFJGX8YP5fHP1gWt84Zh7XnD9/qT8M6GgNUMivVW2efqKL9NSTo\nCf5k+Ih2PcE836OB+cAvgTfNrJe7b6uiGERyzspNO7li3Exmrdgcs7woP49fnnEI5x3ZieA7lUhm\nVfrriZm1Bb4yk7u7x2+B+2q914HXw+2MjdquAdcAt7n7i+Gyi4C1wCjgr5WNVaQ6mDR3DT95YRZb\ndu2NWd6peX0ePG8Q/To0yXBkIvuklCzMrAlwL3A2UYkiVBW3YnQF2gITyxe4+y4zex84BiULqWFK\nSsu4Y+IC/vLe4rh1hvdtwx+/cxhN6hVmMDKRiioz3MdhwJnASwRDfHQAfkRw2agqtA2fo8dYXhPu\nqwIzu4ygfYNOnTpVURgi6bd6y26ufnYmHy3bGLO8IM+46bQ+XHxsF112kpyQarIYCZzr7v82s1Jg\nurs/b2argO8Df6/CmKJvy7UYy4KK7g8RzLHB4MGDdTuvVAv/XriOa577mA07imOWt29Sl/vPG8Sg\nTs0yHJlIfKkmi6bsG3F2C9CCoIPef4FHqiiW1eFzW2BFxPLWVDzbEKl2SsuceyYt5L63FxKvp9KJ\nvVpx59kDaNYg1tVekexJdZD7xUC38Oe5wDlhg/S3gNjn0ZW3lCBhnFK+wMzqAsOAyVW0D5GsWLdt\nDxc+NoV7J8VOFHkG14/oxaMXDVGikJyU6pnFWOBQ4F3gNuBfBH0v8gjaLVJiZg2BHuHLPKCTmQ0A\nNrr752Z2N/BzM5sHLCCYynU7MC7VfYjkmilLNnDVszNZu21PzPLWjepw77kDOapbiwxHJpK6VPtZ\n3BXx89tm1hsYDCx099mV2N9g4J2I17eGjycI+lb8kWDmvQfY1ynvVPWxkOqorMz5y/uLueON+ZTF\nuex0bI8W3P3dgbRqVCezwYlU0n51Aw37VaTUtyJqvXcJGqzjlTtwS/gQqZbcnfcXrue28fOYG2ds\nJzO4+qSeXP21nuTn6W4nyX2p9rP4SaJyd7+zasIRqd5mr9zCH8bPZfLiDXHrtGhQxN3nDGBYz1YZ\njEzkwKR6ZnFV1OtCoB2wi6CHtZKF1GrLN+zgjokLeHXWlwnrDenSjPvOHUTbJnUzFJlI1Ui1zaJr\n9DIzawM8Djxc1UGJVBfrt+/h/rcX8cyU5ewtTdzV5wfHd+faUw+mID/VmxBFcsd+D13p7mvM7OcE\nw5e/XHUhieS+HXtKePQ/S/nre4vZEWcGu3IDOjblZ6f14YiuzTMUnUjVO9BxjvOANlURiEh1sLe0\njOenruDutxayfnvsW2HLdW3ZgOuH92JEv7YaskOqvVQbuL8VvYigzeIK4N9VHZRIrnF3JsxZzZ/e\nmM+S9TsS1m3ZsA7XnNyT7w7pSKEuOUkNkeqZRfTYTw6sA96m6gYSFMlJU5Zs4A/j5/FxnLkmyjUo\nyuf7x3fnkqFdaaDJiaSGSbWBW1+PpNaZv3obt0+Yx9vz1iasV5BnnH9UZ648qQctG6pzndRM+voj\nEuXLzbu4880FvDhjZdwB/8r9z6HtuG54Lzq3aJCZ4ESyJNU2i1+mukF3//X+hyOSPVt27uXBdxfx\n+ORlFJeUJax7TPcW3DiyN4ce1DRD0YlkV6pnFmcBnYH6QHmvo/bATvYNXQ5BW4aShVQru/eW8sTk\nZTzwziK27i5JWLdPu8bcOLI3x/VsqTucpFZJNVncCVwIXFQ+37aZdSLolPeMuz+WpvhE0qa0zHl5\n5hfcOXE+X27ZnbBuh6b1uHb4wXzjsA7kaSwnqYVSTRa/BM4sTxQQDCZoZj8F/gEoWUi14e68O38d\nt0+Yx7zViQc0blq/kCtP7MH5R3WmbmFVTDUvUj2lmizaEAwdHq0u0LLqwhFJr49XbOYPr89lytLE\nc3bVKcjj4qFd+cHx3WlSrzBD0YnkrlSTxZvAw2Y2BpgaLhsC/DUsE8lpS9fv4E9vzOP12asT1ssz\nOOvwjvz4lIM12J9IhFSTxaUEExRNBsoHwskD3gDGpCEukSqxbtse7pm0gOc+WkFJvBmIQif3acMN\nI3rRs02jDEUnUn2k2ilvHXCamfUE+hAM9zHX3RekMziR/bV9TwkPvb+ER/69hJ1JBvob1KkpN53W\nhyFdNNCfSDyV6pTn7guBhWZWQNBeIZJTikvKeG7q59w7aSHrtxcnrNutVQNuGNGbUw9po9tgRZJI\nmCzM7GtAC3d/IWLZjQTTnhaY2VvAOe6eeNAckTRzd16bvYo/vTGf5Rt2JqzbulEdrjn5YM4efJDm\nlhBJUbIzixuB8eUvzOwI4PfAo8Bc4Drg5+GzSFZMXhzMd/3Jyi0J6zWsU8APju/GxUO7Ur9II92I\nVEay/5j+BAmj3FnAZHcfA2BmK4DfomQhWTB31VZuGz+P9xasS1ivMD8Y6O+qk3rSvEFRhqITqVmS\nJYumBHNslzsWeD3i9VSgQ1UHJZLIyk07uXPiAl7++IukA/19Y0B7rj21Fx2b189McCI1VLJksQro\nDqwwszrAQOAXEeWNgMTThYlUkU07innw3UU8MXk5xaWJB/ob1rMlN4zoTb8OTTIUnUjNlixZjAf+\nGDZqfx3YwVdnxjsUWJSm2ESAYKC/xz9YxoPvLmJbkoH++rYPBvob1rNVhqITqR2SJYtfAi8BbwHb\nCQYSjLwf8WLUg1vSpLTMeXH6Su58cwGrtyYe6O+gZvW4bngvzji0vQb6E0mDhMnC3dcDx5lZE2C7\nu0f3bjqLIImIVBl3Z9Lctdw+YR4L1yZ+ezWrX8hVJ/XkvKM6UadAA/2JpEuqPbhj3pPo7olHYxOp\npOnLN3H7+Hl8tCzxW6tuYR6XDu3GZcd3o3FdDfQnkm662VxywuJ12/nThPlM+DTxQH/5ecbZgzty\nzck9adNYgwiIZIqShWTV2q27uXvSQp6fuoLSJAP9De/bhuuG96ZH64YZik5EyilZSFZs2703HOhv\nKbv2Jh7ob3DnZtx0Wm8O76yB/kSyJaeShZndAvwqavEad2+bhXAkDYpLynhmynLue3sRG3ckHuiv\nR+uG3DCiNyf3aa2B/kSyLKeSRWg+cELE68RfO6VaKCtzXv3kS+6YOJ8VG3clrNumcR1+csrBfHuQ\nBvoTyRW5mCxK3D1xK6dUK/9ZuJ7bJsxlzhdbE9ZrVLeAH57Qne8d05V6RboNViSX5GKy6GZmXwDF\nwBTgZ+6+JMsxyX6Y88UWbp8wj38vXJ+wXlF+Hhce3ZkrTuxBMw30J5KTci1ZTAFGA/OA1sDNwGQz\n6+vuG6Irm9llwGUAnTp1ymCYksiKjTv588T5vPLxlwnrmcE3B3Tgx6ccrIH+RHKcebJhO7PIzBoC\nS4Db3P3ORHUHDx7s06ZNy0xgEtPGHcXc//Yinv4w+UB/xx/cihtG9OaQ9o0zFJ2IxGJm0919cLJ6\nuXZm8RXuvt3MPgV6ZjsWiW9XcSmPfbCUv7y7mG17Eg/0179DE24a2ZtjerTMUHQiUhVyOlmYWV2g\nN/BOtmORikpKy/jb9JXc9eYC1m5LPFJ9p+b1uW54L07v304D/YlUQzmVLMzsDuBV4HOCNotfAA2A\nJ7IZl3yVuzPxszX8ccI8Fq/bkbBu8wZFXH1SD0Yd2ZmiAt0GK1Jd5VSyAA4CngVaAuuAD4Gj3H15\nVqMSIEgSU5dt4vYJ85i+fFPCuvUK8xkzrCtjjutGIw30J1Lt5VSycPdzsh2DfJW788nKLYyfs5oJ\nc1axbMPOhPXz84xzhnTkRyf3pHUjDfQnUlPkVLKQ3FBW5sz4fBOvz17NG5+u5ovNiXtclxvZry3X\nDe9Ft1Ya6E+kplGyECBorP5o6UbGzwkSRLIG60hHdG3OjSN7M6hTszRGKCLZpGRRixWXlDF58XrG\nz17Nm3PXJB3YL9rBbYKB/k7qrYH+RGo6JYtaZvfeUt5fsI4Jc4IEsW134n4R0cxgSOfmfHdIR84c\n2IF83QYrUisoWdQCO/aU8M78tYyfs5p35q1lZ3HlBvLNzzOO7taCEf3acmrfNmq4FqmFlCxqqK27\n9zJp7hrGz17NewvWsack8fAb0QrzjaE9WjKyXztOOaSNBvgTqeWULGqQjTuKefOz1Yyfs5oPFq1n\nb2nlxv2qU5DHCb1aMbJfO07q05rG6h8hIiEli2pu7bbdvPHpGsbPXsWUpRuTzmMdrUFRPif2bs1p\n/dtxQq9W1C/SW0JEKtInQzX0xeZdTAg7yU1bvonKDhzcuG4BJx/ShpH92jGsZ0vqFmqiIRFJTMmi\nmli2fsf/96KetXJLpddv0aCIU/u2YUS/dhzdrYXGaRKRSlGyyGEL12xj/JygDWLuqsRTksbSulEd\nRvRry4h+bTmiS3PNZy0i+03JIoe4O5+t2sr42asZP2dV0hFdY+nQtB4j+7VlZP+2DOzYTMOBi0iV\nULLIMnfn4xWbmRCeQXy+MfFAfbF0bdkgSBD92tGvQ2P1phaRKqdkkQWlZc60ZfvGYVq1ZXelt9Gr\nTSNGhGcQvdo0UoIQkbRSssiQvaVlTFmykfFzVvHGp2tYvz31gfrK9e/QJEgQ/dpqZFcRySglizTa\nU1LKB4v2DdS3eefeSm9jUKemjOzXjhH92tKxef00RCkikpySRRXbVVzKewvWMWHOKibNXcu2PZUb\nqC/PgiG/R/Zrx/C+bWnbROMwiUj2KVlUge17Snh73lomzFnFO/PWsWtv5QbqK8gzjunRkpH92nLK\nIW1o2bBOmiIVEdk/Shb7acvOvbw1dw3j56zi/YXrKa7kQH1FBXkc17MlI/q145Q+bWhSX+MwiUju\nUrKohA3b9zDxszWMn7OayYvWU1LJcZjqFeZzYu9WjOjXjpN6t6ZhHR1+Eake9GmVxJqtu8M+EKv4\naOlGKpkfaFingK/1ac3Ifu04/uBW1CvSOEwiUv0oWcSwYuNO3vg06CQ3ffmmSq/ftH4hp/Rpw8j+\nbTm2R0vqFChBiEj1pmQRWrJuezhQ32pmf1H5gfpaNqzD8L7BSK5HdmtOocZhEpEapNYmC3dnwZrt\njJ+ziglzVjNv9bZKb6Ndk7oM7xt0khvcpbnmoxaRGqvWJovvPvQhHy3dWOn1OjWvz8hwJNfDDmqq\ngfpEpFaotcmie6uGKSeL7q0acFr/oBf1Ie00UJ+I1D61NlmM7NeWZz/6PG55n3aNw5Fc29KzTaMM\nRiYikntqbbI4unsLmtQrZMuufeM1HdaxaXCJqW9burRskMXoRERyS61NFoX5eZx6SBuWbdjBiHCg\nvg5N62U7LBGRnFRrkwXA7d8+VA3UIiIpyMnOAGZ2uZktNbPdZjbdzIalYz9KFCIiqcm5ZGFm3wXu\nAX4PDAQmA+PNrFNWAxMRqcVyLlkAPwHGuvvD7j7X3a8CVgE/zHJcIiK1Vk4lCzMrAg4HJkYVTQSO\nyXxEIiICOZYsgJZAPrAmavkaoG10ZTO7zMymmdm0devWZSI+EZFaKdeSRbnogcAtxjLc/SF3H+zu\ng1u1apWZyEREaqFcu3V2PVBKxbOI1lQ82/iK6dOnrzez5fu535bhviU1Ol6Vo+NVOTpelXcgx6xz\nKpVyKlm4e7GZTQdOAf4WUXQK8GKSdff71MLMprn74P1dv7bR8aocHa/K0fGqvEwcs5xKFqE7gafM\n7CPgA+AHQHvgL1mNSkSkFsu5ZOHuz5tZC+BmoB0wBzjN3ff3EpOIiBygnEsWAO7+IPBgBnf5UAb3\nVRPoeFWOjlfl6HhVXtqPmblXuMlIRETkK3L11lkREckhShYiIpKUkoWIiCRVa5OFmR1nZv80sy/M\nzM1sdLZjymVmdpOZTTWzrWa2zsxeNbN+2Y4rV5nZFWb2SXi8tprZf83s9GzHVV2Y2c/C/8v7sx1L\nLjKzW8LjE/lYnc591tpkATQkuC33R8CuLMdSHZxAcIfaMcBJQAnwlpk1z2ZQOWwlcAMwCBgMvA28\nYmaHZjWqasDMjgLGAJ9kO5YcN5+ge0H5o386d5aTt85mgru/DrwOYGZjsxtN7nP34ZGvzewCYAtw\nLPBqVoLKYe7+j6hFPzezHwJHow/BuMysCfAMcAnwyyyHk+tK3D2tZxORavOZhRyYRgTvn03ZDiTX\nmVm+mZ1DcDY7Odvx5LiHgL+7+9vZDqQa6BZeRl9qZs+ZWbd07qzWnlnIAbsH+Bj4b7YDyVVm1p/g\n+NQFtgPfdPfZ2Y0qd5nZGKAHcEG2Y6kGpgCjgXkEA63eDEw2s77uviEdO1SykEozszuBocBQdy/N\ndjw5bD4wAGgKfBt4wsxOcPc52Q0r95hZL4KplIe5e3G248l17j4+8rWZfQgsAS4iGF+vyilZSKWY\n2V3AOcCJ7r4k2/HksvBDb1H4cpqZDQF+THA9Xr7qaIJhtueYWfmyfOA4M/sB0MDd92QruFzn7tvN\n7FOgZ7r2oWQhKTOzewgSxQnuPi/b8VRDeUCdbAeRo14BpkUtexxYSHDGobONBMysLtAbeCdd+6i1\nycLMGhJcH4Xgn7iTmQ0ANrr759mLLDeZ2QME15LPBDaZWfkEVdvdfXv2IstNZnYb8BqwguBmgFEE\ntx+rr0UM7r4Z2By5zMx2EPw/6rJdFDO7g+AuxM8J2ix+ATQAnkjXPmvz3VCDgZnhox5wa/jzr7MZ\nVA67nOBDbxKwKuJxbTaDymFtgacJ2i0mAUOAkdHXmkX200HAswTvr5eAPcBR6ZzKQaPOiohIUrX5\nzEJERFKkZCEiIkkpWYiISFJKFiIikpSShYiIJKVkISIiSSlZiKSRmV1qZpuT1xTJbUoWIjGEMwG+\nFaesTzgz2SmZjkskW5QsRGJ7BDjJzLrEKLsEWE7QM1ukVlCyEIntNWAN8L3IhWZWSDBG1mPuXmZm\nd5jZAjPbFU5Cc5uZxR0s0Mx+a2YfRy2rcKnKzL5hZjPMbLeZLTGz35hZUdX9eiKVo2QhEoO7lxAM\nyjbazCL/T84gGEr78fD1VoJJaPoAVwLnAzceyL7N7DTgSeBeoC9wKcFovxq3TLJGyUIkvkeBTsDJ\nEcsuASa6+woAd/+1u09292Xu/hpwG3DuAe73ZuA2dx/r7ovDKUZvAn54gNsV2W+1dohykWTcfaGZ\nvQ9cDEw0s/bAcOC75XXM7LvA1UB3gjm2C4CyA9z14cBAM/t5xLI8oJ6ZtXL3dQe4fZFKU7IQSewR\n4GEza05wuWkj8E8AMxsKPAP8CphIMB/DNwkm64mnDLCoZYVRry3c5ksx1t9YufBFqoaShUhifwfu\nI2iLuBh40t33hmXHAsvd/XfllePcPRVpHdDWzMz3zQ8wIKrOTKCXuy9CJEcoWYgk4O67zGwccAvQ\njKAdo9wCghkWzwU+AkYCZyfZ5DvAPcANZvY34CSCs5FItwL/MLMVwN+AUqA/cLi7H1Djucj+UgO3\nSHKPECSKye4+t3yhu78M3EVw19LHBNOm/irRhsIpQq8kmHnwE+BEgkbxyDqvE9x1dQowlSARXU8w\nhaZIVmimPBERSUpnFiIikpSShYiIJKVkISIiSSlZiIhIUkoWIiKSlJKFiIgkpWQhIiJJKVmIiEhS\n/we9YEi4GQJZPQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f2b9940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"input_values=[1,2,3,4,5]\n",
"squares=[1,4,9,16,25]\n",
"plt.plot(input_values, squares, linewidth=5)\n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both', labelsize=14)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting and Styling Individual Points with scatter()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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wZmaWhROMmZll4QRjZmZZOMGYmVkWTjBmZpaFE4yZmWXhBGNmZlk4wZiZWRZO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\nMTOzLJxgzMwsCycYMzPLwgnGzMyy+P9IJ+Rcz1lUEgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f12b128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.scatter(2,4, s=200)\n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting a Series of Points with scatter()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RpIWSNkjaKulWSa9pVIxmZjawRl5ZHA0sAt4MHAv0ADdLeklJmbOBjwMfAd4AbAR+Immf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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f3345c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=[1,2,3,4,5]\n",
"y_values=[1,4,9,16,25]\n",
"\n",
"plt.scatter(x_values, y_values, s=100)\n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Calculating Data Automatically"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YT3qWvPKIC1v7lGsoQERsXIXCBnANsJukCyVtJulIkm76N6Z5BHAtMELSYZK2\nA0aTdCC5M42ZDDwM3Cxpt7RL/83AgxHxSrqeO4EFwGhJ20k6DBgBXJ05VzcS2FfSBZK2knQBsE+6\n/ly5mFnt6kY3F7Y61pK7Ahws6XFJ76cDrB+T9KVyJhMRz5D0mDwKeBG4DPghcFMm7ErgapKC1wCs\nAxwQEdmzvF8DnifpyTg2ff31zHrmkOxxrZu2cSPw87TdxpgngGNIOtO8AHwDODoinmphLmZWY1Zn\ndT7hk6IxPenpwtaO5RrnJulbJAXmDuBv6eShwLHAqRHxq4plWKc8zs2s+oKgC11YytKicWuwRsnz\ncFZ9LRnnVurCyY3OB86OiGyPxV+mPSlHAC5uZlbTlrI01x20PUC7PuQ9LLkByXmsQn8GNixfOmZm\n5beQhXSmc8nCtiZrurDVibzF7V8k56gKHcCKnoxmZjVnDnPoQY+ScWuzdsmrk1j7kfew5M+A6yXt\nRNIVPoA9STppnFGh3MzMWuU93uMzfKZk3Pqs76v715lcxS29IPEMkivgH5ZOngwcFRF/qFRyZmar\n6iVeYju2Kxm3OZvzKq9WISOrprx7bkTE/cD9FczFzKws/spf2Y/9SsbtwA48x3NVyMiqrabu52Zm\n1lp3cVeuwjaUoS5sdczFzczqxk/5KcdybMm4QziEx3m8ChlZW3FxM7O68G2+zQhGlIw7juN4gAeq\nkJG1pdzn3MzMatXBHMyf+FPJuBGM4L/57ypkZG3Nxc3M2rUd2IEXeKFk3LVcy1mcVYWMrBa05MLJ\np0l6SdICSZuk00ZIOqpy6ZmZNW8Qg3IVtnu514Wtg8lV3CR9B/gBMIoVd6wGmAKcXoG8zMyK6kEP\npue4L/ATPMHhHF6FjKyW5N1zOwU4MSJGAksy0/8ObFv2rMzMmrGEJazGaixkYcnY13iNIQypQlZW\na/Kec9uQ5P5qhRYD3cuXjplZ897nfQYwIFfsLGbRj34VzshqVd49tzeBnZqY/iXg5fKlY2bWtElM\nylXYhFjMYhe2Dq4lF06+QVIPknNuQyR9HTgPOL5SyZmZAdzGbQxneMm4bnTLdbjS6l/eCyf/WlJn\n4HKgBzCGpDPJmRFxdwXzM7MO7kzO5HquLxnXn/7MZGYVMrL2oGRxk9QJ2Aq4MyJukdQf6BQRMyqe\nnZl1aHuxFxOYUDJuW7blxSa7BVhHleecWwDPAesARMT7LmxmVmnrsE6uwnYIh7iw2aeULG4REcAr\nkLOLkplbWKVhAAAY8UlEQVRZK3WlK9OYVjLu+3zf14m0JuXtLXkecJWkHSWpZLSZ2SqYxSyEWMSi\nkrG/43dcxmVVyMrao7y9JX8HdAMmAUskfZKdGRG9y52YmXUsf+NvDGVortiXeIlt2KbCGVl7lre4\n+RJbZlYxl3M5F3Jhrtg5zKE3/j5txeUdCnBbpRMxs45pGMN4lEdLxnWlKx/zcRUysnrQ4lveSBoE\nrJ6dFhH/KltGZtZhrM3azKB05+v1WZ93ebcKGVm9yFXcJPUBrgOOoqCwpVYrZ1JmVt8Ws5hudGMZ\ny0rG7sd+ufbszLLy9pb8GbADcCjwMfBV4FzgPeDoyqRmZvXoJV5idVbPVdgu4iIXNlsleYvbQcAZ\nETEWWApMioirgRHAyZVKTtL3JYWkGzLTJOliSVMlLZQ0XtK2Bcv1kzRG0pz0MUZS34KY7SU9lrYx\nRdJFhcMcJB0u6WVJn6TPXymYXzIXM1vhaq5mO7bLFTuOcVzCJRXOyOpV3uLWF3gnfT0HWCt9/SSw\ne7mTApC0G3AifOo2u+cB5wBnALsAM4BxktbIxNxJcheDg4AD09djMm33BsYB09M2ziTZEz07EzME\nuBu4A9gxfb5H0q4tzMXMgH3Yh3M4J1fsTGayP/tXOCOrZ3mL2xvAJunrycAx6V7OYcCscieVnuO7\nAzgB+DAzXcB3gCsi4r6IeBE4DliD5FApkrYmKWgnRcQTEfEkyd7llyVtmTb1NZILQB8XES9GxH3A\nT4GzM3tv3wH+LyIui4jJEXEZMD6dnisXM0v0pS/jGV8yritdCYL+9K98UlbX8ha30cBn09dXkBSL\nRcBVJEWh3EYB90bEXwumbwwMAh5pnBARC4HHWbEHOQSYBzyRWW4iML8gZkK6bKOxwLrARpmYR1jZ\n2EwbeXIx69AarzgyhzklYzdnc3f1t7LJVdwi4pqIuC59/VeSuwQcDewYETcUXbiFJJ0IbAb8sInZ\ng9Ln6QXTp2fmDQJmptfEJM05SA4ZZmOaaoMcMYMK4orFrETSSZIaJDXMnOlbc1h9u5d7WWv5GYzi\nvsk3eZVXK5yRdSQtHucGy8e1lX1sW3rY8HJgaEQUu7hcFLxXwbTC+Xli1MT0UuvJG5MERowi2Stl\n8ODBTcaY1YPDOIz7uT9X7L3cy+EcXuGMrKPJO87t7GLz056T5TAE6A+8mOm4uBqwl6RTgMaeiINg\npRGdA1mxBzUNGChJjXtv6fmxAQUxhXtXA9PnUjHZ+aVyMetw1mItZuU8FT+d6Qxc/l/PrHzy7rmd\nUfC+C8n93RaSHO4rV3H7PdBQMO3XwGske3SvkhSVYcAzAJK6AUNJejtC0oOzF0mhbDzvNgTomXn/\nJPBTSd0iovEg/zBgKvB2JmYYyXlFMjGNbbyVIxezDuN93mdAzjtj9aQn85hX4YysI8t7zm3jgsf6\nJJ0vHoecfXvzrWd22ntx+YOkI8is9H0A1wIjJB0maTuSzi7zSLr/ExGTgYeBmyXtlnbpvxl4MCJe\nSVd1J7AAGC1pO0mHkYzZuzpzrm4ksK+kCyRtJekCYJ90/eTJxayjGMWo3IVtN3ZzYbOKW6VzbgAR\nMV3ShSS3w8l3cL08rgS6AzcC/YCngAMiYm4m5msklwtr7Mn4AJk7G0TEHEnD0jYaSIYb/JzMHmhE\nPCHpGOBS4BKS4RBHR8RTLczFrK7txm48xVOlA4EruILzOb/CGZmBMp0KW76wtDPJWDDff6KFBg8e\nHA0NhUdgzdqPpSylO91ZzOJc8a/wCluwRYWzsnomaVJEDM4Tm7dDyWGFk0jOuX0bmNCy9MysvZvA\nBPZir1yx3enOfOYjVDrYrEzyHpa8t+B9ADOBv1LGc25mVvuO4Aju475csZ/n87kPWZqVU96blea9\nkomZ1akgWIM1mM/8XPHXcz2nrzjVbVZVq9yhxMw6jgYa2IVdcsd7/Jq1tbzn3C7K22BE/HjV0zGz\nWnMUR3EP9+SK7U9/ZuJLy1nby7vndiSwIcmV9Kem09YlGSv2TiYuABc3szoQBL3oxQIW5Io/gRO4\nlVsrnJVZPnnPpV0NTAI2iYgNImIDklvgPANcExHbp4/PFm3FzNqFsYylE51yF7a/83cXNqspeffc\nLgIOTS+YDCQXT5Z0DvAH4FeVSM7Mqm93dudJnswV24MezGOeu/lbzcm757Y2yZU4CnUD31XQrB58\nxEesxmq5C9thHObxa1az8ha3ccAt6bUaV0sfu5Fcs3Fc5dIzs2r4ET+iD31YxrJc8U/yZO6xbmZt\nIe9hyW8Bt5FcEX9pOq0TyZ2pT6xAXmZWJS25RU0vejEXXzrVal/euwLMjIgvAVsChwNHAFtHxJci\nwv1+zdqhR3gEodyF7TiOc2GzdqNFg7gj4jXgNUmdSc63mVk79Fk+yz/4R+74V3mVzdm8ghmZlVfR\nPTdJ+0k6qmDaCJJ7ls2W9LCkvpVM0MzK53VeRyh3YVuP9QjChc3anVKHJUcA6ze+kfR5kjtijwHO\nA3YALqxYdmZWNgdwQIuK1DVcw3u8V8GMzCqn1GHJ7UkKXKMjgSci4kQASe+S3Mzz3MqkZ2atNYMZ\nDGIQQb57N3ahC3OZS1e6Vjgzs8optefWF5iReb8H8HDm/TPAeuVOyszK41AOZW3Wzl3YDuVQFrHI\nhc3avVJ7bv8GNgXeldQV+Bzww8z8NYBPKpSbma2i6UxnHdbJXdTAnUasvpTac/szcKWkfYGfAvNZ\n+c7bnwVer1BuZrYKDubgFh2G3IZt3GnE6k6pPbeLgP8FHiXpIXlcRCzKzD8eX6HErCa8wRtsxmYt\nWmYc49if/SuUkVnbKVrcIuJ9YC9JfYB5EbG0IORIkqJnZm3o83yeZ3gmd/w6rMPU5XevMqs/ea9Q\nMqeJwkZEzCrYkzOzKnqMxxBqUWH7Lb91YbO616IrlJhZ7VibtZmxUmfm4gYwoEXxZu1Z3rsCmFmN\nuJRLEWpRoRrDGBc261C852bWTsxmNgMYwBKW5F7G59aso/Kem1k7sCu70o9+LSpsf+JPLmzWYbm4\nmdWw3/AbhHiap3Mv0zhu7SAOqmBmZrXNhyXNatBc5tKf/iyiZZ2RJzOZrdiqQlmZtR/eczOrMTux\nE73p3aLCdjiHE4QLm1mqpoqbpAskPSPpI0kzJf1R0nYFMZJ0saSpkhZKGi9p24KYfpLGSJqTPsYU\n3ndO0vaSHkvbmCLpIkkqiDlc0suSPkmfv9LSXMzyuoIrEOJZns29TFe6soAF3Mu9FczMrP2pqeIG\nfAG4Cdgd2BdYAjwqac1MzHnAOcAZwC4kdy0YJ2mNTMydwE7AQcCB6esxjTMl9Sa5bNj0tI0zSW7b\nc3YmZghwN3AHsGP6fI+kXVuYi1lRL/IiQlzABS1abhSj+JiP6U73CmVm1n4pIv9Vw6tNUi9gDnBo\nRPwx3bOaCtwQEZelMd1Jisr3IuJmSVsDLwN7RsTENGZPkgs+bxURr0g6leRC0GtHxMI05gfAqcD6\nERGS7gbWjIhhmXweBWZGxLF5cim2bYMHD46GhobyfFDWLi1hCf3pzxzmtGi57dgu9520zeqJpEkR\nMThPbK3tuRVagyTHD9P3GwODgEcaA9Li9DjJ3h7AEJLrXT6RaWciyR0NsjETGgtbaiywLrBRJuYR\nVjY200aeXFYi6SRJDZIaZs6c2dw2WwewMzvThS4tKmyrsRrTme7CZpZDrRe3kcBzwJPp+0Hp8/SC\nuOmZeYNI9q6W75Kmr2cUxDTVBjliBhXEFYtZSUSMiojBETF4wIABTYVYnTuFUxDi7/y9RctdwzUs\nYQkDGVihzMzqS80OBZB0NbAnyeHFwos2Fx5LVcG0po61lopRE9NLrSdvjHVwt3ALJ3FSi5fbiZ2Y\nxKQKZGRW32qyuEm6BjgG2Cci3szMmpY+DwLezUwfyIo9qGnAQElq3HtLz48NKIgp3Ltq/EpcKiY7\nv1Qu1sFNYAJ7sVeLl+tOd2Yyk570rEBWZvWv5g5LShoJfBXYNyL+WTD7LZKiku3k0Q0YyopzbE8C\nvUjOmTUaAvQsiBmaLttoGEkHkbczMcNY2bBMG3lysQ7qdV5nNVZbpcL2KI+ygAUubGatUFPFTdKN\nwDeBY4EPJQ1KH71g+bmza4ERkg5Lx8CNJulAcmcaMxl4GLhZ0m5pl/6bgQcj4pV0VXcCC4DRkraT\ndBgwArg6c65uJLBvOvZuK0kXAPuk68+Vi3U87/M+3ejG5mzOMpa1aNmzOIsg2I/9KpSdWcdRa4cl\nT0uf/1Iw/RLg4vT1lUB34EagH/AUcEBEzM3Efw24jhU9GR8ATm+cGRFzJA1L22gg6Y35c+DqTMwT\nko4BLk3X/wZwdEQ8lVlPnlysA/iIj1iXdZnP/BYv6/NqZuVX0+Pc6pnHudWHecxjHdZhHvNavGw/\n+jGDGXSuue+YZrWpnsa5mdWk2cymF71YgzVaXNi60IWpTGUWs1zYzCrExc2sBaYwhW50ox/9VukQ\n5EQmsohFrMM6FcjOzBq5uJnl8CzP0oUurM/6fMInLV7+Tu4kCHZv+uI1ZlZmLm5mRdzDPQixEzu1\n6C7Yja7iKoLgWI6tQHZm1hwXN7MmjGAEQhzFUau0/Pf5PkHwPb5X5szMLA+fzTbL2J3deXL5pUxb\n7lzO5UquLGNGZrYqXNysw5vNbDZhEz5cfvOJljuf87mCK8qYlZm1hg9LWof1G36DEP3ot8qF7Qqu\nIAgXNrMa4z0363D2Yi8mMKFVbfyaXzOc4eVJyMzKzsXNOoRJTGIP9lilbvyNOtGJ8YxnKEPLmJmZ\nVYKLm9W1AzmQsYxtVRvd6c6bvMmgpu9Ba2Y1yOfcrO48xEN0pjNCrSpsG7MxS1nKAha4sJm1My5u\nVhfmMpcN2RAhvsyXWUrhzdvzO5ZjCYI3eZNO/i9i1i75f661a1/mywjRm978i3+tcjtC/J7fEwR3\n+nZ8Zu2ez7lZu/Ndvsu1yT1jW21d1uUN3qAb3UoHm1m74T03axcu4RI60QmhshS27/Jdglh+lX8z\nqy/ec7OadSZncj3Xl629vvRlMpPdOcSsA/Cem9WMpSxlGMNQ+q9cha3xIsYf8qELm1kH4T03a1Mv\n8AIHcADTmV7WdrdiK57neVZn9bK2a2btg/fcrKqWsYzhDF9+/mwHdihbYetJT57iKYJgMpNd2Mw6\nMBc3q7hRjKIXvRBiNVbjNm4jiLK0vRqr8Qt+QRDMYx6f5/NladfM2jcXNyu7W7mVvvRdfu7sZE5m\nPvPLuo4RjCAIlrCEkzm5rG2bWfvnc27WKotYxGmcxm/4TasuSlyKEN/je74RqJnl4j03a5HRjGZd\n1l2+V9aVrvySX1aksHWmM9dwDUGwjGUubGaWm/fcrEmf8Ak/4Sf8gl/wAR9Ubb396MdDPMQQhlRt\nnWZWf1zcOrgFLOBarmUUo3iHd9okh/3Yj4d4iK50bZP1m1n9cXHrAN7mbW7iJu7nft7hHRazuE3z\n6U9/7uIu9mO/Ns3DzOqXi1s79jqv8xAP8Vf+yvM8zwxmsJCFbZ3Wp/SiF5dwCWdzdlunYmYdhItb\nGUg6DTgXWAd4CfhOREwotszzPE9f+rKMZSxN/y1hyfLOE+1ZH/pwOZdzGqe1dSpm1kG5uLWSpKOB\nkcBpwN/S5z9L2iYimr3B2BKWMIc5VcqysrZne27ndnZkx7ZOxcwM8FCAcjgbGB0Rt0TE5Ig4A/g3\ncGob51UR67M+oxlNZP69wAsubGZWU1zcWkHS6sDOwCMFsx4Bdq9+RuXThS7sxm5MZOJKhexd3uU4\njmvr9MzMivJhydbpD6wGn7ry73Rg/8JgSScBJ6VvP0G8WNn0Vt1iFvP/+H/swR7larI/8H65Gmsn\nvM0dg7e5ejbMG+jiVh6FVwFWE9OIiFHAKABJDRExuAq51YSOtr3gbe4ovM21yYclW+d9YCl86g6Y\nA/n03pyZmVWJi1srRMQiYBIwrGDWMOCJ6mdkZmbgw5LlcDUwRtLTwETgFGBd4BcllhtV6cRqTEfb\nXvA2dxTe5hqkiPLcNLIjSwdxn0cyiPtF4LsR8XjbZmVm1nG5uJmZWd3xOTczM6s7Lm5mZlZ3XNyq\nTNJpkt6S9LGkSZKGtnVOq0LSBZKekfSRpJmS/ihpu4IYSbpY0lRJCyWNl7RtQUw/SWMkzUkfYyT1\nre7WrBpJ35cUkm7ITKu7bZa0jqTb0p/zx5JelrR3Zn5dbbOk1ST9JPP/9C1Jl0rqnIlp19ssaS9J\nD0iakv4ODy+YX5btk7S9pMfSNqZIukiSqrCJEBF+VOkBHA0sBk4EtgauB+YBG7R1bquwLWOBbwLb\nAdsD9wPTgDUzMecDc4HD07jfAVOBNTIxfya5k8LuwJD09R/bevtybP9uwFvA88AN9brNQF/gTeB2\n4PPAxsB+wNZ1vM3fB2YBhwAbAf8BfAj8sF62GfgScDlwBLAAGF4wv9XbB/RO/yb8Lm3j8LTNc6qy\njW39IXekB/AUcEvBtNeA/27r3Mqwbb1IBrQfkr4XyQWkL8zEdE9/uU9O329NciWXPTIxe6bTtmzr\nbSqyrX2AN4B9gfGNxa0etzn9AzixyPx63OYHgdsKpt0GPFiP20zyBXt4uX+mJBeP/wjonon5ATCF\ntDNjJR8+LFkl9XyR5dQaJIe5P0zfb0xy5Zbl2xsRC4HHWbG9Q0j+Y2UHvE8E5lPbn8ko4N6I+GvB\n9Hrc5kOBpyTdLWmGpOcknZ45tFSP2/w3YB9JWwFI2obki8yf0vn1uM1Z5dq+IcCEdNlGY0nGAW9U\nicSzXNyqp9hFlgsv39UejQSeA55M3zduU7HtHQTMjPQrHUD6egY1+plIOhHYDPhhE7PrcZs3IblH\n4ZvAF0l+zlcA307n1+M2/xQYA7wsaTHJ4bbbIuKmdH49bnNWubZvUDNtZNdRMb5CSfXlushyeyLp\napJDEntGxNKC2aW2t6ltr8nPRNKWJIfphkZy6bXm1M02k3wBboiIC9L3z0ranKS43ZCJq6dtPhr4\nBvBVksK2IzBS0lsR8ctMXD1tc1PKsX1NtdHcsmXlPbfqqcuLLEu6BjgW2Dci3szMmpY+F9veacDA\nbO+p9PUAavMzGUKyB/6ipCWSlgB7A6elrz9I4+ppm/8NvFwwbTKwQfq6Hn/OVwE/i4i7IuIfETGG\n5DJ7jQW+Hrc5q1zbN62ZNqAKn4GLW5VEHV5kWdJIkm+3+0bEPwtmv0Xyyz0sE98NGMqK7X2SpCPK\nkMxyQ4Ce1OZn8nuSnqE7Zh4NwF3p61epv22eCGxZMG0L4J30dT3+nHuQfBHNWsqKv5f1uM1Z5dq+\nJ4Gh6bKNhpH0uny7EomvpK176nSkB8nhjkXAt0h6G40kOSm7YVvntgrbciNJT6h9Sb6dNT56ZWLO\nT2MOI+kKfBdNdyf+B0nX+iHp65roLp3zcxjPp4cC1M02A7uQDF+5kORc45HAHODbdbzNo4H3gINJ\nOj58BZgJ/LxetpmkMDV+QVsAXJS+3qBc20fSq3hauux2aVsf4aEA9fkgOTn/NvAJyZ7cXm2d0ypu\nRzTzuDgTI+BikkNbHwOPAdsVtLMm8Jv0l/6j9HXftt6+FnwOhcWt7rY5/SP/fLo9rwJnkunKXW/b\nTNLz91qSvdOFJJ1pLge61cs2A19o5v/v6HJuH8mRjsfTNv4N/Cj7u1PJhy+cbGZmdcfn3MzMrO64\nuJmZWd1xcTMzs7rj4mZmZnXHxc3MzOqOi5uZmdUdFzczA0DStyTNbus8zMrBxc2snVNyF/RHm5m3\ndXqn5cLLvpnVNRc3s/bvVmBfSRs1Me8Ekitt/KWaCZm1NRc3s/bvIZKrrH8zO1FSF+DrwK8iYpmk\nn0l6VdJCSW9JukJS1+YalXSppOcKpn3q0KWk/5T0d0kfS3pT0k/Sm/OatRkXN7N2LiKWALcBwyVl\n/08fQnKLnl+n7z8ChpNctPt04L+AEa1Zt6QvAbcD1wHbklwU/Bjgx61p16y1XNzM6sMvSe6xtn9m\n2gnAIxHxLkBE/DginoiItyPiIZI7ah/byvX+ALgiIkZHxBsR8VeS+56d2sp2zVrFd+I2qwMR8Zqk\nx4HjgUckrQt8keQ2SwBIOprkiv6bktzypDOwrJWr3hn4nKQLM9M6Ad0lDYiIma1s32yVuLiZ1Y9b\ngVskrUly+HEW8ACApD2BO0huOfIIMJvkPmWXF2lvGcmtT7K6FLxX2ub/NrH8rJalb1Y+Lm5m9eNe\n4HqSc2nHA7dHxOJ03h7AOxFxWWNwM70rs2YCgyQpVtwba8eCmGeBLSPi9VbmblZWLm5mdSIiFkq6\nk+Qmk/1IzsM1ehXYQNKxwNPAQcBRJZr8P5K7xZ8v6R6Su65/pSDmEuAPkt4F7gGWktygcueIaFVn\nFbPWcIcSs/pyK0lheyIiJjdOjIj7gWtIejU+R3In5h8VaygiXiTpVXka8AKwD0knlGzMn0h6ZQ4D\nniEpnOcB/yrL1pitIt+J28zM6o733MzMrO64uJmZWd1xcTMzs7rj4mZmZnXHxc3MzOqOi5uZmdUd\nFzczM6s7Lm5mZlZ3/j+ePfRphcoTnAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f608ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(1,1001))\n",
"y_values=[x**2 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c=(0,1,0),edgecolor='none', s=40) #RGB (0,0,0) 1-light, 0-dark\n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"\n",
"#Set range for each axis\n",
"plt.axis([0,1100,0,1100000])\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using a Colormap"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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sl6TxkmZJqpH0hKRtso4xQNIESYviY4Kk/llltpP0ZDzGJ5LOVap9IV3mu/H9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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f6946d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(1,1001))\n",
"y_values=[x**2 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c=y_values, cmap=plt.cm.Blues, edgecolor='none', s=40) \n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"\n",
"#Set range for each axis\n",
"plt.axis([0,1100,0,1100000])\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#Saving your plots automatically\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(1,1001))\n",
"y_values=[x**2 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c=y_values, cmap=plt.cm.Blues, edgecolor='none', s=40) \n",
"\n",
"#Set chart title and label axes.\n",
"plt.title(\"Square Numbers\", fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Square of Value\", fontsize=14)\n",
"\n",
"#Set size of tick labels\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"\n",
"#Set range for each axis\n",
"plt.axis([0,1100,0,1100000])\n",
"\n",
"plt.savefig('squares_plot.png', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercises\n",
"\n",
"## Exercise 15-1 Cubes"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7YMOFpKlSIA1C/EreQZmZWWOqNqm8BpRWX3weKC3xuwppBLyZmVnVHfX/Q+pLeQS4BrhA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\n46RiZma5cVIxM7PcOKmYmVlu/j9uobqYtORswgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f1b79b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(0,6))\n",
"y_values=[x**3 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c='red', edgecolor='none', s=40)\n",
"\n",
"plt.title(\"Cubes\",fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Cube of Value\", fontsize=14)\n",
"\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"plt.axis([0,5,0,150])\n",
"plt.show()\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/A+vWyrnwgJ9mZlY1dXVPx8zMapuTjpmZVY2TjpmZVY2TjpmZVY2T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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f646550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(0,5000))\n",
"y_values=[x**3 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c='green', edgecolor='none', s=10)\n",
"\n",
"plt.title(\"Cubes\",fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Cube of Value\", fontsize=14)\n",
"\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"plt.axis([0,5000,0,100000000000])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercise 15-2 Colored Cubes"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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phVqUf2V07P+5HKOygZA0MyIm1+v8PdZ0IsKzippZj4qLFsLtPy8XlEYc2Pfw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\n+f+1nBlrEJyG9wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f140240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"x_values=list(range(0,5000))\n",
"y_values=[x**3 for x in x_values]\n",
"\n",
"plt.scatter(x_values, y_values, c=y_values, cmap=plt.cm.Reds, edgecolor='none', s=10)\n",
"\n",
"plt.title(\"Cubes\",fontsize=24)\n",
"plt.xlabel(\"Value\", fontsize=14)\n",
"plt.ylabel(\"Cube of Value\", fontsize=14)\n",
"\n",
"plt.tick_params(axis='both',labelsize=14)\n",
"plt.axis([0,5000,0,100000000000])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Walk"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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M8vf1nrhEQFVUxsxcEkKo+5qZy04B1b93UVRGZ2swbtDcAIXJQm9kjB9+v+go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\nAKcujWHbwT5XY9fLatsZcU2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"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f32f7f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): y\n"
]
},
{
"data": {
"image/png": 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R0VyLjua6rJ/twu+d9755j+61y1VR9UgYuAIbqiM4+sAa00lIeVjG2cfW2bom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\n+MqqdFGWkBYoXkR6pUDgMYVo86ilMizj6ANrDHP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"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f1bf7b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): y\n"
]
},
{
"data": {
"image/png": 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3VemzFKhNgYLgZYCF+KRcJFeKe4l6IGfx68IkbhShPXN7p9Wcvtp8xiId8Ozl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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f284358>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): n\n"
]
}
],
"source": [
"from random import choice\n",
"\n",
"class RandomWalk():\n",
" \"\"\"A class to generate random walks.\"\"\"\n",
" \n",
" def __init__(self,num_points=5000):\n",
" \"\"\"Initialize attributes of a walk.\"\"\"\n",
" self.num_points= num_points\n",
" \n",
" #All walks start at (0.0).\n",
" self.x_values=[0]\n",
" self.y_values=[0]\n",
" \n",
" def fill_walk(self):\n",
" \"\"\"Calculate all the points in the walk.\"\"\"\n",
" \n",
" while len(self.x_values)<self.num_points:\n",
" x_direction = choice([1,-1])\n",
" x_distance = choice([0,1,2,3,4])\n",
" x_step=x_direction*x_distance\n",
" \n",
" y_direction=choice([1,-1])\n",
" y_distance=choice([0,1,2,3,4])\n",
" y_step=y_direction*y_distance\n",
" \n",
" if x_step==0 and y_step==0:\n",
" continue\n",
" \n",
" next_x=self.x_values[-1]+x_step\n",
" next_y=self.y_values[-1]+y_step\n",
" \n",
" self.x_values.append(next_x)\n",
" self.y_values.append(next_y)\n",
" \n",
"import matplotlib.pyplot as plt\n",
"\n",
"#Make a random walk, and plot the points.\n",
"while True:\n",
" rw= RandomWalk()\n",
" rw.fill_walk()\n",
" plt.scatter(rw.x_values,rw.y_values, s=15)\n",
" plt.show()\n",
" \n",
" keep_running=input(\"Make another walk? (y/n): \")\n",
" if keep_running =='n':\n",
" break\n"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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itsTdWtF76eyZnhs23Zgaszjmz6pOCKgeOTVmeu8Zfgnt8xJdW5lgdJOFgj7I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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f248390>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): y\n"
]
},
{
"data": {
"image/png": 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1VndORcBPa+M8WhtrqAj4WbawdtYOsjplnft8FzZw9nx48ncOke6dnsMjkzn4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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f5efa58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): n\n"
]
}
],
"source": [
"from random import choice\n",
"\n",
"class RandomWalk():\n",
" \"\"\"A class to generate random walks.\"\"\"\n",
" \n",
" def __init__(self,num_points=5000):\n",
" \"\"\"Initialize attributes of a walk.\"\"\"\n",
" self.num_points= num_points\n",
" \n",
" #All walks start at (0.0).\n",
" self.x_values=[0]\n",
" self.y_values=[0]\n",
" \n",
" def fill_walk(self):\n",
" \"\"\"Calculate all the points in the walk.\"\"\"\n",
" \n",
" while len(self.x_values)<self.num_points:\n",
" x_direction = choice([1,-1])\n",
" x_distance = choice([0,1,2,3,4])\n",
" x_step=x_direction*x_distance\n",
" \n",
" y_direction=choice([1,-1])\n",
" y_distance=choice([0,1,2,3,4])\n",
" y_step=y_direction*y_distance\n",
" \n",
" if x_step==0 and y_step==0:\n",
" continue\n",
" \n",
" next_x=self.x_values[-1]+x_step\n",
" next_y=self.y_values[-1]+y_step\n",
" \n",
" self.x_values.append(next_x)\n",
" self.y_values.append(next_y)\n",
" \n",
"import matplotlib.pyplot as plt\n",
"\n",
"#Make a random walk, and plot the points.\n",
"while True:\n",
" rw= RandomWalk()\n",
" rw.fill_walk()\n",
" plt.scatter(rw.x_values,rw.y_values, s=15)\n",
" plt.scatter(0,0,c='green',edgecolor='none',s=100)\n",
" plt.scatter(rw.x_values[-1],rw.y_values[-1], c='red',edgecolor='none',s=100)\n",
" \n",
" plt.show()\n",
" \n",
" keep_running=input(\"Make another walk? (y/n): \")\n",
" if keep_running =='n':\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Gxaqn6nmpt7MFj3zmt/HFo6ezhgcU6h0tCUBjOAQNGtPqLLAfsge86tEbDUt48f4tBccF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\nExEFBAMyEVFAMCATEQUEAzIRUUD8f1UZCEML7s+lAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f50b0f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): n\n"
]
}
],
"source": [
"from random import choice\n",
"\n",
"class RandomWalk():\n",
" \"\"\"A class to generate random walks.\"\"\"\n",
" \n",
" def __init__(self,num_points=5000):\n",
" \"\"\"Initialize attributes of a walk.\"\"\"\n",
" self.num_points= num_points\n",
" \n",
" #All walks start at (0.0).\n",
" self.x_values=[0]\n",
" self.y_values=[0]\n",
" \n",
" def fill_walk(self):\n",
" \"\"\"Calculate all the points in the walk.\"\"\"\n",
" \n",
" while len(self.x_values)<self.num_points:\n",
" x_direction = choice([1,-1])\n",
" x_distance = choice([0,1,2,3,4])\n",
" x_step=x_direction*x_distance\n",
" \n",
" y_direction=choice([1,-1])\n",
" y_distance=choice([0,1,2,3,4])\n",
" y_step=y_direction*y_distance\n",
" \n",
" if x_step==0 and y_step==0:\n",
" continue\n",
" \n",
" next_x=self.x_values[-1]+x_step\n",
" next_y=self.y_values[-1]+y_step\n",
" \n",
" self.x_values.append(next_x)\n",
" self.y_values.append(next_y)\n",
" \n",
"import matplotlib.pyplot as plt\n",
"\n",
"#Make a random walk, and plot the points.\n",
"while True:\n",
" rw= RandomWalk()\n",
" rw.fill_walk()\n",
" plt.scatter(rw.x_values,rw.y_values, s=15)\n",
" plt.scatter(0,0,c='green',edgecolor='none',s=100)\n",
" plt.scatter(rw.x_values[-1],rw.y_values[-1], c='red',edgecolor='none',s=100)\n",
" \n",
" #Remove axes\n",
" plt.axes().get_xaxis().set_visible(False)\n",
" plt.axes().get_yaxis().set_visible(False)\n",
" \n",
" plt.show()\n",
" \n",
" keep_running=input(\"Make another walk? (y/n): \")\n",
" if keep_running =='n':\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zy58cfmu+2tOLJey9IbYnliYNEr9xcJrlist/fnWdpbLDbNGi4pr8Ya1HxTGw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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2aa7f50b438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Make another walk? (y/n): n\n"
]
}
],
"source": [
"from random import choice\n",
"\n",
"class RandomWalk():\n",
" \"\"\"A class to generate random walks.\"\"\"\n",
" \n",
" def __init__(self,num_points=5000):\n",
" \"\"\"Initialize attributes of a walk.\"\"\"\n",
" self.num_points= num_points\n",
" \n",
" #All walks start at (0.0).\n",
" self.x_values=[0]\n",
" self.y_values=[0]\n",
" \n",
" def fill_walk(self):\n",
" \"\"\"Calculate all the points in the walk.\"\"\"\n",
" \n",
" while len(self.x_values)<self.num_points:\n",
" x_direction = choice([1,-1])\n",
" x_distance = choice([0,1,2,3,4])\n",
" x_step=x_direction*x_distance\n",
" \n",
" y_direction=choice([1,-1])\n",
" y_distance=choice([0,1,2,3,4])\n",
" y_step=y_direction*y_distance\n",
" \n",
" if x_step==0 and y_step==0:\n",
" continue\n",
" \n",
" next_x=self.x_values[-1]+x_step\n",
" next_y=self.y_values[-1]+y_step\n",
" \n",
" self.x_values.append(next_x)\n",
" self.y_values.append(next_y)\n",
" \n",
"import matplotlib.pyplot as plt\n",
"\n",
"#Make a random walk, and plot the points.\n",
"while True:\n",
" rw= RandomWalk(50000)\n",
" rw.fill_walk()\n",
" \n",
" plt.figure(figsize=(10,6))\n",
" point_numbers=list(range(rw.num_points))\n",
" plt.scatter(rw.x_values, rw.y_values, c=point_numbers, cmap=plt.cm.Blues,edgecolor='none',s=1)\n",
" \n",
" #Remove axes\n",
" plt.axes().get_xaxis().set_visible(False)\n",
" plt.axes().get_yaxis().set_visible(False)\n",
" \n",
" plt.show()\n",
" \n",
" keep_running=input(\"Make another walk? (y/n): \")\n",
" if keep_running =='n':\n",
" break"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rolling Dice with Pygal"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[181, 158, 170, 147, 179, 165]\n"
]
}
],
"source": [
"from random import randint\n",
"\n",
"class Die():\n",
" \"\"\"A class representing a single die.\"\"\"\n",
" \n",
" def __init__(self,num_sides=6):\n",
" \"\"\"Assume a six-sided die.\"\"\"\n",
" self.num_sides= num_sides\n",
" \n",
" def roll(self):\n",
" \"\"\"Return a random value between 1 and number of sides.\"\"\"\n",
" return randint(1, self.num_sides)\n",
" \n",
"die=Die()\n",
"results=[]\n",
"\n",
"for roll_num in range(1000):\n",
" result=die.roll()\n",
" results.append(result)\n",
"\n",
"#Analyze the results.\n",
"frequencies=[]\n",
"for value in range(1, die.num_sides+1):\n",
" frequency=results.count(value)\n",
" frequencies.append(frequency)\n",
"\n",
"print(frequencies)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Making a Histogram"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solving environment: ...working... done\n",
"\n",
"## Package Plan ##\n",
"\n",
" environment location: C:\\Users\\Smitha\\Anaconda3\n",
"\n",
" added / updated specs: \n",
" - numpy\n",
"\n",
"\n",
"The following packages will be downloaded:\n",
"\n",
" package | build\n",
" ---------------------------|-----------------\n",
" ca-certificates-2018.03.07 | 0 155 KB\n",
" certifi-2018.10.15 | py36_0 138 KB\n",
" openssl-1.0.2p | hfa6e2cd_0 5.4 MB\n",
" ------------------------------------------------------------\n",
" Total: 5.7 MB\n",
"\n",
"The following packages will be UPDATED:\n",
"\n",
" ca-certificates: 2017.08.26-h94faf87_0 --> 2018.03.07-0 \n",
" certifi: 2017.7.27.1-py36h043bc9e_0 --> 2018.10.15-py36_0\n",
" openssl: 1.0.2l-vc14hcac20b0_2 --> 1.0.2p-hfa6e2cd_0\n",
"\n",
"\n",
"Downloading and Extracting Packages\n",
"Preparing transaction: ...working... done\n",
"Verifying transaction: ...working... done\n",
"Executing transaction: ...working... done\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"ca-certificates-2018 | 155 KB | | 0% \n",
"ca-certificates-2018 | 155 KB | 7 | 8% \n",
"ca-certificates-2018 | 155 KB | #######5 | 75% \n",
"ca-certificates-2018 | 155 KB | ########## | 100% \n",
"\n",
"certifi-2018.10.15 | 138 KB | | 0% \n",
"certifi-2018.10.15 | 138 KB | 8 | 9% \n",
"certifi-2018.10.15 | 138 KB | #########5 | 95% \n",
"certifi-2018.10.15 | 138 KB | ########## | 100% \n",
"\n",
"openssl-1.0.2p | 5.4 MB | | 0% \n",
"openssl-1.0.2p | 5.4 MB | 3 | 3% \n",
"openssl-1.0.2p | 5.4 MB | # | 11% \n",
"openssl-1.0.2p | 5.4 MB | #8 | 19% \n",
"openssl-1.0.2p | 5.4 MB | ##7 | 27% \n",
"openssl-1.0.2p | 5.4 MB | ###5 | 36% \n",
"openssl-1.0.2p | 5.4 MB | ####5 | 46% \n",
"openssl-1.0.2p | 5.4 MB | #####3 | 53% \n",
"openssl-1.0.2p | 5.4 MB | ###### | 61% \n",
"openssl-1.0.2p | 5.4 MB | ######9 | 69% \n",
"openssl-1.0.2p | 5.4 MB | #######6 | 77% \n",
"openssl-1.0.2p | 5.4 MB | ########2 | 82% \n",
"openssl-1.0.2p | 5.4 MB | ########6 | 86% \n",
"openssl-1.0.2p | 5.4 MB | ########9 | 89% \n",
"openssl-1.0.2p | 5.4 MB | #########1 | 91% \n",
"openssl-1.0.2p | 5.4 MB | #########2 | 93% \n",
"openssl-1.0.2p | 5.4 MB | #########4 | 94% \n",
"openssl-1.0.2p | 5.4 MB | #########5 | 95% \n",
"openssl-1.0.2p | 5.4 MB | #########6 | 96% \n",
"openssl-1.0.2p | 5.4 MB | #########7 | 97% \n",
"openssl-1.0.2p | 5.4 MB | #########7 | 98% \n",
"openssl-1.0.2p | 5.4 MB | #########8 | 98% \n",
"openssl-1.0.2p | 5.4 MB | #########8 | 99% \n",
"openssl-1.0.2p | 5.4 MB | #########9 | 100% \n",
"openssl-1.0.2p | 5.4 MB | ########## | 100% \n"
]
}
],
"source": [
"# Install a conda package in the current Jupyter kernel\n",
"import sys\n",
"!conda install --yes --prefix {sys.prefix} numpy"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Collecting pygal\n",
" Using cached https://files.pythonhosted.org/packages/5f/b7/201c9254ac0d2b8ffa3bb2d528d23a4130876d9ba90bc28e99633f323f17/pygal-2.4.0-py2.py3-none-any.whl\n",
"Installing collected packages: pygal\n",
"Successfully installed pygal-2.4.0\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"You are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'python -m pip install --upgrade pip' command.\n"
]
}
],
"source": [
"# Install a pip package in the current Jupyter kernel\n",
"import sys\n",
"!{sys.executable} -m pip install pygal"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Collecting pygame\n",
" Downloading https://files.pythonhosted.org/packages/45/34/38e7465c1aea7d570b83d9004eb0c4e783c9c1b17eb9eeb9a760c0898783/pygame-1.9.4-cp36-cp36m-win_amd64.whl (4.2MB)\n",
"Installing collected packages: pygame\n",
"Successfully installed pygame-1.9.4\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"You are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'python -m pip install --upgrade pip' command.\n"
]
}
],
"source": [
"# Install a pip package in the current Jupyter kernel\n",
"import sys\n",
"!{sys.executable} -m pip install pygame"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pygal\n",
"from random import randint\n",
"\n",
"class Die():\n",
" \"\"\"A class representing a single die.\"\"\"\n",
" \n",
" def __init__(self,num_sides=6):\n",
" \"\"\"Assume a six-sided die.\"\"\"\n",
" self.num_sides= num_sides\n",
" \n",
" def roll(self):\n",
" \"\"\"Return a random value between 1 and number of sides.\"\"\"\n",
" return randint(1, self.num_sides)\n",
" \n",
"die=Die()\n",
"results=[]\n",
"\n",
"for roll_num in range(1000):\n",
" result=die.roll()\n",
" results.append(result)\n",
"\n",
"#Analyze the results.\n",
"frequencies=[]\n",
"for value in range(1, die.num_sides+1):\n",
" frequency=results.count(value)\n",
" frequencies.append(frequency)\n",
"\n",
"hist =pygal.Bar()\n",
"\n",
"hist.title=\"Results of rolling one D6 1000 times.\"\n",
"hist.x_labels=['1','2','3','4','5','6']\n",
"hist.x_title=\"Result\"\n",
"hist.y_title=\"Frequency of Result\"\n",
"\n",
"hist.add('D6', frequencies)\n",
"hist.render_to_file('die_visual.svg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rolling two Dice"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pygal\n",
"from die import Die\n",
"\n",
"#Create two Dice\n",
"die_1=Die()\n",
"die_2=Die()\n",
"\n",