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@afrozhie
Created February 26, 2024 15:31
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Exercise for issues 6
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "e6799201-fc55-4394-b947-d541a8a8208e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x = [10, 20, 40, 40, 40, 60, 70, 20, 40, 40, 40, 40, 40, 60, 10, 20, 30, 40, 50, 60, 70, 70, 20, 30, 40, 50, 70, 20]\n",
"\n",
"N = 28\n"
]
}
],
"source": [
"x = [\n",
" 10, 20, 40, 40, 40, 60, 70,\n",
" 20, 40, 40, 40, 40, 40, 60,\n",
" 10, 20, 30, 40, 50, 60, 70,\n",
" 70, 20, 30, 40, 50, 70, 20,\n",
"]\n",
"print('x =', x)\n",
"print()\n",
"print('N =', len(x))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1b6007b3-8a3a-4fe3-9e37-0cd2291b0515",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 10, 20, 20, 20, 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 50, 50, 60, 60, 60, 70, 70, 70, 70]\n"
]
}
],
"source": [
"y = sorted(x)\n",
"print(y)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "bf53410d-051f-43d6-9fe8-ac5c7ff1d081",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"range = 60\n"
]
}
],
"source": [
"rng = y[-1] - y[0]\n",
"print('range =', rng)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e2f0d5a6-5c37-4492-8138-6160fcb3f580",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"range = 10\n"
]
}
],
"source": [
"rng = x[-1] - y[0]\n",
"print('range =', rng)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "68944dc2-40af-4364-8fb5-c44983084cc8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 20, 40, 40, 40, 60, 70, 20, 40, 40, 40, 40, 40, 60, 10, 20, 30, 40, 50, 60, 70, 70, 20, 30, 40, 50, 70, 20]\n"
]
}
],
"source": [
"print(x)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "00abfe53-39a5-4b7c-b6fb-9ce6075b379c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mid value = 35.0\n"
]
}
],
"source": [
"mid = (x[13] + x[14]) / 2\n",
"print('mid value =', mid)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "28f28403-7f3d-43f4-b83e-f47b32f3448d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"40.0\n"
]
}
],
"source": [
"import statistics as stat\n",
"print(stat.median(x))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "30f0f7c2-463e-4aa6-acdf-8dd34cf08a18",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 10, 20, 20, 20, 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 50, 50, 60, 60, 60, 70, 70, 70, 70]\n"
]
}
],
"source": [
"y = sorted(x)\n",
"print(y)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "237f6727-2ce3-4bdd-ae21-d1a9203cf7d7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"median = 40.0\n"
]
}
],
"source": [
"med = (y[13] + y[14]) / 2\n",
"print('median =', med)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ac9a837e-bb01-47f8-9b19-ea8a9b987a54",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"40.0\n"
]
}
],
"source": [
"print(stat.median(y))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fd45b5a6-5813-41ac-afc9-eefcba414eab",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean = 40.714285714285715\n",
"40.714285714285715\n"
]
}
],
"source": [
"sx = sum(x)\n",
"N = len(x)\n",
"mean = sx / N\n",
"print('mean =', mean)\n",
"print(stat.mean(x))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "01659c30-e765-4689-82f0-d328240a0d88",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean = 40.714285714285715\n",
"40.714285714285715\n"
]
}
],
"source": [
"sy = sum(y)\n",
"N = len(y)\n",
"mean = sy / N\n",
"print('mean =', mean)\n",
"print(stat.mean(y))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "c6da67fa-bdaa-4912-bcf4-106c40357ea6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 10, 20, 20, 20, 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 50, 50, 60, 60, 60, 70, 70, 70, 70]\n",
"mode = 40\n",
"40\n"
]
}
],
"source": [
"y = sorted (x)\n",
"print(y)\n",
"print('mode =', stat.mode(x))\n",
"print(stat.mode(y))"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c14fe185-faaf-4de5-9c00-7fe6523439a9",
"metadata": {},
"outputs": [],
"source": [
"#Exercise 1\n",
"\n",
"- the different is\n",
"\n",
" Median:\n",
"The median is the central value in a sorted dataset.\n",
"To find the median, you arrange the data in ascending or descending order. \n",
"If you have an odd number of elements, the median is the middle value.\n",
"For example, consider the set {1, 3, 5, 7, 9}. Here, the median is 5, which is the middle value after sorting the data.\n",
"\n",
" Middle Value:\n",
"The middle value simply refers to the value located in the middle position of a sorted dataset.\n",
"However, the concept of \"middle\" becomes ambiguous when the dataset has an even number of elements. \n",
"In this case, there are two values in the \"middle\" positions.\n",
"\n",
"- are mean and mode values always same\n",
"\n",
"No, the mean and mode values are not always the same for unsorted and sorted datasets.\n",
"\n",
"Here's why:\n",
"\n",
" Mean:\n",
"The mean is calculated by adding all values in a dataset and dividing by the number of elements. \n",
"This process is independent of the order of the data points, so sorting the data does not affect the mean.\n",
"\n",
" Mode:\n",
"The mode is the value that appears most frequently in a dataset. \n",
"Sorting the data can sometimes reveal the mode more easily, but it doesn't guarantee a change in its value.\n",
"\n",
"- If range is caculate with last datapoint – first datapoint, should \n",
"the dataset is sorted first or not?\n",
"\n",
"No, the dataset does not need to be sorted first to calculate the range using the formula last data point - first data point. \n",
"The order of the data points does not affect the result of this calculation.\n",
"\n",
" Here's why:\n",
"Range: The range represents the difference between the largest and smallest values in a dataset.\n",
"Formula: The formula last data point - first data point simply identifies the two extreme values (largest and smallest) in the dataset regardless of their order and calculates their difference."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "9108754d-bda2-4c42-8396-a265b5defa8b",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Histogram of x\n",
"import matplotlib.pyplot as plt\n",
"plt.hist(x, bins=7, range=[10, 80])\n",
"plt.yticks(range(0, 11,1))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "6b096b7f-c4af-4e7e-982d-3310714c4bb1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0ePBgv6cCAABZyPfwceutt+rll1/W3XffrR07dqihoUEPPfSQampq/J4KAABkId/Dx4UXXqgVK1bo8ccf19lnn6358+dryZIlmjp1qt9TAQCALOT7ez4k6corr9SVV14ZxNAAACDL8d0uAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAq3wPH3V1dYpEIh1uw4cP93saAACQpXKDGHTkyJF6/vnn/ztJbiDTAACALBRIKsjNzdWgQYOCGBoAAGS5QMLH9u3bVVxcrN69e6uiokILFy5UaWlpl31d15Xruun7iURCkuR5njzP83VdqfH8HjdbhL1+iT1I1e3kmAyvJHNStYf9DFB/OOuXgtuD7owXMcb4+ii0atUqHT58WGeddZb27t2r+vp67dmzR1u2bFGfPn069a+rq1N9fX2n9oaGBhUUFPi5NAAAEJC2tjZVVVWptbVVsVjsmH19Dx/vd/DgQQ0ePFiLFy/Wl7/85U7Xu3rmo6SkRC0tLR+6+O7yPE/xeFyVlZWKRqO+jp0NUvXXNufITUYyvZyMcHKM5pcnOQOcgdCfAeoPZ/1ScHuQSCRUWFh4XOEj8HeCnnTSSTrzzDO1Y8eOLq87jiPHcTq1R6PRwA5GkGNnAzcZkdsezl88KZwBzkDYzwD1h7t+yf896M5YgX/Ox+HDh/XGG2+oqKgo6KkAAEAW8D18fPvb31ZjY6P+9re/6aWXXtI111yjXr166fOf/7zfUwEAgCzk+8suf//73/X5z39e//znP9W/f39dfPHFevnll9W/f3+/pwIAAFnI9/CxfPlyv4cEAAA9CN/tAgAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsCrw8LFo0SJFIhHNnDkz6KkAAEAWCDR8NDU16cEHH9SoUaOCnAYAAGSRwMLH4cOHNXXqVP34xz/WySefHNQ0AAAgy+QGNXBNTY0mTZqkcePG6a677vrAfq7rynXd9P1EIiFJ8jxPnuf5uqbUeH6Pmy1SdTs5JsMryZxU7ZwBzkDYzwD1h7N+Kbg96M54EWOM749Cy5cv14IFC9TU1KTevXvr0ksv1bnnnqslS5Z06ltXV6f6+vpO7Q0NDSooKPB7aQAAIABtbW2qqqpSa2urYrHYMfv6Hj52796t8vJyxePx9Hs9jhU+unrmo6SkRC0tLR+6+O7yPE/xeFyVlZWKRqO+jp0NUvXXNufITUYyvZyMcHKM5pcnOQOcgdCfgbDXz8+A/z8DiURChYWFxxU+fH/ZZePGjTpw4IDOP//8dFt7e7vWrVunH/3oR3JdV7169UpfcxxHjuN0GicajQb2gxHk2NnATUbktofzhy6FM8AZCPsZCHv9/Az4fwa6M5bv4ePyyy/X5s2bO7RNmzZNw4cP12233dYheAAAgPDxPXz06dNHZ599doe2E044Qf369evUDgAAwodPOAUAAFYF9qe277V27Vob0wAAgCzAMx8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAq38PH0qVLNWrUKMViMcViMVVUVGjVqlV+TwMAALKU7+HjtNNO06JFi7Rx40Y1Nzfr05/+tKZMmaI///nPfk8FAACyUK7fA06ePLnD/QULFmjp0qV6+eWXNXLkSL+nAwAAWcb38PFe7e3tevLJJ3XkyBFVVFR02cd1Xbmum76fSCQkSZ7nyfM8X9eTGs/vcbNFqm4nx2R4JZmTqp0zwBkI+xkIe/38DPh/BrozXsQY4/u/wObNm1VRUaF3331XJ554ohoaGnTFFVd02beurk719fWd2hsaGlRQUOD30gAAQADa2tpUVVWl1tZWxWKxY/YNJHwcPXpUu3btUmtrq371q1/pJz/5iRobGzVixIhOfbt65qOkpEQtLS0fuvju8jxP8XhclZWVikajvo6dDVL11zbnyE1GMr2cjHByjOaXJzkDnAHOQEjPQOrfP6z1S8H9DCQSCRUWFh5X+AjkZZe8vDwNGzZMknTBBReoqalJ9913nx588MFOfR3HkeM4ndqj0WhgDwxBjp0N3GREbns4f+hSOAOcAc5AuM9A2OuX/P8Z6M5YVj7nI5lMdnh2AwAAhJfvz3zMnTtXEydOVGlpqQ4dOqSGhgatXbtWq1ev9nsqAACQhXwPHwcOHNAXv/hF7d27V3379tWoUaO0evVqVVZW+j0VAADIQr6Hj4cfftjvIQEAQA/Cd7sAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACs8j18LFy4UBdeeKH69OmjAQMG6Oqrr9bWrVv9ngYAAGQp38NHY2Ojampq9PLLLysej8vzPI0fP15HjhzxeyoAAJCFcv0e8Nlnn+1w/5FHHtGAAQO0ceNGfepTn/J7OgAAkGV8Dx/v19raKkk65ZRTurzuuq5c103fTyQSkiTP8+R5nq9rSY3n97jZIlW3k2MyvJLMSdXOGeAMcAbCeQZSdYe1fim4n4HujBcxxgT2L5BMJnXVVVfp4MGDWr9+fZd96urqVF9f36m9oaFBBQUFQS0NAAD4qK2tTVVVVWptbVUsFjtm30DDxze+8Q2tWrVK69ev12mnndZln66e+SgpKVFLS8uHLr67PM9TPB5XbXOO3GTE17GzgZNjNL88Gdr6JfYg7PVL7AH1h7t+6b97UFlZqWg06tu4iURChYWFxxU+AnvZ5eabb9YzzzyjdevWfWDwkCTHceQ4Tqf2aDTq66a8l5uMyG0P56GTqF9iD8Jev8QeUH+465f8/z3bnbF8Dx/GGH3zm9/UihUrtHbtWpWVlfk9BQAAyGK+h4+amho1NDToN7/5jfr06aN9+/ZJkvr27av8/Hy/pwMAAFnG98/5WLp0qVpbW3XppZeqqKgoffvlL3/p91QAACALBfKyCwAAwAfhu10AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABW+R4+1q1bp8mTJ6u4uFiRSEQrV670ewoAAJDFfA8fR44c0ejRo3X//ff7PTQAAOgBcv0ecOLEiZo4caLfwwIAgB7C9/DRXa7rynXd9P1EIiFJ8jxPnuf5OldqPCfH+DputkjVHdb6JfYg7PVL7AH1h7t+6b+1B/U79nhEjDGB/QtEIhGtWLFCV1999Qf2qaurU319faf2hoYGFRQUBLU0AADgo7a2NlVVVam1tVWxWOyYfTMePrp65qOkpEQtLS0fuvju8jxP8Xhctc05cpMRX8fOBk6O0fzyZGjrl9iDsNcvsQfUH+76pf/uQWVlpaLRqG/jJhIJFRYWHlf4yPjLLo7jyHGcTu3RaNTXTXkvNxmR2x7OQydRv8QehL1+iT2g/nDXL/n/e7Y7Y/E5HwAAwCrfn/k4fPiwduzYkb6/c+dObdq0SaeccopKS0v9ng4AAGQZ38NHc3OzLrvssvT9WbNmSZKqq6v1yCOP+D0dAADIMr6Hj0svvVQBvocVAABkOd7zAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsCqw8HH//fdryJAh6t27t8aMGaNXX301qKkAAEAWCSR8/PKXv9SsWbM0b948/fGPf9To0aM1YcIEHThwIIjpAABAFgkkfCxevFg33nijpk2bphEjRuiBBx5QQUGBfvrTnwYxHQAAyCK5fg949OhRbdy4UXPnzk235eTkaNy4cdqwYUOn/q7rynXd9P3W1lZJ0ttvvy3P83xdm+d5amtrU66Xo/ZkxNexs0Fu0qitLRna+iX2IOz1S+wB9Ye7fum/e/DPf/5T0WjUt3EPHTokSTLGfHhn47M9e/YYSeall17q0D579mzz8Y9/vFP/efPmGUncuHHjxo0btx5w271794dmBd+f+eiuuXPnatasWen7yWRSb7/9tvr166dIxN9UmkgkVFJSot27dysWi/k6djYIe/0SexD2+iX2gPrDXb8U3B4YY3To0CEVFxd/aF/fw0dhYaF69eql/fv3d2jfv3+/Bg0a1Km/4zhyHKdD20knneT3sjqIxWKhPXQS9UvsQdjrl9gD6g93/VIwe9C3b9/j6uf7G07z8vJ0wQUXaM2aNem2ZDKpNWvWqKKiwu/pAABAlgnkZZdZs2apurpa5eXl+vjHP64lS5boyJEjmjZtWhDTAQCALBJI+Ljuuuv0j3/8Q3fccYf27dunc889V88++6wGDhwYxHTHzXEczZs3r9PLPGER9vol9iDs9UvsAfWHu37po7EHEWOO529iAAAA/MF3uwAAAKsIHwAAwCrCBwAAsIrwAQAArOqR4WPdunWaPHmyiouLFYlEtHLlyg7XjTG64447VFRUpPz8fI0bN07bt2/PzGIDsHDhQl144YXq06ePBgwYoKuvvlpbt27t0Ofdd99VTU2N+vXrpxNPPFGf/exnO30wXLZaunSpRo0alf4AnYqKCq1atSp9vSfX3pVFixYpEolo5syZ6baevgd1dXWKRCIdbsOHD09f7+n1S9KePXt0ww03qF+/fsrPz9c555yj5ubm9PWe/jg4ZMiQTmcgEomopqZGUs8/A+3t7aqtrVVZWZny8/M1dOhQzZ8/v8P3rmT0DPzv3+by0fP73//efPe73zVPPfWUkWRWrFjR4fqiRYtM3759zcqVK83rr79urrrqKlNWVmbeeeedzCzYZxMmTDDLli0zW7ZsMZs2bTJXXHGFKS0tNYcPH073+frXv25KSkrMmjVrTHNzs/nEJz5hxo4dm8FV++fpp582v/vd78y2bdvM1q1bze23326i0ajZsmWLMaZn1/5+r776qhkyZIgZNWqUmTFjRrq9p+/BvHnzzMiRI83evXvTt3/84x/p6z29/rffftsMHjzYfOlLXzKvvPKK+etf/2pWr15tduzYke7T0x8HDxw40OHfPx6PG0nmxRdfNMb0/DOwYMEC069fP/PMM8+YnTt3mieffNKceOKJ5r777kv3yeQZ6JHh473eHz6SyaQZNGiQ+f73v59uO3jwoHEcxzz++OMZWGHwDhw4YCSZxsZGY8x/6o1Go+bJJ59M9/nLX/5iJJkNGzZkapmBOvnkk81PfvKTUNV+6NAhc8YZZ5h4PG4uueSSdPgIwx7MmzfPjB49ustrYaj/tttuMxdffPEHXg/j4+CMGTPM0KFDTTKZDMUZmDRpkpk+fXqHts985jNm6tSpxpjMn4Ee+bLLsezcuVP79u3TuHHj0m19+/bVmDFjtGHDhgyuLDitra2SpFNOOUWStHHjRnme12EPhg8frtLS0h63B+3t7Vq+fLmOHDmiioqKUNVeU1OjSZMmdahVCs+///bt21VcXKzTTz9dU6dO1a5duySFo/6nn35a5eXluvbaazVgwACdd955+vGPf5y+HrbHwaNHj+rRRx/V9OnTFYlEQnEGxo4dqzVr1mjbtm2SpNdff13r16/XxIkTJWX+DGT8W21t27dvnyR1+rTVgQMHpq/1JMlkUjNnztRFF12ks88+W9J/9iAvL6/TF/j1pD3YvHmzKioq9O677+rEE0/UihUrNGLECG3atKnH1y5Jy5cv1x//+Ec1NTV1uhaGf/8xY8bokUce0VlnnaW9e/eqvr5en/zkJ7Vly5ZQ1P/Xv/5VS5cu1axZs3T77berqalJt9xyi/Ly8lRdXR26x8GVK1fq4MGD+tKXviQpHD8Dc+bMUSKR0PDhw9WrVy+1t7drwYIFmjp1qqTM/y4MXfgIm5qaGm3ZskXr16/P9FKsOuuss7Rp0ya1trbqV7/6laqrq9XY2JjpZVmxe/duzZgxQ/F4XL179870cjIi9f/uJGnUqFEaM2aMBg8erCeeeEL5+fkZXJkdyWRS5eXluvvuuyVJ5513nrZs2aIHHnhA1dXVGV6dfQ8//LAmTpx4XF/13lM88cQTeuyxx9TQ0KCRI0dq06ZNmjlzpoqLiz8SZyB0L7sMGjRIkjq9q3n//v3paz3FzTffrGeeeUYvvviiTjvttHT7oEGDdPToUR08eLBD/560B3l5eRo2bJguuOACLVy4UKNHj9Z9990Xito3btyoAwcO6Pzzz1dubq5yc3PV2NioH/zgB8rNzdXAgQN7/B6830knnaQzzzxTO3bsCMUZKCoq0ogRIzq0fexjH0u/9BSmx8E333xTzz//vL7yla+k28JwBmbPnq05c+bo+uuv1znnnKMvfOELuvXWW7Vw4UJJmT8DoQsfZWVlGjRokNasWZNuSyQSeuWVV1RRUZHBlfnHGKObb75ZK1as0AsvvKCysrIO1y+44AJFo9EOe7B161bt2rWrx+zB+yWTSbmuG4raL7/8cm3evFmbNm1K38rLyzV16tT0/+7pe/B+hw8f1htvvKGioqJQnIGLLrqo05/Xb9u2TYMHD5YUjsfBlGXLlmnAgAGaNGlSui0MZ6CtrU05OR1/xffq1UvJZFLSR+AMBP6W1gw4dOiQee2118xrr71mJJnFixeb1157zbz55pvGmP/8edFJJ51kfvOb35g//elPZsqUKT3qT8y+8Y1vmL59+5q1a9d2+FOztra2dJ+vf/3rprS01LzwwgumubnZVFRUmIqKigyu2j9z5swxjY2NZufOneZPf/qTmTNnjolEIua5554zxvTs2j/Ie//axZievwff+ta3zNq1a83OnTvNH/7wBzNu3DhTWFhoDhw4YIzp+fW/+uqrJjc31yxYsMBs377dPPbYY6agoMA8+uij6T49/XHQGGPa29tNaWmpue222zpd6+lnoLq62px66qnpP7V96qmnTGFhofnOd76T7pPJM9Ajw8eLL75oJHW6VVdXG2P+8ydGtbW1ZuDAgcZxHHP55ZebrVu3ZnbRPuqqdklm2bJl6T7vvPOOuemmm8zJJ59sCgoKzDXXXGP27t2buUX7aPr06Wbw4MEmLy/P9O/f31x++eXp4GFMz679g7w/fPT0PbjuuutMUVGRycvLM6eeeqq57rrrOnzGRU+v3xhjfvvb35qzzz7bOI5jhg8fbh566KEO13v646AxxqxevdpI6rKunn4GEomEmTFjhiktLTW9e/c2p59+uvnud79rXNdN98nkGYgY856POwMAAAhY6N7zAQAAMovwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwKr/Ay4rEfH4NQpkAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(y, bins=7, range=[10, 80])\n",
"plt.yticks(range(0, 11,1))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "4420963b-9862-4744-82fb-1d2a622073c7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = [ 10, 11, 12, 13, 14,\n",
" 30, 50, 59, 70, 72, 73]\n",
"plt.hist(x, bins=7, range=[10, 80])\n",
"plt.yticks(range(0, 7,1))\n",
"plt.xticks(range(10, 90, 10))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "8b3f1c2d-4bdd-4bdb-8806-cbcd6ac6126e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = [ 10, 11, 12, 13, 14,\n",
" 30, 50, 59, 70, 72, 73]\n",
"plt.hist(x, bins=4, range=[10, 80])\n",
"plt.yticks(range(0, 7,1))\n",
"plt.xticks([10, 27, 45, 62])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "6eea5563-4a51-40a4-bea1-8fe5a2d856cc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = [ 10, 11, 12, 13, 14,\n",
" 30, 50, 59, 70, 72, 73]\n",
"plt.hist(x, bins=2, range=[10, 80])\n",
"plt.yticks(range(0, 7,1))\n",
"plt.xticks([10, 45])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "b2535e83-f8fc-4022-a70a-af21600c3c2c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = [ 10, 11, 12, 13, 14,\n",
" 30, 50, 59, 70, 72, 73]\n",
"plt.hist(x, bins=19, range=[10, 80])\n",
"plt.yticks(range(0, 7,1))\n",
"plt.xticks(range(10, 80, 4))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "c4cb0359-4930-4819-aa80-d917995da460",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[67, 13, 51, 46, 50, 41, 15, 42, 38, 50, 18, 28, 77, 73, 57, 52, 25, 45, 58, 36, 20, 10, 43, 43, 61, 56, 40, 23, 29, 36, 12, 53, 17, 54, 80, 15, 76, 36, 25, 18, 35, 55, 23, 40, 23, 27, 69, 17, 17, 52, 29, 66, 28, 17, 55, 66, 17, 27, 37, 41, 60, 67, 31, 54, 72, 21, 47, 34, 57, 17, 58, 61, 52, 80, 38, 16, 48, 80, 59, 65, 46, 69, 73, 59, 13, 19, 77, 19, 72, 41, 70, 24, 32, 69, 71, 48, 75, 11, 50, 14]\n"
]
}
],
"source": [
"#Exercise 2\n",
"import random as rnd\n",
"x = [\n",
" rnd.randint(10, 80)\n",
" for i in range(0, 100)\n",
"]\n",
"print(x)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "59ee136f-74cc-4e7e-a87e-13b19fe9e4df",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# bins 2\n",
"plt.hist(x, bins=2, range=[10, 80])\n",
"plt.yticks(range(0, 60,5))\n",
"plt.xticks(range(10, 90, 5))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "a2ef1ef4-0f8a-41fd-b1df-778ea6e42b0c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# bins 5\n",
"plt.hist(x, bins=5, range=[10, 80])\n",
"plt.yticks(range(0, 30,5))\n",
"plt.xticks(range(10, 90, 5))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "cc32af90-70f6-4be9-b7cd-bcb3c32ef920",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# bins 12\n",
"plt.hist(x, bins=12, range=[10, 80])\n",
"plt.yticks(range(0, 20,5))\n",
"plt.xticks(range(10, 90, 5))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "181b153f-fb78-4fbf-b328-030bd169b319",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# bins 20\n",
"plt.hist(x, bins=20, range=[10, 80])\n",
"plt.yticks(range(0, 10,1))\n",
"plt.xticks(range(10, 90, 5))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1a6a879d-cd85-4a2b-bb67-29fcce42c047",
"metadata": {},
"outputs": [],
"source": [
"so, the best bins value for this dataset is 12"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "34025f9c-518d-45c2-afa9-9d370eaa54a5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"N = 1000\n",
"xmin = 20\n",
"xmax = 60\n",
"mean = 39.479\n"
]
}
],
"source": [
"N = 1000; a = 20; b = 60; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
"\n",
"print('N =', len(x))\n",
"print('xmin =', min(x))\n",
"print('xmax =', max(x))\n",
"print('mean =', stat.mean(x))"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "8180c0c6-3241-48a0-84a0-f2254a1a6d12",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "2a4c2f9c-8899-4197-a2c9-ddf2b0b2efc0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 20; b = 60; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "6b7b6eaf-ccf3-47ce-a76f-a87b8da0b748",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 20; b = 60; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "56606299-1c0f-4a33-bc74-24a5546f3fc1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 20; b = 60; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "ed0f7c04-07ab-4588-b8e3-cfbae9ddc783",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 20; b = 60; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7cb0f366-74a6-4cf1-9c60-f0956d770c02",
"metadata": {},
"outputs": [],
"source": [
"#Exercise 3\n",
"- N in this code represents the number of samples to be generated and used for the histogram.\n",
"- Unfortunately, it's not mathematically possible to calculate the average value of a set of numbers by simply dividing 1 by the number of elements (n) in the set. \n",
"This is because the formula, 1/n, does not capture any information about the actual values in the set.\n",
"The average, also known as the mean, is calculated by adding all the values in a set and then dividing the sum by the number of elements in the set."
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "dccbcca1-5aee-4a90-a2fd-14a54b636fed",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 10; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "b219ac7a-0393-4e31-918a-8c7019a7255a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "92a076e7-3d38-4d38-abf8-e85f254ffddc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "a0e120b8-c386-4084-82fe-19514a212dcc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 10000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "afdb7694-f1f4-4763-bf37-476773109d3b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "5aa20181-513d-4825-975c-36118fb4129b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "8548d53e-8392-4814-9418-57251485a476",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Exercise 4\n",
"N = 6000; a = 1; b = 6; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=6)\n",
"plt.xticks(np.arange(1, 7, 1))\n",
"plt.xlim([1, 7])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "17b330e0-28a6-47b7-a09d-a24076e4b743",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "611aad24-5409-445e-be7a-7d402d0847a0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; y = []\n",
"for i in range(N):\n",
" yi = rnd.randint(a, b)\n",
" y.append(yi)\n",
" \n",
"plt.hist(y, bins=10, color='tab:red')\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 74,
"id": "cd4b72fc-a0af-4749-887f-f6e7f8238a2b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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5SnLnnHWkpdMzeAxLflgXZqfivZ7BY1i8Z0Cn4r2GOhqF8DFr1iy99NJLOnz4sCTpN7/5jfbu3auamvO/xNbb26t4PH7OT1BqNjQGWmfLgo17Aq2zZd56f79nv3W2LNz8aqB1triyPVxZhyvnK8mdc5Yr2+SuTXsDrQtC4B84XbZsmeLxuK655hrl5ORocHBQa9as0d13333e+vr6en37298Oug1JUlfvYKB1tqRKrOnW2dKb4lldunW2tHb4e0XDb50tqZ6Zpltniyv7lSvnK8mdc5bfXT/kh4jauvoDrQtC4K98PP/88/rZz36m5557Tr/61a/04x//WP/8z/+sH//4x+etX758udrb28/+HD9+PLBeigtyAq2zJVboLyP6rbOlICf1B47TqbOlotTft1n81tlSlOfv8PdbZ4sr+5Ur5yvJnXOW310/5IeIyovzAq0LQuC/soceekjLli3TwoULdf311+vLX/6yHnzwQdXX15+3vqCgQLFY7JyfoDQsrQ60zpbtS+YGWmfLrjp/v2e/dbZsuW9WoHW2uLI9XFmHK+cryZ1zlivbZOv9cwKtC0Lg4ePMmTOKRs/9Z3NycpRImH9d6vLyIuWneLaTnxMJ/ffnKy8pTPnssygvGvrvzldVFCua4slnNKLQz2UoL8nXhBSzPCaU5Id+3sfUy8YpN8UZIDeq0M/7cGW/cuV8JblzzppWWaJUr5dFPqwLswmxgpSvMsUKc43O+wg8fHz+85/XmjVrtGPHDh07dkxbt27V9773Pd11111BP5Qvh9fM9zygs+l78wdX1XgezNn0nfmj9bWeF4psmsew79FbPQNINs35OLK21jOAZNOcD1f2K1fOV5I756ymdbWeASSb5ny8tfJ2zwAS1JyPdAQ+ZKyjo0MrVqzQ1q1b1draqkmTJumv//qv9c1vflP5+amfCY7GkDHJnYmBrkwLdGUSJRNOw8WV/cqV85XkzjmLCaeppXP9Djx8XKzRCh8AAGD0WJ1wCgAAcCGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFG5thsw5e3mdt2xaa+SkiKStt0/R9dPLbPdVtpcWUfze2c0b32juvsTKsqLalddtaZeNs52W2k7Fe/VXZv2qq2rX+XFedp6/xxNiBXYbitth052aP7GPRpMSjkRaeeSufr4pFLbbaXNlXW0nO7Rgo17FO8ZUKwwV9uXzFXlJYW228rIkZZO1WxoVH9CyotKDUurNa2yxHZbaXPlWG9q7dK89Y3qHUyqICeiXXXVqqooNt5HJJlMJo0/6gXE43GVlZWpvb1dsVgskH/zymU7PO87tq42kMcwwZV1THt4hwYSI2/PjUpH1mbPOmasfFHxnoERt8cKc/XWytstdJQZV/YrV9YxfUWDuvtHHiBFeVEdXFVjoaPMVS3bofNdYCKSmrJom7hyrF+1fIcS59kg0Yh0tP7it0c612/n33a50AnJz/1h4co6vIKHJA0khu7PBl4nI0mK9wxoxsoXDXeUGVf2K1fW4RU8JKm7P6HpKxoMd5Q5r+AhSckP788GrhzrXsFDkhLJoftNcjp8vN3cHmidLa6so/m9M57BY9hAYqguzE7Fez1PRsPiPQM6Fe811FFmDp3sCLTOFlfW0XK6xzN4DOvuT6jldI+hjjJ3pKXTM3gMS35YF2auHOtNrV2ewWNYIjlUZ4rT4eOOTXsDrbPFlXXMW98YaJ0td/n8Pfuts2X+xj2B1tniyjoW+OzPb51NNRv8HcN+62xx5VgP47nX6fDh98MsofrQy3m4so5Uz+rSrbOlras/0DpbBn3uMH7rbHFlHameYadbZ5PfQzjkh7ozx3qvz53fb10QnA4fkYDrbHFlHUV5/nY3v3W2lBfnBVpnS47PHcZvnS2urCNW6O/Lh37rbPJ7CIf8UHfmWC/wufP7rQtCyDf9xdl2/5xA62xxZR276qoDrbNlq8/fs986W3YumRtonS2urGO7z/781tnUsNTfMey3zhZXjvUwnnudDh9+51+EfU6GK+uYetk45abY43KjCv28jwmxgpTPPmOFuaGfAeB3/kXY52S4so7KSwpTvupXlBfNinkf0ypLUr4SG/mwLsxcOdarKooVTbFBohEZnffhdPiQUn+/P1u+/+/KOo6srfUMINk05+Otlbd7npSy6bv/ruxXrqzj4KoazwCSbXM+mtbVegaQbJrz4cqxfrS+1jOABDXnIx1jYsiY5M5kUFfWwYTTcHFlMqgr62DCafi4cqyP5oTTdK7fYyZ8AACA0cOEUwAAEFqEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYFSu7QZMOdHWrZoNjerqHVRxQY4allbr8vIi222lra2zTws3v6rWjj5VlOZry32zVF6Sb7uttDW1dmne+kb1DiZVkBPRrrpqVVUU224rbd19g1q784COvX9GV44fp4fnX6ui/BzbbaXt0MkOzd+4R4NJKSci7VwyVx+fVGq7rbS9dvh9LfzRa2f/vOVrf6I/uXq8xY4y036mX1979g2dbO/RpLJC/eieT6tsXJ7ttjLiyrHuyjVk/7HTuvOpX5z98wt/P1ufuvIS431EkslkMuh/9MSJE/rGN76hhoYGnTlzRtOmTdMzzzyjm266KeXfjcfjKisrU3t7u2KxWCD9XP3ITvUNjlxmfk5Eh9fMD+QxTJi5erdOdfaNuH1CSb72PXqrhY4yc9XyHUqcZ6+LRqSj9bXmG8rQvT/Zp90HWkfcfuu1FXr6KzMtdJSZK5ft8Lzv2Lrs2R6urKP6Oy/r9+93j7j9ivFFanzozy10lDlXjnVXriGjfYykc/0O/G2XDz74QLNnz1ZeXp4aGhp04MABffe739Wll14a9EP54rXTSFLfYFJXP7LTcEeZ8QoeknSqs08zV+823FFmvE5GkpRIDt2fDbyChyTtPtCqe3+yz3BHmbnQycjP/WHhyjq8gock/f79blV/52XDHWXOlWPdlWtI2I6RwMPHY489pilTpuiZZ57Rpz/9aVVVVem2227TRz/60aAfKqUTbd2eO82wvsGkTrSd/2APi7bOPs/gMexUZ5/aUtTY1tTa5XkyGpZIDtWFWXffoGfwGLb7QKu6+wYNdZSZQyc7Aq2z5bXD7wdaZ0v7mX7P4DHs9+93q/1Mv6GOMufKse7KNWT/sdOB1gUh8PCxbds23XTTTfriF7+oiooK3XDDDXr66ac963t7exWPx8/5CUrNhsZA62xZuPnVQOtsmbfe3+/Zb50ta3ceCLTOlvkb9wRaZ8sffsYjiDpbvvbsG4HW2eTKse7KNeQPP+MRRF0QAg8fR48e1ZNPPqmPfexjevHFF/UP//APWrp0qX784x+ft76+vl5lZWVnf6ZMmRJYL129/p55+q2zpbXD3ysafuts6U3xDCLdOluOvX8m0Dpb/P6aQ745nHGyvSfQOptcOdZduYaEUeDhI5FI6MYbb9TatWt1ww036L777tO9996rp5566rz1y5cvV3t7+9mf48ePB9ZLcYG/bx34rbOlotTft1n81tlSkBMJtM6WK8ePC7TOFr+/5pBvDmdMKisMtM4mV451V64hYRR4+PjIRz6ia6+99pzbpk+frubm5vPWFxQUKBaLnfMTlIal1YHW2bLlvlmB1tmyq87f79lvnS0Pz782dVEadbbsXDI30DpbtnztTwKts+VH93w60DqbXDnWXbmGvPD3swOtC0Lg4WP27Nk6dOjQObcdPnxYV1xxRdAPldLl5UXKT5Gs83Miof+udnlJviakmOUxoSQ/9PM+qiqKFU3xRCcaUehnABTl5+jWaysuWHPrtRWhn/fhd45H2Od9+J3jEfZ5H2Xj8nTF+Aufi64YX5QV8z5cOdZduYb4neNhct5H4OHjwQcf1Guvvaa1a9fqyJEjeu6557R582YtWrQo6Ify5fCa+Z47TzZ9R3vfo7d6BpBsmvNxtL7W86SUTd/9f/orMz0DSDbN+Uj13f5smY/hyjoaH/pzzwCSbXM+XDnWXbmGhO0YGZUhY9u3b9fy5cv1u9/9TlVVVfr617+ue++919ffHY0hY5I70+mYcBouTDgNFyacho8rx7or15DRnHCazvV7VMLHxRit8AEAAEaP1QmnAAAAF0L4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGJVruwFT2jr7tHDzq2rt6FNFab623DdL5SX5tttK25GWTtVsaFR/QsqLSg1LqzWtssR2W2lrau3SvPWN6h1MqiAnol111aqqKLbdVtpcWUfze2c0b32juvsTKsqLalddtaZeNs52W2lrOd2jBRv3KN4zoFhhrrYvmavKSwptt5W2E23dqtnQqK7eQRUX5KhhabUuLy+y3VZGDp3s0PyNezSYlHIi0s4lc/XxSaW220qbK8dIWM5ZkWQymTT+qBcQj8dVVlam9vZ2xWKxQP7Nmat361Rn34jbJ5Tka9+jtwbyGCZULduh822siKSmdbWm28nYVct3KHGehUQj0tF61mHatId3aCAx8vbcqHRkbfasY/qKBnX3j1xIUV5UB1fVWOgoM1c/slN9gyN3rPyciA6vmW+ho8xduWyH533Hsuic5coxMtrnrHSu386/7eIVPCTpVGefZq7ebbijzHgFD0lKfnh/NvDa+SUpkRy6Pxu4sg6vk6okDSSG7s8GXsFDkrr7E5q+osFwR5nxCh6S1DeY1NWP7DTcUeYuFDz83B8WrhwjYTtnOR0+2jr7PIPHsFOdfWpLUWPbkZZOz+AxLPlhXZg1tXZ57vzDEsmhujBzZR3N753xPKkOG0gM1YVZy+kez+AxrLs/oZbTPYY6ysyJtm7P4DGsbzCpE23dhjrK3KGTHYHW2eLKMRLGc5bT4WPh5lcDrbOlZkNjoHW2zFvvrz+/dbawjnBZsHFPoHW2uHKcS9J8n79rv3W2uHKMhHEdToeP1g5/r2j4rbMlxZO6tOts6U3xrC7dOltcWUeqVwvSrbMl3jMQaJ0tXb2DgdbZ5HfXD/kh4swxEsZzltPho6LU37dZ/NbZkudzK/mts6UgJxJonS2urKPI5w7jt86WWKG/L+35rbOluCAn0Dqb/O76IT9EnDlGwnjOCvdv7CJtuW9WoHW2NCytDrTOll11/vrzW2cL6wiX7UvmBlpniyvHuTT0ddog62xx5RgJ4zqcDh/lJfmakGKWx4SS/NDP+5hWWaJUeTTyYV2YVVUUK5piIdGIQj8nw5V1TL1snHJTnAFyowr9LIPKSwpTPvMsyouGft7H5eVFyk/xzDM/J5IV8z78zvEI+7wPV46RMJ6znA4fkrTv0Vs9A0g2zfloWlfrGUCyac7H0fpaz4Mgm+ZjuLKOI2trPU+u2TTD4OCqGs8Akk1zPg6vme8ZQLJtzkeqOR7ZMufDlWMkbOesMTFkTGLCadiEZcrexXJlHa5Mb2TCafgw4TRcRvOclc71e8yEDwAAMHqYcAoAAEKL8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADAq13YDpjS1dmne+kb1DiZVkBPRrrpqVVUU224rbc3vndG89Y3q7k+oKC+qXXXVmnrZONttpa3ldI8WbNyjeM+AYoW52r5kriovKbTdVtpc2R6uHB+HTnZo/sY9GkxKORFp55K5+vikUtttpe1IS6dqNjSqPyHlRaWGpdWaVlliu62MHHgnrgVPvKKEhp7tbl/8WV07OWa7rbS5sm+divfqrk171dbVr/LiPG29f44mxAqM9xFJJpPJ0XyAdevWafny5aqrq9P3v//9lPXxeFxlZWVqb29XLBbMDnrV8h1KnGeV0Yh0tL42kMcwYdrDOzSQGHl7blQ6sjZ71jF9RYO6+0cupCgvqoOraix0lBlXtocrx8eVy3Z43ndsXfaso2rZDp3vpByR1JRF65Dc2SaurGPGyhcV7xkYcXusMFdvrbz9ov/9dK7fo/q2y759+/TDH/5QM2bMGM2HuSCvE6skJZJD92cDrwudJA0khu7PBl7BQ5K6+xOavqLBcEeZcWV7uHJ8XOji4Of+sPAKHpKU/PD+bOHKNnFlHV7BQ5LiPQOasfJFo/2MWvjo7OzU3XffraefflqXXnrpaD3MBTW1dnmeWIclkkN1Ydb83hnPC92wgcRQXZi1nO7xDB7DuvsTajndY6ijzLiyPVw5Pg6d7Ai0zpYjLZ2ewWNY8sO6sDvwTjzQOltc2bdOxXs9g8eweM+ATsV7DXU0iuFj0aJFqq2t1S233HLBut7eXsXj8XN+gjJvfWOgdba4so4FG/cEWmeLK9vDlXXM97m/+K2zpWaDv9+z3zqbFjzxSqB1triyb921aW+gdUEYlQ+cbtmyRb/61a+0b9++lLX19fX69re/PRptqHfQ38dZ/NbZkurVgnTrbEmVvNOts8WV7eHK8eG3vZAvQ353l5DvVpIkvy2GfSmu7FttXf2B1gUh8Fc+jh8/rrq6Ov3sZz9TYWHqby8sX75c7e3tZ3+OHz8eWC8FOZFA62wpyvO3mfzW2RIr9Jd1/dbZ4sr2cOX48NteyJchv7tLyHcrSf4vLGFfiiv7VnlxXqB1QQh827/55ptqbW3VjTfeqNzcXOXm5qqxsVEbNmxQbm6uBgcHz6kvKChQLBY75ycou+qqA62zxZV1bF8yN9A6W1zZHq6sY6fP/cVvnS0NS/39nv3W2bR98WcDrbPFlX1r6/1zAq0LQuBPMT/3uc/p7bffPue2v/3bv9U111yjb3zjG8rJyQn6IT1VVRQrGtEFP1QXjSj08wymXjZOuVFd8EOOuVGFfr5E5SWFKsqLXvDtiKK8aOjnfbiyPVw5PvzOWgj7TIZplSWKSBf80Gnkw7qw8zvHI+zzPlzZtybEChQrzL3gW9qxwlyj8z4Cf+WjtLRU11133Tk/xcXFGj9+vK677rqgHy6lo/W1inq8JJZNcwyOrK1VrsfWyqa5EgdX1Xi+HZFNcz5c2R6uHB+pZi1kyyyGpnW18noFP9vmfLiyTVxZx1srb/d8SzuoOR/pGPUhY5L0p3/6p/rUpz5lbciY5M4ER1cmajLhNFxcOT5cmULJhNPwcWXfGs0Jp+lcv42Ej3SMVvgAAACjJzQTTgEAAP4Y4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABiVa7sBU5pauzRvfaN6B5MqyIloV121qiqKbbeVNlfW0dkzoAf//ddq/qBbUy8t0r/81Q0qKcy+3bH5vTOat75R3f0JFeVFtauuWlMvG2e7rbS1nO7Rgo17FO8ZUKwwV9uXzFXlJYW220rb/mOndedTvzj75xf+frY+deUl9hrKkCvbQ5Je/d/39P+eff3sn5+75zOadc1lFjvKjCvnrLCsI5JMJpPGH/UC4vG4ysrK1N7erlgsFsi/edXyHUqcZ5XRiHS0vjaQxzDBlXXc8cQreuud+IjbZ0yOadviz1roKDPTHt6hgcTI23Oj0pG12bM9pq9oUHf/yIUU5UV1cFWNhY4yc+WyHZ73HVvH9rDBlW3iyjlrtNeRzvXb+bddvC7YkpRIDt2fDVxZh9fOL0lvvRPXHU+8YrijzHgFD0kaSAzdnw28LnSS1N2f0PQVDYY7ysyFLnJ+7g8LV7aH5M42ceWcFbZ1OB0+mlq7PC/YwxLJobowc2UdnT0Dnjv/sLfeiauzZ8BQR5lpfu+MZ/AYNpAYqguzltM9nhe6Yd39CbWc7jHUUWb2HzsdaJ0trmwPaeitliDrbHHlnBXGdTgdPuatbwy0zhZX1vHgv/860DpbXNkeCzbuCbTOlj/8jEcQdba4sj0knfMZjyDqbHHlnBXGdTgdPnoH/X2cxW+dLa6so/mD7kDrbEn17DTdOlviPp/l+K3DxWF7hI8r56wwrsPp8FGQEwm0zhZX1jH10qJA62wpyvN32PitsyXm8xPufutwcdge4ePKOSuM6wj32fEi7aqrDrTOFlfW8S9/dUOgdba4sj22L5kbaJ0tL/z97EDrbHFle0hDX6cNss4WV85ZYVyH0+GjqqJY0RQvBkQjCv2cDFfWUVKYqxmTL/z1qxmTY6H/7vzUy8YpN8WRkxtV6Od9VF5SmPLVmaK8aOjnS/id4xH2eR+ubA9Jvud4hH3ehyvnrDCuw+nwIQ3Nv/C6cGfTfAxX1rFt8Wc9D4Js+s78kbW1ngEkm+Z8HFxV43nBy6a5EqlmRmTLTAlXtofkzjZx5ZwVtnWMiSFjkjuTQV1ZR1im7F0sJpyGCxNOw4cJp+EymutI5/o9ZsIHAAAYPUw4BQAAoUX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGJVruwFT2jr7tHDzq2rt6FNFab623DdL5SX5tttK24m2btVsaFRX76CKC3LUsLRal5cX2W4rbW83t+uOTXuVlBSRtO3+Obp+apntttL2xpE2felff3n2z8//3c369LRyix1lpqm1S/PWN6p3MKmCnIh21VWrqqLYdltp6+wZ0IP//ms1f9CtqZcW6V/+6gaVFGbfaa7ldI8WbNyjeM+AYoW52r5kriovKbTdVkaOtHSqZkOj+hNSXlRqWFqtaZUltttK26GTHZq/cY8Gk1JORNq5ZK4+PqnUdltpC8uxHkkmk8kg/8H6+nr9x3/8h/73f/9XRUVFmjVrlh577DF9/OMf9/X34/G4ysrK1N7erlgsFkhPM1fv1qnOvhG3TyjJ175Hbw3kMUy4+pGd6hscubnycyI6vGa+hY4yc+WyHZ73HVtXa7CTi+PKOq5avkOJ85wFohHpaH32rOOOJ17RW+/ER9w+Y3JM2xZ/1kJHmZm+okHd/YkRtxflRXVwVY2FjjJXtWyHzneBiUhqyqJjhGPdn3Su34G/7dLY2KhFixbptdde0+7du9Xf36/bbrtNXV1dQT+UL17BQ5JOdfZp5urdhjvKjFfwkKS+waSufmSn4Y4yc6GD2M/9YeHKOrxORpKUSA7dnw28gockvfVOXHc88YrhjjLjFTwkqbs/oekrGgx3lDmv4CFJyQ/vzwYc66Mj8PCxa9cu3XPPPfrEJz6hT37yk3r22WfV3NysN998M+iHSqmts88zeAw71dmnthQ1tp1o6/YMHsP6BpM60dZtqKPMvN3cHmidLW8caQu0zpam1i7Pk9GwRHKoLsw6ewY8g8ewt96Jq7NnwFBHmWk53eMZPIZ19yfUcrrHUEeZO9LS6Rk8hiU/rAuzQyc7Aq2zJYzH+qh/4LS9fehCUl5+/vfBe3t7FY/Hz/kJysLNrwZaZ0vNhsZA62y5Y9PeQOts+cPPeARRZ8u89f72F791tjz4778OtM6WBRv3BFpnkyvnrPk+f9d+62wJ47E+quEjkUjogQce0OzZs3Xdddedt6a+vl5lZWVnf6ZMmRLY47d2+HtFw2+dLV29g4HW2eL3w0WBfggJnnpTvJqWbp0tzR/4e8XPb50tcZ+vzPitsynFCzhp19nid9cP+SESymN9VMPHokWL9Nvf/lZbtmzxrFm+fLna29vP/hw/fjywx68o9fdtFr91thQX5ARaZ0sk4DpcnIIcf79pv3W2TL3U37e9/NbZEvP5rRy/dTbl+byy+K2zxe+uH/JDJJTH+qht+sWLF2v79u36+c9/rsmTJ3vWFRQUKBaLnfMTlC33zQq0zpaGpdWB1tmy7f45gdbZ8vzf3RxonS276vztL37rbPmXv7oh0Dpbti+ZG2idTa6cs3b6/F37rbMljMd64OEjmUxq8eLF2rp1q15++WVVVVUF/RC+lZfka0KKWR4TSvJDP+/j8vIi5adIpPk5kdDP+/A7xyPs8z78zvEI+7yPqopiRVM80YlGFPp5HyWFuZox+cJPWmZMjoV+3kflJYUqSvFSQFFeNCvmfUyrLEn5Cmbkw7ow8zvHI+zzPsJ4rAcePhYtWqSf/vSneu6551RaWqqWlha1tLSou9vO+637Hr3VM4Bk05yPw2vmewaQbJrzkeo78dnynXlX1nG0vtbzpJRNcz62Lf6sZwDJpjkfB1fVeAaQbJvz0bSu1jOAZNOcD4710RH4kLFI5Pyre+aZZ3TPPfek/PujMWRMYsJp2DDhNFzCMvXwYjHhNHyYcBouo3msp3P9Djx8XKzRCh8AAGD0WJ1wCgAAcCGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFG5thswpam1S/PWN6p3MKmCnIh21VWrqqLYdltpaz/Tr689+4ZOtvdoUlmhfnTPp1U2Ls92W2lr6+zTws2vqrWjTxWl+dpy3yyVl+TbbittruxXbze3645Ne5WUFJG07f45un5qme220ubKfuXKOiTp0MkOzd+4R4NJKSci7VwyVx+fVGq7rbSdaOtWzYZGdfUOqrggRw1Lq3V5eZHtttLW/N4ZzVvfqO7+hIryotpVV62pl40z3kckmUwmjT/qBcTjcZWVlam9vV2xWCyQf/Oq5TuUOM8qoxHpaH1tII9hQvV3Xtbv3+8ecfsV44vU+NCfW+goMzNX79apzr4Rt08oyde+R2+10FFmXNmvrly2w/O+Y+uyZx2u7FeurENyZ9+6+pGd6hscebDn50R0eM18Cx1lZtrDOzSQGHl7blQ6svbit0c612/n33bxukBIUiI5dH828AoekvT797tV/Z2XDXeUGa8TqySd6uzTzNW7DXeUGVf2qwtdHPzcHxau7FeurENyZ9/yCh6S1DeY1NWP7DTcUWa8gockDSSG7jfJ6fDR1NrleYEYlkgO1YVZ+5l+z+Ax7Pfvd6v9TL+hjjLT1tnneWIddqqzT20pamxzZb96u7k90DpbXNmvXFmHNPRWS5B1tpxo6/YMHsP6BpM60Xbh87Ntze+d8QwewwYSQ3WmOB0+5q1vDLTOlq89+0agdbYs3PxqoHW2uLJf3bFpb6B1triyX7myDkmav3FPoHW21Gzwdwz7rbMljOcsp8NHb4rEmm6dLSfbewKts6W1w98zNr91triyX/ntLtyrcGe/cmUdkuR31w/5IaKu3sFA62zp7k/xskeadUFwOnwU5EQCrbNlUllhoHW2VJT6+7S+3zpbXNmv/HYX7lW4s1+5sg5p6FstQdbZUlyQE2idLUV5/i71fuuC4HT42FVXHWidLT+659OB1tmy5b5ZgdbZ4sp+te3+OYHW2eLKfuXKOqShr9MGWWdLw1J/x7DfOlvCeM5yOnxUVRQrmiJZRyMK/VyGsnF5umL8hb9PfsX4otDP+ygvydeEFLMKJpTkh36egSv7ld85HmGf9+HKfuXKOiT5nuMR9nkfl5cXKT/FyzP5OZHQz/uYetk45aa42udGZXTeh9PhQxqat+B1ocimeQyND/25ZwDJpjkf+x691fMEm01zDFzZr1LNWsiWWQyu7FeurENyZ986vGa+ZwDJpjkfR9bWegaQoOZ8pGNMDBmT3JlEyYTTcHFlv2LCabi4sg6JCadhM5oTTtO5fo+Z8AEAAEYPE04BAEBoET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARuXabuCPDQ9cjcfjljsBAAB+DV+3/QxOD1346OjokCRNmTLFcicAACBdHR0dKiu78P8NFbr/2yWRSOjkyZMqLS1VJJLi/y0fo+LxuKZMmaLjx4/z/9+EANsjXNge4cM2CZfR2h7JZFIdHR2aNGmSotELf6ojdK98RKNRTZ482XYbWSEWi3EghwjbI1zYHuHDNgmX0dgeqV7xGMYHTgEAgFGEDwAAYBThIwsVFBToW9/6lgoKCmy3ArE9wobtET5sk3AJw/YI3QdOAQCA23jlAwAAGEX4AAAARhE+AACAUYQPAABgFOEji9TX12vmzJkqLS1VRUWF7rzzTh06dMh2W/jQunXrFIlE9MADD9huZcw6ceKE/uZv/kbjx49XUVGRrr/+ev3P//yP7bbGpMHBQa1YsUJVVVUqKirSRz/6Ua1atcrX//uBYOzZs0ef//znNWnSJEUiEb3wwgvn3J9MJvXNb35TH/nIR1RUVKRbbrlFv/vd74z0RvjIIo2NjVq0aJFee+017d69W/39/brtttvU1dVlu7Uxb9++ffrhD3+oGTNm2G5lzPrggw80e/Zs5eXlqaGhQQcOHNB3v/tdXXrppbZbG5Mee+wxPfnkk3riiSd08OBBPfbYY3r88ce1ceNG262NGV1dXfrkJz+pH/zgB+e9//HHH9eGDRv01FNP6fXXX1dxcbFuv/129fT0jHpvfNU2i506dUoVFRVqbGzU3LlzbbczZnV2durGG2/Upk2btHr1an3qU5/S97//fdttjTnLli3TL37xC73yyiu2W4GkBQsWaOLEifq3f/u3s7f9xV/8hYqKivTTn/7UYmdjUyQS0datW3XnnXdKGnrVY9KkSfrHf/xH/dM//ZMkqb29XRMnTtSzzz6rhQsXjmo/vPKRxdrb2yVJ5eXlljsZ2xYtWqTa2lrdcssttlsZ07Zt26abbrpJX/ziF1VRUaEbbrhBTz/9tO22xqxZs2bppZde0uHDhyVJv/nNb7R3717V1NRY7gyS1NTUpJaWlnPOW2VlZfrMZz6jX/7yl6P++KH7j+XgTyKR0AMPPKDZs2fruuuus93OmLVlyxb96le/0r59+2y3MuYdPXpUTz75pL7+9a/r4Ycf1r59+7R06VLl5+frq1/9qu32xpxly5YpHo/rmmuuUU5OjgYHB7VmzRrdfffdtluDpJaWFknSxIkTz7l94sSJZ+8bTYSPLLVo0SL99re/1d69e223MmYdP35cdXV12r17twoLC223M+YlEgnddNNNWrt2rSTphhtu0G9/+1s99dRThA8Lnn/+ef3sZz/Tc889p0984hPav3+/HnjgAU2aNIntAd52yUaLFy/W9u3b9fOf/1yTJ0+23c6Y9eabb6q1tVU33nijcnNzlZubq8bGRm3YsEG5ubkaHBy03eKY8pGPfETXXnvtObdNnz5dzc3Nljoa2x566CEtW7ZMCxcu1PXXX68vf/nLevDBB1VfX2+7NUiqrKyUJL377rvn3P7uu++evW80ET6ySDKZ1OLFi7V161a9/PLLqqqqst3SmPa5z31Ob7/9tvbv33/256abbtLdd9+t/fv3Kycnx3aLY8rs2bNHfPX88OHDuuKKKyx1NLadOXNG0ei5l5icnBwlEglLHeEPVVVVqbKyUi+99NLZ2+LxuF5//XXdfPPNo/74vO2SRRYtWqTnnntO//mf/6nS0tKz78uVlZWpqKjIcndjT2lp6YjP2xQXF2v8+PF8DseCBx98ULNmzdLatWv1pS99SW+88YY2b96szZs3225tTPr85z+vNWvWaOrUqfrEJz6hX//61/re976nr33ta7ZbGzM6Ozt15MiRs39uamrS/v37VV5erqlTp+qBBx7Q6tWr9bGPfUxVVVVasWKFJk2adPYbMaMqiawh6bw/zzzzjO3W8KHq6upkXV2d7TbGrP/6r/9KXnfddcmCgoLkNddck9y8ebPtlsaseDyerKurS06dOjVZWFiYvOqqq5KPPPJIsre313ZrY8bPf/7z814zvvrVryaTyWQykUgkV6xYkZw4cWKyoKAg+bnPfS556NAhI70x5wMAABjFZz4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABG/X9cbiU2rjq//QAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1. -0.00167306]\n",
" [-0.00167306 1. ]]\n"
]
}
],
"source": [
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "66cdb488-5c65-4405-aaf8-6910e102c8d6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "e6c8bce9-8799-4ac1-b15c-136804e1af72",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = [11-i for i in x]\n",
"plt.hist(y, bins=10, color='tab:red')\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "819bd871-a6d6-40d9-95fc-7f63ba344846",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1. -1.]\n",
" [-1. 1.]]\n"
]
}
],
"source": [
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 79,
"id": "fd5d2c8e-ec6b-48cd-a0cf-376ebeace09a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; x = []\n",
"for i in range(N):\n",
" xi = rnd.randint(a, b)\n",
" x.append(xi)\n",
" \n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "a25d0bcf-2a77-4231-bb70-7b588a126471",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = [i for i in x]\n",
"plt.hist(y, bins=10, color='tab:red')\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "a070abc7-1d5f-4d06-a17c-f77147d3e5e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAYtUlEQVR4nO3df2zU9f3A8VehWhpoq5JQaKjSGTNUkKEQIyTuD/lqTEdg2VzYFzfn/liylEH9tZVNWIxgi5l+jdOhmEVJlBmTpeokbjFoYE5F0JVoXECj1UYC+ofrUZyNX3rfP9jKt/zqIXfvu/Yej+T+uM+94fNKLnrPfN53Hyqy2Ww2AAASGVPsAQCA8iI+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgqcpiD3C0gYGB2Lt3b9TU1ERFRUWxxwEAcpDNZuPAgQPR0NAQY8ac/NpGycXH3r17o7GxsdhjAABfQU9PT0ydOvWka0ouPmpqaiLi8PC1tbVFngYAyEUmk4nGxsbBz/GTKbn4+M9WS21trfgAgBEml69M+MIpAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKRK7iZjAEBhfKdjc7zxzyPPLzsr4o9tzcnnOOUrH9u2bYuFCxdGQ0NDVFRUxNNPPz3k9Ww2G6tXr44pU6ZEdXV1LFiwIN599918zQsAfAXT2oaGR0TEG/88fDy1U46PgwcPxqxZs+LBBx887ut333133H///fHQQw/F9u3bY/z48XHNNdfEF198cdrDAgCnbrjASB0gFdlsNvuV/3BFRXR2dsbixYsj4vBVj4aGhrjlllvi1ltvjYiI3t7eqK+vj8ceeyyWLFky7N+ZyWSirq4uent7/dsuAHCajt5qOZHT3YI5lc/vvH7h9IMPPoh9+/bFggULBo/V1dXF5ZdfHq+++upx/0x/f39kMpkhDwAgP3IJj1NZlw95jY99+/ZFRER9ff2Q4/X19YOvHa29vT3q6uoGH42NjfkcCQAoMUX/qe3KlSujt7d38NHT01PskQCAAsprfEyePDkiIvbv3z/k+P79+wdfO1pVVVXU1tYOeQAA+XHZWfldlw95jY+mpqaYPHlybNmyZfBYJpOJ7du3xxVXXJHPUwEAOcj1S6Qp7/dxyvHR19cXXV1d0dXVFRGHv2Ta1dUVH330UVRUVERra2usWbMmnn322Xjrrbfihz/8YTQ0NAz+IgYASKu74+RhMdzr+XbK8bFz586YPXt2zJ49OyIibr755pg9e3asXr06IiJ+/vOfx89+9rP4yU9+EnPnzo2+vr7485//HOPGjcvv5ABAzro7mo/ZWrnsrPThEXGa9/koBPf5AICRp2j3+QAAGI74AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSqiz2AABQ6hat2Ry7+o48nzUh4pnbm4s30AjnygcAnMS0tqHhERGxq+/wcb4a8QEAJzBcYAiQr0Z8AMBxLFqTW1jkuo4jxAcAHMfRWy2nu44jxAcAkJT4AACSEh8AcByzJuR3HUeIDwA4jlzv4+F+H6dOfADACXR3nDwshnud4xMfAHAS3R3Nx2ytzJogPE6H26sDwDBsreSXKx8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFKVxR4AgNFr0ZrNsavvyPNZEyKeub25eANREvJ+5ePQoUOxatWqaGpqiurq6jj//PPjzjvvjGw2m+9TAVDCprUNDY+IiF19h49T3vJ+5WPdunWxfv362LhxY1x88cWxc+fOuPHGG6Ouri6WL1+e79MBUIKGC4xpbZuju8MVkHKV9ysfr7zySixatCiam5tj2rRp8d3vfjeuvvrqeP311/N9KgBK0KI1uV3ZyHUdo0/e42PevHmxZcuW2LNnT0RE7Nq1K15++eW49tprj7u+v78/MpnMkAcAI9fRWy2nu47RJ+/bLm1tbZHJZGL69OkxduzYOHToUKxduzaWLl163PXt7e1xxx135HsMAKBE5f3Kx1NPPRVPPPFEbNq0Kd58883YuHFj/OY3v4mNGzced/3KlSujt7d38NHT05PvkQCAEpL3Kx+33XZbtLW1xZIlSyIiYubMmfHhhx9Ge3t73HDDDcesr6qqiqqqqnyPAUCRzJqQ25bKrAmFn4XSlPcrH59//nmMGTP0rx07dmwMDAzk+1QAlKBc7+Phfh/lK+/xsXDhwli7dm1s3rw5uru7o7OzM+6999749re/ne9TAVCihvsZrZ/ZlreKbJ7v/nXgwIFYtWpVdHZ2xieffBINDQ3x/e9/P1avXh1nnnnmsH8+k8lEXV1d9Pb2Rm1tbT5HAyAxdzgtH6fy+Z33+Dhd4gMARp5T+fz2D8sBAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAElVFnsAAIZatGZz7Oo78nzWhIhnbm8u3kCQZ658AJSQaW1DwyMiYlff4eMwWogPgBIxXGAIEEYL8QFQAhatyS0scl0HpUx8AJSAo7daTncdlDLxAQAkJT4AgKTEB0AJmDUhv+uglIkPgBKQ63083O+D0UB8AJSI7o6Th8Vwr8NIIT4ASkh3R/MxWyuzJggPRhe3VwcoMbZWGO1c+QAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBSlcUeACBfvtOxOd7455Hnl50V8ce25mKNA5xAQa58fPzxx3H99dfHxIkTo7q6OmbOnBk7d+4sxKkAIiJiWtvQ8IiIeOOfh48DpSXv8fHZZ5/F/Pnz44wzzojnn38+3nnnnbjnnnvi7LPPzvepACJi+MAQIFBa8r7tsm7dumhsbIxHH3108FhTU1O+TwMQEYe3WnJdZwsGSkPer3w8++yzMWfOnLjuuuti0qRJMXv27HjkkUdOuL6/vz8ymcyQB0Cujt5qOd11QOHlPT7ef//9WL9+fVxwwQXxl7/8JX7605/G8uXLY+PGjcdd397eHnV1dYOPxsbGfI8EAJSQimw2m83nX3jmmWfGnDlz4pVXXhk8tnz58tixY0e8+uqrx6zv7++P/v7+weeZTCYaGxujt7c3amtr8zkaMAqdyvc5ujtsu0ChZDKZqKury+nzO+9XPqZMmRIXXXTRkGMXXnhhfPTRR8ddX1VVFbW1tUMeALm67Kz8rgMKL+/xMX/+/Ni9e/eQY3v27Inzzjsv36cCyPlLpL5sCqUj7/Fx0003xWuvvRZ33XVXvPfee7Fp06bYsGFDtLS05PtUABEx/HaK7RYoLXmPj7lz50ZnZ2f84Q9/iBkzZsSdd94Z9913XyxdujTfpwIY1N3RfMzWymVnCQ8oRXn/wunpOpUvrAAApaGoXzgFADgZ8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACCpymIPABTfojWbY1ffkeezJkQ8c3tz8QYCRjVXPqDMTWsbGh4REbv6Dh8HKATxAWVsuMAQIEAhiA8oU4vW5BYWua4DyJX4gDJ19FbL6a4DyJX4AACSEh8AQFLiA8rUrAn5XQeQK/EBZSrX+3i43weQb+IDylh3x8nDYrjXAb4K8QFlrruj+ZitlVkThAdQOG6vDthaAZJy5QMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASKqy2APASPZfv9wc7w4ceX7BmIgX7mou3kAAI0DBr3x0dHRERUVFtLa2FvpUkNS0tqHhERHx7sDh4wCcWEHjY8eOHfHwww/HJZdcUsjTQHLDBYYAATixgsVHX19fLF26NB555JE4++yzC3UaSO6/fplbWOS6DqDcFCw+Wlpaorm5ORYsWHDSdf39/ZHJZIY8oJQdvdVyuusAyk1BvnD65JNPxptvvhk7duwYdm17e3vccccdhRgDAChBeb/y0dPTEytWrIgnnngixo0bN+z6lStXRm9v7+Cjp6cn3yMBACUk71c+3njjjfjkk0/i0ksvHTx26NCh2LZtWzzwwAPR398fY8eOHXytqqoqqqqq8j0GFMwFY3LbUrnAXXQAjqsim81m8/kXHjhwID788MMhx2688caYPn16/OIXv4gZM2ac9M9nMpmoq6uL3t7eqK2tzedokDe5/Jqlu8P9PoDycSqf33m/8lFTU3NMYIwfPz4mTpw4bHjASNHd0XzSABEeACfmwjB8Rd0dzcdsrVwwRngADCfv2y6ny7YLAIw8p/L57coHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkqos9gCUp//+n83xyv4jz+fVR2y6qbl4AwGQjCsfJDetbWh4RES8sv/wcQBGP/FBUsMFhgABGP3EB8n89//kFha5rgNgZBIfJHP0VsvprgNgZBIfAEBS4gMASEp8kMy8+vyuA2BkEh8kk+t9PNzvA2B0Ex8k1d1x8rAY7nUARj7xQXLdHc3HbK3MqxceAOXC7dUpClsrAOXLlQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AIKnKYg/AqZnXtjn2/r/nDRHxSkdzscYBgFOW9ysf7e3tMXfu3KipqYlJkybF4sWLY/fu3fk+TVmadlR4RETs/fdxABgp8h4fW7dujZaWlnjttdfihRdeiC+//DKuvvrqOHjwYL5PVVaGCwwBAsBIUZHNZrOFPMGnn34akyZNiq1bt8aVV1457PpMJhN1dXXR29sbtbW1hRxtxDh6q+VEbMEAUCyn8vld8O989Pb2RkTEOeecc9zX+/v7o7+/f/B5JpMp9EgjTi7hcSrrAKCYCvprl4GBgWhtbY358+fHjBkzjrumvb096urqBh+NjY2FHAkAKLKCxkdLS0u8/fbb8eSTT55wzcqVK6O3t3fw0dPTU8iRAIAiK9i2y7Jly+K5556Lbdu2xdSpU0+4rqqqKqqqqgo1xqjQELltqTQUehAAyIO8X/nIZrOxbNmy6OzsjBdffDGampryfYqyk+uXSH3ZFICRIO/x0dLSEo8//nhs2rQpampqYt++fbFv377417/+le9TlZXuYcJiuNcBoFTk/ae2FRUVxz3+6KOPxo9+9KNh/7yf2p6cO5wCUIqK+lPbAt82pOwJDQBGOv+wHACQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQVGWxB0jlmts3x+7/PfL865URf1nTXLyBAKBMlcWVj2ltQ8MjImL3/x4+DgCkNerjY7jAECAAkNaojo9rbs8tLHJdBwCcvlEdH0dvtZzuOgDg9I3q+AAASo/4AACSGtXx8fUcf0ic6zoA4PSN6vjI9T4e7vcBAOmM6viIiOjuOHlYDPc6AJBfoz4+Ig4HxtFbK1+vFB4AUAxl820HWysAUBrK4soHAFA6xAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApEruDqfZbDYiIjKZTJEnAQBy9Z/P7f98jp9MycXHgQMHIiKisbGxyJMAAKfqwIEDUVdXd9I1FdlcEiWhgYGB2Lt3b9TU1ERFRUWxxylJmUwmGhsbo6enJ2pra4s9TtnzfpQW70fp8Z6UlkK9H9lsNg4cOBANDQ0xZszJv9VRclc+xowZE1OnTi32GCNCbW2t/5BLiPejtHg/So/3pLQU4v0Y7orHf/jCKQCQlPgAAJISHyNQVVVV/PrXv46qqqpij0J4P0qN96P0eE9KSym8HyX3hVMAYHRz5QMASEp8AABJiQ8AICnxAQAkJT5GkPb29pg7d27U1NTEpEmTYvHixbF79+5ij8W/dXR0REVFRbS2thZ7lLL18ccfx/XXXx8TJ06M6urqmDlzZuzcubPYY5WlQ4cOxapVq6KpqSmqq6vj/PPPjzvvvDOnf/eD/Ni2bVssXLgwGhoaoqKiIp5++ukhr2ez2Vi9enVMmTIlqqurY8GCBfHuu+8mmU18jCBbt26NlpaWeO211+KFF16IL7/8Mq6++uo4ePBgsUcrezt27IiHH344LrnkkmKPUrY+++yzmD9/fpxxxhnx/PPPxzvvvBP33HNPnH322cUerSytW7cu1q9fHw888ED84x//iHXr1sXdd98dv/3tb4s9Wtk4ePBgzJo1Kx588MHjvn733XfH/fffHw899FBs3749xo8fH9dcc0188cUXBZ/NT21HsE8//TQmTZoUW7dujSuvvLLY45Stvr6+uPTSS+N3v/tdrFmzJr7xjW/EfffdV+yxyk5bW1v87W9/i7/+9a/FHoWI+Na3vhX19fXx+9//fvDYd77znaiuro7HH3+8iJOVp4qKiujs7IzFixdHxOGrHg0NDXHLLbfErbfeGhERvb29UV9fH4899lgsWbKkoPO48jGC9fb2RkTEOeecU+RJyltLS0s0NzfHggULij1KWXv22Wdjzpw5cd1118WkSZNi9uzZ8cgjjxR7rLI1b9682LJlS+zZsyciInbt2hUvv/xyXHvttUWejIiIDz74IPbt2zfk/1t1dXVx+eWXx6uvvlrw85fcPyxHbgYGBqK1tTXmz58fM2bMKPY4ZevJJ5+MN998M3bs2FHsUcre+++/H+vXr4+bb745fvnLX8aOHTti+fLlceaZZ8YNN9xQ7PHKTltbW2QymZg+fXqMHTs2Dh06FGvXro2lS5cWezQiYt++fRERUV9fP+R4fX394GuFJD5GqJaWlnj77bfj5ZdfLvYoZaunpydWrFgRL7zwQowbN67Y45S9gYGBmDNnTtx1110RETF79ux4++2346GHHhIfRfDUU0/FE088EZs2bYqLL744urq6orW1NRoaGrwf2HYZiZYtWxbPPfdcvPTSSzF16tRij1O23njjjfjkk0/i0ksvjcrKyqisrIytW7fG/fffH5WVlXHo0KFij1hWpkyZEhdddNGQYxdeeGF89NFHRZqovN12223R1tYWS5YsiZkzZ8YPfvCDuOmmm6K9vb3YoxERkydPjoiI/fv3Dzm+f//+wdcKSXyMINlsNpYtWxadnZ3x4osvRlNTU7FHKmtXXXVVvPXWW9HV1TX4mDNnTixdujS6urpi7NixxR6xrMyfP/+Yn57v2bMnzjvvvCJNVN4+//zzGDNm6EfM2LFjY2BgoEgT8f81NTXF5MmTY8uWLYPHMplMbN++Pa644oqCn9+2ywjS0tISmzZtimeeeSZqamoG9+Xq6uqiurq6yNOVn5qammO+bzN+/PiYOHGi7+EUwU033RTz5s2Lu+66K773ve/F66+/Hhs2bIgNGzYUe7SytHDhwli7dm2ce+65cfHFF8ff//73uPfee+PHP/5xsUcrG319ffHee+8NPv/ggw+iq6srzjnnnDj33HOjtbU11qxZExdccEE0NTXFqlWroqGhYfAXMQWVZcSIiOM+Hn300WKPxr9985vfzK5YsaLYY5StP/3pT9kZM2Zkq6qqstOnT89u2LCh2COVrUwmk12xYkX23HPPzY4bNy77ta99LfurX/0q29/fX+zRysZLL7103M+MG264IZvNZrMDAwPZVatWZevr67NVVVXZq666Krt79+4ks7nPBwCQlO98AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICk/g+uwD7JFX08ggAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 1.]\n",
" [1. 1.]]\n"
]
}
],
"source": [
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"id": "e6e27aed-200f-4af5-be89-17f144dd2709",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.96303935]\n",
" [0.96303935 1. ]]\n"
]
}
],
"source": [
"y = [rnd.randint(-1, 1) + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 84,
"id": "3d033064-708b-48b3-8a97-2e0286efcf79",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.90517053]\n",
" [0.90517053 1. ]]\n"
]
}
],
"source": [
"y = [rnd.randint(-2, 2) + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "e329306d-e8ba-40ed-a388-7838e30414eb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.82146283]\n",
" [0.82146283 1. ]]\n"
]
}
],
"source": [
"y = [rnd.randint(-3, 3) + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "e742099c-3eb4-447e-8f6b-249bfc7bec4c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.74005197]\n",
" [0.74005197 1. ]]\n"
]
}
],
"source": [
"y = [rnd.randint(-4, 4) + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "2054559a-2461-47ad-b372-bb80cceddfe8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.66332855]\n",
" [0.66332855 1. ]]\n"
]
}
],
"source": [
"y = [rnd.randint(-5, 5) + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 91,
"id": "38cfc14b-babf-4f97-a7f5-599780c3f00d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.99373161]\n",
" [0.99373161 1. ]]\n"
]
}
],
"source": [
"N = 100; a = 1; b = 100; x = []\n",
"for i in range(N):\n",
" xi = 0.1 * rnd.randint(a, b)\n",
" x.append(xi)\n",
"\n",
"y = [0.1* rnd.randint(-5, 5)\n",
" + i for i in x]\n",
"\n",
"plt.scatter(x, y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x, y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2eb1791d-1efd-4d65-bead-44fd12d98b12",
"metadata": {},
"outputs": [],
"source": [
"# Firman Andrian\n",
"# 21181094"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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