{"id":3811,"date":"2023-07-15T09:50:14","date_gmt":"2023-07-15T09:50:14","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b3%d0%be%d0%bb%d0%b4%d1%84%d0%b5%d0%bb%d1%8c%d0%b4-%d0%bf%d1%80%d0%b8-%d1%82%d0%b5%d1%81%d1%82%d0%b8%d1%80%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d0%b8-python\/"},"modified":"2023-07-15T09:50:14","modified_gmt":"2023-07-15T09:50:14","slug":"%d0%b3%d0%be%d0%bb%d0%b4%d1%84%d0%b5%d0%bb%d1%8c%d0%b4-%d0%bf%d1%80%d0%b8-%d1%82%d0%b5%d1%81%d1%82%d0%b8%d1%80%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d0%b8-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b3%d0%be%d0%bb%d0%b4%d1%84%d0%b5%d0%bb%d1%8c%d0%b4-%d0%bf%d1%80%d0%b8-%d1%82%d0%b5%d1%81%d1%82%d0%b8%d1%80%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d0%b8-python\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0433\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u043a\u0432\u0430\u043d\u0434\u0442\u0430 \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0422\u0435\u0441\u0442 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430<\/strong> \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043d\u0430\u043b\u0438\u0447\u0438\u044f <a href=\"https:\/\/statorials.org\/ru\/\u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f\/\" target=\"_blank\" rel=\"noopener\">\u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438<\/a> \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0413\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u043a \u043d\u0435\u0440\u0430\u0432\u043d\u043e\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 <a href=\"https:\/\/statorials.org\/ru\/\u043e\u0441\u0442\u0430\u0442\u043e\u043a\/\" target=\"_blank\" rel=\"noopener\">\u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432<\/a> \u043d\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u0443\u0440\u043e\u0432\u043d\u044f\u0445 <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u043f\u043e\u044f\u0441\u043d\u044f\u044e\u0449\u0438\u0435-\u043e\u0442\u0432\u0435\u0442\u044b\/\" target=\"_blank\" rel=\"noopener\">\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430<\/a> \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0415\u0441\u043b\u0438 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c, \u044d\u0442\u043e \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442 \u043e\u0434\u043d\u043e \u0438\u0437 <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f-\u043b\u0438\u043d\u0435\u0438\u043d\u043e\u0438-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438\/\" target=\"_blank\" rel=\"noopener\">\u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/a> \u043e \u0442\u043e\u043c, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0430\u043d\u044b \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u0441\u0442\u0430 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430 \u0432 Python.<\/span><\/p>\n<h2> <strong>\u0428\u0430\u0433 1. \u0421\u043e\u0437\u0434\u0430\u0439\u0442\u0435 \u043d\u0430\u0431\u043e\u0440 \u0434\u0430\u043d\u043d\u044b\u0445<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u0412 \u044d\u0442\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0441\u043e\u0437\u0434\u0430\u0434\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 DataFrame pandas, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0431\u0443\u0434\u0435\u0442 \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0442\u044c \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e \u043e\u0431 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0447\u0430\u0441\u0430\u0445, \u0441\u0434\u0430\u043d\u043d\u044b\u0445 \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0445 \u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u0445 \u0432\u044b\u043f\u0443\u0441\u043a\u043d\u044b\u0445 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0445 13 \u0443\u0447\u0435\u043d\u0438\u043a\u0430\u043c\u0438 \u0432 \u043a\u043b\u0430\u0441\u0441\u0435:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">hours<\/span> ': [1, 2, 2, 4, 2, 1, 5, 4, 2, 4, 4, 3, 6],\n                   ' <span style=\"color: #ff0000;\">exams<\/span> ': [1, 3, 3, 5, 2, 2, 1, 1, 0, 3, 4, 3, 2],\n                   ' <span style=\"color: #ff0000;\">score<\/span> ': [76, 78, 85, 88, 72, 69, 94, 94, 88, 92, 90, 75, 96]})\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n    hours exam score\n0 1 1 76\n1 2 3 78\n2 2 3 85\n3 4 5 88\n4 2 2 72\n5 1 2 69\n6 5 1 94\n7 4 1 94\n8 2 0 88\n9 4 3 92\n10 4 4 90\n11 3 3 75\n12 6 2 96<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 2. \u041f\u043e\u0434\u0431\u0435\u0440\u0438\u0442\u0435 \u043c\u043e\u0434\u0435\u043b\u044c \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043f\u043e\u0434\u0431\u0435\u0440\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <strong>\u0447\u0430\u0441\u044b<\/strong> \u0438 <strong>\u044d\u043a\u0437\u0430\u043c\u0435\u043d\u044b<\/strong> \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u0430 <strong>\u0431\u0430\u043b\u043b<\/strong> \u2014 \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define predictor and response variables\n<\/span>y = df[' <span style=\"color: #ff0000;\">score<\/span> ']\nx = df[[' <span style=\"color: #ff0000;\">hours<\/span> ', ' <span style=\"color: #ff0000;\">exams<\/span> ']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\n                            OLS Regression Results                            \n==================================================== ============================\nDept. Variable: R-squared score: 0.718\nModel: OLS Adj. R-squared: 0.661\nMethod: Least Squares F-statistic: 12.70\nDate: Mon, 31 Oct 2022 Prob (F-statistic): 0.00180\nTime: 09:22:56 Log-Likelihood: -38.618\nNo. Observations: 13 AIC: 83.24\nDf Residuals: 10 BIC: 84.93\nModel: 2                                         \nCovariance Type: non-robust                                         \n==================================================== ============================\n                 coef std err t P&gt;|t| [0.025 0.975]\n-------------------------------------------------- ----------------------------\nconst 71.4048 4.001 17.847 0.000 62.490 80.319\nhours 5.1275 1.018 5.038 0.001 2.860 7.395\nexams -1.2121 1.147 -1.057 0.315 -3.768 1.344\n==================================================== ============================\nOmnibus: 1,103 Durbin-Watson: 1,248\nProb(Omnibus): 0.576 Jarque-Bera (JB): 0.803\nSkew: -0.289 Prob(JB): 0.669\nKurtosis: 1.928 Cond. No. 11.7\n==================================================== ============================\n<\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 3. \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0442\u0435\u0441\u0442 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430.<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 <strong>statsmodels<\/strong> <strong>het_goldfeldquandt()<\/strong> \u0434\u043b\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u0441\u0442\u0430 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0447\u0430\u043d\u0438\u0435<\/strong> . \u0422\u0435\u0441\u0442 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430 \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u043f\u0443\u0442\u0435\u043c \u0443\u0434\u0430\u043b\u0435\u043d\u0438\u044f \u0440\u044f\u0434\u0430 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u0432 \u0446\u0435\u043d\u0442\u0440\u0435 \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445, \u0430 \u0437\u0430\u0442\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438, \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043b\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u043e\u0442 \u0434\u0432\u0443\u0445 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u043d\u0430\u0431\u043e\u0440\u043e\u0432 \u0434\u0430\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u043f\u043e \u043e\u0431\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043e\u0442 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0431\u044b\u0447\u043d\u043e \u043c\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0438\u0442\u0430\u0435\u043c \u0443\u0434\u0430\u043b\u0438\u0442\u044c \u043e\u043a\u043e\u043b\u043e 20% \u043e\u0442 \u043e\u0431\u0449\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442 <strong>drop<\/strong> , \u0447\u0442\u043e\u0431\u044b \u0443\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0443\u0434\u0430\u043b\u0438\u0442\u044c 20% \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Goldfeld-Quandt test\n<\/span>sm. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">diagnosis<\/span> . <span style=\"color: #3366ff;\">het_goldfeldquandt<\/span> (y, x, drop= <span style=\"color: #008000;\">0.2<\/span> )\n\n(1.7574505407790355, 0.38270288684680076, 'increasing')<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0412\u043e\u0442 \u043a\u0430\u043a \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u0442\u0435\u0441\u0442\u0430 \u0440\u0430\u0432\u043d\u0430 <b>1,757<\/b> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0421\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 <strong>0,383<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0422\u0435\u0441\u0442 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043d\u0443\u043b\u0435\u0432\u044b\u0435 \u0438 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u044b\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u041d\u0443\u043b\u044c (H <sub>0<\/sub> )<\/strong> : \u0413\u043e\u043c\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0410\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u0430 ( <sub>HA<\/sub> ):<\/strong> \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u043d\u0435 \u043c\u0435\u043d\u044c\u0448\u0435 0,05, \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0423 \u043d\u0430\u0441 \u043d\u0435\u0442 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u044b\u0445 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432, \u0447\u0442\u043e\u0431\u044b \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0430\u0442\u044c, \u0447\u0442\u043e \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/p>\n<h2> <strong>\u0427\u0442\u043e \u0434\u0435\u043b\u0430\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u043d\u0435 \u0443\u0434\u0430\u0441\u0442\u0441\u044f \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443 \u0442\u0435\u0441\u0442\u0430 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430, \u0442\u043e \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u043d\u0435\u0442 \u0438 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0438\u0441\u0442\u0443\u043f\u0438\u0442\u044c \u043a \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0434\u043d\u0430\u043a\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u043e\u0442\u043a\u043b\u043e\u043d\u0438\u0442\u0435 \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0432 \u0434\u0430\u043d\u043d\u044b\u0445 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b\u0435 \u043e\u0448\u0438\u0431\u043a\u0438, \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c\u044b\u0435 \u0432 \u0432\u044b\u0445\u043e\u0434\u043d\u043e\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u043d\u0435\u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u044b\u043c\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0445 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b, \u0432 \u0442\u043e\u043c \u0447\u0438\u0441\u043b\u0435:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0439\u0442\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u043e\u0442\u0432\u0435\u0442\u0430.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u0437\u044f\u0432 <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c-\u0434\u0430\u043d\u043d\u044b\u0435-\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0439, \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0438\u043b\u0438 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c<\/a> \u0438\u0437 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430. \u041a\u0430\u043a \u043f\u0440\u0430\u0432\u0438\u043b\u043e, \u044d\u0442\u043e \u043c\u043e\u0436\u0435\u0442 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u043a \u0438\u0441\u0447\u0435\u0437\u043d\u043e\u0432\u0435\u043d\u0438\u044e \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435 \u0432\u0437\u0432\u0435\u0448\u0435\u043d\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u0437\u0432\u0435\u0448\u0435\u043d\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043f\u0440\u0438\u0441\u0432\u0430\u0438\u0432\u0430\u0435\u0442 \u0432\u0435\u0441 \u043a\u0430\u0436\u0434\u043e\u0439 \u0442\u043e\u0447\u043a\u0435 \u0434\u0430\u043d\u043d\u044b\u0445 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0435\u0435 \u043f\u043e\u0434\u043e\u0431\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u041f\u043e \u0441\u0443\u0442\u0438, \u044d\u0442\u043e \u043f\u0440\u0438\u0434\u0430\u0435\u0442 \u043d\u0438\u0437\u043a\u0438\u0439 \u0432\u0435\u0441 \u0442\u043e\u0447\u043a\u0430\u043c \u0434\u0430\u043d\u043d\u044b\u0445 \u0441 \u0431\u043e\u043b\u0435\u0435 \u0432\u044b\u0441\u043e\u043a\u0438\u043c\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f\u043c\u0438, \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u044f \u0438\u0445 \u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u044b\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u0432\u0435\u0441\u043e\u0432 \u0432\u0437\u0432\u0435\u0448\u0435\u043d\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0443\u0441\u0442\u0440\u0430\u043d\u0438\u0442\u044c \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0435\u0441\u0443\u0440\u0441\u044b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430\u0445 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0434\u0440\u0443\u0433\u0438\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0432 Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ru\/\u043e\u043b\u0441-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e OLS \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0433\u0440\u0430\u0444-\u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u044b\u0439 \u0433\u0440\u0430\u0444\u0438\u043a \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0431\u0435\u043b\u044b\u0438-\u0442\u0435\u0441\u0442-\u043d\u0430-\u043f\u0438\u0442\u043e\u043d\u0435\/\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0423\u0430\u0439\u0442\u0430 \u043d\u0430 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0431\u0440\u0435\u0443\u0448-\u043f\u0430\u0433\u0430\u043d-\u0442\u0435\u0441\u0442-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0411\u0440\u0435\u0443\u0448\u0430-\u041f\u044d\u0433\u0430\u043d\u0430 \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0422\u0435\u0441\u0442 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043d\u0430\u043b\u0438\u0447\u0438\u044f \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438. \u0413\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u043a \u043d\u0435\u0440\u0430\u0432\u043d\u043e\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u043d\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u0443\u0440\u043e\u0432\u043d\u044f\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438. \u0415\u0441\u043b\u0438 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c, \u044d\u0442\u043e \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442 \u043e\u0434\u043d\u043e \u0438\u0437 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043e \u0442\u043e\u043c, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0430\u043d\u044b \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430. \u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u0441\u0442\u0430 \u0413\u043e\u043b\u044c\u0434\u0444\u0435\u043b\u044c\u0434\u0430-\u041a\u0432\u0430\u043d\u0434\u0442\u0430 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3811","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site 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