{"id":2467,"date":"2023-07-22T03:25:54","date_gmt":"2023-07-22T03:25:54","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b1%d0%b5%d0%bb%d1%8b%d0%b8-%d1%82%d0%b5%d1%81%d1%82-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/"},"modified":"2023-07-22T03:25:54","modified_gmt":"2023-07-22T03:25:54","slug":"%d0%b1%d0%b5%d0%bb%d1%8b%d0%b8-%d1%82%d0%b5%d1%81%d1%82-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b1%d0%b5%d0%bb%d1%8b%d0%b8-%d1%82%d0%b5%d1%81%d1%82-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0443\u0430\u0439\u0442\u0430 \u043d\u0430 python (\u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0422\u0435\u0441\u0442 \u0423\u0430\u0439\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\u043c\u0435\u0440\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\u0432\u0435\u0442\u0430<\/a> , \u0447\u0442\u043e \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442 <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\">\u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435<\/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\u0432\u0435\u0442\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0423\u0430\u0439\u0442\u0430 \u0432 Python, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/p>\n<h3> <strong>\u0428\u0430\u0433 1. \u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u0412 \u044d\u0442\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043c\u044b \u043f\u043e\u0434\u0431\u0435\u0440\u0435\u043c <a href=\"https:\/\/statorials.org\/ru\/\u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f-\u043b\u0438\u043d\u0435\u0438\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f\/\" target=\"_blank\" rel=\"noopener\">\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<\/a> , \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043d\u0430\u0431\u043e\u0440 \u0434\u0430\u043d\u043d\u044b\u0445 <strong>mtcars<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044c \u044d\u0442\u043e\u0442 \u043d\u0430\u0431\u043e\u0440 \u0434\u0430\u043d\u043d\u044b\u0445 \u0432 DataFrame pandas:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">linear_model<\/span> <span style=\"color: #008000;\">import<\/span> LinearRegression\n<span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">diagnostic<\/span> <span style=\"color: #008000;\">import<\/span> het_white\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define URL where dataset is located\n<\/span>url = \"https:\/\/raw.githubusercontent.com\/Statorials\/Python-Guides\/main\/mtcars.csv\"\n\n<span style=\"color: #008080;\">#read in data\n<\/span>data = pd. <span style=\"color: #3366ff;\">read_csv<\/span> (url)\n\n<span style=\"color: #008080;\">#view summary of data\n<\/span>data. <span style=\"color: #3366ff;\">info<\/span> ()\n\n&lt;class 'pandas.core.frame.DataFrame'&gt;\nRangeIndex: 32 entries, 0 to 31\nData columns (total 12 columns):\n # Column Non-Null Count Dtype  \n--- ------ -------------- -----  \n 0 model 32 non-null object \n 1 mpg 32 non-null float64\n 2 cyl 32 non-null int64  \n 3 disp 32 non-null float64\n 4 hp 32 non-null int64  \n 5 drat 32 non-null float64\n 6 wt 32 non-null float64\n 7 qsec 32 non-null float64\n 8 vs 32 non-null int64  \n 9 am 32 non-null int64  \n 10 gear 32 non-null int64  \n 11 carb 32 non-null int64  \ndtypes: float64(5), int64(6), object(1)\n<\/strong><\/pre>\n<h3> <strong>\u0428\u0430\u0433&nbsp;2. \u041f\u043e\u0434\u0431\u0435\u0440\u0438\u0442\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043f\u043e\u0434\u0431\u0435\u0440\u0435\u043c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <strong>\u043c\u0438\u043b\u044c \u043d\u0430 \u0433\u0430\u043b\u043b\u043e\u043d<\/strong> \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430 \u0438 <strong>disp<\/strong> \u0438 <strong>hp<\/strong> \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445-\u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u0439:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define response variable\n<\/span>y = data[' <span style=\"color: #ff0000;\">mpg<\/span> ']\n\n<span style=\"color: #008080;\">#define predictor variables\n<\/span>x = data[[' <span style=\"color: #ff0000;\">disp<\/span> ', ' <span style=\"color: #ff0000;\">hp<\/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 regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433&nbsp;3. \u041f\u0440\u043e\u0432\u0435\u0434\u0438\u0442\u0435 \u0442\u0435\u0441\u0442 \u0423\u0430\u0439\u0442\u0430.<\/strong><\/span><\/h3>\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 <a href=\"https:\/\/www.statsmodels.org\/dev\/generated\/statsmodels.stats.diagnostic.het_white.html\" target=\"_blank\" rel=\"noopener\">het_white()<\/a> \u0438\u0437 \u043f\u0430\u043a\u0435\u0442\u0430 statsmodels, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0423\u0430\u0439\u0442\u0430, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u0432 \u043c\u043e\u0434\u0435\u043b\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform White's test\n<\/span>white_test = het_white(model. <span style=\"color: #3366ff;\">resid<\/span> , model. <span style=\"color: #3366ff;\">model<\/span> . <span style=\"color: #3366ff;\">exog<\/span> )\n\n<span style=\"color: #008080;\">#define labels to use for output of White's test\n<\/span>labels = ['Test Statistic', 'Test Statistic p-value', 'F-Statistic', 'F-Test p-value']\n\n<span style=\"color: #008080;\">#print results of White's test\n<span style=\"color: #008000;\">print<\/span><\/span> (dict(zip(labels, white_test)))\n\n{'Test Statistic': 7.076620330416624, 'Test Statistic p-value': 0.21500404394263936,\n 'F-Statistic': 1.4764621093131864, 'F-Test p-value': 0.23147065943879694}<\/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: <sup>X2<\/sup> = <strong>7,0766<\/strong> .<\/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>0,215<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0422\u0435\u0441\u0442 \u0423\u0430\u0439\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> : \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u043e\u043c\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c (\u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0430\u043d\u044b)<\/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 (\u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043d\u0435\u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u044b)<\/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;\">\u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0443 \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 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/p>\n<h3> <strong>\u0427\u0442\u043e \u0434\u0435\u043b\u0430\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/strong><\/h3>\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 \u0423\u0430\u0439\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\u0432\u0435\u0440\u0433\u043d\u0435\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 \u0441\u0443\u0449\u0435\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;\">\u0415\u0441\u0442\u044c \u0434\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0445 \u0441\u043f\u043e\u0441\u043e\u0431\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b:<\/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. \u0417\u0430\u0447\u0430\u0441\u0442\u0443\u044e \u044d\u0442\u043e \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \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. \u0418\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u0432\u0435\u0441\u043e\u0432 \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<h3> <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><\/h3>\n<p> <span style=\"color: #000000;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e \u043e \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0432 Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ru\/\u043b\u0438\u043d\u0435\u0438\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-python\/\" target=\"_blank\" rel=\"noopener\">\u041f\u043e\u043b\u043d\u043e\u0435 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u043e \u043f\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \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\/\u043a\u0430\u043a-\u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c-vive-\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c VIF \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0422\u0435\u0441\u0442 \u0423\u0430\u0439\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\u043c\u0435\u0440\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\u0432\u0435\u0442\u0430 , \u0447\u0442\u043e \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \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\u0432\u0435\u0442\u0430. \u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0442\u0435\u0441\u0442 \u0423\u0430\u0439\u0442\u0430 \u0432 Python, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0433\u0435\u0442\u0435\u0440\u043e\u0441\u043a\u0435\u0434\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u0439 [&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-2467","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041a\u0430\u043a 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