{"id":1312,"date":"2023-07-26T22:01:06","date_gmt":"2023-07-26T22:01:06","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%bf%d1%83%d0%bb%d1%8c%d1%82-%d0%bd%d0%b0-%d0%ba%d1%83%d1%85%d0%bd%d0%b5-%d0%bf%d0%b8%d1%82%d0%be%d0%bd\/"},"modified":"2023-07-26T22:01:06","modified_gmt":"2023-07-26T22:01:06","slug":"%d0%bf%d1%83%d0%bb%d1%8c%d1%82-%d0%bd%d0%b0-%d0%ba%d1%83%d1%85%d0%bd%d0%b5-%d0%bf%d0%b8%d1%82%d0%be%d0%bd","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%bf%d1%83%d0%bb%d1%8c%d1%82-%d0%bd%d0%b0-%d0%ba%d1%83%d1%85%d0%bd%d0%b5-%d0%bf%d0%b8%d1%82%d0%be%d0%bd\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043a\u0443\u043a\u0430 \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430<\/strong> \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0432\u044b\u044f\u0432\u043b\u0435\u043d\u0438\u044f \u0432\u043b\u0438\u044f\u0442\u0435\u043b\u044c\u043d\u044b\u0445 <a href=\"https:\/\/statorials.org\/ru\/\u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0435-\u0432-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435\/\" target=\"_blank\" rel=\"noopener\">\u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439<\/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;\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>d <sub>\u044f<\/sub><\/strong> = (r <sub>\u044f<\/sub> <sup>2<\/sup> \/ p*MSE) * (\u0447\u0430\u0441 <sub>ii<\/sub> \/ (1-h <sub>ii<\/sub> ) <sup>2<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0417\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>r<\/strong> <sub><strong>i<\/strong><\/sub> &#8212; i- <sup>\u0439<\/sup> \u043e\u0441\u0442\u0430\u0442\u043e\u043a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p<\/strong> \u2014 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MSE<\/strong> \u2014 \u0441\u0440\u0435\u0434\u043d\u0435\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h<\/strong> <sub>ii \u2014 i<\/sub> -\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <sup>\u043a\u0440\u0435\u0434\u0438\u0442\u043d\u043e\u0433\u043e<\/sup> \u043f\u043b\u0435\u0447\u0430<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u041f\u043e \u0441\u0443\u0442\u0438, \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0438\u0437\u043c\u0435\u0440\u044f\u0435\u0442, \u043d\u0430\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0438\u0437\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u0432\u0441\u0435 \u043f\u043e\u0434\u043e\u0431\u0440\u0430\u043d\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043c\u043e\u0434\u0435\u043b\u0438 \u043f\u0440\u0438 \u0443\u0434\u0430\u043b\u0435\u043d\u0438\u0438 i- <sup>\u0433\u043e<\/sup> \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0427\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430, \u0442\u0435\u043c \u0431\u043e\u043b\u0435\u0435 \u0432\u043b\u0438\u044f\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0430\u043d\u043d\u043e\u0435 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0435.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041a\u0430\u043a \u043f\u0440\u0430\u0432\u0438\u043b\u043e, \u043b\u044e\u0431\u043e\u0435 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0435 \u0441 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435\u043c \u041a\u0443\u043a\u0430, \u043f\u0440\u0435\u0432\u044b\u0448\u0430\u044e\u0449\u0438\u043c 4\/n (\u0433\u0434\u0435 <em>n<\/em> = \u043e\u0431\u0449\u0435\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439), \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f \u0438\u043c\u0435\u044e\u0449\u0438\u043c \u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u0432\u043b\u0438\u044f\u043d\u0438\u0435.<\/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 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0432 Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 1: \u0412\u0432\u0435\u0434\u0438\u0442\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0434\u0438\u043c \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u043d\u0430\u0431\u043e\u0440 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0440\u0430\u0431\u043e\u0442\u044b \u0441 Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">x<\/span> ': [8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30],\n                   ' <span style=\"color: #008000;\">y<\/span> ': [41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57]})\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><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><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043f\u043e\u0434\u043e\u0439\u0434\u0435\u043c \u043a <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0441\u0442\u0430\u044f-\u043b\u0438\u043d\u0435\u0438\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/a> :<\/span><\/p>\n<pre style=\"background-color: #ececec; 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 response variable\n<\/span>y = df[' <span style=\"color: #008000;\">y<\/span> ']\n\n<span style=\"color: #008080;\">#define explanatory variable\n<\/span>x = df[' <span style=\"color: #008000;\">x<\/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> ()<\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 3: \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043f\u0440\u0438\u0433\u043e\u0442\u043e\u0432\u043b\u0435\u043d\u0438\u044f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f \u0432 \u043c\u043e\u0434\u0435\u043b\u0438:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#suppress scientific notation\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\nn.p. <span style=\"color: #3366ff;\">set_printoptions<\/span> (suppress= <span style=\"color: #008000;\">True<\/span> )\n\n<span style=\"color: #008080;\">#create instance of influence\n<\/span>influence = model. <span style=\"color: #3366ff;\">get_influence<\/span> ()\n\n<span style=\"color: #008080;\">#obtain Cook's distance for each observation\n<\/span>cooks = influence. <span style=\"color: #3366ff;\">cooks_distance<\/span>\n\n<span style=\"color: #008080;\">#display Cook's distances\n<\/span><span style=\"color: #993300;\">print<\/span> (cooks)\n\n(array([0.368, 0.061, 0.001, 0.028, 0.105, 0.022, 0.017, 0. , 0.343,\n        0. , 0.15 , 0.349]),\n array([0.701, 0.941, 0.999, 0.973, 0.901, 0.979, 0.983, 1. , 0.718,\n        1. , 0.863, 0.713]))\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u041f\u043e \u0443\u043c\u043e\u043b\u0447\u0430\u043d\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>Cooks_distance()<\/strong> \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u0442 \u043c\u0430\u0441\u0441\u0438\u0432 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f, \u0437\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043c\u0430\u0441\u0441\u0438\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 p-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f \u21161: <strong>0,368<\/strong> (\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p: 0,701).<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f \u21162: <strong>0,061<\/strong> (\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p: 0,941).<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f \u21163: <strong>0,001<\/strong> (\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p: 0,999).<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0418 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u0435.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 4. \u0412\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043f\u043e\u0432\u0430\u0440\u0430<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0434\u0438\u0430\u0433\u0440\u0430\u043c\u043c\u0443 \u0440\u0430\u0441\u0441\u0435\u044f\u043d\u0438\u044f \u0434\u043b\u044f \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430 \u043a\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df.x, cooks[0])\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #008000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #008000;\">Cooks Distance<\/span> ')\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12869 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cuisinierspython1.png\" alt=\"\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0432 Python\" width=\"420\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0435 \u043c\u044b\u0441\u043b\u0438<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0412\u0430\u0436\u043d\u043e \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u043b\u044f <em>\u0432\u044b\u044f\u0432\u043b\u0435\u043d\u0438\u044f<\/em> \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e \u0432\u043b\u0438\u044f\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439.<\/span> <span style=\"color: #000000;\">\u0422\u043e\u0442 \u0444\u0430\u043a\u0442, \u0447\u0442\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u0432\u043b\u0438\u044f\u043d\u0438\u0435, \u043d\u0435 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0435\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0443\u0434\u0430\u043b\u0438\u0442\u044c \u0438\u0437 \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u0432\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0435 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u043e\u0448\u0438\u0431\u043a\u0438 \u0432\u0432\u043e\u0434\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438\u043b\u0438 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0441\u0442\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u0441\u043e\u0431\u044b\u0442\u0438\u044f. \u0415\u0441\u043b\u0438 \u043e\u043a\u0430\u0436\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043c\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0440\u0435\u0448\u0438\u0442\u044c, \u0446\u0435\u043b\u0435\u0441\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u043e \u043b\u0438 \u0435\u0433\u043e \u0443\u0434\u0430\u043b\u0438\u0442\u044c, \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u0430\u043a \u0435\u0441\u0442\u044c \u0438\u043b\u0438 \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u043c\u0435\u0434\u0438\u0430\u043d\u043e\u0439.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0432\u044b\u044f\u0432\u043b\u0435\u043d\u0438\u044f \u0432\u043b\u0438\u044f\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u041a\u0443\u043a\u0430: d \u044f = (r \u044f 2 \/ p*MSE) * (\u0447\u0430\u0441 ii \/ (1-h ii ) 2 ) \u0417\u043e\u043b\u043e\u0442\u043e: r i &#8212; i- \u0439 \u043e\u0441\u0442\u0430\u0442\u043e\u043a p \u2014 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438. MSE \u2014 \u0441\u0440\u0435\u0434\u043d\u0435\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430 h ii \u2014 i -\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0440\u0435\u0434\u0438\u0442\u043d\u043e\u0433\u043e [&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-1312","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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u041a\u0443\u043a\u0430 \u0432 Python<\/title>\n<meta name=\"description\" content=\"\u0412 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