{"id":678,"date":"2023-07-29T02:48:26","date_gmt":"2023-07-29T02:48:26","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%8f%d0%ba-%d0%be%d0%b1%d1%87%d0%b8%d1%81%d0%bb%d0%b8%d1%82%d0%b8-mse-%d0%b2-r\/"},"modified":"2023-07-29T02:48:26","modified_gmt":"2023-07-29T02:48:26","slug":"%d1%8f%d0%ba-%d0%be%d0%b1%d1%87%d0%b8%d1%81%d0%bb%d0%b8%d1%82%d0%b8-mse-%d0%b2-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%8f%d0%ba-%d0%be%d0%b1%d1%87%d0%b8%d1%81%d0%bb%d0%b8%d1%82%d0%b8-mse-%d0%b2-r\/","title":{"rendered":"\u042f\u043a \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 mse \u0432 r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u041e\u0434\u043d\u0438\u043c \u0456\u0437 \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448 \u0447\u0430\u0441\u0442\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u043d\u0438\u0445 \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a\u0456\u0432 \u0434\u043b\u044f \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u0456 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043d\u043d\u044f \u043c\u043e\u0434\u0435\u043b\u0456 \u0454 <strong>MSE<\/strong> , \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 <strong>\u0441\u0435\u0440\u0435\u0434\u043d\u044e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443 \u043f\u043e\u043c\u0438\u043b\u043a\u0443<\/strong> . \u0412\u0456\u043d \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MSE<\/strong> = (1\/n) * \u03a3(\u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0438\u0439 \u2013 \u043f\u0440\u043e\u0433\u043d\u043e\u0437) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \u2013 \u0445\u0438\u043c\u0435\u0440\u043d\u0438\u0439 \u0441\u0438\u043c\u0432\u043e\u043b, \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 \u00ab\u0441\u0443\u043c\u0430\u00bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> \u2013 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>real<\/strong> \u2013 \u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>\u043f\u0440\u043e\u0433\u043d\u043e\u0437<\/b> \u2013 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0427\u0438\u043c \u043d\u0438\u0436\u0447\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f MSE, \u0442\u0438\u043c \u0442\u043e\u0447\u043d\u0456\u0448\u0435 \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0434\u0430\u0442\u043d\u0430 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0438\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f.<\/span><\/p>\n<h2> <strong>\u042f\u043a \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 MSE \u0432 R<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u0417\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u0444\u043e\u0440\u043c\u0430\u0442\u0443 \u0432\u0430\u0448\u0438\u0445 \u0434\u0430\u043d\u0438\u0445, \u0454 \u0434\u0432\u0430 \u043f\u0440\u043e\u0441\u0442\u0456 \u043c\u0435\u0442\u043e\u0434\u0438, \u044f\u043a\u0456 \u043c\u043e\u0436\u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f MSE \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u043e\u0457 \u043c\u043e\u0434\u0435\u043b\u0456 \u0432 R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0421\u043f\u043e\u0441\u0456\u0431 1: \u043e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c MSE \u0437\u0430 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u043e\u044e \u043c\u043e\u0434\u0435\u043b\u043b\u044e<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0412 \u043e\u0434\u043d\u043e\u043c\u0443 \u0441\u0446\u0435\u043d\u0430\u0440\u0456\u0457 \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u043c\u0430\u0442\u0438 \u043f\u0456\u0434\u0456\u0433\u043d\u0430\u043d\u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u0456 \u043f\u0440\u043e\u0441\u0442\u043e \u0445\u043e\u0447\u0435\u0442\u0435 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 MSE \u043c\u043e\u0434\u0435\u043b\u0456. \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u0443 \u0432\u0430\u0441 \u043c\u043e\u0436\u0435 \u0431\u0443\u0442\u0438 \u0442\u0430\u043a\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load mtcars dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#get model summary\n<\/span>model_summ &lt;-summary(model)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0429\u043e\u0431 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 MSE \u0446\u0456\u0454\u0457 \u043c\u043e\u0434\u0435\u043b\u0456, \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0442\u0430\u043a\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MSE<\/span>\nmean(model_summ$residuals^2)\n\n[1] 8.85917<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0426\u0435 \u043e\u0437\u043d\u0430\u0447\u0430\u0454, \u0449\u043e MSE \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c <strong>8,85917<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0421\u043f\u043e\u0441\u0456\u0431 2: \u043e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c MSE \u0437\u0456 \u0441\u043f\u0438\u0441\u043a\u0443 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0456 \u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0412 \u0456\u043d\u0448\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0441\u0442\u043e \u043c\u0430\u0442\u0438 \u0441\u043f\u0438\u0441\u043e\u043a \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0456 \u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c. \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame with a column of actual values and a column of predicted values<\/span>\ndata &lt;- data.frame(pred = predict(model), actual = mtcars$mpg)\n\n<span style=\"color: #008080;\">#view first six lines of data<\/span>\nhead(data)\n\n                      pred actual\nMazda RX4 23.14809 21.0\nMazda RX4 Wag 23.14809 21.0\nDatsun 710 25.14838 22.8\nHornet 4 Drive 20.17416 21.4\nHornet Sportabout 15.46423 18.7\nValiant 21.29978 18.1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 MSE:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MSE<\/span>\nmean((data$actual - data$pred)^2)\n\n[1] 8.85917<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0426\u0435 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c \u043d\u0430\u043c \u043f\u0440\u043e \u0442\u0435, \u0449\u043e MSE \u0434\u043e\u0440\u0456\u0432\u043d\u044e\u0454 <strong>8,85917<\/strong> , \u0449\u043e \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 MSE, \u044f\u043a\u0438\u0439 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043f\u043e\u043f\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u043c\u0435\u0442\u043e\u0434\u0443.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041e\u0434\u043d\u0438\u043c \u0456\u0437 \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448 \u0447\u0430\u0441\u0442\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u043d\u0438\u0445 \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a\u0456\u0432 \u0434\u043b\u044f \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u0456 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043d\u043d\u044f \u043c\u043e\u0434\u0435\u043b\u0456 \u0454 MSE , \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 \u0441\u0435\u0440\u0435\u0434\u043d\u044e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443 \u043f\u043e\u043c\u0438\u043b\u043a\u0443 . \u0412\u0456\u043d \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c: MSE = (1\/n) * \u03a3(\u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0438\u0439 \u2013 \u043f\u0440\u043e\u0433\u043d\u043e\u0437) 2 \u0437\u043e\u043b\u043e\u0442\u043e: \u03a3 \u2013 \u0445\u0438\u043c\u0435\u0440\u043d\u0438\u0439 \u0441\u0438\u043c\u0432\u043e\u043b, \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 \u00ab\u0441\u0443\u043c\u0430\u00bb n \u2013 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 real \u2013 \u0444\u0430\u043a\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445 \u043f\u0440\u043e\u0433\u043d\u043e\u0437 \u2013 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0427\u0438\u043c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u042f\u043a \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 MSE \u0443 R - Statorials<\/title>\n<meta name=\"description\" content=\"\u041f\u0440\u043e\u0441\u0442\u0435 \u043f\u043e\u044f\u0441\u043d\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u044f\u043a \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 MSE, \u0432\u043a\u043b\u044e\u0447\u0430\u044e\u0447\u0438 \u043a\u0456\u043b\u044c\u043a\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456\u0432.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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