{"id":2944,"date":"2023-07-19T23:13:05","date_gmt":"2023-07-19T23:13:05","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%b2%d0%b8%d1%82%d1%8f%d0%b3%d0%bd%d1%96%d1%82%d1%8c-%d0%ba%d0%be%d0%b5%d1%84%d1%96%d1%86%d1%96%d1%94%d0%bd%d1%82%d0%b8-lm-%d1%83-r\/"},"modified":"2023-07-19T23:13:05","modified_gmt":"2023-07-19T23:13:05","slug":"%d0%b2%d0%b8%d1%82%d1%8f%d0%b3%d0%bd%d1%96%d1%82%d1%8c-%d0%ba%d0%be%d0%b5%d1%84%d1%96%d1%86%d1%96%d1%94%d0%bd%d1%82%d0%b8-lm-%d1%83-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%b2%d0%b8%d1%82%d1%8f%d0%b3%d0%bd%d1%96%d1%82%d1%8c-%d0%ba%d0%be%d0%b5%d1%84%d1%96%d1%86%d1%96%d1%94%d0%bd%d1%82%d0%b8-lm-%d1%83-r\/","title":{"rendered":"\u042f\u043a \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 lm() \u0443 r"},"content":{"rendered":"

<\/p>\n

\n

\u0429\u043e\u0431 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 lm()<\/a> \u0443 R, \u043c\u043e\u0436\u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0442\u0430\u043a\u0456 \u043c\u0435\u0442\u043e\u0434\u0438:<\/span><\/p>\n

\u0421\u043f\u043e\u0441\u0456\u0431 1: \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043b\u0438\u0448\u0435 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457<\/strong><\/span><\/p>\n

 model$coefficients\n<\/strong><\/pre>\n
 \u041c\u0435\u0442\u043e\u0434 2: \u0412\u0438\u0442\u044f\u0433\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437\u0456 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u044e \u043f\u043e\u043c\u0438\u043b\u043a\u043e\u044e, T-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e \u0442\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438 P<\/strong><\/span><\/p>\n
 summary(model)$coefficients<\/strong><\/pre>\n
 \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u043f\u043e\u043a\u0430\u0437\u0443\u0454, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u0456 \u043c\u0435\u0442\u043e\u0434\u0438 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0446\u0456.<\/span><\/p>\n
 \u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u0432\u0438\u0442\u044f\u0433\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437 lm() \u0443 R<\/strong><\/span><\/h3>\n
 \u041f\u0440\u0438\u043f\u0443\u0441\u0442\u0456\u043c\u043e, \u0449\u043e \u043c\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u043c\u043e \u0442\u0430\u043a\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u043c\u043d\u043e\u0436\u0438\u043d\u043d\u043e\u0457 \u043b\u0456\u043d\u0456\u0439\u043d\u043e\u0457 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0432 R:<\/span><\/p>\n
 #create data frame\n<\/span>df <- data. frame<\/span> (rating=c(67, 75, 79, 85, 90, 96, 97),\n                 points=c(8, 12, 16, 15, 22, 28, 24),\n                 assists=c(4, 6, 6, 5, 3, 8, 7),\n                 rebounds=c(1, 4, 3, 3, 2, 6, 7))\n\n#fit multiple linear regression model\n<\/span>model <- lm(rating ~ points + assists + rebounds, data=df)\n<\/strong><\/pre>\n
 \u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e summary()<\/strong> \u0434\u043b\u044f \u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f \u043f\u043e\u0432\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0441\u0443\u043c\u043a\u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u043e\u0457 \u043c\u043e\u0434\u0435\u043b\u0456:<\/span><\/span><\/p>\n
 #view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = rating ~ points + assists + rebounds, data = df)\n\nResiduals:\n      1 2 3 4 5 6 7 \n-1.5902 -1.7181 0.2413 4.8597 -1.0201 -0.6082 -0.1644 \n\nCoefficients:\n            Estimate Std. Error t value Pr(>|t|)   \n(Intercept) 66.4355 6.6932 9.926 0.00218 **\npoints 1.2152 0.2788 4.359 0.02232 * \nassists -2.5968 1.6263 -1.597 0.20860   \nrebounds 2.8202 1.6118 1.750 0.17847   \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.193 on 3 degrees of freedom\nMultiple R-squared: 0.9589, Adjusted R-squared: 0.9179 \nF-statistic: 23.35 on 3 and 3 DF, p-value: 0.01396\n<\/strong><\/pre>\n
 \u0429\u043e\u0431 \u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u0438 \u043b\u0438\u0448\u0435 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 model$<\/strong> \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n
 #view only regression coefficients of model\nmodel$coefficients\n\n(Intercept) points assists rebounds \n  66.435519 1.215203 -2.596789 2.820224<\/span><\/span>\n<\/strong><\/pre>\n
 \u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0446\u0456 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438, \u0449\u043e\u0431 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u0438 \u0442\u0430\u043a\u0435 \u043f\u0456\u0434\u0456\u0433\u043d\u0430\u043d\u0435 \u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457:<\/span><\/p>\n
 \u041e\u0446\u0456\u043d\u043a\u0430 = 66,43551 + 1,21520 (\u043e\u0447\u043a\u0438) \u2013 2,59678 (\u0430\u0441\u0441\u0438\u0441\u0442\u0438) + 2,82022 (\u043f\u0456\u0434\u0431\u0438\u0440\u0430\u043d\u043d\u044f)<\/span><\/p>\n
 \u0429\u043e\u0431 \u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0440\u0430\u0437\u043e\u043c \u0456\u0437 \u0457\u0445 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c\u0438 \u043f\u043e\u043c\u0438\u043b\u043a\u0430\u043c\u0438, t-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e \u0442\u0430 p-\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 summary(model)$<\/strong> \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n
 #view regression coefficients with standard errors, t-statistics, and p-values\n<\/span>summary(model)$coefficients\n\n             Estimate Std. Error t value Pr(>|t|)\n(Intercept) 66.435519 6.6931808 9.925852 0.002175313\npoints 1.215203 0.2787838 4.358942 0.022315418\nassists -2.596789 1.6262899 -1.596757 0.208600183\nrebounds 2.820224 1.6117911 1.749745 0.178471275<\/strong><\/pre>\n
 \u041c\u0438 \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u0435\u043c\u043e \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u0434\u043e\u0441\u0442\u0443\u043f \u0434\u043e \u043f\u0435\u0432\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0443 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u0432\u043e\u0434\u0456.<\/span><\/span><\/p>\n
 \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0442\u0430\u043a\u0438\u0439 \u043a\u043e\u0434 \u0434\u043b\u044f \u0434\u043e\u0441\u0442\u0443\u043f\u0443 \u0434\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f p<\/strong> \u0437\u043c\u0456\u043d\u043d\u043e\u0457 points<\/strong> :<\/span><\/p>\n
 #view p-value for points variable\n<\/span>summary(model)$coefficients[\" points<\/span> \", \" Pr(>|t|)<\/span> \"]\n\n[1] 0.02231542\n<\/strong><\/pre>\n
 \u0410\u0431\u043e \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0442\u0430\u043a\u0438\u0439 \u043a\u043e\u0434, \u0449\u043e\u0431 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 p-\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0437 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0456\u0432 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457:<\/span><\/p>\n
 #view p-value for all variables\n<\/span>summary(model)$coefficients[, \" Pr(>|t|)<\/span> \"]\n\n(Intercept) points assists rebounds \n0.002175313 0.022315418 0.208600183 0.178471275 \n<\/strong><\/pre>\n
 \u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f P \u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0436\u0430\u044e\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0430 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0432 \u043c\u043e\u0434\u0435\u043b\u0456.<\/span><\/span><\/p>\n
 \u0412\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u043f\u043e\u0434\u0456\u0431\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0434\u043b\u044f \u0434\u043e\u0441\u0442\u0443\u043f\u0443 \u0434\u043e \u0431\u0443\u0434\u044c-\u044f\u043a\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0443 \u0432\u0438\u0445\u0456\u0434\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457.<\/span><\/p>\n
 \u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u0435\u0441\u0443\u0440\u0441\u0438<\/strong><\/span><\/h3>\n
 \u0423 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0445 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a\u0430\u0445 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0443\u0432\u0430\u0442\u0438 \u0456\u043d\u0448\u0456 \u0442\u0438\u043f\u043e\u0432\u0456 \u0437\u0430\u0432\u0434\u0430\u043d\u043d\u044f \u0432 R:<\/span><\/p>\n
 \u042f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0440\u043e\u0441\u0442\u0443 \u043b\u0456\u043d\u0456\u0439\u043d\u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u044e \u0432 R<\/a>
 \u042f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043c\u043d\u043e\u0436\u0438\u043d\u043d\u0443 \u043b\u0456\u043d\u0456\u0439\u043d\u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u044e \u0432 R<\/a>
\u042f\u043a \u0441\u0442\u0432\u043e\u0440\u0438\u0442\u0438 \u0434\u0456\u043b\u044f\u043d\u043a\u0443 \u0437\u0430\u043b\u0438\u0448\u043a\u0456\u0432 \u0443 R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0429\u043e\u0431 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 lm() \u0443 R, \u043c\u043e\u0436\u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0442\u0430\u043a\u0456 \u043c\u0435\u0442\u043e\u0434\u0438: \u0421\u043f\u043e\u0441\u0456\u0431 1: \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043b\u0438\u0448\u0435 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 model$coefficients \u041c\u0435\u0442\u043e\u0434 2: \u0412\u0438\u0442\u044f\u0433\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437\u0456 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u044e \u043f\u043e\u043c\u0438\u043b\u043a\u043e\u044e, T-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e \u0442\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438 P summary(model)$coefficients \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u043f\u043e\u043a\u0430\u0437\u0443\u0454, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u0456 \u043c\u0435\u0442\u043e\u0434\u0438 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0446\u0456. \u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u0432\u0438\u0442\u044f\u0433\u0442\u0438 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457 \u0437 lm() \u0443 R \u041f\u0440\u0438\u043f\u0443\u0441\u0442\u0456\u043c\u043e, \u0449\u043e \u043c\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u043c\u043e \u0442\u0430\u043a\u0443 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