{"id":2972,"date":"2023-07-19T20:13:11","date_gmt":"2023-07-19T20:13:11","guid":{"rendered":"https:\/\/statorials.org\/ru\/r-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5-%d0%b2-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/"},"modified":"2023-07-19T20:13:11","modified_gmt":"2023-07-19T20:13:11","slug":"r-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5-%d0%b2-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/r-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5-%d0%b2-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c r-\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432 python (\u0441 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u043c)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442<\/strong> , \u0447\u0430\u0441\u0442\u043e \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u043c\u044b\u0439 <sup>R2<\/sup> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u043e\u043b\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 <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 noreferrer\">\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430<\/a> , \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0436\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u0442\u044c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430\u043c\u0438 \u0432 <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 noreferrer\">\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<p> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 R \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u043c\u043e\u0436\u0435\u0442 \u0432\u0430\u0440\u044c\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043e\u0442 0 \u0434\u043e 1, \u0433\u0434\u0435:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043e\u0442\u0432\u0435\u0442\u0430 \u0432\u043e\u043e\u0431\u0449\u0435 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043e\u043c.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0442\u043e, \u0447\u0442\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043e\u0442\u043a\u043b\u0438\u043a\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u0440\u0435\u043a\u0440\u0430\u0441\u043d\u043e \u0438 \u0431\u0435\u0437 \u043e\u0448\u0438\u0431\u043e\u043a \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430\u043c\u0438.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c R <sup>2<\/sup> \u0434\u043b\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u0432 Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0440: \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432 Python<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 DataFrame pandas:<\/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;\">#createDataFrame\n<span style=\"color: #000000;\">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;\">prep_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 prep_exams 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\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>LinearRe\u0433\u0440\u0435\u0441\u0441\u0438\u044f()<\/strong> <a href=\"https:\/\/scikit-learn.org\/stable\/\" target=\"_blank\" rel=\"noopener\">sklearn<\/a> , \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u0434\u043e\u0433\u043d\u0430\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>\u041e\u0446\u0435\u043d\u043a\u0430()<\/strong> , \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u043c\u043e\u0434\u0435\u043b\u0438:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> sklearn.linear_model <span style=\"color: #008000;\">import<\/span> LinearRegression\n\n<span style=\"color: #008080;\">#initiate linear regression model\n<\/span>model = LinearRegression()\n\n<span style=\"color: #008080;\">#define predictor and response variables\n<\/span>x, y = df[[\" <span style=\"color: #ff0000;\">hours<\/span> \", \" <span style=\"color: #ff0000;\">prep_exams<\/span> \"]], df. <span style=\"color: #3366ff;\">score<\/span>\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model. <span style=\"color: #3366ff;\">fit<\/span> (x,y)\n\n<span style=\"color: #008080;\">#calculate R-squared of regression model\n<\/span>r_squared = model. <span style=\"color: #3366ff;\">score<\/span> (x,y)\n\n<span style=\"color: #008080;\">#view R-squared value\n<\/span><span style=\"color: #008000;\">print<\/span> (r_squared)\n\n0.7175541714105901\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u041a\u0432\u0430\u0434\u0440\u0430\u0442 R \u043c\u043e\u0434\u0435\u043b\u0438 \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u044b\u043c <strong>0,7176<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e <strong>71,76%<\/strong> \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0439 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u0445 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432 \u043c\u043e\u0436\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u0442\u044c \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e\u043c \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0447\u0430\u0441\u043e\u0432 \u0438 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e\u043c \u0441\u0434\u0430\u043d\u043d\u044b\u0445 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0415\u0441\u043b\u0438 \u0431\u044b \u043c\u044b \u0437\u0430\u0445\u043e\u0442\u0435\u043b\u0438, \u043c\u044b \u043c\u043e\u0433\u043b\u0438 \u0431\u044b \u0437\u0430\u0442\u0435\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0442\u044c \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u044c\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c \u043d\u0430\u0431\u043e\u0440\u043e\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043e\u0432.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u0446\u0435\u043b\u043e\u043c, \u043c\u043e\u0434\u0435\u043b\u0438 \u0441 \u0431\u043e\u043b\u0435\u0435 \u0432\u044b\u0441\u043e\u043a\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0442\u0438\u0442\u0435\u043b\u044c\u043d\u0435\u0435, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043d\u0430\u0431\u043e\u0440 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445-\u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u0439 \u0432 \u043c\u043e\u0434\u0435\u043b\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u0435\u043d \u0445\u043e\u0440\u043e\u0448\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u0442\u044c \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\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;\"><strong>\u0421\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0439:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u0445\u043e\u0440\u043e\u0448\u0435\u0435-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435-r-\u0432-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0445\u043e\u0440\u043e\u0448\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430?<\/a><\/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;\">\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\/\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 noreferrer\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u0443\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python<\/a><br \/> <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 noreferrer\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0443\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0430\u0438\u043a-\u0432-\u043f\u0438\u0442\u043e\u043d\u0435\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c AIC \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R-\u043a\u0432\u0430\u0434\u0440\u0430\u0442 , \u0447\u0430\u0441\u0442\u043e \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u043c\u044b\u0439 R2 , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u043e\u043b\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430 , \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0436\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u0442\u044c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430\u043c\u0438 \u0432 \u043c\u043e\u0434\u0435\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 . \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 R \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u043c\u043e\u0436\u0435\u0442 \u0432\u0430\u0440\u044c\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043e\u0442 0 \u0434\u043e 1, \u0433\u0434\u0435: 0 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043e\u0442\u0432\u0435\u0442\u0430 \u0432\u043e\u043e\u0431\u0449\u0435 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043e\u043c. 1 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0442\u043e, \u0447\u0442\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043e\u0442\u043a\u043b\u0438\u043a\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u0440\u0435\u043a\u0440\u0430\u0441\u043d\u043e \u0438 [&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-2972","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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