{"id":938,"date":"2023-07-28T06:10:31","date_gmt":"2023-07-28T06:10:31","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r-%e1%80%80%e1%80%ad%e1%80%af%e1%80%86\/"},"modified":"2023-07-28T06:10:31","modified_gmt":"2023-07-28T06:10:31","slug":"%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r-%e1%80%80%e1%80%ad%e1%80%af%e1%80%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r-%e1%80%80%e1%80%ad%e1%80%af%e1%80%86\/","title":{"rendered":"R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1006\u103d\u1032\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/a> \u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1040\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1006\u103d\u1032\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a \u1021\u1010\u1014\u103a\u1038 100 \u1014\u103e\u1004\u1037\u103a \u1000\u1031\u102c\u103a\u101c\u1036 2 \u1001\u102f\u1015\u102b\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset.seed(0)\n\n<span style=\"color: #008080;\">#create dataset<\/span>\nx &lt;- rnorm(100)\ny &lt;- x*2 + rnorm(100)\ndf &lt;- data.frame(x = x, y = y)\n\n<span style=\"color: #008080;\">#view first six rows of dataset<\/span>\nhead(df)\n\n           xy\n1 1.2629543 3.3077678\n2 -0.3262334 -1.4292433\n3 1.3297993 2.0436086\n4 1.2724293 2.5914389\n5 0.4146414 -0.3011029\n6 -1.5399500 -2.5031813\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">x \u1014\u103e\u1004\u1037\u103a y \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u104f \u1002\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c linear regression model \u1000\u102d\u102f \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model &lt;- lm(y ~ x, data = df)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener noreferrer\">abline()<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102d\u102f\u1038\u101d\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a abline() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u101c\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1019\u103b\u1009\u103a\u1038\u1006\u102f\u1010\u103a\u1006\u102f\u1010\u103a\u1019\u103b\u1009\u103a\u1038\u1010\u1005\u103a\u1000\u103d\u1000\u103a\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#get predicted y values using regression equation<\/span>\nnewx &lt;- seq(min(df$x), max(df$x), length.out=100)\npreds &lt;- predict(model, newdata = data.frame(x=newx), interval = 'confidence')\n\n<span style=\"color: #008080;\">#create plot of x vs. y, but don't display individual points (type='n')<\/span> \nplot(y ~ x, data = df, type = 'n')\n<span style=\"color: #008080;\">\n#add fitted regression line<\/span>\nabline(model)\n\n<span style=\"color: #008080;\">#add dashed lines for confidence bands\n<\/span>lines(newx, preds[,3], lty = 'dashed', col = 'blue')\nlines(newx, preds[,2], lty = 'dashed', col = 'blue')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9946 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plotconfintr1.png\" alt=\"R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"454\" height=\"414\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1014\u1000\u103a\u101b\u1031\u102c\u1004\u103a\u1019\u103b\u1009\u103a\u1038\u101e\u100a\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u103c\u102e\u1038 \u1021\u1015\u103c\u102c\u101b\u1031\u102c\u1004\u103a\u1019\u103b\u1009\u103a\u1038\u1014\u103e\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102d\u1010\u103a\u1000\u103c\u102d\u102f\u1000\u103a\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u1025\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1027\u101b\u102d\u101a\u102c\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1016\u103c\u100a\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create plot of x vs. y<\/span>\nplot(y ~ x, data = df, type = 'n')\n<span style=\"color: #008080;\">\n#fill in area between regression line and confidence interval\n<span style=\"color: #000000;\">polygon(c(rev(newx), newx), c(rev(preds[,3]), preds[,2]), col = 'grey', border = NA)<\/span>\n\n#add fitted regression line<\/span>\nabline(model)\n\n<span style=\"color: #008080;\">#add dashed lines for confidence bands\n<\/span>lines(newx, preds[,3], lty = 'dashed', col = 'blue')\nlines(newx, preds[,2], lty = 'dashed', col = 'blue')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9947 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plotconfintr2.png\" alt=\"R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1007\u101a\u102c\u1038\" width=\"454\" height=\"422\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1010\u103d\u1004\u103a \u1000\u102f\u1012\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1019\u103e\u102c \u1021\u1005\u1019\u103e\u1021\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set.seed(0)<\/span>\n\n#create dataset\n<span style=\"color: #000000;\">x &lt;- rnorm(100)<\/span>\n<span style=\"color: #000000;\">y &lt;- x*2 + rnorm(100)<\/span>\n<span style=\"color: #000000;\">df &lt;- data.frame(x = x, y = y)<\/span>\n\n#fit linear regression model\n<span style=\"color: #000000;\">model &lt;- lm(y ~ x, data = df)<\/span>\n\n#get predicted y values using regression equation\n<span style=\"color: #000000;\">newx &lt;- seq(min(df$x), max(df$x), length.out=100)<\/span>\n<span style=\"color: #000000;\">preds &lt;- predict(model, newdata = data.frame(x=newx), interval = 'confidence')<\/span>\n\n#create plot of x vs. y<\/span>\nplot(y ~ x, data = df, type = 'n')\n<span style=\"color: #008080;\">\n#fill in area between regression line and confidence interval\n<span style=\"color: #000000;\">polygon(c(rev(newx), newx), c(rev(preds[,3]), preds[,2]), col = 'grey', border = NA)<\/span>\n\n#add fitted regression line<\/span>\nabline(model)\n\n<span style=\"color: #008080;\">#add dashed lines for confidence bands\n<\/span>lines(newx, preds[,3], lty = 'dashed', col = 'blue')\nlines(newx, preds[,2], lty = 'dashed', col = 'blue')<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener noreferrer\">\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u102d\u102f\u1037 \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1011\u100a\u1037\u103a\u101b\u1014\u103a R \u1010\u103d\u1004\u103a abline() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1040\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1006\u103d\u1032\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b R \u1010\u103d\u1004\u103a \u1021\u1010\u1014\u103a\u1038 100 \u1014\u103e\u1004\u1037\u103a \u1000\u1031\u102c\u103a\u101c\u1036 2 \u1001\u102f\u1015\u102b\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b #make this example reproducible set.seed(0) #create dataset x &lt;- rnorm(100) y &lt;- x*2 + rnorm(100) df &lt;- data.frame(x = x, y = y) #view first six rows of dataset 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