{"id":3998,"date":"2023-07-14T06:42:43","date_gmt":"2023-07-14T06:42:43","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-spline-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/"},"modified":"2023-07-14T06:42:43","modified_gmt":"2023-07-14T06:42:43","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-spline-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-spline-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/","title":{"rendered":"R \u1010\u103d\u1004\u103a spline regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Spline regression<\/strong> \u101e\u100a\u103a \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u102f\u1036\u1005\u1036 \u101b\u102f\u1010\u103a\u1001\u103c\u100a\u103a\u1038\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u101e\u103d\u102c\u1038\u1015\u103c\u102e\u1038 <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">linear regression<\/a> \u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/polynomial-regression-r\/\" target=\"_blank\" rel=\"noopener\">polynomial regression \u1010\u102d\u102f\u1037\u101e\u100a\u103a<\/a> \u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1019\u1016\u103c\u1005\u103a\u101c\u1031\u102c\u1000\u103a\u1021\u1031\u102c\u1004\u103a \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u1016\u103c\u1005\u103a\u1005\u1031\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1021\u1016\u102f\u1019\u103b\u102c\u1038&#8221;  \u101b\u103e\u102d\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a spline regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a variable \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a R \u1010\u103d\u1004\u103a dataset \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u103c\u102e\u1038 variables \u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1000\u102d\u102f\u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101b\u1014\u103a scatterplot \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x=1:20,\n                 y=c(2, 4, 7, 9, 13, 15, 19, 16, 13, 10,\n                     11, 14, 15, 15, 16, 15, 17, 19, 18, 20))\n\n<span style=\"color: #008080;\">#view head of data frame\n<\/span>head(df)\n\n  xy\n1 1 2\n2 2 4\n3 3 7\n4 4 9\n5 5 13\n6 6 15\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plot(df$x, df$y, cex= <span style=\"color: #008000;\">1.5<\/span> , pch= <span style=\"color: #008000;\">19<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31978 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/spline1.jpg\" alt=\"\" width=\"455\" height=\"417\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">x \u1014\u103e\u1004\u1037\u103a y \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1019\u100a\u102e\u1018\u1032 \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u102f\u1036\u1005\u1036\u101e\u100a\u103a x=7 \u1014\u103e\u1004\u1037\u103a x=10 \u1010\u103d\u1004\u103a \u101b\u102f\u1010\u103a\u1001\u103b\u100a\u103a\u1038\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u101e\u103d\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; nodes&#8221;  \u101b\u103e\u102d\u1015\u102f\u1036\u1015\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1000\u102d\u102f \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-lm-\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">lm() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1000\u103d\u1000\u103a\u101c\u1015\u103a\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1021\u102c\u1038 \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1000\u103d\u1004\u103a\u1038\u1000\u103d\u1004\u103a\u1038\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>linear_fit &lt;- lm(df$y ~ df$x)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(linear_fit)\n\nCall:\nlm(formula = df$y ~ df$x)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-5.2143 -1.6327 -0.3534 0.6117 7.8789 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 6.5632 1.4643 4.482 0.000288 ***\ndf$x 0.6511 0.1222 5.327 4.6e-05 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.152 on 18 degrees of freedom\nMultiple R-squared: 0.6118, Adjusted R-squared: 0.5903 \nF-statistic: 28.37 on 1 and 18 DF, p-value: 4.603e-05\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plot(df$x, df$y, cex= <span style=\"color: #008000;\">1.5<\/span> , pch= <span style=\"color: #008000;\">19<\/span> )\n\n<span style=\"color: #008080;\">#add regression line to scatterplot\n<\/span>abline(linear_fit)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31979 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/spline2.jpg\" alt=\"\" width=\"461\" height=\"420\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">scatterplot \u1019\u103e\u104a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression line \u101e\u100a\u103a data \u1014\u103e\u1004\u1037\u103a \u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c\u1019\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a <a href=\"https:\/\/statorials.org\/my\/r-\u1005\u1010\u102f\u101b\u1014\u103a\u1038-\u1021\u1014\u1000\u103a\u1000\u102d\u102f-\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/a> \u101e\u100a\u103a <strong>0.5903<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f spline \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- spline regression model \u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a spline regression model \u1000\u102d\u102f node \u1014\u103e\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a <strong>splines<\/strong> package \u1019\u103e <strong>bs()<\/strong> function \u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1000\u102c\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a scatterplot \u1010\u103d\u1004\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c model \u1000\u102d\u102f \u1001\u103b\u101b\u1031\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (splines)\n\n<span style=\"color: #008080;\">#fit spline regression model\n<\/span>spline_fit &lt;- lm(df$y ~ bs(df$x, knots=c( <span style=\"color: #008000;\">7<\/span> , <span style=\"color: #008000;\">10<\/span> )))\n\n<span style=\"color: #008080;\">#view summary of spline regression model\n<\/span>summary(spline_fit)\n\nCall:\nlm(formula = df$y ~ bs(df$x, knots = c(7, 10)))\n\nResiduals:\n     Min 1Q Median 3Q Max \n-2.84883 -0.94928 0.08675 0.78069 2.61073 \n\nCoefficients:\n                            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 2.073 1.451 1.429 0.175    \nbs(df$x, knots = c(7, 10))1 2.173 3.247 0.669 0.514    \nbs(df$x, knots = c(7, 10))2 19.737 2.205 8.949 3.63e-07 ***\nbs(df$x, knots = c(7, 10))3 3.256 2.861 1.138 0.274    \nbs(df$x, knots = c(7, 10))4 19.157 2.690 7.121 5.16e-06 ***\nbs(df$x, knots = c(7, 10))5 16.771 1.999 8.391 7.83e-07 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 1.568 on 14 degrees of freedom\nMultiple R-squared: 0.9253, Adjusted R-squared: 0.8987 \nF-statistic: 34.7 on 5 and 14 DF, p-value: 2.081e-07\n\n<span style=\"color: #008080;\">#calculate predictions using spline regression model\n<\/span>x_lim &lt;- range(df$x)\nx_grid &lt;- seq(x_lim[ <span style=\"color: #008000;\">1<\/span> ], x_lim[ <span style=\"color: #008000;\">2<\/span> ])\npreds &lt;- predict(spline_fit, newdata=list(x=x_grid))\n\n<span style=\"color: #008080;\">#create scatter plot with spline regression predictions\n<\/span>plot(df$x, df$y, cex= <span style=\"color: #008000;\">1.5<\/span> , pch= <span style=\"color: #008000;\">19<\/span> )\nlines(x_grid, preds)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31980 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/spline3.jpg\" alt=\"\" width=\"469\" height=\"426\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">scatterplot \u1019\u103e\u104a spline regression model \u101e\u100a\u103a data \u1000\u102d\u102f \u1021\u1010\u1031\u102c\u103a\u101c\u1031\u1038 \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b \u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.8987<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1010\u103d\u1000\u103a \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038 linear regression model \u1011\u1000\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a spline regression model \u101e\u100a\u103a data \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f\u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1014\u1019\u1030\u1014\u102c\u1021\u1010\u103d\u1000\u103a node \u1019\u103b\u102c\u1038\u1000\u102d\u102f x=7 \u1014\u103e\u1004\u1037\u103a x=10 \u1010\u103d\u1004\u103a\u1010\u100a\u103a\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038 \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1015\u102f\u1036\u1015\u1031\u102b\u103a\u1015\u103c\u102e\u1038 \u101e\u1004\u103a\u104f \u1012\u102d\u102f\u1019\u102d\u1014\u103a\u1038\u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d node \u1010\u100a\u103a\u1014\u1031\u101b\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <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><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1018\u102f\u1036\u1021\u101c\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a linear regression \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-exponential-regression\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a exponential regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038-\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Spline regression \u101e\u100a\u103a \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u102f\u1036\u1005\u1036 \u101b\u102f\u1010\u103a\u1001\u103c\u100a\u103a\u1038\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u101e\u103d\u102c\u1038\u1015\u103c\u102e\u1038 linear regression \u1014\u103e\u1004\u1037\u103a polynomial regression \u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1019\u1016\u103c\u1005\u103a\u101c\u1031\u102c\u1000\u103a\u1021\u1031\u102c\u1004\u103a \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u1016\u103c\u1005\u103a\u1005\u1031\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1021\u1016\u102f\u1019\u103b\u102c\u1038&#8221; \u101b\u103e\u102d\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a spline regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1026\u1038\u1005\u103d\u102c\u104a variable \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a R \u1010\u103d\u1004\u103a dataset \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u103c\u102e\u1038 variables \u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1000\u102d\u102f\u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101b\u1014\u103a scatterplot \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b #create data frame df &lt;- data. frame (x=1:20, y=c(2, 4, 7, [&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>R \u1010\u103d\u1004\u103a Spline Regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030) - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R \u1010\u103d\u1004\u103a spline regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-spline-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u1010\u103d\u1004\u103a Spline Regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030) - Statology\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R \u1010\u103d\u1004\u103a spline regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-spline-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-14T06:42:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/spline1.jpg\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" 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