Hello how are you I would like your help in this exercise I need it in R code the code and the outputs

5.12 Vining and Myers ("Combining Taguchi and Response Surface Philosophies A Dual Response Approach." Journal of Quality Technology. 22. 15-22, 1990) analyze an experiment, which originally appeared in Box and Draper (1987) This experiment studied the effect of speed (x). pressure (xs), and distance (13) on a printing machine's ability to apply coloring inks on package labels. The following table summarizes the experimental results. 1 ye 10 2 116 28 130 0 1 -1 -1 -1 1 4 5 6 7 8 9 10 11 - 1 0 0 0 1 1 1 -1 34 115 192 N2 4 322 141 259 290 Si 90 -1 -1 - 1 - 1 186 88 178 350 110 251 280 81 122 376 0 1 -1 0 24.0 125 1203 8.4 213.7 428 860 3.2 136.7 80.4 340.7 162 27.6 256.3 4.6 271.7 23.6 SLO 0.0 101.7 17.7 357.0 32.9 (Continued) 188 350 86 259 245 81 93 0 206 TRANSFORMATIONS AND WEIGHTING TO CORRECT MODEL INADEQUACIES yo ya 180 -1 372 ! -1 0 0 O 1 1 1 - 1 ! 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 180 372 0 541 0 288 0 432 0 713 1 361 1 232 1 40 1 182 1 S07 1 846 1 236 1 1878 568 192 336 725 99 221 415 154 372 396 312 513 754 199 266 443 182 434 640 168 403 1161 171.3 372.0 501.7 261.0 427,0 730.7 2207 239.7 4220 199.0 4853 673.7 176.7 5010 1010.0 15.0 000 925 615 886 21.1 1308 23.5 185 294 44.6 158.2 555 1389 1425 1 - 1 233 0 1 515 515 126 1 1 991 a. Fit an appropriate modal to each respone and conduct the residual analysis b. Use the sample variances as the basis for weighted least-squares estimation of the original data (not the sample means). c. Vining and Myers suggest fitting a linear model to an appropriate trans- formation of the sample variances. Use such a model to develop the appro- priate weights and repeat part