Question

e is molecular weight. The engineer has used the following four factors cated 24 factorial experiment has been run in a chemical process. The response variabl factor coded levels (x's) natural levels 30, 40 (minutes 100, 150 (deg C) 8. 12 (g min) 40,60 (percent) 1. 1 time B temperature C-feed rate D - concentration 1, 1 40 B -36.C After conducting the experiment, the engineer finds that three of the main effects and one of the interactions are large enough to be considered significant. The effect estimates are A - 50, and AC-28. The overall average of the 16 runs in this experiment is 1500. The model (in terms of the coded variables) for predicting the molecular weight response is: = 1500 + 20 x1 + 18 x2 + 25 ×3-28 x1 x3 y 1500 + 20 x1 +18 x2 +25 x3 + 14 x1 x3 参p = 1500 + 40 XI +36 X2 +50 ×3 +28 X1 x3

Answer 1

Since the effect estimates are given as A = 40, B = 36, C = 50 and AC = 28, the regression equation will be:

$\widehat{y}$ = 1500 + 40 x1 + 36 x2 + 50 x3 + 28 x1 x3

Option C is correct.