A small experiment was conducted to fit a multiple regression equation relating the yield y to temperature x1, reaction time x2, and concentration of one of the reactants 23. Two levels of each variable were chosen and measurements corresponding to the coded independent variables were recorded as follows:

(a) Using the coded variables, estimate the multiple linear regression equation
µY|x1,x2,x3 = 00 + 0Xl + β2X2 + β3X3.
(b) Partition SSR, the regression sum of squares, into three single-degree-of-freedom components attributable to x1, x2, and x3, respectively. Show an analysis-of-variance table, indicating significance tests on each variable.

1 11-1 64238126 y7 8 9 09102