A small experiment was conducted to fit a multiple regression equation relating the yield y to temperature x , reaction time x , and concentration of one of the reactants x .

Two levels of each variable were chosen, and measurements corresponding to the coded independent variables were recorded as follows:

p 2 2 1

2 3 1. Using the coded variables, estimate the multiple linear regression equation 2. Partition SSR, the regression sum of squares, into three single-degree-of-freedom components attributable to x , x , and x , respectively. Show an analysis-of-variance table, indicating significance tests on each variable. Comment on the results.