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 μ Y׀_{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.

7.6 8.4 9.2 10.3 9.8 11.1 - 1 - 1 - 1 - 1 - 1 -1 - 1 10.2 12.6 1 1