A small experiment is conducted to fit a multiple regression equation relating the yield y to temperature x₁, reaction time x₂, and concentration of one of the reactants x₃. 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} = β₀ + β₁x_l + 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. Comment of the results.

- 1 - 1 - 1 - 1 7.6 5.5 9.2 10.3 11.6 11.1 10.2 - 1 - 1 - 1 - 1 1 - 1 1 - 1 - 1 14.0 1 1