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.

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