Question: 2.12 Reconsider the heat treating data from Exercise 2.11. (a) Fit a new model to the response PITCH using new regressors x, = SOAKTIME x

2.12 Reconsider the heat treating data from Exercise 2.11.

(a) Fit a new model to the response PITCH using new regressors x, = SOAKTIME x SOAKPCT and x2 = DIFFTIME x DIFFPCT.

(b) Test the model in part

(a) for significance of regression using a = 0.05. Also calculate the /-test for each regressor, and draw conclusions.

(c) Estimate σ 2 for the model from part (a), and compare this to the estimate of σ 2 obtained in Exercise 2.11, part (c). Which estimate is smaller? Does this offer any insight regarding which model might be preferable?

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