Question: Consider the heat treating data from Exercise 12-10. (a) Find 95% confidence intervals on the regression coefficients. (b) Find a 95% confidence interval on mean

Consider the heat treating data from Exercise 12-10.

(a) Find 95% confidence intervals on the regression coefficients.

(b) Find a 95% confidence interval on mean PITCH when TEMP 1650, SOAKTIME 1.00, SOAKPCT

1.10, DIFFTIME 1.00, and DIFFPCT 0.80.

(c) Fit a model to PITCH using regressors x1 SOAKTIME SOAKPCT and x2 DIFFTIME DIFFPCT.

Using the model with regressors x1 and x2, find a 95%

confidence interval on mean PITCH when SOAKTIME 1.00, SOAKPCT 1.10, DIFFTIME 1.00, and DIFFPCT 0.80.

(d) Compare the length of this confidence interval with the length of the confidence interval on mean PITCH at the same point from part (b), where an additive model in SOAKTIME, SOAKPCT, DIFFTIME, and DIFFPCT was used. Which confidence interval is shorter? Does this tell you anything about which model is preferable?

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