Question: Problem 13.19 Refer to the Model (Y2 | X1, X8, X1*X8) of Example 13.16. (a) Estimate the main effects and interactions by first computing the

Problem 13.19 Refer to the Model (Y2 | X1, X8, X1*X8) of Example 13.16.

(a) Estimate the main effects and interactions by first computing the contrasts LX1, LX8, LX1X8.

(b) Compute SSX1, SSX8, and SSX1X8. Your answers should agree with those in Table 13.16. Hint: Use Equations 13.33, 13.34, and 13.35.

(c) How would you set the parameter value X8 (0 or 1) so as to minimize the process variation? Justify your answer. Hint: Compute the average value of Y2 at the levels X8=0 and X8=1.

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