(Solution) - Consider the bearing wear data in Exercise 12 7 -(2025 Original AI-Free Solution)

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Consider the bearing wear data in Exercise 12-7.
(a) Find 99% confidence intervals on B1 and B2.
(b) Recompute the confidence intervals in part (a) after the interaction term x1x2 is added to the model. Compare the lengths of these confidence intervals with those computed in part (a). Do the lengths of these intervals provide any information about the contribution of the interaction term in the model?