Table B. 11 presents data on the quality of Pinot Noir wine.

a. Build an appropriate regression model for quality \(y\) using the all-possibleregressions approach. Use \(C_{p}\) as the model selection criterion, and incorporate the region information by using indicator variables.
b. For the best two models in terms of \(C_{p}\), investigate model adequacy by using residual plots. Is there any practical basis for selecting between these models?
c. Is there any difference between the two models in part b in terms of the PRESS statistic?

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