Question: Consider the Minitab output for best subsets regression and for the full model for y 011 6 regressors x4, x5, ..., 39 shown below.

1. Suppose that stepwise regression is applied to this data. State the variable that is the first candidate checked by stepwise regression to potentially add to the model, or state not enough information (nei) is provided to determine.
2. Because the \(p\) -values for the \(t\) -tests are less than 0.05 only for \(x_{6}\) and \(x_{9}\), the two-variable model that maximizes R-squared is \(x_{6}\) and \(x_{9}\). State yes or no, or state not enough information (nei) is provided to determine.
3. Suppose that backward elimination is applied to this data. State the variable that is the first candidate checked by backward elimination to potentially remove from the model, or state not enough information (nei) is provided to determine.
4. For the variable checked in part c), if \(\alpha_{\mathrm{OUT}}=0.15\), is the variable removed from the model? State yes or no, or state not enough information (nei) is provided to determine.

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