Question

17. In this exercise we consider a forward-selection algorithm and add variables to the model one-at-a-time. The table below shows the p-value and adjusted R2 of each model where we include only the corresponding predictor. Based on this table, which variable should be added to the model first? variable ethnicity sex learner status p-value 0.0007 0.3142 0.5870 Rad 0.0714 0.0001 0 a. ethnicity b. sex c. learner status
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Answer #1

From the given table, the variable which has the p-value less than 0.05 is the only ethnicity. Therefore, it is significant in the model. Also, it has maximum R^2adj value among these three variables. Hence, the variable ethnicity should be added to the model first.

Ans: a) Ethnicity.

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