4. (Subset Selection - 20) True/False. State Reasons. Suppose that we would like to fit a linear model to predict MLB players' salaries based on their basic information and statistics for the previous season. The following table shows the sum of squared errors SSE for all the one-predictor models. 2 N Model Salary Bo+B1 X AtBat Salary Bo + B1 x Hits Salary Bo + Bi X HmRun Salary Bo + B1 * Runs Salary Bo + B1 X RBI Salary Bo + B1 x Walks Salary ~ Bo + Bi x Years Salary Bo + B1 x League Salary ~ Bo + B1 x Division Salary Bo + B1 x PutOuts Salary Bo + B1 x Assists Salary Bo + Bi X Errors SSE 4.50 x107 4.30 x 107 4.70 x 107 4.39 x107 4.25 x 107 4.28 x 107 4.47 x 107 5.33 x 107 5.13 x 107 4.85 x 107 5.32 x 107 5.33 x 107 ~ Based on the information given by this table, it is certain that (a) The two-variable model identified by forward stepwise selection includes RBI. (b) The two-variable model identified by forward stepwise selection includes Walks. (c) The two-variable model identified by best subset selection includes RBI. (d) The two-variable model identified by backward stepwise selection includes RBI. 4. (Subset Selection - 20) True/False. State Reasons. Suppose that we would like to fit a linear model to predict MLB players' salaries based on their basic information and statistics for the previous season. The following table shows the sum of squared errors SSE for all the one-predictor models. 2 N Model Salary Bo+B1 X AtBat Salary Bo + B1 x Hits Salary Bo + Bi X HmRun Salary Bo + B1 * Runs Salary Bo + B1 X RBI Salary Bo + B1 x Walks Salary ~ Bo + Bi x Years Salary Bo + B1 x League Salary ~ Bo + B1 x Division Salary Bo + B1 x PutOuts Salary Bo + B1 x Assists Salary Bo + Bi X Errors SSE 4.50 x107 4.30 x 107 4.70 x 107 4.39 x107 4.25 x 107 4.28 x 107 4.47 x 107 5.33 x 107 5.13 x 107 4.85 x 107 5.32 x 107 5.33 x 107 ~ Based on the information given by this table, it is certain that (a) The two-variable model identified by forward stepwise selection includes RBI. (b) The two-variable model identified by forward stepwise selection includes Walks. (c) The two-variable model identified by best subset selection includes RBI. (d) The two-variable model identified by backward stepwise selection includes RBI