SCENARIO 15-6 Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y)and the independent variables are the age of the worker ( ), the number of years of education received ( ), the number of years at the previous job ( ), a dummy variable for marital status ( 1 = married, 0 = otherwise), a dummy variable for head of household ( 1 = yes, 0 = no)and a dummy variable for management position ( 1 = yes, 0 = no). The coefficient of multiple determination ( )for the regression model using each of the 6 variables as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993. The partial results from best-subset regression are given below:
-Referring to Scenario 15-6, the model that includes should be among the appropriate models using the Mallow's statistic.

Question

SCENARIO 15-6 Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y)and the independent variables are the age of the worker (  ), the number of years of education received (  ), the number of years at the previous job (  ), a dummy variable for marital status (  1 = married, 0 = otherwise), a dummy variable for head of household (  1 = yes, 0 = no)and a dummy variable for management position (  1 = yes, 0 = no). The coefficient of multiple determination (  )for the regression model using each of the 6 variables  as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993. The partial results from best-subset regression are given below: 
-Referring to Scenario 15-6, the model that includes  should be among the appropriate models using the Mallow's  statistic.

Quizplus · Accepted Answer

Since the coefficient of multiple determination for the regression model using 11ebc114_12cf_8a63_8acb_e90870915c86_TB8562_11 as the dependent variable and all other X variables as independent variables is 0.2628, which is higher than the corresponding Mallow's Cp statistic of 3.389, this model should be among the appropriate models. Therefore, the statement is true. The Mallow's statistic measures the performance of different regression models and takes into account both the goodness of fit and the number of variables in the model. In this scenario, the coefficient of multiple determination (R-squared) for the model with 11ebc114_12cf_8a63_8acb_e90870915c86_TB8562_11 as the dependent variable is 0.3510, which is higher than some of the other models. Therefore, it is likely that this model will have a relatively low Mallow's statistic and be among the appropriate models.

SCENARIO 15-6 Given Below Are Results from the Regression Analysis