TABLE 15-4

The output from the best-subset regressions is given below:

Following is the residual plot for % Attendance:

Following is the output of several multiple regression models:
Model (I):

Model (II):

Model (III):

-Referring to Table 15-4, which of the following models should be taken into consideration using the Mallows' Cp statistic?
A) X₁,X₃
B) X₁,X₂,X₃
C) Both of the above
D) None of the above

Question

TABLE 15-4
  
The output from the best-subset regressions is given below:
  
Following is the residual plot for % Attendance:
  
Following is the output of several multiple regression models:
Model (I):
  
Model (II):
  
Model (III):
 
-Referring to Table 15-4, which of the following models should be taken into consideration using the Mallows' Cp statistic?
A) X₁,X₃ 
B) X₁,X₂,X₃ 
C) Both of the above 
D) None of the above

Quizplus · Accepted Answer

Mallows' Cp statistic estimates the predictive accuracy of the model for a given set of predictor variables. It is used to compare different models and to determine the best one. A model is considered to be a good fit if its Cp value is close to p (number of predictors) or less than p.

In this case, both Model I (X₁,X₃) and Model II (X₁,X₂,X₃) have Cp values close to 3, which indicates that they are good models. Therefore, both of them should be taken into consideration.

TABLE 15-4 The Output from the Best-Subset Regressions Is Given Below