Question: A manager performs two regression analyses. The first has two independent variables, and the second has 3 (the two original variables plus one more). The
A manager performs two regression analyses. The first has two independent variables, and the second has 3 (the two original variables plus one more). The table below shows the summary regression statistics for the two models. Using only these statistics, which model is preferred?
Regression Statistics
Model 1 (2 x's) Model 2 (3 x's)
Multiple R 0.7746 0.7937
R Square 0.6000 0.6300
Adjusted R Square 0.5385 0.5375
Standard Error 3.9604 3.9645
Observations 16 16
Below is the group of answer choices
A. The first because it has a higher adjusted R2value.
B. The second because models with more independent variables are always better predictors.
C. The first because it has a lower multiple R.
D. The second because it explains more of the variation in the dependent variable.
E. The second because it has a higher R2value.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
