Question

Which of the following statements about multiple regression is TRUE?

a.In multiple regression, it makes more sense to examine R2 adj than it does to examine R2 .
b.The main goal of multiple regression is to relate a single explanatory variable to a single response variable.
c.There is no difference between multiple regression and simple linear regression.
d.Multiple regression cannot be used if the normality assumption is satisfied.

Answer 1

The true statement about multiple regression is that it makes more sense to examine R^2 adj than it does to examine R^2.

Step-by-step explanation:

The correct statement about multiple regression is a. In multiple regression, it makes more sense to examine R2 adj than it does to examine R2.

Here's why:

1. In multiple regression, R2 adj takes into account the number of independent variables in the model, while R2 does not. R2 adj adjusts for the degrees of freedom and penalizes the model for including unnecessary variables.
2. Therefore, R2 adj provides a more accurate measure of how well the independent variables explain the variation in the dependent variable.
3. On the other hand, R2 simply measures the proportion of variation in the dependent variable that can be explained by the independent variables, without considering the number of variables included in the model.