In constructing a multiple regression model with two independent variables and it was known that the correlation between and y is 0.75, and the correlation between and y is 0.55. Based on this information, the regression model containing both independent variables will explain 65% of the variation in the dependent variable y.

Question

In constructing a multiple regression model with two independent variables  and  it was known that the correlation between  and y is 0.75, and the correlation between  and y is 0.55. Based on this information, the regression model containing both independent variables will explain 65% of the variation in the dependent variable y.

Quizplus · Accepted Answer

The correlation coefficients between independent variables and the dependent variable do not directly indicate the amount of variation that will be explained by the model. Therefore, it is not possible to determine the percentage of variation in the dependent variable that will be explained by the model solely based on correlation coefficients.

In Constructing a Multiple Regression Model with Two Independent Variables