In constructing a multiple regression model with two independent variables and it was known that the correlation between and y is .75, and the correlation between and y is .55. Based on this information, the regression model containing both independent variable 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 .75, and the correlation between  and y is .55. Based on this information, the regression model containing both independent variable will explain 65% of the variation in the dependent variable y.

Quizplus · Accepted Answer

The correlation between the independent variables has not been provided, so we cannot conclude anything about the explanatory power of the model. Additionally, there isn't enough information to determine the coefficients for the independent variables or the intercept, so we cannot calculate the R-squared value for the multiple regression model.

In Constructing a Multiple Regression Model with Two Independent Variables