In a simple linear regression model, if r² is 0.75, then 75% of the variation in the dependent variable y can be explained by the regression line, on the independent variable x.

Question

Quizplus · Accepted Answer

This is correct as the correlation coefficient (r) in a simple linear regression model represents the strength and direction of the linear relationship between the independent variable x and dependent variable y. Square of the correlation coefficient (r²) represents the proportion of variation in y that can be explained by the regression line on x. Therefore, 0.75 (r²)² = 0.5625, which means that 56.25% of the variation in y can be explained by the regression line on x.

In a Simple Linear Regression Model, If R2 Is 0

In a Simple Linear Regression Model, If R² Is 0