If there is no linear relationship between two variables and , the coefficient of determination must be 1.0.

Question

If there is no linear relationship between two variables  and  , the coefficient of determination must be  1.0.

Quizplus · Accepted Answer

The coefficient of determination (r-squared) gives the proportion of variation in the dependent variable that can be explained by the independent variable(s). If there is no linear relationship between two variables, r-squared will be 0, indicating that none of the variation in the dependent variable can be explained by the independent variable(s). Therefore, the coefficient of determination cannot be 1.0 if there is no linear relationship.

If There Is No Linear Relationship Between Two Variables