The numerical value of the coefficient of determination r ² A) is the proportion of the variation in the dependent variable y that is explained by the best-fit linear equation. B) is the proportion of the variation in the independent variable x that is explained by the best-fit linear equation. C) indicates the direction of the relationship between the dependent variable y and the independent variable x. D) Both A and B are correct. E) A,B,and C are all correct.

Question

Quizplus · Accepted Answer

The coefficient of determination, denoted by r-squared (r^2), is the proportion of the total variation in the dependent variable y that is explained by the best-fit linear equation. Therefore, option A is correct. Option B is incorrect because r-squared is not a measure of the variation in the independent variable x. Option C is also incorrect because the sign of the coefficient of determination does not indicate the direction of the relationship between x and y.

The Numerical Value of the Coefficient of Determination R 2

The Numerical Value of the Coefficient of Determination R ²