The numerical value of the coefficient of determination r 2 a. is the proportion
ID: 1152635 • Letter: T
Question
The numerical value of the coefficient of determination r 2
a. is the proportion of the variation in the independent variable x that is explained by the best-fit linear equation. b. is the proportion of the variation in the dependent variable y 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 "is the proportion of the variation in the dependent variable y that is explained by the best-fit linear equation" AND "is the proportion of the variation in the independent variable x that is explained by the best-fit linear equation" are correct. e. is the proportion of the variation in the dependent variable y that is explained by the best-fit linear equation," AND "is the proportion of the variation in the independent variable x that is explained by the best-fit linear equation," AND "indicates the direction of the relationship between the dependent variable y and the independent variable x" are all correct.Explanation / Answer
Solution: Option E
Explanation: The numerical value of the coefficient of determination r^2 is the proportion of the dependent variable variance which is is predictable from the independent variable. It provides a relationship on how well the variation of one variable provides an explanation on the other variation, and corresponds to the variation percentage explained by a best-fit regression line which is computed for the data