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. | |
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
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