If the coefficient of correlation is −0.81,then the percentage of the variation in y that is explained by the regression line is 81%.

Question

Quizplus · Accepted Answer

The coefficient of determination (r-squared) is the percentage of the variation in y that is explained by the regression line, not the coefficient of correlation. The coefficient of determination is equal to the square of the coefficient of correlation, so in this case, the percentage of variation explained by the regression line would be 0.81^2 or 65.61%, not 81%. Therefore, the statement is false and the answer is B.

If the Coefficient of Correlation Is −0