If the coefficient of correlation is -0.7, then the percentage of the variation in y that is explained by the regression line is 70%.

Question

Quizplus · Accepted Answer

The coefficient of correlation measures the strength and direction of the linear relationship between two variables, but it does not tell us the percentage of variation in y that is explained by the regression line. The percentage of variation in the dependent variable y that is explained by the regression line is given by the coefficient of determination (r^2), which is the square of the coefficient of correlation. Therefore, if the coefficient of correlation is -0.7, the percentage of variation in y explained by the regression line is r^2 = (-0.7)^2 = 0.49 or 49%.

If the Coefficient of Correlation Is -0