If the coefficient of correlation is -0.80,then the percentage of the variation in y that is explained by the variation in x is:
A) 80%
B) 64%
C) 89%
D) None of these choices.

Question

Quizplus · Accepted Answer

The coefficient of correlation (r) only measures the strength and direction of the linear relationship between two variables, but it does not indicate the proportion or percentage of variation in y that is explained by x. However, the coefficient of determination (r²) is the proportion or percentage of variation in y that is explained by x, and it can be calculated by squaring the coefficient of correlation. In this case, r² = (0.8)² = 0.64, which means that 64% of the variation in y can be explained by the variation in x, and the remaining 36% is due to other factors or randomness. Therefore, the best choice is B.

If the Coefficient of Correlation Is -0