If the coefficient of correlation is .8, the percentage of variation in the dependent variable explained by the variation in the independent variable is
A) .85%.
B) 85%.
C) .7225%.
D) 72.25%.

Question

Quizplus · Accepted Answer

The percentage of variation explained by the independent variable is found by squaring the coefficient of correlation (r^2). So, .8^2 = .64 or 64%. However, none of the options directly match this calculation, suggesting a possible mistake in the interpretation of the question or in the provided options. Given the options, 72.25% (D) seems to be a miscalculation based on the correct method. The correct calculation from the coefficient .8 should result in 64%, but since that's not an option and assuming a misunderstanding in the question's context or a typo, D would be the closest incorrect choice provided. This highlights a need for clarification or correction in the question or options.

If the Coefficient of Correlation Is