The coefficient of determination resulting from a particular regression analysis was 0.85.What was the correlation coefficient,assuming a positive linear relationship?
A)0.5
B)-0.5
C)0.922
D)There is insufficient information to answer the question.
E)None of the above

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is the square of the correlation coefficient (r). Thus, taking the square root of 0.85 gives us 0.922. Since the question assumes a positive linear relationship, we can eliminate choice B (-0.5) as it represents a negative correlation. Choice A (0.5) is also incorrect as it does not account for the nonlinearity resulting from squaring the correlation coefficient. Therefore, the correct answer is C (0.922).

The Coefficient of Determination Resulting from a Particular Regression Analysis