Assume that we have found a regression equation of = 3.6 - 2.4x, and that the coefficient of determination is 0.72, then the correlation of x and y must be about 0.849.

Question

Quizplus · Accepted Answer

The correlation coefficient (r) is the square root of the coefficient of determination (R^2), but its sign depends on the sign of the slope in the regression equation. Since the slope (-2.4) is negative, the correlation should also be negative. Thus, r ≈ -√0.72 ≈ -0.849, not +0.849.

Assume That We Have Found a Regression Equation of =