In a regression analysis, the regression equation is given by y = 12 - 6x. If SSE = 510 and SST = 1000, then the coefficient of correlation is
A)-0.7
B)+0.7
C)0.49
D)-0.49

Question

Quizplus · Accepted Answer

The coefficient of determination (R²) is calculated as 1 - (SSE/SST) = 1 - (510/1000) = 0.49. The coefficient of correlation (r) is the square root of R², which is 0.7. Since the slope of the regression equation is negative (-6), the correlation is negative, so r = -0.7.

In a Regression Analysis, the Regression Equation Is Given by Y