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) -.7.
B) +.7.
C) .49.
D) -.49.

Question

Quizplus · Accepted Answer

The coefficient of determination, $R^2$, is calculated as $1 - \frac{SSE}{SST}$. Given $SSE = 510$ and $SST = 1000$, $R^2 = 1 - \frac{510}{1000} = 0.49$. The coefficient of correlation, $R$, is the square root of $R^2$, which gives $R = \pm\sqrt{0.49} = \pm0.7$. Since the slope of the regression line is negative (-6), the correlation is negative, hence $R = -0.7$.

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