Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200,then the correlation coefficient is ________.
A)−0.632
B)0.70
C)0.632
D)−0.70

Question

Quizplus · Accepted Answer

The correlation coefficient (r) can be found using the formula $r = \sqrt{1 - \frac{SSE}{SST}}$, where SSE is the sum of squares due to error and SST is the total sum of squares. Plugging in the given values, $r = \sqrt{1 - \frac{720}{1200}} = \sqrt{1 - 0.6} = \sqrt{0.4} = 0.632$.

Consider the Following Regression Equation: Y = 30 + 8X