The following information regarding a dependent variable (y) and an independent variable (x) is provided. $$\begin{array} { l l }
y & x \
4 & 2 \
3 & 1 \
4 & 4 \
6 & 3 \
8 & 5
\end{array}$$
SSE = 6
SST = 16

The coefficient of correlation is
A) .7906.
B) -.7906.
C) .625.
D) .375.

Question

The following information regarding a dependent variable (y) and an independent variable (x) is provided. $$\begin{array} { l l } 
y & x \
4 & 2 \
3 & 1 \
4 & 4 \
6 & 3 \
8 & 5
\end{array}$$ 
 SSE = 6
SST = 16
 
The coefficient of correlation is
A) .7906.
B) -.7906.
C) .625.
D) .375.

Quizplus · Accepted Answer

The coefficient of correlation (r) is calculated using the formula $ r = \sqrt{1 - \frac{SSE}{SST}} $. Substituting the given values, $ r = \sqrt{1 - \frac{6}{16}} = \sqrt{0.625} \approx 0.7906 $.

The Following Information Regarding a Dependent Variable (Y) and an Independent