You are given the following information about y and x. $$\begin{array} { l l }
\text { Dependent Variable } ( y ) & \text { Independent Variable } ( x ) \
5 & 4 \
7 & 6 \
9 & 2 \
11 & 4
\end{array}$$ The sample correlation coefficient equals
A) .3162.
B) -.3162.
C) .10.
D) -.10.

Question

You are given the following information about y and x. $$\begin{array} { l l } 
\text { Dependent Variable } ( y ) & \text { Independent Variable } ( x ) \
5 & 4 \
7 & 6 \
9 & 2 \
11 & 4
\end{array}$$  The sample correlation coefficient equals
A) .3162.
B) -.3162.
C) .10.
D) -.10.

Quizplus · Accepted Answer

The correlation coefficient is calculated using the formula for Pearson's correlation. After computing the covariance of x and y and dividing by the product of their standard deviations, the result is approximately -0.3162, indicating a weak negative correlation.