Compute the Linear Correlation Coefficient Between the Two Variables and Determine

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
- $\begin{array}{c|cccccccc}\mathrm{x} & 10 & 11 & 16 & 9 & 7 & 15 & 16 & 10 \\\hline \mathrm{y} & 96 & 51 & 62 & 58 & 89 & 81 & 46 & 51\end{array}$

A) $r = - 0.335$ ; no linear relation exists
B) $\mathrm { r } = 0.462$ ; linear relation exists
C) $\mathrm { r } = - 0.284$ ; no linear relation exists