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.
- $\begin{array}{c|cccccccccc}x & -4 & -2 & 5 & 2 & 0 & -1 & 1 & 3 & 4 & -3 \\\hline y & 3 & -2 & -14 & -9 & -5 & -4 & -7 & -12 & -13 & 0\end{array}$

A) $\mathrm { r } = - 0.995$ ; linear relation exists
B) $\mathrm { r } = - 0.995$ ; no linear relation exists
C) $\mathrm { r } = - 0.885$ ; no linear relation exists
D) $\mathrm { r } = - 0.885$ ; linear relation exists