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.
- $\begin{array}{r|rrrrrrrr}x & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline y & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73\end{array}$

A) $\mathrm { r } = 0.708$ ; linear relation exists
B) $r = 0.235$ ; no linear relation exists
C) $\mathrm { r } = - 0.708$ ; linear relation exists
D) $r = 0.708$ ; no linear relation exists