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.
-A manager wishes to determine whether there is a relationship between the number of years her sales representatives have been with the company and their average monthly sales. The table shows the years of service for each of her sales representatives and their average monthly sales (in thousands of dollars) .
$\begin{array}{l|c|c|c|c|c|c|c|c|c}\text { Years with company, } x & 4 & 5 & 12 & 9 & 10 & 17 & 5 & 3 & 13 \\\hline \text { Sales, } y & 21 & 23 & 68 & 52 & 55 & 51 & 38 & 45 & 110\end{array}$

A) $r = 0.632$ ; no linear relation exists
B) $\mathrm { r } = 0.632$ ; linear relation exists
C) $\mathrm { r } = 0.717$ ; linear relation exists
D) $\mathrm { r } = 0.717$ ; no linear relation exists