A Manager Wishes to Determine Whether There Is a Relationship

Multiple Choice

A manager wishes to determine whether there is a relationship between the number of years her salesrepresentatives have been with the company and their average monthly sales. The table shows the years ofservice for each of her sales representatives and their average monthly sales (in thousands of dollars) . $\begin{array}{l|c|c|c|c|c|c|c|c|c}\text { Years with company, } x & 6 & 7 & 14 & 11 & 12 & 19 & 7 & 5 & 15 \\\hline \text { Sales, y } & 36 & 38 & 83 & 67 & 70 & 66 & 53 & 60 & 125\end{array}$

A) $\mathrm { r } = 0.632$ ; 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