A Manager Wishes to Determine the Relationship Between the Number

Multiple Choice

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager?s sales representatives travel per month and the amount of sales (in thousands of dollars) per month.
Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Miles traveled, } \mathrm { x } & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \\\hline \text { Sales, } \mathrm { y } & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120\end{array}$$

A) $\hat{y}$ = 3.529x + 37.916
B) $\hat { \mathrm { y } }$ = 37.916x - 3.529
C) $\hat { \mathrm { y } }$ = 3.529x - 37.916
D) $\hat { y }$ = 37.916x + 3.529