A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles)by her sales representatives and their amount of sales (in thousands of dollars) per month. Find the equation ofthe regression line for the given data. What would be the predicted sales if the sales representative traveled 0miles? Is this reasonable? Why or why not? Round the regression line values to the nearest hundredth. $\begin{array}{|l|c|c|c|c|c|c|c|c|c|}
\text { Miles traveled, } \mathrm{x} & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \
\hline \text { Sales, } \mathrm{y} & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120 \
\hline
\end{array}$
A) $\hat { \mathrm { y } } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920$; No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.

B) $\hat { y } = 3.53 x + 37.92 ; \$ 3792 ;$ No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.
C) $\hat { y } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920$; Yes, it is reasonable.
D) $\hat { y }= 37.92 \mathrm { x } + 3.53 ; \$ 3792 ; \mathrm { Yes }$, it is reasonable.

Question

A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles)by her sales representatives and their amount of sales (in thousands of dollars) per month. Find the equation ofthe regression line for the given data. What would be the predicted sales if the sales representative traveled 0miles? Is this reasonable? Why or why not? Round the regression line values to the nearest hundredth. $\begin{array}{|l|c|c|c|c|c|c|c|c|c|}
\text { Miles traveled, } \mathrm{x} & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \
\hline \text { Sales, } \mathrm{y} & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120 \
\hline
\end{array}$
A) $\hat { \mathrm { y } } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920$; No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.

B) $\hat { y } = 3.53 x + 37.92 ; \$ 3792 ;$ No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.
C) $\hat { y } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920$; Yes, it is reasonable.
D)  $\hat { y }= 37.92 \mathrm { x } + 3.53 ; \$ 3792 ; \mathrm { Yes }$, it is reasonable.

Quizplus · Accepted Answer

The equation of the regression line is given as $\hat { y } = 3.53x + 37.92$, which means if a sales representative traveled 0 miles, the predicted sales would be \$37,920. This prediction may not be reasonable because it suggests that sales can occur without any travel, which might not be practical for a sales role that typically requires travel to generate sales.

A Manager Wishes to Determine the Relationship Between the Number