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

Question

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

Quizplus · Accepted Answer

The correct equation of the regression line is determined by calculating the slope (m) and the y-intercept (b) using the given data points. The formula for the regression line is $\hat{y} = mx + b$, where m is the slope and b is the y-intercept. Choice A correctly represents the slope as 3.529, which indicates the increase in sales for each hundred miles traveled, and the y-intercept as 37.916, which represents the sales amount when no miles are traveled.

A Manager Wishes to Determine the Relationship Between the Number