The Data Below Are the Average One-Way Commute Times (In

Multiple Choice

The data below are the average one-way commute times (in minutes) for selected students and the number ofabsences for those students during the term. Find the equation of the regression line for the given data. Whatwould be the predicted number of absences if the commute time was 40 minutes? Is this a reasonable question?Round the predicted number of absences to the nearest whole number. Round the regression line values to thenearest hundredth. $\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Commute time (min) , } \mathrm{x} & 72 & 85 & 91 & 90 & 88 & 98 & 75 & 100 & 80 \\\hline \text { Number of absences. } \mathrm{y} & 3 & 7 & 10 & 10 & 8 & 15 & 4 & 15 & 5\end{array}$

A) $hat {y }= 0.45 x - 30.27 ; - 12$ absences; No, it is not reasonable. 40 minutes is well outside the scope of the model.
B) $\hat { y } = 0.45 \mathrm { x } - 30.27 ; - 12$ absences; $\mathrm { Yes }$ , it is reasonable.
C) $\hat { y } = 0.45 \mathrm { x } + 30.27 ; 48$ absences; Yes, it is reasonable.
D) $\hat { y } = 0.45 \mathrm { x } + 30.27 ; 48$ absences; No, it is not reasonable. 40 minutes is well outside the scope of the model.