The Data Below Are the Final Exam Scores of 10

Multiple Choice

The data below are the final exam scores of 10 randomly selected history students and the number of hoursthey slept the night before the exam. Find the equation of the regression line for the given data. What would bethe predicted score for a history student who slept 15 hours the previous night? Is this a reasonable question?Round your predicted score to the nearest whole number. Round the regression line values to the nearesthundredth. $\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } \mathbf{x} & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm{y} & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

A) $\hat { y } = 5.04 \mathrm { x } + 56.11 ; 132$ ; No, it is not reasonable. 15 hours is well outside the scope of the model.
B) $\hat { y } = 5.04 \mathrm { x } + 56.11 ; 132$ ; Yes, it is reasonable,
C) $\hat { y } = - 5.04 x + 56.11 ; - 20$ ; No, it is not reasonable.
D) $\hat { y } = - 5.04 \mathrm { x } + 56.11 ; - 20$ ; Yes, it is reasonable.