The Data Below Are the Final Exam Scores of 10

question 59

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 7 hours the previous night? Is this a reasonable question?Round the regression line values to the nearest hundredth, and round the predicted score to the nearest wholenumber. $\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } \mathrm{x} & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm{y} & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

• A) \(\hat { y } = 5.04 \mathrm { x } + 56.11 ; 91\); Yes, it is reasonable.
• B) \(\hat { y } = 5.04 \mathrm { x } + 56.11 ; 91\); No, it is not reasonable. 7 hours is well outside the scope of the model.
• C) \(\hat { y } = - 5.04 \mathrm { x } + 56.11 ; 21\); No, it is not reasonable. 7 hours is well outside the scope of the model.
• D) \(\hat { y } = - 5.04 \mathrm { x } + 56.11 ; 21\); Yes, it is reasonable.