The data below are the first exam scores of 10 randomly selected members of a prior stats class and the number of hours they slept the night before the exam.

Hours, x 4, 6, 5, 8, 4, 5, 6, 9,7, 6,

Scores,y 70, 82, 65, 90, 61, 80, 86, 89, 90, 70

a. Find the equation of the regression line for the given data. Round the regression line values to the nearest hundredth.

b. What would be the predicted score for a stats student who pulled an all nighter (got 0 hours of sleep) the previous night? Round the predicted score to the nearest whole number.

c. Is this a reasonable question? Explain why or why not.