Question

The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Find the equation of the regression line for the given data. What would be the predicted score for a history student who spent 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 nearest hundredth.

Hours, X, 3 5 2 8 2 4 4 5 6 3

Scores, Y, 65 80   60 88 66 78 85 90 90 71

Answer 1

for x=15 , predicted score =56.11+5.04*15 =132

as x=15, falls outside the range of values on which this regression is based upon, therefore we should not predict scores from this regression equation for a student who spent 15 hours the previous night