A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
One week is 7 days, so substitute x = 7 into the regression equation: ŷ = −3.64(7) + 96.5 = −25.48 + 96.5 = 71.02. The predicted grade is 71.02 points, choice B.
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