The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin(0.887x + 1.271) + 85.635, where x represents the day where 1 = Sun of the first week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.DaySunMonTueWedThuFriSatNumber of Customers11679 557088117
Tuesday of the first week is day x = 3, since Sunday is day 1. Substitute 3 into the model: y = 29.882sin(0.887(3) + 1.271) + 85.635 ≈ 64.3. Rounded to the nearest customer, the prediction is 64 customers, choice D.
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