The average number of customers per day at a home improvement store is given in the following table. Let x represent 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 a graphing calculator to produce a sine regression model for the data. Round a, b, c, and d to the nearest thousandth.
Day ... sun ... mon ... tues ... wed ... thur ... fri ... sat
Number of Customers ... 115 ... 77 ... 60 ... 51 ... 68 ... 86 ... 120
a.
33.690sin (0.887x + 1.337) + 81.684
b.
34.081sin (0.888x - 1.341) + 82.822
c.
34.081sin (0.888x + 1.341) + 82.822
d.
33.690sin (0.887x + 1.337) - 81.684
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