The tide is the regular rising or falling of the ocean’s surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings Point, N. Y., for a 24 hour period, February 9th through February 10th of 2009. Hour
Measurement in feet above the average low tide
0
-0.98
2
5.83
4
7.78
6
7.34
8
2.33
10
-0.47
12
-0.21
14
5.32
16
8.83
18
8.31
20
3.80
22
-0.28
24
0.53

Use your graphing calculator to produce a sine regression model for the data in the table. Round a, b, c, and d to the nearest 0.001.
a.
y = 0.519 sine (4.974 x minus 3.965) + 0.812
b.
y = 4.974 sine (0.519 x minus 0.812) + 3.965
c.
y = 0.519 sine (4.974 x minus 0.812) + 3.965
d.
y = 4.974 sine (0.519 x minus 3.965) + 0.812