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
Plot the data points given in the table using hour as the independent variable. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a.
Yes, in the scatterplot the wavelike behavior is apparent although not precise.
b.
Yes, the scatterplot shows an increase over time.
c.
No, there is no correlation between the points.
d.
No, the scatterplot depicts a hyperbole.