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.HourMeasurement in feet above the average low tide0-0.9825.8347.7867.3482.3310-0.4712-0.21145.32168.83188.31203.8022-0.28240.53Plot 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.
Answer
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.
Explanation
Plotting hour on the horizontal axis and water level on the vertical axis shows the measurements rise to a high level, fall to a low level, and then rise again. This repeating, wave-like pattern is characteristic of data that may be modeled with a sine regression, even though the points do not form a perfect wave. The correct choice is “Yes, in the scatterplot the wavelike behavior is apparent although not precise.”
AI-written and checked against the verified answer.