There is a power relationship between the radius of an orbit, x, and the time of one orbit, y, for the moons of Saturn. (The table at right lists 11 of Saturn's 30 moons.)
a. Make a scatter plot of these data.
b. Experiment with different values of a and b in the power equation y = axb to find a good fit for the data. Work with a and b one at a time, first adjusting one and then the other until you have a good fit. Write a statement describing how well y = axb fits the data.
c. Use your model to find the orbital radius of Titan, which has an orbit time of 15.945 days.
d. Find the orbital time for Phoebe, which has an orbit radius of 12,952,000 km.
This question was answered on: Jul 11, 2017
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