The following table and graph show the average distance of a planet from the sun

Question

The following table and graph show the average distance of a planet from the sun (in millions of miles) and the period of revolution around the sun (in earth days) for the nine planets. a. Why is it necessary to transform the data to obtain a linear model? Which of the following is the appropriate linear model for the transformed data? log Period = 2.68 +0,000748 Distance log Period = -0.392 + 1.50 leg Distance What is the period for a planet whose distance is 80,000,000 miles? What is the nonlinear model relating the distance and the period?

Explanation / Answer

This is necessary because either an exponential (first) orpower(second) model will fit the data better (it's a curve). The first has r=.8935007 The second has r=.9999978 We will choose the second. So the power model Period = 10-0.392 d1.50models the data. b) plug in 80 for d Period = 120 days c)Period = 10-0.392 d1.50

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