The table shows the mean (average) distances d of the planets from the Sun (taking the unit of measurement to be the distance from Earth to the Sun) and their periods T (time of revolution in years).

(a) Fit a power model to the data.
(b) Kepler€™s Third Law of Planetary Motion states that €œThe Square of the period of revolution of a planet is proportional to the cube of its mean distance from the Sun.€ Does your model corroborate Kepler€™s Third Law?

Transcribed Image Text:

Planet 0.241 Mercury Venus 0.387 0,723 0.615 Earth 1.000 1.000 1.523 1.881 Mars Jupiter Saturn 5.203 11.861 9.541 29.457 Uranus 19.190 84.008 Neptune Pluto 30.086 164.784 39.507 248.350