Question: 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

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?

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

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

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