## 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 planet 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 "The 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?

The table shows the mean (average) distances $d$ of the planets from the sun (taking the unit of measurement to be the distance from planet 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 "The 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?

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