A graphing calculator is recommended. The table shows the mean (average) distances d of the planets from the sun (taking the unit of measurement to be the distance from the earth to the sun) and their periods T (time of revolution in years). Planet T(d) = Mercury Venus Earth Mars Jupiter Saturn Uranus d 0.387 0.723 1.000 1.523 5.203 19.190 T Neptune 30.086 0.241 0.615 1.000 1.881 9.541 29.457 11.861 84.008 164.784 (a) Fit a power model to the data. Use n = 2. (Round your values to one decimal place.) (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? O Yes O No

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