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Assume that you are in another solar system and provided with the set of data given below consisting of the planets’ semi major axes and time periods. Can you infer the relation connecting semi major axis and time period?

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Planet (imaginary) Time period (T) (in year) Semi major axis (a) (in AU)
Kurinji 2 8
Mullai 3 18
Marutham 4 32
Neithal 5 50
Paalai 6 72

In a given datas tells us the relation connecting to the semi major axis is proportional to the two times of square of the time period. a ∝ 2T2

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