Question: Find the least squares approximating function of the form r0 + r1x2 + r2 sin x/2 for each of the following sets of data pairs.

Find the least squares approximating function of the form r0 + r1x2 + r2 sin πx/2 for each of the following sets of data pairs.
(a) (0, 3), (1, 0), (1, -1), (-1, 2)
(b) (-1, 1/2), (0, 1), (2, 5), (3, 9)

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