Let n data points (x1, y1) , . . . , (xn, Yn) be given. Generalize Exercise

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Let n data points (x1, y1) , . . . , (xn, Yn) be given. Generalize Exercise 57 to show that if at least k + 1 of x1, . . . , xn are distinct, then the given points have a unique least squares approximating polynomial of degree at most k.
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