Consider the points (x₁, y₁) (-1,6), (x2, 12) (0, -2), (x3, 13) (1,4), (X4, Y4) = (2,4). + = x + = Find the the quadratic polynomial p(x) that is the best fit for these points, in the sense that the sum of the squared errors |p(x₁) - y₁|² is as small as possible. Answer: p(x) = = x²

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