The goal of this problem is to fit a quadratic function of the form f(x) = c₁x² + ₂x to the data points (-2, 13), (-1,-1), (0, -1), (2, 17), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xc = y where X = , y = and c = [c1, c₂]T (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1 = C2

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