(4) We are given the following set of data points: (0, 3), (1, 2), (2, 3),...

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(4) We are given the following set of data points: (0, 3), (1, 2), (2, −3), (3, 2), (4, 0), (5, 1), (6, -2) Suppose we want to find the best-fitting polynomial (in the least-squares sense) of the form = co + c₁x + c₂x² + 3x³ p(x) = (a) Write down the overdetermined linear system in the matrix form Ac≈ b that should be solved (in the least-squares sense of minimizing ||Ac - b||2) to compute the coefficients Ci, i = 0, 1, 2, 3 of p(x). (b) Use the MATLAB command c = A\b to find the polynomial p(x). Note that is a backslash, not / which performs division. (4) We are given the following set of data points: (0, 3), (1, 2), (2, −3), (3, 2), (4, 0), (5, 1), (6, -2) Suppose we want to find the best-fitting polynomial (in the least-squares sense) of the form = co + c₁x + c₂x² + 3x³ p(x) = (a) Write down the overdetermined linear system in the matrix form Ac≈ b that should be solved (in the least-squares sense of minimizing ||Ac - b||2) to compute the coefficients Ci, i = 0, 1, 2, 3 of p(x). (b) Use the MATLAB command c = A\b to find the polynomial p(x). Note that is a backslash, not / which performs division.