Question: f Question # 31: Consider a set of four data points: f (0) = 3 (2) = 2 (1) = 2nd (1) = 1Find

f Question # 31: Consider a set of four data points: f

f Question # 31: Consider a set of four data points: f (0) = 3 (2) = 2 (1) = 2nd (1) = 1Find the best fit polynomial of degree two, p2 (x) for the above data points using least-squares method by answering the following: 1. (2 Marks) Write down the matrices, A and b, from the above data. 2. (3 Marks) Compute the normal matrix AT A and ATb. 3. (5 Marks) Use the results in the previous part to compute the column matrix x = (ao a a2)T, where a0, a1 and 2 are the coefficients of the polynomial p2, and then write the expression of the polynomial p2.

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