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Please solve only 3. no need to solve 1 & 2. Question # 35: Consider a set of four data points: f (0) = 0f

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Please solve only 3. no need to solve 1 & 2.

Question # 35: Consider a set of four data points: f (0) = 0f (2) = -4 (-1) = and f(1) = 2Find the best fit polynomial of degree two, p2 (2) for the above data points using least-squares method by answering the following: 1. (2 Marks) Write down the matrices, Aand b, from the above data. 2. (3 Marks) Compute the normal matrix AT Aand ATb. 3. (5 Marks) Use the results in the previous part to compute the column matrix x = (a, az az) where ao, aj and az are the coefficients of the polynomial P2, and then write the expression of the polynomial P2. a2

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