Assume that the least squares error function is E(ao, a1, a2) S(r;) P2(r;)), i=0 where,...

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Assume that the least squares error function is E(ao, a1, a2) S(r;) – P2(r;))², i=0 where, f(x;), P2(x;) denote a function f and polynomial of degree two evaluated at discrete points x; for i = 0, 1, 2, 3, 4. Then deduce A' Ax* = A'b, where, t denotes transpose of A and A, x*, b denote a matrix, least squares solution and solution vector, in that order. [10] Assume that the least squares error function is E(ao, a1, a2) S(r;) – P2(r;))², i=0 where, f(x;), P2(x;) denote a function f and polynomial of degree two evaluated at discrete points x; for i = 0, 1, 2, 3, 4. Then deduce A' Ax* = A'b, where, t denotes transpose of A and A, x*, b denote a matrix, least squares solution and solution vector, in that order. [10]