Question: question 1 1. (Least Squares Curve Fitting) Consider the function of the form y = l sin(a:) + )62 sin(2a:) + )63 sin(3a:) + 54

question 1

1. (Least Squares Curve Fitting) Consider the function of the form y = l sin(a:) + )62 sin(2a:) + )63 sin(3a:) + 54 sin(49:) + 55 sin(59:)+ {()}{()} (a) [7 marks] If the function exactly went through these 10 points, what linear system would the [31, g, {33, 4, {35 satisfy? (write as a matrix vector equation) and the points (b) [7 marks] What is corresponding system the least squares solution satises (i.e. the normal equations)? (c) [6 marks] Find the least squares solutiOn

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