Question: question 1 1. (Least Squares Curve Fitting) Consider the function of the form y = 31 sin(:1:) + ,82 sin(2:1:) + ,33 sin(3a:) + [34

question 1

1. (Least Squares Curve Fitting) Consider the function of the form y = 31 sin(:1:) + ,82 sin(2:1:) + ,33 sin(3a:) + [34 sin(4a:) + 35 sin(5a:)+ {} (a) [7 marks] If the function exactly went through these 10 points, what linear system would the 31,B2,B3,4,5 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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