Given the values of an unknown function f: RR at some selected points, we try to...

 

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Given the values of an unknown function f: RR at some selected points, we try to calculate the parameters of a model function using OLS as a distance and a ridge regularization: (if 15 0): a polynomial model function of twelve a parameters: f(x) = a +x + x + ... + 12x12 (if 15 = 1): a Fourier series model function of 8 parameters A, ... A3, P. 41, 42, 43: f(x) =A+A cos (2x-41) + x-+A cos (2x-42) 2x 2 + A3 cos s(3x-93) (if 15 = 2): a polynomial model function of ten a parameters: f(x) = a +x+2x + ... + 10x10 Calculate the OLS estimate, and the OLS ridge-regularized estimates for the parameters given the sample points of the graph of f given that the values are y = $16- Remember to include the steps of your computation which are more important than the actual computations. Given the values of an unknown function f: RR at some selected points, we try to calculate the parameters of a model function using OLS as a distance and a ridge regularization: (if 15 0): a polynomial model function of twelve a parameters: f(x) = a +x + x + ... + 12x12 (if 15 = 1): a Fourier series model function of 8 parameters A, ... A3, P. 41, 42, 43: f(x) =A+A cos (2x-41) + x-+A cos (2x-42) 2x 2 + A3 cos s(3x-93) (if 15 = 2): a polynomial model function of ten a parameters: f(x) = a +x+2x + ... + 10x10 Calculate the OLS estimate, and the OLS ridge-regularized estimates for the parameters given the sample points of the graph of f given that the values are y = $16- Remember to include the steps of your computation which are more important than the actual computations.