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**Unformatted text preview: **What is the best fit function, and what is the value of E , the sum of the squared errors, when using it? Provide a graph of the data and of the fitting function. For the function find the best fit polynomial, in the least squares sense, of degrees 0 through 4. Use the orthogonal family of Legendre polynomials rather than the usual power function basis. Provide one graph showing f and the five approximating polynomials. 1 , cos , cos2 , cos3 , cos4 , cos5 . 2 x x x x x 4. Repeat exercise 3. using trigonometric functions with the basis functions: ( 29 a x f x be = Due: May 20, 2010...

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