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i Xxi Yi 1 2 3 5 -4 -3 0 0 0 Consider the data points 67 8 9 10 11 1 2 3

i 1 Xxi -5 Yi 0 2 3 -4 -3 0 0 Consider the data points 4 5 6 7 8 9 10 11 -2 -1 0 1 2 3 4 1 1 1 0 0 0 0 0 (a)

i Xxi Yi 1 2 3 5 -4 -3 0 0 0 Consider the data points 67 8 9 10 11 1 2 3 4 0 0 0 0 0 4 5 -2 -1 0 1 1 1 (a) Find the 10th degree polynomial, P0(x), fit for the above data. (b) Find the 7th degree Least squares Polynomial Fit, P(x), for the above data. (c) Plot P10(x), P7(x) and the data all on the same graph and compare which polynomial is best fit. Note: Use Mathematica for your calculations.

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