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5. (5 points) Generate thirty points (i, y) for i1,,30, by the MATLAB code: randn('seed',314); x = linspace(0, 1 , 30); y = 2 *

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5. (5 points) Generate thirty points (i, y) for i1,,30, by the MATLAB code: randn('seed',314); x = linspace(0, 1 , 30); y = 2 * x. 2-3 * x + 1 + 0.05 * randn(size(x)); Find the quadratic function y = az2 +bx+c that best fits the points in the least squares sense. Indicate what are the parameters a,b,c found by the least squares solution, and plot the points along with the derived quadratic function. The resulting plot should look like the one in Figure 1 0.B 0.6 0.4 0.2 -0.2 0 0. 02 0.3 04 0.5 0.6 0.7 0.8 0.9 Figure 1: 30 points and their best quadratic least squares fit

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