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This question is about least squares fitting. i) Download the file lsdata.mat and load it into Matlab using for instance load 'lsdata' ii) The

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This question is about least squares fitting. i) Download the file lsdata.mat and load it into Matlab using for instance load 'lsdata' ii) The file lsdata.mat contains two variables x and y. (Note that the file name is 'Isdata' and not 'Isdata', 'Is' stands for 'least squares'.) Use plot to create a figure which shows the points (x, y), 1i 1000, where x; is the ith point of the vector x and y; is the ith point of the vector y. iii) Use a least squares approach based on a polynomial of degree 4 to approximate the data points. Store the coefficients of the polynomial in the column vector z, where the polynomial is given by z(1) + z(2)x + z(3)x+z(4)x + z(5)x (here, z(i) is the ith entry of z). iv) Plot the least squares approximation in the same figure as the data points. v) Compute the error of the approximation using the 2-norm. Store the result in the variable Iserr. (Note that it is 'Iserr' and not 'Iserr', it stands for 'least squares error'.) vi) Use fprintffprint to print a suitable statement and the value of Iserr. Note: Do not use 'clear', 'clc', 'close' in your code as this can interfere with Matlab grader. check x check y check vector z Iserr using plot using fprintf

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