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Write a MATLAB code to using the given data file datafile.dat:

(a) Linear least squares polynomial, (b) Least squares polynomial of degree 2, (c) Least squares polynomial of degree 3,

Plot the determined polynomial fits and the measured data on a graph then present the error values and coefficients of the polynomial fits in a table.

You can use inv(.) command in MATLAB to solve linear system of equations in the form Ax = b.

First column is the distance in m and the second column is the measured signal level in V.

datafile.dat

+1.000E+03 +3.0495642E-02 +1.100E+03 +2.7594421E-02 +1.200E+03 +2.5538733E-02 +1.300E+03 +2.2997760E-02 +1.400E+03 +2.1340250E-02 +1.500E+03 +2.0604664E-02 +1.600E+03 +1.7475806E-02 +1.700E+03 +1.7344306E-02 +1.800E+03 +1.5904310E-02 +1.900E+03 +1.5559922E-02 +2.000E+03 +1.5389207E-02