Matlab Least square Regression Part e)

x0.2 0.4 0.6 0.8 2 46 y-80 -30 -20 -15 -20 0 20 4080 a) Find a polynomial that will pass through all these data points. State the polynomial clearly b) Determine the coefficients a and b for the function fit c) Plot the solutions of parts b) with data points marked, title, labels and legends d) What is the total residual square? e) Repeat part b) but use least-squared method from definition. (i.e Derive total residual square and minimize it by hand to find a set of linear equations that can be used to solve coefficients a and