Please solve Problem 2 as a MATLAB code

a) Here's the MATLAB code for the line fitting function, myline

Filename: myline.m

function [a,b] = myline(x,y)

%MYLINE Function to fit the line for given data, % Input - x,y vectors of data % Output - a,b coefficient of the line 'y = ax+b'

n = length(x); a = (sum(x)*sum(y)-n*sum(x.*y))/(sum(x)^2 - n*sum(x.^2)); b = (sum(x)*sum(x.*y)- sum(x.^2)*sum(y))/(sum(x)^2-n*sum(x.^2));

end

(b) Using the given data, obtained the following results,

>> x = [1 2 4 5]';

>> y = [1 2 2 3]'; >> [a b] = myline(x,y); >> a

a =

0.4000

>> b

b =

0.8000

(c) Comparing the results with in-built polyfit.

p = polyfit(x,y,1);

>> p

p =

0.4000 0.8000

>> x = linspace(1,5,10); >> y1 = polyval([a b],x); >> y2 = polyval(p,x);

>> plot(x,y1,'rx',x,y2,'bo')

Please Amswer Problem 2:

a) Write a function to fit data to a line of the form y ax+b. Use the following equations to obtain the line properties (the function name is myline): a E b) Use these four data points (1,1), (2,2), (4,2), (5,3) to test your function. c) Verify your function by comparing your result with the one obtained by Matlab function polyfit