Curve Fitting using normal equations formulation of least squares

I am given an data table with values of x and y and supposed to approximate the relationship between x and y with a straight line y = a0 + a1*x. I must find the parameters using normal equations formulation of least squares. I have begun, but am unsure how to plot the curve?
My code is the following:
x = [20 40 60 80 100 120 140 160];
y = [13 22 30 36 40 43 45 46];
% Normal equations formulation of least squares
A = [ones(size(x)) x];
b = inv(A'*A)*(A'*y);

 Accepted Answer

x = [20 40 60 80 100 120 140 160].';
y = [13 22 30 36 40 43 45 46].';
% Normal equations formulation of least squares
A = [ones(size(x)) x];
yfit = A*((A'*A)\(A'*y));
plot(x,y,'*',x,yfit,'-')

More Answers (1)

A = [20 40 60 80 100 120 140 160];
A = [A' ones(numel(A),1)];
b = [13 22 30 36 40 43 45 46]';
x = A\b;
fprintf('y = %.5f + %.5f * x\n', x(2),x(1))
test = x(1).*A+x(2);
scatter(A(:,1),b,'or')
hold on
plot(A,test)
hold off

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Asked:

on 23 Jan 2019

Commented:

on 18 Sep 2024

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