what matlab code can be used to perform a linear least squares solution for y = mx + b?calculates matrix multiplication – use for loops. in matlab

main.m
% Input data
x = [1, 2, 3, 4, 5]';  % x-values
y = [2, 4, 6, 8, 10]'; % corresponding y-values

% Construct the Vandermonde matrix
X = [x, ones(size(x))];

% Perform the linear least squares solution
coefficients = zeros(2, 1);
for i = 1:size(X, 2)
    for j = 1:size(X, 2)
        coefficients(j) = coefficients(j) + X(:,i)' * X(:,j);
    end
end
coefficients = coefficients \ (X' * y);

% Extract the slope (m) and y-intercept (b) from the coefficients
m = coefficients(1);
b = coefficients(2);

disp(['The slope (m) is: ', num2str(m)]);
disp(['The y-intercept (b) is: ', num2str(b)]);
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