Calculating the Regression Coefficient

I have two column matrices that contain data and i wanted to caculate the regression coefficient between the two matrices

Answer 1

[Codeshadow]

For simple linear regression in the least-square sense, you could do something like this:

% Calculating the regression coefficient
close all

x = linspace(0,1,100);         % Data from your first column/independent variable
y = x + rand(1, length(x));    % Data from your second column/dependent variable

% Compute the mean of your data
yhat = mean(y);
xhat = mean(x);

% Compute regression coefficients in the least-square sense
b = (x - xhat)*(y' - yhat)/sum((x - xhat).^2); % Regression coefficient
a = yhat - b*xhat;                             % Y-intercept

% Plot data
figure()
scatter(x, y);
hold on
plot(x, a + b*x, 'r');
legend(['b = ' num2str(b)]); % Your regression coefficient is b

For more details on the math, you could check the link below:

https://www.bmj.com/about-bmj/resources-readers/publications/statistics-square-one/11-correlation-and-regression

Hope this helps!