Orthogonal Distance Regression plot and regression equation

Hi,

I have a dataset, attached herewith for your reference.

I want to plot the orthogonal distance regression line and get y=mx+c equation in the plot.

Thank you!

Answer 1

[KSSV]

Refer this: https://stackoverflow.com/questions/12250422/orthogonal-distance-regression-in-matlab

[MatLab Code N]

Hi KSSV, I had looked into the link you sent but had trouble following it through. I don't see what variables were being plotted to get the regression line. Thank you.

[KSSV]

A = xlsread('sample_data.xlsx') ; 
% Remove NaaN's 
idx = isnan(sum(A,2)) ;
A(idx,:) = [] ; 

x = A(:,1) ; y = A(:,2) ; 


data = [x(:), y(:)];
[U, S, V] = svd(data - repmat(mean(data), size(data, 1), 1), 0);
a = -V(1, end) / V(2, end);
b = mean(data * V(:, end)) / V(2, end);
%
yi = a*x+b ; 
%% Plot
hold on
plot(x,y,'.b')
plot(x,yi,'r')

[MatLab Code N]

Hi KSSV,

In the stackoverflow link, there are Edit 1 and Edit 2 following the section of the code you've used. If I use the edits mentioned in the link, the regression line becomes different. Do you have any idea about it.

Thanks

[KSSV]

YOu use both...calculate the error....which ever gives you less error proceed with that.

[MatLab Code N]

What do you mean by that? Shouldn't there be a standard way of calulating the Orthogonal Distance Regression?