Ellipse around the data in MATLAB

Question

I would like to reproduce the following figure in MATLAB:

There are two classes of po

Answer 1

I'd try the following approach:

1. Calculate the x-y centroid for the center of the ellipse (x,y in the linked question)
2. Calculate the linear regression fit line to get the orientation of the ellipse's major axis (angle)
3. Calculate the standard deviation in the x and y axes
4. Translate the x-y standard deviations so they're orthogonal to the fit line (a,b)