FIt ellipse to data in polar coordinates

So I have a set of data basically X=(pi/180).*[0:10:350], aka a full rotation in radians. Next, I have a set of data (36 total points) that map out an ellipse, but only when in polar coordinates. My question is how I can do a best-fit of an ellipse in polar to my data set. Any help is appreciated, its just for an undergrad optics lab. Thanks!

Y=[3 2 1 1 1 1 2 2 3 3 4 4 5 5 5 4 4 4 3 3 2 2 2 2 2.5 3 4 4 4.5 5 5 5 5 5 4 4];

Answer 1

[Dr. Seis]

You may want to try modifying the code I put up on:

http://www.mathworks.com/matlabcentral/answers/17847-fitting-a-sin-function-to-a-sparse-dataset-with-a-known-parameter

The code in the link above will try to fit "x" and "y" data to a sine function. But you could very well replace the general form of a sine function with the general form of an ellipse to try to find those coefficients.

Let me know if you have any questions.