How to surround data with an ellipse

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Suppose that I am plotting different vectors of data with different dimensions in the same plot (x1,y1), (x2,y2) and I would like to surround this data with an ellipse, one ellipse for the (x1,y1) and another for (x2,y2). Can Matlab do it, or is it impossible?

And if this can be done with Matlab, can I also for some reasons, let one of the point of this data (x1,y1) lie outside the ellipse?

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