Line Passing Through Given Points

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I am trying to find the angle of the outer line of the object in the green region of the image as shown in the image above…

For that, I have scanned the green region and get the points (dark blue points as shown in the image)...

As you can see, the points are not making straight line so I can’t find angle easily.

So I think I have to find a middle way and that is to find the line so that the distance between each point and line remain as minimum as possible.

So how can I find the line so that each point exposes minimum distance to it……?

Is there any algorithm for this or is there any good way other than this?

Solution

The obvious route would be to do a least-squares linear regression through the points.