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View Full Version : formula for closest distance to regression line


tnecniv
Oct31-09, 09:37 PM
i need to calculate the closest distance of the point that lies closest to the regression
line for my programing but i am not sure what is the formula. maybe someone can help me out here?

thanks in advance

Pere Callahan
Nov1-09, 06:27 AM
What are you given..? A set of points and you want to fit them to a straight line?

Without further information I would suggest computing the distance to the line for every point and then taking the minimum.

arildno
Nov1-09, 07:03 AM
I agree with pere Callahan.

But I really don't see what possible interest such a calculation could have.

After all, you could have points lying ON the line of regression, and still have a very bad approximation.

tnecniv
Nov1-09, 08:23 AM
i am trying to find the nearest point to regression line
Having found the regression line, i will need to figure out the point that lies closest to the regression line.

Thanks in advance

arildno
Nov1-09, 08:39 AM
i am trying to find the nearest point to regression line
Having found the regression line, i will need to figure out the point that lies closest to the regression line.

Thanks in advance

Do you know how, in general, to find the distance between a point and a line?

If you do, just make an algorithm to calculate those distances, and pick out that point whose distance is the least.