Formula for closest distance to regression line

[tnecniv]

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]

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]

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]

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]

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.