Why do we want to minimize the square difference from a point to the line instead of the actual difference when using the least squares method?

checkbox select:

1. It's more accurate to minimize the larger value

2. We could minimize the actual difference as well

3. We want to ensure the values is positive because it is a distance

4. We want to ensure that far away points are weighted more heavily than nearby points.

I think select 1, 2, 4 are right.

But i can not sure.

Anyone can give me some advise?