Why do we want to minimize the square difference from a point to the line instea

Question

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?

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? It's more accurate to minimize the larger value We could minimize the actual difference as well We want to ensure the value is positive because it is a distance We want to ensure that far away points are weighted more heavily than nearby points

Explanation / Answer

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

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