Square errors are beneficial in providing direction for example you are able to see the negative vs postive outcomes. If

Square errors are beneficial in providing direction, for example, you are able to see the negative vs postive outcomes.
If you cancel out the errors, you are actually canceling a crucial factor that can give you the indicators of which direction you need to go, especially when you are using calculations to determine an outcome which can enable you to decide the best course of action.

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