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In mathematical regression analysis, why E hat =y-y hat?
Of course, it's not the actual error, the actual value is there, you use the valuation to simulate him,

The action of "estimating" is your behavior, and the result of your action will not affect the actual value, it is there.

Then y-y is the deviation between "your estimated value" and "actual value", that is, the deviation of valuation behavior.

So e is the error of estimation behavior.