Q162Section III (Statistics)162 of 190

Residuals sum to zero whenever the model has an intercept

In a simple linear regression of Y on X based on $n$ observations, the fitted values of $Y_i$ 's are $\hat Y_i$ , $i=1,\dots,n$ respectively. Then $\sum_{i=1}^nY_i=\sum_{i=1}^n\hat Y_i$ :

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