Answer true or false: The fact that the sum of our fitted residuals is zero, when we estimate a model with Ordinary Least Squares, depends on the model including an intercept.
Answer true or false: Contrary to the statement above, the reason that the fitted residuals sum to zero is because of the statistical property that the expected value of an unobserved disturbance term (u) is zero; this means that the u's in our model sum to zero, so the same must be true of our estimate of these terms, namely the fitted residuals.
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