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Show the following results. (a) The least squares residuals sum to zero: Pn i=1 ubi = 0. (b) The correlation between residuals and regressors is

Show the following results. (a) The least squares residuals sum to zero: Pn i=1 ubi = 0. (b) The correlation between residuals and regressors is zero: Pn i=1 Xiubi = 0. (c) The regression line passes through the sample mean: Y = b0 + b1X

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