Will the residuals sum to zero in given case

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Assume that the population regression function is

Yi = βXi + εi

where X and Y and ε are defined above. This is a regression through the origin (no intercept).

A. Under the homoskedastic normal regression assumptions, the t-statistic will have a Student t distribution with n-1 degrees of freedom (not n-2 degrees of freedom). Explain.

B. Will the residuals sum to zero in this case? Explain and show your derivations.

Reference no: EM132434751

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