Question: 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).
1) 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.
2) Will the residuals sum to zero in this case? Explain and show your derivations.
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