We have an OLS model with p = 1, and X is a column of 1’s. Find

βˆ and σˆ 2 in terms of Y and n. If the errors are IID N (0, σ2), find the distribution of βˆ − β, σˆ 2, and √n(βˆ − β)/σˆ . Hint: see exercise 3B16.