Question: Suppose that (Xi, Yi), i = 1, . . . , n, form a random sample of size n from the bivariate normal distribution with

Suppose that (Xi, Yi), i = 1, . . . , n, form a random sample of size n from the bivariate normal distribution with means μ1 and μ2, variances σ21 and σ22 , and correlation ρ, and let
denote their M.L.E.€™s Also, let denote the M.L.E. of β2 in the regression of Y
on X. Show that
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