5. Suppose that we are fitting the straight line Y₁ = Bo+B₁xi +, but the variance of the Y's now depend on the level of x; that is, 0² V(Y₁|x₁) = ², V(Y₂|x2) = ²₂, ..., V(Yn|™n) = Wn where the w; are known constants, often called weights. Find the maximum likelihood estimates for 30 and 3₁. Assume that E(₁) = 0 and that Y's are Normally distributed. Show all your work and circle your final answers.
5. Suppose that we are fitting the straight line Y₁ = Bo+B₁xi +, but the variance of the Y's now depend on the level of x; that is, 0² V(Y₁|x₁) = ², V(Y₂|x2) = ²₂, ..., V(Yn|™n) = Wn where the w; are known constants, often called weights. Find the maximum likelihood estimates for 30 and 3₁. Assume that E(₁) = 0 and that Y's are Normally distributed. Show all your work and circle your final answers.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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