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Q: Unbiased Estimator ( No Answer,   0 Comments )
Question  
Subject: Unbiased Estimator
Category: Science > Math
Asked by: chanchai-ga
List Price: $8.00
Posted: 18 Mar 2004 07:30 PST
Expires: 19 Mar 2004 07:19 PST
Question ID: 317945
Let (x1,Y1), (x2,Y2),...,(xn,Yn) satisfy
               Yi = beta_0 + beta_1*xi+ei , i = 1,...,n,
where e1,e2,...,en ~ N(0,sigma^2). Show that S^2 is unbiased estimator
of sigma^2, where
               S^2 = 1/(n-2)Sum(Yi-beta^_0-beta^_1*xi)^2
and beta^_0 and beta^_1 are the least-square estimators of beta_0 and
beta_1, respectively.
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