Consider the observed data {i}i-1...n from following model: y = 3* + , where ~ ...

 

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Consider the observed data {i}i-1...n from following model: y = 3* + ₁, where ~ € N(0,02), where 3* E R is the underly true parameter and o2 is the true variance of the residual. Now we consider solving the following optimization problem to estimate 3*: Â(X) = min | Ż(14 − 3)² + where A is known. Derive the closed forms of bias E[B(A) - 3*] and variance Var(8(X)). Consider the observed data {i}i-1...n from following model: y = 3* + ₁, where ~ € N(0,02), where 3* E R is the underly true parameter and o2 is the true variance of the residual. Now we consider solving the following optimization problem to estimate 3*: Â(X) = min | Ż(14 − 3)² + where A is known. Derive the closed forms of bias E[B(A) - 3*] and variance Var(8(X)).

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The optimization problem we are considering is a linear regression problem where we want to minimize ... View the full answer