Answered: Show that if β^1 is conditionally…

Show that if β^1 is conditionally unbiased, then it is unbiased; that is, showthat if E(β^1|X1, . . . . , Xn) = β1, then E(β^1) = β1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Show that if β^{^}₁ is conditionally unbiased, then it is unbiased; that is, show
that if E(β^{^}₁|X₁, . . . . , X_n) = β₁, then E(β^{^}₁) = β1.

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