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Help with this problem

Thom
in Applied Mathematics

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In linear regression:

 

How can I demonstrate that expectation of hat-beta0 is beta0 ??

 

E(^Bo) = Bo

 

I know that

 

E(Yi) = Bo + B1·Xi

 

^Yi = ^Bo + ^B1·Xi

 

^B1 = SSxy / SSxx

^Bo = barY - ^B1· barX

 

E(^B1) = B1

 

 

I would very grateful for your help.

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