Slope and intercept from a linear model


Let b0 and b1 be the slope and intercept from a linear model fitted to a particular data.After estimation you come to realize that X was misspecified and the true value of X is X' = 2*X +3

a) Can you get the correct estimate without refitting the model? find them in terms of b0 and b1(For extremly large datasets,this re-computation can be very expensive)

b) Suppose Y is misspecified this time and the Y' = 3*Y-5.Can you still retrieve the estimates?

c) Suppose your new response is log(Y).comment on whether you can repeat the above steps

 

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Basic Statistics: Slope and intercept from a linear model
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