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Depending if we either use the Method of Moments or the Least Squares Method to derive...

Depending if we either use the Method of Moments or the Least Squares Method to derive β0 and β1 of a simple regression model, we may get different estimators for both parameters. True or False

. Regarding the association between the x and the error term in a simple linear regression model such as y = β0 +β1x+u, if x and u are uncorrelated, then we have enough information to derive the estimators. True or False

In a simple linear regression model, the error term is related to the sample, while the residual is related to the population. True or False

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Answer #1

1).True

since the two regression techniques are different, so we can get different values of estimators

2) false  

Even if X & U are correlated ( which is called endogeniety issue). , Even then the estimators can be calculated, but they will be biased

3) false

Error is related to population

& Residual is related to sample

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