(Answered) Consider the population regression model: ,Y=α βx εRemember that the OLS estimator of β can be…

Consider the population regression model: Y=α βx ε
Remember that the OLS estimator of β can be approximated by the following expression: hat(β)~~β Cov(x,ε)Var(x)
In order for hat(β) to approach β in large samples we need to assume:
Cov(x,ε)=0
Cov(x,ε)<0 We don't need any assumptions. Var(x)=0