Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Data Collectionhard
0:00.0

A researcher uses a regression estimator Y^lr=N[yˉ+b(Xˉ−xˉ)]\hat{Y}_{lr} = N[\bar{y} + b(\bar{X} - \bar{x})]Y^lr​=N[yˉ​+b(Xˉ−xˉ)] to estimate a population total. Under what condition is this estimator more efficient than the simple expansion estimator Y^=Nyˉ\hat{Y} = N\bar{y}Y^=Nyˉ​?