Give at Least Three Examples Where You Could Envision Errors-In-Variables

Essay

Give at least three examples where you could envision errors-in-variables problems. For the case where the measurement error occurs only for the explanatory variable in the simple regression case, derive $\hat { \beta } _ { 1 } \stackrel { p } { \longrightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 }$