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 $\hat { \beta } _ { 1 } \stackrel { p } { \longrightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 }$

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The Answer of 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 $\hat { \beta } _ { 1 } \stackrel { p } { \longrightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 }$

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