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 $$\text { simple regression case, derive } \hat { \beta } _ { 1 } \stackrel { p } { \rightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 } \text {. }$$

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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 $$\text { simple regression case, derive } \hat { \beta } _ { 1 } \stackrel { p } { \rightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 } \text {. }$$

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