Consider a simple regression model given by Y = β1 + β2Z + v, where the explanatory variable (Z) is subject to measurement error(w). The model is measured by the explanatory variable X instead: X = Z + w. Which of the following are possible consequences of the above model?

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Consider a simple regression model given by Y = β<sub>1</sub> + β<sub>2</sub>Z + v, where the explanatory variable (Z) is subject to measurement error(w). The model is measured by the explanatory variable X instead: X = Z + w. Which of the following are possible consequences of the above model?