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Consider a model where all of the assumptions of the simple regression model hold (i.e. the model is linear in parameters and correctly specified, the disturbance term have independent normal distributions with zero mean and constant variance), but the regressors are stochastic and the values of the disturbance term have independent distributions, and the OLS regression estimator for the slope coefficient (β2) is given by the following equation. Which of the following properties of the estimator is false?

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MCQs on Econometrics, which is the use of statistical methods to develop theories or test existing hypotheses in economics or finance. 
 


Consider a model where all of the assumptions of the simple regression model hold (i.e. the model is linear in parameters and correctly specified, the disturbance term have independent normal distributions with zero mean and constant variance), but the regressors are stochastic and the values of the disturbance term have independent distributions, and the OLS regression estimator for the slope coefficient (β<sub>2</sub>) is given by the following equation.<br>Would this estimator be a biased or an unbiased estimator?<br/><br><img src='https://www.fatskills.com/images2/GradExams/D7DD9922-6293-43A4-8881-A9672FAFB48E.png' height='73' width='424'/>





 
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