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Consider a simple linear regression model with nonstochastic regressor: Yi = β1 + β2Xi + ui...

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Basic Math

Consider a simple linear regression model with nonstochasticregressor: Yi = β1 + β2Xi + ui . 1. [3 points] What are theassumptions of this model so that the OLS estimators are BLUE (bestlinear unbiased estimates)? 2. [4 points] Let βˆ 1 and βˆ 2 be theOLS estimators of β1 and β2. Derive βˆ 1 and βˆ 2. 3. [2 points]Show that βˆ 2 is an unbiased estimator of β2.

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