When regressor x is correlated with error e (e.g. due to omitted variable bias) this is called endogeneity which my lead to biased estimates as it violates the exogeneity assumption in the OLS (the Gauss-Markov theorem).
Berlin S.
asked 05/15/22applied econometric
.A. Suppose that x is a regressor in a model to be estimated by ordinary least squares (OLS). If cov(𝑥, 𝑒) ≠ 0, what kind of problem are we faced with when we estimate this model?
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