Question: Give counterexamples to the following claims: (a) Although errors in the explanatory variables cause inconsistency in the OLS estimator, errors in the dependent variable do

Give counterexamples to the following claims:

(a) "Although errors in the explanatory variables cause inconsistency in the OLS estimator, errors in the dependent variable do not."

(b) "Including an unnecessary explanatory variable in an OLS regression does not lead to inconsistency of the OLS estimator."

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