= = Consider the multiple regression model y = Xißi +€. We then decided to add more predictors in the model so it is now
Posted: Wed May 11, 2022 8:17 pm
= = Consider the multiple regression model y = Xißi +€. We then decided to add more predictors in the model so it is now expressed as y = Xißı+X232 +€, with E(e) = 0 and var(e) = oʻI. Show that cov(1, 2.1) = 0. Here, ê, is the estimate of B1 from the regression of y on X1 (short regression) and 22.1 is the estimator of B2 from the regression of y on Xı and X2 (long regression).