Question
1. For two generic random variables Z; and W; the Law of Iterated Expectations (LIE) says that: E\left[W_{i}\right]=E_{Z}\left[E\left[W_{i} \mid Z_{i}\right]\right] E\left[Z_{i}\right]=E_{W}\left[E\left[Z_{i} \mid W_{i}\right]\right] You are given the following regression model: Y_{i}=\beta_{\mathbf{0}}+\beta_{1} X_{i
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