6.4 An Example

Let \(X\) and \(Y\) be random variables with \(X\sim U(0,1)\) and \(Y=10X^2+W\), where \(W\sim N(0,1)\) and \(X\ind W\).

• Derive the CEF \(E[Y|X]\).
• How to compute the BLP?
• Why do we care about the BLP?