Answer the following questions. Prove your answers using derivations, following the properties of summation operator, expectations operator, and variance operator. 2. Consider a population regression...

Extracted text: Answer the following questions. Prove your answers using derivations, following the properties of summation operator, expectations operator, and variance operator. 2. Consider a population regression equation: Y = 6, + B,X + u, where B, and B, are the intercept and slope parameters, respectively. Assume that E(u) = 0. Note that the equation does not take into account yet the changes in the measurement of X. e. Show that Cov(X,Y) Var(X) Hint: Use computational formulas of Cov(X,Y) and Var(X). You may begin your derivation by taking the expectation of the equation on both sides. Given the measurement change in X, how will the following parameters change? f. Slope parameter, B, g. Intercept parameter, B.