If a regression model is Z= + Y E[Y]= 8 E[Y^2]=1+8^2 (less than infinity). Unknown parameters:...

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If a regression model is Z=μ + Y E[Y]= 8 E[Y^2]=1+8^2 (less than infinity). Unknown parameters: µ and 8 Part 1: Derive the OLS estimator of µ. Part 2: what is the probability limit of the OLS estimator of µ. Part 3: What is the MSE of the OLS estimator of µ. Part 4: Determine what value/values of 8 Is OLS consistent? Part 5: what is the asymptotic distribution of the OLS estimator. Show your working. If a regression model is Z=μ + Y E[Y]= 8 E[Y^2]=1+8^2 (less than infinity). Unknown parameters: µ and 8 Part 1: Derive the OLS estimator of µ. Part 2: what is the probability limit of the OLS estimator of µ. Part 3: What is the MSE of the OLS estimator of µ. Part 4: Determine what value/values of 8 Is OLS consistent? Part 5: what is the asymptotic distribution of the OLS estimator. Show your working.