and this model satisfies Assumptions MLR.1 through MLR.4. However, we estimate t
ID: 2633719 • Letter: A
Question
and this model satisfies Assumptions MLR.1 through MLR.4. However, we estimate the model that omits . Let, , and be the OLS estimators from the regression of y on and . Show that the expected value of (given the values of the independent variables in the sample) is
where the are the OLS residuals from the regression of and .
[Hint: The formula for comes from equation of ]
Suppose that the population model determining y is 4.Suppose that the population model determining y comes from equation of 4.Suppose that the population model determining y . [Hint: The formula for 4.Suppose that the population model determining y and 4.Suppose that the population model determining y are the OLS residuals from the regression of 4.Suppose that the population model determining y where the 4.Suppose that the population model determining y (given the values of the independent variables in the sample) is 4.Suppose that the population model determining y . Show that the expected value of 4.Suppose that the population model determining y and 4.Suppose that the population model determining y be the OLS estimators from the regression of y on 4.Suppose that the population model determining y , and 4.Suppose that the population model determining y , 4.Suppose that the population model determining y . Let4.Suppose that the population model determining y and this model satisfies Assumptions MLR.1 through MLR.4. However, we estimate the model that omitsExplanation / Answer
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