Let edu denote years of education, exper years of experience, wage denote wages measured in dollars per hour, and assume that the following model is correct: wage=B₁ + B₂edu + e where E[eledu, exper] = 0 and the error e is homoskedastic, so that Var(eledu, exper) = ². Consider two regressions: (I) A first regression estimates the given model (denote those estimates by b₁,b₂); (II) A second regression also adds exper as a regressor -- i.e. estimates wage = B₁ + B₂edu + ß3exper + e (denote those estimates by b₁,b₂, 53). Which of the following statements is true? a. The estimator b₂ may be biased (i.e. we may have E[b₂] # B₂). O b. If wage and exper are positively correlated, then E[b3] > 0. O c. Var(b₂) depends on the correlation between exper and edu (Hint: this is not asking the variance of b2.) O d. If Var(b₂) = Var(5₂), then the correlation between exper and edu must be zero. O e. The correlation between wage and exper must be equal to zero.

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Let edu denote years of education, exper years of experience, wage denote wages measured in dollars per hour, and assume that the following model is correct:
wage = B1 + B2edu + e
where E[eledu, exper] = 0 and the error e is homoskedastic, so that Var(e|edu, exper) =
Consider two regressions: (I) A first regression estimates the given model (denote those estimates by b1, b2); (I) A second regression also adds exper as a regressor -- i.e.
estimates wage = ß1 + Bzedu + ßzexper + e (denote those estimates by b1, b2, b3). Which of the following statements is true?
O a.
The estimator b2 may be biased (i.e. we may have E[b2] # B2).
O b. If wage and exper are positively correlated, then E[b3] > 0.
O c. Var(b2) depends on the correlation between exper and edu (Hint: this is not asking the variance of b2.)
O d. If Var(b2) = Var(b2), then the correlation between exper and edu must be zero.
Oe.
The correlation between wage and exper must be equal to zero.
Clear my choice
Transcribed Image Text:Let edu denote years of education, exper years of experience, wage denote wages measured in dollars per hour, and assume that the following model is correct: wage = B1 + B2edu + e where E[eledu, exper] = 0 and the error e is homoskedastic, so that Var(e|edu, exper) = Consider two regressions: (I) A first regression estimates the given model (denote those estimates by b1, b2); (I) A second regression also adds exper as a regressor -- i.e. estimates wage = ß1 + Bzedu + ßzexper + e (denote those estimates by b1, b2, b3). Which of the following statements is true? O a. The estimator b2 may be biased (i.e. we may have E[b2] # B2). O b. If wage and exper are positively correlated, then E[b3] > 0. O c. Var(b2) depends on the correlation between exper and edu (Hint: this is not asking the variance of b2.) O d. If Var(b2) = Var(b2), then the correlation between exper and edu must be zero. Oe. The correlation between wage and exper must be equal to zero. Clear my choice
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