Question

Suppose the researcher considers the following model: Wage = ?0 + ?1 Female + u, and runs OLS, using wage data on 250 randomly selected male workers and 280 female workers. The researcher has obtained the estimated equation as Wage? = 15 ? 3 Female, R² = 0.05. (1.00) (0.5) In the equation, Wage is measured in dollars per hour, Female is a binary variable that is equal to 1 if the person is a female and 0 if the person is a male. The numbers in the parentheses are the standard errors of the coefficients. Another researcher uses the same data but regresses Wage on Male. Male is a variable that is equal to 1 if the person is male and 0 if the person is female. What are the regression results calculated from this regression? A. Wage = 12.00 + 3.00 × Male, and R² = 0.05 B. Wage = 12.00 ? 3.00 × Male, and R² = 0.05 C. We cannot answer this question without additional information. D. Wage = 12.00 + 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05. E. Wage = 12.00 ? 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05.

          Suppose the researcher considers the following model:
Wage = ?0 + ?1 Female + u, and runs OLS, using wage data on 250 randomly selected male workers and 280 female workers. The researcher has obtained the estimated equation as
Wage? = 15 ? 3 Female, R² = 0.05.
(1.00)   (0.5)

In the equation, Wage is measured in dollars per hour, Female is a binary variable that is equal to 1 if the person is a female and 0 if the person is a male. The numbers in the parentheses are the standard errors of the coefficients.

Another researcher uses the same data but regresses Wage on Male. Male is a variable that is equal to 1 if the person is male and 0 if the person is female. What are the regression results calculated from this regression?

A. Wage = 12.00 + 3.00 × Male, and R² = 0.05
B. Wage = 12.00 ? 3.00 × Male, and R² = 0.05
C. We cannot answer this question without additional information.
D. Wage = 12.00 + 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05.
E. Wage = 12.00 ? 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05.

Suppose the researcher considers the following model:
Wage = ?0 + ?1 Female + u, and runs OLS, using wage data on 250 randomly selected male workers and 280 female workers. The researcher has obtained the estimated equation as
Wage? = 15 ? 3 Female, R² = 0.05.
(1.00) (0.5)

In the equation, Wage is measured in dollars per hour, Female is a binary variable that is equal to 1 if the person is a female and 0 if the person is a male. The numbers in the parentheses are the standard errors of the coefficients.

Another researcher uses the same data but regresses Wage on Male. Male is a variable that is equal to 1 if the person is male and 0 if the person is female. What are the regression results calculated from this regression?

A. Wage = 12.00 + 3.00 × Male, and R² = 0.05
B. Wage = 12.00 ? 3.00 × Male, and R² = 0.05
C. We cannot answer this question without additional information.
D. Wage = 12.00 + 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05.
E. Wage = 12.00 ? 3.00 × Male, and R² will be some number between 0 and 1, and can be different from 0.05.

Added by Brenda A.

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