The human resource manager at Gamma, Inc. wants to examine the relationship between annual salaries (Y), the number of years employees have worked at Gamma, Inc. ( ) and whether the employee is male or female ( ). They are also interested in whether the interaction between the two explanatory variables ( ) has a significant impact on salaries. These data have been collected for a sample of 28 employees and the regression output is shown below.
-(A) Use the information above to estimate the linear regression model.
(B) Write the regression equation in (A) as two separate equations; one for females and one for males, and interpret the results.
(C) Would any of the variables in the linear regression model in (A) be considered a dummy variable? Explain your answer.
(D) Identify and interpret the coefficient of determination ( ) for the model in (A).
(E) Identify and interpret the standard error of estimate (s_e) for the model in (A).

Question

The human resource manager at Gamma, Inc. wants to examine the relationship between annual salaries (Y), the number of years employees have worked at Gamma, Inc. (

) and whether the employee is male or female (

). They are also interested in whether the interaction between the two explanatory variables (

) has a significant impact on salaries. These data have been collected for a sample of 28 employees and the regression output is shown below.

-(A) Use the information above to estimate the linear regression model.
(B) Write the regression equation in (A) as two separate equations; one for females and one for males, and interpret the results.
(C) Would any of the variables in the linear regression model in (A) be considered a dummy variable? Explain your answer.
(D) Identify and interpret the coefficient of determination (

) for the model in (A).
(E) Identify and interpret the standard error of estimate (s_e) for the model in (A).

Quizplus · Accepted Answer

The Answer of The human resource manager at Gamma, Inc. wants to examine the relationship between annual salaries (Y), the number of years employees have worked at Gamma, Inc. ( ) and whether the employee is male or female ( ). They are also interested in whether the interaction between the two explanatory variables ( ) has a significant impact on salaries. These data have been collected for a sample of 28 employees and the regression output is shown below. -(A) Use the information above to estimate the linear regression model. (B) Write the regression equation in (A) as two separate equations; one for females and one for males, and interpret the results. (C) Would any of the variables in the linear regression model in (A) be considered a dummy variable? Explain your answer. (D) Identify and interpret the coefficient of determination ( ) for the model in (A). (E) Identify and interpret the standard error of estimate (s_e) for the model in (

The Human Resource Manager at Gamma, Inc