Refer to the work_hrs.rds dataset. In this problem, we want to examine the effect of wage, education (EDUC), and number of children (NCHILD) on the hours worked per week by married women (HRSWORK). Define the below indicator variables:

POSTGRAD = 1 if EDUC > 16, 0 otherwise COLLEGE = 1 if EDUC = 16, 0 otherwise LTCOLLEGE =1 if EDUC < 16, 0 otherwise

A)Estimate the above equation by replacing EDUC with education indicator variables. What is the difference between the average hours worked by a person with a POSTGRAD degree and a person with a college degree? (Round to three decimal places)

B)Estimate the above equation by replacing EDUC with education indicator variables. What is the difference between the average hours worked by a person with a college degree and a person with less than a college degree? (Round to three decimal places)

C)What is the coefficient for education (EDUC)? (Round to three decimal places)

D)Estimate the average hours difference between a black woman who lives in a metropolitan area and a black woman who lives in a nonmetropolitan area. Round to three decimal places.

(Hint: Consider the interaction of dummy variables in the model).

E)Estimate the expected hours worked per week by a married woman whose wage is $25 per hour, who has 10 years of education, and who has one child. (Round to three decimal places)