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Variable Coefficients p-value Variable Definition Sample Mean Intercept 12.48 0.

ID: 1098021 • Letter: V

Question

Variable

Coefficients

p-value

Variable Definition

Sample Mean

Intercept

12.48

0.000

YEARS

0.012

0.023

# of years employed at UofA

16.4

AGE

0.011

0.355

Age of professor in years

56.6

AGESQ

-0.007

0.201

Age Squared

3,280

FEMALE

-0.041

0.132

=1 if Female

0.240

HISPANIC

-0.011

0.543

=1 if Hispanic

0.067

MEDICINE

0.426

0.000

=1 if in medical school

0.385

A cross-sectional sample of 104 UofA full professors was taken in 2011. A regression was run using the dependent variable, LSAL, the natural logarithm of the professors' salaries. The unconditional mean of salary is $153,959; the unconditional mean of log of salary is 11.87. The results of the regression are given below

Use the above information to answer the following questions

a.       How do you interpret the coefficient on MEDICINE? Explain using full sentences.

b.      Do female full professors earn lower salaries on average? Be sure to explain your reasoning.

c.       Show in detail how you would calculate the marginal effect of YEARS on salary?

d.      What does the sample mean of HISPANIC indicate? What are the units of measure of this variable? Explain.

e.       How would you improve this model?

Variable

Coefficients

p-value

Variable Definition

Sample Mean

Intercept

12.48

0.000

YEARS

0.012

0.023

# of years employed at UofA

16.4

AGE

0.011

0.355

Age of professor in years

56.6

AGESQ

-0.007

0.201

Age Squared

3,280

FEMALE

-0.041

0.132

=1 if Female

0.240

HISPANIC

-0.011

0.543

=1 if Hispanic

0.067

MEDICINE

0.426

0.000

=1 if in medical school

0.385

Explanation / Answer

a.How do you interpret the coefficient on MEDICINE?

0.426 coefficient on MEDICINE

b.      Do female full professors earn lower salaries on average? Be sure to explain your reasoning.

female full professors earn lower salaries on average 11.87

c.       Show in detail how you would calculate the marginal effect of YEARS on salary?

2011

d.      What does the sample mean of HISPANIC indicate? What are the units of measure of this variable? Explain.

1 if Hispanic