We used a multiple linear regression model with data from the American Community

Question

We used a multiple linear regression model with data from the American Community Survey to determine if income is associated with sex, after adjusting for age. Income is measured in thousands of dollars, and sex is coded as 0=females, 1=males.

Coefficients

Standard Error

t Stat

P-value

Intercept

24.97153

4.15213

6.014

2.72E-9

Age

-0.18510

0.07773

-2.381

0.0175

Sex

13.52860

2.95738

4.575

5.51E-6

See the output on the attached word document for more information.

What is the interpretation of the coefficient associated with sex (multiple choice below)?

e.

Coefficients

Standard Error

t Stat

P-value

Intercept

24.97153

4.15213

6.014

2.72E-9

Age

-0.18510

0.07773

-2.381

0.0175

Sex

13.52860

2.95738

4.575

5.51E-6

Explanation / Answer

Controlling for age, males earn 13.53 thousands of dollars more than females on average because male is 1 when female is 0. thus answer is E

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