Using data from 50 workers, a researcher estimates Wage =
β0 + β1Education +
β2Experience + β3Age +
ε, where Wage is the hourly wage rate and Education,
Experience, and Age are the years of higher education, the years of
experience, and the age of the worker, respectively. The regression
results are shown in the following table.
Coefficients |
Standard Error |
t Stat | p-Value | |
Intercept | 8.36 | 4.05 | 2.06 | 0.0447 |
Education | 1.96 | 0.35 | 5.60 | 0.0000 |
Experience | 0.43 | 0.17 | 2.53 | 0.0149 |
Age | −0.02 | 0.09 | −0.22 | 0.8251 |
a-1. Interpret the point estimate for
β1.
As Education increases by 1 year, Wage is predicted to increase by 1.96/hour.
As Education increases by 1 year, Wage is predicted to increase by 0.43/hour.
As Education increases by 1 year, Wage is predicted to increase by 1.96/hour, holding Age and Experience constant.
As Education increases by 1 year, Wage is predicted to increase by 0.43/hour, holding Age and Experience constant.
a-2. Interpret the point estimate for β2.
As Experience increases by 1 year, Wage is predicted to increase by 1.96/hour.
As Experience increases by 1 year, Wage is predicted to increase by 0.43/hour.
As Experience increases by 1 year, Wage is predicted to increase by 1.96/hour, holding Age and Education constant.
As Experience increases by 1 year, Wage is predicted to increase by 0.43/hour, holding Age and Education constant.
b. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
y= ___________ +__________ Education + __________ Experience + _____________ Age
c. Predict the hourly wage rate for a 36-year-old
worker with 3 years of higher education and 4 years of experience.
(Do not round intermediate calculations. Round your answer
to 2 decimal places.)
y= _______
a-1) a point estimate for β1 is = 1.96
Interpretation :
As Education increases by 1 year, Wage is predicted to increase by 1.96/hour, holding Age and Experience constant.
a-2) a point estimate for β2 is = 0.43
Interpretation :
As Experience increases by 1 year, Wage is predicted to increase by 0.43/hour, holding Age and Education constant.
b) The sample regression equation is
c) The predicted hourly wage rate for a 36-year-old worker with 3 years of higher education and 4 years of experience is
= 8.36 + (1.96*3) + (0.43*4) - (0.02*36)
= 15.24
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