Mathematics, 04.11.2021 22:00 nakeytrag
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.
multiple choice 1
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.
multiple choice 2
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.)
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.)
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Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age +...
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