A researcher interviews 50 employees of a large manufacturer and collects data on each worker's hourly w age (Wage), years of higher education (EDUC), experience (EXPER), and age (AGE). A portion of the data is shown below; the entire data set can be found on the text website; labeled Hourly Wage.
a. Estimate: Wage = β0 + β1 EDUC + β2EXPER + β3AGE + ε.
b. The researcher wonders if the influence of experience is different from that of age, or if β2 ≠ β3. Specify the competing hypotheses for this test.
c. What is the restricted model given that the null hypothesis is true? Estimate this model.
d. At the 5% significance level, can you conclude that the influence of experience is different from that of age?