Question:
(a)Obtain summary statistics and histograms for the variables WAGE and EDUC. Discuss the data
characteristics.
(b) Estimate the linear regression WAGE = ?1 + ?2EDUC + ? and interpret the slope.
(c) Calculate the residuals and plot them against EDUC. Are any patterns evident and, if so, what does this mean?
(d) Estimate the quadratic regression WAGE = ?1 + ?2EDUC2 + ? and interpret the results. Estimate
the marginal effect of another year of education on wage for a person with 12 years of education, and for a person with 14 years of education. Compare these values to the estimated marginal effect of education from the linear regression in part (b).
(e) Construct a histogram of ln(WAGE). Compare the shape of this histogram to that for WAGE from part (a). Which appears to be more symmetric and bell-shaped?
(f) Estimate the log-linear regression ln(WAGE) = ?1 + ?2EDUC + ? and interpret the slope. Estimate the marginal effect of another year of education on wage for a person with 12 years of education, and for a person with 14 years of education. Compare these values to the estimated marginal effects of education from the linear regression in part (b) and quadratic in part (d) .
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