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Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge
Edition 6ISBN: 130527010XIntroductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge
Edition 6ISBN: 130527010XUse the data in FERTIL1.RAW for this exercise.
(i) In the equation estimated in Example 13.1, test whether living environment at age 16 has an effect on fertility. (The base group is large city.) Report the value of the F statistic and the p-value.
(ii) Test whether region of the country at age 16 (South is the base group) has an effect on fertility.
(iii) Let u be the error term in the population equation. Suppose you think that the variance of u changes over time (but not with educ, age, and so on). A model that captures this is
Using this model, test for heteroskedasticity in u. (Hint: Your F test should have 6 and 1,122 degrees of freedom.)
(iv) Add the interaction terms y74-educ, y76-educ, y84-educ to the model estimated in Table. Explain what these terms represent. Are they jointly significant?
Table
Verified
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(i)
Estimate the OLS multiple regression equation by pooling independent cross-sections across time:
The result is:
In order to test whether the living environment at age 16 has an effect on fertility assuming the large city as the base group, it would be appropriate to test for the joint significance of the coefficients of 
using the Wald test
There is no joint significance of the coefficients of 
There is joint significance of the coefficients of 
The result of Wald test is:
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