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7 Questions Final Exam - Econometrics - Fall 2000 | ECON 210, Exams of Introduction to Econometrics

Material Type: Exam; Class: Econometrics; Subject: Economics; University: Vassar College; Term: Fall 2000;

Typology: Exams

Pre 2010

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Vassar College
Economics 210
Econometrics
Final Exam Name___________________________
Fall 2000 December 15, 2000
Answer all questions in bluebooks. Remember to put your name on the bluebook(s). Turn in the exam sheet with
your bluebook. Show your work .
1. Given the following model:
Where are current endogenous variables and are exogenous.
a) Which, if any of the coefficients are biased if OLS is used. Indicate the direction of bias.
b) Indicate whether each of these equations are unidentified, exactly identified or over-identified.
c) Indicate which of OLS, ILS, and 2SLS are appropriate to estimate each equation.
2. Given the following model
a) Which, if any of the coefficients are biased if OLS is used. Indicate the direction of bias.
b) Indicate whether each of these equations are unidentified, exactly identified or over-identified.
c) Indicate which of OLS, ILS, and 2SLS are appropriate to estimate each equation.
3. The following is a wage price model.
Estimates of the reduced form are
Find an estimate for . Can you find estimates for any other of the structural coefficients.
Why or why not.
4. The log of the likelihood function for a Reyleigh Distribution is given by the followin g:
a) Find a maximum likelihood estimator for given
b) Use a likelihood ratio test to test
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Download 7 Questions Final Exam - Econometrics - Fall 2000 | ECON 210 and more Exams Introduction to Econometrics in PDF only on Docsity!

Vassar College Economics 210 Econometrics Final Exam Name___________________________ Fall 2000 December 15, 2000

Answer all q uestions in blue books. R ememb er to put your name on th e bluebo ok(s). Tur n in the exam s heet with your blueb ook. Show your work.

1. Given the following model:

Where are current endogenous variables and are exogenous.

a) Which, if any of the coefficients are biased if OLS is used. Indicate the direction of bias.

b) Indicate whether each of these equations are unidentified, exactly identified or over-identified.

c) Indicate which of OLS, ILS, and 2SLS are appropriate to estimate each equation.

2. Given the following model

a) Which, if any of the coefficients are biased if OLS is used. Indicate the direction of bias.

b) Indicate whether each of these equations are unidentified, exactly identified or over-identified.

c) Indicate which of OLS, ILS, and 2SLS are appropriate to estimate each equation.

3. The following is a wage price model.

Estimates of the reduced form are

Find an estimate for. Can you find estimates for any other of the structural coefficients.

Why or why not.

4. The log of the likelihood function for a Reyleigh Distribution is given by the following:

a) Find a maximum likelihood estimator for given

b) Use a likelihood ratio test to test

5. A study was done on the effectiveness of a new teaching method. 32 students were given the

same test twice test Some of the students where exposed to the new teaching method between the

first and the second tests. The variables are grade = 1 if the student’s score was better on the

second test, psi = 1 if the student was exposed to the new teaching method, gpa = the student’s

overall gpa, and tuce = the students score on a standardized test of knowledge of the subject

matter prior to taking either test. The following is the output from a probit estimation.

probit grade gpa tuce psi Probit estimates Number of obs = 32 LR chi2(3) = 15. Prob > chi2 = 0. Log likelihood = -12.818803 Pseudo R2 = 0.


grade | Coef. Std. Err. z P>|z| [95% Conf. Interval] ---------+-------------------------------------------------------------------- gpa | 1.62581 .6938818 2.343 0.019 .2658269 2. tuce | .0517289 .0838901 0.617 0.537 -.1126927. psi | 1.426332 .595037 2.397 0.017 .2600814 2. _cons | -7.45232 2.542467 -2.931 0.003 -12.43546 -2.


a) What is the estimated probability that a person with a gpa point of 3.0 and a tuce score of 20 and

psi =0 improved on the test.

b) What is the marginal effect of an increase in gpa assuming gpa =3.0 and tuce=20 and psi=0.

c) Based on this evidence would you conclude that the new teaching method was effective.

6. The following is output from a from an estimate of a Phillips curve. The variables are pce = the

pce inflation rate (not the corepce), capu = the Fed’s index of capacity utilization, oilppi=the

inflation rate of wholesale oil prices, doilppi = the product of oilppi and a dummy variable which

is equal to 1 after 1980.

reg pce oilppi capu doilppi

Number of obs = 133 R-squared = 0.


pce | Coef. Std. Err. t P>|t| [95% Conf. Interval] ---------+-------------------------------------------------------------------- oilppi | .0539029 .0074405 7.245 0.000 .0391817. capu | .0469706 .0567521 0.828 0.409 -.0653148. doilppi | -.0504086 .0078959 -6.384 0.000 -.0660307 -. _cons | .2847119 4.650052 0.061 0.951 -8.915529 9.


. ovtest Ramsey RESET test using powers of the fitted values of pce Ho: no omitted variables F(3, 126) = 20.12 Prob > F = 0. . hettest Cook-Weisberg test for heteroscedasticity using fitted values of pce Ho: Constant variance chi2(1) = 39.63 Prob > chi2 = 0. . dwstat Durbin-Watson d-statistic( 4, 133) =. . test oilppi+doilppi=0 F( 1, 129) = 1.33 Prob > F = 0. . test oilppi doilppi F( 2, 129) = 26.56 Prob > F = 0. di jb =10.218924 display chiprob(2 ,jb )=.

a) Do the signs make sense base upon what you know of macro economics. b) Does Autocorrelation seem to be present. c) Based on this regression would you conclude that oilppi contributed to inflation before 1980 but not after. d) Would you conclude that this equation is well specified. Give evidence