Economics 143 - Sample Final
The questions below refer to the computer output
accompanying the exam.
INSTRUCTIONS: [On the actual exam] Answer all questions in the
space provided (or indicate clearly where you have continued your answer on
the back of the page). Calculators are NOT permitted. Reduce all
computations to the simplest form so that anyone with a calculator could
attain the answer easily. Show your work and reasoning to the fullest
extent possible so that part marks can be assigned as warranted. You have
three hours to complete this exam. There are 24 questions worth 5 points.
Total points = 120. Budget your time carefully. Exhibit pages should not
be turned in with your exam. Remember: answer questions in a manner that
reflects the econometric reasoning you have learned in this course.
- "Regression analysis can be used to prove conclusively whether a policy
measure that produces an increase in the magnitude of an explanatory
variable will cause an increase (or a decrease) in the magnitude of the
dependent variable." True, False, Uncertain? Explain.
- Explain how "endogeneity bias" can distort the implications of a naive
regression intended to reveal the effect of participation in a job training
program on subsequent earnings.
- Explain what criteria you might use to choose between a linear
specification and a log-linear specification?
- Suppose you are looking at the output from a probit model to explain
whether or not a household purchases a new television in a particular month.
The researcher has used a television price index, income of the household,
average price of a general movie admission, average price of VCR's and
average price of rental videos as explanatory variables. How do you
interpret the estimated coefficient on income, and how do you test its
statistical significance?
- Distinguish between "static" and "dynamic" econometric models. In
considering a dynamic model that employs a "Koyck geometric lag" structure,
what tradeoff must the researcher make?
THE FOLLOWING QUESTIONS REFER TO EXHIBIT A:
Income as a function of age,
experience and gender
- How many women are in the sample? _______
What is the minimum years of experience in the sample? _______
What is the correlation between age and experience in the sample? ______
How can the variance in age be 80 when the maximum age in the sample is 49?
- According to Regressions A1 and
A2, age and experience each have
strongly significant positive effects on income. The results of Regression
A3 conflict with these results. Why?
- What does Regression A4 imply about
average male and female incomes in
this sample?
- What does Regression A5 imply about
the difference between average male
and female incomes? Does this coincide with the implications from
Regression A4? Why or why not? Compared
to Regression A3, what has
happened to the age effect on income? Why?
- Regression A6 introduces a number of
additional regressors into the
income model. Taking into consideration the results from Regression
A6
through A10,
- i.) does this model suffer from any of the following problems?
(explain how you made your diagnosis)
- ii.) if present, what are the consequences of this problem for
interpretation of the results of Regression A6?
a.) multicollinearity?
b.) heteroskedasticity?
c.) serially correlated errors?
- In Regression A6, does someone's age
(on average) affect their earnings?
If so, how?
- In Regression A6, does work experience
affect incomes? Is this a
reliable conclusion, based upon the characteristics of this data set?
- In regression A6, does gender
influence income? Explain.
- Regression A11 uses the variable
WTAGE as the weighting variable in a
weighted least squares regression. Explain why this weighting variable was
chosen.
- According to the weighted least squares regression in Regression
A11,
does additional experience have a statistically significant effect on income
if you are a male? If you are female? Explain.
- Regression A12 is a probit
regression, estimated by maximum likelihood.
Comment on this choice of specification. What can the model be used to
describe? What can the model be used to simulate?
THE FOLLOWING QUESTIONS REFER TO EXHIBIT B:
Household ownership of fish as pets. Quarterly data over a 25 year period between
1968:1 and 1992:3.
- Based upon the output from Regressions B1 and B2, which of the usual
maintained hypotheses for OLS regression appears to be violated most
seriously? Explain how you made your diagnosis. What are the implications
of this diagnosis for the interpretation of Regression B1?
- What is Regression B3 designed to
reveal, and what do the results of
Regression B3 imply for this application?
- How does the procedure invoked by the AUTO command differ from the
procedure invoked by the OLS command, and how do the results from Regression
B1 differ from those of Regression B4, and why?
- What is Regression B5 designed to
assess? Does the addition of lagged
values of the explanatory variables make a significant contribution to the
explanatory power of the model?
- In light of the STAT / pcor output prior to Regression B5, what might
account for the individually statistically significant coefficient on the
PRICE1 variable in Regression B5?
GENERAL QUESTIONS:
- In point form, list and very briefly describe five problems that can
plague the collection and use of household survey data for econometric
analysis. (Think about the discussion during the classroom survey this
quarter.)
- Suppose you are interested in formulating a regression model of the
daily demand for white-water rafting trips (TRIPS) to a particular river as
a function of the rate of flow of water down that river (RATE), the
temperature (TEMP), the rainfall (RAIN), whether it is a weekend (WKND), and
whether it is a "summer" day between the Fourth of July and Labor Day,
(SUMR). You know that rafting is unpleasant when the water flow is too high
(because the water is too deep for rapids to form) or when the water flow is
too low (because the water is too shallow to navigate easily). Write SHAZAM
code to estimate an appropriate model and also to solve for the RATE that
can be expected to result in the largest number of trips.
- What aspect of Economics 143 most needs improvement? Explain. (Try to
respond honestly; full points for any plausible suggestions.)
BONUS QUESTION:
"Leaving important variables out of a regression model will lead to
'omitted variables bias' in the coefficients on the included explanatory
variables." True, false, uncertain? Explain.
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