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73-261 Econometrics
Fall 2010
Homework 7: Endogeneity
Due Wednesday October 27, in class
SOLUTION: 20 points
1. (5 points) You have data on worker training and productivity, and are trying to prove that training
increases productivity.
1.a (1 points) Whic
73-261 Econometrics
Fall 2010
Homework 6: Assumptions
Due Wednesday October 20, in class
Solution: 20 points
1. (10 points) In this task, you will checking the OLS assumptions 4-6.
Use the WAGE1 dataset, and regress wage on constant, educ and exper.
1.a .
73-261 Econometrics
Fall 2010
Homework 5: Applications
Due Wednesday October 13, in class
Please report only what you were asked for, do not submit raw GRETL output. Presenting the
results of statistical analysis is one of the skills that we want you to l
73-261 Econometrics
Fall 2010
Homework 5: Applications
SOLUTION - 20 points
1.(5 points) Consider the following function:
y(x) = 0 + 1 log x
1.a Derive approximate and exact change in y (y) resulting from x decreasing (not increasing) by
x. Your answers s
73-261 Econometrics
Fall 2010
Homework 4: Multiple hypotheses and prediction
SOLUTION: 20 points
1 (10 points) Let's revisit question 3.c from Homework 2. Recall that it asked you to add several
different groups of variables to regression of hrwage on edu
73-261 Econometrics
Fall 2010
Homework 3: Inference - I
SOLUTION: 20 points
1. (12 points) You have estimated the Cobb-Douglass production function:
Y = AK 1 L 2 ,
by running on OLS estimate on the equivalent representation:
lnY = 0 + 1 lnK + 2 lnL
where
73-261 Econometrics
Fall 2010
Homework 2: Multivariate regression
Due September 15, in class
If you are submitting electronically, please submit an MS-Word or a PDF file. Please report only
what you were asked for, DO NOT submit or copy-paste the entire r
73-261 Econometrics
Fall 2010
Homework 2: Multivariate regression
SOLUTION - 20 points
1. [6 points] Use same WAGE2 dataset as in HW#1. Compute hourly wage as hrwage =
wage/hours, regress it on educ, exper, IQ, married, urban, south, age, black.
1.a (2 po
73-261 Econometrics
Fall 2010
HOMEWORK 1: Simple two-variable regression
Due Wednesday, September 8
Homework is now COMPLETE: Question 3&4 can be found on p.2.
If you are submitting electronically, please submit an MS-Word, MS-Excel or a PDF file. If you
73-261 Econometrics
Fall 2010
Homework 8: Heteroskedasticity
Due Tuesday November 2, by 5pm
You can submit the homework via Blackboard, or bring it to professor's office (336)
Please report only what you were asked for, do not submit raw GRETL output. Pre
73-261 Econometrics
Fall 2010
Homework 9: Systems of equations
SOLUTION: 20 points
1. (4 points) Do exercise 16.4 in Wooldridge (p.568 in the 4th edition, p. 575 in the 3d).
In answering the last part ("How would you estimate "), imagine you can only run
1. Which of the following statements is true?
o The center of a confidence interval is a population parameter
o The center of a confidence interval is a sample statistic
o The bigger the margin of error, the smaller the confidence interval
o The confidenc
1.[1pt.]Ifz0, , zNarei.i.d.Std.Normals,then
N
zi2 is:
i 1
A.
C.
B.
D.
2.[1pt.]VectoroftruecoefficientsisdistributedasMultivariateNormal:
TRUE/FALSE
3.[2pt.]Intesting s.e.(
= 0,youfind
)=1.5.Doesyourdatasupport -
3.1,
2.8.,s.e.( )=1.4,
= 0?
A)YES B)NO C)c
73-261 Econometrics
Fall 2010
Homework 11: Panel data and Binary choice
Solution 20 points
1. (8 points) You will need the EZUNEM dataset. Background information is in Example 13.8
(Section 13.5)
1.a (5 points) Exercise C14.4 in Wooldridge, parts (i) and
73-261 Econometrics
Fall 2010
Homework 10: Time Series
SOLUTION
1. (4 points) Do Exercise C10.2 in Wooldridge (p.373 in the 4th edition). BARIUM dataset is
enclosed.
const
LCHEMPI
LGAS
LRTWEX
BEFILE6
AFFILE6
AFDEC6
T
(10.22)
-17.80
(21.05)
3.12
(.48)
.196
Multicollinearity
73-261 Econometrics
October 13
Reading: Wooldridge 3.4, Gujarati 10
Overview
Topic 2: Assumptions and violations
a.k.a. Problems and Fixes
Problem: Multicollinearity
A3 is not violated, but we are close to it
Xs are closely related
Regre
Assumptions and properties
73-261 Econometrics
October 11
Reading: Wooldridge 3.3-3.5, 5
Overview
Done with topic 1 Mechanics of OLS
Estimate, test, predict
Reducing lots of numbers (data)
to a few ones (coefficients, p-values)
Topic 2: Assumptions and vi
Dummy variables & more
73-261 Econometrics October 6 Reading: Wooldridge 7.1-7.4
Overview: using OLS
Finishing nonlinear terms:
Transformed y and goodness-of-fit Quadratic & other power terms Interaction terms
Today: Qualitative data (dummy variables)
Nonlinear models
73-261 Econometrics October 4 Wooldridge 6.2
Updated Oct-04. changes highlighted with blue font
Announcements
Midterm scores are low for everybody
Exams will not be distributed Solution is posted You can your exam during office hours
E
Review + testing inequalities
73-261 Econometrics Wooldridge 4.1-4.2 September 27
Announcements
HW 4 is due tomorrow at 5pm
Blackboard (no spaces or !@#$% in filename) Professors office (slip under the door)
Midterm 1 on Wednesday
Closed book & notes,
Inference IV: Prediction
73-261 Econometrics September 22 Wooldridge 6.4
Announcements
Homework #3 due now Homework #4 due next Tuesday @5pm
Blackboards Digital Dropbox Paper version at professors office
TA office hours:
Monday & Thursday 5-6pm #308 (
Inference III: F-test (multiple hypothesis)
73-261 Econometrics September 20 Wooldridge 4.5
Announcements
HW#3 due this Wednesday
Pay attention to formatting
HW#4 will be posted by then
Due next Tuesday
Next week:
Monday = review Wednesday = Midterm
Inference II: Single-equation hypothesis
73-261 Econometrics September 15 Readings: Wooldridge 4.2, 4.4
pp. 4, 7, 8, 12 updated with info on testing inequalities Updates are highlighted with blue font and/or boxes See lecture note from Sep-27 for more det