Life expectancy 2000 a) Suppose you have country-level data for 100 countries, and you want to estimate the effect of real GDP pder capita (GDP) on life expectancy (LIFE). You suspect that there is a structural change in the relationship between GDP and LIFE which occurs when GDP per capita is $5,000 (think rich vs poor countries). How would you test for this structural break using 1) dummy variables and 2) the Chow test? Write down the regression equations (including other control variables), the null and alternative hypotheses, test statistics, degrees of freedom and any other details you think are important. Would the Chow test and dummy variables approach give you the same answers? Discuss. b) You plot the data with LIFE on the y-axis and GDP on the x-axis: d 1000- -1000- 2600 Breakpoint 5000 GDP per capita Does the scatter plot indicate anything which could be problematic for your regression results? How would you (formally) test this problem? How would you fix it?

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter19: The Macroeconomic Perspective
Section: Chapter Questions
Problem 25CTQ: Cross country comparisons of GDP per capita typically use purchasing power parity equivalent...
icon
Related questions
Question
Life expectancy
2000
1000
1000
a) Suppose you have country-level data for 100 countries, and you want to estimate
the effect of real GDP pder capita (GDP) on life expectancy (LIFE). You suspect
that there is a structural change in the relationship between GDP and LIFE which
occurs when GDP per capita is $5,000 (think rich vs poor countries). How would
you test for this structural break using 1) dummy variables and 2) the Chow test?
Write down the regression equations (including other control variables), the null
and alternative hypotheses, test statistics, degrees of freedom and any other
details you think are important. Would the Chow test and dummy variables
approach give you the same answers? Discuss.
b) You plot the data with LIFE on the y-axis and GDP on the x-axis:
2500
Breakpoint
5000
GDP per capita
7500
Does the scatter plot indicate anything which could be problematic for your regression
results? How would you (formally) test this problem? How would you fix it?
Transcribed Image Text:Life expectancy 2000 1000 1000 a) Suppose you have country-level data for 100 countries, and you want to estimate the effect of real GDP pder capita (GDP) on life expectancy (LIFE). You suspect that there is a structural change in the relationship between GDP and LIFE which occurs when GDP per capita is $5,000 (think rich vs poor countries). How would you test for this structural break using 1) dummy variables and 2) the Chow test? Write down the regression equations (including other control variables), the null and alternative hypotheses, test statistics, degrees of freedom and any other details you think are important. Would the Chow test and dummy variables approach give you the same answers? Discuss. b) You plot the data with LIFE on the y-axis and GDP on the x-axis: 2500 Breakpoint 5000 GDP per capita 7500 Does the scatter plot indicate anything which could be problematic for your regression results? How would you (formally) test this problem? How would you fix it?
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Knowledge Booster
Managing Risk
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
Brief Principles of Macroeconomics (MindTap Cours…
Brief Principles of Macroeconomics (MindTap Cours…
Economics
ISBN:
9781337091985
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
ECON MACRO
ECON MACRO
Economics
ISBN:
9781337000529
Author:
William A. McEachern
Publisher:
Cengage Learning