3. (Continuation from Chapter 4, number 5) You have learned in one of your economics courses that one of the determinants of per capita income (the "Wealth of Nations") is the population growth rate. urthermore you also found out that the Penn World Tables contain income and population data for 104 ountries of the world. To test this theory, you regress the GDP per worker (relative to the United tates) in 1990 (RelPersInc) on the difference between the average population growth rate of that ountry (n) to the U.S. average population growth rate (nus ) for the years 1980 to 1990. This results in he following regression output:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
icon
Related questions
Question

the standard errors in parentheses below the coefficient estimate

3. (Continuation from Chapter 4, number 5) You have learned in one of your economics courses that one
of the determinants of per capita income (the "Wealth of Nations") is the population growth rate.
Furthermore you also found out that the Penn World Tables contain income and population data for 104
countries of the world. To test this theory, you regress the GDP per worker (relative to the United
States) in 1990 (RelPersInc) on the difference between the average population growth rate of that
country (n) to the U.S. average population growth rate (nus ) for the years 1980 to 1990. This results in
the following regression output:
RelPerslne = 0.518 – 18.831×(n – nus) , R2 = 0.522, SER = 0.197
(0.056)
(3.177)
a. Is there any reason to believe that the variance of the error terms is homoskedastic?
b. Is the relationship statistically significant?
Transcribed Image Text:3. (Continuation from Chapter 4, number 5) You have learned in one of your economics courses that one of the determinants of per capita income (the "Wealth of Nations") is the population growth rate. Furthermore you also found out that the Penn World Tables contain income and population data for 104 countries of the world. To test this theory, you regress the GDP per worker (relative to the United States) in 1990 (RelPersInc) on the difference between the average population growth rate of that country (n) to the U.S. average population growth rate (nus ) for the years 1980 to 1990. This results in the following regression output: RelPerslne = 0.518 – 18.831×(n – nus) , R2 = 0.522, SER = 0.197 (0.056) (3.177) a. Is there any reason to believe that the variance of the error terms is homoskedastic? b. Is the relationship statistically significant?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning