An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. The data are shown in the table below. a. Find the equation of the regression line. b. Estimate the amount of carbon dioxide emissions of a country with a GDP of 2.5 trillion dollars. c. Compute and interpret the correlation coefficient. Hint: Your conclusion is either of the following. • There is a significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. • There is no significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. GDP (trillion dollars) Carbon Dioxide Emissions (millions of metric tons) 1.6 3.6 4.9 1.1 0.9 2.9 2.7 2.3 1.6 1.5 428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5
An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. The data are shown in the table below. a. Find the equation of the regression line. b. Estimate the amount of carbon dioxide emissions of a country with a GDP of 2.5 trillion dollars. c. Compute and interpret the correlation coefficient. Hint: Your conclusion is either of the following. • There is a significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. • There is no significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. GDP (trillion dollars) Carbon Dioxide Emissions (millions of metric tons) 1.6 3.6 4.9 1.1 0.9 2.9 2.7 2.3 1.6 1.5 428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![An economist wants to determine whether there is a linear relationship
between a country's gross domestic product (GDP) and carbon dioxide
emissions. The data are shown in the table below.
a. Find the equation of the regression line.
b. Estimate the amount of carbon dioxide emissions of a country with a GDP of 2.5 trillion dollars.
c. Compute and interpret the correlation coefficient.
Hint: Your conclusion is either of the following.
• There is a significant linear relationship between a country's gross domestic product (GDP) and
carbon dioxide emissions.
• There is no significant linear relationship between a country's gross domestic product (GDP)
and carbon dioxide emissions.
GDP
1.6 3.6
4.9
1.1
0.9 2.9 2.7
2.3
1.6
1.5
(trillion dollars)
Carbon Dioxide
Emissions
428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5
(millions of
metric tons)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F758e2823-031e-4266-8017-a4644d8841bc%2Fb6a8d968-938b-4e07-ba3e-74c70b4f70bd%2F7cr9zlj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An economist wants to determine whether there is a linear relationship
between a country's gross domestic product (GDP) and carbon dioxide
emissions. The data are shown in the table below.
a. Find the equation of the regression line.
b. Estimate the amount of carbon dioxide emissions of a country with a GDP of 2.5 trillion dollars.
c. Compute and interpret the correlation coefficient.
Hint: Your conclusion is either of the following.
• There is a significant linear relationship between a country's gross domestic product (GDP) and
carbon dioxide emissions.
• There is no significant linear relationship between a country's gross domestic product (GDP)
and carbon dioxide emissions.
GDP
1.6 3.6
4.9
1.1
0.9 2.9 2.7
2.3
1.6
1.5
(trillion dollars)
Carbon Dioxide
Emissions
428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5
(millions of
metric tons)
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