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. c. Compute and interpret the correlation coefficient. d. Compute and interpret the coefficient of determination. e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your conclusion. 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)
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. c. Compute and interpret the correlation coefficient. d. Compute and interpret the coefficient of determination. e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your conclusion. 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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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.
c. Compute and interpret the correlation coefficient.
d. Compute and interpret the coefficient of determination.
e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your
conclusion.
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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