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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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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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)
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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