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Interpret the slope of the line. For a 1 metric ton increase in US emissions, non-US emissions will, on average, increase by 22.8 metric tons. For a 1 metric ton increase in non-US emissions, US emissions will, on average, decrease by 0.96 metric tons. For a 1 metric ton increase in non-US emissions, US emissions will, on average, increase by 22.8 metric tons. For a 1 metric ton increase in US emissions, non-US emissions will, on average, decrease by 0.96 metric tons. We should not interpret the slope in this problem. Interpret the �-intercept of the line. On average, when �=0, non-US emissions are -0.96 metric tons. On average, when �=0, US emissions are -0.96 metric tons. On average, when �=0, US emissions are 22.8 metric tons. On average, when �=0, non-US emissions are 22.8 metric tons. We should not interpret the �-intercept in this problem. We should interpret the �-intercept, but none of the above are correct.

Interpret the slope of the line. For a 1 metric ton increase in US emissions, non-US emissions will, on average, increase by 22.8 metric tons. For a 1 metric ton increase in non-US emissions, US emissions will, on average, decrease by 0.96 metric tons. For a 1 metric ton increase in non-US emissions, US emissions will, on average, increase by 22.8 metric tons. For a 1 metric ton increase in US emissions, non-US emissions will, on average, decrease by 0.96 metric tons. We should not interpret the slope in this problem. Interpret the �-intercept of the line. On average, when �=0, non-US emissions are -0.96 metric tons. On average, when �=0, US emissions are -0.96 metric tons. On average, when �=0, US emissions are 22.8 metric tons. On average, when �=0, non-US emissions are 22.8 metric tons. We should not interpret the �-intercept in this problem. We should interpret the �-intercept, but none of the above are correct.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Interpret the slope of the line.

  • For a 1 metric ton increase in US emissions, non-US emissions will, on average, increase by 22.8 metric tons.
  • For a 1 metric ton increase in non-US emissions, US emissions will, on average, decrease by 0.96 metric tons.
  • For a 1 metric ton increase in non-US emissions, US emissions will, on average, increase by 22.8 metric tons.
  • For a 1 metric ton increase in US emissions, non-US emissions will, on average, decrease by 0.96 metric tons.
  • We should not interpret the slope in this problem.



Interpret the �-intercept of the line.

  • On average, when �=0, non-US emissions are -0.96 metric tons.
  • On average, when �=0, US emissions are -0.96 metric tons.
  • On average, when �=0, US emissions are 22.8 metric tons.
  • On average, when �=0, non-US emissions are 22.8 metric tons.
  • We should not interpret the �-intercept in this problem.
  • We should interpret the �-intercept, but none of the above are correct.
Carbon dioxide is produced by burning fossil fuels such as oil and natural gas, and been connected to global warming. The following output presents the average am (in metric tons) of carbon dioxide emissions for the years 1999-2006 per person in United States and per person in the rest of the world in an effort to determine if r US per person emissions can help predict US per person emissions. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Non-US 0.51622776 0.2664911 0.2175905 0.29668345 df 17 20.2 20 19.8 19.6 19.4 19.2 19 18.8 18.6 3.1 3.2 1.8 • .... 3.3 3.4 US 3.5 SS MS F Significance F 1 0.479683973 0.479684 5.44965 0.0338864 15 1.320316027 0.088021 16 3.6 3.7 3.8 3.9 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 22.8013544 1.416019771 16.10243 7.1E-11 19.78318 25.819529 19.7831797 25.8195291 -0.95936795 0.410961292 -2.33445 0.033886 -1.8353112 -0.0834247 -1.8353112 -0.08342469
Transcribed Image Text:Carbon dioxide is produced by burning fossil fuels such as oil and natural gas, and been connected to global warming. The following output presents the average am (in metric tons) of carbon dioxide emissions for the years 1999-2006 per person in United States and per person in the rest of the world in an effort to determine if r US per person emissions can help predict US per person emissions. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Non-US 0.51622776 0.2664911 0.2175905 0.29668345 df 17 20.2 20 19.8 19.6 19.4 19.2 19 18.8 18.6 3.1 3.2 1.8 • .... 3.3 3.4 US 3.5 SS MS F Significance F 1 0.479683973 0.479684 5.44965 0.0338864 15 1.320316027 0.088021 16 3.6 3.7 3.8 3.9 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 22.8013544 1.416019771 16.10243 7.1E-11 19.78318 25.819529 19.7831797 25.8195291 -0.95936795 0.410961292 -2.33445 0.033886 -1.8353112 -0.0834247 -1.8353112 -0.08342469
What is the formula needed to predict US emissions in metric tons if the non-US emissions is 3.4? Oŷ = 22.8(3.4) – 0.96 - Oŷ= 22.8 -0.96(3.4) Oy= 22.8(3.4) - 0.96 y = 22.8 -0.96(3.4) State the correlation value that best respresents the plot presented. O-0.516 O 0.266 O-0.266 O 0.516
Transcribed Image Text:What is the formula needed to predict US emissions in metric tons if the non-US emissions is 3.4? Oŷ = 22.8(3.4) – 0.96 - Oŷ= 22.8 -0.96(3.4) Oy= 22.8(3.4) - 0.96 y = 22.8 -0.96(3.4) State the correlation value that best respresents the plot presented. O-0.516 O 0.266 O-0.266 O 0.516
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