In Example 4, you used 10 pairs of data to find \(r \approx 0.874\). Test the significance of this correlation coefficient. Use \(\alpha=0.05\).

Data from Example 4

Calculate the correlation coefficient for the gross domestic products and carbon dioxide emissions data in Example 1. Interpret the result in the context of the data.

Data from Example 1

An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) emissions. The data are shown in the table at the left. Display the data in a scatter plot and describe the type of correlation.

Transcribed Image Text:

GDP (in trillions of dollars), x 1.8 CO2 emissions (in millions of metric tons), y 604.4 1.3 434.2 2.4 544.0 1.5 370.4 3.9 742.3 2.1 340.5 0.9 232.0 1.4 262.3 3.0 441.9 4.6 1157.7