Suppose the EPA would like to investigate the relationship between the engine size of sedans and the miles per gallon

(MPG) they get. The following table shows the engine size in cubic liters and rated miles per gallon for a selection of 2011 sedans and can also be found in the Excel file engine size.xlsx.

Car Engine Size MPG 1 2.0 26 2 2.2 30 3 2.4 25 4 3.3 21 5 3.0 23 6 2.0 28 7 2.4 24 8 2.0 29 9 3.2 19

a. Calculate the sample covariance.

b. Calculate the sample correlation coefficient.

c. Describe the relationship between x and y.AppendixLO1