The American Board of Family Medicine would like to investigate the theory that a mother’s shoe size can be used to predict an infant’s birth weight. The following table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants and can also be found in the Excel file ABFM.xlsx.

Shoe Size Weight Shoe Size Weight 7.5 7.6 8.0 6.9 8.0 7.8 8.5 9.2 9.0 8.0 7.5 6.5 8.5 9.4 8.0 9.1 8.5 7.7 9.5 9.8

a. Calculate the sample covariance.

b. Calculate the sample correlation coefficient.

c. Describe the relationship between x and y.

AppendixLO1