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 in pounds. The following table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. These data can also be found in the Excel file ABFM.xlsx.

Shoe Size Weight Shoe Size Weight 7.5 7.2 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 9.0 9.8

a. Construct a scatter plot for these data.

b. Calculate the slope and the y-intercept for the regression equation.

c. Provide an interpretation for the value of the slope.

d. Predict the infant weight for a mother with an 8.5 shoe size.

e. Calculate the SST.

f. Partition the SST into the SSR and the SSE.

AppendixLO1