A developmental psychologist is interested in determining whether it is possible to use the heights of young boys to predict their eventual height at maturity. To answer this question, she collects...

A developmental psychologist is interested in determining whether it is possible to use the heights of young boys to predict their eventual height at maturity. To answer this question, she collects the data shown in the following table. Since we are interested in predictingHeight at Age 20fromHeight at Age 3, we have labeledHeight at Age 20as theYvariable andHeight at Age 3as theXvariable.

a. Draw a scatter plot of the data.

b. If the data are linearly related, derive the least-squares regression line.

c. Based on these data, what height would you predict for a 20-year-old if at 3 years his height were 42 inches?