Sarah’s parents are concerned that she seems short for her age. Their doctor has the following record of Sarah’s height:

Age (months): 36 48 51 54 57 60 Height (cm): 86 90 91 93 94 95

(a) Make a scatterplot of these data.

(b) Using your calculator, find the equation of the leastsquares regression line of height on age.

(c) Use your regression line to predict Sarah’s height at age 40 years (480 months). Convert your prediction to inches (2.54 cm = 1 inch).

(d) The prediction is impossibly large. Explain why this happened.