Question 4.153

55. Age and Height. Refer to your work from Exercise 40.

  1. Estimate the height of a 40-year-old person.
  2. Does the interpretation of the intercept from Exercise 40 make sense? Explain.
  3. Is it OK, or is it misleading to use the regression equation to predict the height of a 50-year-old person? Explain.
  4. What is the distinction between your result from part (a) and the height of the first person in the data set?
  5. Calculate and interpret the prediction error for your prediction in part (a).

4.2.55

(a) (b) No. A newborn baby will not be 67.58 inches tall. (c) It is misleading to use the regression equation to predict the height of a 50-year-old person. An age of years old is outside the range of the given -values which is from 19 to 40 years old. (d) The height in (a) is the predicted height of a 40-year-old while the first height in the table is the actual height of a 40-year-old. (e) 0.32 inch. The actual height of the 40-year-old of  63.5 inches is greater than the predicted height of .