Question 6.72

37. A random sample of femur bone lengths (in millimeters) and heights (in centimeters) from six males appears in the table below (these data are from the Forensic Data Bank at the University of Tennessee):

284

Person Femur length (mm) Height (cm)
1 520 191
2 422 160
3 522 193
4 459 170
5 447 168
6 482 178

The equation of the least-squares regression line for predicting height from femur length is

  1. Calculate the residual error for Person 2. Based on this residual, does the data point for Person 2 lie above or below the regression line?
  2. Calculate the residual error for Person 4. Based on this residual, does the data point for Person 4 lie above or below the regression line?

37.

(a) Predicted . Since the residual is positive, Person 2’s data point lies above the regression line.

(b) Predicted . Since the residual is negative, Person 4’s data point lies below the regression line.