A forensic psychologist tests the extent to which the age of a criminal (X) predicts the age of the victim (Y) for nonviolent crimes. The psychologist uses the case files to record the age of five criminals and the age of the victim in those cases. The hypothetical data are listed in the following table.
Age of Criminal __________________________ Age of Victim
______X_____________________________________Y_____
32 .......................................................24
24 .......................................................20
28 .......................................................25
17 .......................................................22
12 .......................................................16
(a) Compute the method of least squares to find the equation of the regression line.
(b) Use the regression equation to determine the predicted age of a victim of a nonviolent crime when the criminal is 20 years old.