Question

15.) 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
33	24
25	20
28	25
18	23
12	17

(a) Compute the method of least squares to find the equation of the regression line. (Round your answers to three decimal places.)
=______  X + _______

(b) Use the regression equation to determine the predicted age of a victim of a nonviolent crime when the criminal is 23 years old. (Round your answer to three decimal places.)
______ years old

Answer 1

a) The given data is inputted in EXCEL, and then SCATTERPLOT function is used to obtain the scatterplot after which we use the TRENDLINE function to get the regression equation here.

Age of Criminals	Age of Victim
33	24
25	20
28	25
18	23
12	17

The plot obtained here is given as:

Therefore the regression equation here is given as:

This is the required equation here.

b) For a criminal age of 23 years, the age of the victim is predicted here as:

Therefore 21.742 years is the required predicted age here.