Question

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 | 25 |

25 | 21 |

29 | 25 |

17 | 22 |

13 | 16 |

(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 20 years old.
(Round your answer to three decimal places.)

years old

Answer #1

The statistical software output for this problem is :

Simple linear regression results:

Dependent Variable: y

Independent Variable: x

y = 12.752907 + 0.38662791 x

Sample size: 5

R (correlation coefficient) = 0.86641734

R-sq = 0.750679

Estimate of error standard deviation: 2.1340721

Predicted values:

X value |
Pred. Y |
s.e.(Pred. y) |
95% C.I. for mean |
95% P.I. for new |
---|---|---|---|---|

20 | 20.485465 | 1.0498373 | (17.144414, 23.826516) | (12.916579, 28.054351) |

(a)

y = 0.387 x + 12.753

(b) predicted age = 20.485

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: 32, 25, 29, 18, 12
Age of Victim X Y 25, 20, 25, 22, 16
Compute the method of least squares to...

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
25
24
21
28
25
17
23
12
16
(a) Compute the method of least squares...

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
25
24
20
28
25
17
23
13
17
A) Compute the method of least squares...

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 17
(a) Compute the method of least squares...

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
25
24
21
28
26
17
22
12
17
(a) Compute the method of least squares...

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...

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