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Imagine that you are in your agency and you are interested inunderstanding whether a clients ACE score, which is an assessmentgiven to all clients at

Imagine that you are in your agency and you are interested inunderstanding whether a client’s ACE score, which is an assessmentgiven to all clients at intake, can predict a client’s level ofdepression as indicated on the PHQ 9. Higher scores on the ACEindicate more child trauma, and high scores on the PHQ 9 indicatehigher levels of depression. You obtained the following data on arandom sample of 25 clients who were treated last summer.

ACE Score

PHQ 9

4

17

5

18

3

16

6

18

6

17

7

20

5

15

9

22

7

21

7

19

9

25

5

16

4

14

3

15

4

15

8

21

7

26

8

24

6

19

5

18

4

13

5

17

8

19

7

22

5

15

  • What are the independent and dependent variables?
  • Draw a scatterplot of these data.
  • What is the least squares regression line for these data?
  • What is the correlation coefficient, and how would youinterpret it?
  • Find the coefficient of determination and explain what it meanswith these data?
  • What is the predicted PHQ 9 for someone who scores a 2 on theACE?
  • What is the predicted score for case 1, and what is theresidual?

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