Question
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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