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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