Question

SCENARIO

You are a Marriage and Family Therapist. In your practice, you’ve noticed that children seem to be dramatically influenced by their parent’s marital relationship. You think that changes in marital relationship can be predictive of a child’s overall life satisfaction. In order to test this, you collect data from both children and their parents (n=20). You give the children in your study the Child Psychological Wellbeing Inventory (CPWI) and their parents the Marital Satisfaction Survey (MSS). Using the data below, answer the following questions.

DATA

CPWI	MSS
120	125
109	101
133	132
124	123
114	110
111	115
119	117
129	131
129	127
125	122
127	125
129	125
130	130
115	114
114	115
121	125
127	121
122	124
117	118
131	129

1. What is the research question?
2. Calculate the expected CPWI for MSS scores of 102 and 128.
3. Given that this is a bivariate analysis, what is the correlation coefficient (r)?
4. Report and interpret the 95% confidence interval for the correlation.

Answer 1

What is the research question?

Is there a relationship between children who seem to be dramatically influenced by their parent’s marital relationship?

Calculate the expected CPWI for MSS scores of 102 and 128.

MSS	Predicted
102	106.043
128	127.775

Given that this is a bivariate analysis, what is the correlation coefficient (r)?

r

0.903

Report and interpret the 95% confidence interval for the correlation.

confidence interval
95% lower	95% upper
0.6384	1.0333

The 95% confidence interval for the correlation is between 0.6384 and 1.0333. There is a 95% chance that the true slope of the regression line lies within this interval.

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