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.
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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.

Please give me a thumbs-up if this helps you out. Thank you!

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