[Solution] A study on father-son relationships examined relationship quality (y), and the number of interactions in a week (x) . The correlation between the
Question: A study on father-son relationships examined relationship quality \((y)\), and the number of interactions in a week \((x) .\) The correlation between the two was estimated to be \(r_{x y}=0.41\) Compute and report the partial correlation \(r_{2 y . z}\) for the following scenarios and briefly (one or two sentences) describe how \(z\) affects the relationship between relationship quality, and the number of interactions.
- The third variable, \(z\), is the amount of time spent together. \(r_{x z}=0.68\), and \(r_{y z}=0.55\).
- The third variable, \(z\), is the amount of time watching television. \(r_{x z}=0.25\), and \(r_{y z}=0.05\)
- The third variable, \(z\), is the age of the son. \(r_{x z}=-0.45\), and \(r_{y z}=0.35\)
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