[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.

  1. The third variable, \(z\), is the amount of time spent together. \(r_{x z}=0.68\), and \(r_{y z}=0.55\).
  2. The third variable, \(z\), is the amount of time watching television. \(r_{x z}=0.25\), and \(r_{y z}=0.05\)
  3. 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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