Chapter 15, Problem 17P

17. A researcher measures three variables, X, V, and Z for each individual in a sample of $n=\text{ 2}0$ . The Pearson correlations for this sample are $r_{XY}=0.6$ , $r_{XZ}=0.4$ , and $r_{YZ}=0.7$ .

a. Find the partial correlation between X and Y, holding Z constant.

b. Find the partial correlation between X and Z, holding Y constant. (Hint: Simply switch the labels for the variables Y and Z to correspond with the labels in the equation.)