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A Beginner's Guide to Structural Equation Modeling

Randall E. Schumacker, Richard G. Lomax

Chapter 3

Correlation - all with Video Answers

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Chapter Questions

Problem 1

Given the Pearson correlation coefficients $r_{12}=.6, r_{13}=.7$, and $r_{23}=4$, compute the part and partial correlations $r_{12.3}$ and $r_{1(2.3)}$.

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Problem 2

Compare the variance explained in the bivariate, partial, and part correlations of Exercise 1.

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01:57

Problem 3

Explain causation and describe when a cause-and-effect relationship might exist.

Kaylee Mcclellan
Kaylee Mcclellan
Numerade Educator
02:49

Problem 4

Given the following variance-covariance matrix, compute the Pearson correlation coefficients: $r_{X Y}, r_{X Z}$ and $r_{Y Z}$ :
$$
\begin{array}{rrrr}
\hline & \boldsymbol{X} & \boldsymbol{Y} & \boldsymbol{Z} \\
\hline X & 15.80 & & \\
Y & 10.16 & 11.02 & \\
Z & 12.43 & 9.23 & 15.37 \\
\hline
\end{array}
$$

Jameson Kuper
Jameson Kuper
Numerade Educator