Correlation studies are often used to help determine whether certain characteristics are controlled


Question: In the following data there are three scores (x, y, z) for each of the n = 5 individuals.

(a) Sketch a graph showing the relationship between X and Y. Compute the Pearson correlation between X and Y.

(b) Sketch a graph showing the relationship between Y and Z. Compute the Pearson correlation between Y and Z.

(c) Given the results from (a) and (b) what would you predict for the correlation between X and Z

(d) Sketch a graph showing the relationship between X and Z. Compute the Pearson correlation between X and Z.

(e) What general statement can you make concerning relationship among correlations? If X is related to Y and Y is related to Z, does this necessarily mean that X is related to Z.

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