Question: In the following data, there are three scores (X,Y and Z) for each of the n=5 individuals.

___________________

x y z_

3 5 5

4 3 2
2 4 6
1 1 3

0 2 4

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 of parts a and b, what would you predict for the correlation between XandZ?

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

for these data.

e. What general conclusion can you make concerning relationships among correlations? If X is

related to Y and Y is related to Z, does this necessarily mean that X is related to Z?