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[See Solution] 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

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

Sketch a graph showing the relationship between X and Y. Compute the Pearson correlation
between X and Y.
Sketch a graph showing the relationship between Y and Z. Compute the Pearson correlation
between Y and Z.
Given the results of parts a and b, what would you predict for the correlation between XandZ?
Sketch a graph showing the relationship between X and Z. Compute the Pearson correlation
for these data.
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?

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[See Solution] 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

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