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


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 x and z?

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.

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See Answer: The answer consists of 3 pages
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