(Steps Shown) 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
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 x and z?
- 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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