Lead and Zinc Concentrations in River Fish. Like to go fishing? In some areas, it may not be healthy to eat the fish you catch, due to the pollutants in the river that the fish ingest. Use the information in the table for Exercises 84–88. The table contains the lead and zinc concentrations in river fish from the Spokane River in Washington State, in parts per million.3
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| Fish | ||
|---|---|---|
| 1 | 0.73 | 45.3 |
| 2 | 1.14 | 50.8 |
| 3 | 0.60 | 40.2 |
| 4 | 1.59 | 64.0 |
| 5 | 4.34 | 150.0 |
| 6 | 1.98 | 106.0 |
| 7 | 3.12 | 90.8 |
| 8 | 1.80 | 58.8 |
| 9 | 0.65 | 35.4 |
| 10 | 0.56 | 28.4 |
Question 4.87
leadzincfish
87. Transformation. Add 5 to each value for .
- Redraw the scatterplot. Comment on the similarity or difference from the scatterplot in Exercise 84(a).
- Recalculate the correlation coefficient.
- Compare your answers from Exercises 85(a) and 87(b).
- Compose a rule that states the behavior of the correlation coefficient when a constant is added to each data value.
4.1.87
(a)
Everything is the same except the dots are shifted up 5 ppm. (b) (c) They are the same. (d) When a constant is added to each -data value the correlation coefficient stays the same.