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 4.88
leadzincfish
88. Transformation. What if, starting with the original data in the table, we added a certain unknown constant amount to each value for ?
- Without redrawing the scatterplot, describe how this change would affect the scatterplot you drew in Exercise 84(a).
- Without recalculating the correlation coefficient, state what you think the effect of this change would be on the correlation coefficient. Why do you think that?
- Compose a rule that states the behavior of the correlation coefficient when a constant is added to each data value.