MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:(d) An ecologist uses this regression line to predict how many birds will join another colony when 95 percent of the adults from the previous year return. What is the prediction? Comment on the appropriateness of using the line in (b) for this prediction.
(e) Calculate the correlation coefficient between X and Y. (Show details of your work.)
Transcribed Image Text:**Understanding Sparrowhawk Colony Dynamics**
One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 10 colonies of sparrowhawks:
| Percent return, X | 74 | 66 | 81 | 52 | 73 | 62 | 52 | 45 | 62 | 46 |
|-------------------|----|----|----|----|----|----|----|----|----|----|
| New adults, Y | 5 | 6 | 8 | 11 | 12 | 15 | 16 | 17 | 18 | 18 |
**Explanation and Analysis:**
This table presents two sets of data:
1. **Percent return, X:** This row indicates the percentage of adult birds that returned to the colony from the previous year. The values range from 45% to 81% across the ten colonies.
2. **New adults, Y:** This row shows the number of new adult birds that joined the colony. The values range from 5 to 18 new adults.
The data suggest a potential relationship between the percentage of returning adults and the number of new adults that join the colony. As the percentage of returning adults decreases, the number of new adults seems to increase, hinting at a compensatory mechanism in sparrowhawk colonies. Further analysis could involve plotting these data points to explore the nature of this relationship visually, such as through a scatter plot, to determine if there is a correlation or other underlying pattern.
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