Often the percent of an animal species in the wild that survive to breed again is lower following a successful breeding season. This is part of nature‘s self- regulation, tending to keep population stable. A study of merlins (small falcons) in northern Sweden observed the number of breeding pairs in an isolated area and the percent of makes (banded for identification) who returned the next breeding season. Here are the data for nine year.

Question

Often the percent of an animal species in the wild that survive to breed again is lower following a successful breeding season. This is part of nature‘s self- regulation, tending to keep population stable. A study of merlins (small falcons) in northern Sweden observed the number of breeding pairs in an isolated area and the percent of makes (banded for identification) who returned the next breeding season. Here are the data for nine year.

Breeding pairs
28 29 29 29 30 32 33 38 38

Percent Returns
82 83 70 61 69 58 43 50 47

1.Is there a clear explanatory variable and response variable in this setting? If so, tell which is which, If not, explain why not.

2. How would you describe the form of the relationship?

3.do you expect the correlation to be positive or negative? Near + or not? Explain.

Answer 1

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Answer 2

1. In this setting, the explanatory variable is the number of breeding pairs of merlins in an isolated area, and the response variable is the percentage of male merlins that return for the next breeding season. The number of breeding pairs is the variable that is believed to have an effect on the percentage of males returning.

2. The form of the relationship between the number of breeding pairs and the percentage of male merlins returning is not provided in the question. Without additional information or a graphical representation of the data, it is difficult to describe the form of the relationship. To analyze the relationship visually, you can create a scatter plot with the number of breeding pairs on the x-axis and the percentage of male returns on the y-axis.

3. Based on the concept of self-regulation in animal populations, we can expect a negative correlation between the number of breeding pairs and the percentage of males returning. As the number of breeding pairs increases, there is likely to be more competition for resources, territories, and mates. This increased competition may result in a higher mortality rate or decreased survival rate, leading to a lower percentage of males returning. Additionally, the range of the percentage of male returns decreases over time (70 to 43), which suggests a decreasing trend and a potential negative correlation. However, without further analysis, it is not possible to determine if the correlation is near + or not.