Question

(4.28) 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 13 colonies of sparrowhawks:

Percent Return: 74 66 81 52 73 62 52 45 62 46 60 46 38

New Adults: 5 6 8 11 12 15 16 17 18 18 19 20 20

Step 1:
Plot the count of new adults (response) against the percent of returning birds (explanatory).
Describe the direction and form of the relationship.
Which of the following correctly describes the direction and form of the relationship?

The data exhibit a curved relationship with a strong negative association.

The data roughly form a straight line with positive association.

The relationship has no form.

The scatterplot shows a linear negative relationship.

Step 2:
Is the correlation r an appropriate measure of the strength of this relationship?

The correlation is not an appropriate measure of the strength of the relationship because the pattern is curved.

The correlation is not an appropriate measure of the strength of a relationship, rather, the correlation is a measure of the spread of the points in the scatterplot.

The correlation is an appropriate measure, since the relationship is linear.

The correlation is an appropriate measure, since correlation measures the strength of all data patterns.

Step 3:
Find the correlation if it is an appropriate measure, to 4 decimal places.
Otherwise, write the answer not appropriate.

Answer 1