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 sparrow hawks:

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?

A.) The scatterplot shows a linear negative relationship.

B.)The relationship has no form.

C.) The data roughly form a straight line with positive association.

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

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

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

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

C.)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.

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

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

4: For short-lived birds, the association between these variables is positive: changes in weather and food supply drive the populations of new and returning birds up or down together. For long-lived territorial birds, on the other hand, the association is negative because returning birds claim their territories in the colony and don't leave room for new recruits. Which type of species is the sparrow hawk?

A.) The sparrow hawk is a long-lived territorial species because the association between the two variables is negative.

B.)The sparrow hawk is a short-lived territorial species because the number of new adults increases as percent of returning adult birds in the colony increases.

C. )The sparrow hawk is a long-lived territorial species because the percent?s of adult birds that return to the colony are much larger than the number of new adults.

D.) The sparrow hawk is a short-lived territorial species because the relationship between the two variables is linear.

Percent return New adults 74 66 5 6 81 52 73 62 52 45 8 11 12 15 16 5 17 62 18 18 46 38 19 20 20 46 60