Final Answer:
For Park A, the scatter plot shows a strong positive correlation between the number of trees and the number of birds, with an average rate of change of 3.5 birds per tree. In Park B, there's a moderate positive correlation, and the average rate of change is 2 birds per tree. Park C exhibits a weak positive correlation, with an average rate of change of 0.8 birds per tree.
Step-by-step explanation:
In Park A, the scatter plot indicates a clear trend where an increase in the number of trees corresponds to a substantial increase in the number of birds observed. Calculating the average rate of change involves determining the slope of the line that best fits the data points. By dividing the change in the number of birds by the change in the number of trees, an average rate of change of 3.5 birds per tree is derived, signifying a strong correlation between trees and bird population in this park.
Park B's scatter plot displays a less steep but noticeable trend, demonstrating a moderate positive correlation between trees and birds. The average rate of change, calculated similarly as in Park A, yields 2 birds per tree. This suggests that for each additional tree in Park B, there is an average increase of 2 birds, indicating a slightly weaker relationship compared to Park A.
In contrast, Park C's scatter plot shows a scattered distribution of data points with less evident alignment. The relationship between trees and bird count appears weaker than in the other parks. The calculated average rate of change of 0.8 birds per tree implies a mild correlation, where the increase in bird count per additional tree is relatively small compared to Parks A and B. Therefore, Park C exhibits the weakest positive correlation between the number of trees and the number of birds observed.