Question

Abotanist gathered data about the number of pine, oak, and birch trees found in local parks. He used a graphing tool to organize his data in different scatter plots and found the following lines of best fit • The relationship between the numbers of pine trees, x, and oak trees, y, is modeled by the equation y=092x+2 14, and the correlation coefficient for the data is 0.664 • The relationship between the numbers of birch trees, x, and oak trees,y,is modeled by the equation y=0.73x + 113, and the correlation coefficient for the data is 0.939 The relationship between the numbers of birch trees, x, and pine trees, y, is modeled by the equation y=088x+512, and the correlation coefficient for the data is 0813. Which line of best fit can the botanist expect to produce the most reliable predictions? the line modeling the numbers of birch trees and pine trees the line modeling the numbers of birch trees and oak trees All three lines will give equally reliable predictions the line modeling the numbers of pine trees and oak trees​

Answer 1

the line modeling the numbers of birch trees and oak trees

Explanation:

The correlation coefficient is a measure of the strength of an association between two variables. As the absolute value of the correlation coefficient gets closer to 1 and farther from 0, the relationship grows stronger and predictions made using the line of best fit become more reliable.

Because the absolute value of the correlation coefficient is closest to 1 for the line modeling the numbers of birch trees and oak trees, the botanist can expect this line to produce the most reliable predictions.

Answer 2

Answer: the line modeling the numbers of birch trees and oak trees

Explanation: