Question

Ellena collects data to investigate the relationship between the number of bananas she buys at the store, x, and the total cost of the bananas, y. Which value for the correlation coefficient is most likely to match a line of best fit of the form y = mx + b for this situation?

A) -0.9
B) -0.4
C) 0.4
D) 0.9

Answer 1

The value for the correlation coefficient that matches a line of best fit of the form y = mx + b for this situation is most likely D) 0.9.

Step-by-step explanation:

The correlation coefficient measures the strength and direction of the relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative relationship, 0 indicates no relationship, and 1 indicates a perfect positive relationship. In this case, the line of best fit is represented by y = mx + b, where m is the slope and b is the y-intercept. It is most likely that the value for the correlation coefficient that matches a line of best fit of this form is D) 0.9, indicating a strong positive relationship between the number of bananas bought and the total cost.