Question

elena 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

Explanation:

Step1: Analyze the relationship

The more bananas you buy, the higher the total cost. So, there is a positive correlation.

Step2: Evaluate the options

Options A and B are negative, so they are incorrect. Option C (0.4) indicates a weak positive correlation, while Option D (0.9) indicates a strong positive correlation. Since buying more bananas should have a relatively strong positive effect on cost (as price per banana is fixed, more quantity means more cost, a strong linear - like relationship), 0.9 is more appropriate.

Answer:

D. 0.9