Question

determine which correlation coefficient would most likely represent the relationship between the two variables in each situation. drag numbers to match each situation in the table with the most likely correlation coefficient.

situation	correlation coefficient
a persons shoe size and number of books read
number of hours spent driving and number of miles driven

-0.85
-0.40
0.05
0.90

Explanation:

Step1: Analyze first situation

As time traveling increases, remaining distance decreases (strong negative). So correlation coefficient: \(-0.85\).

Step2: Analyze second situation

Shoe size and books read: no relation (weak, near 0). So correlation coefficient: \(0.05\).

Step3: Analyze third situation

Hours driving and miles driven: positive (strong, as more hours mean more miles). So correlation coefficient: \(0.90\).

Answer:

• Amount of time traveling to a destination and remaining distance: \(-0.85\)
• A person's shoe size and number of books read: \(0.05\)
• Number of hours spent driving and number of miles driven: \(0.90\)