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 the relationship between amount of time traveling and remaining distance

As time of traveling increases, the remaining distance to the destination decreases. This is a strong negative relationship. Among the given coefficients, \(-0.85\) represents a strong negative correlation.

Step2: Analyze the relationship between shoe size and number of books read

There is no logical connection between a person's shoe size and the number of books they read. So, the correlation coefficient should be close to \(0\). Among the given coefficients, \(0.05\) is close to \(0\).

Step3: Analyze the relationship between hours spent driving and miles driven

As the number of hours spent driving increases, the number of miles driven also increases (assuming a non - zero speed). This is a strong positive relationship. Among the given coefficients, \(0.90\) represents a strong positive correlation.

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: \(0.90\)