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
Amount of time traveling to a destination and remaining distance

A person's 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

Answer 1

Let's analyze the situations and determine the most likely correlation coefficient for each:

1. **Amount of time traveling to a destination and remaining distance**: This relationship is expected to be negatively correlated because as time traveling increases, the remaining distance typically decreases. Thus, a strong negative correlation coefficient like **-0.85** would be appropriate.

2. **A person's shoe size and number of books read**: These two variables are unlikely to have any meaningful relationship, suggesting a very weak correlation. A correlation coefficient close to zero, like **0.05**, would represent this situation well.

3. **Number of hours spent driving and number of miles driven**: This would be expected to have a strong positive correlation since generally, more hours spent driving leads to more miles driven. Therefore, a strong positive correlation coefficient like **0.90** would fit this scenario.

So, the final matches would be:

- 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**

Thus, the assignments are as follows:

- **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**