Question

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 ,begin emphasis,most,end emphasis, likely correlation coefficient.

Response area with 3 blank spaces
Situation Correlation Coefficient
Amount of time traveling to a destination and remaining distance
Blank space 1 empty

A person's shoe size and number of books read
Blank space 2 empty

Number of hours spent driving and number of miles driven

Blank space 3 empty


Answer options with 4 options.

Answer 1

To match the situations with the most likely correlation coefficients, we can analyze each pair of variables:

1. **Amount of time traveling to a destination and remaining distance**: This correlation is likely to be a negative correlation because as the time spent traveling increases, the remaining distance typically decreases. Therefore, this could be represented by a coefficient close to **-1**.

2. **A person's shoe size and number of books read**: There is likely no correlation between a person's shoe size and the number of books they read, as these two variables are not related. This could be represented by a coefficient close to **0**.

3. **Number of hours spent driving and number of miles driven**: This correlation is likely to be a positive correlation because as the number of hours spent driving increases, the number of miles driven also tends to increase. This could be represented by a coefficient close to **1**.

Now, let's place these values into the blanks:

- **Blank space 1 (Amount of time traveling to a destination and remaining distance)**: **-1**
- **Blank space 2 (A person's shoe size and number of books read)**: **0**
- **Blank space 3 (Number of hours spent driving and number of miles driven)**: **1**

Final answers:
1. Blank space 1: -1
2. Blank space 2: 0
3. Blank space 3: 1