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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.
-0.85
-0.40
0.05
0.90

1 answer

Let's analyze each situation to match them with the most likely correlation coefficient:

  1. Amount of time traveling to a destination and remaining distance: As time increases, the remaining distance typically decreases. This suggests a strong negative correlation. The most suitable correlation coefficient is -0.85.

  2. A person's shoe size and number of books read: There is generally no relationship between a person's shoe size and their reading habits, so we would expect a correlation close to zero. The appropriate correlation coefficient here is 0.05.

  3. Number of hours spent driving and number of miles driven: As the number of hours spent driving increases, we would expect the number of miles driven to also increase, indicating a strong positive correlation. The best fit for this situation is 0.90.

Now, let's fill in the blanks:

Response area:

  • Blank space 1: -0.85
  • Blank space 2: 0.05
  • Blank space 3: 0.90