Question

A scatter plot is made with the data shown:

Number of People Mowing a Golf Course


2

3

4

5

6

7

8

9

10





Time Taken to Mow the Golf Course
(hours)

16

13

10

8

7

6

4

3

3




What type of association will the scatter plot for this data represent between the number of people mowing the golf course and the time taken to complete mowing the golf course?

No association
Positive linear association
Negative nonlinear association
Positive nonlinear association

Answer 1

Negative nonlinear association.

Explanation:

Answer 2

As the number of people mowing increases, the time taken to mow the Golf Course decreases. Therefore we can immediately eliminate No association as being the correct answer. We can also eliminate the choices Positive linear association and Positive nonlinear association. Because a positive association means as one value increases, so does the other value. Or as one value decreases, the other also decreases.

So our answer is Negative nonlinear association.