The tables below show four sets of data: Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
For which set of data will the scatter plot represent a negative nonlinear association between x and y?

Group of answer choices

Set A

Set B

Set C

Set D

Hence, the set that represent a negative linear association between x and y is:

Set A.

Step-by-step explanation:

We are given 4 sets of data as:

Set A  

x 1 2 3 4 5 6 7 8 9  

y 10 9 8 7 6 5 4 3 2

Set B  

x 1 2 3 4 5 6 7 8 9  

y 3 4 5 6 7 8 9 10 11

Set C  

x 1 2 3 4 5 6 7 8 9  

y 8 6 5 4 3.5 3 2.5 2 2

Set D  

x 1 2 3 4 5 6 7 8 9  

y 1 2.5 2.5 3 4 5 6 8 9

We are asked to determine the set which represent negative linear association between x and y?

Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.

In set C the relationship is non-linear though it is negative.

Clearly in Set A we could see that the the y is related to x as:

        y=11-x or y= -x+11.

Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.