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I think is answer is Set C x 1 2 3 4 5 6 7 8 9 y 8 6 5 4 3.5 3 2.5 2 2
The set C shows a positive nonlinear association between x and y
How to determine the set that shows a positive nonlinear association between x and y?
The set is given 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
For the set to represent a non linear association, then the variables increases or decreases as the other variable changes but the direction must form a curved pattern.
Sets A, B and D are linear asociation because the output variables increases or decrease as the input variable increases
Hence, the set C shows a positive nonlinear association between x and y
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