Question

Which association best describes the data in the table?

Variable X: 12 18 16 8 9 5 10 14 11
Variable Y: 63 100 88 30 36 17 47 72 52

A. Negative linear association

B. Negative non linear association

C. Positive linear association

D. Positive non linear association

I think it could be B..not sure though. Please help!

Answer 1

Taking the slope about different points, we have

`m_(1) = ( y_(2)- y_(1) )/(x_(2)- x_(1)) = (100-63)/(18-12) = (37)/(6) =6 (1)/(6) \\ m_(2) = ( y_(2)- y_(1) )/(x_(2)- x_(1)) = (30-88)/(8-16) = (-58)/(-8) =7 (1)/(4)`
The slopes are positive but are not equal, which means that that the association is positive non linear association.