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

ANegative linear association

BNegative non linear association

CPositive linear association

DPositive non linear association

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

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 associati class=

Verified Answer :

Taking the slope about different points, we have
\(m_{1} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{100-63}{18-12} = \frac{37}{6} =6 \frac{1}{6} \\ m_{2} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{30-88}{8-16} = \frac{-58}{-8} =7 \frac{1}{4}\)
The slopes are positive but are not equal, which means that that the association is positive non linear association.