Answer:
Option B
Explanation:
Given that two variables in table as
Total Average
x 2 6 7 8 12 35 7
y 15 13 9 8 5 50 10
xy 30 78 63 64 60 295 59
(x-7)^2 25 1 0 1 25 52 10.4
(y-10)^2 25 9 1 4 25 64 12.8
Var x = 10.4 and std dev x = 3.225
Var Y = 12.8 and std dev Y = 3.578
Cov (xy) = E(xy)-E(x) E(Y)=59-70=-11
Correlation coefficient r
= Cov /sx sy = -11/(3.225)(3.578)=-0.9532
Round off to get
r=-0.953
Henceoption B is right.