Question

URGENT! Please help

What is the value of 7 for the following data to three decimal places?

A. 0.852
B. 0.930
C. 0.659
D. 0.964

Answer 1

Option B

Explanation:

Given that two variables in the 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.

I hope my answer helped! <3