SOLUTION: Find the correlation coefficient for the line of best fit of the set of data below. Round your answer to three decimal places. x -2 -1 0 1 2 y 7 6 3 2 0 a. -0.988

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the correlation coefficient for the line of best fit of the set of data below. Round your answer to three decimal places. x -2 -1 0 1 2 y 7 6 3 2 0 a. -0.988       Log On


   

Question 43455: Find the correlation coefficient for the line of best fit of the set of data below. Round your answer to three decimal places.
x -2 -1 0 1 2
y 7 6 3 2 0


a. -0.988
b. -0.976
c. 1.95
d. -0.54
e. None of the others
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
x y (x-xavg)^2 (y-yavg)^2 (x-x')(y-y')
-2 7 4 11.56 -6.8
-1 6 1 5.76 -2.4
0 3 0 0.36 0

1 2 1 2.56 -1.6
2 0 4 12.96 -7.2
total 0 18 10 33.2 -18
average 0 3.6 2 6.64 -3.6
r.m.s.devn. 1.414213562 2.576819745


xavg=x'=0 yavg=y'=3.6 sigmax=sx=1.414 sigmay=sy=2.577
r=-3.6/(sx*sy)= -0.987958433
A IS THE ANSWER