Question

Here is a bivariate data set. x y 17 85 36 -0 32 -7 37 11...

Here is a bivariate data set.

x y
17 85
36 -0
32 -7
37 11
56 -50
18 87
40 3
5 64
24 28



Find the correlation coefficient and report it accurate to four decimal places.
r =

Math   Statistics-And-Probability   
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Answer #1

Solution:

X Y XY X^2 Y^2
17 85 1445 289 7225
36 0 0 1296 0
32 -7 -224 1024 49
37 11 407 1369 121
56 -50 -2800 3136 2500
18 87 1566 324 7569
40 3 120 1600 9
5 64 320 25 4096
24 28 672 576 784
n 9
sum(XY) 1506.00
sum(X) 265.00
sum(Y) 221.00
sum(X^2) 9639.00
sum(Y^2) 22353.00
Numerator -45011.00
Denominator 50174.74
r -0.8971
r square 0.8048
Xbar(mean) 29.4444
Ybar(mean) 24.5556
SD(X) 13.1360
SD(Y) 49.6957
b -2.7236
a 104.7518

r = -0.8971

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