Question

Determine the value of the coefficient of correlation, r, for the following data. X 2 6...

Determine the value of the coefficient of correlation, r, for the following data.

X 2 6 7 11 16 17 21
Y 18 15 13 8 7 7 6


(Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.)


r =

0 0
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Answer #1

Solution:

X Y XY X^2 Y^2
2 18 36 4 324
6 15 90 36 225
7 13 91 49 169
11 8 88 121 64
16 7 112 256 49
17 7 119 289 49
21 6 126 441 36
n 7
sum(XY) 662.00
sum(X) 80.00
sum(Y) 74.00
sum(X^2) 1196.00
sum(Y^2) 916.00
Numerator -1286.00
Denominator 1358.60
r -0.9466
r square 0.8960
Xbar(mean) 11.4286
Ybar(mean) 10.5714
SD(X) 5.3980
SD(Y) 4.2687
b -0.6521
a 18.0243

(3)-(03) (3)-(3) (3)() - - ...

r = -0.947

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