Question

Here is a bivariate data set. x y 2.4 103.6 -6 79.2 14.3 62.7 -3.7 159.5...

Here is a bivariate data set.

x y
2.4 103.6
-6 79.2
14.3 62.7
-3.7 159.5
12.1 107.4
27.6 43
34.9 -95.2



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

Math   Statistics-And-Probability   
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Answer #1

solution,

X Y XY X^2 Y^2
2.4 103.6 248.64 5.76 10732.96
-6 79.2 -475.2 36 6272.64
14.3 62.7 896.61 204.49 3931.29
-3.7 159.5 -590.15 13.69 25440.25
12.1 107.4 1299.54 146.41 11534.76
27.6 43 1186.8 761.76 1849
34.9 -95.2 -3322.48 1218.01 9063.04
n 7
sum(XY) -756.24
sum(X) 81.60
sum(Y) 460.20
sum(X^2) 2386.12
sum(Y^2) 68823.94
Numerator -42846.00
Denominator 52074.85
r -0.8228
r square 0.6770

r = - 0.823

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