Question

Find the value of the linear correlation coefficient r X 20.2 40.3 27.5 23.4 30.7 Y...

Find the value of the linear correlation coefficient r

X 20.2 40.3 27.5 23.4 30.7

Y 5 5 9 8 10

Math   Statistics-And-Probability   
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Answer #1

Solution:

X Y XY X^2 Y^2
20.2 5 101 408.04 25
40.3 5 201.5 1624.09 25
27.5 9 247.5 756.25 81
23.4 8 187.2 547.56 64
30.7 10 307 942.49 100
n 5
sum(XY) 1044.20
sum(X) 142.10
sum(Y) 37.00
sum(X^2) 4278.43
sum(Y^2) 295.00
Numerator -36.70
Denominator 356.61
r -0.1029
r square 0.0106
Xbar(mean) 28.4200
Ybar(mean) 7.4000
SD(X) 6.9275
SD(Y) 2.0591
b -0.0306
a 8.2694

r = -0.1029

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