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Find the Pearson Correlation for the following data. X Y 1 3 1 2 2 4...

Find the Pearson Correlation for the following data. X Y 1 3 1 2 2 4 2 5 3 5 3 6

Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
1 3 3 1 9
1 2 2 1 4
2 4 8 4 16
2 5 10 4 25
3 5 15 9 25
3 6 18 9 36
n 6
sum(XY) 56.00
sum(X) 12.00
sum(Y) 25.00
sum(X^2) 28.00
sum(Y^2) 115.00
Numerator 36.00
Denominator 39.50
r 0.9115
r square 0.8308
Xbar(mean) 2.0000
Ybar(mean) 4.1667
SD(X) 0.8165
SD(Y) 1.3437
b 1.5000
a 1.1667

Pearson Correlation = r = 0.9115

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