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Compute the linear correlation coefficient from the given table. X 1 2 4 6 7 Y...

Compute the linear correlation coefficient from the given table. X 1 2 4 6 7 Y 17 13 9 6 4

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Answer #1

Solution :

X Y XY X^2 Y^2
1 17 17 1 289
2 13 26 4 169
4 9 36 16 81
6 6 36 36 36
7 4 28 49 16
n 5
sum(XY) 143.00
sum(X) 20.00
sum(Y) 49.00
sum(X^2) 106.00
sum(Y^2) 591.00
Numerator -265.00
Denominator 268.37
r -0.9875
r square 0.9751
Xbar(mean) 4.0000
Ybar(mean) 9.8000
SD(X) 2.2804
SD(Y) 4.7074
b -2.0385
a 17.9538

Linear correlation coefficient = -0.9875

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