Question

Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 6 4...

Determine the Pearson product-moment correlation coefficient for the following data.

x 1 11 9 6 4 3 2

y 10 4 5 5 7 7 8

(Do not round the intermediate values. Round your answer to 3 decimal places.)

Correlation coefficient, r =

Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
1 10 10 1 100
11 4 44 121 16
9 5 45 81 25
6 5 30 36 25
4 7 28 16 49
3 7 21 9 49
2 8 16 4 64
n 7
sum(XY) 194.00
sum(X) 36.00
sum(Y) 46.00
sum(X^2) 268.00
sum(Y^2) 328.00
Numerator -298.00
Denominator 323.11
r -0.9223
r square 0.8506
Xbar(mean) 5.1429
Ybar(mean) 6.5714
SD(X) 3.4480
SD(Y) 1.9720
b -0.5138
a 9.2138

Correlation coefficient, r = -0.922

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