Question

Determine the Pearson product-moment correlation coefficient for the following data. x 1 10 9 8 4...

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

x 1 10 9 8 4 3 2

y 10 4 4 5 7 7 9

(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
10 4 40 100 16
9 4 36 81 16
8 5 40 64 25
4 7 28 16 49
3 7 21 9 49
2 9 18 4 81
n 7
sum(XY) 193.00
sum(X) 37.00
sum(Y) 46.00
sum(X^2) 275.00
sum(Y^2) 336.00
Numerator -351.00
Denominator 362.24
r -0.9690
r square 0.9389
Xbar(mean) 5.2857
Ybar(mean) 6.5714
SD(X) 3.3375
SD(Y) 2.1148
b -0.6313
a 9.9083

r = -0.969

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