Question

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) x...

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)

x y
4 18.2
5 18.05
6 14.8
7 12.65
8 8.7
9 4.65
10 2.7

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Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
4 18.2 72.8 16 331.24
5 18.05 90.25 25 325.8025
6 14.8 88.8 36 219.04
7 12.65 88.55 49 160.0225
8 8.7 69.6 64 75.69
9 4.65 41.85 81 21.6225
10 2.7 27 100 7.29
n 7
sum(XY) 478.85
sum(X) 49.00
sum(Y) 79.75
sum(X^2) 371.00
sum(Y^2) 1140.71
Numerator -555.80
Denominator 564.34
r -0.9849
r square 0.9700
Xbar(mean) 7.0000
Ybar(mean) 11.3929
SD(X) 1.7078
SD(Y) 4.8984
b -2.8357
a 31.2429

r = -0.985

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