Question

Calculate the linear correlation coefficient for the data below. Round to three decimal places. x -9...

Calculate the linear correlation coefficient for the data below. Round to three decimal places. x -9 -7 0 -3 -5 -6 -4 -2 -1 -8

y 2 -3 -15 -10 -6 -5 -8 -13 -14 -1

Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
-9 2 -18 81 4
-7 -3 21 49 9
0 -15 0 0 225
-3 -10 30 9 100
-5 -6 30 25 36
-6 -5 30 36 25
-4 -8 32 16 64
-2 -13 26 4 169
-1 -14 14 1 196
-8 -1 8 64 1
n 10
sum(XY) 173.00
sum(X) -45.00
sum(Y) -73.00
sum(X^2) 285.00
sum(Y^2) 829.00
Numerator -1555.00
Denominator 1562.95
r -0.9949
r square 0.9898
Xbar(mean) -4.5000
Ybar(mean) -7.3000
SD(X) 2.8868
SD(Y) 5.3359
b -1.8848
a -15.7818

r = -0.995

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