Question

Here is a bivariate data set. x y 69.7 98.7 61 105.6 61.5 114.2 64.9 115.3...

Here is a bivariate data set.

x y
69.7 98.7
61 105.6
61.5 114.2
64.9 115.3
50.9 48.5
64.8 74



Find the correlation coefficient and report it accurate to three decimal places.
r =

Math   Statistics-And-Probability   
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Answer #1

Solution:

X Y XY X^2 Y^2
69.7 98.7 6879.39 4858.09 9741.69
61 105.6 6441.6 3721 11151.36
61.5 114.2 7023.3 3782.25 13041.64
64.9 115.3 7482.97 4212.01 13294.09
50.9 48.5 2468.65 2590.81 2352.25
64.8 74 4795.2 4199.04 5476
n 6
sum(XY) 35091.11
sum(X) 372.80
sum(Y) 556.30
sum(X^2) 23363.20
sum(Y^2) 55057.03
Numerator 3158.02
Denominator 5003.36
r 0.6312
r square 0.3984
Xbar(mean) 62.1333
Ybar(mean) 92.7167
SD(X) 5.7720
SD(Y) 24.0789
b 2.6331
a -70.8858

r = 0.631

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