Question

Please round all answers to 2 decimal places. Given the table below, use your calculator to...

Please round all answers to 2 decimal places.

Given the table below, use your calculator to find the Correlation Coefficient

xx 3.6 5.6 9.3 5.5 9.1 1.2
yy 8.9 19.3 22 12.6 27.7 10.5
Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
3.6 8.9 32.04 12.96 79.21
5.6 19.3 108.08 31.36 372.49
9.3 22 204.6 86.49 484
5.5 12.6 69.3 30.25 158.76
9.1 27.7 252.07 82.81 767.29
1.2 10.5 12.6 1.44 110.25
n 6
sum(XY) 678.69
sum(X) 34.30
sum(Y) 101.00
sum(X^2) 245.31
sum(Y^2) 1972.00
Numerator 607.84
Denominator 694.08
r 0.8757

The Correlation Coefficient r,

r = 0.8757

r = 0.88

Answer :   The Correlation Coefficient r is 0.88

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