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Fat Grams and Secondary Schools. The number of fat calories and grams of saturated fat in...

Fat Grams and Secondary Schools. The number of fat calories and grams of saturated fat in a number of fast-food non-breakfast entrees are shown below.

Fat Calories 190 220 270 360 460 540
Sat. Fat 9 8 13 17 23 27

Compute the value of the correlation coefficient?

Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
190 9 1710 36100 81
220 8 1760 48400 64
270 13 3510 72900 169
360 17 6120 129600 289
460 23 10580 211600 529
540 27 14580 291600 729
n 6
sum(XY) 38260.00
sum(X) 2040.00
sum(Y) 97.00
sum(X^2) 790200.00
sum(Y^2) 1861.00
Numerator 31680.00
Denominator 31911.71
r 0.9927
r square 0.9855
Xbar(mean) 340.0000
Ybar(mean) 16.1667
SD(X) 126.8858
SD(Y) 6.9861
b 0.0547
a -2.4172

The value of correlation coefficient = r = 0.9927

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