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?
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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