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TE-5170 TSP MFC 24 Operations Manual
where: n = number of observations
y = y/n; x = x/n
= sum of.
The equation for the coefficient of correlation (r) is as follows:
16. r =
   
( x)( y)
xy - n
x-
x
n y-
y
n
22
 
2 2
where: n = number of observations
= sum of.
Before these can be determined, some preliminary algebra is necessary. x, y, x2,
xy, (x)2, (y)2, n, y, and x need to be determined.
17. x = 1.831 + 1.631 + 1.452 + 1.265 + 1.119 = 7.298
18. y = 52.07 + 47.06 + 42.06 + 37.05 + 33.05 = 211.29
19. x2 = (1.831)2 + (1.631)2 + (1.452)2 + (1.265)2 + (1.119)2 = 10.973412
20. y2 = (52.07)2 + (47.06)2 + (42.06)2 + (37.05)2 + (33.05)2 = 9159.9771
21. xy = (1.831)(52.07) + (1.631)(47.06) + (1.452)(42.06) + (1.265)(37.05) +
(1.119)(33.05) = 317.01735
22. n = 5
23. x = x/n = 1.4596
24. y = y/n = 42.258
25. (x)2 = (7.298)2 = 53.260804
26. (y)2 = (211.29)2 = 44643.464
Inserting the numbers:
27.
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