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48
_ _
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 = 1.475 + 1.167 + 1.115 + 1.079 + 1.060 = 5.896
18. y = 35.00 + 29.37 + 28.75 + 28.12 + 27.50 = 148.74
19. x2 = (1.475)2 + (1.167)2 + (1.115)2 + (1.079)2 + (1.060)2 = 7.069
20. y2 = (35.00)2 + (29.37)2 + (28.75)2 + (28.12)2 + (27.50)2 = 4461.1438
21. xy = (1.475)(35.00) + (1.167)(29.37) + (1.115)(28.75) + (1.079)(28.12) +
(1.060)(27.50) = 177.448
22. n = 5
_
23. x = x/n = 1.1792
_
24. y = y/n = 29.748
25. (x)2 = (5.896)2 =34.763
26. (y)2 = (149.74)2 = 22,123.587
Inserting the numbers:
(5.896)(148.74)
177.448 - 5 .
27. slope = 34.763
7.069 - 5
(876.971)
177.448 - 5 .
29. slope = 34.763
7.069 - 5
177.448 - 175.394 .
29. slope = 7.069 - 6.953
2.054 .
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