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TE-5200 18 Operations Manual
Using Qstd as our x-axis, and FLOW (corrected) as our y-axis, a slope, intercept,
and correlation coefficient can be determined using the least squares
regression method.
The equations for determining the slope (m) and intercept (b) are as follows:
15. m =
 
 
xy x y
n
xx
n
b = y - mx
 
2
2;
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 =
xy x y
n
xx
nyy
n
 
 
2
2
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 = 1.632 + 1.529 + 1.483 + 1.435 + 1.316 = 7.395
18. y = 2.34 + 2.21 + 2.15 + 2.07 + 1.94 = 10.71
19. x2 = (1.632)2 + (1.529)2 + (1.483)2 + (1.435)2 + (1.316)2 = 10.991635
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