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13. FLOW (corrected) = Sqrt(70.48692)
14. FLOW (corrected) = 8.39
This procedure should be completed for all five run points.
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 =
 
( x)( y)
xy - n
x ; b = y - mx
x - n
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 =
 
( 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 = .284 + .266 + .249 + .230 + .200 = 1.229
18. y = 8.39 + 7.77 + 7.09 + 6.35 + 5.50 = 35.1
19. x2 = (.284)2 + (.266)2 + (.249)2 + (.230)2 + (.200)2 = .306313
20. y2 = (8.39)2 + (7.77)2 + (7.09)2 + (6.35)2 + (5.50)2 = 251.6056
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