AOAC SPIFAN Nutrients ERP (December 7, 2022)
Amino-07 (SLV) 10-2022 FOR ERP USE ONLY DO NOT DISTRIBUTE
= ∑ =1 = ∑ =1 = ∑ � − �� − � =1 � − � 2 = −
Appendix B: Equations Linearity line of best fit: = + (least square method)
eqn 1
eqn 2
eqn 3
eqn 4
where: = mean of x -values = mean of y -values =
slope of line of best fit = values of the -variable = values of the -variable = number of order pairs of values ( , ) = -intercept of line of best fit
2 = ∑ ( − � ) 2 ∑ ( − ) 2
correlation coefficient
eqn 5
where: 2 = correlation coefficient = values of the -variable � =
a point on the regression line =
mean of all values of the -variable
= ∑ =1
Precision mean
eqn 6
where: = mean of value of data set = number of values in data set = th value of data set where: = standard deviation of data set = mean of value of data set = th value of data set = number of values in data set = � ( − ) 2 − 1
standard deviation
eqn 7
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