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