A-15
Agilent 7500 ICP-MS ChemStation Operator’s Manual
Appendix
Coefficients of Calibration Curves
Coefficients are calculated as follows.
where
n: number of points
x
i
: numbered value of x
y
i
: measured value of y
w
i
: weight of each point (w
i
=1.0 in the case of unweighted regressions)
1y = ax
2 y = ax + b
a
x
i
y
i
w
i
i
∑
x
i
2
w
i
i
∑
---------------------=
a
nx
i
y
i
w
i
i
∑
⎝⎠
⎜⎟
⎛⎞
x
i
w
i
i
∑
⎝⎠
⎜⎟
⎛⎞
y
i
w
i
i
∑
⎝⎠
⎜⎟
⎛⎞
–
nx
i
2
w
i
i
∑
⎝⎠
⎜⎟
⎛⎞
x
i
w
i
i
∑
⎝⎠
⎜⎟
⎛⎞
2
–
---------------------------------------------------------------------------------=
b
y
i
w
i
i
∑
n
----------------- a
x
i
w
i
i
∑
n
-----------------
–=