Operation Manual

Appendix B: Reference Information 630
SinReg
SinRegSinReg
SinReg
The sine regression algorithm applies nonlinear recursive least-squares techniques to
optimize the following cost function:
which is the sum of the squares of the residual errors,
This technique attempts to recursively estimate the constants
a, b, c, and d to make J as
small as possible.
ANOVA(
ANOVA(ANOVA(
ANOVA(
The
ANOVA Ü statistic is:
Ü =
where:
x
y
N
=
=
=
the independent variable list
the dependent variable list
the dimension of the lists
Jasin bx
i
c+()dy
i
–+[]
2
i 1=
N
∑
=
FactorMS
ErrorMS
--------------------------