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TI-83 Plus Tables and Reference Information 722
SinReg
The sine regression algorithm applies nonlinear recursive least-squares
techniques to optimize the following cost function:
()
[]
2
1
sin
∑
=
−++=
N
i
ii
ydcbxaJ
which is the sum of the squares of the residual errors,
where:
x
= the independent variable list
y
= the dependent variable list
N
= the dimension of the lists
This technique attempts to recursively estimate the constants
a
,
b
,
c
, and
d
to make
J
as small as possible.
ANOVA(
The
ANOVA
Û
statistic is:
Û
MSError
MSFactor
=