Texas Instruments TI-84 - Manual (Page 633)

Appendix B: Reference Information 630
SinReg SinReg SinReg 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
J a sin bx
i
c +
( ) d y
i
– +
[ ] 2
i 1 =
N
∑
=
FactorMS
ErrorMS
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