Sinreg, Anova – Texas Instruments TI-83 PLUS User Manual

Page 725

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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

i

i

y

d

c

bx

a

J

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

MS

Error

MS

Factor

=

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