Statistics Formulas - Texas Instruments TI-84 Plus Manual Book

Statistics Formulas

This section contains statistics formulas for the
regressions,
ANOVA
Logistic
The logistic regression algorithm applies nonlinear recursive least-squares
techniques to optimize the following cost function:
N
⎛
∑
---------------------- - y
J =
⎝
1
i = 1
which is the sum of the squares of the residual errors,
where: x =
=
y
=
N
This technique attempts to estimate the constants a, b, and c recursively
to make J as small as possible.
SinReg
The sine regression algorithm applies nonlinear recursive least-squares
techniques to optimize the following cost function:
N
∑
[
J = a sin bx
i = 1
which is the sum of the squares of the residual errors,
where: x =
=
y
=
N
This technique attempts to recursively estimate the constants a, b, c, and
d to make J as small as possible.
ANOVA(
Ü statistic is:
The
ANOVA
FactorMS
Ü =
--------------------------
ErrorMS
Appendix B: Reference Information
Ü
,
2-Samp Test
⎞
2
c
–
⎠
i
– bx
i
+ ae
the independent variable list
the dependent variable list
the dimension of the lists
( )
+ c + d y
i
the independent variable list
the dependent variable list
the dimension of the lists
Logistic
, and
2-SampTTest
2
]
–
i
and
SinReg
.
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