Texas Instruments TI-83 Guide Book

A-50 Tables and Reference Information
8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM
Page 50 of 58
This section contains statistics formulas for the Logistic and SinReg
regressions, ANOVA, 2
.
Samp
Ü
Test, and 2
.
SampTTest.
The logistic regression algorithm applies nonlinear
recursive least-squares techniques to optimize the
following cost function:
J
c
ae
y
bx
i
i
N
i
=
+
−






−
=
∑
1
2
1
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 estimate the constants
a
,
b
, and
c
recursively to make
J
as small as possible.
The sine regression algorithm applies nonlinear recursive
least-squares techniques to optimize the following cost
function:
[]
Jabxcdy
ii
i
N
=++−
=
∑
sin
()
2
1
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.
Statistics Formulas
Logistic
SinReg

Texas Instruments TI-83 Specifications

General

Programming	TI-BASIC
Processor	Zilog Z80, 6 MHz
Weight	7.4 oz (210 g)
Display	96x64 pixels, monochrome LCD
Power Source	4 AAA batteries, 1 CR1616 or CR1620 for backup
Memory	32 KB RAM
Connectivity	2.5mm I/O port for linking with other TI calculators