J
c
1
ae
bx
i
–
+
------------------------
y
i
–
⎝
⎠
⎜
⎟
⎛
⎞
2
i
1
=
N
∑
=
J
a
sin
bx
i
c
+
(
)
d y
i
–
+
[
]
2
i
1
=
N
∑
=
Appendix B: Reference Information
384
•
ZXmin
,
ZXmax
,
ZXscl
,
ZTstep
,
ZPlotStart
,
Zu(
n
Min)
, and other
ZOOM
variables.
The variables below are reserved for use by the TI-84 Plus. You cannot store to them.
n
,
v
,
Sx
,
s
x
,
minX
,
maxX
,
Gy
,
G
y
2
,
G
xy
,
a
,
b
,
c
,
RegEQ
,
x1
,
x2
,
y1
,
z
,
t
,
F
,
c
2
,
Ç
,
v
1
,
Sx1
,
n1
,
lower
,
upper
,
r
2
,
R
2
and other statistical variables.
Statistics Formulas
This section contains statistics formulas for the
Logistic
and
SinReg
regressions,
ANOVA
,
2-Samp
Ü
Test
, and
2-SampTTest
.
Logistic
The logistic 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 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:
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.
where:
x
y
N
=
=
=
the independent variable list
the dependent variable list
the dimension of the lists
where:
x
y
N
=
=
=
the independent variable list
the dependent variable list
the dimension of the lists
