Texas Instruments TI-84 Plus Calculator User Manual


 
Appendix A: Tables and Reference Information 155
ZXmin, ZXmax, ZXscl, ZTstep, ZPlotStart, Zu(nMin), and other
ZOOM variables.
The variables below are reserved for use by the TI-84 Plus. You cannot
store to them.
n, v, Sx, sx, minX, maxX, Gy, Gy
2
, Gxy, a, b, c, RegEQ, x1, x2, y1, z, t, F,
c
2
, Ç, v1, 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-SampÜTest, 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
J
c
1 ae
bx
i
+
----------------------- y
i


2
i 1=
N
=
Jasin bx
i
c+()dy
i
+[]
2
i 1=
N
=