Texas Instruments TI-83 PLUS - Manual (Page 724)

TI-83 Plus Tables and Reference Information 721
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:
2
1
1
∑
=
−






−
+
=
N
i
i
i
bx
y
ae
c
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 estimate the constants a , b , and c recursively
to make J as small as possible.