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TI-83 Plus Statistics 362
SinReg—a sin(bx+c)+d
SinReg
(sinusoidal regression) fits the model equation y=a sin(bx+c)+d to
the data using an iterative least-squares fit. It displays values for
a
,
b
,
c
,
and
d
. At least four data points are required. At least two data points per
cycle are required in order to avoid aliased frequency estimates.
SinReg
[
iterations
,
Xlistname
,
Ylistname
,
period
,
regequ
]
iterations
is the maximum number of times the algorithm will iterate to find
a solution. The value for
iterations
can be an integer
‚
1 and
16; if not
specified, the default is 3. The algorithm may find a solution before
iterations
is reached. Typically, larger values for
iterations
result in longer
execution times and better accuracy for
SinReg
, and vice versa.
A
period
guess is optional. If you do not specify
period
, the difference
between time values in
Xlistname
must be equal and the time values must
be ordered in ascending sequential order. If you specify
period
, the
algorithm may find a solution more quickly, or it may find a solution when
it would not have found one if you had omitted a value for
period
. If you
specify
period
, the differences between time values in
Xlistname
can be
unequal.
Note: The output of
SinReg
is always in radians, regardless of the
Radian/Degree
mode setting.