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Sinr – Texas Instruments TI-86 User Manual

Page 369

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Chapter 20: A to Z Function and Instruction Reference

357

20ATOZ.DOC TI-86, Chap 20, US English Bob Fedorisko Revised: 02/13/01 2:42 PM Printed: 02/13/01 3:05 PM Page 357 of 118

20ATOZ.DOC TI-86, Chap 20, US English Bob Fedorisko Revised: 02/13/01 2:42 PM Printed: 02/13/01 3:05 PM Page 357 of 118

SinR

STAT CALC menu

Built-in equation variables
such as y1, r1, and xt1 are
case-sensitive. Do not use
Y1, R1, and XT1.

If you specify a period, the
TI

-

86 may find a solution

more quickly or it may find
a solution when one would
not have been found
otherwise.

SinR [

iterations

,]

xList

,

yList

[,

period

],

equationVariable

Attempts to fit a sinusoidal regression model
(y=a sin(bx+c)+d) to real data pairs in xList and yList,
using an optional estimated period. The regression
equation is stored to equationVariable, which must be a
built-in equation variable such as

y1

,

r1

, and

xt1

. The

equation’s coefficients always are stored as a list to
built-in variable

PRegC

.

iterations

is optional; it specifies the maximum number

of times (1 through 16) the TI

-86 will attempt to find a

solution. If omitted, 8 is used. Typically, larger values
result in better accuracy but longer execution times,
and vice versa.

If you omit the optional period, the difference between
values in xList should be equal and in sequential order.
If you specify period, the differences between x values
can be unequal.

Values used for xList and yList are stored automatically
to built-in variables

xStat

and

yStat

, respectively. The

regression equation is stored also to built-in equation
variable

RegEq

.

The output of

SinR

is always in radians, regardless of

the angle mode setting.

seq(x,x,1,361,30)¶L1 b

{1 31 61 91 121 151 …

{5.5,8,11,13.5,16.5,19,19.5,17,
14.5,12.5,8.5,6.5,5.5}¶L2 b

{5.5 8 11 13.5 16.5…

SinR L1,L2,y1 b

Plot1(1,L1,L2) b

Done

ZData b

SinR [

iterations

,]

xList

,

yList

[,

period

]

Stores the regression equation to

RegEq

only.