Texas Instruments TI-89 Titanium User Manual page 854

SinReg
MATH/Statistics/Regressions menu
[
list1 list2
SinReg ,
Calculates the sinusoidal regression and updates all
the system statistics variables.
All the lists must have equal dimensions except for
.
list4
represents xlist.
list1
represents ylist.
list2
represents category codes.
list3
represents category include list.
list4
specifies the maximum number of times (1
iterations
through 16) a solution will be attempted. If omitted, 8
is used. Typically, larger values result in better
accuracy but longer execution times, and vice versa.
specifies an estimated period. If omitted, the
period
difference between values in
and in sequential order. If you specify
differences between x values can be unequal.
Note:
list1
c1–c99 (columns in the last data variable shown in
the Data/Matrix Editor).
variable name and cannot be c1–c99.
The output of
regardless of the angle mode setting.
solve()
MATH/Algebra menu
solve( equation , var
inequality var
solve( ,
Returns candidate real solutions of an equation or an
inequality for
solutions. However, there might be equations or
inequalities for which the number of solutions is infinite.
Solution candidates might not be real finite solutions
for some combinations of values for undefined
variables.
For the
AUTO
goal is to produce exact solutions when they are
concise, and supplemented by iterative searches with
approximate arithmetic when exact solutions are
impractical.
Due to default cancellation of the greatest common
divisor from the numerator and denominator of ratios,
solutions might be solutions only in the limit from one or
both sides.
For inequalities of types ‚, , <, or >, explicit solutions
are unlikely unless the inequality is linear and contains
only .
var
For the
EXACT
portions that cannot be solved are returned as an
implicit equation or inequality.
Appendix A: Functions and Instructions
iterations period list3 list4
, [ ] , [ ] [, ,
should be equal
list1
period
through must be a variable name or
list3
does not have to be a
list4
is always in radians,
SinReg
) ⇒
Boolean expression
) ⇒
Boolean expression
. The goal is to return candidates for all
var
setting of the
Exact/Approx
setting of the
Exact/Approx
]
In function graphing mode:
]
seq(x,x,1,361,30)! L1 ¸
{5.5,8,11,13.5,16.5,19,19.5,17,
14.5,12.5,8.5,6.5,5.5}! L2 ¸
SinReg L1,L2 ¸
ShowStat ¸
¸
regeq(x)! y1(x) ¸
, the
NewPlot 1,1,L1,L2 ¸
¥ %
„ 9
solve(aù x^2+bù x+c=0,x) ¸
ans(1)| a=1 and b=1 and c=1
¸
mode, the solve((xì a)
¸
(x+1)(xì 1)/(xì 1)+xì 3 ¸
solve(entry(1)=0,x) ¸
entry(2)|ans(1) ¸
limit(entry(3),x,1) ¸
solve(5xì 2 ‚ 2x,x) ¸
mode,
exact(solve((xì a)
(xì a),x)) ¸
{1 31 61 ...}
{5.5 8 11 ...}
bñ -4ø aø c-b
x =
2ø a
ë ( bñ -4ø aø c+b)
or x =
2ø a
Error: Non-real result
e ^(x)=ë xù (xì a),x)
x = a or x =ë.567
2ø xì 2
undef
x ‚ 2/3
e ^(x)=ë xù
x
e + x = 0 or x = a
Done
Done
Done
...
x = 1
0
851