Quadreg – Texas Instruments PLUS TI-89 User Manual

Page 503

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486 Appendix A: Functions and Instructions

8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 486 of 132

The QR factorization is computed
numerically using Householder
transformations. The symbolic solution is
computed using Gram-Schmidt. The columns
in

qMatName

are the orthonormal basis

vectors that span the space defined by

matrix

.

QR m1,qm,rm ¸

Done

qm ¸

m

m

2

+ o

2

ë sign(møpì nøo)øo

m

2

+ o

2

o

m

2

+ o

2

møsign(møpì nøo)

m

2

+ o

2

rm ¸

m

2

+ o

2

møn+oøp

m

2

+ o

2

0

|

m

ø

pì n

ø

o

|

m

2

+ o

2

QuadReg

MATH/Statistics/Regressions menu

QuadReg

list1

,

list2

[

, [

list3

] [,

list4

,

list5

]

]

Calculates the quadratic polynomial
regression and updates the system statistics
variables.

All the lists must have equal dimensions
except for

list5

.

list1

represents xlist.

list2

represents ylist.

list3

represents frequency.

list4

represents category codes.

list5

represents category include list.

In function graphing mode:

{0,1,2,3,4,5,6,7}! L1 ¸

{1 2 3 ...}

{4,3,1,1,2,2,3,3}! L2 ¸

{4 3 1 ...}

QuadReg L1,L2 ¸

Done

ShowStat ¸

Note:

list1

through

list4

must be a variable

name or c1–c99. (columns in the last data
variable shown in the Data/Matrix Editor).

list5

does not have to be a variable name and

cannot be c1–c99.

¸

Regeq(x)

"y1(x) ¸

Done

NewPlot 1,1,L1,L2 ¸

Done

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