Texas Instruments TINSPIRE Reference Guide - Page 62

LnReg, Catalog &gt, Output variable, Description

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ln( ) ln(squareMatrix1) ⇒ squareMatrix Returns the matrix natural logarithm of squareMatrix1. This is not the same as calculating the natural logarithm of each element. For information about the calculation method, refer to cos() on. squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. /u keys In Radian angle mode and Rectangular complex format: £ ¡ ¢ To see the entire result, press and then use and to move the cursor. LnReg LnReg X, Y[, [Freq] [, Category, Include]] Computes the logarithmic regression y = a+b·ln(x) on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page 97.) All the lists must have equal dimension except for Include. X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0. Category is a list of numeric or string category codes for the corresponding X and Y data. Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see "Empty (void) elements" on page 131. Catalog > Output variable stat.RegEqn stat.a, stat.b stat.r2 stat.r stat.Resid stat.ResidTrans stat.XReg stat.YReg stat.FreqReg Description Regression equation: a+b·ln(x) Regression coefficients Coefficient of linear determination for transformed data Correlation coefficient for transformed data (ln(x), y) Residuals associated with the logarithmic model Residuals associated with linear fit of transformed data List of data points in the modified X List actually used in the regression based on restrictions of Freq, Category List, and Include Categories List of data points in the modified Y List actually used in the regression based on restrictions of Freq, Category List, and Include Categories List of frequencies corresponding to stat.XReg and stat.YReg 56 TI-Nspire™ Reference Guide

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56
TI-Nspire™ Reference Guide
ln(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix natural logarithm of
squareMatrix1
. This is not
the same as calculating the natural logarithm of each element. For
information about the calculation method, refer to
cos()
on.
squareMatrix1
must be diagonalizable. The result always contains
floating-point numbers.
In Radian angle mode and Rectangular complex format:
To see the entire result, press
£
and then use
¡
and
¢
to
move the cursor.
LnReg
Catalog >
LnReg
X
,
Y
[
,
[
Freq
]
[
,
Category
,
Include
]]
Computes the logarithmic regression y = a+b
·
ln(x) on lists
X
and
Y
with frequency
Freq
. A summary of results is stored in the
stat.results
variable. (See page 97.)
All the lists must have equal dimension except for
Include
.
X
and
Y
are lists of independent and dependent variables.
Freq
is an optional list of frequency values. Each element in
Freq
specifies the frequency of occurrence for each corresponding
X
and
Y
data point. The default value is 1. All elements must be integers
|
0.
Category
is a list of numeric or string category codes for the
corresponding
X
and
Y
data.
Include
is a list of one or more of the category codes. Only those data
items whose category code is included in this list are included in the
calculation.
For information on the effect of empty elements in a list, see “Empty
(void) elements” on page 131.
Output variable
Description
stat.RegEqn
Regression equation: a+b
·
ln(x)
stat.a, stat.b
Regression coefficients
stat.r
2
Coefficient of linear determination for transformed data
stat.r
Correlation coefficient for transformed data (ln(x), y)
stat.Resid
Residuals associated with the logarithmic model
stat.ResidTrans
Residuals associated with linear fit of transformed data
stat.XReg
List of data points in the modified
X List
actually used in the regression based on restrictions of
Freq
,
Category List
, and
Include Categories
stat.YReg
List of data points in the modified
Y List
actually used in the regression based on restrictions of
Freq
,
Category List
, and
Include Categories
stat.FreqReg
List of frequencies corresponding to
stat.XReg
and
stat.YReg
ln()
/u
keys