Texas Instruments NS/CLM/1L1/B Reference Guide - Page 49

LnReg, Catalog &gt, Output variable, Description

Page 49 highlights

ln( ) ln(Value1) ⇒ value ln(List1) ⇒ list Returns the natural logarithm of the argument. For a list, returns the natural logarithms of the elements. /u keys If complex format mode is Real: If complex format mode is Rectangular: 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 LnReg X, Y[, [Freq] [, Category, Include]] Calculates the logarithmic regression. A summary of results is stored in the stat.results variable. (See page 76.) All the arguments must have equal dimensions except for Include. X represents xlist. Y represents ylist. Freq represents frequency. Category represents category codes. Include represents category include list. Catalog > Output variable stat.RegEqn stat.a, stat.b stat.r2 stat.r stat.Resid stat.ResidTrans stat.XReg stat.YReg Description Regression equation: a+b·ln(x). Regression coefficients: y = a+b·ln(x). Coefficient of determination. Correlation coefficient for linear model. Residuals of the curves fit = yN(a+b·ln(x)). 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. TI-Nspire™ Reference Guide 43

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TI-Nspire™ Reference Guide
43
ln()
/u
keys
ln(
Value1
)
value
ln(
List1
)
list
Returns the natural logarithm of the argument.
For a list, returns the natural logarithms of the elements.
If complex format mode is Real:
If complex format mode is Rectangular:
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
]]
Calculates the logarithmic regression. A summary of results is stored
in the
stat.results
variable. (See page 76.)
All the arguments must have equal dimensions except for
Include
.
X
represents xlist.
Y
represents ylist.
Freq
represents frequency.
Category
represents category codes.
Include
represents category include list.
Output variable
Description
stat.RegEqn
Regression equation: a+b
·
ln(x).
stat.a, stat.b
Regression coefficients: y = a+b
·
ln(x).
stat.r
2
Coefficient of determination.
stat.r
Correlation coefficient for linear model.
stat.Resid
Residuals of the curves fit = y
N
(a+b
·
ln(x)).
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
.