Texas Instruments TINSPIRE Reference Guide - Page 31

CubicReg, Catalog &gt, Output variable, Description, cumulativeSum, Coefficient of determination

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CubicReg CubicReg X, Y[, [Freq] [, Category, Include]] Computes the cubic polynomial regression y = a·x3+b· x2+c·x+d 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.c, stat.d stat.R2 stat.Resid stat.XReg stat.YReg stat.FreqReg Description Regression equation: a·x3+b·x2+c·x+d Regression coefficients Coefficient of determination Residuals from the regression 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 cumulativeSum( ) cumulativeSum(List1) ⇒ list Returns a list of the cumulative sums of the elements in List1, starting at element 1. cumulativeSum(Matrix1) ⇒ matrix Returns a matrix of the cumulative sums of the elements in Matrix1. Each element is the cumulative sum of the column from top to bottom. An empty (void) element in List1 or Matrix1 produces a void element in the resulting list or matrix. For more information on empty elements, see page 131. Catalog > TI-Nspire™ Reference Guide 25

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TI-Nspire™ Reference Guide
25
CubicReg
Catalog >
CubicReg
X
,
Y
[
,
[
Freq
]
[
,
Category
,
Include
]]
Computes the cubic polynomial regression
y = a
·
x
3
+b
·
x
2
+c
·
x+d
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
·
x
3
+b
·
x
2
+c
·
x+d
stat.a, stat.b, stat.c,
stat.d
Regression coefficients
stat.R
2
Coefficient of determination
stat.Resid
Residuals from the regression
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
cumulativeSum()
Catalog >
cumulativeSum(
List1
)
⇒
list
Returns a list of the cumulative sums of the elements in
List1
,
starting at element 1.
cumulativeSum(
Matrix1
)
⇒
matrix
Returns a matrix of the cumulative sums of the elements in
Matrix1
.
Each element is the cumulative sum of the column from top to
bottom.
An empty (void) element in
List1
or
Matrix1
produces a void element
in the resulting list or matrix. For more information on empty
elements, see page 131.