statistics with list editor application for the ti-89 and ti-92 plus
TRANSCRIPT
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Statistics with List Editor Applicationfor the TI 89 / TI 92 Plus
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Important
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Statistics with List Editor iii
Table of Contents
Getting Started: Read This First!
Running and Quitting Stats/List Editor .............................................................................................. 2Stats/List Editor CATALOG................................................................................................................. 3Stats/List Editor Screens..................................................................................................................... 4Example: Pendulum Lengths and Periods ........................................................................................ 5
Example: Entering the Data.......................................................................................................... 6Example: Plotting the Data ........................................................................................................... 7Example: Fitting a Line to the Data.............................................................................................. 8Example: Producing a Scatter Plot of the Residuals ................................................................. 9Example: Producing a Power Regression ................................................................................ 11Example: Producing Another Residual Plot with the New Data.............................................. 12Example: Producing Magnitudes of the Residuals .................................................................. 13Example: Making Predictions with the Model........................................................................... 14
Error Messages .................................................................................................................................. 15
List Editor
Using the List Editor .......................................................................................................................... 18Creating Lists ..................................................................................................................................... 20Removing Lists .................................................................................................................................. 21Editing a List Element........................................................................................................................ 23Formulas ............................................................................................................................................. 24
Tools Menu
Setup Editor........................................................................................................................................ 28Copy and Paste .................................................................................................................................. 29Clear a-z .............................................................................................................................................. 30
Clear Editor......................................................................................................................................... 31Format ................................................................................................................................................. 32About................................................................................................................................................... 33
Plots Menu
Plot Setup ........................................................................................................................................... 36Norm Prob Plot (Normal Probability Plot) ........................................................................................ 38PlotsOff (Plots Off) and FnOff (Functions Off) ................................................................................ 40
List Menu
Introduction ........................................................................................................................................ 42Names Menu ....................................................................................................................................... 43Ops (Operations) Menu ..................................................................................................................... 44
Sort List........................................................................................................................................ 45Sort List, Adjust All ..................................................................................................................... 46dim(............................................................................................................................................... 47Fill ................................................................................................................................................. 48seq( ............................................................................................................................................... 49cumSum( ...................................................................................................................................... 50
List( ............................................................................................................................................ 51
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Statistics with List Editor iv
List Menu (continued)
augment( ...................................................................................................................................... 52left(................................................................................................................................................ 53mid(............................................................................................................................................... 54right( ............................................................................................................................................. 55
Math Menu .......................................................................................................................................... 56min(............................................................................................................................................... 57max( .............................................................................................................................................. 58
mean(............................................................................................................................................ 59median(......................................................................................................................................... 60sum(.............................................................................................................................................. 61product( ........................................................................................................................................ 62stdDev( ......................................................................................................................................... 63variance(....................................................................................................................................... 64stDevPop(..................................................................................................................................... 65varPop( ......................................................................................................................................... 66
Attach List Formula ........................................................................................................................... 67Delete Item.......................................................................................................................................... 68
Calc MenuIntroduction ........................................................................................................................................ 701 Var Stats (One-Variable Statistics) ................................................................................................ 712 Var Stats (Two-Variable Statistics) ................................................................................................ 73Regressions Menu ............................................................................................................................. 76
LinReg(a+bx) ............................................................................................................................... 77LinReg(ax+b) ............................................................................................................................... 79MedMed ........................................................................................................................................ 81QuadReg ...................................................................................................................................... 83CubicReg...................................................................................................................................... 85QuartReg ...................................................................................................................................... 87LnReg ........................................................................................................................................... 89ExpReg ......................................................................................................................................... 91PowerReg..................................................................................................................................... 93Logist83........................................................................................................................................ 95Logistic ........................................................................................................................................ 97SinReg .......................................................................................................................................... 99MultReg ...................................................................................................................................... 101
Probability Menu .............................................................................................................................. 102rand83( ....................................................................................................................................... 103nPr( ............................................................................................................................................. 104nCr( ............................................................................................................................................. 105! (factorial) .................................................................................................................................. 106randInt( ....................................................................................................................................... 107
.randNorm( ................................................................................................................................. 108randBin(...................................................................................................................................... 109randSamp(.................................................................................................................................. 110rand( ........................................................................................................................................... 111RandSeed................................................................................................................................... 112
CorrMat (Correlation Matrix) ........................................................................................................... 113Show Stats........................................................................................................................................ 114
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Statistics with List Editor v
Distr (Distribution) Menu
Shade Menu ...................................................................................................................................... 116Shade Normal ............................................................................................................................ 117Shade t ....................................................................................................................................... 118Shade Chi-square ...................................................................................................................... 119Shade F ...................................................................................................................................... 120
Inverse Menu .................................................................................................................................... 121Inverse Normal .......................................................................................................................... 122
Inverse t...................................................................................................................................... 123Inverse Chi-square .................................................................................................................... 124Inverse F..................................................................................................................................... 125
Normal Pdf ........................................................................................................................................ 126Normal Cdf........................................................................................................................................ 128t Pdf ................................................................................................................................................... 129t Cdf ................................................................................................................................................... 131Chi-square Pdf.................................................................................................................................. 132Chi-square Cdf ................................................................................................................................. 133F Pdf .................................................................................................................................................. 134F Cdf .................................................................................................................................................. 135Binomial Pdf ..................................................................................................................................... 136
Binomial Cdf ..................................................................................................................................... 137Poisson Pdf ...................................................................................................................................... 137Poisson Cdf ...................................................................................................................................... 139Geometric Pdf................................................................................................................................... 140Geometric Cdf .................................................................................................................................. 141
Tests Menu
Z-Test ................................................................................................................................................ 144T-Test ................................................................................................................................................ 1462-SampZTest..................................................................................................................................... 1482-SampTTest..................................................................................................................................... 1511-PropZTest ...................................................................................................................................... 1542-PropZTest ...................................................................................................................................... 156Chi2 GOF .......................................................................................................................................... 158Chi2 2-way ........................................................................................................................................ 1602-SampFTest..................................................................................................................................... 163LinRegTTest ..................................................................................................................................... 165MultRegTests.................................................................................................................................... 168ANOVA .............................................................................................................................................. 171ANOVA2-Way.................................................................................................................................... 173
Ints (Intervals) Menu
ZInterval ............................................................................................................................................ 178TInterval ............................................................................................................................................ 1802-SampZInt........................................................................................................................................ 1822-SampTInt........................................................................................................................................ 1841-PropZInt ......................................................................................................................................... 1862-PropZInt ......................................................................................................................................... 188LinRegTInt ........................................................................................................................................ 190MultRegInt ........................................................................................................................................ 193
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Statistics with List Editor Getting Started 1
Getting Started: Read This First!
Running and Quitting Stats/List Editor .............................................................................................. 2Stats/List Editor CATALOG................................................................................................................. 3Stats/List Editor Screens..................................................................................................................... 4
Example: Pendulum Lengths and Periods ........................................................................................ 5Example: Entering the Data.......................................................................................................... 6Example: Plotting the Data ........................................................................................................... 7Example: Fitting a Line to the Data.............................................................................................. 8Example: Producing a Scatter Plot of the Residuals ................................................................. 9Example: Producing a Power Regression ................................................................................ 11Example: Producing Another Residual Plot with the New Data.............................................. 12Example: Producing Magnitudes of the Residuals .................................................................. 13Example: Making Predictions with the Model........................................................................... 14
Error Messages .................................................................................................................................. 15
Note: You must set your TI 89 / TI 92 Plus to the AUTO or APPROXIMATE mode when using the Stats/List Editor application.
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Statistics with List Editor Getting Started 2
Running and Quitting Stats/List Editor
Running Stats/List Editor
APPLICATIONS
1:FlashApps FLASH APPLICATIONS
Tip: Pressing from the Home screen of the TI 89 / TI 92 Plus will also display the FLASH APPLICATIONS menu.
Stats/List Editor.
Folder Selection for Statistics Application
Select Current Folder main
Note: The Select Current Folder option always displays the folder names 1:main and 2:statvars, but it displays other folders only if you have created them. The statvars folder is primarily used by the Stats/List Editor Application. It is recommended that you use the main folder, or a folder that you have created as your current folder. Refer to your TI 89 / TI 92 Plus Guidebook for more
information on creating, setting, and deleting folders.
Quitting Stats/List Editor
O APPLICATIONS
Tip: Press a to toggle between applications.
STATVARS
Tip: Press from anywhere on the calculator to open the VAR-LINK [All] menu.
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Statistics with List Editor Getting Started 3
Stats/List Editor CATALOG
Accessing the Flash Apps CATALOG
CATALOG Flash Apps CATALOG
Flash Apps CATALOG Flash Apps Flash Apps
CATALOG Flash Apps
Tip: To find an item in the CATALOG quickly, press the first letter in the item name. (You do not have to press first.) The cursor ( ) moves to the first item that begins with that letter. Use and to scroll the CATALOG until you find the item you are looking for.
Understanding the CATALOG Screen
Flash Apps CATALOG
binomCdf(...TIStat TIStat.binomCdf(
Flash Apps CATALOG with binomCdf( selected List editor with binomCdf( pasted to entry line
Syntax
CATALOG,
Tip: Press ( Help ) from the CATALOG to view the selected syntax statement at a larger size.
binomCdf
Notes: Always separate arguments with commas. Arguments in brackets are optional.
Function name (binomCdf)with application prefix(TIStat). Enter argumentshere.
Status line containingsyntax for binomCdf
Function name(binomCdf) withapplication (TIStat)identified
Status line containingsyntax for binomCdf
N = Number of trials
P = Probability of success
LOW = Lower limit
UP = Upper limit
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Statistics with List Editor Getting Started 4
Stats/List Editor Screens
Understanding the Stats/List Editor Screens
Note: All the screens used in this documentation were taken from the TI 89 calculator. The screens displayed on the TI 92 Plus are similar.
list editor menus dialog boxes
From the list editor screen, you can:
Store, display, and edit statistical input data in lists.
Perform statistical analyses and store results in output lists.
From menus you can access various statistical operations. For example,the F4 Calc menu lets you calculate:
One- or two-variable statistics.
Several types of regressions such as exponential, linear, and quadratic regressions.
In dialog boxes, you can view:
Prompts for data input. Data output of
statistical calculations.
System messages.
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Statistics with List Editor Getting Started 5
Example: Pendulum Lengths and Periods
Problem Setup
Length (cm) Time (sec)
List Editor Setup
1:Function FUNCTION
Tools 3:Setup Editor SetupEditor
Setup Editor Lists To View
list1 list6 1 6
Note: Removing lists from the list editor does not delete them from memory. However, clearing elements from lists does delete the elements permanently from memory.
list1 list2 list1
list1 list2
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Statistics with List Editor Getting Started 6
Example: Entering the Data
list1
6 5 list1
list2
51 list2
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Statistics with List Editor Getting Started 7
Example: Plotting the Data
Plots F2 Plots
F2 Plots 3:PlotsOff 4:FnOff
Plots 1:Plot Setup Plot Setup
Note: Your Plot Setup dialog box may not look exactly like the one shown here.
Plot 1 Define Define Plot 1
Scatter 1:Scatter
Cross 2:Cross +
x 2 VAR-LINK [All] . list1
list1 x
Note : If the contents of the MAIN folder are not displayed,highlight the MAIN folder and then press to expand it.
y 2 VAR-LINK [All] list2 list2 y
Use Freq and Categories? NO Use Freq and
Categories? NO.
Plot1
Tip: The key evaluates an expression, executes an instruction, or selects a menu item. When using the input examples in this guidebook
you may need to press more than once in order to calculate the results. Press once to save your information, and then press
again to close a dialog box.
ZoomData
Tip: To return to the list editor after graphing an equation or plotting data, press 2 .
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Statistics with List Editor Getting Started 8
Example: Fitting a Line to the Data
2
Calc 3:Regressions 1:LinReg(a+bx)
LinReg(a+bx)
Note: This example shows all dialog boxes with no lists stored.Your calculator screen may show prepopulated X List and Y List fields.
2 VAR-LINK [All] list1 list1 X List
Y List 2 VAR-LINK [All] list2
list2 Y List
Store RegEqn to y1(x)
RegEqn y1(x)
Freq Category List Include Categories LingReg(a+bx)
LinReg(a+bx) list1
list2 a b, r 2, r Y1
resid
Note: To prevent the resid list from being pasted to the end of the list editor, press 9:Format to display the FORMATS dialog box,Change the Results->Editor setting to NO, and then press .resid is stored in the STATVARS folder.
%
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Statistics with List Editor Getting Started 9
Example: Producing a Scatter Plot of the Residuals
2
list3
Name=
List 1:Names VAR-LINK [All] resid
STATVARS
Note: If the contents of the STATVARS folder are not displayed,highlight the STATVARS folder and press to expand it. You can then access resid.
resid
Note: Notice the path name in the entry line. If you paste a variable name that is not in the current folder, the variables path name is pasted as well.
resid
list1
list1
Plots 3:PlotsOff Plots 4:FnOff
Plots 1:Plot Setup PlotSetup
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Statistics with List Editor Getting Started 10
Example: Producing a Scatter Plot of the Residuals (continued)
Plot2 Define Define Plot 2
Scatter 1:Scatter
Box 1:Box Box
x 2 VAR-LINK [All] . list1 MAIN
list1 x
Note: If the contents of the MAIN folder are not displayed,highlight the MAIN folder, and then press to expand it.
y 2 VAR-LINK [All] resid
STATVARS
Tip: If the MAIN folder is expanded, highlight MAIN, and then press to collapse the folder. You then have easy access to the STATVARS folder. Additionally, you can type a letter to scroll through a list. If there are any variable names that start with that letter, the cursor moves to highlight the first of those variable names.
statvars/resid y
Note: If you paste a variable name that is not in the current folder,the variables pathname is pasted as well.
Use Freq and Categories? NO.
Plot2
ZoomData Plot2
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Statistics with List Editor Getting Started 11
Example: Producing a Power Regression
2
Plots 1:Plot Setup Plot Setup Plot 1
Plot 2
ZoomData
Plot1
2
Calc 3:Regressions 9:PowerReg PowerReg X List
Y List list1list2
a b r2
r PowerReg Y1
resid resid
residt
Note: If the Results->Editor option in the ( Formats ) dialog box is set to ON , resid and residt are pasted to the end of the list editor.
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Statistics with List Editor Getting Started 12
Example: Producing Another Residual Plot with the New Data
y1 ^
2
Plots 3:PlotsOff Plots 4:FnOff
Plots 1:Plot Setup PlotSetup Plot 2
ZoomData Plot2
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Statistics with List Editor Getting Started 13
Example: Producing Magnitudes of the Residuals
Trace
y
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Statistics with List Editor Getting Started 14
Example: Making Predictions with the Model
"
VAR-LINK [All] y1
Note: If the contents of the MAIN folder are not displayed,highlight the MAIN folder, and then press to expand it. You can then access y1.
y1(
20
5
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Statistics with List Editor Getting Started 15
Error Messages
Error message Description
Problem accessingconfiguration file, zzconfig,in your current folder.Variable is locked, protected,archived, or corrupted.
zzconfig
zzconfig
zzconfig Manage
1:Delete VAR-LINK
Problem accessingSTATVARS\\shostat. Pleasedelete the variable.
shostat Calc
shostat STATVARS shostat Manage
1:Delete VAR-LINK
All plot numbers are in use.Clear unnecessary plots.
Plots
1:Plot Setup
Plot Setup Clear
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Statistics with List Editor List Editor 17
List Editor
Using the List Editor .......................................................................................................................... 18Creating Lists ..................................................................................................................................... 20Removing Lists .................................................................................................................................. 21
Editing a List Element........................................................................................................................ 23Formulas ............................................................................................................................................. 24
List Menu
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Statistics with List Editor List Editor 18
Using the List Editor
The List Editor Screen
list1 list6
list1 list6 1 6
Moving Around the List Editor Screen
...
To:On the TI-89Press:
On the TI-92 PlusPress:
INS INS
List name: list2
Position of current ( highlighted)list element in the list: 3
Full value of current (highlighted) list
element: 45
Entry line contains the currentlyhighlighted list name and element. Current column: 1
Number of open lists: 6Status line
List elements aredisplayed here.
List names are displayed here.
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Statistics with List Editor List Editor 19
Using the List Editor (Continued)
Switching List Editor Contexts
INS
The new list name cell is highlighted. The Name= prompt is displayed in theentry line. You may enter a list name.
The list name is highlighted. Press and to view list names currentlystored in other list editor columns.
The list name is still highlighted. The elements of the list are alsohighlighted in the entry line. You may edit any element in a list.
The first element of t he list is highlighted. Press , , , and toview other list elements. The current elements full value is displayed inthe entry line.
The element is highlighted in the entry line. You may edit the current elementin the entry line.
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Statistics with List Editor List Editor 20
Creating Lists
Creating a New List in the List Editor
Name=
Name=
Tip: After moving the cursor onto a list name, press to move to the rightmost list in the list editor.
List 1:Names VAR-LINK [ALL]
Name=
AB22 Ab22aB22 ab22
abs
LineVert xmin xmax
Name=
abc abc
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Statistics with List Editor List Editor 21
Removing Lists
Removing a List Only from the List Editor
.
Note: The list is not deleted from memory; it is only removed from the list editor.
Removing a List from the List Editor and from Calculator Memory
VAR-LINK [All]
VAR-LINK [All] list1
Manage 1:Delete VAR-LINK list1)
DelVar
" DelVar CATALOG
D D
DelVar DelVar
2 VAR-LINK [All] . list1 list1
list1
Note: If you archive a list, the Stats/List Editor lets you open and view the list. You cannot store values to this archived list. You must unarchive an archived list before you can delete it.
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Statistics with List Editor List Editor 22
Removing Lists (continued)
Removing All Lists and Restoring list1 through list6
list1 list6 1 6:
Tools 3:Setup Editor Setup Editor Setup Editor Lists To View
Note: Resetting the TI 89 / TI 92 Plus memory deletes all lists from memory.
Clearing Elements from a List
list1
list1 5
clrList(
"
clrList( Flash Apps List C List C
clrList( clrList( list1
Note: TIStat.clrlist(list1) and the Done message are displayed when the list is cleared.
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Statistics with List Editor List Editor 23
Editing a List Element
Example
Tip: If you want to replace the current value, you can enter a new value without first pressing
. When you enter the first character, the current value is cleared automatically.
Note: To cancel any editing and restore the original element at the rectangular cursor, press N .
Note: You can enter expressions (as shown above) and variables for list elements, but they must resolve to a single value.
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Statistics with List Editor List Editor 24
Formulas
Attaching a Formula to a List Name
Note: To view a formula that is attached to a list name, highlight the name of the list to which a formula is attached. The list will have an attached formula symbol ( ) next to the name.
Example
list1={1,2,3,4,5,6}
Note: If a formula in quotation marks is displayed on the entry line, a formula is already attached to the list name. To edit the formula, press , and then edit the formula in the entry line, or press to use the Attach List Formula dialog box.
List 4:Attach List Formula. Attach List Formula list2 List list1+10
Formula
Formula Name
Note: The calculator chooses z plus the list name as the default formula variable name. It is recommended that you accept this default naming convention. If you want to reattach this formula the
calculator will only prompt for this default variable. Do not use preassigned system variable names.
The calculatorcalculates eachelement according tothe formula (list1+10)and stores it to thetarget list (list2).
The after the listname indicates thata formula isattached. Highlight the list name
(list2) to view the listname and formula inquotes in the entry line.
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Statistics with List Editor List Editor 25
Formulas (Continued)
Using Formula-Generated Lists
1 list1
10
Tip: This lag time in editing entries can be avoided by pressing and setting Auto-calculate to NO.
Using a Formula without Attaching It to a List
list2 list2
list1+10 list2
Note: The target list will not have the attach symbol ( ), and the formula (or expression) used to calculate the target list will not be in quotation marks.
Note: When you use a formula (or expression) to generate or update a list, the resulting calculations must resolve to a list.
Since the formula (list1+10)attached to list2 is based on list1,when element 1 in list1 changes,element 1 in list2 also changes.
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Statistics with List Editor List Editor 26
Formulas (Continued)
Handling Errors Resulting from Attached Formulas
Data type
Data type
List 4:Attach List Formula
Tip: If an error message is returned when you attempt to display a formula-generated list in the list
editor, press . Then edit the formula: 1) highlight the list name with the attached formula,2) press , and 3) edit the formula in the entry line, or, press again and use the Attached List Formula dialog box to edit the formula.
Detaching a Formula from a List Name
list2
13 list2 26
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Statistics with List Editor Tools Menu 27
Tools Menu
Setup Editor........................................................................................................................................ 28Copy and Paste .................................................................................................................................. 29Clear a-z .............................................................................................................................................. 30
Clear Editor......................................................................................................................................... 31Format ................................................................................................................................................. 32About................................................................................................................................................... 33
Tools Copy Paste
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Statistics with List Editor Tools Menu 28
Setup Editor
Description
Tools 3:Setup Editor
Setup Editor
Note: If you enter a list name that is not already stored in memory, the list name is created and stored in memory; it becomes an item on the VAR-LINK [All] menu. Press (List) and select 1:Names to
access this menu.
Example
Tools 3:Setup Editor Setup Editor
list2,list3 Lists To View
Tip: You can press , highlight a list name, and then press to paste a list name into this field. Be sure to separate the arguments with a comma ( ).
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Statistics with List Editor Tools Menu 29
Copy and Paste
Description
Tools 5:Copy 6:Paste
Copy Copy
Paste
Note: When copying information to the clipboard, hold and press or to highlight characters to the left or right of the cursor.
Example
list1
Tools 5:Copy list1
list2
Tools 6:Paste list1 list2
TI 89 Tip: You can press to copy or to paste without having to use the toolbar menu.
TI 92 Plus Tip: You can press C to copy or V to paste without having to use the toolbar menu.
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Statistics with List Editor Tools Menu 30
Clear a-z
Description
Tools 7:Clear a-z
Clear a-z
solve(a x +b x+c=0,x)
Note: If variables have already been assigned a value, the calculation may produce misleading results. To prevent this, select 1:Clear az before starting the calculation.
Tip: You can make sure that a variable you want to keep is not inadvertently deleted by 7:Clear a-z.Simply name any variable that you want to retain using multiple characters.
Example
Tools 7:Clear a-z Clear a-z
Note: You cannot use the Clear a-z command in a program; instead, use the DelVar command.
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Statistics with List Editor Tools Menu 31
Clear Editor
Description
Tools 8:Clear Editor
Clear Editor Clear Editor
Example
Tools 8:Clear Editor
Note: You can restore list1, list2, and list3 using Setup Editor.
1. Press (Tools) and select 3:Setup Editor. The Setup Editor dialog box is displayed.
2. Enter the list names you want to display. Be sure to separate each list name with a comma.
3. Press to restore the specified lists.
Note: The Clear Editor command is not available under the CATALOG. In programs, you must use SetupEd, ClrList, or DelVar commands.
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Statistics with List Editor Tools Menu 32
Format
Description
Tools 9:Format
Format
Settings
Show Initial Dialog(YES, NO)
Show Initial Dialog YES
Show Path Names(YES, NO)
Show Path Names Show Path Names No
Results Editor(YES, NO)
Results Editor YES
Auto-Calculate(YES, NO)
Auto-calculate Auto-calculate YES
Auto-calculate YES
Auto-calculate YES
Example
Tools 9:Format FORMATS
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Statistics with List Editor Tools Menu 33
About
Description
Tools A:About
About N
Example
Tools A Tools A
Note : The About dialog box will not look exactly like the one shown here.
http://www.ti.com/calchttp://www.ti.com/calc -
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Statistics with List Editor Plots Menu 35
Plots Menu
Plot Setup ........................................................................................................................................... 36Norm Prob Plot (Normal Probability Plot) ........................................................................................ 38PlotsOff (Plots Off) and FnOff (Functions Off) ................................................................................ 40
Plots
Note: This chapter assumes that you know how to create lists using the Stats/List Editor application. If necessary, review the information on creating lists in the Lists and List Menu chapters in this user
guide.
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Statistics with List Editor Plots Menu 36
Plot Setup
Description
Plots 1:Plot Setup
Plot Setup
Plot Setup Menu
Plot Setup Define Copy Clear (Select) ZoomData
Define
Copy
Clear
(Select)
ZoomData
Note: See Chapter 16 of the TI 89 / TI 92 Plus Guidebook for more information.
Defining a Plot Using Define
Plots 1:Plot Setup Define
Plot Setup Scatter xyline Box Plot HistogramModified Box Plot
Plot Type Scatter xyline Box Plot Histogram, ModBox Plot
Mark Box Cross Plus
Square Dot
x list1 list2
y Plot Type = Scatter xyline
Hist. Bucket Width
Use Freq and Categories? NO YES Freq Category Include Categories Use Freq and Categories? = YES Freq Plot Type =
Box Plot, Histogram Mod Box Plot
Freq
Category
Include Categories Category 1,4
1 4
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Statistics with List Editor Plots Menu 37
Plot Setup
Example
Plots 1:Plot Setup Plot Setup
Define
Note: On the calculator, items are active only if they are valid for the current settings of Plot Type and Use Freq and Categories?
Note: The Stats/List Editor lets you paste a list into either the X value or Y value field. Press , highlight a list, and then press to paste a list name into the field.
Plot Setup
Note: The Stats/List Editor displays the (ZoomData) in the Plot Setup menu. Selecting (ZoomData) lets you set the viewing window to display all statistical data points without having
to access this function in the Y= Editor, Window Editor, or Graph Screen.
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Statistics with List Editor Plots Menu 38
Norm Prob Plot (Normal Probability Plot)
Description
Plots 2:Norm Prob Plot
Norm Prob Plot X z
Plot Number (Plot 1...9)
List List
Data Axis X Y Data Axis
X Y
Mark Mark Box Cross Plus Square Dot
Store Zscores to zscores
Example
.randNorm Calc
randNorm( )
list1 Norm Prob Plot X z
Plots 3:PlotsOff Plots 4:FnOff
list1, Calc 4:Probability. 6:.randNorm( .randNorm(
.randNorm(
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Statistics with List Editor Plots Menu 39
Norm Prob Plot (Normal Probability Plot) (continued)
Example (continued)
Plots 2:Norm Prob Plot Norm Prob Plot
Note: Use the default list variable name in the Store Zscores to input box. The statvars/zscores variable name is truncated in the screenshot above.
zscores
Plots 1:Plot Setup Plot Setup
ZoomData Norm Prob Plot
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Statistics with List Editor Plots Menu 40
PlotsOff (Plots Off) and FnOff (Functions Off)
Description
PlotsOff
Plots 3:PlotsOff
PlotsOff
FnOff
Plots 4:FnOff
Examples
PlotsOff
Plots 3:PlotsOff
FnOff
Plots 4:FnOff
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Statistics with List Editor List Menu 42
Introduction
Entering Arguments for Functions and Commands
nCr(
nCr(
SinReg
Inputs Outputs
Using the CATALOG to Access Functions and Commands
CATALOG
CATALOG
Syntax for Input:nCr( EXPR1 ,EXPR2 )
SinReg input dialog box
Output: LIS
SinReg output dialog box
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Statistics with List Editor List Menu 43
Names Menu
Description
List 1:Names
Names VAR-LINK [All]
VAR-LINK [All]
Example
List 1:Names
Note: When you select 1:Names from the (List) menu, only list names are displayed, but when you press , all variable types, including lists, are displayed.
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Statistics with List Editor List Menu 46
Sort List, Adjust All
Description
List 2:Ops 2:Sort List, Adjust All
Sort List, Adjust All Sort List Key List
Example
list1={5,10,15,20,25,30} list2={35,40,45,50,55,60}
list2
List 2:Ops. 2:Sort List, Adjust All. Sort List, Adjust All list2),
Key List Sort Order Descending
Key List
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Statistics with List Editor List Menu 47
dim(
Description
List 2:Ops 3:dim(
dim(
dim(
Example
list1={1,3,7,2,8}
list2
List 2:Ops. 3:dim(. dim( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
The dimension of list1 is 5.
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Statistics with List Editor List Menu 48
Fill
Description
List 2:Ops 4:Fill
Fill List Value Fill
Example
list1={1,2,3,4,5,6}
1
List 2:Ops. 4:Fill Fill list1 List 1.01 Value
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
All of the elements in list1 are replacedwith the fill value 1.01
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Statistics with List Editor List Menu 49
seq(
Description
List 2:Ops 5:seq(
seq( seq(
seq( [, ])
Example
list1
List 2:Ops. 5:seq( seq( seq(
Note: To generate a decimal approximation of list1,press for step 3. To generate a decimal approximation for a single-element value, move the cursor to the fraction for which you want the approximate decimal, press to highlight it on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
EXPR = 1/x
VAR = x
LOW = 1HIGH = 10
STEP = 2
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Statistics with List Editor List Menu 50
cumSum(
Description
List 2:Ops 6:cumSum(
cumSum(
cumSum(
Example
list1={1,1/3,1/5,1/7,1/9}
list2
List 2:Ops. 6:cumSum( cumSum( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation of list1, press for step 3. To generate a decimal approximation for a single-element value,move the cursor to the fraction for which you want the approximate decimal, press to highlight it on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 51
List(
Description
List 2:Ops 7: List(
List(
List(
Example
list1={20,30,45,70}
list2
List 2:Ops. 7: List List( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
The difference between element 1 and element 2 is 10; thedifference between element 2 and element 3 is 15, etc.
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Statistics with List Editor List Menu 52
augment(
Description
List 2:Ops 8:augment(
augment(
augment( )
Example
list1={1,2,3} list2={4,5,6}
list3
List 2:Ops. 8:augment( augment( list1 list2
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
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Statistics with List Editor List Menu 54
mid(
Description
List 2:Ops A:mid(
mid( mid(
mid(
mid(
Example
list2
A:mid(
List 2 A List 2 A
mid( list1 2 3
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Beginning with the third element in list1, the two middleelements are 15 and 20.
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Statistics with List Editor List Menu 55
right(
Description
List 2:Ops B:right(
right( right(
right( )
Example
list2
B:right(
List 2 B List 2 B
right( list1
3
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
The 3 rightmost elements in list1 are 20, 25, 30.
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Statistics with List Editor List Menu 56
Math Menu
Description
List 3:Math
Math
Math Menu
min(
max(
mean(
median(
sum(
product(
stdDev(
variance(
stDevPop(
varPop(
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Statistics with List Editor List Menu 59
mean(
Description
List 3:Math 3:mean(
mean(
mean( )
Example
list1={1,3,8,11,15}
list2
List 3:Math 3:mean( mean( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation press for step 3. To generate a decimal
approximation for a single-element value, move the cursor to the fraction for which you want the approximate decimal, press to highlight it on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 60
median(
Description
List 3:Math 4:median(
median(
median( ) Note: All entries in LIST1 must simplify to numbers.
Example
list1={1,3,8,11,15}
list2
List 3:Math 4:median(. median( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
The median of the elements is 8.
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Statistics with List Editor List Menu 61
sum(
Description
List 3:Math 5:sum(
sum(
sum( )
Example
list1={1,2,3,4,5}
list2
List 3:Math 5:sum( sum( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
The sum of the elements is 15
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Statistics with List Editor List Menu 63
stdDev(
Description
List 3:Math 7:stdDev(
stdDev(
stdDev( ) stdDev( stDevPop(
StdDev( n-1, stDevPop( n
Note: LIST1 must have at least two elements.
Example
list1={1,2,3,4,5,6}
list2
List 3:Math. 7:stdDev. stdDev( list1
Tip: You can press , highlight a list,and then press to paste the list name into
the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation press for step 3. To generate a decimal
approximation for a single-element value, move the cursor to the fraction for which you want the approximate decimal, press to highlight it
on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 64
variance(
Description
List 3:Math 8:variance(
variance(
variance( ) variance( varPop(
variance( n-1, varPop( n
Note: LIST1 must contain at least two elements
Example
list1={1,2,3, 6,3, 2}
list2
List 3:Math 8:variance( variance( list1
Tip: You can press , highlight a list,and then press to paste the list name into
the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation press for step 3. To generate a decimal
approximation for a single-element value, move the cursor to the fraction for which you want the approximate decimal, press to highlight it
on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 65
stDevPop(
Description
List 3:Math 9:stDevPop(
stDevPop(
stDevPop( )
stDevPop( stdDev( stDevPop( n StdDev( n-1
Note : LIST1 must have at least two elements.
Example
list1={1,2,3, 6,3, 2}
list2
List 3:Math 9:stDevPop(. stDevPop( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation press for step 3. To generate a decimal
approximation for a single-element value, move the
cursor to the fraction for which you want the approximate decimal, press to highlight it on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 66
varPop(
Description
List 3:Math A:varPop(
varPop(
varPop( )
varPop( variance( varPop( n variance( n-1
Note: LIST1 must contain at least two elements
Example
list1={5,10,15,20,25,30}
list2
A:varPop( List 3 A
List 3 A
varPop( list1
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
Note: To generate a decimal approximation press for step 3. To generate a decimal
approximation for a single-element value, move the cursor to the fraction for which you want the approximate decimal, press to highlight it on the entry line, and then press .
You can also set the calculator to APPROXIMATE mode. (Press and then set Exact/Approx to APPROXIMATE.)
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Statistics with List Editor List Menu 67
Attach List Formula
Description
List 4:Attach List Formula
Attach List Formula
Example
list1={1,2,3,4,5,6}
list2
List 4:Attach List Formula list1 + 10 zlist2
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
list2 list1+10
list2 list2=list1+10
list2
list2 list2 list1+10 list2 list1
Note: In this case, the formula will not be in quotation marks in the entry line, and the lock symbol ( ) will not display next to list2.
The square symbol next to the listname means that the formula isattached. If list1 changes, list2 isupdated.
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Statistics with List Editor List Menu 68
Delete Item
Description
List 5:Delete Item
Delete Item
Example
list1={1,2,3,4,5,6}
list1
List 5:Delete Item
Tip: You can press , highlight a list,and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
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Statistics with List Editor Calc Menu 69
Calc Menu
Introduction ........................................................................................................................................ 701 Var Stats (One-Variable Statistics) ................................................................................................ 712 Var Stats (Two-Variable Statistics) ................................................................................................ 73
Regressions Menu ............................................................................................................................. 76LinReg(a+bx) ............................................................................................................................... 77LinReg(ax+b) ............................................................................................................................... 79MedMed ........................................................................................................................................ 81QuadReg ...................................................................................................................................... 83CubicReg...................................................................................................................................... 85QuartReg ...................................................................................................................................... 87LnReg ........................................................................................................................................... 89ExpReg ......................................................................................................................................... 91PowerReg..................................................................................................................................... 93Logist83........................................................................................................................................ 95Logistic ........................................................................................................................................ 97SinReg .......................................................................................................................................... 99MultReg ...................................................................................................................................... 101
Probability Menu .............................................................................................................................. 102rand83( ....................................................................................................................................... 103nPr( ............................................................................................................................................. 104nCr( ............................................................................................................................................. 105! (factorial) .................................................................................................................................. 106randInt( ....................................................................................................................................... 107.randNorm( ................................................................................................................................. 108randBin(...................................................................................................................................... 109randSamp(.................................................................................................................................. 110rand( ........................................................................................................................................... 111RandSeed................................................................................................................................... 112
CorrMat (Correlation Matrix) ........................................................................................................... 113Show Stats........................................................................................................................................ 114
Calc
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Statistics with List Editor Calc Menu 70
Introduction
Entering Arguments for Functions and Commands
nCr(
nCr(
SinReg
Inputs Outputs
Using the CATALOG to Access Functions and Commands
CATALOG
CATALOG
Syntax for Input:nCr( EXPR1 ,EXPR2 )
SinReg input dialog box
Output: LIS
SinReg output dialog box
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Statistics with List Editor Calc Menu 71
1 Var Stats (One-Variable Statistics)
Description
Calc 1:1-Var Stats
1 Var Stats
Inputs
List
Freq List List
Freq
List
Category List * List
Include Categories * Category List
Tip: In any field that requires a list, such as List, Freq, Category List, Include Categories, etc., you can enter a list name or the list elements themselves. To enter the list elements in the field, simply key in the elements inside the pair of braces ( {} ) in the field.
Outputs for List
mat1var STATVARS mat1var c1 x etc.) c2
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Statistics with List Editor Calc Menu 72
1-Var Stats (continued)
Outputs Stored to Description
x_bar
x sumx
x2 sumx2 2
Sx sx_
x x
n n
MinX min_x
Q1X q1_x
MedX med_x
Q3X q3_x
MaxX max_x
(x- )2 ssdevx
Example
list1={1,2,3}
Calc 1:1-Var Stats 1-Var Stats
Tip: You can press , highlight a list, and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
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Statistics with List Editor Calc Menu 73
2 Var Stats (Two-Variable Statistics)
Description
Calc 2:2-Var Stats
2 Var Stats
Inputs
X List
Y List
Freq List
Category List
Include Categories Category List
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Statistics with List Editor Calc Menu 74
2 Var Stats (continued)
Outputs for X List and Y List
Outputs Stored to Description
x_bar
x sumx
x2 sumx2
Sx sx_
x x
n n
y_bar
y sumy
y2 sumy2
Sy sy_
y sigmay
xy sumxy
MinX min_x
Q1X q1_x
MedX med_x
Q3X q3_x
MaxX max_x
MinY min_y
Q1Y q1_y
MedY med_y Q3Y q3_y
MaxY max_y
(x- )2 ssdevx
(y- )2 ssdevy
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Statistics with List Editor Calc Menu 75
2 Var Stats (continued)
Example
list1={1,2,3} list2={4,5,6}
Calc 2:2-Var Stats 2-Var Stats
Tip: You can press , highlight a list, and then press to paste the list name into the list editor. Be sure to close arguments with a right parenthesis ( ).
You can also press (List) and select 1:Names to display the VAR-LINK [All] menu.
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Statistics with List Editor Calc Menu 76
Regressions Menu
Description
Calc 3:Regressions
Regressions
LinReg(a+bx)linear regression
LinReg(ax+b)linear regression
MedMedmedian-median
QuadRegquadratic regression
CubicRegcubic regression
QuartRegquartic regression
LnReglogarithmic regression
ExpRegexponential regression
PowerRegpower regression
Logist83
Logisticlogistic regression
SinRegsinusoidal regression
MultRegmultiple regression
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Statistics with List Editor Calc Menu 77
LinReg(a+bx)
Description
Calc 3:Regressions 1:LinReg(a+bx)
LinReg(a+bx)
Inputs
X List, Y List
Store RegEqn to
Freq List
(Freq) List
Category List List
Include Categories List
Note: For more information on using Freq, Category List, and Include Categories inputs, see the example Studying Statistics: Filtering Data by Categories in the Applications chapter of the TI 89 or TI 92 Plus guidebook.
Outputs
Outputs Stored to Description
a,b a,b
r2 rsq
r r
resid resid
RegEqn regeqn
xout X List Freq Category List Include Categories
yout Y List Freq Category List Include Categories
freqout xout yout
Results -> Editor YES Tools 9:Format
RegEqn Freq Category List Include Categories
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Statistics with List Editor Calc Menu 78
LinReg(a+bx) (continued)
Example
list3={1,2,3,4, 5} list4={2,4,5,8,11}
Calc 3:Regressions 1:LinReg(a+bx) LinReg(a+bx)
Note: You do not have to specify a Freq (frequency list), Category List, Include Categories list, or Store RegEqn to function.
Note: When the Results->Editor option is YES (located in (Tools) 9:Format), the residuals (resid)list is pasted to the end of the list editor after you close the output dialog box. To prevent the resid list from being pasted to the end of the list editor, press (Tools) and select 9:Format to display the FORMATS dialog box. Change the Results->Editor setting to NO and press .
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Statistics with List Editor Calc Menu 79
LinReg(ax+b)
Description
Calc 3:Regressions 2:LinReg(ax+b)
LinReg(ax+b)
Inputs
X List, Y List
Store RegEqn to
Freq List
(Freq) List
Category List List
Include Categories List
Outputs
Outputs Stored to Description
a,b a,b
r2
rsq r r
resid resid
RegEqn regeqn
xout X List Freq Category List Include Categories
yout Y List
Freq Category List Include Categories
freqout xout yout
Results -> Editor YES Tools 9:Format
RegEqn Freq Category List Include Categories
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Statistics with List Editor Calc Menu 80
LinReg(ax+b) (continued)
Example
list3={1,2,3,4,5} list4={2,4,5,8,11}
Calc 3:Regressions 2:LinReg(ax+b) LinReg(ax+b)
Note: When the Results->Editor option is YES (located in (Tools) 9:Format), the residuals (resid)list is pasted to the end of the list editor after you close the output dialog box. To prevent the resid list from being pasted to the end of the list editor, press (Tools) and select 9:Format to display the FORMATS dialog box. Change the Results->Editor setting to NO and press .
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Statistics with List Editor Calc Menu 82
MedMed (continued)
Example
list3={1,2,3,4,5} list4={2,4,5,8,11}
Calc 3:Regressions 3:MedMed MedMed
Note: When the Results->Editor option is YES (located in (Tools) 9:Format), the residuals (resid)list is pasted to the end of the list editor after you close the output dialog box. To prevent the resid list from being pasted to the end of the list editor, press (Tools) and select 9:Format to display the FORMATS dialog box. Change the Results->Editor setting to NO and press .
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Statistics with List Editor Calc Menu 83
QuadReg
Description
Calc 3:Regressions 4:QuadReg
QuadReg
Inputs
X List, Y List
Store RegEqn to
Freq List
(Freq) List
Category List List
Include Categories List
Outputs
Outputs Stored to Description
a,b,c a,b,c
R2 rsq
resid* resid
RegEqn regeqn
xout X List Freq Category List Include Categories
yout Y List
Freq Category List Include Categories
freqout xout yout
Results -> Editor YES
Tools 9:Format RegEqn Freq Category List Include Categories
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Statistics with List Editor Calc Menu 84
QuadReg (continued)
Example
list1={ 2, 1,0,1,2} list2={18.2,3.5,0,3.9,16.1}
Calc 3:Regressions 4:QuadReg QuadReg
Note: When the Results->Editor option is YES (located in (Tools) 9:Format), the residuals (resid)list is pasted to the end of the list editor after you close the output dialog box. To prevent the resid list from being pasted to the end of the list editor, press (Tools) and select 9:Format to display the FORMATS dialog box. Change the Results->Editor setting to NO and press .
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Statistics with List Editor Calc Menu 85
CubicReg
Description
Calc 3:Regressions 5:CubicReg
CubicReg
Inputs
X List, Y List
Store RegEqn to
Freq List
(Freq) List
Category List List
Include Categories List
Outputs
Outputs Stored to Description
a,b,c,d a,b,c,d
R2 rsq
resid resid
RegEqn regeqn
xout X List Freq Category List Include Categories
yout Y List
Freq Category List Include Categories
freqout xout yout
Results -> Editor YES
Tools 9:Format RegEqn Freq Category List Include Categories
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Statistics with List Editor Calc Menu 86
CubicReg (continued)
Example
list1={1,2,3,4,5} list2={ 1,0,1,7,25}
Calc 3:Regressions 5:CubicReg CubicReg
Note: When the Results->Editor option is YES (located in (Tools) 9:Format), the residuals (resid)list is pasted to the end of the list editor after you close the output dialog box. To prevent the resid list from being pasted to the end of the list editor, press (Tools) and select 9:Format to display the FORMATS dialog box. Change the Results->Editor setting to NO and press .
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Statistics with List Editor Calc Menu 87
QuartReg
Description
Calc 3:Regressions 6:QuartReg
QuartReg
Inputs
X List, Y List
Store RegEqn to
Freq List
(Freq) List
Category List List
Include Categories List
Outputs
Outputs Stored to Description
a,b,c,d,e a,b,c,d,e
R2 rsq
resid resid
RegEqn regeqn
xout X List Freq Category List Include Categories
yout Y List
Freq Category List Include Categories
freqout xout yout
Results -> Editor YES
T