Statistics With List Editor Application for the TI-89 and TI-92 Plus

8/12/2019 Statistics With List Editor Application for the TI-89 and TI-92 Plus

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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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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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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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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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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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Example: Entering the Data

list1

6 5 list1

list2

51 list2


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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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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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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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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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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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Example: Producing Another Residual Plot with the New Data

y1 ^

2


Plots 1:Plot Setup PlotSetup Plot 2

ZoomData Plot2


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Example: Producing Magnitudes of the Residuals

Trace

y


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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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Plot Setup

Example


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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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


list1, Calc 4:Probability. 6:.randNorm( .randNorm(

.randNorm(


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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


ZoomData Norm Prob Plot


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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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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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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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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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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


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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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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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



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 .



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List(

Description

List 2:Ops 7: List(

List(

List(

Example

list1={20,30,45,70}

list2

List 2:Ops. 7: List List( list1



The difference between element 1 and element 2 is 10; thedifference between element 2 and element 3 is 15, etc.


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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




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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



Beginning with the third element in list1, the two middleelements are 15 and 20.


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right(

Description

List 2:Ops B:right(

right( right(

right( )

Example

list2

B:right(

List 2 B List 2 B

right( list1

3



The 3 rightmost elements in list1 are 20, 25, 30.


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Math Menu

Description

List 3:Math

Math

Math Menu

min(

max(

mean(

median(

sum(

product(

stdDev(

variance(

stDevPop(

varPop(


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mean(

Description

List 3:Math 3:mean(

mean(

mean( )

Example

list1={1,3,8,11,15}

list2

List 3:Math 3:mean( mean( list1



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 .



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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



The median of the elements is 8.


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sum(

Description

List 3:Math 5:sum(

sum(

sum( )

Example

list1={1,2,3,4,5}

list2

List 3:Math 5:sum( sum( list1



The sum of the elements is 15


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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 ( ).



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 .



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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 ( ).



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 .



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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




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 .



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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




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 .



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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



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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Delete Item

Description

List 5:Delete Item

Delete Item

Example

list1={1,2,3,4,5,6}

list1

List 5:Delete Item




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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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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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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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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 ( ).



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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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2 Var Stats (continued)

Outputs for X List and Y List


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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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 ( ).



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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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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


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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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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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


Outputs


a,b a,b

r2

rsq r r

resid resid

RegEqn regeqn


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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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)



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MedMed (continued)

Example

list3={1,2,3,4,5} list4={2,4,5,8,11}

Calc 3:Regressions 3:MedMed MedMed



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QuadReg

Description

Calc 3:Regressions 4:QuadReg

QuadReg

Inputs

X List, Y List

Store RegEqn to

Freq List

(Freq) List

Category List List


Outputs


a,b,c a,b,c

R2 rsq

resid* resid

RegEqn regeqn


yout Y List


freqout xout yout

Results -> Editor YES

Tools 9:Format RegEqn Freq Category List Include Categories


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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



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CubicReg

Description

Calc 3:Regressions 5:CubicReg

CubicReg

Inputs

X List, Y List

Store RegEqn to

Freq List

(Freq) List

Category List List


Outputs


a,b,c,d a,b,c,d

R2 rsq

resid resid

RegEqn regeqn


yout Y List


freqout xout yout


Tools 9:Format RegEqn Freq Category List Include Categories


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CubicReg (continued)

Example

list1={1,2,3,4,5} list2={ 1,0,1,7,25}

Calc 3:Regressions 5:CubicReg CubicReg



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QuartReg

Description

Calc 3:Regressions 6:QuartReg

QuartReg

Inputs

X List, Y List

Store RegEqn to

Freq List

(Freq) List

Category List List


Outputs


a,b,c,d,e a,b,c,d,e

R2 rsq

resid resid

RegEqn regeqn


yout Y List


freqout xout yout


T

Documents

Statistics With List Editor Application for the TI-89 and TI-92 Plus