Texas instruments TI-89, VOYAGE 200 Statistics with List Editor

TI-89 / TI-92 Plus / Voyage™ 200 Statistics with List Editor

Important Information Where to Find Install ation Instructions

How to contact Support and Service License Agreement

Table of Contents

The Statistics with List Editor application (Stats/List Editor) adds inferential and more advanced statistics functionality to the TI-89 / TI-92 Plus / Voyage™ 200 PLT through an easy-to-use list editor interface.

The Stats/List Editor is really two application in one. The list editor provides a means for viewing, editing, and working with data lists. The Statistics portion of the application provides basic inferential and advanced statistics functionality. The two work together to let you view and perform statistical analyses on data lists.

Important Information

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This graphing product application ( APP) is licensed. See t he t er m s of the license

agreement.

Where to Find Ins tallation I nstructions

You can find detailed instructions on installing Flash applications at

education.ti.com/guides

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your local Texas Instruments retailer/d ist r ibutor.

End-User License Agreement

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Getting Started: Read This First!

Running and Quitting Stats/List Editor................................................................................................2

Stats/List Editor CATALOG .................................................................................................................. 3

Stats/List Editor Screens......................................................................................................................4

Example: Pendulum Lengths and Periods..........................................................................................5

Example: Entering the Data...........................................................................................................6

Example: Plotting the Data............................................................................................................7

Example: Fitting a Line to the Data...............................................................................................8

Example: Producing a Scatter Plot of the Residuals ..................................................................9

Example: Producing a Power Regression..................................................................................11

Example: Producing Another Residual Plot with the New Data...............................................12

Example: Producing Magnitudes of the Residuals....................................................................13

Example: Making Predictions with the Model............................................................................14

Error Messages....................................................................................................................................15

List Editor

Using the List Editor............................................................................................................................ 18

Creating Lists.......................................................................................................................................20

Removing Lists....................................................................................................................................21

Editing a List Element.........................................................................................................................23

Formulas .............................................................................................................................................. 24

ƒ Tools Menu

Setup Editor ............................................. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 28

Copy and Paste....................................................................................................................................29

Clear a-z............................................................................. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 30

Clear Editor ................................................ ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 31

Format .................................................................................................................................................. 32

About ....................................................................................................................................................33

„ Plots Menu

Plot Setup..................................................................................................... .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 36

Norm Prob Plot (Normal Probability Plot).........................................................................................38

PlotsOff (Plots Off) and FnOff (Functions Off)..................................................................................40

… List Menu

Introduction..........................................................................................................................................42

Names Menu ........................................................................................................................................ 43

Ops (Operations) Menu.......................................................................................................................44

Sort List.........................................................................................................................................45

Sort List, Adjust All.......................................................................................................................46

dim(................................................................................................................................................47

Fill...................................................................................................................................................48

seq( ................................................................................................................................................ 49

cumSum( ....................................................................................................................................... 50

@List(.............................................................................................................................................. 51

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App iv

… List Menu (continued)

augment(........................................................................................................................................52

left(.................................................................................................................................................53

mid(................................................................................................................................................54

right(...............................................................................................................................................55

Math Menu.................................................................................................. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 56

min(................................................................................................................................................57

max( ...............................................................................................................................................58

mean(.............................................................................................................................................59

median(.......................................................................................................................................... 60

sum(...............................................................................................................................................61

product(.........................................................................................................................................62

stdDev(...........................................................................................................................................63

variance(........................................................................................................................................64

stDevPop(...................................................................................................................................... 65

varPop( .......................................................................................................................................... 66

Attach List Formula................................................................................. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 67

Delete Item ........................................................................................................................................... 68

† Calc Menu

Introduction..........................................................................................................................................70

1.Var Stats (One-Variable Statistics).................................................................................................71

2.Var Stats (Two-Variable Statistics).................................................................................................73

Regressions Menu...............................................................................................................................76

LinReg(a+bx).................................................................................................................................77

LinReg(ax+b).................................................................................................................................79

MedMed .........................................................................................................................................81

QuadReg........................................................................................................................................83

CubicReg....................................................................................................................................... 85

QuartReg ....................................................................................................................................... 87

LnReg.............................................................................................................................................89

ExpReg .......................................................................................................................................... 91

PowerReg ......................................................................................................................................93

Logist83......................................................................................................................................... 95

Logistic.......................................................................................................................................... 97

SinReg ........................................................................................................................................... 99

MultReg........................................................................................................................................101

Probability Menu................................................................................................................................102

rand83(.........................................................................................................................................103

nPr(...............................................................................................................................................104

nCr( .............................................................................................................................................. 105

! (factorial) ...................................................................................................................................106

randInt( ........................................................................................................................................ 107

.randNorm( .................................................................................................................................. 108

randBin(.......................................................................................................................................109

randSamp(...................................................................................................................................110

rand(.............................................................................................................................................111

RandSeed ....................................................................................................................................112

CorrMat (Correlation Matrix).............................................................................................................113

Show Stats ................................................. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. 114

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App v

‡ Distr (Distribution) Menu

Shade Menu .......................................................................................................................................116

Shade Normal..............................................................................................................................117

Shade t.........................................................................................................................................118

Shade Chi-square.......................................................................................................................119

Shade F........................................................................................................................................120

Inverse Menu......................................................................................................................................121

Inverse Normal............................................................................................................................122

Inverse t.......................................................................................................................................123

Inverse Chi-square .....................................................................................................................124

Inverse F......................................................................................................................................125

Normal Pdf ......................................................................................................................................... 126

Normal Cdf ............................................... .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. 128

t Pdf..................................................................................................................................................... 129

t Cdf ....................................................................................................................................................131

Chi-square Pdf................................................................................................................................... 132

Chi-square Cdf......................................................................................... .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. 133

F Pdf.................................................................................................................................................... 134

F Cdf ...................................................................................................................................................135

Binomial Pdf.................................................................. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. 136

Binomial Cdf....................................................................................................................................... 137

Poisson Pdf........................................................................................................................................137

Poisson Cdf........................................................................................................................................139

Geometric Pdf....................................................................................................................................140

Geometric Cdf....................................................................................................................................141

ˆ Tests Menu

Z-Test..................................................................................................................................................144

T-Test..................................................................................................................................................146

2-SampZTest......................................................................................................................................148

2-SampTTest......................................................................................................................................151

1-PropZTest........................................................................................................................................154

2-PropZTest........................................................................................................................................156

Chi2 GOF............................................................................................................................................ 158

Chi2 2-way..........................................................................................................................................160

2-SampFTest......................................................................................................................................163

LinRegTTest.......................................................................................................................................165

MultRegTests.....................................................................................................................................168

ANOVA................................................................................................................................................171

ANOVA2-Way..................................................................................................................................... 173

‰ Ints (Intervals) Menu

ZInterval..............................................................................................................................................178

TInterval..............................................................................................................................................180

2-SampZInt.........................................................................................................................................182

2-SampTInt.........................................................................................................................................184

1-PropZInt...........................................................................................................................................186

2-PropZInt...........................................................................................................................................188

LinRegTInt..........................................................................................................................................190

MultRegInt.......................................................................................................................................... 193

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App vi

Getting Started: Read This Fir st!

Running and Quitting Stats/List Editor................................................................................................2

Stats/List Editor CATALOG .................................................................................................................. 3

Stats/List Editor Screens......................................................................................................................4

Example: Pendulum Lengths and Periods..........................................................................................5

Example: Entering the Data...........................................................................................................6

Example: Plotting the Data............................................................................................................7

Example: Fitting a Line to the Data...............................................................................................9

Example: Producing a Scatter Plot of the Residuals ................................................................10

Example: Producing a Power Regression..................................................................................12

Example: Producing Another Residual Plot with the New Data...............................................13

Example: Producing Magnitudes of the Residuals....................................................................14

Example: Making Predictions with the Model............................................................................15

Error Messages....................................................................................................................................16

The Statistics with List Editor Application (Stats/List Editor) for the TI-89 / TI-92 Plus / Voyage™ 200 PLT is two applications in one. Stats/List Editor includes a list editor that provides a means for viewing, editing, and working with statistical data in lists. Stats/List Editor also provides basic inferential and advanced statistics functionality. The two work together to let you view and perform statistical analyses on data lists.

Note: You must set your TI-89 / TI-92 Plus / Voyage 200 PLT to the AUTO or APPROXIMATE mode when using the Stats/List Editor application.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 1

Running and Quitting Stats/List Editor

Running Stats/List Editor

After installing Stats/List Editor:

1. Press 9.

2. Highlight Stats/List Editor.

3. Press ¸. The Folder Selection for Statistics Application

dialog box appears.

4. Press B to display the folders in the Select Current Folder

field. Highlight the ¸.

main folder, and then press ¸

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 guidebook for more information on creating, setting, and deleting folders.

5. Press ¸ when you have selected or created a folder. The list editor is displayed.

Quitting Stats/List Editor

To exit Stats/List Editor and return to the calculator Home screen:

¦ Press - l. ¦ Press O and select another application.

Tip: Press 2 a to toggle between applications.

Any lists or other variables that you or the application stored while using Stats/List Editor are retained in memory. Variables that you created are stored in the current folder. Variables generated by Stats/List Editor are stored in the

Tip: Press 2 ° from anywhere on the calculator to open the VAR-LINK [All] menu.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 2

STATVARS folder.

Stats/List Editor CATALOG

Accessing the Flash Apps CATALOG

Most statistical capabilities provided by the Stats/List Editor Application are also available for use from the Home screen and in programming.

Copy any function or instruction from the and paste it into the entry line on the previous screen.

1. To access the

¦ ½ … ( ¦ 2 ½ … (

CATALOG with all Flash Apps functions is displayed.

The

Flash Apps CATALOG, press:

Flash Apps) for the TIL89

Flash Apps) for the TI-92 Plus / Voyage™ 200 PLT

2. Use the up and down arrow keys (C D) to move the cursor (ú) to the Stats/List Editor function that you want to use.

3. Press ¸ to paste the function or instruction to the entry line of previous

screenlist editor, Home screen, program, etc.

Tip: To find an item in the CATALOG quickly, press the first letter in the item name. (You do not have to press j first.) The cursor (ú) moves to the first item that begins with that letter. Use C and D to scroll the CATALOG until you find the item you are looking for.

Understanding the CATALOG Screen

To resolve duplicate name conflicts from other applications, the application name is combined with the function name. When viewed in the

application name follows the function name line, the application name precedes the function name

CATALOG (including the Flash Apps CATALOG)

Flash Apps CATALOG, the

binomCdf(...TIStat. When placed in the entry

TIStat.binomCdf(.

Syntax

Flash Apps CATALOG with binomCdf( selected List editor with binomCdf( pasted to entry line

Function name (binomCdf) with application (TIStat) identified

Status line containing syntax for binomCdf

Function name (binomCdf) with application prefix (TIStat). Enter arguments here.

Status line containing syntax for binomCdf

In the CATALOG, each function’s syntax (all arguments and punctuation needed to execute the function) is included in the status line to help enter you enter the correct arguments for the function. This is especially useful for programming.

Tip: Press ƒ (Help) from the CATALOG to view the selected syntax statement at a larger size.

Example: binomCdf

N = Number of trials

LOW = Lower limit

N,P[,LOW,UP]

P = Probability of success

UP = Upper limit

Notes: Always separate arguments with commas. Arguments in brackets are optional.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 3

Stats/List Editor Screens

Understanding the Stats/List Editor Screens

The three primary screens used in Stats/List Editor are shown below.

Note: All the screens used in this documentation were taken from the TI-89 calculator. The screens displayed on the TI-92 Plus / Voyage™ 200 PLT 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,

F4 Calc menu lets

the 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.

You begin most of the procedures found in this guidebook at the list editor screen, where you execute instructions, perform statistical analyses, and view the results.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 4

Example: Pendulum Lengths and Periods

Problem Setup

This is a fast-paced introduction to solving problems with Stats/List Editor. Read the remaining chapters for details.

A group of students is trying to determine the mathematical relationship between the length of a pendulum and its period (one complete swing of a pendulum). The group makes a simple pendulum from string and washers and then suspends it from the ceiling. They record the pendulum’s period for each of 12 string lengths.

Length (cm) Time (sec)

6.5 .51 11 .68

13.2 .73 15 .79 18 .88

23.1 .99

24.4 1.01

26.6 1.08

30.5 1.13

34.3 1.26

37.6 1.28

41.5 1.32

List Editor Setup

1. Display the list editor screen.

2. If necessary, press z B and then select

FUNCTION graphing mode.

the

1:Function to set

Press ¸ to return to the list editor screen.

3. Press ƒ (Tools) and select 3:Setup Editor to display the

Setup Editor dialog box.

4. Press ¸ to close the Setup Editor dialog box without

entering any list names in the

Lists To View field.

This removes all lists from the list editor and restores the

list names list1 through list6 to columns 1 through 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.

5. If elements are stored in either list1 or list2, clear them.

Move the rectangular cursor onto ‘ B ‘ ¸ to clear

list1, and then press

list1 and list2.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 5

Example: Entering the Data

1. Use the arrow keys (A B C D) to move the rectangular cursor to the first element in

list1.

ress

6 Ë 5 Í

(6.5 cm) in

list1. The rectangular cursor moves to the next

to store the first pendulum string length

row.

Repeat this step to enter each of the 12 string length

values.

Length (cm):

6.5

13.2

23.1

24.4

26.6

30.5

34.3

37.6

41.5

2. Use the arrow keys to move the rectangular cursor to the first element in

list2.

Press Ë 51 Í to store the first time measurement (.51 sec) in

list2 and to move the rectangular cursor to the next

row.

Repeat this step to enter each of the 12 time values.

Time (sec):

.51

.68

.73

.79

.88

.99

1.01

1.08

1.13

1.26

1.28

1.32

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 6

Example: Plotting the Data

1. Press „ (Plots) to display the F2 Plots menu.

2. From the F2 Plots menu:

¦ Select 3:PlotsOff to turn off all plots. ¦ Select

4:FnOff to turn off all Y = functions.

3. Press „ (

Plots). Select 1:Plot Setup to display the Plot Setup

dialog box.

Note: Your Plot Setup dialog box may not look exactly like the one

shown here.

4. Highlight Plot 1 and press ƒ (Define) to display the Define Plot 1 dialog box.

Scatter is not displayed, press B and select 1:Scatter.

5. If

6. Press D. If Cross is not displayed, press B and select

2:Cross (+) for the type of mark used for each data point on

the scatter plot.

7. Press D to move the cursor to the x field. Then press 2 ° to display the

list1 and press Í to paste list1 in the x value field.

Note: If the contents of the MAIN folder are not displayed, highligh t

the MAIN folder and then press B to expand it.

VAR-LINK [All] menu. Highlight

8. Press D to move the cursor to the y value field. Then press 2 ° to display the Highlight

list2 and press Í to paste list2 in the y value

VAR-LINK [All] menu again.

field.

9. Press D to move the cursor to the Use Freq and Categories? field. If

Categories?

NO is not displayed, press B and set Use Freq and

to NO.

10. Press Í to close the dialog box with changes saved.

Plot1 is selected.

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.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 7

11. Press ‡ (ZoomData) to make sure the entire plot may be viewed in the calculator screen and to begin plotting the data.

Tip: To return to the list editor after graphing an equation or plotting

data, press 2 a.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 8

Example: Fitting a Line to the Data

Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data.

1. Press 2 a to return to the list editor.

2. Press † (Calc) and select 3:Regressions to display the Regressions menu. Then select

LinReg(a+bx) input dialog box.

the

Note: This example shows all dialog boxes with no lists stored.

Your calculator screen may show prepopulated X List and Y List fields.

3. Press 2 ° to display the VAR-LINK [All] menu. Highlight

list1 and press Í to specify list1 for the X List

field.

1:LinReg(a+bx) to display

4. Press D to move the cursor to the Y List field. Press 2 ° to display the

list2, and press Í to specify list2 for the Y List.

VAR-LINK [All] menu, highlight

5. Press D to move the cursor to the Store RegEqn to field and press B. Highlight regression equation (

y1(x) and press Í to store the

RegEqn) variable to the y1(x) equation

variable.

6. Leave Freq, Category List, and Include Categories at their defaults, as shown in the

LingReg(a+bx) dialog box to the

right.

7. Press Í to execute the linear regression LinReg(a+bx) and display the results. The linear regression for the data

list1 and list2 is calculated. Values for a, b, r2, and r are

in displayed. The linear regression equation is stored in

Y1.

8. Press Í. The residuals are calculated and stored automatically in the

resid list, which is then pasted in the

last column of the list editor.

Note: To prevent the resid list from being pasted to the end of the

list editor, press ƒ 9:Format to display the FORMATS dialog box, Change the Results->Editor setting to NO, and then press Í. resid is stored in the STATVARS folder.

9. Press ¥ % to graph the data. The regression line and the scatter plot are displayed.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 9

Example: Producing a Scatter Plot of the Residuals

The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit.

1. Press 2 a to return to the list editor.

Use the arrow keys to move the cursor onto

list3.

Press y /. An unnamed column is displayed in column three, and the remaining lists shift to the right one column. The

Name= prompt is displayed in the entry line,

and alpha-lock is on.

2. Press … (List) and select 1:Names to display the VAR-LINK

menu. Highlight the resid variable, which is stored in

[All]

STATVARS folder.

the

Note: If the contents of the STATVARS folder are not displayed,

highlight the STATVARS folder and press B to expand it. You can then access resid.

3. Press Í to paste resid to the entry line.

Note: Notice the path name in the entry line. If you paste a variable

name that is not in the current folder, the variable’s path name is pasted as well.

4. Press Í. resid is moved from the last column to column three of the list editor.

Notice that the first three residuals are negative. They correspond to the shortest pendulum string lengths in negative. The latter correspond to the longer string lengths in

list1. The next five residuals are positive, and three of the last four are

list1. Plotting the residuals will

show this pattern more clearly.

5. Turn off all plots and functions.

¦ Press „ (

Plots) and select 3:PlotsOff to turn off all plots.

¦ Press „ (Plots) and select 4:FnOff to turn off all

Y = functions.

6. Press „ (Plots) and select 1:Plot Setup to display the Plot

dialog box.

Setup

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 10

Example: Producing a Scatter Plot of the Residuals (

7. Highlight Plot2 and press ƒ (Define). The D efine Plot 2 dialog box is displayed.

8. If Scatter is not already selected, press B and select

1:Scatter.

9. Press D. If Box is not already selected, press B and select

1:Box to use the Box (è) mark for each data point on the

scatter plot.

10. Press D to move the cursor to the x field. Press 2 ° to display the (in the MAIN folder) and press Í to specify list1 for the

x value field.

Note: If the contents of the MAIN folder are not displayed, highlight

the MAIN folder, and then press B to expand it.

11. Press D to move the cursor to the y field. Press 2 ° to display the

resid list variable (in the STATVARS folder).

VAR-LINK [All] menu. Highlight list1

VAR-LINK [All] menu. Highlight the

continued)

Tip: If the MAIN folder is expanded, highlight MAIN, and then press

A 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.

12. Press Í to specify the statvars/resid variable for the y field.

Note: If you paste a variable name that is not in the current folder,

the variable’s pathname is pasted as well.

13. If necessary, press D and set the Use Freq and Categories? option to NO.

14. Press Í to close the dialog box with the changes saved.

Plot2 is selected.

15. Press ‡ (ZoomData). The window variables are adjusted automatically and

Plot2 is displayed.

This is a scatter plot of the residuals.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 11

Example: Producing a Power Regression

Notice the pattern of the residuals: a group of negative residuals, then a group of positive residuals, and then another group of negative residuals. The residual pattern indicates a curvature associated with this data set for which the linear model did not account. The residual plot emphasizes a downward curvature, so a model that curves down with the data would be more accurate. Perhaps a function such as square root would fit. Try a power regression to fit a function of the form y = a ä x

1. Press 2 a to return to the list editor.

2. Press „ (

Plot Setup dialog box. Highlight Plot 1 and press † Ÿ to

turn it on. Press D † Ÿ to turn off

Plots) and select 1:Plot Setup to display the

Plot 2.

3. Press ‡ (ZoomData). The window variables are adjusted automatically, and the original scatter plot of time-versuslength data (

Plot1) is displayed.

4. Press 2 a to return to the list editor.

5. Press † (

9:PowerReg to display the PowerReg input dialog box. X List

and

list1 and list2) to calculate this power regression. (See

(

Calc) and select 3:Regressions. Then select

Y List should be prepopulated with the correct lists

arguments as shown to the right.)

6. Press Í to close the dialog box and calculate the power regression.

Values for a, b, r

, and r are displayed in the PowerReg

output dialog box. The power regression equation is stored

Y1. Residuals for the power regression are calculated

in and placed in the

resid list. The previous contents of resid

are overwritten by the new data. Residuals associated with the linear fit of the transformed data are calculated and placed in the

residt list.

7. Press Í to close the dialog box and return to the list editor.

Note: If the Results->Editor option in the ƒ (Formats) dialog box

is set to editor.

ON, resid and res id t are pasted to the end of the list

8. Press ¥ s. The regression line and the scatter plot are displayed.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 12

Example: Producing Another Residual Plot with the New Data

The new function y1=.192283 … x^.522498 appears to fit the data well. To get more information, examine a residual plot.

1. Press 2 a to return to the list editor.

2. Turn off all plots and functions.

¦ Press „ (

Plots) and select 3:PlotsOff to turn off all plots.

¦ Press „ (Plots) and select 4:FnOff to turn off all

Y = functions.

3. Press „ (Plots) and select 1:Plot Setup to display the Plot

dialog box. Highlight Plot 2 and press † Ÿ to select

Setup

it.

4. Press ‡ (ZoomData). The window variables are adjusted automatically, and

Plot2 is displayed. This is a scatter plot

of the residuals.

The new residual plot shows that the residuals are random in sign, with the residuals increasing in magnitude as the string length increases.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 13

Example: Producing Magnitudes of the Residuals

To see the magnitudes of the residuals, continue with these steps.

1. Press … (Trace).

2. Press B and A to trace the data. Observe the values for at each point.

With this model, the largest positive residual is about .041 and the smallest negative residual is about L.027. All other residuals are less than .02 in magnitude.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 14

Example: Making Predictions with the Model

Now that you have a good model for the relationship between length and period, you can use the model to predict the period for a given string length. To predict the periods for a pendulum with string lengths of 20 cm and 50 cm, continue with these steps.

1. To display the Home screen, press:

¦ Press " for the TI-89

¦ Press ¥ " for the TI-92 Plus

¦ Press ¥ " for the Voyage™ 200 PLT

2. Press 2 ° to display the Highlight the

Note: If the contents of the MAIN folder are not displayed, highlight

the MAIN folder, and then press B to expand it. You can then access y1.

y1 variable.

VAR-LINK [All] menu.

3. Press ¸ to paste y1( to the entry line in Home screen.

4. Type 20 and press ¤ to enter a string length of 20 cm. Press Í.

Based on the residual analysis, we would expect the prediction of about 0.92 seconds to be within about 0.02 seconds of the actual value.

5. Since the last entry is still highlighted, press B A A 0 5 to change the string length to 50 cm.

6. Press Í to calculate the predicted time of about 1.48 seconds.

Since a string length of 50 cm exceeds the lengths in the data set, and since residuals appear to be increasing as string length increases, we would expect more error with this estimate.

From the text Contemporary Precalculus through Applications

Exercise Set 6 from Chapter 1 . Data Analysis One, pages 21, 22, and

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 15

Error Messages

To correct this problem, unlock or unarchive the variable. If it is not

This section describes error messages that are displayed when input or internal errors are encountered by the Stats/List Editor Application.

Error message Description

Problem accessing configuration file, zzconfig, in your current folder. Variable is locked, protected, archived, or corrupted.

Problem accessing STATVARS\\shostat. Please delete the variable.

All plot numbers are in use. Clear unnecessary plots.

The zzconfig file variable may be locked, archived, or corrupted. This problem prevents the Stats List/Editor from accessing the configuration file.

locked or archived, delete zzconfig from the current folder.

• Press 2 °.

• Highlight the

1:Delete

zzconfig variable and press ƒ (Manage). Select

to display the VAR-LINK dialog box.

• Press ¸ to delete the variable. The shostat function has been invoked from the † (Calc) menu or

from the Home screen. The function failed to work properly.

To correct this problem, delete the

STATVARS folder.

shostat variable from the

• Press 2 °.

• Highlight the

1:Delete

shostat variable and press ƒ (Manage). Select

to display the VAR-LINK dialog box.

• Press ¸ to delete the variable.

To correct this problem, you must clear any unnecessary plots.

• Press „ (

Plots) and select 1:Plot Setup to display the Plot Setup

dialog box.

• Highlight any unnecessary plots and press … (

Clear).

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App Getting Started 16

List Editor

Using the List Editor............................................................................................................................ 18

Creating Lists.......................................................................................................................................20

Removing Lists....................................................................................................................................21

Editing a List Element.........................................................................................................................23

Formulas .............................................................................................................................................. 24

This chapter provides examples that demonstrate the Stats/List Editor application list features. You can find more information about the lists in the

List Menu chapter.

…

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 17

Using the List Editor

on of current (highlighted)

Entry line contains the currently

highlighted list name and element.

The List Editor Screen

Data for most statistical analyses in the Stats/List Editor application are stored in list variables. The Stats/List Editor provides six list variables in memory,

ist names are displayed here.

Top line  list1 through list6 are stored in columns 1 through 6 after a memory reset. Center area  On the TI-89, this area displays up to six elements of up to four lists. On

the T TI-92 Plus / Voyage™ 200 PLT, it displays up to eight elements of up to six lists.

Entry line  All data entry occurs on this line. The characteristics of the entry line

change according to the current context: view elements, edit elements, view names, or enter name.

Moving Around the List Edit or Scr e en

list1 through list6.

List elements are displayed here.

Current column: 1 Number of open lists: 6 Status line

In view-elements context, the entry line displays the list name, the current element’s place in that list, and the full value of the current element, up to 16 characters at a time for the TI-89 and up to 20 characters at a time for the TI-92 Plus. An ellipsis (

...)

indicates that the element continues beyond 16 characters or 20 characters.

Positi

list element in the list: 3

List name: list2

Full value of current (highlighted) list element: 45

The following table shows the keystrokes for moving quickly around the list editor screen.

To:

Move the cursor to the bottom of a list. ¥ D ¥ D Move the cursor to the top of a list. ¥ C ¥ C

Page down six elements on the TI-89 or eight on the

On the TI-89 Press:

2 D 2 D

TI-92 Plus / Voyage 200 PLT.

Page up six elements on the TI-89 or eight on the

2 C 2 C

TI-92 Plus / Voyage 200 PLT.

On the TI-92 Plus / Voyage 200 PLT Press:

Delete a list element. 0 or ¥ 8 0 or ¥ 8

Insert a new element. (Zero is the default value for a new element.)

Move to the first list in the list editor. ¥ A ¥ A

Move to the last list in the list editor. ¥ B ¥ B

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 18

y [INS] y [INS]

Using the List Editor (

entry line. You may enter a list name.

to view list names currently

Switching List Edit or Cont e xts

The list editor has four contexts: view elements, edit elements, view names, and enter name. The list editor is first displayed in view-elements context.

View names  Press C to move the cursor onto a list name.

Edit elements  Press Í.

Continued)

The list name is highlighted. Press B and A stored in other list editor columns.

The list name is still highlighted. The elements of the list are also highlighted in the entry line. You may edit any element in a list.

View element  Press Í again.

The first element of the list is highlighted. Press B, A, D, and C to view other list elements. The current element’s full value is displayed in the entry line.

Edit element  Press Í again.

The element is highlighted in the entry line. You may edit the current element in the entry line.

Enter name  Press C until the cursor is on a list name, then press y [INS]. You can

also press B until you reach an unnamed column.

The new list name cell is highlighted. The Name= prompt is displayed in the

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 19

Creating Lists

Creating a New List in the List Edi t or

1. Display the Name= prompt in the entry line in either of these two ways.

¦ Move the cursor onto the list name in the column where you want to insert a list

and press y /. An unnamed column is displayed and the remaining lists shift right one column.

¦ Move the cursor onto a list name and press B until you reach an unnamed

column. The

Tip: After moving the cursor onto a list name, press-¥ B to move to the rightmost list in the list editor.

2. Enter a valid list name in any of these three ways.

¦ Press … (List) and select 1:Names to display the VAR-LINK [ALL] menu. Highlight a

list name and press ¸ to select it.

¦ Enter an existing user-created list name directly from the keyboard.

Name= prompt is displayed.

a) Follow step 1 above to display the

Name= prompt.

b) Press [letter from A to Z or q] to enter the first letter of the name. A variable

name:

- Can have one to eight characters consisting of letters and digits,

including Greek letters (but not p), accented letters, and international letters. Do not include spaces. The first character cannot be a number.

- Can have uppercase or lowercase letters; however, the names

aB22, and ab22 all refer to the same variable.

AB22, Ab22,

- Cannot be the same as a name that is preassigned by the TI-89 /

TI-92 Plus / Voyage™ 200 PLT. Preassigned names include built-in functions (such as variables (such as

abs), instructions (such as LineVert), and system

xmin and xmax.

c) Enter the remaining zero to seven characters to complete the new user-

created list name.

d) Press Í or D to store the list name in the current column of the list

editor.

¦ Enter a new user-created list name from the keyboard at the Name= prompt.

Press y / and enter the list name (abc). Then press ¸ or D to store the list name (

abc) and lists elements, if any, in the current column of the list editor.

Begin entering, scrolling , or editing list elements.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 20

Removing Lists

Removing a List Only from the List Editor

To remove a list only from the list editor, move the cursor onto the list name and press ¥ ..

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

¦ From the Stats/List Editor, use the VAR-LINK [All] menu to delete specified lists.

1. Press 2 ° to display the

2. Press ƒ ( ¸ to delete the list (

Manage) and select 1:Delete to display the VAR-LINK dialog box. Press

list1) from the list editor and from the calculator memory.

VAR-LINK [All] menu. Highlight the list (list1).

Press N to retain the list.

¦ From the Home screen, use the DelVar command to delete specified lists.

1. To display the Home screen press,

- " for the TI-89

- ¥ " for the TI-92 Plus

- Press ¥ " for the Voyage™ 200 PLT

2. To select the

---- ½ D for the TI-89

---- 2 ½ D for the TI-92 Plus / Voyage 200 PLT

Then move the ú indicator to the

DelVar function from the CATALOG press,

DelVar command. Press ¸ to paste the DelVar

command to the entry line.

3. Press 2 ° to display the VAR-LINK [All] menu. Highlight the list (list1) and press Í to paste the list (

list1) in the entry line.

4. Press ¸ to remove the list (list1) from the list editor and from the calculator memory.

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.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 21

Removing Lists

(continued)

Removing All Lists and Restoring list1 through list6

To remove all user-created lists and restore list names list1- list6 to columns 1 - 6:

¦ Press ƒ (Tools) and select 3:Setup Editor to display the Setup Editor dialog box. Then

press ¸ to close the

Lists To View dialog box.

Setup Editor dialog box without entering any list names in the

¦ Reset all memory.

Note: Resetting the memory deletes all lists from memory.

Clearing Elements from a List

¦ To clear list elements from the Stats/List Editor, use either of these two methods:

- ‘  Highlight the list (

list1). Press ‘ Í or ‘ A or B. Or, press

‘ D to clear the elements.

- 0  Highlight the first element of the list (list1). Press 0 to delete the element (5).

¦ To clear list elements of a specified list from the Home screen, use the clrList( command.

1. To display the Home screen press,

- " for the TI-89

- ¥ " for the TI-92 Plus

- Press ¥ " for the Voyage™ 200 PLT

2. To select the

- ½ … (

- 2 ½ … (

3. Move the ú indicator to the entry line, enter the list name (

clrList( function from the … (Flash Apps) catalog press,

List) C for the TI-89

List) C for the TI-92 Plus / Voyage 200 PLT

clrList( function, press ¸ to paste clrList( to the

list1), press d, then and press ¸ to clear the

elements in the list.

Note: TIStat.clrlist(list1) and the Done message are displayed when the list is cleared.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 22

Editing a List Element

Example

To edit a list element, follow these steps.

1. Move the rectangular cursor onto the element you want to edit.

2. Press Í to highlight the element in the entry line.

Tip: If you want to replace the current value, you can enter a new value without first pressing

Í. When you enter the first character, the current value is cleared automatically.

3. Edit the element in the entry line in any of three ways:

¦ Press one or more keys to enter the new value. When you enter the first

character, the current value is cleared automatically.

¦ Press B to move the cursor to the character before which you want to insert, and

then enter one or more characters.

¦ Press B to move the cursor just after the character you want to delete, and then

press 0 to delete the character.

Note: To cancel any editing and restore the original element at the rectangular cursor, press N.

4. Press Í, C, or D to update the list. If you entered an expression, it is evaluated. If you entered only a variable, the stored value is displayed as a list element. When you edit a list element in the list editor, the list is updated in memory immediately.

Note: You can enter expressions (as shown above) and variables for list elements, but they must resolve to a single value.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 23

Formulas

If a formula in quotation marks is displayed on the entry

line, a formula is already attached to the list name. To edit the

to use the Attach List Formula dialog box.

Attaching a Formula to a List Name

You can attach a formula to a list name so that each list element is a result of the formula. The attaching procedure must be performed inside the Stats/List Editor application.

¦ When executed, the calculation resulting from the attached formula must resolve to

a list.

¦ When anything in the attached formula changes, the list to which the formula is

attached is updated automatically.

¦ When you edit an element of a list that is referenced in the formula, the

corresponding element in the list to which the formula is attached is updated.

¦ When you edit the formula itself, all elements in the list to which the formula is

attached are updated.

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 (é) next to the name.

Example

1. In the list editor, enter: list1={1,2,3,4,5,6}

2. Press C, if necessary, to move the cursor to the top line. Press A or B to move the cursor onto the list name to which you want to attach the formula.

Note:

formula, press Í, and then edit the formula in the entry line, or press ¸

3. Press … (List) and select 4:Attach List Formula. The Attach List Formula dialog box is displayed. The list you indicated ( in the

Formula field.

list2) is in the List field. Enter the formula (list1+10)

4. Press D. If the variable name to which you want to store the formula to is not displayed in the

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 f ormula the calculator will only prompt for this default variable. Do not use preassigned system var iable names.

Formula Name field, enter a new variable name.

5. Press Í.

The é after the list name indicates that a formula is attached.

The calculator calculates each element according to the formula (list1+10) and stores it to the target list (list2).

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 24

Highlight the list name (list2)

to view the list

name and formula in quotes in the entry line.

Formulas

nce the formula (list1+10) attached

(Continued)

Using Formula-Generated Lists

When you edit an element of a list referenced in an attached formula, the TI-89 / TI-92 Plus / Voyage™ 200 PLT updates the corresponding element in the list to which the formula is attached.

1. Highlight the first element (

2. Enter the new value (

10) for the element and press ¸.

1) in the list (list1).

When a list with an attached formula is displayed and you edit or enter elements of another displayed list, the TI-89 / TI-92 Plus / Voyage 200 PLT accept each edit or entry. The TI-89 / TI-92 Plus / Voyage 200 PLT must recalculate the elements with each addition or edit.

Tip: This lag time in editing entries can be avoided by pressing ¥ Í and setting Auto-calculate to NO.

Using a Formula without At t ac hing It to a List

You can use a formula or expression to create or edit a list without attaching it to the list. The resulting list is simply a function of an existing list.

To use a formula or expression to create or edit a list:

Si to list2 is based on list1, when element 1 in list1 changes, element 1 in list2 also changes.

takes slightly longer to

1. Highlight the target list name (list2) where you want place the new list elements and press ¸. The list (

list2) is highlighted in the entry line.

2. Enter the expression (list1+10) containing the source list and the calculation and press ¸. The calculated values are pasted into the target list (

Note: The target list will not have the attach symbol (é), and the formula (or expression) used to calculate the target list will not be in quotation marks.

list2).

Note: When you use a formula (or expression) to generate or update a list, the resulting calculations must resolve to a list.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 25

Formulas

(Continued)

Handling Errors Resulting f r om At t a che d For m ulas

You can use an expression to create or edit a list element. If the expression does not resolve to a single value, a Data type error message is displayed.

You can also use an expression to create or edit a list. If the expression does not result in a list, a

Data type error message is displayed.

You can use a formula that generates a different result each time, or example, a formula that includes a random function or one that refers back to the list the formula is attached to. The Stats/List Editor evaluates the formula and displays the results, but it does not attach the formula. You must use … ( formula to a list.

On the Home screen, you can view a list with an attached formula; however, you cannot edit the attached formula. You can only view and edit attached formulas from within the Stats/List Editor.

You cannot sort a list with an attached formula. If you try to sort a list with an attached formula, no error message is displayed; however, the sort function is not executed.

Tip: If an error message is returned when you attempt to display a formula-generated list in the list editor, press N. Then edit the formula: 1) highlight the list name with the attached formula,

2) press Í, and 3) edit the formula in the entry line, or, press Í again and use the Attached List Formula dialog box to edit the formula.

List) 4:Attach List Formula to attach a

Detaching a Formula from a List Name

You can detach (clear) a formula from a list name by using the M key or by editing an element in a list to which a formula is attached.

¦ To detach a formula using the M key:

Move the cursor onto the name of the list (list2) to which a formula is attached. Press ‘ Í. All list elements remain; however the formula is detached and the attached formula symbol (é) disappears.

¦ To detach a formula by editing a list element:

Move the cursor onto an element (13) of the list (list2) to which a formula is attached. Press ¸. Enter the new element value ( changes, the formula is detached, and the attached formula symbol (é) disappears.

26) and press ¸. The element

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App List Editor 26

ƒ Tools Menu

Setup Editor ............................................. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 28

Copy and Paste....................................................................................................................................29

Clear a-z............................................................................. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 30

Clear Editor ................................................ ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 31

Format .................................................................................................................................................. 32

About ....................................................................................................................................................33

The ƒ (Tools) menu lets you set up the Stats/List Editor. It includes the Copy

Paste command, which let you share data between different editors and

and applications. These commands use the clipboard. It also includes several format options that let you decide how your application interface will work, as well as several commands that help you with management and cleanup.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 27

Setup Editor

Description

ƒ (Tools) Æ 3:Setup Editor

Using Setup Editor, you can:

¦ Place lists in the Stats/List Editor.

¦ Enter one or more list names to place in the Stats/List Editor columns, beginning in

column 1, in the order that you enter them. All list names currently in the Stats/List Editor are removed.

¦ Remove all user-created lists from the Stats/List Editor and restore the list names

list1 through list6 to columns 1 through 6.

¦ Enter and view list names that are archived; however you cannot edit these archived

lists in the list 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 access this menu.

Example

… (List) and select 1:Names to

1. Press ƒ (Tools) and select 3:Setup Editor to display the Setup Editor dialog box.

2. Insert the list names (

list2,list3) into the Lists To View field as shown below.

Tip: You can press 2 °, highlight a list name, and then

¸ to paste a list name into this field. Be sure to

press separate the arguments with a comma (

b).

3. Press ¸ to view the lists.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 28

Copy and Paste

to paste

Description

ƒ (Tools) Æ 5:Copy or 6:Paste

Copy lets you copy cell contents, list formulas, and list names into the calculator

clipboard. The

Paste places a copy of the clipboard contents into the current screen.

Note: When copying information to the clipboard, hold ¤ and press A or B to highlight characters to the left or right of the cursor.

Example

Copy command leaves information in its current location.

1. Press

2. Press

C until the list name (list1) is highlighted and then press ¸.

ƒ (Tools), select 5:Copy, and then press ¸ to copy the contents of list1 to the

calculator clipboard.

3. Highlight list2 and then press ¸.

4. Press ƒ (Tools), select 6:Paste, and then press ¸ to paste the contents of list1 into

list2.

TI.89 Tip: You can press ¥6 to copy or ¥7 without having to use the ƒ toolbar menu.

.92 Plus / Voyage™ 200 PLT Tip: You can press ¥ C to

copy or menu.

¥ V to paste without having to use the ƒ toolbar

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 29

Clear a-z

Description

ƒ (Tools) Æ 7:Clear a-z

Clear a-z deletes from calculator memory all single-character variable names (a-z) in the

current folder, unless the variables are locked or archived.

Single-character variable names are often used in symbolic calculations such as:

solve(aøxñ+bøx+c=0,x)

Note: If variables have already been assigned a value, the calculation may produce misleading results. To prevent this, select 1:Clear a–z 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

1. Press ƒ (Tools) and select 7:Clear a-z to display the Clear a-z dialog box.

2. Press ¸ to clear all single-character variable names (a-z). Press N to abort the action.

Note: You cannot use the Clear a-z command in a program; instead, use the DelVar command.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 30

Clear Editor

Description

ƒ (Tools) Æ 8:Clear Editor

Clear Editor clears all list values and list names from the Stats/List Editor. This function

removes the lists from the editor only. memory.

Example

Clear Editor does not delete list names from

From the Stats/List Editor, press

ƒ (Tools) and select 8:Clear Editor. All lists are cleared

from the list editor, but not from memory.

Note: You can restore list1, list2, and list3 using Setup Editor.

1. Press

2. Enter the list names you want to display. Be sure to separate each list name with a comma.

3. Press

ƒ (Tools) and select 3:Setup Editor. The Setup Editor dialog box is displayed.

¸ 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.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 31

Format

Description

ƒ (Tools) Æ 9:Format

The four Format settings are shown below.

Settings

Example

Press ƒ (Tools) and select 9:Format to display the FORMATS dialog box. The defaults are shown here.

Show Initial Dialog (YES, NO)

Show Path Names (YES, NO)

Results!Editor (YES, NO)

Auto-Calculate (YES, NO)

Shows or hides the initial help folder selection dialog box. By default,

Show Initial Dialog = YES.

Shows or hides path names to a variable. Use Show Path Names to aid in working with lists from multiple folders. By default,

No.

Sets up the application to automatically append certain statistics calculations produced by statistics functions to the Stats/List Editor. By default,

Results!Editor = YES.

Sets the Auto-calculate feature for list and data variables. By default,

Auto-calculate = YES. ¦ When Auto-calculate is set to YES, the elements in a list to which a

formula is attached, are automatically updated when you update the corresponding elements in a list that is referenced by the attached formula.

¦ When Auto-calculate is set to YES, the elements in a list to which a

formula is attached, are automatically updated when you edit the formula.

Show Path Names =

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 32

About

Description

ƒ (Tools) Æ A:About

Displays the About dialog box, which contains the Stats/List Editor application version and copyright information. Press

You may need information about the TI-89 / TI-92 Plus / Voyage™ 200 PLT, particularly the software version. Future software versions will include maintenance upgrades, as well as new applications and major software upgrades available from the TI web site:

education.ti.com

Example

Press:

¦ ƒ (Tools) j A for the TI-89 ¦ ƒ (Tools) A for the TI-92 Plus / Voyage 200 PLT

¸ or N to close the dialog box.

Note: The About dialog box will not look exactly like the one shown here.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 33

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ƒ Tools Menu 34

„ Plots Menu

Plot Setup..................................................................................................... .. .. ... .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .. 36

Norm Prob Plot (Normal Probability Plot).........................................................................................38

PlotsOff (Plots Off) and FnOff (Functions Off)..................................................................................40

The „ (Plots) menu allows you to produce plots of your data. Plots are graphical representations of data that have been stored in lists. Before you can define plots, you must create the lists. Stat/List Editor application plot types include Scatter, xyline, Box Plot, Histogram, Modified Box Plot, and Normal Probability Plot.

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.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 35

Plot Setup

ot types, plot symbols (marks),

Description

Plots) Æ 1:Plot Setup

„ (

Use Plot Setup to define and manage plots.

Plot Setup Menu

From the function keys ƒ (

ƒ Define Lets you define a plot using applicable pl

„ Copy Lets you copy a plot to another plot. … Clear Lets you clear a plot. † Ÿ (Selec t) Lets you select a plot for graphing and then toggle it on or off. ‡ ZoomData Lets you redefine the viewing window to display all statistical data

Plot Setup menu, you can access the commands by pressing the calculator

Define), „ (Copy), … (Clear), † (Ÿ (Select)), and ‡ (ZoomData).

Defining a Plot Using ƒ Define

„ (Plots) Æ 1:Plot Setup Æ ƒ (Define)

In the Plot Setup dialog box, you select the plot type (Scatter, xyline, Box Plot, Histogram,

Modified Box Plot) and specify the options.

Plot Type Choose one of five plot types: Scatter, xyline, Box Plot, Histogram, Mod

Mark Select the symbol used to plot the data points: Box (›), Cross (x), Plus

lists, frequencies, and categories.

points and go to the graph automatically.

Box Plot

that are not applicable to a plot type are grayed out.

(+),

. The type you choose affects the remaining options. Options

Square (0), or Dot (ø).

x Type or insert the list name (list1, list2, etc.) used for x values, the

y Type or insert the list name used for y values, the dependent variable.

Hist. Bucket Width Specify the width of each bar in a histogram. For more information,

Use Freq and Categories? Select NO or YES. Freq, Category, and Include Categories are active

Freq Type or insert the list name that contains a “weight” value for each

Category Type or insert the list name that contains a category value for each data

Include Categories If you specify a Category list, you can use this field to limit the

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 36

independent variable.

This option is active only for

refer to the guidebook.

only when

Plot Type = Box Plot, Histogram, or Mod Box Plot.

data point. If you do not enter a list, all data points are assumed to have the same weight (1).

point.

calculation to specified category values. For example, if you specify

1,4}, the calculation uses only data points with a category value of 1 or

{

Use Freq and Categories? = YES. Freq is active only for

Plot Type = Scatter or xyline.

Plot Setup

Example

1. Press „ (Plots) and select 1:Plot Setup to display the Plot Setup dialog box. Initially, none of the plots are defined. However, current plot definitions may be displayed.

2. Highlight the plot number that you want to define, and then press ƒ (Define) to define the plot.

Note: On the calculator, items are active only if they are valid for the current settings of Plot Type and Use Freq and Categories?

3. Specify applicable settings for the active items.

Note: The Stats/List Editor lets you paste a list into either the X value or Y value field. Press 2 °, highlight a list, and then press ¸ to paste a list name into the field.

4. Press ¸. The

Plot Setup screen is redisplayed, and the plot you defined is

automatically selected for graphing.

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.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 37

Norm Prob Plot (Normal Probability Plot)

Description

Plots) Æ 2:Norm Prob Plot

„ (

Norm Prob Plot

the standard normal distribution. If the plotted points lie close to a straight line, the plot indicates that the data are normal.

Example

Use the .randNorm function in the † (Calc) menu to generate and display a list of random numbers using m = 35, s = 2, and NUMTRIALS= 90.

randNorm(m, s[,NUMTRIALS])

Store the results to list1, and then use the Norm Prob Plot function to plot each observation of distribution.

plots each observation X in a list versus the corresponding quantile z of

Plot Number

List Enter a valid list name in the List field. Data Axis

Mark

Store Zscores to Enter a list variable name where you want to store the zscores.

X in a list versus the corresponding quantile z of the standard normal

Select the plot number. Only the available (not already defined) plot numbers are displayed.

Select

X or Y for the Data Axis field.

If you select z-values on the y-axis. If you select the y-axis and the z-values on the x-axis.

Select the Mark you want to use for the plot: Box (›), Cross (x), Plus

Square (0), or Dot (ø).

(+),

X, the calculator plots the data on the x-axis and the

(Plot 1...9)

Y, the calculator plots the data on

1. Press „ (Plots) and select 3:PlotsOff to turn off all plots for graphing. Press „ (Plots) and select

4:FnOff to deselect all Y = functions.

2. Highlight list1, press † (Calc) and select 4:Probability. Then select 6:.randNorm( to paste the

.randNorm( function to the entry line.

3. Enter the arguments for .randNorm( in the entry line as shown below.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 38

Norm Prob Plot (Normal Probability Plot) (continued)

Example (continued)

4. Press ¸ to build a list of random numbers.

5. Press „ (Plots) and select 2:Norm Prob Plot to display the Norm Prob Plot dialog box. Use the arguments as shown below.

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.

6. Press ¸ to paste the zscores to the end of the list editor.

7. Press „ (Plots) and select 1:Plot Setup to display the Plot Setup dialog box.

8. Press ‡ (ZoomData) to display the Norm Prob Plot (Normal Probability Plot).

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 39

PlotsOff (Plots Off) and FnOff (Functions Off)

Description

PlotsOff

„ (Plots) Æ 3:PlotsOff

Examples

¦ FnOff

PlotsOff

turns off all plots for graphing, but leaves the plot definitions intact. When

in 2-graph mode, it only affects the active graph.

FnOff

Plots) Æ 4:FnOff

„ (

Deselects all Y= functions for the current graphing mode.

PlotsOff

Press „ (Plots) and select 3:PlotsOff to turn off all plots.

Press „ (Plots) and select 4:FnOff to deselect all Y= functions.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App „ Plots Menu 40