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Texas Instruments 84PLSECLM1L1T, Manual Book

The Texas Instruments 84PLSECLM1L1T manual book is essential for understanding the features and functions of this advanced scientific calculator. You can download the manual for free from manualshive.com to unlock the full potential of this high-quality product.

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Chapter 12: Statistics

 198

STAT CALC Menu

STAT CALC Menu

To display the 

STAT CALC

 menu, press 

…

 

~

.

For each 

STAT CALC

 menu item, if neither 

Xlistname

 nor 

Ylistname

 is specified, then the default list 

names are 

L1

 and 

L2

. If you do not specify 

freqlist

, then the default is 1 occurrence of each list 

element.

STAT WIZARDS in STAT CALC

When STAT WIZARDS is set to ON in MODE, a wizard will open by default. The wizard will 
prompt for required and optional arguments. In STAT CALC, select Calculate to paste the popu-
lated command to home screen and display the results to a temporary view. 

Note: 

After a calculation, statistical variables are available in the VARS menu.

EDIT CALC

TESTS

1: 1-Var Stats

Calculates 1-variable statistics.

2: 2-Var Stats

Calculates 2-variable statistics.

3: Med-Med

Calculates a median-median line.

4: LinReg(ax+b)

Fits a linear model to data.

5: QuadReg

Fits a quadratic model to data.

6: CubicReg

Fits a cubic model to data.

7: QuartReg

Fits a quartic model to data.

8: LinReg(a+bx)

Fits a linear model to data.

9: LnReg

Fits a logarithmic model to data.

0: ExpReg

Fits an exponential model to data.

A: PwrReg

Fits a power model to data.

B: Logistic

Fits a logistic model to data.

C: SinReg

Fits a sinusoidal model to data.

D: Manual Linear Fit

Fits a linear equation interactively to a scatter plot.

Summary of Contents for 84PLSECLM1L1T

Page 1: ...ebook for the TI 84 Plus or TI 84 Plus Silver Edition with operating system OS version 2 55MP If your calculator has a previous OS version your screens may look different and some features may not be...

Page 2: ...special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless...

Page 3: ...r Conditions 33 Chapter 2 Math Angle and Test Operations 35 Getting Started Coin Flip 35 Keyboard Math Operations 36 MATH Operations 38 Using the Equation Solver 42 MATH NUM Number Operations 45 Enter...

Page 4: ...Between TI 84 Plus and TI 82 114 Chapter 7 Tables 115 Getting Started Roots of a Function 115 Setting Up the Table 116 Defining the Dependent Variables 117 Displaying the Table 118 Chapter 8 Draw Inst...

Page 5: ...S Menu 168 LIST MATH Menu 175 Chapter 12 Statistics 178 Getting Started Pendulum Lengths and Periods 178 Setting Up Statistical Analyses 184 Using the Stat List Editor 185 Attaching Formulas to List N...

Page 6: ...79 Copying and Renaming Programs 280 PRGM CTL Control Instructions 281 PRGM I O Input Output Instructions 288 Calling Other Programs as Subroutines 293 Running an Assembly Language Program 294 Chapter...

Page 7: ...ving Items 350 Backing Up RAM Memory 351 Error Conditions 352 Appendix A Functions and Instructions 354 Appendix B Reference Information 383 Variables 383 Statistics Formulas 384 Financial Formulas 38...

Page 8: ...in the STAT CALC menu DISTR DISTR menu DISTR DRAW menu and the seq function sequence in the LIST OPS menu When selecting a supported statistics command regression or distribution with the STAT WIZARDS...

Page 9: ...Solver and Catalog Help The primary function of each key is printed on the keys For example when you press the MATH menu is displayed Using the y and Keys The secondary function of each key is printed...

Page 10: ...on the TI 84 Plus press An information screen displays reminding you that you can press t a to display the shortcut menus This message also displays when you reset RAM f To continue but not see this i...

Page 11: ...ting the Display Contrast Adjusting the Display Contrast You can adjust the display contrast to suit your viewing angle and lighting conditions As you change the contrast setting a number from 0 light...

Page 12: ...tries or answers to the current entry line Displaying Entries and Answers When text is displayed the TI 84 Plus screen can display a maximum of 8 lines with a maximum of 16 characters per line in Clas...

Page 13: ...next line The mode settings control the way the TI 84 Plus interprets expressions and displays answers If an answer such as a list or matrix is too long to display entirely on one line an arrow MathPr...

Page 14: ...rsor to the appropriate line and then press All shortcut menu items except matrix templates can also be selected using standard menus For example you can choose the summation template from three place...

Page 15: ...the cursor width is too narrow Graphs and editors sometimes display additional cursors which are described in other chapters Interchangeable Faceplates The TI 84 Plus Silver Edition has interchangeab...

Page 16: ...plate in the corresponding grooves of the TI 84 Plus Silver Edition case 2 Gently click the faceplate into place Do not force 3 Make sure you gently press each of the grooves to ensure the faceplate i...

Page 17: ...er from 1 12 or 0 23 7 Press to highlight MINUTE Press and type the minutes a number from 0 59 8 Press to highlight AM PM Press or to highlight the format Press 9 To save changes press to highlight SA...

Page 18: ...s or to scroll the CATALOG until the selection cursor points to ClockOff 3 Press Entering Expressions and Instructions What Is an Expression An expression is a group of numbers variables functions and...

Page 19: ...enter two or more expressions or instructions on a line separate them with colons All instructions are stored together in last entry ENTRY Entering a Number in Scientific Notation 1 Enter the part of...

Page 20: ...home screen press or any non graphing key To restart graphing press a graphing key or select a graphing instruction TI 84 Plus Edit Keys Keystrokes Result or Moves the cursor within an expression thes...

Page 21: ...nction of that key displayed above a key and to the right executes SOLVE Chapters 10 and 11 or accesses a shortcut menu to cancel press or press or y 7 Changes the cursor to sets alpha lock subsequent...

Page 22: ...in 12345 67 GoTo Format Graph No Yes Shortcut to the Format Graph screen y StatDiagnostics Off On Determines which information is displayed in a statistical regression calculation StatWizards On Off...

Page 23: ...ing applies to Normal Sci and Eng notation modes The decimal setting applies to these numbers with respect to the Answer mode setting An answer displayed on the home screen Coordinates on a graph Chap...

Page 24: ...e is selected the TI 84 Plus will sequentially graph all stat plots before it graphs any functions Real a bi re qi Real mode does not display complex results unless complex numbers are entered as inpu...

Page 25: ...mixed number if applicable U n and d must be all be integers If U is a non integer the result may be converted U n d If n or d is a non integer a syntax error is displayed The whole number numerator a...

Page 26: ...t other locations where the cursor is available for input Some calculations will compute directly from the wizard If a command or function is accessed from N the command or function will paste without...

Page 27: ...ent applications which are stored in Flash ROM AppVars is a variable holder used to store variables created by independent applications You cannot edit or change variables in AppVars unless you do so...

Page 28: ...xists in memory but if you select it and paste the name L1 to the home screen you won t be able to see its contents or edit it until it is unarchived Recalling Variable Values Using Recall RCL To reca...

Page 29: ...to the entry or answer you want to copy and then press TThe entry or answer that you copied is automatically pasted on the current input line at the cursor location Note If the cursor is in a MathPrin...

Page 30: ...press y after displaying the oldest stored entry the newest stored entry is displayed again then the next newest entry and so on Executing the Previous Entry Again After you have pasted the last entr...

Page 31: ...orage area Using Ans in an Expression When an expression is evaluated successfully from the home screen or from a program the TI 84 Plus stores the answer to a storage area called Ans last answer Ans...

Page 32: ...t TI 84 Plus operations using menus When you press a key or key combination to display a menu one or more menu names appear on the top line of the screen The menu name on the left side of the top line...

Page 33: ...tem press To go to the first menu item directly from the last menu item press While using your TI 84 Plus you often will need to access items from its menus When you press a key that displays a menu t...

Page 34: ...without Making a Selection You can leave a menu without making a selection in any of four ways Press y 5 to return to the home screen Press to return to the previous screen Press a key or key combina...

Page 35: ...y the VARS or VARS Y VARS menu Press to display the VARS menu Press to display the VARS Y VARS menu 2 Select the type of variable such as 2 Zoom from the VARS menu or 3 Polar from the VARS Y VARS menu...

Page 36: ...p 4sin 46 5 1 2 and 2 5 7 as implied multiplication Note TI 84 Plus implied multiplication rules although like the TI 83 differ from those of the TI 82 For example the TI 84 Plus evaluates 1 2X as 1 2...

Page 37: ...clude maintenance upgrades that will be released free of charge as well as new applications and major software upgrades that will be available for purchase from the TI Web site education ti com For de...

Page 38: ...can store graph and analyze up to 10 functions up to six parametric functions up to six polar functions and up to three sequences You can use DRAW instructions to annotate graphs The graphing chapter...

Page 39: ...at plot definitions For details refer to Chapter 12 Inferential Statistics You can perform 16 hypothesis tests and confidence intervals and 15 distribution functions You can display hypothesis test re...

Page 40: ...n a TI 83 Plus a TI 83 a TI 82 a TI 73 CBL 2 or a CBR System With TI Connect software and a USB computer cable you can also link the TI 84 Plus to a personal computer As future software upgrades becom...

Page 41: ...error occurs in the contents of a Y function during program execution then the Goto option returns to the Y editor not to the program Correcting an Error To correct an error follow these steps 1 Note...

Page 42: ...ome screen Press 10 to enter the number of coin flips Press Press 5 to enter the probability of heads Press Press 40 to enter the number of simulations Press 2 Press to evaluate the expression A list...

Page 43: ...ns sine cosine and tangent with real numbers expressions and lists The current angle mode setting affects interpretation For example sin 30 in radian mode returns L 9880316241 in degree mode it return...

Page 44: ...and lists Exponential e exponential y J returns the constant e raised to a power You can use e with real or complex numbers expressions and lists Constant e constant y e is stored as a constant on the...

Page 45: ...e subtraction sign N which is displayed when you press Pi p Pi y B is stored as a constant in the TI 84 Plus In calculations the TI 84 Plus uses 3 1415926535898 for p MATH Operations MATH Menu To disp...

Page 46: ...ices You can only use 4Dec following value value 4Dec Note You can quickly convert from one number type to the other by using the FRAC shortcut menu Press t 4 4F3 4D to convert a value Cube Cube Root...

Page 47: ...iable fMin and fMax are not valid in expression The accuracy is controlled by tolerance if not specified the default is 1 L5 fMin expression variable lower upper tolerance fMax expression variable low...

Page 48: ...e H for investigations You can use nDeriv once in expression Because of the method used to calculate nDeriv the TI 84 Plus can return a false derivative value at a nondifferentiable point fnInt fnInt...

Page 49: ...ression in the Equation Solver To enter an expression in the equation solver assuming that the variable eqn is empty follow these steps 1 Select B Solver from the MATH menu to display the equation edi...

Page 50: ...valuated when you move to the next variable Expressions must resolve to real numbers at each step during the iteration You can store equations to any VARS Y VARS variables such as Y1 or r6 and then re...

Page 51: ...oll to the end of the number to see whether it ends with a negative or positive exponent A very small number may appear to be a large number until you scroll right to see the exponent The values of th...

Page 52: ...ction solve is available only from CATALOG or from within a program It returns a solution root of expression for variable given an initial guess and lower and upper bounds within which the solution is...

Page 53: ...d Greatest common divisor 0 remainder Reports the remainder as a whole number from a division of two whole numbers where the divisor is not zero A 4n d3 4Un d Converts an improper fraction to a mixed...

Page 54: ...r parts of real or complex numbers expressions lists and matrices iPart value fPart fractional part returns the fractional part or parts of real or complex numbers expressions lists and matrices fPart...

Page 55: ...element in list with value Note min and max also are available on the LIST MATH menu lcm gcd lcm returns the least common multiple of valueA and valueB both of which must be nonnegative integers When...

Page 56: ...ts they must have the same number of elements If one argument is a list and the other a non list the non list is paired with each element of the list and a list is returned 4n d3 4Un d 4n d3 4Un d con...

Page 57: ...t be non negative integers MathPrint Classic n d n d displays the mixed number template You can also access n d from the FRAC shortcut menu t 1 n and d can be real numbers or expressions but may not c...

Page 58: ...Complex Numbers Complex numbers are stored in rectangular form but you can enter a complex number in rectangular form or polar form regardless of the mode setting The components of complex numbers can...

Page 59: ...umbers in results including list elements are displayed in either rectangular or polar form as specified by the mode setting or by a display conversion instruction In the example below polar complex r...

Page 60: ...and Test Operations 53 To enter a complex number in polar form enter the value of r magnitude press y J exponential function enter the value of q angle press y V constant and then press magnitudee ang...

Page 61: ...s re Lqi in re qi mode MathPrint Classic real real real part returns the real part of a complex number or list of complex numbers real a bi returns a real re qi returns r cos q MathPrint Classic MATH...

Page 62: ...e of a complex number or list of complex numbers calculated as tanL1 b a where b is the imaginary part and a is the real part The calculation is adjusted by p in the second quadrant or Np in the third...

Page 63: ...an expression It is not valid if the result is real complex result8Rect returns a bi 4Polar 4Polar display as polar displays a complex result in polar form It is valid only at the end of an expression...

Page 64: ...value to rand To restore the factory set seed value store 0 to rand or reset the defaults Chapter 18 Note The seed value also affects randInt randNorm and randBin instructions nPr nCr nPr number of p...

Page 65: ...neither n nor n 1 2 is an integer 0 The variable n equals value in the syntax description above randInt randInt random integer generates and displays a random integer within a range specified by lowe...

Page 66: ...umsimulations Note The seed value stored to rand also affects randInt randNorm and randBin instructions randIntNoRep randIntNoRep returns a random ordered list of integers from a lower integer to an u...

Page 67: ...t set to Degree you must use so that the TI 84 Plus can interpret the argument as degrees minutes and seconds Degree degree designates an angle or list of angles as degrees regardless of the current a...

Page 68: ...to be interpreted as degrees minutes and seconds 8DMS is valid only at the end of a line answer8DMS R8Pr R8Pq P8Rx P8Ry R8Pr converts rectangular coordinates to polar coordinates and returns r R8Pq co...

Page 69: ...ram flow and in graphing to control the graph of a function over specific values Using Tests Relational operators are evaluated after mathematical functions according to EOS rules Chapter 1 The expres...

Page 70: ...n a value of 1 if an expression is true or 0 if an expression is false according to the table below valueA and valueB can be real numbers expressions or lists valueA and valueB valueA or valueB valueA...

Page 71: ...Chapter 2 Math Angle and Test Operations 64 Boolean logic is often used with relational tests In the following program the instructions store 4 into C...

Page 72: ...he circle The expression Y L 100NX2 defines the bottom half of the circle On the TI 84 Plus you can define one function in terms of another To define Y2 LY1 press to enter the negation sign Press t a...

Page 73: ...aph style for each function 5 Press p and define the viewing window variables 6 Press y and select the graph format settings Displaying and Exploring a Graph After you have defined a graph press s to...

Page 74: ...aphing Chapter 5 Seq sequence graphing Chapter 6 Other mode settings affect graphing results Chapter 1 describes each mode setting Float or 0123456789 fixed decimal mode affects displayed graph coordi...

Page 75: ...ay use functions and variables including matrices and lists in the expression When the expression evaluates to a nonreal number the value is not plotted no error is returned You can access the shortcu...

Page 76: ...n Selecting and Deselecting Functions Selecting and Deselecting a Function You can select and deselect turn on and turn off a function in the Y editor A function is selected when the sign is highligh...

Page 77: ...llow these steps 1 Press to display the VARS Y VARS menu 2 Select 4 On Off to display the ON OFF secondary menu 3 Select 1 FnOn to turn on one or more functions or 2 FnOff to turn off one or more func...

Page 78: ...3 Press to move the cursor left past the sign to the graph style icon in the first column The insert cursor is displayed Steps 2 and 3 are interchangeable 4 Press repeatedly to rotate through the grap...

Page 79: ...terns overlap Note When or is selected for a Y function that graphs a family of curves such as Y1 1 2 3 X the four shading patterns rotate for each member of the family of curves Setting a Graph Style...

Page 80: ...Xres 1 functions are evaluated and graphed at each pixel on the x axis At Xres 8 functions are evaluated and graphed at every eighth pixel along the x axis Note Small Xres values improve graph resolut...

Page 81: ...tance from the center of one pixel to the center of any adjacent pixel on a graph graphing accuracy X and Y are calculated from Xmin Xmax Ymin and Ymax when you display a graph Y Ymax Ymin 62 You can...

Page 82: ...variables are updated when you plot the graph move the free moving cursor or trace RectGC updates X and Y if CoordOn format is selected X and Y are displayed PolarGC updates X Y R and q if CoordOn fo...

Page 83: ...selected function or functions press s TRACE ZOOM instructions and CALC operations display the graph automatically As the TI 84 Plus plots the graph the busy indicator is on As the graph is plotted X...

Page 84: ...s X to Y2 and press s again The function Y2 is graphed on top of Y1 the original function Graphing a Family of Curves If you enter a list Chapter 11 as an element in an expression the TI 84 Plus plots...

Page 85: ...l that appears to be on the function the cursor may be near but not actually on the function The coordinate value displayed at the bottom of the screen actually may not be a point on the function To m...

Page 86: ...the screen continue to change appropriately Moving the Trace Cursor from Function to Function To move the trace cursor from function to function press and The cursor follows the order of the selected...

Page 87: ...on When the instruction is encountered during program execution the graph is displayed with the trace cursor on the first selected function As you trace the cursor coordinate values are updated When y...

Page 88: ...icates the spot 3 Press or As you move the cursor the sides of the box lengthen or shorten proportionately on the screen Note To cancel ZBox before you press press 4 When you have defined the box pres...

Page 89: ...location 5 Zoom in on the graph again in either of two ways To zoom in at the same point press To zoom in at a new point move the cursor to the point that you want as the center of the new viewing win...

Page 90: ...Integer replots the functions ZoomStat ZoomStat redefines the viewing window so that all statistical data points are displayed For regular and modified box plots only Xmin and Xmax are adjusted ZoomFi...

Page 91: ...ace ZFrac1 4 ZFrac1 4 replots the functions immediately It updates the window variables to preset values as shown below These values set X and Y equal to 1 4 and set the X and Y value of each pixel to...

Page 92: ...he graph using the window variables of the graph that was displayed before you executed the last ZOOM instruction ZoomSto ZoomSto immediately stores the current viewing window The graph is displayed a...

Page 93: ...g XFact and YFact To display the ZOOM FACTORS screen where you can review the current values for XFact and YFact select 4 SetFactors from the ZOOM MEMORY menu The values shown are the defaults Changin...

Page 94: ...X in the bottom left corner 2 Enter a real value which can be an expression for X between Xmin and Xmax 3 Press The cursor is on the first selected function in the Y editor at the X value you entered...

Page 95: ...en shows the left bound Right Bound is displayed in the bottom left corner Press or or enter a value to select the x value for the right bound and then press A 3 indicator on the graph screen shows th...

Page 96: ...necessary to move the cursor to the second function and then press 4 Press or to move the cursor to the point that is your guess as to location of the intersection and then press The cursor is on the...

Page 97: ...f x dx from the CALCULATE menu The current graph is displayed with Lower Limit in the bottom left corner 2 Press or to move the cursor to the function for which you want to calculate the integral 3 S...

Page 98: ...es it go Ignore all forces except gravity For initial velocity vo and angle q the position of the ball as a function of time has horizontal and vertical components Horizontal X1 t tv0cos q Vertical Y1...

Page 99: ...and Y3T Press to change the graph style to for X2T and Y2T Press to change the graph style to for X1T and Y1T These keystrokes assume that all graph styles were set to originally 10 Press p Enter thes...

Page 100: ...display the parametric Y editor In this editor you can display and enter both the X and Y components of up to six equations X1T and Y1T through X6T and Y6T Each is defined in terms of the independent...

Page 101: ...he sign of either the X or Y component and press The status of both the X and Y components is changed Setting Window Variables To display the window variable values press p These variables define the...

Page 102: ...nd Y VARS Menus You can perform these actions from the home screen or a program Access functions by using the name of the X or Y component of the equation as a variable Store parametric equations Sele...

Page 103: ...ic graphing panning is not Moving the Trace Cursor to Any Valid T Value To move the trace cursor to any valid T value on the current function enter the number When you enter the first digit a T prompt...

Page 104: ...ngs 2 Press o to display the polar Y editor Press 8 2 5 to define r1 3 Press q 6 to select 6 ZStandard and graph the equation in the standard viewing window The graph shows only five petals of the ros...

Page 105: ...can enter and display up to six polar equations r1 through r6 Each is defined in terms of the independent variable q Selecting Graph Styles The icons to the left of r1 through r6 represent the graph s...

Page 106: ...uations It evaluates R for each value of q from qmin to qmax in intervals of qstep and then plots each point The window variables define the viewing window As the graph is plotted X Y R and q are upda...

Page 107: ...uation is displayed In RectGC format TRACE updates the values of X Y and q if CoordOn format is selected X Y and q are displayed In PolarGC format TRACE updates X Y R and q if CoordOn format is select...

Page 108: ...are affected The q window variables qmin qmax and qstep are not affected except when you select ZStandard The VARS ZOOM secondary menu ZT Zq items 4 Zqmin 5 Zqmax and 6 Zqstep are zoom memory variable...

Page 109: ...format and ExprOn format if necessary 3 Press o If the graph style icon is not dot press press until is displayed and then press 4 Press 3 to select iPart integer part because only whole trees are har...

Page 110: ...ons of the and keys Press y u to enter u for example You can define sequence functions in terms of The independent variable n The previous term in the sequence function such as u nN1 The term that pre...

Page 111: ...ne and thick styles are available for sequence graphing Graph styles are ignored in Web format Selecting and Deselecting Sequence Functions The TI 84 Plus graphs only the selected sequence functions I...

Page 112: ...nth term in the sequence is defined in relation to the previous term or the term that precedes the previous term represented by u nN1 and u nN2 A recursive sequence may also be defined in relation to...

Page 113: ...u nMin u nMin 1 u nMin 2 u nMax PlotStart is the first term to be plotted PlotStart 1 begins plotting on the first term in the sequence If you want plotting to begin with the fifth term in a sequence...

Page 114: ...ons press s As a graph is plotted the TI 84 Plus updates X Y and n Smart Graph applies to sequence graphs Chapter 3 Exploring Sequence Graphs Free Moving Cursor The free moving cursor in Seq graphing...

Page 115: ...e initial value of the first selected function Note To move the cursor to a specified n during a trace enter a value for n and press For example to quickly return the cursor to the beginning of the se...

Page 116: ...nstart nstop nstep nstep is optional default is 1 Graphing Web Plots Graphing a Web Plot To select Web axes format press y A web plot graphs u n versus u nN1 which you can use to study long term beha...

Page 117: ...course 1 It starts on the x axis at the initial value u nMin when PlotStart 1 2 It moves vertically up or down to the sequence 3 It moves horizontally to the y x reference line 4 It repeats this vert...

Page 118: ...quences To select a phase plot axes setting press y press until the cursor is on uv vw or uw and then press Example Predator Prey Model Use the predator prey model to determine the regional population...

Page 119: ...s format 3 Press p and set the variables as shown below 4 Press s to graph the sequence 5 Press r to individually trace the number of rabbits u n and foxes v n over time n Note Press a number and then...

Page 120: ...on for v Comparing TI 84 Plus and TI 82 Sequence Variables Sequences and Window Variables Refer to the table if you are familiar with the TI 82 It shows TI 84 Plus sequences and sequence window variab...

Page 121: ...table if you are familiar with the TI 82 It compares TI 84 Plus sequence name syntax and variable syntax with TI 82 sequence name syntax and variable syntax TI 84 Plus TI 82 On TI 84 Plus press On TI...

Page 122: ...to set Tbl 1 Press to select Indpnt Auto automatically generated independent values Press to select Depend Auto automatically generated dependent values 4 Press y 0 to display the table screen Note T...

Page 123: ...enter a value for the independent variable all corresponding dependent variable values are calculated and displayed automatically Indpnt Auto Depend Ask Values are displayed automatically for the inde...

Page 124: ...bles from the Table Editor To edit a selected Y function from the table editor follow these steps 1 Press y 0 to display the table then press or to move the cursor to a dependent variable column 2 Pre...

Page 125: ...played in the table Chapter 1 In the table above for example the independent variable X and the dependent variables Y1 and Y2 are displayed because Func graphing mode is set Clearing the Table from th...

Page 126: ...art is updated automatically to the value shown on the top line of the table In the example above TblStart 0 and Tbl 1 generates and displays values of X 0 6 but you can press to scroll back and displ...

Page 127: ...he independent variable always remains in the left column except during a trace with parametric graphing mode and G T split screen mode set Note To simultaneously display two dependent variables on th...

Page 128: ...you want to find the equation of the tangent line at X for the function Y sin X 1 Before you begin press z and select 4 Radian and Func if necessary 2 Press o to display the Y editor Press to store s...

Page 129: ...on the mode screen to go to the format graph screen 6 Press The tangent line is drawn the X value and the tangent line equation are displayed on the graph Consider repeating this activity with the mod...

Page 130: ...also can execute these instructions from the home screen or from within a program If a graph is not displayed when you select a DRAW menu instruction the home screen is displayed Clearing Drawings Cl...

Page 131: ...ent to begin and then press 3 Move the cursor to the point where you want the line segment to end The line is displayed as you move the cursor Press To continue drawing line segments repeat steps 2 an...

Page 132: ...al lines through which you want the drawn line to pass 3 Press to draw the line on the graph To continue drawing lines repeat steps 2 and 3 To cancel Horizontal or Vertical press Drawing a Line from t...

Page 133: ...e point on the function at which you want to draw the tangent line 4 Press In Func mode the X value at which the tangent line was drawn is displayed on the bottom of the screen along with the equation...

Page 134: ...DrawF is not interactive DrawF expression Note You cannot use a list in expression to draw a family of curves Drawing an Inverse of a Function DrawInv draw inverse draws the inverse of expression by p...

Page 135: ...and Xright must be numbers between Xmin and Xmax which are the defaults pattern specifies one of four shading patterns patres specifies one of eight shading resolutions Drawing Circles Drawing a Circ...

Page 136: ...Y and radius These values can be expressions Circle X Y radius Note When you use Circle on the home screen or from a program the current window values may distort the drawn circle Use ZSquare Chapter...

Page 137: ...n a Horiz split screen the maximum value for row is 25 On a G T split screen the maximum value for row is 45 and the maximum value for column is 46 Using Pen to Draw on a Graph Using Pen to Draw on a...

Page 138: ...a graph follow these steps 1 Select 1 Pt On from the DRAW POINTS menu 2 Move the cursor to the position where you want to draw the point 3 Press to draw the point To continue drawing points repeat st...

Page 139: ...To continue changing points repeat steps 2 and 3 To cancel Pt Change press Drawing Points from the Home Screen or a Program Pt On point on turns on the point at X x Y y Pt Off turns the point off Pt C...

Page 140: ...e toggles the pixel on and off Pxl On row column Pxl Off row column Pxl Change row column Using pxl Test pxl Test pixel test returns 1 if the pixel at row column is turned on or 0 if the pixel is turn...

Page 141: ...e picture does not include axes labels lower and upper bound indicators prompts or cursor coordinates Any parts of the display hidden by these items are stored with the picture To store a graph pictur...

Page 142: ...Note Pictures are drawings You cannot trace a curve that is part of a picture Deleting a Graph Picture To delete graph pictures from memory use the MEMORY MANAGEMENT DELETE secondary menu Chapter 18...

Page 143: ...functions Consider storing the current Y functions to another database before recalling a stored GDB To recall a graph database follow these steps 1 Select 4 RecallGDB from the DRAW STO menu RecallGDB...

Page 144: ...elect ExprOff 3 Press o to display the Y editor for Par graphing mode Press to store cos T to X1T Press to store sin T to Y1T 4 Press p to display the window editor Enter these values for the window v...

Page 145: ...split screen is activated when you press any key that applies to either half of the split screen If stat plots are turned on the plots are shown along with the x y plots in graphs Press y 0 to make t...

Page 146: ...r example if you press r the cursor is placed in the half where the graph is displayed If you press y 0 the cursor is placed in the half where the table is displayed The TI 84 Plus will remain in spli...

Page 147: ...ys the graph home screen Y editor stat list editor window editor or table editor G T Graph Table Split Screen G T Mode In G T graph table split screen mode a vertical line splits the screen into left...

Page 148: ...ndependent variable T is displayed on the graph Full Screens in G T Mode All screens other than the graph and the table are displayed as full screens in G T split screen mode To return to the G T spli...

Page 149: ...row column text Note The Output instruction can only be used within a program Setting a Split Screen Mode from the Home Screen or a Program To set Horiz or G T from a program follow these steps 1 Pres...

Page 150: ...en or in the Y editor Note To input a fraction in a matrix delete the pre populated zero first Example Add the following matrices and store the result to matrix C 1 Press t to display the quick matrix...

Page 151: ...obtain the reduced row echelon form 6 Press to store the matrix to C In the matrix editor y Q you can see that matrix C has dimension 2x2 You can press to display the EDIT screen and then select C to...

Page 152: ...trix in the editor you first must select the matrix name To do so follow these steps 1 Press y to display the MATRX EDIT menu The dimensions of any previously defined matrices are displayed 2 Select t...

Page 153: ...u can view the matrix and enter values for the matrix elements In a new matrix all values are zero Select the matrix from the MATRX EDIT menu and enter or accept the dimensions The center portion of t...

Page 154: ...ntext clears the value on the bottom line copies the character to the bottom line y 6 Nothing Nothing Editing a Matrix Element In editing context an edit cursor is active on the bottom line To edit a...

Page 155: ...sion you can do any of the following Copy the name from the MATRX NAMES menu Recall the contents of the matrix into the expression with y K Chapter 1 Enter the matrix directly see below Entering a Mat...

Page 156: ...you can store it In MathPrint mode you could also use the MTRX shortcut menu to enter this kind of matrix 1 Press t to define the matrix dimension 2 Press 1 2 2 4 5 6 to define the matrix 3 Press to p...

Page 157: ...rsa Copying One Matrix to Another To copy a matrix follow these steps 1 Press y to display the MATRX NAMES menu 2 Select the name of the matrix you want to copy 3 Press 4 Press y again and select the...

Page 158: ...rix remains the same Addition Subtraction Multiplication To add or subtract matrices the dimensions must be the same The answer is a matrix in which the elements are the sum or difference of the indiv...

Page 159: ...rns a matrix containing the absolute value of each element of matrix abs matrix round round MATH NUM menu returns a matrix It rounds every element in matrix to decimals 9 If decimals is omitted the el...

Page 160: ...matrices using the relational operations and TEST menu they must have the same dimensions and compare matrixA and matrixB on an element by element basis The other relational operations are not valid...

Page 161: ...returns a matrix containing the greatest integer of each element of matrix iPart matrix fPart matrix int matrix Using the MATRX MATH Operations MATRX MATH Menu To display the MATRX MATH menu press y N...

Page 162: ...Dimensions with dim dim dimension returns a list containing the dimensions rows columns of matrix dim matrix 9 List4matr Stores a list to a matrix 0 cumSum Returns the cumulative sums of a matrix A r...

Page 163: ...Matrix with dim Use dim with to redimension an existing matrixname to dimensions rows columns The elements in the old matrixname that are within the new dimensions are not changed Additional created e...

Page 164: ...ndM rows columns augment augment appends matrixA to matrixB as new columns matrixA and matrixB both must have the same number of rows augment matrixA matrixB Matr4list Matr4list matrix stored to list...

Page 165: ...ot equal List4matr fills each extra matrixname row with 0 Complex lists are not valid List4matr listA list n matrixname cumSum cumSum returns cumulative sums of the elements in matrix starting with th...

Page 166: ...rref reduced row echelon form returns the reduced row echelon form of a real matrix The number of columns must be greater than or equal to the number of rows rref matrix rowSwap rowSwap returns a mat...

Page 167: ...atrix It multiplies row of matrix by value and stores the results in row row value matrix row row row row multiplication and addition returns a matrix It multiplies rowA of matrix by value adds it to...

Page 168: ...t in the entry of the syntax 3 Press 1 t A A 1 8 1 to enter the sequence Press to select Paste and press to paste the seq to the current cursor location 4 Press and then press y 7 to turn on alpha loc...

Page 169: ...3 Press letter from A to Z or q to enter the first letter of the name 4 Enter zero to four letters q or numbers to complete the name 5 Press The list is displayed on the next line The list name and i...

Page 170: ...ts and on the home screen Use the stat list editor Chapter 12 The maximum dimension of a list is 999 elements Note When you store a complex number to a list the entire list is converted to a list of c...

Page 171: ...e Transformation Graphing App Entering List Names Using the LIST NAMES Menu To display the LIST NAMES menu press y 9 Each item is a user created list name except for L1 through L6 LIST NAMES menu item...

Page 172: ...t is a result of the formula When executed 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...

Page 173: ...to a list and press again Note When you include more than one list name in a formula each list must have the same dimension 2 Press 3 Enter the name of the list to which you want to attach the formul...

Page 174: ...te You must paste user created list names to the Rcl prompt by selecting them from the LIST NAMES menu You cannot enter them directly using Using Lists with Math Functions You can use a list to input...

Page 175: ...us With one list SortA and SortD sort the elements of listname and update the list in memory NAMES OPS MATH 1 SortA Sorts lists in ascending order 2 SortD Sorts lists in descending order 3 dim Sets th...

Page 176: ...e second element of L5 SortA and SortD are the same as SortA and SortD on the STAT EDIT menu Chapter 12 You cannot sort a locked list Using dim to Find List Dimensions dim dimension returns the length...

Page 177: ...nging from begin to end at steps of increment variable need not be defined in memory increment can be negative the default value for increment is 1 seq is not valid within expression Complex lists are...

Page 178: ...Line plot only and then stores the selected data points to two new lists xlistname and ylistname For example you can use Select to select and then analyze a portion of plotted CBL 2 CBL or CBR data Se...

Page 179: ...designate list names into which you want the selected data to be stored 3 Press The graph screen is displayed with Left Bound in the bottom left corner 4 Press or if more than one stat plot is selecte...

Page 180: ...t plot editor Note The two new lists xlistname and ylistname will include the points you select as left bound and right bound Also left bound x value right bound x value must be true augment augment c...

Page 181: ...you must enter a column after matrix Matr4list matrix column listname preceding one to five characters identifies those characters as a user created listname listname may comprise letters q and number...

Page 182: ...ax are the same as min and max on the MATH NUM menu mean median mean returns the mean value of list median returns the median value of list The default value for freqlist is 1 Each freqlist element co...

Page 183: ...pecify a range of list elements list elements can be real or complex numbers Sums and Products of Numeric Sequences You can combine sum or prod with seq to obtain To evaluate G 2 N 1 from N 1 to 4 std...

Page 184: ...ariance returns the variance of the elements in list The default value for freqlist is 1 Each freqlist element counts the number of consecutive occurrences of the corresponding element in list Complex...

Page 185: ...ics by permission of Janson Publications Inc Dedham MA 1 800 322 MATH 1992 All rights reserved Length cm Time sec Length cm Time sec 6 5 0 51 24 4 1 01 11 0 0 68 26 6 1 08 13 2 0 73 30 5 1 13 15 0 0 7...

Page 186: ...editor If necessary press to clear the function Y1 As necessary press and to turn off Plot1 Plot2 and Plot3 from the top line of the Y editor Chapter 3 As necessary press and to deselect functions 7 P...

Page 187: ...the list name RESID which becomes an item on the LIST NAMES menu Note You can control the number of decimal places displayed by changing the decimal mode setting The statistics reported are not stored...

Page 188: ...s stored in column 3 of the stat list editor Press repeatedly to examine the residuals 19 Press y 2 to select 2 Plot2 from the STAT PLOTS menu The stat plot editor is displayed for plot 2 20 Press to...

Page 189: ...to clear the linear regression equation from Y1 Press to turn on plot 1 Press to turn off plot 2 24 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically an...

Page 190: ...9 defined plot 2 to plot residuals RESID versus string length L1 29 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically and plot 2 is displayed This is a...

Page 191: ...aph the regression equation for the plotted data 5 Graph the residuals list for the given regression model Displaying the Stat List Editor The stat list editor is a table where you can store edit and...

Page 192: ...Display the Name prompt in the entry line in either of two ways Move the cursor onto the list name in the column where you want to insert a list and then press y 6 An unnamed column is displayed and...

Page 193: ...er created list name List names can be one to five characters long 4 Press or to store the list name in the current column of the stat list editor The list name becomes an item on the LIST NAMES menu...

Page 194: ...automatically 3 Edit the element in the entry line Press one or more keys to enter the new value When you enter the first character the current value is cleared automatically You can use the shortcut...

Page 195: ...ribes in detail the concept of attaching formulas to list names To attach a formula to a list name that is stored in the stat list editor follow these steps 1 Press to display the stat list editor 2 P...

Page 196: ...with formulas are displayed Handling Errors Resulting from Attached Formulas On the home screen you can attach to a list a formula that references another list with dimension 0 Chapter 11 However you...

Page 197: ...ements remain Use ClrList All elements of one or more specified lists are cleared each formula is detached and each lock symbol disappears All list names remain Use ClrAllLists Chapter 18 All elements...

Page 198: ...t elements context You may edit any element in a list All elements of the current list are displayed in braces in the entry line Press and to view more list elements 3 Press again to switch to view el...

Page 199: ...value for a new element Edit Elements Context In edit elements context the data displayed in the entry line depends on the previous context When you switch to edit elements context from view elements...

Page 200: ...alpha lock is on At the Name prompt you can create a new list name paste a list name from L1 to L6 from the keyboard or paste an existing list name from the LIST NAMES menu Chapter 11 The symbol is no...

Page 201: ...d in memory SortA listname SortD listname SortA keylistname dependlist1 dependlist2 dependlist n SortD keylistname dependlist1 dependlist2 dependlist n Note SortA and SortD are the same as SortA and S...

Page 202: ...ves all list names from the stat list editor and restores list names L1 through L6 in the stat list editor columns 1 through 6 Regression Model Features Regression Model Features STAT CALC menu items...

Page 203: ...item 1 on the VARS Statistics EQ secondary menu Note For the regression equation you can use the fixed decimal mode setting to control the number of digits stored after the decimal point Chapter 1 How...

Page 204: ...gnosticOff instruction Each instruction is in the CATALOG Chapter 15 To turn diagnostics on or off from the mode screen select On or Off for StatDiagnostics The default is Off To set DiagnosticOn or D...

Page 205: ...he results to a temporary view Note After a calculation statistical variables are available in the VARS menu EDIT CALC TESTS 1 1 Var Stats Calculates 1 variable statistics 2 2 Var Stats Calculates 2 v...

Page 206: ...urs in the data set you are analyzing For example if L1 15 12 9 14 and FREQ 1 4 1 3 then the TI 84 Plus interprets the instruction 1 Var Stats L1 FREQ to mean that 15 occurs once 12 occurs four times...

Page 207: ...cy of occurrence for each corresponding data point in Xlistname freqlist elements must be real numbers 0 1 Var Stats Xlistname freqlist 2 Var Stats 2 Var Stats two variable statistics analyzes paired...

Page 208: ...and c when DiagnosticOn is set it also displays a value for R2 For three data points the equation is a polynomial fit for four or more it is a polynomial regression At least three data points are req...

Page 209: ...g a least squares fit It displays values for a y intercept and b slope when DiagnosticOn is set it also displays values for r2 and r LinReg a bx Xlistname Ylistname freqlist regequ LnReg a b ln x LnRe...

Page 210: ...istname freqlist regequ Logistic c 1 a e bx Logistic fits the model equation y c 1 a eLbx to the data using an iterative least squares fit It displays values for a b and c Logistic Xlistname Ylistname...

Page 211: ...qual and the time values must be ordered in ascending sequential order If you specify period the algorithm may find a solution more quickly or it may find a solution when it would not have found one i...

Page 212: ...ion is displayed The Manual Fit Line equation displays in the form of Y mX b The current value of the first parameter m is highlighted in the symbolic expression Modify parameter values Press the curs...

Page 213: ...in expressions press and select 5 Statistics Then select the VARS menu shown in the column below under VARS menu If you edit a list or change the type of analysis all statistical variables are cleare...

Page 214: ...apter 11 Statistical Calculations To perform a statistical calculation from a program follow these steps 1 On a blank line in the program editor select the type of calculation from the STAT CALC menu...

Page 215: ...more lists 2 Select or deselect Y functions as appropriate 3 Define the stat plot 4 Turn on the plots you want to display 5 Define the viewing window 6 Display and explore the graph Scatter Scatter p...

Page 216: ...is x except when the outlier is the maximum point maxX or the minimum point minX When outliers exist the end of each whisker will display x When no outliers exist minX and maxX are the prompts for th...

Page 217: ...then the plot indicates that the data are normal Enter a valid list name in the Data List field Select X or Y for the Data Axis setting If you select X the TI 84 Plus plots the data on the x axis and...

Page 218: ...list name containing independent data Ylist list name containing dependent data Mark or or Freq frequency list for Xlist elements default is 1 Data List list name for NormProbPlot Data Axis axis on w...

Page 219: ...e a scatter plot or xyLine tracing begins at the first element in the lists When you trace a histogram the cursor moves from the top center of one column to the top center of the next starting at the...

Page 220: ...ct the type of plot which pastes the name of the plot type to the cursor location 5 Press Enter the list names separated by commas 6 Press y to display the STAT PLOT MARK menu This step is not necessa...

Page 221: ...Chapter 12 Statistics 214 Displaying a Stat Plot from a Program To display a plot from a program use the DispGraph instruction Chapter 16 or any of the ZOOM instructions Chapter 3...

Page 222: ...9 Height in centimeters of Each of 10 Women 169 43 168 33 159 55 169 97 159 79 181 42 171 17 162 04 167 15 159 53 1 Press to display the stat list editor Press to move the cursor onto L1 and then pres...

Page 223: ...precise bound on the population mean m of women s heights increase the sample size to 90 Use a sample mean v of 163 8 and sample standard deviation Sx of 7 1 calculated from the larger random sample...

Page 224: ...of the population 2 Press 163 8 to store 163 8 to v Press 7 1 to store 7 1 to Sx Press 90 to store 90 to n 3 Press to move the cursor onto Calculate and then press to calculate the new 99 percent conf...

Page 225: ...struction it is pasted to the home screen ANOVA does not have an editor screen Using an Inferential Stat Editor To use an inferential stat editor follow these steps 8 Press y to display the DISTR DRAW...

Page 226: ...confidence interval instruction Selecting Data or Stats Most inferential stat editors prompt you to select one of two types of input 1 PropZInt and 2 PropZTest 1 PropZInt and 2 PropZInt c2 Test c2GOF...

Page 227: ...s a graph of the test results and displays the test statistic and p value with the graph The window variables are adjusted automatically to fit the graph To select Calculate or Draw move the cursor to...

Page 228: ...input choice show both types of input screens EDIT CALC TESTS 1 Z Test Test for 1 m known s 2 T Test Test for 1 m unknown s 3 2 SampZTest Test comparing 2 m s known s s 4 2 SampTTest Test comparing 2...

Page 229: ...reen The description then shows the unique output screen for that instruction with the example results Descriptions of instructions that offer the Calculate Draw output choice show both types of scree...

Page 230: ...ts the null hypothesis H0 m m0 against one of the alternatives below Ha m m0 m m0 Ha m m0 m m0 Ha m m0 m m0 In the example L1 299 4 297 7 301 298 9 300 2 297 Note All STAT TESTS examples assume a fixe...

Page 231: ...is test for a single unknown population mean m when the population standard deviation s is unknown It tests the null hypothesis H0 m m0 against one of the alternatives below Ha m m0 m m0 Ha m m0 m m0...

Page 232: ...ulations m1 and m2 based on independent samples when both population standard deviations s1 and s2 are known The null hypothesis H0 m1 m2 is tested against one of the alternatives below Ha m1 m2 m1 m2...

Page 233: ...based on independent samples when neither population standard deviation s1 or s2 is known The null hypothesis H0 m1 m2 is tested against one of the alternatives below Ha m1 m2 m1 m2 Ha m1 m2 m1 m2 Ha...

Page 234: ...r an unknown proportion of successes prop It takes as input the count of successes in the sample x and the count of observations in the sample n 1 PropZTest tests the null hypothesis H0 prop p0 agains...

Page 235: ...ses p1 and p2 from two populations It takes as input the count of successes in each sample x1 and x2 and the count of observations in each sample n1 and n2 2 PropZTest tests the null hypothesis H0 p1...

Page 236: ...ce interval depends on the user specified confidence level In the example L1 299 4 297 7 301 298 9 300 2 297 TInterval TInterval one sample t confidence interval item 8 computes a confidence interval...

Page 237: ...e interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are known The computed confidence interval depends on the user specified confidence...

Page 238: ...erval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are unknown The computed confidence interval depends on the user specified confidence lev...

Page 239: ...mputed confidence interval depends on the user specified confidence level 2 PropZInt 2 PropZInt two proportion z confidence interval item B computes a confidence interval for the difference between th...

Page 240: ...and column variables The alternative hypothesis is the variables are related Before computing a c2 Test enter the observed counts in a matrix Enter that matrix variable name at the Observed prompt in...

Page 241: ...ms to a specified distribution For example c2 GOF can confirm that the sample data came from a normal distribution In the example list 1 16 25 22 8 10 list 2 16 2 21 6 16 2 14 4 12 6 The Chi square Go...

Page 242: ...s2 The population means and standard deviations are all unknown 2 Samp Test which uses the ratio of sample variances Sx12 Sx22 tests the null hypothesis H0 s1 s2 against one of the alternatives below...

Page 243: ...If you enter a Y variable name at the RegEQ prompt the calculated regression equation is automatically stored to the specified Y equation In the example below the regression equation is stored to Y1...

Page 244: ...uency values for the data is stored in List The default is 1 All elements must be real numbers Each element in the Freq list is the frequency of occurrence for each corresponding data point in the inp...

Page 245: ...f two to 20 populations The ANOVA procedure for comparing these means involves analysis of the variation in the sample data The null hypothesis H0 m1 m2 mk is tested against the alternative Ha not all...

Page 246: ...umber 0 s2 The known population standard deviation from the second population for the two sample tests and intervals Must be a real number 0 List1 List2 The names of the lists containing the data you...

Page 247: ...rix name that specifies where the expected values should be stored Expected is created upon successful completion of the c2 Test and c2GOF Test df df degree of freedom represents number of sample cate...

Page 248: ...d deviation of x Sx Sx XY number of data points n n XY standard error about the line s TEST regression fit coefficients a b EQ correlation coefficient r EQ coefficient of determination r2 EQ regressio...

Page 249: ...pdf is normalpdf x m s Note For plotting the normal distribution you can set window variables Xmin and Xmax so that the mean m falls between them and then select 0 ZoomFit from the ZOOM menu normalcdf...

Page 250: ...e left of the x value 0 area 1 must be true The defaults are m 0 and s 1 invNorm area m s invT invT computes the inverse cumulative Student t probability function specified by Degree of Freedom df for...

Page 251: ...and upperbound for the specified df degrees of freedom which must be 0 tcdf lowerbound upperbound df c2 pdf f x 1 df 2 1 2 df 2 x df 2 1 e x 2 x 0 c2pdf computes the probability density function pdf...

Page 252: ...of freedom which must be an integer 0 c2 cdf lowerbound upperbound df f x n d 2 n 2 d 2 n d n 2 x n 2 1 1 nx d n d 2 x 0 Fpdf pdf computes the probability density function pdf for the distribution at...

Page 253: ...or df must be integers 0 cdf lowerbound upperbound numerator df denominator df f x n x p x 1 p n x x 0 1 n binompdf binompdf computes a probability at x for the discrete binomial distribution with the...

Page 254: ...a list of cumulative probabilities is returned binomcdf numtrials p x f x e x x x 0 1 2 poissonpdf poissonpdf computes a probability at x for the discrete Poisson distribution with the specified mean...

Page 255: ...ess p 0 p 1 must be true x can be a real number or a list of real numbers geometcdf p x MathPrint Classic Distribution Shading DISTR DRAW Menu To display the DISTR DRAW menu press y DISTR DRAW instruc...

Page 256: ...area left of upperbound for example specify lowerbound L1 99 ShadeNorm ShadeNorm draws the normal density function specified by mean m and standard deviation s and shades the area between lowerbound a...

Page 257: ...and upperbound Shadec2 lowerbound upperbound df Classic Note For this example Xmin 0 Xmax 35 Ymin L 025 Ymax 1 ShadeF Shade draws the density function for the distribution specified by numerator df d...

Page 258: ...ion is built into the TI 84 Plus code and cannot be deleted Many other applications in addition to the ones mentioned above including language localization applications are included on your TI 84 Plus...

Page 259: ...rd it 2 Select from list of functions 1 Press z to set the fixed decimal mode setting to 2 2 Press to select 1 Finance from the APPLICATIONS menu 3 Press to select 1 TVM Solver from the CALC VARS menu...

Page 260: ...ress YYou need to look for an interest rate of 6 73 to grow 1250 to 2000 in 7 years Using the TVM Solver Using the TVM Solver The TVM Solver displays the time value of money TVM variables Given four v...

Page 261: ...quare in the left column designates the solution variable Using the Financial Functions Entering Cash Inflows and Cash Outflows When using the TI 84 Plus financial functions you must enter cash inflow...

Page 262: ...re a value to a TVM variable use the TVM Solver or use and any TVM variable on the FINANCE VARS menu If you enter less than six arguments the TI 84 Plus substitutes a previously stored TVM variable va...

Page 263: ...he payment tvm_Pmt is computed on the home screen using the values in the TVM Solver Next the interest rate is changed to 9 5 to illustrate the effect on the payment amount tvm_I tvm_ computes the ann...

Page 264: ...npv and irr use these arguments interest rate is the rate by which to discount the cash flows the cost of money over one period CF0 is the initial cash flow at time 0 it must be a real number CFList...

Page 265: ...F0 CFList CFFreq Calculating Amortization Calculating an Amortization Schedule Use the amortization functions menu items 9 0 and A to calculate balance sum of principal and sum of interest for an amor...

Page 266: ...e interest during a specified period for an amortization schedule using stored values for PV and PMT pmt1 is the starting payment pmt2 is the ending payment in the range pmt1 and pmt2 must be positive...

Page 267: ...to define X1T as T Press 9 to define Y1T as bal T 6 Press p to display the window variables Enter the values below Tmin 0 Xmin 0 Ymin 0 Tmax 360 Xmax 360 Ymax 125000 Tstep 12 Xscl 50 Yscl 10000 7 Pre...

Page 268: ...e compounding periods 4Eff 4Eff computes the effective interest rate nominal rate and compounding periods must be real numbers compounding periods must be 0 4Eff nominal rate compounding periods Findi...

Page 269: ...lver s PMT END BEGIN line select END to set PMT to ordinary annuity Pmt_Bgn Pmt_Bgn payment beginning specifies an annuity due where payments occur at the beginning of each payment period Most leases...

Page 270: ...fter you have stored a value to P Y The EasyData Application The Vernier EasyData application by Vernier Software Technology allows you to view and analyze real world data when the TI 84 Plus is conne...

Page 271: ...select 2 Time Graph The current settings are displayed on the calculator Note If using a motion detector settings for 3 Distance Match and 4 Ball Bounce in the Setup menu are preset and cannot be cha...

Page 272: ...tically stops select Stop press and hold q at any time during the sampling process When sampling stops a graph of the sampled data is displayed Saving Collected Data Collected data is automatically tr...

Page 273: ...ou can execute from the home screen are GetCalc Get and Send Selecting an Item from the CATALOG To select a CATALOG item follow these steps 1 Press y N to display the CATALOG The 4 in the first column...

Page 274: ...ng Each number letter and space counts as one character Each instruction or function name such as sin or cos counts as one character the TI 84 Plus interprets each instruction or function name as one...

Page 275: ...tring variables with string functions and instructions To display the VARS STRING menu follow these steps 1 Press to display the VARS menu Move the cursor to 7 String 2 Press to display the STRING sec...

Page 276: ...ing is displayed String Functions and Instructions in the CATALOG Displaying String Functions and Instructions in the CATALOG String functions and instructions are available only from the CATALOG The...

Page 277: ...ting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen follow the steps for selecting an item from the CATALOG Equ4String Equ4String conv...

Page 278: ...substring start Note If string does not contain substring or start is greater than the length of string inString returns 0 length length returns the number of characters in string string can be a str...

Page 279: ...is the position number of the first character of the subset length is the number of characters in the subset sub string begin length Entering a Function to Graph during Program Execution In a program...

Page 280: ...additional CATALOG items sinh cosh tanh sinh cosh and tanh are the hyperbolic functions Each is valid for real numbers expressions and lists sinh value cosh value tanh value sinh 1 cosh 1 tanh 1 sinh...

Page 281: ...Chapter 15 CATALOG Strings Hyperbolic Functions 274 sinh 1 value cosh 1 value tanh 1 value...

Page 282: ...ock is on Press C Y L I N D E R and then press to name the program CYLINDER You are now in the program editor The colon in the first column of the second line indicates the beginning of a command line...

Page 283: ...in Classic format You can use fractions in programs but you should test the program to make sure that you get the desired results The spacing of the display may be slightly different in MathPrint mod...

Page 284: ...ogram editor is displayed 6 Enter one or more program commands 7 Press y 5 to leave the program editor and return to the home screen Managing Memory and Deleting a Program To check whether adequate me...

Page 285: ...screen put the cursor next to the archived program and press The asterisk will disappear Note Archive programs cannot be edited or executed In order to edit or execute an archived program you must fi...

Page 286: ...dated as each command is executed Chapter 1 The TI 84 Plus checks for errors during program execution It does not check for errors as you enter a program Breaking a Program To stop program execution p...

Page 287: ...ter 1 2 Press to display the PRGM EXEC menu 3 Select a name from the menu prgmname is pasted to the bottom line of the program editor 4 Press All command lines from the selected program are copied int...

Page 288: ...to determine which command to execute next Conditions frequently use relational or Boolean tests Chapter 2 as in CTL I O EXEC 1 If Creates a conditional test 2 Then Executes commands when If is true 3...

Page 289: ...nstructions can be nested If condition command if true command Program Output If Then Then following an If executes a group of commands if condition is true nonzero End identifies the end of the group...

Page 290: ...exceeded End identifies the end of the loop For loops can be nested For variable begin end increment command while end not exceeded command while end not exceeded End command Program Output While Whil...

Page 291: ...ut End End identifies the end of a group of commands You must include an End instruction at the end of each For While or Repeat loop Also you must paste an End instruction at the end of each If Then g...

Page 292: ...Lbl label and Goto go to are used together for branching Lbl specifies the label for a command label can be one or two characters A through Z 0 through 99 or q Lbl label Goto causes the program to bra...

Page 293: ...mand is executed variable cannot be a system variable DS variable value command if answer value command if answer value Program Output Note DS is not a looping instruction Menu Menu sets up branching...

Page 294: ...program that you have not yet created prgmname Note You cannot directly enter the subroutine name when using RCL You must paste the name from the PRGM EXEC menu Return Return quits the subroutine and...

Page 295: ...in the program editor only These instructions control input to and output from a program during execution They allow you to enter values and display answers during program execution To return to the p...

Page 296: ...pt during execution variable may be a real number complex number list matrix string or Y function During program execution enter a value which can be an expression and then press The value is evaluate...

Page 297: ...playing the Home Screen Disp display without a value displays the home screen To view the home screen during program execution follow the Disp instruction with a Pause instruction Disp Displaying Valu...

Page 298: ...e displays the current table The program halts temporarily so you can examine the screen Press to resume execution Output Output displays text or value on the current home screen beginning at row 1 th...

Page 299: ...program TI 84 Plus Key Code Diagram ClrHome ClrTable ClrHome clear home screen clears the home screen during program execution ClrTable clear table clears the values in the table during program execut...

Page 300: ...l interpret it as the Get described above Use GetCalc to get data from another TI 84 Plus Send sends the contents of variable to the CBL 2 or CBR You cannot use it to send to another TI 84 Plus variab...

Page 301: ...rns to the calling program even if it is encountered within nested loops Running an Assembly Language Program You can run programs written for the TI 84 Plus in assembly language Typically assembly la...

Page 302: ...ogram you want to compile It will be pasted to the home screen 5 Press and then select prgm from the CATALOG 6 Key in the name you have chosen for the output program Note This name must be unique not...

Page 303: ...ucation ti com Use the quadratic formula to solve the quadratic equations 2x2 N 11x 14 0 and 2x2 N 6x 5 0 Graphing the Functions Before you begin look at the graphs of the functions to see the approxi...

Page 304: ...Press 14 C to store the constant 4 Press to store the values to the variables A B and C The last value you stored is shown on the right side of the display The cursor moves to the next line ready for...

Page 305: ...mplex results 2 Press to convert the result to a decimal 3 Press to highlight and then press to paste it to the entry line 4 Press until the cursor is on the sign in the formula Press to edit the quad...

Page 306: ...B and C respectively 4 Enter the quadratic formula using Classic entry B y C B 4 A C 2 A Because the solution is a complex number you have to enter the formula using the division operation instead of...

Page 307: ...re of the TI 84 Plus displays numeric information about a function You can use a table of values from the function you just defined to estimate an answer to the problem lets you enter X quickly withou...

Page 308: ...from positive to negative between 10 and 11 6 Press y Notice that TblStart has changed to 5 to reflect the first line of the table as it was last displayed In step 5 the first value of X displayed in...

Page 309: ...3 68 in full precision is 410 264064 at X 3 69 is 410 262318 and at X 3 7 is 410 256 The maximum volume of the box would occur at 3 68 if you could measure and cut the paper at 01 centimeter incremen...

Page 310: ...isplayed 2 Press to activate the free moving graph cursor The X and Y coordinate values for the position of the graph cursor are displayed on the bottom line 3 Press and to move the free moving cursor...

Page 311: ...nu This menu is a typical TI 84 Plus menu To select an item you can either press the number or letter next to the item or you can press until the item number or letter is highlighted and then press 2...

Page 312: ...ompt 2 Press to trace along the curve to a point to the left of the maximum and then press A 4 at the top of the screen indicates the selected bound A Right Bound prompt is displayed 3 Press to trace...

Page 313: ...compare visually the correct guess data from this table Each row in the table represents the results observed for one subject Note that 10 women and 12 men were tested Procedure 1 Press 5 to select 5...

Page 314: ...ate guessers according to the box plots 9 Examine the men s results Redefine plot 1 to use MLEFT redefine plot 2 to use MRGHT Press r Men s left hand data Men s right hand data Press and to examine mi...

Page 315: ...raph the piecewise function that describes the cost of the ticket The fine Y as a function of kilometers per hour X is which simplifies to Procedure 1 Press z Select Func and Classic 2 Press o Turn of...

Page 316: ...y is true and where it is false Note You can also investigate graphing inequalities using the Inequality Graphing application The application is pre loaded on your TI 84 Plus and can be downloaded fro...

Page 317: ...quality is false You only see the intervals of the graph where Y4 Y5 because intervals that are false are multiplied by 0 Y6 Y4 and Y6 Y5 Solving a System of Nonlinear Equations Problem Using a graph...

Page 318: ...ice the number of decimal places 7 Press y 5 to select 5 intersect Press to select the first curve and to select the second curve To guess move the trace cursor near the intersection Press What are th...

Page 319: ...Seq and the default mode settings Press y Select Web format and the default format settings 2 Press o Clear all functions and turn off all stat plots Enter the sequence that corresponds to the express...

Page 320: ...function A sin BX with random integer coefficients between 1 and 10 Try to guess the coefficients and graph your guess as C sin DX The program continues until your guess is correct Note This program c...

Page 321: ...1 GraphStyle 2 5 Set line and path graph styles FnOff 2 randInt 1 10 A randInt 1 10 B 0 C 0 D Initialize coefficients L2p Xmin 2p Xmax p 2 Xscl L10 Ymin 10 Ymax 1 Yscl Set viewing window DispGraph Pau...

Page 322: ...r Simul and the default settings 2 Press p Set the viewing window 3 Press o Turn off all functions and stat plots Enter the expressions to define the unit circle centered on 0 0 4 Enter the expression...

Page 323: ...X2 625 Y2 3cos 1X 4 Press y 5 to select 5 Intersect The graph is displayed Select a first curve second curve and guess for the intersection toward the left side of the display The solution is display...

Page 324: ...el but 25 meters b to the right of the ferris wheel s lowest point 25 0 The person throws the ball with velocity v0 of 22 meters per second at an angle q of 66 from the horizontal The parametric equat...

Page 325: ...press to move near the point on the ferris wheel where the paths cross Notice the values of X Y and T 7 Press to move to the path of the ball Notice the values of X and Y T is unchanged Notice where t...

Page 326: ...e default settings 2 Press p Set the viewing window 3 Press o Turn off all functions and stat plots Enter the numerical integral of 1 T from 1 to X and the function ln X Set the graph style for Y1 to...

Page 327: ...o Turn off all functions and stat plots Use a list to define these three functions simultaneously Store the function in Y5 2 Press q 6 to select 6 ZStandard The graphs are displayed as each calculatio...

Page 328: ...p N cos p N for the area of a regular polygon with N sides of equal length and B distance from the center to a vertex Procedure 1 Press t B to select B Solver from the MATH menu Either the equation ed...

Page 329: ...nd the area given B 6 and N 10 100 150 1000 and 10000 Compare your results with p62 the area of a circle with radius 6 which is approximately 113 097 7 Enter B 6 To find the area A move the cursor ont...

Page 330: ...olygon with r as the distance from the center to a vertex approaches the area of a circle with radius r pr2 as N gets large Computing and Graphing Mortgage Payments Problem You are a loan officer at a...

Page 331: ...the house is displayed at the PV prompt Now compare the graph of the amount of interest with the graph of the amount of principal for each payment 4 Press z Set Par and Simul 5 Press o Turn off all f...

Page 332: ...2T is always 800 8 Press to move the cursor onto the function for interest defined by X2T and Y2T Enter 240 The graph shows that for the 240th payment X 240 441 97 of the 800 payment is interest Y 441...

Page 333: ...lable RAM stores computations lists variables and data The available Archive lets you store programs Apps groups and other variables The App slots are actually individual sectors of Flash ROM where Ap...

Page 334: ...Flash Application App Certificate Revision Number To display the About screen press y L and then select 1 About Displaying the MEMORY MANAGEMENT DELETE Menu Mem Mgmt Del displays the MEMORY MANAGEMENT...

Page 335: ...ro even after memory is cleared Apps are independent applications which are stored in Flash ROM AppVars is a variable holder used to store variables created by Apps You cannot edit or change variables...

Page 336: ...sor 4 next to the item you want to delete and then press The variable is deleted from memory You can delete individual variables one by one from this screen No warning will be given to verify the dele...

Page 337: ...uted Archiving and UnArchiving Variables Archiving and UnArchiving Variables Archiving lets you store data programs or other variables to the user data archive ARC where they cannot be edited or delet...

Page 338: ...Parametric equations X1T and Y1T X6T and Y6T no not applicable Polar functions r1 r2 r3 r4 r5 r6 no not applicable Sequence functions u v w no not applicable Stat plots Plot1 Plot2 Plot3 no not applic...

Page 339: ...you may need to unarchive existing variables to create more free space To archive or unarchive a list variable L1 using the Archive UnArchive options from the MEMORY menu 1 Press y L to display the M...

Page 340: ...selected portions of memory while preserving other data stored in memory such as programs and Y functions For instance you can choose to reset all of RAM or just restore the default settings Be aware...

Page 341: ...g RAM defaults restores all system variables to default settings without deleting variables and programs in RAM Resetting all RAM or resetting defaults does not affect variables and applications in us...

Page 342: ...memory follow these steps 1 From the RAM ARCHIVE ALL menu press to display the ARCHIVE menu 2 Select one of the following 1 Vars to display the RESET ARC VARS menu 2 Apps to display the RESET ARC APP...

Page 343: ...u To cancel the reset and return to the HOME screen press To continue with the reset select 2 Reset The message MEM cleared is displayed on the HOME screen When you clear memory the contrast sometimes...

Page 344: ...ata you want to group You can select 1 All which shows all variables of all types available and selected You can also select 2 All which shows all variables of all types available but not selected A s...

Page 345: ...group stored in user data archive and place them ungrouped in RAM DuplicateName Menu During the ungrouping action if a duplicate variable name is detected in RAM the DUPLICATE NAME menu is displayed N...

Page 346: ...ops and no further changes are made To ungroup a group of variables 1 Press y L to display the MEMORY menu 2 Select 8 Group to display the GROUP UNGROUP menu 3 Press to display the UNGROUP menu 4 Pres...

Page 347: ...additional space is freed the variable may or may not be archived If not you can unarchive some variables and try again variable B variable C variable A variable D Depending on its size variable D is...

Page 348: ...hows Enough Free Space Even if the MEMORY screen shows enough free space to archive a variable or store an application you may still get a Garbage Collect message or an ERR ARCHIVE FULL message When y...

Page 349: ...mory This is done by using the GarbageCollect command To use the GarbageCollect command follow these steps 1 From the HOME screen press y N to display the CATALOG 2 Press or to scroll the CATALOG unti...

Page 350: ...n within a continuous block of memory When the message is displayed it will indicate the largest single space of memory available for storing a variable and an application To resolve the problem use t...

Page 351: ...ess y 1 to store the matrix to A 3 On the sending unit press y L to display the MEMORY menu 4 On the sending unit press 2 to select 2 Mem Mgmt Del The MEMORY MANAGEMENT menu is displayed 5 On the send...

Page 352: ...operating system software installed For example if you send a list that contains fractions OS 2 53MP and higher to a calculator with OS 2 43 a version error displays because OS 2 43 does not support f...

Page 353: ...a personal computer The TI 84 Plus USB link port is located at the top right edge of the graphing calculator 1 Firmly insert either end of the USB unit to unit cable into the USB port 2 Insert the ot...

Page 354: ...s L1 through L6 6 GDB Displays all graph databases 7 Pic Displays all picture data types 8 Matrix Displays all matrix data types 9 Real Displays all real variables 0 Complex Displays all complex varia...

Page 355: ...e receiving unit which indicates it is set to receive 3 Press to select 1 Transmit The name and type of each item are displayed line by line on the sending unit as the item is queued for transmission...

Page 356: ...y 8 on the sending unit 9 Select only the data type For example if the unit just sent a list select 4 LIST Note The item s you want to send are pre selected from the last transmission Do not select o...

Page 357: ...Quit from the Error in Xmit menu When transmission is complete the unit exits the receive mode You can select 1 Receive again to receive more items The receiving unit then displays a list of items re...

Page 358: ...l variables and programs from a TI 83 to a TI 84 Plus if they fit in the RAM of the TI 84 Plus The RAM of the TI 84 Plus is slightly less than the RAM of the TI 83 Backing Up RAM Memory Warning H Back...

Page 359: ...83 TI 82 or TI 73 with variables or features not recognized by the TI 83 Plus TI 83 Plus Silver Edition TI 83 TI 82 or TI 73 New variable types and features not recognized by the TI 83 TI 83 Plus TI 8...

Page 360: ...if the receiving unit does not have sufficient memory to receive an item the Memory Full menu is displayed on the receiving unit To skip this item for the current transmission select 1 Omit Transmissi...

Page 361: ...set instructions only when you are in the program editor Function or Instruction Arguments Result Key or Keys Menu or Screen Item abs value Returns the absolute value of a real number expression list...

Page 362: ...ty p of success on each trial y DISTR A binompdf checkTmr starttime Returns the number of seconds since you used startTmr to start the timer The starttime is the value displayed by startTmr y N checkT...

Page 363: ...e complex conjugate of a complex number or list of complex numbers CPX 1 conj Connected Sets connected plotting mode resets all Y editor graph style settings to z Connected CoordOff Turns off cursor c...

Page 364: ...CALC D dbd DEC Answers Displays answers as integers or decimal numbers z Answers DEC value4Dec Displays a real or complex number expression list or matrix in decimal format MATH 2 4Dec Degree Sets de...

Page 365: ...style settings to z Dot DrawF expression Draws expression in terms of X on the graph y DRAW 6 DrawF DrawInv expression Draws the inverse of expression by plotting X values on the y axis and Y values o...

Page 366: ...equ CALC 0 ExpReg ExprOff Turns off the expression display during TRACE y ExprOff ExprOn Turns on the expression display during TRACE y ExprOn cdf lowerbound upperbound numerator df denominator df Com...

Page 367: ...d increment commands End commands Executes commands through End incrementing variable from begin by increment until variable end CTL 4 For fPart value Returns the fractional part or parts of a real or...

Page 368: ...alc getDate Returns a list giving the date according to the current value of the clock The list is in year month day format y N getDate getDtFmt Returns an integer representing the date format that is...

Page 369: ...ion commandA commands If condition 0 false skips commandA CTL 1 If If condition Then commands End commands Executes commands from Then to End if condition 1 true CTL 2 Then If condition Then commands...

Page 370: ...ed by m and s y DISTR 3 invNorm invT area df Computes the inverse cumulative student t probability function specified by degree of freedom df for a given area under the curve y DISTR 4 invT iPart valu...

Page 371: ...tname Ylistname freqlist alternative regequ Performs a linear regression and a t test alternative L1 is alternative 0 is alternative 1 is TESTS F LinRegTTest List list Returns a list containing the di...

Page 372: ...he larger of each pair of elements in listA and listB y 9 MATH 2 max max value list Returns a real or complex list of the larger of value or each list element y 9 MATH 2 max mean list freqlist Returns...

Page 373: ...Displays results as a simple fraction t 1 n d or NUM D n d nDeriv expression variable value H Returns approximate numerical derivative of expression with respect to variable at value with specified H...

Page 374: ...ALC 7 npv valueA or valueB Returns 1 if valueA or valueB is 0 valueA and valueB can be real numbers expressions or lists y LOGIC 2 or Output row column text Displays text beginning at specified row an...

Page 375: ...mt_End Specifies an ordinary annuity where payments occur at the end of each payment period 1 Finance CALC E Pmt_End poissoncdf m x Computes a cumulative probability at x for the discrete Poisson dist...

Page 376: ...6 2 PropZTest Pt Change x y Reverses a point at x y y POINTS 3 Pt Change Pt Off x y mark Erases a point at x y using mark y POINTS 2 Pt Off Pt On x y mark Draws a point at x y using mark y POINTS 1 Pt...

Page 377: ...ger within a range specified by lower and upper integer bounds for a specified number of trials numtrials PRB 5 randInt randIntNoRep lowerint upperint Returns a random ordered list of integers from a...

Page 378: ...0 remainder remainder list list Reports the remainder as a whole number from a division of two lists NUM 0 remainder Repeat condition commands End commands Executes commands until condition is true C...

Page 379: ...ariances TESTS 0 2 SampTInt 2 SampTInt v1 Sx1 n1 v2 Sx2 n2 confidence level pooled Summary stats input Computes a two sample t confidence interval pooled 1 pools variances pooled 0 does not pool varia...

Page 380: ...S 5 seq Seq Sets sequence graphing mode z Seq Sequential Sets mode to graph functions sequentially z Sequential setDate year month day Sets the date using a year month day format The year must be 4 di...

Page 381: ...of a real number expression or list y N sinh sinhL1 value Returns the hyperbolic arcsine of a real number expression or list y N sinhL1 SinReg iterations Xlistname Ylistname period regequ Attempts ite...

Page 382: ...subset of another string from begin to length y N sub sum list start end Returns the sum of elements of list from start to end y 9 MATH 5 sum summation G expression start end Displays the MathPrint s...

Page 383: ...DISTR 5 tpdf Trace Displays the graph and enters TRACE mode r T Test m0 listname freqlist alternative drawflag Data list input Performs a t test with frequency freqlist alternative L1 is alternative...

Page 384: ...of the elements in list with frequency freqlist y 9 MATH 8 variance Vertical x Draws a vertical line at x y DRAW 4 Vertical vwAxes Sets sequence graphs to plot v n on the x axis and w n on the y axis...

Page 385: ...ZOOM 8 ZInteger ZInterval s listname freqlist confidence level Data list input Computes a z confidence interval TESTS 7 ZInterval ZInterval s v n confidence level Summary stats input Computes a z conf...

Page 386: ...sults drawflag 0 calculates results TESTS 1 Z Test Z Test m0 s v n alternative drawflag Summary stats input Performs a z test alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws resul...

Page 387: ...ter than valueA valueB Returns 1 if valueA valueB Returns 0 if valueA valueB valueA and valueB can be real or complex numbers expressions or lists y TEST 3 Less than or equal valueA valueB Returns 1 i...

Page 388: ...value Multiplication listA listB Returns listA elements times listB elements Multiplication value matrix Returns value times matrix elements Multiplication matrixA matrixB Returns matrixA times matrix...

Page 389: ...listA elements Subtraction matrixANmatrixB Subtracts matrixB elements from matrixA elements Minutes notation degrees minutes s econds Interprets minutes angle measurement as minutes y ANGLE 2 Seconds...

Page 390: ...of data to them The variables Str1 through Str9 and Str0 are restricted to strings you cannot store another type of data to them Except for system variables you can store any string of characters fun...

Page 391: ...hm applies nonlinear recursive least squares techniques to optimize the following cost function which is the sum of the squares of the residual errors This technique attempts to estimate the constants...

Page 392: ...of squares SS that make up the mean squares are The degrees of freedom df that make up the mean squares are Errordf ni 1 i 1 I denominatordf for I xi Sxi ni x 2 SampFTest Below is the definition for t...

Page 393: ...2 Limits must satisfy the following where Lbnd Ubnd lower and upper limits The statistic is used as the bound producing the smallest integral The remaining bound is selected to achieve the preceding i...

Page 394: ...is the pooled variance Financial Formulas This section contains financial formulas for computing time value of money amortization cash flow interest rate conversions and days between dates Time Value...

Page 395: ...PV FV 1 i N 1 PMT PV FV N PV PMT Gi i FV 1 1 i N PMT Gi i PV FV PMT N FV PMT Gi i 1 i N PV PMT Gi i Appendix B Reference Information 388 The iteration used to compute i where i 0 where i 0 where i 0 w...

Page 396: ...0 RND PV Iterate from m 1 to pmt2 then Balance principal and interest are dependent on the values of PMT PV and pmt1 and pmt2 Cash Flow where Sj ni i 1 j j 1 0 j 0 Net present value is dependent on t...

Page 397: ...tion you can enter or compute a date within the range Jan 1 1950 through Dec 31 2049 Actual actual day count method assumes actual number of days per month and actual number of days per year dbd days...

Page 398: ...tions such as or 8 Logic operator and 9 Logic operators or and xor Remember that EOS evaluates from left to right and calculations within parentheses are evaluated first You should use parentheses whe...

Page 399: ...ve L1 or any file to Restore Message Your TI 84 Plus displays the Link Receive L1 or any file to Restore message if it has been disabled for testing and not re enabled To restore your calculator to fu...

Page 400: ...to you It is always a good idea to back up your graphing calculator device files and Apps using the TI Connect software and a USB computer cable You can find the specific procedures for backing up yo...

Page 401: ...ed to send or receive an application and an error e g electrical interference has occurred in the transmission BAD GUESS In a CALC operation you specified a Guess that is not between Left Bound and Ri...

Page 402: ...I 82 You attempted to transfer L1 through L6 from a TI 84 Plus to a TI 82 without using 5 Lists to TI82 on the LINK SEND menu ID NOT FOUND This error occurs when the SendID command is executed but the...

Page 403: ...items from memory before executing the instruction or function Recursive problems return this error for example graphing the equation Y1 Y1 Branching out of an If Then For While or Repeat loop with a...

Page 404: ...x A displays the arguments and punctuation needed to execute the function or instruction For example stdDev list freqlist is a function of the TI 84 Plus The arguments are shown in italics The argumen...

Page 405: ...en or a program in Full screen mode Xmax is calculated as Xmin X 94 In G T split screen mode Xmax is calculated as Xmin X 46 Ymin is the center of the next to the bottom pixel Ymax is the center of th...

Page 406: ...ost functions at least five accurate digits exist For fMin fMax and fnInt on the MATH menu and solve in the CATALOG the tolerance can be specified Function Limits Function Range of Input Values sin x...

Page 407: ...ry Information When to Replace the Batteries The TI 84 Plus uses five batteries four AAA alkaline batteries and one button cell backup battery The backup battery provides auxiliary power to retain mem...

Page 408: ...iagrams Do not place nonrechargeable batteries in a battery recharger Properly dispose of used batteries immediately Do not leave them within the reach of children Do not incinerate or dismantle batte...

Page 409: ...is displayed follow these steps Note the error type ERR error type Select 2 GOTO if it is available The previous screen is displayed with the cursor at or near the error location Determine the error...

Page 410: ...set your graphing calculator the contrast sometimes changes If the screen is faded or blank adjust the contrast by pressing y and releasing or 7 If the above solutions do not work you can reset all of...

Page 411: ...ne proportion z confidence interval 232 369 1 PropZTest one proportion z test 227 369 1 Var Stats one variable statistics 200 377 2 PropZInt two proportion z confidence interval 232 369 2 PropZTest tw...

Page 412: ...56 ClrTable clear table 292 356 coefficients of determination r2 R2 196 colon separator 278 combinations nCr 57 366 compiling an assembly program 294 354 complex modes a bi re qi 17 50 355 370 numbers...

Page 413: ...entry notation 60 382 Dot plotting mode 17 358 dot graph style 71 dot pixel mark 132 210 dr dq operation on a graph 101 DRAW menu 122 Draw output option 218 220 DRAW POINTS menu 131 DRAW STO draw sto...

Page 414: ...TVM 255 Fix fixed decimal mode 16 359 fixed decimal mode Fix 16 359 Float floating decimal mode 16 359 floating decimal mode Float 16 359 fMax function maximum 360 fMin function minimum 40 360 fnInt f...

Page 415: ...2 If Then Else 282 362 imag imaginary part 55 362 imaginary part imag 55 imaginary part imag 362 implied multiplication 29 increment and skip IS 286 increment and skip IS 363 independent variable 116...

Page 416: ...ring and displaying 163 using to graph a family of curves 77 164 using with math operations 36 167 ln 37 364 LnReg logarithmic regression 202 364 log 37 364 Logistic regression 203 364 logistic regres...

Page 417: ...operator 63 367 nPr permutations 57 367 npv net present value 258 367 numerical derivative 40 89 96 101 numerical integral 40 90 O Omit 338 351 one proportion z confidence interval 1 PropZInt 232 369...

Page 418: ...ratic regression 201 370 QuartReg quartic regression 202 370 Quick Zoom 80 Quit 338 351 R r correlation coefficient 196 R radian notation 61 379 r2 R2 coefficients of determination 196 R4Pr R4Pq recta...

Page 419: ...4 sinh hyperbolic arcsine 273 374 SinReg sinusoidal regression 203 374 Smart Graph 76 solve 44 374 Solver 42 solving for variables in the equation solver 43 SortA sort ascending 168 194 374 SortD sort...

Page 420: ...lines drawing 126 Tangent draw line 126 375 tanh hyperbolic tangent 273 375 tanh hyperbolic arctangent 273 375 TblStart table start variable 116 tcdf student t distribution probability 244 375 TEST re...

Page 421: ...string 268 test and interval output 240 types 19 user and system 20 383 VARS and Y VARS menus 27 variance of a list variance 176 variance of a list variance 377 variance variance of a list 176 377 VAR...

Page 422: ...8 ZoomStat statistics zoom 83 378 ZoomSto store zoom window 85 378 ZPrevious use previous window 379 ZSquare set square pixels 82 379 ZStandard use standard window 83 379 Z Test one sample z test 223...

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