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Texas Instruments 83PL/CLM/1L1/V - 83 Plus Calc, Manual Book, Page: 195 / 827

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Texas Instruments 83PL/CLM/1L1/V - 83 Plus Calc Manual Book Download Page 195

TI-83 Plus

Sequence Graphing

192

Evaluating u, v, and w

To enter the sequence names 

u

, 

v,

 or 

w

, press 

y

 [

u

], [

v

], or [

w

]. You can

evaluate these names in any of three ways.

• 

Calculate the nth value in a sequence.

• 

Calculate a list of values in a sequence.

• 

Generate a sequence with 

u(

nstart

,

nstop

[,

nstep

])

. 

nstep

 is optional;

default is 1.

Summary of Contents for 83PL/CLM/1L1/V - 83 Plus Calc

Page 1: ...book On Off Graphing a function Menus Modes Using parentheses Lists Tables Data and lists Matrices Split screen Inferential statistics Archiving Unarchiving Programming Menu maps Sending and receiving...

Page 2: ...anyone for 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...

Page 3: ...no guarantee that interference will not occur in a particular installation If this equipment does cause harmful interference to radio or television reception which can be determined by turning the eq...

Page 4: ...TI 83 Plus Silver Edition Sometimes as in Chapter 19 the full name TI 83 Plus Silver Edition is used to distinguish it from the TI 83 Plus All the instructions and examples in this guidebook also wor...

Page 5: ...nction keys and scientific calculator keys Keyboard Zones Graphing Graphing keys access the interactive graphing features Editing Editing keys allow you to edit expressions and values Advanced Advance...

Page 6: ...TI 83 Plus Operating the TI 83 Plus Silver Edition 3 TI 83 Plus Editing Keys Advanced Function Keys Scientific Calculator Keys Graphing Keys Colors may vary in actual product...

Page 7: ...The blue key provides access to applications such as the Finance application The primary function of each key is printed on the keys For example when you press the MATH menu is displayed Using the y...

Page 8: ...alpha character printed in green above the other keys becomes active for the next keystroke For example when you press and then the letter A is entered This guidebook describes this keystroke combina...

Page 9: ...usly turned off the calculator the TI 83 Plus will return exactly as you left it including the display cursor and any error If the TI 83 Plus is turned off and you connect it to another calculator or...

Page 10: ...M All settings and memory contents are retained by Constant MemoryTM Any error condition is cleared Batteries The TI 83 Plus uses four AAA alkaline batteries and has a user replaceable backup lithium...

Page 11: ...t corner indicates the current level You may not be able to see the number if contrast is too light or too dark Note The TI 83 Plus has 40 contrast settings so each number 0 through 9 represents four...

Page 12: ...oad a new application Attempt to upgrade to new software To replace the batteries without losing any information in memory follow the steps in Appendix B Generally the calculator will continue to oper...

Page 13: ...ructions to execute and expressions to evaluate The answers are displayed on the same screen Displaying Entries and Answers When text is displayed the TI 83 Plus screen can display a maximum of 8 line...

Page 14: ...ist or matrix is too long to display entirely on one line an ellipsis is displayed to the right or left Press and to display the answer Entry Answer Returning to the Home Screen To return to the home...

Page 15: ...haracter is inserted in front of the cursor location Second Reverse arrow A 2nd character yellow on the keyboard is entered or a 2nd operation is executed Alpha Reverse A An alpha character green on t...

Page 16: ...der as you would write it on paper For example pR2 is an expression You can use an expression on the home screen to calculate an answer In most places where a value is required you can use an expressi...

Page 17: ...45 Do not enter the letters L O and G If you enter LOG the TI 83 Plus interprets the entry as implied multiplication of the variables L O and G Calculate 3 76 L7 9 5 2 log 45 3 76 7 9 y C 5 2 45 Multi...

Page 18: ...ntific notation the TI 83 Plus does not automatically display answers in scientific or engineering notation The mode settings and the size of the number determine the display format Functions A functi...

Page 19: ...n parenthesis at the end of the name For example Circle requires three arguments Circle X Y radius Interrupting a Calculation To interrupt a calculation or graph in progress which is indicated by the...

Page 20: ...een moves the cursor to the end of the expression y Moves the cursor to the beginning of an expression y Moves the cursor to the end of an expression Evaluates an expression or executes an instruction...

Page 21: ...es an alpha character a character in green above a key and to the right or executes SOLVE Chapters 10 and 11 to cancel press or press or y 7 Changes the cursor to sets alpha lock subsequent keystrokes...

Page 22: ...ing to the current mode settings To display the mode settings press z The current settings are highlighted Defaults are highlighted below The following pages describe the mode settings in detail Norma...

Page 23: ...a Mode from a Program You can set a mode from a program by entering the name of the mode as an instruction for example Func or Float From a blank program command line select the mode setting from the...

Page 24: ...the number can have one two or three digits before the decimal and the power of 10 exponent is a multiple of three as in 12 34567E3 Note If you select Normal notation but the answer cannot display in...

Page 25: ...x values Chapter 8 Results of CALCULATE operations Chapters 3 4 5 and 6 The regression equation stored after the execution of a regression model Chapter 12 Radian Degree Angle modes control how the TI...

Page 26: ...nction of X Chapter 3 Par parametric graphing mode plots relations where X and Y are functions of T Chapter 4 Pol polar graphing mode plots functions where r is a function of q Chapter 5 Seq sequence...

Page 27: ...value of X and then evaluates and plots them for the next value of X Note Regardless of which graphing mode is selected the TI 83 Plus will sequentially graph all stat plots before it graphs any func...

Page 28: ...Each split screen mode displays two screens simultaneously Horiz horizontal mode displays the current graph on the top half of the screen it displays the home screen or an editor on the bottom half Ch...

Page 29: ...ures and strings The TI 83 Plus uses assigned names for variables and other items saved in memory For lists you also can create your own five character names Variable Type Names Real numbers A B Z Com...

Page 30: ...mes as memory will allow Chapter 11 Programs have user defined names and share memory with variables Chapter 16 From the home screen or from a program you can store to matrices Chapter 10 lists Chapte...

Page 31: ...variables can be archived system variables including r t x y and q cannot be archived Chapter 18 Apps are independent applications which are stored in Flash ROM AppVars is a variable holder used to s...

Page 32: ...value of the variable at that time is used To store a value to a variable from the home screen or a program using the key begin on a blank line and follow these steps 1 Enter the value you want to sto...

Page 33: ...a section of memory called user data archive where they cannot be edited or deleted inadvertently Archived variables are indicated by asterisks to the left of the variable names Archived variables can...

Page 34: ...ayed on the bottom line of the screen 2 Enter the name of the variable in any of five ways Press and then the letter of the variable Press y LIST and then select the name of the list or press y Ln Pre...

Page 35: ...e you selected is displayed on the bottom line and the cursor disappears 3 Press The variable contents are inserted where the cursor was located before you began these steps Note You can edit the char...

Page 36: ...called ENTRY last entry When you turn off the TI 83 Plus ENTRY is retained in memory To recall ENTRY press y The last entry is pasted to the current cursor location where you can edit and execute it O...

Page 37: ...entry is more than 128 bytes it is retained for ENTRY but it cannot be placed in the ENTRY storage area 1 A 2 B y If you press y after displaying the oldest stored entry the newest stored entry is dis...

Page 38: ...Multiple Entry Values on a Line To store to ENTRY two or more expressions or instructions separate each expression or instruction with a colon then press All expressions and instructions separated by...

Page 39: ...ate as you want Clearing ENTRY Clear Entries Chapter 18 clears all data that the TI 83 Plus is holding in the ENTRY storage area Using Ans in an Expression When an expression is evaluated successfully...

Page 40: ...Ans in the calculation Calculate the area of a garden plot 1 7 meters by 4 2 meters Then calculate the yield per square meter if the plot produces a total of 147 tomatoes 1 7 4 2 147 y Z Continuing an...

Page 41: ...To store an answer store Ans to a variable before you evaluate another expression Calculate the area of a circle of radius 5 meters Next calculate the volume of a cylinder of radius 5 meters and heig...

Page 42: ...yed beginning with item 1 which also is highlighted A number or letter identifies each menu item s place in the menu The order is 1 through 9 then 0 then A B C and so on The LIST NAMES PRGM EXEC and P...

Page 43: ...ndix A shows each menu each operation under each menu and the key or key combination you press to display each menu Displaying a Menu While using your TI 83 Plus you often will need to access items fr...

Page 44: ...t each menu name Scrolling a Menu To scroll down the menu items press To scroll up the menu items press To page down six menu items at a time press To page up six menu items at a time press The green...

Page 45: ...select an item from a menu the TI 83 Plus typically displays the previous screen Note On the LIST NAMES PRGM EXEC and PRGM EDIT menus only items 1 through 9 and 0 are labeled in such a way that you ca...

Page 46: ...ction 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 combination for a different m...

Page 47: ...menu press All VARS menu items display secondary menus which show the names of the system variables 1 Window 2 Zoom and 5 Statistics each access more than one secondary menu VARS Y VARS 1 Window X Y T...

Page 48: ...XnT YnT functions 3 Polar rn functions 4 On Off Lets you select deselect functions Note The sequence variables u v w are located on the keyboard as the second functions of and To select a variable fro...

Page 49: ...TI 83 Plus Silver Edition 46 3 If you selected 1 Window 2 Zoom or 5 Statistics from the VARS menu you can press or to display other secondary menus 4 Select a variable name from the menu It is pasted...

Page 50: ...straightforward sequence EOS evaluates the functions in an expression in this order Order Number Function 1 Functions that precede the argument such as sin or log 2 Functions that are entered after t...

Page 51: ...cation rules although like theTI 83 differ from those of the TI 82 For example the TI 83 Plus evaluates 1 2X as 1 2 X while the TI 82 evaluates 1 2X as 1 2 X Chapter 2 Parentheses All calculations ins...

Page 52: ...e the negation key Press and then enter the number On the TI 83 Plus negation is in the third level in the EOS hierarchy Functions in the first level such as squaring are evaluated before negation For...

Page 53: ...versions include 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 t...

Page 54: ...ter for later use or linked unit to unit For details refer to Chapter 18 Archiving You can store variables in the TI 83 Plus user data archive a protected area of memory separate from RAM The user dat...

Page 55: ...and CBR let you explore mathematical and scientific relationships among distance velocity acceleration and time using data collected from activities you perform CBL 2 CBL and CBR differ in that CBL 2...

Page 56: ...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 For graphing details refe...

Page 57: ...split the screen horizontally to display both a graph and a related editor such as the Y editor the table the stat list editor or the home screen Also you can split the screen vertically to display a...

Page 58: ...tics You can perform one and two variable list based statistical analyses including logistic and sine regression analysis You can plot the data as a histogram xyLine scatter plot modified or regular b...

Page 59: ...the CBL CBR applications and CBL 2 CBL or CBR optional accessories you can use a variety of probes to collect real world data Your TI 83 Plus includes Flash applications in addition to the ones menti...

Page 60: ...o user data archive where they cannot be edited or deleted inadvertently Archiving also allows you to free up RAM for variables that may require additional memory For details refer to Chapter 16 Archi...

Page 61: ...re and a TI GRAPH LINK cable you can also link the TI 83 Plus to a personal computer As future software upgrades become available on the TI web site you can download the software to your PC and then u...

Page 62: ...returns an error message as a menu title such as ERR SYNTAX or ERR DOMAIN Appendix B describes each error type and possible reasons for the error If you select 1 Quit or press y 5 or then the home scr...

Page 63: ...ct an error follow these steps 1 Note the error type ERR error type 2 Select 2 Goto if it is available The previous screen is displayed with the cursor at or near the error location 3 Determine the er...

Page 64: ...ps result in heads You want to perform this simulation 40 times With a fair coin the probability of a coin flip resulting in heads is 0 5 and the probability of a coin flip resulting in tails is 0 5 1...

Page 65: ...In this example the coin came up heads five times in the first set of 10 coin flips five times in the second set of 10 coin flips and so on 3 Press or to view the additional counts in the list Ellips...

Page 66: ...tion Division You can use addition N subtraction multiplication and division with real and complex numbers expressions lists and matrices You cannot use with matrices valueA valueB valueA N valueB val...

Page 67: ...sinL1 value cosL1 value tanL1 value Note The trig functions do not operate on complex numbers Power 2 Square Square Root You can use power 2 square and square root y C with real and complex numbers ex...

Page 68: ...ons and lists log value 10 power ln value e 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 e power e Constant e...

Page 69: ...en negation is evaluated For example LA2 returns a negative number because squaring is evaluated before negation Use parentheses to square a negated number as in LA 2 Note On the TI 83 Plus the negati...

Page 70: ...mum of a function 7 fMax Finds the maximum of a function 8 nDeriv Computes the numerical derivative 9 fnInt Computes the function integral 0 Solver Displays the equation solver 4Frac 4Dec 4Frac displa...

Page 71: ...mplex numbers expressions lists and matrices You can only use 4Dec following value value 4Dec 3 Cube 3 Cube Root 3 cube returns the cube of value You can use 3 with real or complex numbers expressions...

Page 72: ...which the local minimum or local maximum value of expression with respect to variable occurs between lower and upper values for variable fMin and fMax are not valid in expression The accuracy is contr...

Page 73: ...d only for real numbers nDeriv expression variable value H nDeriv uses the symmetric difference quotient method which approximates the numerical derivative value as the slope of the secant line throug...

Page 74: ...with respect to variable given lower limit upper limit and a tolerance if not specified the default is 1 L5 fnInt is valid only for real numbers fnInt expression variable lower upper tolerance Tip To...

Page 75: ...r one of two screens is displayed The equation editor see step 1 picture below is displayed when the equation variable eqn is empty The interactive solver editor is displayed when an equation is store...

Page 76: ...pasted to the equation solver The expression is stored to the variable eqn as you enter it 3 Press or The interactive solver editor is displayed The equation stored in eqn is set equal to zero and dis...

Page 77: ...a value for a variable in the interactive solver editor the new value is stored in memory to that variable You can enter an expression for a variable value It is evaluated when you move to the next v...

Page 78: ...ctive solver editor if not already displayed 2 Enter or edit the value of each known variable All variables except the unknown variable must contain a value To move the cursor to the next variable pre...

Page 79: ...ss above the key The solution is displayed next to the variable for which you solved A solid square in the first column marks the variable for which you solved and indicates that the equation is balan...

Page 80: ...he interactive equation solver is displayed press until the equation editor is displayed Then edit the equation Equations with Multiple Roots Some equations have more than one solution You can enter a...

Page 81: ...Program The function 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...

Page 82: ...ue 2 round Round 3 iPart Integer part 4 fPart Fractional part 5 int Greatest integer 6 min Minimum value 7 max Maximum value 8 lcm Least common multiple 9 gcd Greatest common divisor abs abs absolute...

Page 83: ...ue is rounded to the digits that are displayed up to 10 digits round value decimals iPart fPart iPart integer part returns the integer part or parts of real or complex numbers expressions lists and ma...

Page 84: ...e as the result of iPart for nonnegative numbers and negative integers but one integer less than the result of iPart for negative noninteger numbers min max min minimum value returns the smaller of va...

Page 85: ...te 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 listA and listB are specified...

Page 86: ...TI 83 Plus Math Angle and Test Operations 83 lcm valueA valueB gcd valueA valueB lcm listA listB gcd listA listB lcm list value gcd list value...

Page 87: ...ber mode press z and then select either of the two modes a bi rectangular complex mode re qi polar complex mode On the TI 83 Plus complex numbers can be stored to variables Also complex numbers are va...

Page 88: ...nd is executed Note about Radian Versus Degree Mode Radian mode is recommended for complex number calculations Internally the TI 83 Plus converts all entered trigonometric values to radians but it doe...

Page 89: ...n instruction In the example below polar complex re qi and Radian modes are set Rectangular Complex Mode Rectangular complex mode recognizes and displays a complex number in the form a bi where a is t...

Page 90: ...s and displays a complex number in the form re qi where r is the magnitude e is the base of the natural log q is the angle and i is a constant equal to 1 To enter a complex number in polar form enter...

Page 91: ...turns the real part 3 imag Returns the imaginary part 4 angle Returns the polar angle 5 abs Returns the magnitude modulus 6 4Rect Displays the result in rectangular form 7 4Polar Displays the result i...

Page 92: ...turns the real part of a complex number or list of complex numbers real a bi returns a real re qi returns r cos q imag imag imaginary part returns the imaginary nonreal part of a complex number or lis...

Page 93: ...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 quadrant angle a bi returns tanL1 b a angle re qi returns q where Lp q p abs ab...

Page 94: ...gular form It is valid only at the end of 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...

Page 95: ...ger generator 6 randNorm Random from Normal distribution 7 randBin Random from Binomial distribution rand rand random number generates and returns one or more random numbers 0 and 1 To generate a list...

Page 96: ...t 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 permutations returns the number of permut...

Page 97: ...L 5 and 69 value Note The factorial is computed recursively using the relationship n 1 n n until n is reduced to either 0 or L1 2 At that point the definition 0 1 or the definition L1 2 p is used to...

Page 98: ...rials number of trials if not specified the default is 1 randInt lower upper numtrials randNorm randNorm random Normal generates and displays a random real number from a specified Normal distribution...

Page 99: ...bution numtrials number of trials must be 1 prob probability of success must be 0 and 1 To generate a list of random numbers specify an integer 1 for numsimulations number of simulations if not specif...

Page 100: ...tries ANGLE 1 Degree notation 2 DMS minute notation 3 r Radian notation 4 8DMS Displays as degree minute second 5 R8Pr Returns r given X and Y 6 R8Pq Returns q given X and Y 7 P8Rx Returns x given R a...

Page 101: ...es and seconds Degree mode Radian mode Degree degree designates an angle or list of angles as degrees regardless of the current angle mode setting In Radian mode you can use to convert degrees to radi...

Page 102: ...less of the current angle mode setting In Degree mode you can use r to convert radians to degrees valuer Degree mode 8DMS 8DMS degree minute second displays answer in DMS format The mode setting must...

Page 103: ...q converts rectangular coordinates to polar coordinates and returns q x and y can be lists R8Pr x y R8Pq x y Note Radian mode is set P8Rx converts polar coordinates to rectangular coordinates and retu...

Page 104: ...al to Relational operators compare valueA and valueB and return 1 if the test is true or 0 if the test is false valueA and valueB can be real numbers expressions or lists For and only valueA and value...

Page 105: ...l operators are evaluated after mathematical functions according to EOS rules Chapter 1 The expression 2 2 2 3 returns 0 The TI 83 Plus performs the addition first because of EOS rules and then it com...

Page 106: ...e value is zero false 4 not The value is zero false Boolean Operators Boolean operators are often used in programs to control program flow and in graphing to control the graph of the function over spe...

Page 107: ...valueA valueB and or xor 0 0 returns 1 1 0 0 0 returns 0 1 1 0 0 returns 0 1 1 0 0 returns 0 0 0 not not returns 1 if value which can be an expression is 0 not value Using Boolean Operations Boolean...

Page 108: ...ircle Then use ZSquare zoom square to adjust the display and make the functions appear as a circle 1 In Func mode press o to display the Y editor Press y 100 to enter the expression Y 100NX2 which def...

Page 109: ...ot need to press s Notice that the functions appear as an ellipse in the standard viewing window 3 To adjust the display so that each pixel represents an equal width and height press q 5 to select 5 Z...

Page 110: ...to parametric graphing polar graphing and sequence graphing Defining a Graph To define a graph in any graphing mode follow these steps Some steps are not always necessary 1 Press z and set the appropr...

Page 111: ...raph to any of 10 graph database variables GDB1 through GDB9 and GDB0 Chapter 8 To recreate the current graph later simply recall the graph database to which you stored the original graph These types...

Page 112: ...low To graph functions you must select Func mode before you enter values for the window variables and before you enter the functions The TI 83 Plus has four graphing modes Func function graphing Par p...

Page 113: ...or Simul graphing order mode affects function plotting when more than one function is selected Setting Modes from a Program To set the graphing mode and other modes from a program begin on a blank li...

Page 114: ...gh Y9 and Y0 You can graph one or more defined functions at once In this example functions Y1 and Y2 are defined and selected Defining or Editing a Function To define or edit a function follow these s...

Page 115: ...you enter the first character the is highlighted indicating that the function is selected As you enter the expression it is stored to the variable Yn as a user defined function in the Y editor 4 Pres...

Page 116: ...he instruction expression Yn When the instruction is executed the TI 83 Plus stores the expression to the designated variable Yn selects the function and displays the message Done Evaluating Y Functio...

Page 117: ...phs only the selected functions You can select any or all functions Y1 through Y9 and Y0 To select or deselect a function in the Y editor follow these steps 1 Press o to display the Y editor 2 Move th...

Page 118: ...e To change the on off status of a stat plot from the Y editor press and to place the cursor on Plot1 Plot2 or Plot3 and then press Selecting and Deselecting Functions from the Home Screen or a Progra...

Page 119: ...u want to turn on or turn off If you enter two or more numbers separate them with commas To turn on or turn off all functions do not enter a number after FnOn or FnOff FnOn function function function...

Page 120: ...ne connects plotted points this is the default in Connected mode Thick A thick solid line connects plotted points Above Shading covers the area above the graph Below Shading covers the area below the...

Page 121: ...e the cursor to the function 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 repeated...

Page 122: ...shade the second Negatively sloping diagonal lines shade the third Positively sloping diagonal lines shade the fourth The rotation returns to vertical lines for the fifth or function repeating the or...

Page 123: ...u press while in the program editor function is the number of the Y function name in the current graphing mode graphstyle is an integer from 1 to 7 that corresponds to the graph style as shown below 1...

Page 124: ...marks on the y axis To turn off tick marks set Xscl 0 and Yscl 0 Xmax Ymin Ymax Xscl Yscl Xmin Displaying the Window Variables To display the current window variable values press p The window editor a...

Page 125: ...lue To change a window variable value from the window editor follow these steps 1 Press or to move the cursor to the window variable you want to change 2 Edit the value which can be an expression Ente...

Page 126: ...want to store 2 Press 3 Press to display the VARS menu 4 Select 1 Window to display the Func window variables X Y secondary menu Press to display the Par and Pol window variables T q secondary menu P...

Page 127: ...items 8 and 9 on the VARS 1 Window X Y secondary menu define the distance from the center of one pixel to the center of any adjacent pixel on a graph graphing accuracy X and Y are calculated from Xmi...

Page 128: ...f or on AxesOn AxesOff Sets axes on or off LabelOff LabelOn Sets axes label off or on ExprOn ExprOff Sets expression display on or off Format settings define a graph s appearance on the display Format...

Page 129: ...les 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 format is...

Page 130: ...each axis GridOff does not display grid points GridOn displays grid points AxesOn AxesOff AxesOn displays the axes AxesOff does not display the axes This overrides the LabelOff LabelOn format setting...

Page 131: ...xpression when the trace cursor is active This format setting also applies to stat plots When ExprOn is selected the expression is displayed in the top left corner of the graph screen When ExprOff and...

Page 132: ...the busy indicator is on As the graph is plotted X and Y are updated Pausing or Stopping a Graph While plotting a graph you can pause or stop graphing Press to pause then press to resume Press to stop...

Page 133: ...a function or stat plot Changed the value of a variable in a selected function Changed a window variable or graph format setting Cleared drawings by selecting ClrDraw Changed a stat plot definition O...

Page 134: ...the list thereby graphing a family of curves In Simul graphing order mode it graphs all functions sequentially for the first element in each list and then for the second and so on 2 4 6 sin X graphs...

Page 135: ...of the cursor location are displayed at the bottom of the screen if CoordOn format is selected The Float Fix decimal mode setting determines the number of decimal digits displayed for the coordinate v...

Page 136: ...ction use r The coordinate values displayed as you move the cursor approximate actual math coordinates accurate to within the width and height of the pixel As Xmin Xmax Ymin and Ymax get closer togeth...

Page 137: ...editor at the middle X value on the screen The cursor coordinates are displayed at the bottom of the screen if CoordOn format is selected The Y expression is displayed in the top left corner of the sc...

Page 138: ...nction To move the trace cursor from function to function press and The cursor follows the order of the selected functions in the Y editor The trace cursor moves to each function at the same X value I...

Page 139: ...yond the left or right side of the screen the viewing window automatically pans to the left or right Xmin and Xmax are updated to correspond to the new viewing window Quick Zoom While tracing you can...

Page 140: ...lotted the graph Using TRACE in a Program On a blank line in the program editor press r The instruction Trace is pasted to the cursor location When the instruction is encountered during program execut...

Page 141: ...a box to define the viewing window 2 Zoom In Magnifies the graph around the cursor 3 Zoom Out Views more of a graph around the cursor 4 ZDecimal Sets X and Y to 0 1 5 ZSquare Sets equal size pixels o...

Page 142: ...m the ZOOM menu The zoom cursor is displayed at the center of the screen 2 Move the zoom cursor to any spot you want to define as a corner of the box and then press When you move the cursor away from...

Page 143: ...nds the cursor location Zoom Out displays a greater portion of the graph centered on the cursor location The XFact and YFact settings determine the extent of the zoom To zoom in on a graph follow thes...

Page 144: ...m in at a new point move the cursor to the point that you want as the center of the new viewing window and then press To zoom out on a graph select 3 Zoom Out and repeat steps 3 through 5 To cancel Zo...

Page 145: ...current graph not the intersection of the axes becomes the midpoint of the new graph ZStandard ZStandard replots the functions immediately It updates the window variables to the standard values shown...

Page 146: ...replots the functions X 1 Xscl 10 Y 1 Yscl 10 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...

Page 147: ...rs ZPrevious ZPrevious replots the 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...

Page 148: ...r defined values and the graph is plotted ZOOM FACTORS The zoom factors XFact and YFact are positive numbers not necessarily integers greater than or equal to 1 They define the magnification or reduct...

Page 149: ...n you enter the first digit Place the cursor on the digit you want to change and then enter a value or press to delete it Using ZOOM MEMORY Menu Items from the Home Screen or a Program From the home s...

Page 150: ...ro x intercept of a function 3 minimum Finds a minimum of a function 4 maximum Finds a maximum of a function 5 intersect Finds an intersection of two functions 6 dy dx Finds a numeric derivative of a...

Page 151: ...d Xmax 3 Press The cursor is on the first selected function in the Y editor at the X value you entered and the coordinates are displayed even if CoordOff format is selected To move the cursor from fun...

Page 152: ...th Left Bound in the bottom left corner 2 Press or to move the cursor onto the function for which you want to find a zero 3 Press or or enter a value to select the x value for the left bound of the in...

Page 153: ...e to the same x value for other selected functions press or To restore the free moving cursor press or minimum maximum minimum and maximum find a minimum or maximum of a function within a specified in...

Page 154: ...moving cursor press or intersect intersect finds the coordinates of a point at which two or more functions intersect using solve The intersection must appear on the display to use intersect To find an...

Page 155: ...bottom left corner To restore the free moving cursor press or dy dx dy dx numerical derivative finds the numerical derivative slope of a function at a point with H 1 L3 To find a function s slope at...

Page 156: ...l derivative of a function follow these steps 1 Select 7 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 f...

Page 157: ...grees with the horizontal from ground level How far does the ball travel When does it hit the ground How high does it go Ignore all forces except gravity For initial velocity v0 and angle q the positi...

Page 158: ...parametric equations in this example 2 Press o Press 30 25 y 1 to select to define X1T in terms of T 3 Press 30 25 y 1 9 8 2 to define Y1T The vertical component vector is defined by X2T and Y2T 4 Pr...

Page 159: ...graph style to for X3T 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 originall...

Page 160: ...ing through the air set graph style to animate for X1T and Y1T 11 Press r to obtain numerical results and answer the questions at the beginning of this section Tracing begins at Tmin on the first para...

Page 161: ...ith Chapter 3 Function Graphing Chapter 4 details aspects of parametric graphing that differ from function graphing Setting Parametric Graphing Mode To display the mode screen press z To graph paramet...

Page 162: ...e of each parametric equation Chapter 3 The default in Par mode is line which connects plotted points Line thick path animate and dot styles are available for parametric graphing Defining and Editing...

Page 163: ...components is changed Setting Window Variables To display the window variable values press p These variables define the viewing window The values below are defaults for Par graphing in Radian angle m...

Page 164: ...Plus plots the selected parametric equations It evaluates the X and Y components for each value of T from Tmin to Tmax in intervals of Tstep and then plots each point defined by X and Y The window va...

Page 165: ...TI 83 Plus Parametric Graphing 162 Store parametric equations Select or deselect parametric equations Store values directly to window variables...

Page 166: ...ected R and q are displayed TRACE To activate TRACE press r When TRACE is active you can move the trace cursor along the graph of the equation one Tstep at a time When you begin a trace the trace curs...

Page 167: ...ailable in Par graphing panning is not Chapter 3 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...

Page 168: ...are affected The T window variables Tmin Tmax and Tstep are only affected when you select ZStandard The VARS ZOOM secondary menu ZT Zq items 1 ZTmin 2 ZTmax and 3 ZTstep are the zoom memory variables...

Page 169: ...The polar equation R Asin Bq graphs a rose Graph the rose for A 8 and B 2 5 and then explore the appearance of the rose for other values of A and B 1 Press z to display the mode screen Press to select...

Page 170: ...metrical This is because the standard window sets qmax 2p and defines the window rather than the pixels as square 4 Press p to display the window variables Press 4 y B to increase the value of qmax to...

Page 171: ...amiliar with Chapter 3 Function Graphing Chapter 5 details aspects of polar graphing that differ from function graphing Setting Polar Graphing Mode To display the mode screen press z To graph polar eq...

Page 172: ...k path animate and dot styles are available for polar graphing Defining and Editing Polar Equations To define or edit a polar equation follow the steps in Chapter 3 for defining a function or editing...

Page 173: ...ngle mode qmin 0 Smallest q value to evaluate qmax 6 2831853 Largest q value to evaluate 2p qstep 1308996 Increment between q values p 24 Xmin L10 Smallest X value to be displayed Xmax 10 Largest X va...

Page 174: ...TI 83 Plus plots the selected polar equations 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...

Page 175: ...TI 83 Plus Polar Graphing 172 Store polar equations Select or deselect polar equations Store values directly to window variables...

Page 176: ...ress r When TRACE is active you can move the trace cursor along the graph of the equation one qstep at a time When you begin a trace the trace cursor is on the first selected function at qmin If ExprO...

Page 177: ...you entered are displayed in the bottom left corner of the screen You can enter an expression at the q prompt The value must be valid for the current viewing window When you complete the entry press t...

Page 178: ...TI 83 Plus Polar Graphing 175 CALC CALC operations in Pol graphing work the same as in Func graphing The CALCULATE menu items available in Pol graphing are 1 value 2 dy dx and 3 dr dq...

Page 179: ...all forest of 4 000 trees is under a new forestry plan Each year 20 percent of the trees will be harvested and 1 000 new trees will be planted Will the forest eventually disappear Will the forest size...

Page 180: ...l harvest 80 percent 80 of the trees remain Press 8 y u 1 to define the number of trees after each harvest Press 1000 to define the new trees Press 4000 to define the number of trees at the beginning...

Page 181: ...the forestry plan Press to trace the sequence year by year The sequence is displayed at the top of the screen The values for n number of years X X n because n is plotted on the x axis and Y tree count...

Page 182: ...ence graphing that differ from function graphing Setting Sequence Graphing Mode To display the mode screen press z To graph sequence functions you must select Seq graphing mode before you enter window...

Page 183: ...n such as u nN1 or u nN2 referenced in the sequence v n Note Statements in this chapter about u n are also true for v n and w n statements about u nN1 are also true for v nN1 and w nN1 statements abou...

Page 184: ...g Graph Styles The icons to the left of u n v n and w n represent the graph style of each sequence Chapter 3 The default in Seq mode is dot which shows discrete values Dot line and thick styles are av...

Page 185: ...he function name from the keyboard To enter the function name u press y u above To enter the function name v press y v above To enter the function name w press y w above Generally sequences are either...

Page 186: ...leave blank the initial value u nMin when calculating nonrecursive sequences Recursive Sequences In a recursive sequence the nth term in the sequence is defined in relation to the previous term or th...

Page 187: ...terms If each term in the sequence is defined in relation to the previous term as in u nN1 you must specify an initial value for the first term If each term in the sequence is defined in relation to...

Page 188: ...ep 1 Incremental n value for graphing only Xmin L10 Smallest X value to be displayed Xmax 10 Largest X value to be displayed Xscl 1 Spacing between the X tick marks Ymin L10 Smallest Y value to be dis...

Page 189: ...ence for example set PlotStart 5 The first four terms are evaluated but are not plotted on the graph PlotStep is the incremental n value for graphing only PlotStep does not affect sequence evaluation...

Page 190: ...le only in Seq mode Time Webuv vw uw Type of sequence plot axes RectGC PolarGC Rectangular or polar output CoordOn CoordOff Cursor coordinate display on off GridOff GridOn Grid display off or on AxesO...

Page 191: ...e n u n v n w n Web u nN1 v nN1 w nN1 u n v n w n uv u n v n vw v n w n uw u n w n Displaying a Sequence Graph To plot the selected sequence functions press s As a graph is plotted the TI 83 Plus upda...

Page 192: ...isplayed TRACE The axes format setting affects TRACE When Time uv vw or uw axes format is selected TRACE moves the cursor along the sequence one PlotStep increment at a time To move five plotted point...

Page 193: ...press For example to quickly return the cursor to the beginning of the sequence paste nMin to the n prompt and press Moving the Trace Cursor to Any Valid n Value To move the trace cursor to any valid...

Page 194: ...U items 1 through 7 are the ZOOM MEMORY variables for Seq graphing CALC The only CALC operation available in Seq graphing is value When Time axes format is selected value displays Y the u n value for...

Page 195: ...enter the sequence names u v or w press y u v or w You can evaluate these names in any of three ways Calculate the nth value in a sequence Calculate a list of values in a sequence Generate a sequence...

Page 196: ...gence or oscillation of a recursive sequence You can see how the sequence may change behavior as its initial value changes Valid Functions for Web Plots When Web axes format is selected a sequence wil...

Page 197: ...nverge at that point depending on the sequence s initial value Drawing the Web To activate the trace cursor press r The screen displays the sequence and the current n X and Y values X represents u nN1...

Page 198: ...o in Seq mode to display the sequence Y editor Make sure the graph style is set to dot and then define nMin u n and u nMin as shown below 2 Press y to set Time axes format 3 Press p and set the variab...

Page 199: ...7 Press s to graph the sequence 8 Press r and then press to draw the web The displayed cursor coordinates n X u nN1 and Y u n change accordingly When you press a new n value is displayed and the trace...

Page 200: ...s on uv vw or uw and then press Axes Setting x axis y axis uv u n v n vw v n w n uw u n w n Example Predator Prey Model Use the predator prey model to determine the regional populations of a predator...

Page 201: ...xes 001 W number of foxes G fox population growth rate with rabbits 0002 D fox population death rate without rabbits 03 n time in months Rn RnN1 1 MNKWnN1 Wn WnN1 1 GRnN1ND 1 Press o in Seq mode to di...

Page 202: ...Max 400 Xmax 400 Ymax 300 PlotStart 1 Xscl 100 Yscl 100 PlotStep 1 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 Tip Press a numbe...

Page 203: ...as shown below Xmin 84 Ymin 25 Xmax 237 Ymax 75 Xscl 50 Yscl 10 8 Press r Trace both the number of rabbits X and the number of foxes Y through 400 generations Note When you press r the equation for u...

Page 204: ...miliar with the TI 82 It shows TI 83 Plus sequences and sequence window variables as well as their TI 82 counterparts TI 83 Plus TI 82 In the Y editor u n Un u nMin UnStart window variable v n Vn v nM...

Page 205: ...table if you are familiar with the TI 82 It compares TI 83 Plus sequence name syntax and variable syntax with TI 82 sequence name syntax and variable syntax TI 83 Plus TI 82 On TI 83 Plus press On TI...

Page 206: ...er for details Evaluate the function Y X3 N 2X at each integer between L10 and 10 How many sign changes occur and at what X values 1 Press z to set Func graphing mode 2 Press o Press 3 to select 3 The...

Page 207: ...matically generated independent values Press to select Depend Auto automatically generated dependent values 4 Press y 0 to display the table screen 5 Press until you see the sign changes in the value...

Page 208: ...t Tbl TblStart table start defines the initial value for the independent variable TblStart applies only when the independent variable is generated automatically when Indpnt Auto is selected Tbl table...

Page 209: ...d automatically for the independent variable to generate a value for a dependent variable move the cursor to that cell and press Indpnt Ask Depend Ask The table is empty enter values for the independe...

Page 210: ...he current graphing mode is used In Par mode you must define both components of each parametric equation Chapter 4 Editing Dependent Variables from the Table Editor To edit a selected Y function from...

Page 211: ...e bottom line Edit the function 4 Press or The new values are calculated The table and the Y function are updated automatically Note You also can use this feature to view the function that defines a d...

Page 212: ...third columns Current cell s full value Note The table abbreviates the values if necessary Independent and Dependent Variables The current graphing mode determines which independent and dependent var...

Page 213: ...lect 9 ClrTable from the PRGM I O menu or from the CATALOG The table is cleared upon execution If IndpntAsk is selected all independent and dependent variable values on the table are cleared If Depend...

Page 214: ...o dependent variables the first two selected Y functions are displayed initially Press or to display dependent variables defined by other selected Y functions The independent variable always remains i...

Page 215: ...n Read the chapter for details Suppose you want to find the equation of the tangent line at X 2 2 for the function Y sin X Before you begin select Radian and Func mode from the mode screen if necessar...

Page 216: ...Draw Instructions 213 3 Press y 5 to select 5 Tangent The tangent instruction is initiated 4 Press y C 2 2 5 Press The tangent line is drawn the X value and the tangent line equation are displayed on...

Page 217: ...rom a graph DRAW POINTS STO 1 ClrDraw Clears all drawn elements 2 Line Draws a line segment between 2 points 3 Horizontal Draws a horizontal line 4 Vertical Draws a vertical line 5 Tangent Draws a lin...

Page 218: ...ditor Select or deselect functions in the Y editor Change the window variable values Turn stat plots on or off Clear existing drawings with ClrDraw Note If you draw on a graph and then perform any of...

Page 219: ...menu instructions to draw directly on a graph using the cursor to identify the coordinates You also can execute these instructions from the home screen or from within a program If a graph is not disp...

Page 220: ...s Clearing Drawings from the Home Screen or a Program To clear drawings on a graph from the home screen or a program begin on a blank line on the home screen or in the program editor Select 1 ClrDraw...

Page 221: ...yed follow these steps 1 Select 2 Line from the DRAW menu 2 Place the cursor on the point where you want the line segment to begin and then press 3 Move the cursor to the point where you want the line...

Page 222: ...rawing a Line Segment from the Home Screen or a Program Line also draws a line segment between the coordinates X1 Y1 and X2 Y2 The values may be entered as expressions Line X1 Y1 X2 Y2 To erase a line...

Page 223: ...e steps 1 Select 3 Horizontal or 4 Vertical from the DRAW menu A line is displayed that moves as you move the cursor 2 Place the cursor on the y coordinate for horizontal lines or x coordinate for ver...

Page 224: ...line draws a horizontal line at Y y y can be an expression but not a list Horizontal y Vertical vertical line draws a vertical line at X x x can be an expression but not a list Vertical x To instruct...

Page 225: ...ion for which you want to draw the tangent line The current graph s Y function is displayed in the top left corner if ExprOn is selected 3 Press and or enter a number to select the point on the functi...

Page 226: ...fewer digits displayed for X and the equation for Y Drawing a Tangent Line from the Home Screen or a Program Tangent tangent line draws a line tangent to expression in terms of X such as Y1 or X2 at p...

Page 227: ...en or the program editor 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 i...

Page 228: ...TI 83 Plus Draw Instructions 225 DrawInv expression Note You cannot use a list in expression to draw a family of curves...

Page 229: ...n the current graph and shades the area that is specifically above lowerfunc and below upperfunc Only the areas where lowerfunc upperfunc are shaded Xleft and Xright if included specify left and right...

Page 230: ...el default patres 2 shades every second pixel patres 3 shades every third pixel patres 4 shades every fourth pixel patres 5 shades every fifth pixel patres 6 shades every sixth pixel patres 7 shades e...

Page 231: ...2 Place the cursor at the center of the circle you want to draw Press 3 Move the cursor to a point on the circumference Press to draw the circle on the graph Note This circle is displayed as circular...

Page 232: ...een or a Program Circle draws a circle with center X Y and radius These values can be expressions Circle X Y radius Tip When you use Circle on the home screen or from a program the current window valu...

Page 233: ...nd instructions The font is proportional so the exact number of characters you can place on the graph varies As you type the characters are placed on top of the graph To cancel Text press Placing Text...

Page 234: ...otation marks or it can be an expression The TI 83 Plus will evaluate an expression and display the result with up to 10 characters Split Screen On a Horiz split screen the maximum value for row is 25...

Page 235: ...Place the cursor on the point where you want to begin drawing Press to turn on the pen 3 Move the cursor As you move the cursor you draw on the graph shading one pixel at a time 4 Press to turn off th...

Page 236: ...ly from a graph DRAW POINTS STO 1 Pt On Turns on a point 2 Pt Off Turns off a point 3 Pt Change Toggles a point on or off 4 Pxl On Turns on a pixel 5 Pxl Off Turns off a pixel 6 Pxl Change Toggles a p...

Page 237: ...cancel Pt On press Erasing Points with Pt Off To erase turn off a drawn point on a graph follow these steps 1 Select 2 Pt Off point off from the DRAW POINTS menu 2 Move the cursor to the point you wa...

Page 238: ...hange 3 Press to change the point s on off status 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 th...

Page 239: ...TI 83 Plus Draw Instructions 236 Note If you specified mark to turn on a point with Pt On you must specify mark when you turn off the point with Pt Off Pt Change does not have the mark option...

Page 240: ...ruction from the DRAW POINTS menu the TI 83 Plus returns to the home screen or the program editor The pixel instructions are not interactive Turning On and Off Pixels with Pxl On and Pxl Off Pxl On pi...

Page 241: ...ent graph row must be an integer between 0 and 62 column must be an integer between 0 and 94 pxl Test row column Split Screen On a Horiz split screen the maximum value for row is 30 for Pxl On Pxl Off...

Page 242: ...ions are not interactive DRAW POINTS STO 1 StorePic Stores the current picture 2 RecallPic Recalls a saved picture 3 StoreGDB Stores the current graph database 4 RecallGDB Recalls a saved graph databa...

Page 243: ...re To store a graph picture follow these steps 1 Select 1 StorePic from the DRAW STO menu StorePic is pasted to the current cursor location 2 Enter the number from 1 to 9 or 0 of the picture variable...

Page 244: ...ch you want to recall a picture For example if you enter 3 the TI 83 Plus will recall the picture stored to Pic3 Note You also can select a variable from the PICTURE secondary menu 4 The variable is p...

Page 245: ...B1 through GDB9 or GDB0 and recall them to recreate graphs A GDB stores five elements of a graph Graphing mode Window variables Format settings All functions in the Y editor and the selection status o...

Page 246: ...to which you want to store the graph database For example if you enter 7 the TI 83 Plus will store the GDB to GDB7 Note You also can select a variable from the GDB secondary menu 3 The variable is pas...

Page 247: ...llGDB from the DRAW STO menu RecallGDB is pasted to the current cursor location 2 Enter the number from 1 to 9 or 0 of the GDB variable from which you want to recall a GDB For example if you enter 7 t...

Page 248: ...TI 83 Plus Draw Instructions 245 Deleting a Graph Database To delete a GDB from memory use the MEMORY MANAGEMENT DELETE secondary menu Chapter 18...

Page 249: ...le split screen mode to explore the unit circle and its relationship to the numeric values for the commonly used trigonometric angles of 0 30 45 60 90 and so on 1 Press z to display the mode screen Pr...

Page 250: ...3 Ymax 2 5 Tstep 15 Xscl 1 Yscl 1 5 Press r On the left the unit circle is graphed parametrically in Degree mode and the trace cursor is activated When T 0 from the graph trace coordinates you can se...

Page 251: ...the cursor to the bottom line of the mode screen Select Horiz horizontal to display the graph screen and another screen split horizontally Select G T graph table to display the graph screen and table...

Page 252: ...uch as r the split screen returns When you press a key or key combination in either Horiz or G T mode the cursor is placed in the half of the display for which that key applies For example if you pres...

Page 253: ...ntal split screen mode a horizontal line splits the screen into top and bottom halves The top half displays the graph The bottom half displays any of these editors Home screen four lines Y editor four...

Page 254: ...ation that displays the home screen Press o Y editor Press stat list editor Press p window editor Press y 0 table editor Full Screens in Horiz Mode All other screens are displayed as full screens in H...

Page 255: ...a vertical line splits the screen into left and right halves The left half displays the graph The right half displays the table Moving from Half to Half in G T Mode To use the left half of the split s...

Page 256: ...ing mode both components of an equation XnT and YnT are displayed in the two columns of the table As you trace the current value of the independent variable T is displayed on the graph Full Screens in...

Page 257: ...represents the row and column of a corner pixel which is turned on DRAW POINTS Menu Pixel Instructions For Pxl On Pxl Off Pxl Change and pxl Test In Horiz mode row must be 30 column must be 94 In G T...

Page 258: ...tting a Split Screen Mode from the Home Screen or a Program To set Horiz or G T from a program follow these steps 1 Press z while the cursor is on a blank line in the program editor 2 Select Horiz or...

Page 259: ...of linear equations by entering the coefficients as elements in a matrix and then using rref to obtain the reduced row echelon form 1 Press y Press to display the MATRX EDIT menu Press 1 to select 1...

Page 260: ...ome screen If necessary press to clear the home screen Press y to display the MATRX MATH menu Press to wrap to the end of the menu Select B rref to copy rref to the home screen 7 Press y 1 to select 1...

Page 261: ...define a matrix directly in an expression A matrix depending on available memory may have up to 99 rows or columns You can store only real numbers in TI 83 Plus matrices Selecting a Matrix Before you...

Page 262: ...must accept or change the dimensions each time you edit a matrix When you select a matrix to define the cursor highlights the row dimension To accept the row dimension press To change the row dimensio...

Page 263: ...ATRX EDIT menu and enter or accept the dimensions The center portion of the matrix editor displays up to seven rows and three columns of a matrix showing the values of the elements in abbreviated form...

Page 264: ...8 Viewing a Matrix The matrix editor has two contexts viewing and editing In viewing context you can use the cursor keys to move quickly from one matrix element to the next The full value of the highl...

Page 265: ...s to editing context activates the edit cursor on the bottom line Switches to editing context clears the value on the bottom line Any entry character Switches to editing context clears the value on th...

Page 266: ...t by pressing or an entry key 4 Change the value of the matrix element using the editing context keys described below You may enter an expression which is evaluated when you leave editing context Note...

Page 267: ...ectangular cursor within the column Stores the value displayed on the bottom line to the matrix element switches to viewing context and moves the rectangular cursor to the next row element Clears the...

Page 268: ...r the matrix directly see below Entering a Matrix in an Expression You can enter edit and store a matrix in the matrix editor You also can enter a matrix directly in an expression To enter a matrix in...

Page 269: ...atrix Note The closing are not necessary at the end of an expression or preceding The resulting matrix is displayed in the form element1 1 element1 n elementm 1 elementm n Any expressions are evaluate...

Page 270: ...rix from the MATRX NAMES menu and then press Ellipses in the left or right column indicate additional columns or in the right column indicate additional rows Press and to scroll the matrix Copying One...

Page 271: ...ing matrix 5 Press to copy the matrix to the new matrix name Accessing a Matrix Element On the home screen or from within a program you can store a value to or recall a value from a matrix element The...

Page 272: ...nsions must be appropriate Each of the functions below creates a new matrix the original matrix remains the same Add Subtract Multiply To add or subtract matrices the dimensions must be the same The a...

Page 273: ...a matrix by a value or a value by a matrix returns a matrix in which each element of matrix is multiplied by value matrix value value matrix L Negation Negating a matrix returns a matrix in which the...

Page 274: ...ent 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 elements are rounded to 10 digits round matrix decimals M...

Page 275: ...x2 matrix3 matrix power Relational Operations To compare two matrices using the relational operations and TEST menu they must have the same dimensions and compare matrixA and matrixB on an element by...

Page 276: ...er part fPart fractional part and int greatest integer are on the MATH NUM menu iPart returns a matrix containing the integer part of each element of matrix fPart returns a matrix containing the fract...

Page 277: ...Returns the identity matrix 6 randM Returns a random matrix 7 augment Appends two matrices 8 Matr4list Stores a matrix to a list 9 List4matr Stores a list to a matrix 0 cumSum Returns the cumulative...

Page 278: ...ns a matrix in which each element row column is swapped with the corresponding element column row of matrix matrixT Accessing Matrix Dimensions with dim dim dimension returns a list containing the dim...

Page 279: ...nsioning a 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 Additiona...

Page 280: ...umns identity dimension randM randM create random matrix returns a rows columns random matrix of integers L9 and 9 The seed value stored to the rand function controls the values Chapter 2 randM rows c...

Page 281: ...s from each column in matrix Matr4list ignores extra listname arguments Likewise Matr4list ignores extra matrix columns Matr4list matrix listnameA listname n Matr4list also fills a listname with eleme...

Page 282: ...e elements from each list If dimensions of all lists are not equal List4matr fills each extra matrixname row with 0 Complex lists are not valid List4matr listA list n matrixname cumSum cumSum returns...

Page 283: ...ll row numbers and values as expressions You can select the matrix from the MATRX NAMES menu ref rref ref row echelon form returns the row echelon form of a real matrix The number of columns must be g...

Page 284: ...rref matrix rowSwap rowSwap returns a matrix It swaps rowA and rowB of matrix rowSwap matrix rowA rowB row row row addition returns a matrix It adds rowA and rowB of matrix and stores the results in r...

Page 285: ...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 286: ...s Calculate the first eight terms of the sequence 1 A2 Store the results to a user created list Then display the results in fraction form Begin this example on a blank line on the home screen 1 Press...

Page 287: ...Q1 The list is displayed on the home screen An ellipsis indicates that the list continues beyond the viewing window Press repeatedly or press and hold to scroll the list and view all the list elements...

Page 288: ...o display the MATH menu Press 1 to select 1 4Frac which pastes 4Frac to the current cursor location 8 Press to show the sequence in fraction form Press repeatedly or press and hold to scroll the list...

Page 289: ...ress y and then press the appropriate key L1 through L6 are stored in stat list editor columns 1 through 6 when you reset memory Creating a List Name on the Home Screen To create a list name on the ho...

Page 290: ...user created list in the stat list editor you must store it in the stat list editor Chapter 12 You also can create a list name in these four places At the Name prompt in the stat list editor At an Xl...

Page 291: ...list the entire list is converted to a list of complex numbers To convert the list to a list of real numbers display the home screen and then enter real listname listname Displaying a List on the Hom...

Page 292: ...ic list element You can store to any element within the current list dimension or one element beyond listname element Deleting a List from Memory To delete lists from memory including L1 through L6 us...

Page 293: ...TI 83 Plus Lists 290 Using Lists in Graphing You can use lists to graph a family of curves Chapter 3...

Page 294: ...begins with a particular alpha character or q press letter from A to Z or q Tip From the top of a menu press to move to the bottom From the bottom press to move to the top Note The LIST NAMES menu om...

Page 295: ...ditor s XList and YList prompts Entering a User Created List Name Directly To enter an existing list name directly follow these steps 1 Press y 9 to display the LIST OPS menu 2 Select B which pastes t...

Page 296: ...updated automatically When you edit an element of a list that is referenced in the formula the corresponding element in the list to which the formula is attached is updated When you edit the formula i...

Page 297: ...nt in L3 to L6 and then redisplays L3 The last screen shows that editing L3 updated ADD10 but did not change L4 This is because the formula L3 10 is attached to ADD10 but it is not attached to L4 Note...

Page 298: ...attach the formula Press y and then enter a TI 83 Plus list name L1 through L6 Press y 9 and select a user created list name from the LIST NAMES menu Enter a user created list name directly using 4 Pr...

Page 299: ...ch clear an attached formula from a list in several ways For example Enter listname on the home screen Edit any element of a list to which a formula is attached Use the stat list editor Chapter 12 Use...

Page 300: ...d for each list element and a list is displayed Use L1 L6 or any user created list name in an expression Enter the list elements directly Use y K to recall the contents of the list into an expression...

Page 301: ...se a list with a function the function must be valid for every element in the list In graphing an invalid element such as L1 in 1 0 L1 is ignored This returns an error This graphs X 1 and X 0 but skip...

Page 302: ...nce 6 cumSum Returns a list of cumulative sums 7 List Returns difference of successive elements 8 Select Selects specific data points 9 augment Concatenates two lists 0 List4matr Stores a list to a ma...

Page 303: ...er as the corresponding elements in keylistname All lists must have the same dimension SortA keylistname dependlist1 dependlist2 dependlist n SortD keylistname dependlist1 dependlist2 dependlist n Not...

Page 304: ...e with dimension length from 1 to 999 The elements are zeros length dim listname Using dim to Redimension a List You can use dim with to redimension an existing listname to dimension length from 1 to...

Page 305: ...X MATH menu Chapter 10 seq seq sequence returns a list in which each element is the result of the evaluation of expression with regard to variable for the values ranging from begin to end at steps of...

Page 306: ...nts can be real or complex numbers cumSum list List List returns a list containing the differences between consecutive elements in list List subtracts the first element in list from the second element...

Page 307: ...f plotted CBL 2 CBL or CBR data Select xlistname ylistname Note Before you use Select you must have selected turned on a scatter plot or xyLine plot Also the plot must be displayed in the current view...

Page 308: ...ST OPS menu Select is pasted to the home screen 2 Enter xlistname press enter ylistname and then press to designate list names into which you want the selected data to be stored 3 Press The graph scre...

Page 309: ...plot data point that you want as the left bound 6 Press A 4 indicator on the graph screen shows the left bound Right Bound is displayed in the bottom left corner 7 Press or to move the cursor to the s...

Page 310: ...hich you selected data points The list names are updated in the stat plot editor Note The two new lists xlistname and ylistname will include the points you select as left bound and right bound Also le...

Page 311: ...valid List4matr list1 list2 list n matrixname Matr4list Matr4list matrix stored to lists fills each listname with elements from each column in matrix If the number of listname arguments exceeds the n...

Page 312: ...ive characters identifies those characters as a user created listname listname may comprise letters q and numbers but it must begin with a letter from A to Z or q listname Generally must precede a use...

Page 313: ...created list name where a list name is the only valid input for example at the Name prompt in the stat list editor or the Xlist and Ylist prompts in the stat plot editor If you enter where it is not n...

Page 314: ...sum Returns sum of elements in a list 6 prod Returns product of elements in list 7 stdDev Returns standard deviation of a list 8 variance Returns the variance of a list min max min minimum and max max...

Page 315: ...TH 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 counts the number of consecutive occurrenc...

Page 316: ...or complex numbers prod returns the product of all elements of list start and end elements are optional they specify a range of list elements list elements can be real or complex numbers sum list sta...

Page 317: ...element counts the number of consecutive occurrences of the corresponding element in list Complex lists are not valid variance returns the variance of the elements in list The default value for freqli...

Page 318: ...kes a simple pendulum from string and washers and then suspends it from the ceiling They record the pendulum s period for each of 12 string lengths Length cm Time sec Length cm Time sec 6 5 0 51 24 4...

Page 319: ...stat list editor does not delete them from memory 3 Press 1 to select 1 Edit from the STAT EDIT menu The stat list editor is displayed If elements are stored in L1 and L2 press to move the cursor ont...

Page 320: ...Repeat this step to enter each of the 12 time values in the table 6 Press o to display the Y editor If necessary press to clear the function Y1 As necessary press and to turn off Plot1 Plot2 and Plot...

Page 321: ...n the scatter plot 9 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically and plot 1 is displayed This is a scatter plot of the time versus length data Sin...

Page 322: ...e data in L1 and L2 is calculated Values for a and b are displayed on the home screen The linear regression equation is stored in Y1 Residuals are calculated and stored automatically in the list name...

Page 323: ...An unnamed column is displayed in column 3 L3 L4 L5 and L6 shift right one column The Name prompt is displayed in the entry line and alpha lock is on 15 Press y 9 to display the LIST NAMES menu If ne...

Page 324: ...the last four are negative The latter correspond to the longer string lengths in L1 Plotting the residuals will show this pattern more clearly 18 Press y 2 to select 2 Plot2 from the STAT PLOTS menu T...

Page 325: ...ive residuals then a group of positive residuals and then another group of negative residuals The residual pattern indicates a curvature associated with this data set for which the linear model did no...

Page 326: ...the STAT CALC menu PwrReg is pasted to the home screen Press y d y e Press 1 to display the VARS Y VARS FUNCTION secondary menu and then press 1 to select 1 Y1 L1 L2 and Y1 are pasted to the home scre...

Page 327: ...deselect Y1 Press to turn off plot 1 Press to turn on plot 2 Note Step 19 defined plot 2 to plot residuals RESID versus string length L1 28 Press q 9 to select 9 ZoomStat from the ZOOM menu The window...

Page 328: ...residual is about L0 027 All other residuals are less than 0 02 in magnitude Now that you have a good model for the relationship between length and period you can use the model to predict the period...

Page 329: ...20 to enter a string length of 20 cm Press to calculate the predicted time of about 0 92 seconds Based on the residual analysis we would expect the prediction of about 0 92 seconds to be within about...

Page 330: ...dicted time of about 1 48 seconds Since a string length of 50 cm exceeds the lengths in the data set and since residuals appear to be increasing as string length increases we would expect more error w...

Page 331: ...an store data for statistical calculations Also you can store data to list names that you create Chapter 11 Setting Up a Statistical Analysis To set up a statistical analysis follow these steps Read t...

Page 332: ...EDIT menu The top line displays list names L1 through L6 are stored in columns 1 through 6 after a memory reset The number of the current column is displayed in the top right corner The bottom line is...

Page 333: ...ove 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 the remaining lists shift right one column Press until the cursor...

Page 334: ...ser created list name 3 Press or to store the list name and its elements if any in the current column of the stat list editor To begin entering scrolling or editing list elements press The rectangular...

Page 335: ...e 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 Chapter 11 Removing a List from the S...

Page 336: ...pter 18 Clearing All Elements from a List You can clear all elements from a list in any of five ways Use ClrList to clear specified lists In the stat list editor press to move the cursor onto a list n...

Page 337: ...character the current value is cleared 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...

Page 338: ...bles for elements 4 Press or to update the list If you entered an expression it is evaluated If you entered only a variable the stored value is displayed as a list element When you edit a list element...

Page 339: ...s 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 Press...

Page 340: ...s not attach the formula for future calculations Note Any user created list name referenced in a formula must be preceded by an symbol Chapter 11 5 Press The TI 83 Plus calculates each list element an...

Page 341: ...is attached Chapter 11 When a list with a formula attached is displayed in the stat list editor and you edit or enter elements of another displayed list then the TI 83 Plus takes slightly longer to a...

Page 342: ...hen each element of L1 must be greater than 0 since the logarithm of a negative number returns a complex result Tip If an error menu is returned when you attempt to display a formula generated list in...

Page 343: ...n the stat list editor move the cursor onto an element of the list to which a formula is attached Press edit the element and then press The element changes the formula is detached and the lock symbol...

Page 344: ...tently detaching the formula from the list name by editing an element of the formula generated list Because of the protection feature you must press before you can edit an element of a formula generat...

Page 345: ...w elements context To switch through the four contexts select 1 Edit from the STAT EDIT menu and follow these steps 1 Press to move the cursor onto a list name You are now in view names context Press...

Page 346: ...nt s full value is displayed in the entry line 4 Press again You are now in edit elements context You may edit the current element in the entry line 5 Press until the cursor is on a list name then pre...

Page 347: ...o 12 characters at a time An ellipsis indicates that the element continues beyond 12 characters To page down the list six elements press To page up six elements press To delete a list element press Re...

Page 348: ...ss and to edit other list elements When you switch to edit elements context from view names context the full values of all elements in the list are displayed An ellipsis indicates that list elements c...

Page 349: ...eleted from memory To insert a name in the current column press y 6 Remaining columns shift to the right one column Enter Name Context In enter name context the Name prompt is displayed in the entry l...

Page 350: ...TI 83 Plus Statistics 347 To leave enter name context without entering a list name press The stat list editor switches to view names context...

Page 351: ...5 SetUpEditor Stores lists in the stat list editor Note Chapter 13 Inferential Statistics describes the STAT TESTS menu items SortA SortD SortA sort ascending sorts list elements from low to high valu...

Page 352: ...The sorted lists are updated in memory SortA listname SortD listname SortA keylistname dependlist1 dependlist2 dependlist n SortD keylistname dependlist1 dependlist2 dependlist n Note SortA and SortD...

Page 353: ...ill automatically unarchive the listnames and place them in the stat list editor at the same time SetUpEditor listname1 listname2 listname n SetUpEditor with one to 20 listnames removes all list names...

Page 354: ...tics 351 Restoring L1 through L6 to the Stat List Editor SetUpEditor with no listnames removes all list names from the stat list editor and restores list names L1 through L6 in the stat list editor co...

Page 355: ...n models Diagnostics display mode applies to some regression models Automatic Residual List When you execute a regression model the automatic residual list feature computes and stores the residuals to...

Page 356: ...he Y function is selected Regardless of whether you specify a Y variable for regequ the regression equation always is stored to the TI 83 Plus variable RegEQ which is item 1 on the VARS Statistics EQ...

Page 357: ...Reg LinReg a bx ExpReg R2 is computed and stored for these regression models QuadReg CubicReg QuartReg The r and r2 that are computed for LnReg ExpReg and PwrReg are based on the linearly transformed...

Page 358: ...he instruction for the mode you want The instruction is pasted to the home screen Press to set the mode When DiagnosticOn is set diagnostics are displayed with the results when you execute a regressio...

Page 359: ...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...

Page 360: ...12 occurs four times 9 occurs once and 14 occurs three times Each element in freqlist must be 0 and at least one element must be 0 Noninteger freqlist elements are valid This is useful when entering f...

Page 361: ...ent in freqlist is the frequency of occurrence for each data pair Xlistname Ylistname 2 Var Stats Xlistname Ylistname freqlist Med Med ax b Med Med median median fits the model equation y ax b to the...

Page 362: ...displays values for a b 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 th...

Page 363: ...t five points are required QuartReg Xlistname Ylistname freqlist regequ LinReg a bx LinReg a bx linear regression fits the model equation y a bx to the data using a least squares fit It displays value...

Page 364: ...eg Xlistname Ylistname freqlist regequ PwrReg axb PwrReg power regression fits the model equation y axb to the data using a least squares fit and transformed values ln x and ln y It displays values fo...

Page 365: ...cified the default is 3 The algorithm may find a solution before iterations is reached Typically larger values for iterations result in longer execution times and better accuracy for SinReg and vice v...

Page 366: ...With noisy data you will achieve better convergence results when you specify an accurate estimate for period You can obtain a period guess in either of two ways Plot the data and trace to determine th...

Page 367: ...or cycles Then divide the total distance by N After your first attempt to use SinReg and the default value for iterations to fit the data you may find the fit to be approximately correct but not optim...

Page 368: ...e the type of analysis all statistical variables are cleared Variables 1 Var Stats 2 Var Stats Other VARS menu mean of x values v v XY sum of x values Gx Gx G sum of x2 values Gx2 Gx2 G sample standar...

Page 369: ...quartile Q3 PTS regression fit coefficients a b EQ polynomial Logistic and SinReg coefficients a b c d e EQ correlation coefficient r EQ coefficient of determination r2 R2 EQ regression equation RegEQ...

Page 370: ...y within the program Chapter 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 f...

Page 371: ...er plot xyLine histogram modified box plot regular box plot and normal probability plot You can define up to three plots To plot statistical data in lists follow these steps 1 Store the stat data in o...

Page 372: ...each point as a box cross or dot Xlist and Ylist must be the same length You can use the same list for Xlist and Ylist xyLine xyLine is a scatter plot in which the data points are plotted and connecte...

Page 373: ...A value that occurs on the edge of a bar is counted in the bar to the right ModBoxplot ModBoxplot modified box plot plots one variable data like the regular box plot except points that are 1 5 Interqu...

Page 374: ...d with respect to Xmin and Xmax but ignore Ymin and Ymax When two box plots are plotted the first one plots at the top of the screen and the second plots in the middle When three are plotted the first...

Page 375: ...ProbPlot NormProbPlot normal probability plot plots each observation X in Data List versus the corresponding quantile z of the standard normal distribution If the plotted points lie close to a straigh...

Page 376: ...Defining the Plots To define a plot follow these steps 1 Press y The STAT PLOTS menu is displayed with the current plot definitions 2 Select the plot you want to use The stat plot editor is displayed...

Page 377: ...whether you select On or Off 4 Select the type of plot Each type prompts for the options checked in this table Plot Type XList YList Mark Freq Data List Data Axis Scatter 5 Enter list names or select...

Page 378: ...display the stat plot editor for a different plot press and to move the cursor onto the name in the top line and then press The stat plot editor for the selected plot is displayed and the selected nam...

Page 379: ...ent graph To define the viewing window press p and enter values for the window variables ZoomStat redefines the viewing window to display all statistical data points Tracing a Stat Plot When you trace...

Page 380: ...to Q3 and maxX When you press or to move to another plot or to another Y function tracing moves to the current or beginning point on that plot not the nearest pixel The ExprOn ExprOff format setting a...

Page 381: ...a program define the plot and then display the graph To define a stat plot from a program begin on a blank line in the program editor and enter data into one or more lists then follow these steps 1 Pr...

Page 382: ...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 necessary if you selected 3 Histogram or 5 Boxplot i...

Page 383: ...us Statistics 380 7 Press to complete the command line 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 C...

Page 384: ...le below Because heights among a biological population tend to be normally distributed a t distribution confidence interval can be used when estimating the mean The 10 height values below are the firs...

Page 385: ...t editor may not look like the one pictured here depending on the lists you have already stored 2 Enter H G H T at the Name prompt and then press The list to which you will store the women s height da...

Page 386: ...lect 8 TInterval The inferential stat editor for TInterval is displayed If Data is not selected for Inpt press to select Data Press and H G H T at the List prompt alpha lock is on Press 99 to enter a...

Page 387: ...pled is 165 1 centimeters which is in the calculated interval The second line gives the mean height of the sample used to compute this interval The third line gives the sample standard deviation Sx Th...

Page 388: ...culate the new 99 percent confidence interval The results are displayed on the home screen If the height distribution among a population of women is normally distributed with a mean m of 165 1 centime...

Page 389: ...is and 6 35 is The result is displayed on the home screen it shows that five percent of the women are taller than 175 5 centimeters Now graph and shade the top 5 percent of the population 12 Press p...

Page 390: ...y Z 1 y D 99 165 1 6 35 Ans 175 5448205 from step 11 is the lower bound 1 99 is the upper bound The normal curve is defined by a mean of 165 1 and a standard deviation of 6 35 15 Press to plot and sh...

Page 391: ...to each test or interval s input requirements Below is the inferential stat editor for T Test Note When you select the ANOVA instruction it is pasted to the home screen ANOVA does not have an editor s...

Page 392: ...the selection is available 6 Select Calculate or Draw when Draw is available to execute the instruction When you select Calculate the results are displayed on the home screen When you select Draw the...

Page 393: ...ummary statistics such as Sx and n as input To select Data or Stats move the cursor to either Data or Stats and then press Entering the Values for Arguments Inferential stat editors require a value fo...

Page 394: ...t The third is a alternative hypothesis such as p1 p2 for the 2 PropZTest To select an alternative hypothesis move the cursor to the appropriate alternative and then press Selecting the Pooled Option...

Page 395: ...ws 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 t...

Page 396: ...responding inferential stat editor select the instruction you want from the CATALOG menu Appendix A describes the input syntax for each hypothesis test and confidence interval instruction Note You can...

Page 397: ...Test Test for 1 m unknown s 3 2 SampZTest Test comparing 2 m s known s s 4 2 SampTTest Test comparing 2 m s unknown s s 5 1 PropZTest Test for 1 proportion 6 2 PropZTest Test comparing 2 proportions...

Page 398: ...editor for that instruction with example arguments Descriptions of instructions that offer the Data Stats input choice show both types of input screens Descriptions of instructions that do not offer t...

Page 399: ...erforms a hypothesis test for a single unknown population mean m when the population standard deviation s is known It tests the null hypothesis H0 m m0 against one of the alternatives below Ha m m0 m...

Page 400: ...the decimal mode to Float or a different fixed decimal setting your output may differ from the output in the examples T Test T Test one sample t test item 2 performs a hypothesis test for a single un...

Page 401: ...TI 83 Plus Inferential Statistics and Distributions 398 In the example TEST 91 9 97 8 111 4 122 3 105 4 95 Data Stats Input Calculated results Drawn results...

Page 402: ...means of two populations 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 bel...

Page 403: ...mpTTest two sample t test item 4 tests the equality of the means of two populations m1 and m2 based on independent samples when neither population standard deviation s1 or s2 is known The null hypothe...

Page 404: ...TI 83 Plus Inferential Statistics and Distributions 401 In the example SAMP1 12 207 16 869 25 05 22 429 8 456 10 589 SAMP2 11 074 9 686 12 064 9 351 8 182 6 642 Data Stats Input Calculated results...

Page 405: ...em 5 computes a test for 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 hypot...

Page 406: ...to compare the proportion of successes 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 PropZT...

Page 407: ...TI 83 Plus Inferential Statistics and Distributions 404 Input Calculated results Drawn results...

Page 408: ...e interval item 7 computes a confidence interval for an unknown population mean m when the population standard deviation s is known The computed confidence interval depends on the user specified confi...

Page 409: ...nfidence interval item 8 computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown The computed confidence interval depends on the user specif...

Page 410: ...em 9 computes a confidence 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 u...

Page 411: ...0 computes a confidence interval 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 us...

Page 412: ...TI 83 Plus Inferential Statistics and Distributions 409 Data Stats Input Calculated results...

Page 413: ...dence interval item A computes a confidence interval for an unknown proportion of successes It takes as input the count of successes in the sample x and the count of observations in the sample n The c...

Page 414: ...s a confidence interval for the difference between the proportion of successes in two populations p1Np2 It takes as input the count of successes in each sample x1 and x2 and the count of observations...

Page 415: ...ion exists between row variables 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 variabl...

Page 416: ...TI 83 Plus Inferential Statistics and Distributions 413 Note Press y B to display matrix B Calculated results Drawn results...

Page 417: ...deviations s1 and 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 a...

Page 418: ...regression t test item E computes a linear regression on the given data and a t test on the value of slope b and the correlation coefficient r for the equation y a bx It tests the null hypothesis H0 b...

Page 419: ...cs EQ secondary menu 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 equat...

Page 420: ...decimal point Chapter 1 However limiting the number of digits to a small number could affect the accuracy of the fit ANOVA ANOVA one way analysis of variance item F computes a one way analysis of var...

Page 421: ...TI 83 Plus Inferential Statistics and Distributions 418 Input Calculated results Note SS is sum of squares and MS is mean square...

Page 422: ...ation standard deviation must be a real number 0 List The name of the list containing the data you are testing Freq The name of the list containing the frequency values for the data in List Default 1...

Page 423: ...integers 0 v1 Sx1 n1 v2 Sx2 n2 Summary statistics mean standard deviation and sample size for sample one and sample two in the two sample tests and intervals Pooled Specifies whether variances are to...

Page 424: ...x name that represents the columns and rows for the observed values of a two way table of counts for the c2 Test Observed must contain all integers 0 Matrix dimensions must be at least 2 2 Expected Ma...

Page 425: ...ntervals LinRegTTest ANOVA VARS Menu p value p p TEST test statistics z t c2 t TEST degrees of freedom df df df TEST sample mean of x values for sample 1 and sample 2 v1 v2 v1 v2 TEST sample standard...

Page 426: ...pair lower upper TEST mean of x values v v XY sample standard 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 c...

Page 427: ...udent t distribution probability 6 c2pdf Chi square probability density 7 c2cdf Chi square distribution probability 8 pdf probability density 9 cdf distribution probability 0 binompdf Binomial probabi...

Page 428: ...n m 0 and standard deviation s 1 To plot the normal distribution paste normalpdf to the Y editor The probability density function pdf is 0 2 1 2 2 2 x e x f normalpdf x m s Note For this example Xmin...

Page 429: ...viation s The defaults are m 0 and s 1 normalcdf lowerbound upperbound m s invNorm invNorm computes the inverse cumulative normal distribution function for a given area under the normal distribution c...

Page 430: ...es of freedom must be 0 To plot the Student t distribution paste tpdf to the Y editor The probability density function pdf is df df x df df x f df 2 1 2 1 2 2 1 tpdf x df Note For this example Xmin L4...

Page 431: ...density function pdf for the c2 chi square distribution at a specified x value df degrees of freedom must be an integer 0 To plot the c2 distribution paste c2pdf to the Y editor The probability densit...

Page 432: ...er 0 c2cdf lowerbound upperbound df pdf pdf computes the probability density function pdf for the distribution at a specified x value numerator df degrees of freedom and denominator df must be integer...

Page 433: ...numerator df degrees of freedom and denominator df numerator df and denominator df must be integers 0 cdf lowerbound upperbound numerator df denominator df binompdf binompdf computes a probability at...

Page 434: ...ls binompdf numtrials p x binomcdf binomcdf computes a cumulative probability at x for the discrete binomial distribution with the specified numtrials and probability of success p on each trial x can...

Page 435: ...m which must be a real number 0 x can be an integer or a list of integers The probability density function pdf is 2 1 0 x x e x f x poissonpdf m x poissoncdf poissoncdf computes a cumulative probabil...

Page 436: ...of success p 0 p 1 must be true x can be an integer or a list of integers The probability density function pdf is 2 1 1 1 x p p x f x geometpdf p x geometcdf geometcdf computes a cumulative probabili...

Page 437: ...value To clear the drawings select 1 ClrDraw from the DRAW menu Chapter 8 Note Before you execute a DISTR DRAW instruction you must set the window variables so that the desired distribution fits the...

Page 438: ...iation s and shades the area between lowerbound and upperbound The defaults are m 0 and s 1 ShadeNorm lowerbound upperbound m s Note For this example Xmin 55 Xmax 72 Ymin L 05 Ymax 2 Shade_t Shade_t d...

Page 439: ...his example Xmin L3 Xmax 3 Ymin L 15 Ymax 5 Shadec2 Shadec2 draws the density function for the c2 chi square distribution specified by df degrees of freedom and shades the area between lowerbound and...

Page 440: ...ws the density function for the distribution specified by numerator df degrees of freedom and denominator df and shades the area between lowerbound and upperbound Shade lowerbound upperbound numerator...

Page 441: ...ot be deleted You can buy additional TI 83 Plus software applications that allow you to customize further your calculator s functionality The calculator reserves 1 54 M of space within ROM memory spec...

Page 442: ...TI 83 Plus Applications 439 Steps for Running the Finance Application Follow these basic steps when using the Finance application Select the Finance application Press 9 b Select from list of functions...

Page 443: ...entage rate APR will make it possible for you to afford the car 1 Press z to set the fixed decimal mode setting to 2 The TI 83 Plus will display all numbers with two decimal places 2 Press to select 1...

Page 444: ...nding periods per year to C Y Setting P Y to 12 will compute an annual percentage rate compounded monthly for Press to select PMT END which indicates that payments are due at the end of each period 4...

Page 445: ...nd P Y must be set to 1 1 Press to select 1 Finance from the APPLICATIONS menu 2 Press to select 1 TVM Solver from the CALC VARS menu The TVM Solver is displayed Press 7 to enter the number of periods...

Page 446: ...TI 83 Plus Applications 443 3 Press to place the cursor on the prompt 4 Press to solve for the annual interest rate...

Page 447: ...section describes the five TVM variables PV PMT and FV and P Y and C Y PMT END BEGIN in the TVM Solver corresponds to the FINANCE CALC menu items Pmt_End payment at the end of each period and Pmt_Bgn...

Page 448: ...which automatically enters the same value for C Y if P Y C Y enter a unique value for C Y 4 Select END or BEGIN to specify the payment method 5 Place the cursor on the TVM variable for which you want...

Page 449: ...ers FINANCE CALC Menu To display the FINANCE CALC menu press CALC VARS 1 TVM Solver Displays the TVM Solver 2 tvm_Pmt Computes the amount of each payment 3 tvm_ Computes the interest rate per year 4 t...

Page 450: ...e effective interest rate D dbd Calculates the days between two dates E Pmt_End Selects ordinary annuity end of period F Pmt_Bgn Selects annuity due beginning of period Use these functions to set up a...

Page 451: ...rguments which must be real numbers The values that you specify as arguments for these functions are not stored to the TVM variables Note To store a value to a TVM variable use the TVM Solver or use a...

Page 452: ...mple above the values are stored to the TVM variables in the TVM Solver Then the payment tvm_Pmt is computed on the home screen using the values in the TVM Solver Next the interest rate is changed to...

Page 453: ...TI 83 Plus Applications 450 tvm_PV tvm_PV computes the present value tvm_PV PMT FV P Y C Y tvm_ tvm_ computes the number of payment periods tvm_ PV PMT FV P Y C Y...

Page 454: ...TI 83 Plus Applications 451 tvm_FV tvm_FV computes the future value tvm_FV PV PMT P Y C Y...

Page 455: ...ate 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 is a list of cash flow amounts after the initial cash f...

Page 456: ...f the present values for the cash inflows and outflows A positive result for npv indicates a profitable investment npv interest rate CF0 CFList CFFreq irr internal rate of return is the interest rate...

Page 457: ...hedule bal bal computes the balance for an amortization schedule using stored values for PV and PMT npmt is the number of the payment at which you want to calculate a balance It must be a positive int...

Page 458: ...I 83 Plus uses the current Float Fix decimal mode setting Note You must enter values for PV PMT and before computing the principal GPrn pmt1 pmt2 roundvalue GInt computes the sum of the interest durin...

Page 459: ...the results in a graph and in the table 1 Press z Press to set the fixed decimal mode setting to 2 Press to select Par graphing mode 2 Press to display the TVM Solver 3 Press 360 to enter number of pa...

Page 460: ...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 Press r to draw the graph and acti...

Page 461: ...458 9 Press y 0 to display the table of outstanding balances Y1T 10 Press z to select G T split screen mode in which the graph and table are displayed simultaneously Press r to display X1T time and Y...

Page 462: ...nal rate 4Nom or from a nominal rate to an annual effective rate 4Eff 4Nom 4Nom computes the nominal interest rate effective rate and compounding periods must be real numbers compounding periods must...

Page 463: ...dates using the actual day count method date1 and date2 can be numbers or lists of numbers within the range of the dates on the standard calendar Note Dates must be between the years 1950 through 204...

Page 464: ...ordinary annuity where payments occur at the end of each payment period Most loans are in this category Pmt_End is the default Pmt_End On the TVM Solver s PMT END BEGIN line select END to set PMT to...

Page 465: ...payment periods 2 Annual interest rate 3 PV Present value 4 PMT Payment amount 5 FV Future value 6 P Y Number of payment periods per year 7 C Y Number of compounding periods year PV PMT FV PV PMT and...

Page 466: ...n a financial transaction C Y is the number of compounding periods per year in the same transaction When you store a value to P Y the value for C Y automatically changes to the same value To store a u...

Page 467: ...s comes with the CBL CBR application already listed on the APPLICATIONS menu 9 2 Steps for Running the CBL CBR Application Follow these basic steps when using the CBL CBR application You may not have...

Page 468: ...tions if applicable Collect the data Follow directions if applicable Select Go or START NOW Stop the data collection if necessary Repeat these steps or exit the APPLICATIONS menu Press and or Highligh...

Page 469: ...BL CBR application you need a CBL 2 CBL or CBR as applicable a TI 83 Plus and a unit to unit link cable 1 Press 2 Select 2 CBL CBR to set up the TI 83 Plus to use either of the applications An informa...

Page 470: ...enu contains the following data collection methods CBL CBR APP 1 GAUGE Displays results as either a bar or meter 2 DATA LOGGER Displays results as a Temp Time Light Time Volt Time or Sonic Time graph...

Page 471: ...played The method you choose as well as the data collection options you choose for that method determine whether you use the CBR or the CBL 2 CBL Refer to the charts in the following sections to find...

Page 472: ...light the one you want with the cursor keys and then press GAUGE Options Defaults Probe Temp Light Volt Sonic Type Bar or Meter Min 0 0 M10 0 Max 100 1 10 6 Units C or F mW cm2 Volt m or Ft Directions...

Page 473: ...d in the Gauge Options table See the CBL 2 CBL and CBR guidebook for specific MIN MAX ranges Enter values using the number keys UNITS The results are displayed according to the UNITS specified To spec...

Page 474: ...to select 1 CBL or 2 CBR This ensures that you get the appropriate directions Press 1 to specify CBL 2 CBL or 2 to specify CBR Data Collection Comments and Results To label a specific data point pres...

Page 475: ...ta and enter comments for one of the four probes the two lists pertaining to that probe are overwritten with comment labels and data results from the most recently collected data If you want to save c...

Page 476: ...e of four different probes Temp Light Volt or Sonic You can use the CBL 2 CBL with all probes you can use the CBR only with the Sonic probe When you select a probe option all other options change acco...

Page 477: ...99 99 99 INTRVL SEC 1 1 1 1 UNITS C or F mW cm2 Volt Cm or Ft PLOT RealTme or End DIRECTNS On or Off Ymin 0 0 M10 0 Ymax 100 1 10 6 The DATA LOGGER data collection results are represented as a Temp Ti...

Page 478: ...interval in seconds between each data sample that is collected For example if you want to collect 99 samples and INTRVL 1 it takes 99 seconds to finish data collection Enter values using the number k...

Page 479: ...the PLOT WINDOW screen Use and to move between options Enter Ymin and Ymax using the number keys Press l to return to the DATA LOGGER options screen DIRECTNS Directions If DIRECTNS On the calculator...

Page 480: ...Access list names from the 9 NAMES menu Note These lists are only temporary placeholders for data results for any particular probe Therefore every time you collect data for one of the four probes the...

Page 481: ...hen the collection process is halted the CBR RANGER is deleted from RAM To run the CBR RANGER program again press and select the CBL CBR application Note The Ranger data collection method only uses th...

Page 482: ...hen START NOW If DIRECTNS Off GAUGE and DATA LOGGER data collection begin immediately If DIRECTNS On the calculator displays step by step directions If PROBE Sonic the calculator first displays a menu...

Page 483: ...llected To stop them before this happens 1 Press on the TI 83 Plus 2 Press on the CBR T on the CBL 2 or P on the CBL To exit from the GAUGE or DATA LOGGER option menus without beginning data collectio...

Page 484: ...instructions on the TI 83 Plus You also can access each CATALOG item from a menu or the keyboard except The six string functions The six hyperbolic functions The solve instruction without the equation...

Page 485: ...G until the selection cursor points to the item you want To jump to the first item beginning with a particular letter press that letter alpha lock is on Items that begin with a number are in alphabeti...

Page 486: ...83 Plus CATALOG Strings Hyperbolic Functions 483 3 Press to paste the item to the current screen Tip From the top of the CATALOG menu press to move to the bottom From the bottom press to move to the t...

Page 487: ...m the keyboard in a program Characters are the units that you combine to form a string Count each number letter and space as one character Count each instruction or function name such as sin or cos as...

Page 488: ...ss To enter several alpha characters in a row press y 7 to activate alpha lock 3 Press to indicate the end of the string string 4 Press On the home screen the string is displayed on the next line with...

Page 489: ...ariables The TI 83 Plus has 10 variables to which you can store strings You can use string variables with string functions and instructions To display the VARS STRING menu follow these steps 1 Press t...

Page 490: ...press 2 Press 3 Press 7 to display the VARS STRING menu 4 Select the string variable from Str1 to Str9 or Str0 to which you want to store the string The string variable is pasted to the current cursor...

Page 491: ...Hyperbolic Functions 488 Displaying the Contents of a String Variable To display the contents of a string variable on the home screen select the string variable from the VARS STRING menu and then pre...

Page 492: ...sts the string functions and instructions in the order in which they appear among the other CATALOG menu items The ellipses in the table indicate the presence of additional CATALOG items CATALOG Equ4S...

Page 493: ...name 2 Press 3 Enter string2 which can be a string or string name If necessary press and enter string3 and so on string1 string2 string3 4 Press to display the strings as a single string Selecting a...

Page 494: ...ny VARS Y VARS variable Yn contains the equation Strn from Str1 to Str9 or Str0 is the string variable to which you want the equation to be stored as a string Equ4String Yn Strn expr expr converts the...

Page 495: ...ptional character position at which to start the search the default is 1 inString string substring start Note If string does not contain substring or start is greater than the length of string inStrin...

Page 496: ...can be a string or string variable String4Equ is the inverse of Equ4String String4Equ string Yn sub sub returns a string that is a subset of an existing string string can be a string or a string vari...

Page 497: ...ions 494 Entering a Function to Graph during Program Execution In a program you can enter a function to graph during program execution using these commands Note When you execute this program enter a f...

Page 498: ...e CATALOG The table below lists the hyperbolic functions in the order in which they appear among the other CATALOG menu items The ellipses in the table indicate the presence of additional CATALOG item...

Page 499: ...valid for real numbers expressions and lists sinh value cosh value tanh value sinhL1 coshL1 tanhL1 sinhL1 is the hyperbolic arcsine function coshL1 is the hyperbolic arccosine function tanhL1 is the...

Page 500: ...entered them from the keyboard Create a program that prompts for the radius R and the height H of a cylinder and then computes its volume 1 Press to display the PRGM NEW menu 2 Press to select 1 Crea...

Page 501: ...er the expression pR2H and store it to the variable V 5 Press 3 to select 3 Disp from the PRGM I O menu Disp is pasted to the command line Press y 7 V O L U M E I S V to set up the program to display...

Page 502: ...item 1 on your PRGM EXEC menu move the cursor to CYLINDER before you press 9 Press to execute the program Enter 1 5 for the radius and then press Enter 3 for the height and then press The text VOLUME...

Page 503: ...f programs that the TI 83 Plus can store is limited only by available memory Creating a New Program To create a new program follow these steps 1 Press to display the PRGM NEW menu 2 Press to select 1...

Page 504: ...5 to leave the program editor and return to the home screen Managing Memory and Deleting a Program To check whether adequate memory is available for a program you want to enter 1 Press y L to display...

Page 505: ...n select 2 Mem Mgmt Del from the MEMORY menu 2 Select 7 Prgm to display the PRGM editor Chapter 18 3 Press and to move the selection cursor 4 next to the program you want to delete and then press The...

Page 506: ...lect 7 Prgm to display the PRGM menu 4 Press to archive the program An asterisk will appear to the left of the program to indicate it is an archived program To unarchive a program in this screen put t...

Page 507: ...than the screen is wide long command lines wrap to the next screen line While in the program editor you can display and select from menus You can return to the program editor from a menu in either of...

Page 508: ...m the PRGM EXEC menu prgmname is pasted to the home screen for example prgmCYLINDER 3 Press to execute the program While the program is executing the busy indicator is on Last Answer Ans is updated du...

Page 509: ...83 Plus Programming 506 Breaking a Program To stop program execution press The ERR BREAK menu is displayed To return to the home screen select 1 Quit To go where the interruption occurred select 2 Go...

Page 510: ...ay a to indicate that a program continues beyond the screen 3 Edit the program command lines Move the cursor to the appropriate location and then delete overwrite or insert Press to clear all program...

Page 511: ...where in the program place the cursor where you want the new line press y 6 and then press A colon indicates a new line To delete a command line place the cursor on the line press to clear all instruc...

Page 512: ...line of the program editor in the new program Chapter 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 com...

Page 513: ...cally into alphanumerical order Each menu only labels the first 10 items using 1 through 9 then 0 To jump to the first program name that begins with a particular alpha character or q press letter from...

Page 514: ...loop 5 While Creates a conditional loop 6 Repeat Creates a conditional loop 7 End Signifies the end of a block 8 Pause Pauses program execution 9 Lbl Defines a label 0 Goto Goes to a label A IS Increm...

Page 515: ...tem press Controlling Program Flow Program control instructions tell the TI 83 Plus which command to execute next in a program If While and Repeat check a defined condition to determine which command...

Page 516: ...n 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 of commands If condition Then comman...

Page 517: ...If Then Else Else following If Then executes a group of commands if condition is false zero End identifies the end of the group of commands If condition Then command if true command if true Else comm...

Page 518: ...to end by increment increment is optional default is 1 and can be negative end begin end is a maximum or minimum value not to be exceeded End identifies the end of the loop For loops can be nested Fo...

Page 519: ...2 condition is tested when While is encountered If condition is true nonzero the program executes a group of commands End signifies the end of the group When condition is false zero the program execu...

Page 520: ...on is true nonzero It is similar to While but condition is tested when End is encountered therefore the group of commands is always executed at least once Repeat instructions can be nested Repeat cond...

Page 521: ...ch If Then Else group Pause Pause suspends execution of the program so that you can see answers or graphs During the pause the pause indicator is on in the top right corner Press to resume execution P...

Page 522: ...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 br...

Page 523: ...If the answer is value which can be an expression the next command is skipped if the answer is value the next command is executed variable cannot be a system variable IS variable value command if ans...

Page 524: ...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 with...

Page 525: ...text1 label1 text2 label2 Program Output The program above pauses until you select 1 or 2 If you select 2 for example the menu disappears and the program continues execution at Lbl B prgm Use prgm to...

Page 526: ...program even if encountered within nested loops Any loops are ended An implied Return exists at the end of any program that is called as a subroutine Within the main program Return stops execution and...

Page 527: ...umber from 1 to 7 that corresponds to the graph style as shown below 1 line 5 path 2 thick 6 animate 3 shade above 7 dot 4 shade below GraphStyle function graphstyle For example GraphStyle 1 5 in Func...

Page 528: ...5 DispTable Displays the current table 6 Output Displays text at a specified position 7 getKey Checks the keyboard for a keystroke 8 ClrHome Clears the display 9 ClrTable Clears the current table 0 G...

Page 529: ...Graph with Input Input without a variable displays the current graph You can move the free moving cursor which updates X and Y and R and q for PolarGC format The pause indicator is on Press to resume...

Page 530: ...er a value which can be an expression and then press The value is evaluated and stored to variable and the program resumes execution Input variable You can display text or the contents of Strn a strin...

Page 531: ...ch variable one at a time followed by At each prompt enter a value or expression for each variable and then press The values are stored and the program resumes execution Prompt variableA variableB var...

Page 532: ...d on the right side of the next line If value is text within quotation marks it is displayed on the left side of the current display line is not valid as text Program Output If Pause is encountered af...

Page 533: ...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 through 8 and column 1 through 16 overwriting an...

Page 534: ...r corresponding to the last key pressed according to the key code diagram below If no key has been pressed getKey returns 0 Use getKey inside loops to transfer control for example when creating video...

Page 535: ...Programming 532 TI 83 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 progra...

Page 536: ...able on the receiving TI 83 Plus variable can be a real number list element list name matrix element matrix name string Y variable graph database or picture Get variable Note If you transfer a program...

Page 537: ...us Programming 534 Send variable Note This program gets sound data and time in seconds from CBL 2 CBL Note You can access Get Send and GetCalc from the CATALOG to execute them from the home screen Cha...

Page 538: ...n either of two ways Press to display the PRGM EXEC menu and select the name of the program prgmname is pasted to the current cursor location on a command line Select prgm from the PRGM CTL menu and t...

Page 539: ...al label used with Goto and Lbl is local to the program where it is located label in one program is not recognized by another program You cannot use Goto to branch to a label in another program Return...

Page 540: ...lculator if your assembly language program has error s it may cause your calculator to reset and lose all data programs and applications stored in memory When you download an assembly language program...

Page 541: ...hat you have written 1 Follow the steps for writing a program 16 4 but be sure to include AsmPrgm as the first line of your program 2 From the home screen press y N and then select AsmComp to paste it...

Page 542: ...TI 83 Plus Programming 539 7 Press to complete the sequence The sequence of the arguments should be as follows AsmComp prgmASM1 prgmASM2 8 Press to compile your program and generate the output program...

Page 543: ...ons 3X2 5X 2 0 and 2X2 N X 3 0 Begin with the equation 3X2 5X 2 0 1 Press 3 A above to store the coefficient of the X2 term 2 Press above The colon allows you to enter more than one instruction on a l...

Page 544: ...sor moves to the next line ready for your next entry 5 Press B y C B 4 A C 2 A to enter the expression for one of the solutions for the quadratic formula a ac b b 2 4 2 6 Press to find one solution fo...

Page 545: ...can show the solution as a fraction 1 Press to display the MATH menu 2 Press 1 to select 1 4Frac from the MATH menu When you press 1 Ans4Frac is displayed on the home screen Ans is a variable that con...

Page 546: ...ress y above to recall the fraction conversion entry and then press y again to recall the quadratic formula expression a ac b b 2 4 2 5 Press to move the cursor onto the sign in the formula Press to e...

Page 547: ...displays complex results 1 Press z 6 times and then press to position the cursor over a bi Press to select a bi complex number mode 2 Press y 5 above z to return to the home screen and then press to c...

Page 548: ...b b 2 4 2 5 Press to find one solution for the equation 2X2 N X 3 0 6 Press y repeatedly until this quadratic formula expression is displayed a ac b b 2 4 2 7 Press to find the other solution for the...

Page 549: ...below Fold the paper into a box with a lid What value of X would give your box the maximum volume V Use the table and graphs to determine the solution Begin by defining a function that describes the...

Page 550: ...ng a Table of Values The table feature of the TI 83 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 pro...

Page 551: ...scroll the table until a negative result for Y1 is displayed Notice that the maximum length of X for this problem occurs where the sign of Y1 box s volume changes from positive to negative between 10...

Page 552: ...ion With smaller values for Tbl you can zoom in on the table 1 Press 3 to set TblStart Press 1 to set Tbl This adjusts the table setup to get a more accurate estimate of X for maximum volume Y1 2 Pres...

Page 553: ...0 and then press and to scroll the table Four equivalent maximum values are shown 410 26 at X 3 67 3 68 3 69 and 3 70 6 Press or to move the cursor to 3 67 Press to move the cursor into the Y1 column...

Page 554: ...01 centimeter increments Box with Lid Setting the Viewing Window You also can use the graphing features of the TI 83 Plus to find the maximum value of a previously defined function When the graph is...

Page 555: ...y Xscl and Yscl define the distance between tick marks on the X and Y axes Xres controls resolution Xmax Ymin Ymax Xscl Yscl Xmin 2 Press 0 to define Xmin 3 Press 20 2 to define Xmax using an expressi...

Page 556: ...ph it you can display and explore the graph You can trace along a function using the TRACE feature 1 Press s to graph the selected function in the viewing window The graph of Y1 20N2X 25 2NX X is disp...

Page 557: ...inually 4 Press r The trace cursor is displayed on the Y1 function The function that you are tracing is displayed in the top left corner 5 Press and to trace along Y1 one X dot at a time evaluating Y1...

Page 558: ...are on the maximum Y value This is the maximum of Y1 X for the X pixel values The actual precise maximum may lie between pixel values Box with Lid Zooming In on the Graph To help identify maximums mi...

Page 559: ...ntil the item number or letter is highlighted and then press 2 Press 2 to select 2 Zoom In The graph is displayed again The cursor has changed to indicate that you are using a ZOOM instruction 3 With...

Page 560: ...ettings Box with Lid Finding the Calculated Maximum You can use a CALCULATE menu operation to calculate a local maximum of a function 1 Press y above r to display the CALCULATE menu Press 4 to select...

Page 561: ...the top of the screen indicates the selected bound A Right Bound prompt is displayed 3 Press to trace along the curve to a point to the right of the maximum and then press A 3 at the top of the scree...

Page 562: ...E the X prompt is displayed in the bottom left corner Notice how the values for the calculated maximum compare with the maximums found with the free moving cursor the trace cursor and the table Note I...

Page 563: ...heir brains The TI Graphics team conducted a similar test for adult men and women The test involved 30 small objects which participants were not allowed to see First they held 15 of the objects one by...

Page 564: ...MRGHT separated by commas Press The stat list editor now contains only these four lists 2 Press 1 to select 1 Edit 3 Enter into WLEFT the number of correct guesses each woman made using her left hand...

Page 565: ...9 to select 9 ZoomStat This adjusts the viewing window and displays the box plots for the women s results 8 Press r Women s left hand data Women s right hand data Use and to examine minX Q1 Med Q3 and...

Page 566: ...plot Who were the better left hand guessers men or women 11 Compare the right hand results Define plot 1 to use WRGHT define plot 2 to use MRGHT and then press r to examine minX Q1 Med Q3 and maxX for...

Page 567: ...d above Graph the piecewise function that describes the cost of the ticket The fine Y as a function of kilometers per hour X is Y 0 0 X 45 Y 50 5 X N 45 45 X 55 Y 50 5 10 10 X N 55 55 X 65 Y 50 5 10 1...

Page 568: ...y 5 to return to the home screen Store 1 to X and then store 5 to Y X and Y are on the VARS Window X Y secondary menu X and Y specify the horizontal and vertical distance between the centers of adjac...

Page 569: ...s true and where it is false Procedure 1 Press z Select Dot Simul and the default settings Setting Dot mode changes all graph style icons to dot in the Y editor 2 Press o Turn off all functions and st...

Page 570: ...e standard window 5 Press r to move to Y6 Then press and to trace the inequality observing the value of Y 6 Press o Turn off Y4 Y5 and Y6 Enter equations to graph only the inequality 7 Press r Notice...

Page 571: ...quations and two unknowns Y X3N2X and Y 2cos X Use ZOOM factors to control the decimal places displayed on the graph Procedure 1 Press z Select the default mode settings Press o Turn off all functions...

Page 572: ...ve the cursor notice that now the X and Y values have two decimal places 6 Press to zoom in again Move the free moving cursor onto a point exactly on the intersection Notice the number of decimal plac...

Page 573: ...he Sierpinski Triangle and stores the drawing to a picture To begin press 1 Name the program SIERPINS and then press The program editor is displayed Program PROGRAM SIERPINS FnOff ClrDraw PlotsOff Axe...

Page 574: ...5 X X 5 1 Y Y End If Then group If 2 3 N Then 5 1 X X 5Y Y End If Then group Pt On X Y Draw point End End of For group StorePic 6 Store picture After you execute the program above you can recall and d...

Page 575: ...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 expression Y K X 1NX u n K...

Page 576: ...isplay the graph and then press to trace the cobweb This is a cobweb with one attractor 6 Change K to 3 44 and trace the graph to show a cobweb with two attractors 7 Change K to 3 54 and trace the gra...

Page 577: ...ess the coefficients and graph your guess as C sin DX The program continues until your guess is correct Program PROGRAM GUESS PlotsOff Func FnOff Radian ClrHome Asin BX Y1 Csin DX Y2 Define equations...

Page 578: ...Lbl Z Prompt C D Prompt for guess DispGraph Pause Display graph If C A Text 1 1 C IS OK If C A Text 1 1 C IS WRONG If D B Text 1 50 D IS OK If D B Text 1 50 D IS WRONG Display results DispGraph Pause...

Page 579: ...tion that can be plotted in Func mode can be plotted in Par mode by defining the X component as T and the Y component as F T Procedure 1 Press z Select Par Simul and the default settings 2 Press p Set...

Page 580: ...e curve 5 Press r As the graph is plotting you may press to pause and again to resume graphing as you watch the sine function unwrap from the unit circle Note You can generalize the unwrapping Replace...

Page 581: ...bounded by f x 300x x2 625 g x 3cos 1x x 75 Procedure 1 Press z Select the default mode settings 2 Press p Set the viewing window Xmin 0 Ymin L5 Xmax 100 Ymax 10 Xscl 10 Yscl 1 Xres 1 3 Press o Turn o...

Page 582: ...solution is displayed and the value of X at the intersection which is the lower limit of the integral is stored in Ans and X 5 Press y 5 to go to the home screen Press y 7 and use Shade to see the ar...

Page 583: ...e of rotation 0 0 is the bottom center of the ferris wheel and 10 10 is the passenger s location at the rightmost point when T 0 X T r cos a where a 2pTs and r d 2 Y T r r sin a A person standing on t...

Page 584: ...ow Tmin 0 Xmin L13 Ymin 0 Tmax 12 Xmax 34 Ymax 31 Tstep 1 Xscl 10 Yscl 10 3 Press o Turn off all functions and stat plots Enter the expressions to define the path of the ferris wheel and the path of t...

Page 585: ...st where the paths cross in the top right quadrant of the ferris wheel 5 Press p Change the viewing window to concentrate on this portion of the graph Tmin 1 Xmin 0 Ymin 10 Tmax 3 Xmax 23 5 Ymax 25 5...

Page 586: ...nchanged Notice where the cursor is located This is the position of the ball when the ferris wheel passenger passes the intersection Did the ball or the passenger reach the intersection first You can...

Page 587: ...nInt and nDeriv from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that x x x dt x F 1 0 ln and that x dt t Dx x 1 1 1 Procedure 1 1 Press z Select the...

Page 588: ...ph style for Y1 to line and Y2 to path 4 Press r Press and to compare the values of Y1 and Y2 5 Press o Turn off Y1 and Y2 and then enter the numerical derivative of the integral of 1 X and the functi...

Page 589: ...t y 2 2 0 2 2 2 and Procedure 2 1 Press 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 3 P...

Page 590: ...TI 83 Plus Activities 587 4 Press o Enter the numerical derivative of Y5 in Y6 5 Press r Notice that although the three graphs defined by Y5 are different they share the same derivative...

Page 591: ...e other variables Explore the fact that the limiting case is the area of a circle pr2 Consider the formula A NB2 sin p N cos p N for the area of a regular polygon with N sides of equal length and B di...

Page 592: ...editor is displayed 3 Enter N 4 and B 6 to find the area A of a square with a distance B from center to vertex of 6 centimeters 4 Press to move the cursor onto A and then press The solution for A is d...

Page 593: ...ove the cursor onto A and then press Find A for N 10 then N 100 then N 150 then N 1000 and finally N 10000 Notice that as N gets large the area A approaches pB2 Now graph the equation to see visually...

Page 594: ...8 Notice that as X increases the value of Y converges to p62 which is approximately 113 097 Y2 pB2 the area of the circle is a horizontal asymptote to Y1 The area of an N sided regular polygon with r...

Page 595: ...ow how much will be applied to the interest and how much will be applied to the principal when they make the 240th payment 20 years from now Procedure 1 Press z and set the fixed decimal mode to 2 dec...

Page 596: ...press The present value or mortgage amount of 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 Pres...

Page 597: ...to 24 7 Press r After the graph is drawn press 240 to move the trace cursor to T 240 which is equivalent to 20 years of payments The graph shows that for the 240th payment X 240 358 03 of the 800 paym...

Page 598: ...t for the 240th payment X 240 441 97 of the 800 payment is interest Y 441 97 9 Press y 5 9 to paste 9 bal to the home screen Check the figures from the graph At which monthly payment will the principa...

Page 599: ...press y L MEMORY 1 About Displays information about the calculator 2 Mem Mgmt Del Reports memory availability and variable usage 3 Clear Entries Clears ENTRY last entry storage 4 ClrAllLists Clears al...

Page 600: ...ry each variable type is using This information can help you determine if some variables need to be deleted from memory to make room for new data such as programs or applications To check memory usage...

Page 601: ...ter memory is cleared Apps are independent 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...

Page 602: ...aph database or string follow these steps 1 Press y L to display the MEMORY menu 2 Select 2 Mem Mgmt Del to display the MEMORY MANAGEMENT DELETE menu 3 Select the type of data you want to delete or se...

Page 603: ...ividual variables one by one from this screen Note If you are deleting programs or Apps you will receive a message asking you to confirm this delete action Select 2 Yes to continue To leave any variab...

Page 604: ...storage area follow these steps 1 Press y L to display the MEMORY menu 2 Select 3 Clear Entries to paste the instruction to the home screen 3 Press to clear the ENTRY storage area To cancel Clear Ent...

Page 605: ...lect 4 ClrAllLists to paste the instruction to the home screen 3 Press to set to 0 the dimension of each list in memory To cancel ClrAllLists press ClrAllLists does not delete list names from memory f...

Page 606: ...M all data and programs in RAM will be erased For archive memory you can reset variables Vars applications Apps or both of these Be aware that if you choose to reset Vars all data and programs in arch...

Page 607: ...o 0 Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI 83 Plus follow these steps 1 Press y L to display the MEMORY menu 2 Select 7 Reset to display the RAM ARCHIVE ALL...

Page 608: ...To reset all RAM memory or RAM defaults on the TI 83 Plus follow these steps 1 From the RAM ARCHIVE ALL menu select 1 ALL RAM to display the RESET RAM menu or 2 Defaults to display the RESET DEFAULTS...

Page 609: ...you can choose to delete from user data archive all variables all applications or both variables and applications To reset all or part of user data archive memory follow these steps 1 From the RAM ARC...

Page 610: ...APPS menu 3 Both to display the RESET ARC BOTH menu 3 Read the message below the menu To cancel the reset and return to the home screen press To continue with the reset select 2 Reset A message indic...

Page 611: ...tem variables applications and programs are deleted All system variables are reset to default settings Tip Before you reset all memory consider restoring sufficient available memory by deleting only s...

Page 612: ...menu 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 Note When you clear memory the contrast...

Page 613: ...ariables cannot be edited or executed They can only be seen and unarchived For example if you archive list L1 you will see that L1 exists in memory but if you select it and paste the name L1 to the ho...

Page 614: ...nd user defined names yes yes Programs yes yes Functions Y1 Y2 Y9 Y0 no not applicable Parametric equations X1T and Y1T X6T and Y6T no not applicable Polar functions r1 r2 r3 r4 r5 r6 no not applicabl...

Page 615: ...ed names minX maxX RegEQ and others no not applicable System variables Xmin Xmax and others no not applicable Archiving and unarchiving can be done in two ways Use the 5 Archive or 6 UnArchive command...

Page 616: ...nce the system keeps track of where the variable has been and where it is now in RAM Even if there appears to be enough free space you may see a Garbage Collection message when you attempt to archive...

Page 617: ...mplete the archive process Note An asterisk will be displayed to the left of the Archived variable name to indicate it is archived To archive or unarchive a list variable L1 using a Memory Management...

Page 618: ...to the left of L1 to indicate it is an archived variable To unarchive a variable in this screen put the cursor next to the archived variable and press The asterisk will disappear 5 Press y 5 to leave...

Page 619: ...variables residing in RAM and then store them as a group in user data archive The variables in RAM are not erased The variables must exist in RAM before they can be grouped In other words archived dat...

Page 620: ...gh eighth characters can be letters numbers or q 5 Select the type of data you want to group You can select 1 All which shows all variables of all types available and selected You can also select 1 Al...

Page 621: ...he first item you want to copy into a group and then press A small square will remain to the left of all variables selected for grouping Repeat the selection process until all variables for the new gr...

Page 622: ...u During the ungrouping action if a duplicate variable name is detected in RAM the DUPLICATE NAME menu is displayed DuplicateName 1 Rename Prompts to rename receiving variable 2 Overwrite Overwrites d...

Page 623: ...ate variable names found in RAM Ungrouping resumes When you select 4 Omit the unit does not ungroup the variable in conflict with the duplicated variable name found in RAM Ungrouping resumes with the...

Page 624: ...and to move the selection cursor 4 next to the group variable you want to ungroup and then press The ungroup action is completed Note Ungrouping does not remove the group from user data archive You mu...

Page 625: ...ed variables to make additional room Responding to the Garbage Collection Message To cancel select 1 No If you choose 1 No the message ERR ARCHIVE FULL will be displayed To continue archiving select 2...

Page 626: ...in a loop that repetitively fills the user data archive Cancel the archive and determine the reason Why Is Garbage Collection Necessary The user data archive is divided into sectors When you first beg...

Page 627: ...f the last sector Depending on the size of individual variables the empty blocks may account for a significant amount of space Garbage collection occurs when the variable you are archiving is larger t...

Page 628: ...ariable it is copied to RAM but it is not actually deleted from user data archive memory Unarchived variables are marked for deletion meaning they will be deleted during the next garbage collection Se...

Page 629: ...ually available until after the next garbage collection If the Archive free amount shows enough available space for your variable there probably will be enough space to archive it after garbage collec...

Page 630: ...is done by using the GarbageCollect command To use the GarbageCollect command follow these steps 1 Press y CATALOG to display the CATALOG 2 Press or to scroll the CATALOG until the selection cursor p...

Page 631: ...cient space to archive a variable within a continuous block and within a single sector When there is insufficient space to store an application within a continuous block of memory When the message is...

Page 632: ...oduction Read the chapter for details Create and store a variable and a matrix and then transfer them to another TI 83 Plus 1 On the home screen of the sending unit press 5 5 Q Press to store 5 5 to Q...

Page 633: ...ing unit press to archive A An asterisk will appear signifying that A is now archived 7 Connect the calculators with the link cable Push both ends in firmly 8 On the receiving unit press y 8 to displa...

Page 634: ...ess A square dot next to A and Q indicates that each is selected to send 13 On the sending unit press to display the TRANSMIT menu 14 On the sending unit press 1 to select 1 Transmit and begin transmi...

Page 635: ...ncluded with the TI 83 Plus Silver Edition for this purpose The TI 83 Plus Silver Edition has a port to connect and communicate with Another TI 83 Plus Silver Edition A TI 83 Plus A TI 83 A TI 82 A TI...

Page 636: ...m The CBL 2 CBL and the CBR are optional accessories that also connect to a TI 83 Plus with the unit to unit link cable With a CBL 2 CBL or CBR and a TI 83 Plus you can collect and analyze real world...

Page 637: ...I82 Displays list names 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 Disp...

Page 638: ...you select an item on the LINK SEND menu the corresponding SELECT screen is displayed Note Each SELECT screen except All is initially displayed with nothing pre selected All is displayed with everyth...

Page 639: ...and 4 to select or deselect additional items Sending the Selected Items After you have selected items to send on the sending unit and set the receiving unit to receive follow these steps to transmit t...

Page 640: ...of the sending unit are transmitted to the RAM of the receiving unit Items sent from user data archive of the sending unit are transmitted to user data archive of the receiving unit After all selecte...

Page 641: ...Silver Edition will be sent to the RAM of the receiving TI 83 Plus Silver Edition or TI 83 Plus Variables and applications stored in the user data archive of the sending TI 83 Plus Silver Edition will...

Page 642: ...unit press y 8 to display the RECEIVE menu 5 Press on the receiving unit 6 Press on the sending unit A copy of the selected item s is sent to the receiving unit 7 Disconnect the link cable only from...

Page 643: ...g unit 14 Repeat steps 7 through 13 until the items are sent to all additional units Sending to a TI 83 You can send all variables from a TI 83 Plus to a TI 83 except Flash applications application va...

Page 644: ...t to transmit 5 Press on the sending TI 83 Plus to display the LINK TRANSMIT menu 6 Confirm that the receiving unit is set to receive 7 Press on the sending TI 83 Plus to select 1 Transmit and begin t...

Page 645: ...Lists to TI82 The SELECT screen is displayed 4 Select each list to transmit 5 Press to display the LINK TRANSMIT menu 6 Confirm that the receiving unit is set to receive 7 Press to select 1 Transmit a...

Page 646: ...to unit cable to link two units together 2 Set the TI 73 to receive 3 Press y 8 2 on the sending TI 83 Plus to select 2 All The SELECT screen is displayed 4 Select items you want to send 5 Press on th...

Page 647: ...displayed The receiving unit is ready to receive transmitted items To exit the receive mode without receiving items press and then select 1 Quit from the Error in Xmit menu When transmission is comple...

Page 648: ...When you select 2 Overwrite the sending unit s data overwrites the existing data stored on the receiving unit Transmission resumes When you select 3 Omit the sending unit does not send the data in the...

Page 649: ...lus from a TI 82 but differences between the two products may affect some transmitted data This table shows differences for which the software built into the TI 83 Plus automatically adjusts when a TI...

Page 650: ...on the receiving TI 83 Plus to account for these differences If you do not edit these differences the TI 83 Plus will misinterpret the data The TI 83 Plus reinterprets TI 82 prefix functions to includ...

Page 651: ...1 2 X while the TI 82 evaluates 1 2X as 1 2 X Chapter 2 Receiving from a TI 73 The TI 83 Plus can receive real numbers pics real lists L1 through L6 and named lists from a TI 73 Categorical lists list...

Page 652: ...Communication Link 649 5 Press on the sending TI 73 to display the LINK TRANSMIT menu 6 Confirm that the receiving unit is set to receive 7 Press on the sending TI 73 to select 1 Transmit and begin tr...

Page 653: ...emory and mode settings no Flash applications or archived items to another TI 83 Plus Silver Edition You can also backup RAM memory and mode settings to a TI 83 Plus To perform a RAM memory backup 1 U...

Page 654: ...g unit to continue the backup or Press 2 Quit on the receiving unit to cancel the backup and return to the LINK SEND menu Note If a transmission error is returned during a backup the receiving unit is...

Page 655: ...83 and a TI 83 Plus You attempt a data transfer from a TI 83 Plus to a TI 83 TI 82 or TI 73 with variables or features not recognized by the TI 83 TI 82 or TI 73 New variable types and features not r...

Page 656: ...try to use Get with a calculator instead of a CBL 2 CBL or CBR You try to use GetCalc with a TI 83 instead of a TI 83 Plus Silver Edition or TI 83 Plus Insufficient Memory in Receiving Unit During tra...

Page 657: ...to the page listed on the right side of the table From the CATALOG you can paste any function or instruction to the home screen or to a command line in the program editor However some functions and in...

Page 658: ...ngle value Returns the polar angle of a complex number or list of complex numbers CPX 4 angle ANOVA list1 list2 list3 list20 Performs a one way analysis of variance for comparing the means of two to 2...

Page 659: ...sOn a bi Sets the mode to rectangular complex number mode a bi z a bi bal npmt roundvalue Computes the balance at npmt for an amortization schedule using stored values for PV and PMT and rounds the co...

Page 660: ...value for the specified degrees of freedom df y DISTR 6 c2pdf c2 Test observedmatrix expectedmatrix drawflag Performs a chi square test drawflag 1 draws results drawflag 0 calculates results TESTS C...

Page 661: ...aph style settings to z Connected CoordOff Turns off cursor coordinate value display y CoordOff CoordOn Turns on cursor coordinate value display y CoordOn cos value Returns cosine of a real number exp...

Page 662: ...mn from top to bottom y MATH 0 cumSum dbd date1 date2 Calculates the number of days between date1 and date2 using the actual day count method 1 Finance CALC D dbd value4Dec Displays a real or complex...

Page 663: ...ion model results y N DiagnosticOn dim listname Returns the dimension of listname y 9 OPS 3 dim dim matrixname Returns the dimension of matrixname as a list y MATH 3 dim length dim listname Assigns a...

Page 664: ...DRAW 6 DrawF DrawInv expression Draws the inverse of expression by plotting X values on the y axis and Y values on the x axis y DRAW 8 DrawInv DS variable value commandA commands Decrements variable b...

Page 665: ...res it in Strn y N Equ4String expr string Converts string to an expression and executes it y N expr ExpReg Xlistname Ylistname freqlist regequ Fits an exponential regression model to Xlistname and Yli...

Page 666: ...upper tolerance Returns the value of variable where the local maximum of expression occurs between lower and upper with specified tolerance MATH 7 fMax fMin expression variable lower upper tolerance R...

Page 667: ...s the fractional part or parts of a real or complex number expression list or matrix NUM 4 fPart pdf x numerator df denominator df Computes the distribution probability between lowerbound and upperbou...

Page 668: ...df geometpdf p x Computes a probability at x the number of the trial on which the first success occurs for the discrete geometric distribution with the specified probability of success p y DISTR D geo...

Page 669: ...tical split screen mode z G T Horiz Sets horizontal split screen mode z Horiz Horizontal y Draws a horizontal line at y y DRAW 3 Horizontal identity dimension Returns the identity matrix of dimension...

Page 670: ...or list of complex numbers CPX 3 imag IndpntAsk Sets table to ask for independent variable values y Indpnt Ask IndpntAuto Sets table to generate independent variable values automatically y Indpnt Aut...

Page 671: ...ormal distribution function for a given area under the normal distribution curve specified by m and s y DISTR 3 invNorm iPart value Returns the integer part of a real or complex number expression list...

Page 672: ...Y2 y DRAW 2 Line LinReg a bx Xlistname Ylistname freqlist regequ Fits a linear regression model to Xlistname and Ylistname with frequency freqlist and stores the regression equation to regequ CALC 8 L...

Page 673: ...s the regression equation to regequ CALC 9 LnReg log value Returns logarithm of a real or complex number expression or list Logistic Xlistname Ylistname freqlist regequ Fits a logistic regression mode...

Page 674: ...n list freqlist Returns the median of list with frequency freqlist y 9 MATH 4 median Med Med Xlistname Ylistname freqlist regequ Fits a median median model to Xlistname and Ylistname with frequency fr...

Page 675: ...st of the combinations of each element in list taken value at a time PRB 3 nCr listA nCr listB Returns a list of the combinations of each element in listA taken each element in listB at a time PRB 3 n...

Page 676: ...e nPr list Returns a list of the permutations of value taken each element in list at a time PRB 2 nPr list nPr value Returns a list of the permutations of each element in list taken value at a time PR...

Page 677: ...splays value suspends program execution until you press CTL 8 Pause Plot type Xlistname Ylistname mark Defines Plot 1 2 or 3 of type Scatter or xyLine for Xlistname and Ylistname using mark y PLOTS 1...

Page 678: ...pecified stat plots 1 2 or 3 y STAT PLOTS 5 PlotsOn Pmt_Bgn Specifies an annuity due where payments occur at the beginning of each payment period 1 Finance CALC F Pmt_Bgn Pmt_End Specifies an ordinary...

Page 679: ...start end Returns product of list elements between start and end y 9 MATH 6 prod Prompt variableA variableB variable n Prompts for value for variableA then variableB and so on I O 2 Prompt 1 PropZInt...

Page 680: ...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 On PwrReg Xlistname Ylistname freqlist regequ Fits a power regression mode...

Page 681: ...me Ylistname freqlist regequ Fits a quadratic regression model to Xlistname and Ylistname with frequency freqlist and stores the regression equation to regequ CALC 5 QuadReg QuartReg Xlistname Ylistna...

Page 682: ...random real number from a specified Normal distribution specified by m and s for a specified number of trials numtrials PRB 6 randNorm re qi Sets the mode to polar complex number mode re qi z re qi Re...

Page 683: ...alling program CTL E Return round value decimals Returns a number expression list or matrix rounded to decimals 9 NUM 2 round row value matrix row Returns a matrix with row of matrix multiplied by val...

Page 684: ...1 is alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results TESTS D 2 Samp Test 2 Samp Test Sx1 n1 Sx2 n2 alternative drawflag Summary stats input Performs a two samp...

Page 685: ...ple t test alternative L1 is alternative 0 is alternative 1 is pooled 1 pools variances pooled 0 does not pool variances drawflag 1 draws results drawflag 0 calculates results TESTS 4 2 SampTTest 2 Sa...

Page 686: ...ific data points from a scatter plot or xyLine plot only and then stores the selected data points to two new lists Xlistname and Ylistname y 9 OPS 8 Select Send variable Sends contents of variable to...

Page 687: ...lowerbound upperbound df Draws the density function for the c2 distribution specified by degrees of freedom df and shades the area between lowerbound and upperbound y DRAW 3 Shadec2 Shade lowerbound...

Page 688: ...ons Xlistname Ylistname period regequ Attempts iterations times to fit a sinusoidal regression model to Xlistname and Ylistname using a period guess and stores the regression equation to regequ CALC C...

Page 689: ...urns to home screen CTL F Stop Store value variable Stores value in variable StoreGDB n Stores current graph in database GDBn y STO 3 StoreGDB StorePic n Stores current picture in picture Picn y STO 1...

Page 690: ...lowerbound and upperbound for the specified degrees of freedom df y DISTR 5 tcdf Text row column text1 text2 text n Writes text on graph beginning at pixel row column where 0 row 57 and 0 column 94 y...

Page 691: ...m0 v Sx n alternative drawflag Summary stats input Performs a t test with frequency freqlist alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results...

Page 692: ...t Performs one variable analysis on the data in Xlistname with frequency freqlist CALC 1 1 Var Stats 2 Var Stats Xlistname Ylistname freqlist Performs two variable analysis on the data in Xlistname an...

Page 693: ...1 and Y 0 1 and displays the graph screen with the origin centered on the screen q ZOOM 4 ZDecimal ZInteger Redefines the viewing window using these dimensions X 1 Xscl 10 Y 1 Yscl 10 q ZOOM 8 ZIntege...

Page 694: ...the viewing window so that all statistical data points are displayed q ZOOM 9 ZoomStat ZoomSto Immediately stores the current viewing window q MEMORY 2 ZoomSto ZPrevious Replots the graph using the wi...

Page 695: ...n alternative drawflag Summary stats input Performs a z test alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results TESTS 1 Z Test ZTrig Replots the...

Page 696: ...xthrootx list Returns xthroot of list elements MATH 5 x listx value Returns list roots of value MATH 5 x listAx listB Returns listA roots of listB MATH 5 x Cube value3 Returns the cube of a real or co...

Page 697: ...ns 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 if valueA valueB Returns 0 if valueA valueB valueA and v...

Page 698: ...elements Powers matrix power Returns matrix elements raised to power Negation Lvalue Returns the negative of a real or complex number expression list or matrix Power of ten 10 value Returns 10 raised...

Page 699: ...list elements divided by value Division value list Returns value divided by list elements Division listA listB Returns listA elements divided by listB elements Addition valueA valueB Returns valueA p...

Page 700: ...lue from list elements Subtraction listANlistB Subtracts listB elements from listA elements Subtraction matrixANmatrixB Subtracts matrixB elements from matrixA elements Minutes notation degrees minute...

Page 701: ...Plot3 Y1 Y2 Y3 Y4 Y9 Y0 Par mode Plot1 Plot2 Plot3 X1T Y1T X2T Y2T X6T Y6T Pol mode Plot1 Plot2 Plot3 r1 r2 r3 r4 r5 r6 Seq mode Plot1 Plot2 Plot3 nMin 1 u n u nMin v n v nMin w n w nMin y y STAT PLO...

Page 702: ...24 Xmin 10 Xmax 10 Xscl 1 Ymin 10 Ymax 10 Yscl 1 Pol mode WINDOW qmin 0 qmax p 2 qstep p 24 Xmin 10 Xmax 10 Xscl 1 Ymin 10 Ymax 10 Yscl 1 Seq mode WINDOW nMin 1 nMax 10 PlotStart 1 PlotStep 1 Xmin 10...

Page 703: ...0 ZoomFit MEMORY 1 ZPrevious 2 ZoomSto 3 ZoomRcl 4 SetFactors MEMORY Set Factors ZOOM FACTORS XFact 4 YFact 4 y Func Par Pol modes RectGC PolarGC CoordOn CoordOff GridOff GridOn AxesOn AxesOff LabelOf...

Page 704: ...imum 4 maximum 5 intersect 6 dy dx 7 f x dx Par mode CALCULATE 1 value 2 dy dx 3 dy dt 4 dx dt Pol mode CALCULATE 1 value 2 dy dx 3 dr dq Seq mode CALCULATE 1 value z Normal Sci Eng Float 0123456789 R...

Page 705: ...bles and Reference Information 702 y 8 SEND 1 All 2 AllN 3 Prgm 4 List 5 Lists to TI82 6 GDB 7 Pic 8 Matrix 9 Real 0 Complex A Y Vars B String C Apps D AppVars E Group F SendId G SendOS H Back Up RECE...

Page 706: ...r Stats 3 Med Med 4 LinReg ax b 5 QuadReg 6 CubicReg 7 QuartReg 8 LinReg a bx 9 LnReg 0 ExpReg A PwrReg B Logistic C SinReg TESTS 1 Z Test 2 T Test 3 2 SampZTest 4 2 SampTTest 5 1 PropZTest 6 2 PropZT...

Page 707: ...ct 9 augment 0 List4matr A Matr4list B MATH 1 min 2 max 3 mean 4 median 5 sum 6 prod 7 stdDev 8 variance MATH 1 4Frac 2 4Dec 3 3 4 3 5 x 6 fMin 7 fMax 8 nDeriv 9 fnInt 0 Solver NUM 1 abs 2 round 3 iPa...

Page 708: ...xor 4 not y y NAMES 1 A 2 B 3 C 4 D 5 E 6 F 7 G 8 H 9 I 0 J MATH 1 det 2 T 3 dim 4 Fill 5 identity 6 randM 7 augment 8 Matr4list 9 List4matr 0 cumSum A ref B rref C rowSwap D row E row F row EDIT 1 A...

Page 709: ...PRGM editor CTL 1 If 2 Then 3 Else 4 For 5 While 6 Repeat 7 End 8 Pause 9 Lbl 0 Goto A IS B DS C Menu D prgm E Return F Stop G DelVar H GraphStyle PRGM editor I O 1 Input 2 Prompt 3 Disp 4 DispGraph 5...

Page 710: ...angent 6 DrawF 7 Shade 8 DrawInv 9 Circle 0 Text A Pen POINTS 1 Pt On 2 Pt Off 3 Pt Change 4 Pxl On 5 Pxl Off 6 Pxl Change 7 pxl Test STO 1 StorePic 2 RecallPic 3 StoreGDB 4 RecallGDB VARS 1 Window 2...

Page 711: ...dow T q 1 Tmin 2 Tmax 3 Tstep 4 qmin 5 qmax 6 qstep Window U V W 1 u nMin 2 v nMin 3 w nMin 4 nMin 5 nMax 6 PlotStart 7 PlotStep VARS Zoom ZX ZY 1 ZXmin 2 ZXmax 3 ZXscl 4 ZYmin 5 ZYmax 6 ZYscl 7 ZXres...

Page 712: ...TI 83 Plus Tables and Reference Information 709 VARS GDB GRAPH DATABASE 1 GDB1 2 GDB2 9 GDB9 0 GDB0 Picture PICTURE 1 Pic1 2 Pic2 9 Pic9 0 Pic0...

Page 713: ...sy 8 minX 9 maxX 0 minY A maxY Statistics G 1 Gx 2 Gx2 3 Gy 4 Gy2 5 Gxy Statistics EQ 1 RegEQ 2 a 3 b 4 c 5 d 6 e 7 r 8 r2 9 R2 Statistics TEST 1 p 2 z 3 t 4 c2 5 6 df 7 8 1 9 2 0 s A 1 B 2 C Sx1 D S...

Page 714: ...TblStart 2 Tbl 3 TblInput String STRING 1 Str1 2 Str2 3 Str3 4 Str4 9 Str9 0 Str0 Y VARS Function FUNCTION 1 Y1 2 Y2 3 Y3 4 Y4 9 Y9 0 Y0 Parametric PARAMETRIC 1 X1T 2 Y1T 3 X2T 4 Y2T A X6T B Y6T Pola...

Page 715: ...ference Information 712 y DISTR 1 normalpdf 2 normalcdf 3 invNorm 4 tpdf 5 tcdf 6 c2pdf 7 c2cdf 8 pdf 9 cdf 0 binompdf A binomcdf B poissonpdf C poissoncdf D geometpdf E geometcdf DRAW 1 ShadeNorm 2 S...

Page 716: ...713 1 Finance 2 CBL CBR Finance CBL CBR CALC 1 TVM Solver 2 tvm_Pmt 3 tvm_ 4 tvm_PV 5 tvm_ 6 tvm_FV 7 npv 8 irr 9 bal 0 GPrn A GInt B 4Nom C 4Eff D dbd E Pmt_End F Pmt_Bgn VARS 1 2 3 PV 4 PMT 5 FV 6 P...

Page 717: ...MEMORY MEMORY 1 About 2 Mem Mgmt Del 3 Clear Entries 4 ClrAllLists 5 Archive 6 UnArchive 7 Reset 8 Group Mem Mgmt Del RAM FREE 25631 ARC FREE 131069 1 All 2 Real 3 Complex 4 List 5 Matrix 6 Y Vars 7...

Page 718: ...oth ALL 1 All Memory Resetting RAM erases all data and programs from RAM Resetting Both erases all data programs and Apps from Archive Resetting ALL erases all data programs and Apps from RAM and Arch...

Page 719: ...RC BOTH 1 No 2 Reset Resetting Vars erases all data and programs from Archive Resetting Apps erases all Apps from Archive Resetting Both erases all data programs and Apps from Archive ALL RESET MEMORY...

Page 720: ...TI 83 Plus Tables and Reference Information 717 MEMORY UNGROUP 1 name 2 name y N CATALOG cosh coshL1 Equ4String expr inString length sinh sinhL1 String4Equ sub tanh tanhL1...

Page 721: ...ore nongraphing data The variables list names L1 through L6 are restricted to lists you cannot store another type of data to them The variables matrix names A through J are restricted to matrices you...

Page 722: ...archive memory where they cannot be edited or deleted inadvertantly Archiving also allows you to free up RAM for variables that may require additional memory The names of archived variables are preced...

Page 723: ...rence Information 720 The variables below are reserved for use by the TI 83 Plus You cannot store to them n v Sx sx minX maxX Gy Gy2 Gxy a b c RegEQ x1 x2 y1 z t F c2 v1 Sx1 n1 lower upper r2 R2 and o...

Page 724: ...istic regression algorithm applies nonlinear recursive least squares techniques to optimize the following cost function 2 1 1 N i i i bx y ae c J which is the sum of the squares of the residual errors...

Page 725: ...llowing cost function 2 1 sin N i i i y d c bx a J which is the sum of the squares of the residual errors where x the independent variable list y the dependent variable list N the dimension of the lis...

Page 726: ...r SS Factor MS Factor df Error SS Error MS Error The sum of squares SS that make up the mean squares are I i i i x x n SS Factor 1 2 I i i i x S n SS Error 1 2 1 The degrees of freedom df that make up...

Page 727: ...eviation of each list ni the length of each list x the mean of all lists 2 Samp Test Below is the definition for the 2 Samp Test Sx1 Sx2 Sample standard deviations having n1 1 and n2 1 degrees of free...

Page 728: ...1 s2 F dx n n x f p 0 2 1 1 1 2 Samp Test for the alternative hypothesis s1 s2 Limits must satisfy the following bnd bnd U L dx n n x f dx n n x f p 1 1 1 1 2 2 1 0 2 1 where Lbnd Ubnd lower and upper...

Page 729: ...the 2 SampTTest The two sample t statistic with degrees of freedom df is S x x t 2 1 where the computation of S and df are dependent on whether the variances are pooled If the variances are not poole...

Page 730: ...TI 83 Plus Tables and Reference Information 727 otherwise df Sx n Sx n Sxp 2 2 2 2 1 1 1 1 p Sx n n S 2 1 1 1 2 2 1 n n df and Sxp is the pooled variance...

Page 731: ...lue of money amortization cash flow interest rate conversions and days between dates Time Value of Money 1 1 ln x y e i where PMT 0 y C Y P Y x 01 I C Y C Y compounding periods per year P Y payment pe...

Page 732: ...ormation 729 1 100 1 ln x y e Y C I where x i y P Y C Y k i Gi 1 where k 0 for end of period payments k 1 for beginning of period payments 1 ln ln i i PV G PMT i FV G PMT N i i where i 0 PMT FV PV N w...

Page 733: ...Plus Tables and Reference Information 730 where i 0 N FV PV PMT where i 0 i G PMT i FV i G PMT PV i N i 1 1 where i 0 N PMT FV PV where i 0 i G PMT PV i i G PMT FV i N i 1 where i 0 N PMT PV FV where...

Page 734: ...nce Information 731 Amortization If computing bal pmt2 npmt Let bal 0 RND PV Iterate from m 1 to pmt2 I 1 1 12 I m m PMT RND m bal m bal m bal i RND RND then 2 pmt bal bal 1 2 Pr pmt bal pmt bal n Pr...

Page 735: ...rincipal and interest are dependent on the values of PMT PV and pmt1 and pmt2 Cash Flow N j n S j i i i CF CF npv j j 1 0 1 1 1 1 where 0 0 1 1 j j n S j i i j Net present value is dependent on the va...

Page 736: ...and subsequent cash flows CFj i I 100 Interest Rate Conversions 4Eff 1 100 1 ln x CP e where x 01 Nom CP 4Nom 1 100 1 ln 1 x CP e CP where x 01 Eff Eff effective rate CP compounding periods Nom nomina...

Page 737: ...ber of Days II Number of Days I Number of Days I Y1 YB 365 number of days MB to M1 DT1 4 1 YB Y Number of Days II Y2 YB 365 number of days MB to M2 DT2 4 2 YB Y where M1 month of first date DT1 day of...

Page 738: ...r AAA alkaline batteries and one lithium battery The lithium battery provides auxiliary power to retain memory while you replace the AAA batteries When the battery voltage level drops below a usable l...

Page 739: ...place the batteries within about two weeks the calculator may turn off by itself or fail to turn on until you install new batteries If Message B is displayed you must to replace the batteries immediat...

Page 740: ...ace 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 batteries Replacing th...

Page 741: ...A alkaline batteries remove all four discharged AAA batteries and install new ones according to the polarity and N diagram in the battery compartment To replace the lithium battery remove the screw fr...

Page 742: ...s and release y and then press and hold until the display is sufficiently light 2 If an error menu is displayed follow the steps in Chapter 1 Refer to the Error Conditions table for details about spec...

Page 743: ...t all be sure the batteries are fresh and that they are installed properly Refer to battery information on pages 736 and 737 6 If the calculator still doesn t work even though you are sure the batteri...

Page 744: ...battery While continuing to hold down the key press and hold down the key When the home screen is displayed release the keys b Press y L to display the MEMORY menu c Select 7 Reset to display the RAM...

Page 745: ...gested Remedies ARCHIVED You have attempted to use edit or delete an archived variable For example dim L1 is an error if L1 is archived ARCHIVE FULL You have attempted to archive a variable and there...

Page 746: ...is not between lower and upper Your guess and several points around it are undefined Examine a graph of the function If the equation has a solution change the bounds and or the initial guess BOUND In...

Page 747: ...ropriate chapter In an editor you entered a type that is not allowed such as a matrix entered as an element in the stat list editor See the appropriate chapter You attempted to store an incorrect data...

Page 748: ...and the appropriate chapter You attempted a logarithmic or power regression with a LX or an exponential or power regression with a LY You attempted to compute GPrn or GInt with pmt2 pmt1 DUPLICATE You...

Page 749: ...er than L1 through L6 from a TI 83 Plus to a TI 82 You attempted to transfer L1 through L6 from a TI 83 Plus to a TI 82 without using 5 Lists to TI82 on the LINK SEND menu ID NOT FOUND This error occu...

Page 750: ...u may have transferred UnN1 to the TI 83 Plus from the TI 82 and then tried to reference it In Seq mode you attempted to graph a phase plot without defining both equations of the phase plot In Seq mod...

Page 751: ...than an integer between 1 and 99 You attempted to invert a matrix that is not square ITERATIONS The solve function or the equation solver has exceeded the maximum number of permitted iterations Examin...

Page 752: ...tatement that terminates the loop is never reached MemoryFull You are unable to transmit an item because the receiving unit s available memory is insufficient You may skip the item or exit receive mod...

Page 753: ...The TI 83 Plus allows for undefined values on a graph OVERFLOW You attempted to enter or you have calculated a number that is beyond the range of the calculator This error is not returned during grap...

Page 754: ...that are not appropriate Statistical analyses must have at least two data points Med Med must have at least three points in each partition When you use a frequency list its elements must be 0 Xmax N...

Page 755: ...calculation such as a after Med Med VALIDATION Electrical interference caused a link to fail or this calculator is not authorized to run the application VARIABLE You have tried to archive a variable...

Page 756: ...ned qmax qmin and qstep 0 or vice versa You attempted to define Tstep 0 You defined Tmax Tmin and Tstep 0 or vice versa Window variables are too small or too large to graph correctly You may have atte...

Page 757: ...lays up to 14 digits in Float mode Using a fixed decimal setting other than Float causes RegEQ results to be rounded and stored with the specified number of decimal places Xmin is the center of the le...

Page 758: ...In Horiz split screen mode Ymax is calculated as Ymin Y 30 In G T split screen mode Ymax is calculated as Ymin Y 50 Cursor coordinates are displayed as eight character numbers which may include a neg...

Page 759: ...x 1012 radian or degree sinL1 x cosL1 x L1 x 1 ln x log x 10L100 x 10100 ex L10100 x 230 25850929940 10x L10100 x 100 sinh x cosh x x 230 25850929940 tanh x x 10100 sinhL1 x x 5 1099 coshL1 x 1 x 5 10...

Page 760: ...TI 83 Plus General Information 757 Function Results Function Range of Result sinL1 x tanL1 x L90 to 90 or Lp 2 to p 2 radians cosL1 x 0 to 180 or 0 to p radians...

Page 761: ...nd E mail Inquiries education ti com support Phone 800 TI CARES 800 842 2737 For U S Canada Mexico Puerto Rico and Virgin Islands only International Information education ti com support Click the Inte...

Page 762: ...Customers in the U S Canada Mexico Puerto Rico and Virgin Islands Always contact TI Customer Support before returning a product for service All other customers Refer to the leaflet enclosed with this...

Page 763: ...IF THE PRODUCT HAS BEEN DAMAGED BY ACCIDENT OR UNREASONABLE USE NEGLECT IMPROPER SERVICE OR OTHER CAUSES NOT ARISING OUT OF DEFECTS IN MATERIALS OR CONSTRUCTION Warranty Disclaimers ANY IMPLIED WARRA...

Page 764: ...e postage requirement no charge will be made for such repair and or replacement TI strongly recommends that you insure the product for value prior to mailing Software Software is licensed not sold TI...

Page 765: ...y provided in the One Year Limited Warranty for this product Texas Instruments does not promise that facilities for the repair of this product or parts for the repair of this product will be available...

Page 766: ...he software will be free from errors or meet your specific requirements All software is provided AS IS Copyright The software and any documentation supplied with this product are protected by copyrigh...

Page 767: ...type modified box 370 plot type normal probability 372 N subtraction 63 696 user created list name symbol 309 668 Store 29 686 square root 64 695 pixel mark 235 373 L1 inverse 64 271 694 c2 Test chi s...

Page 768: ...z test 402 676 1 Var Stats one variable statistics 357 689 10 power of ten 65 695 2 square 64 694 2 PropZInt two proportion z confidence interval 411 676 2 PropZTest two proportion z test 403 677 2 S...

Page 769: ...7 598 AppVars 27 598 arccosine cosL1 63 Archive 30 610 655 archive full error 628 742 garbage collection 623 memory error 623 archived variables 719 arcsine sinL1 63 arctangent tanL1 63 Asm 537 655 As...

Page 770: ...ring all lists ClrAllLists 596 657 drawing ClrDraw 217 657 entries Clear Entries 596 657 home screen ClrHome 532 657 list ClrList 349 658 table ClrTable 532 658 ClrAllLists clear all lists 596 657 Clr...

Page 771: ...to equation conversion 493 686 CoordOff 126 658 CoordOn 126 658 correlation coefficient r 354 cosL1 arccosine 63 658 cos cosine 63 658 coshM1 hyperbolic arccosine 496 658 cosh hyperbolic cosine 496 6...

Page 772: ...DispGraph display graph 530 660 display contrast 8 display cursors 12 DispTable display table 530 661 DISTR distributions menu 424 DISTR DRAW distributions drawing menu 434 distribution functions c2cd...

Page 773: ...62 Eng engineering notation mode 20 662 ENTRY last entry key 33 entry cursor 12 EOS Equation Operating System 47 eqn equation variable 72 Equ4String equation to string conversion 491 662 equal to rela...

Page 774: ...81 path of a ball 154 pendulum lengths and periods 315 polar rose 166 roots of a function 203 sending variables 629 solving a system of linear equations 256 unit circle 246 volume of a cylinder 497 ex...

Page 775: ...egression 722 time value of money 728 two sample Test 724 two sample t test 726 fPart fractional part 80 273 664 free moving cursor 132 frequency 357 Full full screen mode 25 664 full screen mode Full...

Page 776: ...eometpdf 433 665 Get get data from CBL 2 CBL or CBR 533 665 GetCalc get data from TI 83 533 665 getKey 531 665 Getting Started See examples Getting Started Goto 519 665 graph database GDB 242 graph st...

Page 777: ...descriptions table 419 pooled option 391 STAT TESTS menu 394 test and interval output variables 422 Input 526 527 667 insert cursor 12 inString in string 492 667 instruction definition of 16 int grea...

Page 778: ...3 to a TI 82 641 646 transmitting items 629 two TI 83 Plus units 638 LinReg a bx linear regression 360 669 LinReg ax b linear regression 359 669 LinRegTTest linear regression t test 415 669 LIST MATH...

Page 779: ...276 displaying a matrix 267 displaying matrix elements 260 editing matrix elements 262 indicator 265 inverse L1 271 math functions 269 matrix math functions det T dim Fill identity randM augment Matr...

Page 780: ...64 Func graphing 23 664 G T screen 25 666 Horiz screen 25 666 Normal notation 20 672 Par Param graphing 23 674 Pol Polar graphing 23 675 Radian angle 22 99 678 re qi complex polar 24 84 679 Real 24 67...

Page 781: ...write All 619 P P4Rx P4Ry polar to rectangular conversions 100 678 P Y number of payment periods per year variable 444 463 panning 136 Par Param parametric graphing mode 23 674 parametric equations 15...

Page 782: ...g cursor 173 graph format 171 graph styles 169 mode Pol Polar 23 168 675 moving the cursor to a value 174 selecting and deselecting 169 tracing 173 window variables 170 Y editor 168 ZOOM operations 17...

Page 783: ...78 QuartReg quartic regression 360 678 Quick Zoom 136 Quit 619 645 quitting CBL CBR 480 R r correlation coefficient 354 r radian notation 99 692 R4Pr R4Pq rectangular to polar conversions 100 681 r2 R...

Page 784: ...69 693 root of a function 148 round 80 271 680 row 680 rowSwap 281 680 rref reduced row echelon form 280 681 S samples of 475 Scatter plot type 369 Sci scientific notation mode 20 683 scientific nota...

Page 785: ...plit screen modes from a program 255 tables from a program 206 SetUpEditor 350 683 shade above graph style 117 shade below graph style 117 Shade 437 684 Shadec2 436 684 Shade 226 684 Shade_t 435 684 S...

Page 786: ...view elements context 344 view names context 346 STAT PLOTS menu 373 stat tests and confidence intervals c Test chi square test 412 1 PropZInt one proportion z confidence interval 410 1 PropZTest one...

Page 787: ...ePic 239 686 storing graph databases GDBs 242 graph pictures 239 variable values 29 String4Equ string to equation conversions 493 686 strings concatenation 490 696 converting 491 defined 484 displayin...

Page 788: ...532 keyboard 2 menu map 698 TI Connect 632 TI GRAPH LINK 632 633 Time axes format 187 687 time value of money TVM variable annual interest rate 462 variable number of payment periods 462 C Y variable...

Page 789: ...5 grid 127 labels 127 pixels 237 points 233 stat plots 115 375 tvm_ payment periods 450 688 tvm_FV future value 451 688 tvm_I interest rate 449 688 tvm_Pmt payment amount 449 688 tvm_PV present value...

Page 790: ...enu GDB 44 Picture 44 Statistics 44 String 44 Table 44 Window 44 Zoom 44 Vertical draw line 221 689 viewing window 121 Volt 468 Voltage 468 Volt Time 468 vw uvAxes axes format 187 689 W w sequence fun...

Page 791: ...39 140 141 142 143 144 145 146 cursor 139 factors 145 function graphing 138 parametric graphing 165 polar graphing 174 sequence graphing 191 Zoom In zoom in 140 690 ZOOM MEMORY menu 144 ZOOM menu 138...

Page 792: ...the TI 83 Plus 6 Turning On the Calculator 6 Turning Off the Calculator 7 Batteries 7 Setting the Display Contrast 8 Adjusting the Display Contrast 8 When to Replace Batteries 9 The Display 10 Types o...

Page 793: ...ci Eng 20 Float 0123456789 21 Radian Degree 22 Func Par Pol Seq 23 Connected Dot 23 Sequential Simul 24 Real a bi re qi 24 Full Horiz G T 25 Using TI 83 Plus Variable Names 26 Variables and Defined It...

Page 794: ...40 Moving from One Menu to Another 41 Scrolling a Menu 41 Selecting an Item from a Menu 41 Leaving a Menu without Making a Selection 43 VARS and VARS Y VARS Menus 44 VARS Menu 44 Selecting a Variable...

Page 795: ...erential Statistics 55 Applications 56 CATALOG 56 Programming 57 Archiving 57 Communication Link 57 Error Conditions 59 Diagnosing an Error 59 Correcting an Error 60 Chapter 2 Math Angle and Test Oper...

Page 796: ...Solver 72 Solver 72 Entering an Expression in the Equation Solver 72 Entering and Editing Variable Values 74 Solving for a Variable in the Equation Solver 75 Editing an Equation Stored to eqn 77 Equat...

Page 797: ...out Radian Versus Degree Mode 85 Interpreting Complex Results 86 Rectangular Complex Mode 86 Polar Complex Mode 87 MATH CPX Complex Operations 88 MATH CPX Menu 88 conj 88 real 89 imag 89 angle 90 abs...

Page 798: ...enu 103 Boolean Operators 103 and or xor 103 not 104 Using Boolean Operations 104 Chapter 3 Function Graphing 105 Getting Started Graphing a Circle 105 Defining Graphs 107 TI 83 Plus Graphing Mode Sim...

Page 799: ...e Screen or a Program 115 Setting Graph Styles for Functions 117 Graph Style Icons in the Y Editor 117 Setting the Graph Style 118 Shading Above and Below 119 Setting a Graph Style from a Program 120...

Page 800: ...ree Moving Cursor 132 Graphing Accuracy 132 Exploring Graphs with TRACE 134 Beginning a Trace 134 Moving the Trace Cursor 134 Moving the Trace Cursor from Function to Function 135 Moving the Trace Cur...

Page 801: ...XFact and YFact 146 Using ZOOM MEMORY Menu Items from the Home Screen or a Program 146 Using the CALC Calculate Operations 147 CALCULATE Menu 147 value 147 zero 148 minimum maximum 150 intersect 151...

Page 802: ...63 Free Moving Cursor 163 TRACE 163 Moving the Trace Cursor to Any Valid T Value 164 ZOOM 165 CALC 165 Chapter 5 Polar Graphing 166 Getting Started Polar Rose 166 Defining and Displaying Polar Graphs...

Page 803: ...e Graphing Mode 179 TI 83 Plus Sequence Functions u v and w 179 Displaying the Sequence Y Editor 180 Selecting Graph Styles 181 Selecting and Deselecting Sequence Functions 181 Defining and Editing a...

Page 804: ...odel 197 Comparing TI 83 Plus and TI 82 Sequence Variables 201 Sequences and Window Variables 201 Keystroke Differences Between TI 83 Plus and TI 82 202 Sequence Keystroke Changes 202 Chapter 7 Tables...

Page 805: ...earing Drawings 217 Clearing Drawings When a Graph Is Displayed 217 Clearing Drawings from the Home Screen or a Program 217 Drawing Line Segments 218 Drawing a Line Segment Directly on a Graph 218 Dra...

Page 806: ...Graph 232 Using Pen to Draw on a Graph 232 Drawing Points on a Graph 233 DRAW POINTS Menu 233 Drawing Points Directly on a Graph with Pt On 233 Erasing Points with Pt Off 234 Changing Points with Pt...

Page 807: ...Mode 248 Horiz Horizontal Split Screen 250 Horiz Mode 250 Moving from Half to Half in Horiz Mode 251 Full Screens in Horiz Mode 251 G T Graph Table Split Screen 252 G T Mode 252 Moving from Half to H...

Page 808: ...Matrix 261 Viewing a Matrix 261 Viewing Context Keys 262 Editing a Matrix Element 262 Editing Context Keys 264 Using Matrices with Expressions 265 Using a Matrix in an Expression 265 Entering a Matrix...

Page 809: ...ing Matrix Dimensions with dim 275 Creating a Matrix with dim 276 Redimensioning a Matrix with dim 276 Fill 276 identity 277 randM 277 augment 277 Matr4list 278 List4matr 279 cumSum 279 Row Operations...

Page 810: ...e LIST NAMES Menu 291 Entering a User Created List Name Directly 292 Attaching Formulas to List Names 293 Attaching a Formula to a List Name 293 Attaching a Formula to a List on the Home Screen or in...

Page 811: ...314 Chapter 12 Statistics 315 Getting Started Pendulum Lengths and Periods 315 Setting Up Statistical Analyses 328 Using Lists to Store Data 328 Setting Up a Statistical Analysis 328 Displaying the S...

Page 812: ...t of a Formula Generated List 341 Switching Stat List Editor Contexts 342 Stat List Editor Contexts 342 Stat List Editor Contexts 344 View Elements Context 344 Edit Elements Context 344 View Names Con...

Page 813: ...nReg a b ln x 360 ExpReg abx 361 PwrReg axb 361 Logistic c 1 a eLbx 361 SinReg a sin bx c d 362 SinReg Example Daylight Hours in Alaska for One Year 363 Statistical Variables 365 Q1 and Q3 366 Statist...

Page 814: ...f a Population 381 Height in centimeters of Each of 10 Women 381 Inferential Stat Editors 388 Displaying the Inferential Stat Editors 388 Using an Inferential Stat Editor 388 Selecting Data or Stats 3...

Page 815: ...408 1 PropZInt 410 2 PropZInt 411 c2 Test 412 2 Samp Test 414 LinRegTTest 415 ANOVA 417 Inferential Statistics Input Descriptions 419 Test and Interval Output Variables 422 Distribution Functions 424...

Page 816: ...ions Menu 438 Steps for Running the Finance Application 439 Getting Started Financing a Car 440 Getting Started Computing Compound Interest 442 Using the TVM Solver 444 Using the TVM Solver 444 Using...

Page 817: ...Balance 456 Calculating Interest Conversion 459 Calculating an Interest Conversion 459 4Nom 459 4Eff 459 Finding Days between Dates Defining Payment Method 460 dbd 460 Defining the Payment Method 461...

Page 818: ...ents and Results 471 DATA LOGGER 473 SAMPLES 475 INTRVL SEC 475 UNITS 475 PLOT 476 Ymin and Ymax 476 DIRECTNS Directions 476 Data Collection Results 477 RANGER 478 Starting Data Collection 479 Collect...

Page 819: ...on 490 Selecting a String Function from the CATALOG 490 Equ4String 491 expr 491 inString 492 length 492 String4Equ 493 sub 493 Entering a Function to Graph during Program Execution 494 Hyperbolic Func...

Page 820: ...ting Command Lines 508 Copying and Renaming Programs 509 Copying and Renaming a Program 509 Scrolling the PRGM EXEC and PRGM EDIT Menus 510 PRGM CTL Control Instructions 511 PRGM CTL Menu 511 Controll...

Page 821: ...raph 530 DispTable 530 Output 530 getKey 531 TI 83 Plus Key Code Diagram 532 ClrHome ClrTable 532 GetCalc 533 Get Send 533 Calling Other Programs as Subroutines 535 Calling a Program from Another Prog...

Page 822: ...ocedure 561 Graphing Piecewise Functions 564 Problem 564 Procedure 564 Graphing Inequalities 566 Problem 566 Procedure 566 Solving a System of Nonlinear Equations 568 Problem 568 Procedure 568 Using a...

Page 823: ...Problem 1 584 Procedure 1 584 Problem 2 586 Procedure 2 586 Computing Areas of Regular N Sided Polygons 588 Problem 588 Procedure 588 Computing and Graphing Mortgage Payments 592 Problem 592 Procedur...

Page 824: ...and Ungrouping Variables 616 Grouping Variables 616 Ungrouping Variables 619 DuplicateName Menu 619 Garbage Collection 622 Garbage Collection Message 622 Responding to the Garbage Collection Message 6...

Page 825: ...ission 637 Sending to a TI 83 Plus Silver Edition or TI 83 Plus 638 Sending to a TI 83 640 Sending Lists to a TI 82 641 Sending to a TI 73 642 Receiving Items 644 LINK RECEIVE Menu 644 Receiving Unit...

Page 826: ...bles 719 Statistics Formulas 721 Logistic 721 SinReg 722 ANOVA 722 2 Samp Test 724 2 SampTTest 726 Financial Formulas 728 Time Value of Money 728 Amortization 731 Cash Flow 732 Interest Rate Conversio...

Page 827: ...cy Information 754 Computational Accuracy 754 Function Limits 756 Function Results 757 Support and Service Information 758 Product Support 758 Product Service 759 Warranty Information 760 Customers in...

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