Table Of ContentBarCharts, Inc.® WORLD’S #1 ACADEMIC OUTLINE
Overview of Keys
aligning the + side of the battery with the + in the diagram, and replace
the cover.
• To replace the lithium battery, remove the screw from the lithium
battery cover and install the battery with the + side facing up. Replace
the cover by screwing it back in place.
• It is not recommended to replace both the AAA batteries and lithium
battery at the same time.
The functions in yellow Setting Modes
become active when the y Mode settings interpret how the TI-83 Plus displays and interprets numbers
key is pressed. and graphs. To change modes, press z, then use the arrow keys (},
For example, to access the †, |, ~) and press Í when the desired setting is highlighted.
Graphing & list menu, press y …. • Numeric notation: “Normal” displays numerical expressions in
Table Keys In this guide, this selection standard form. “Sci” displays numerical expressions in scientific
may be denoted as y 9. notation, using an “E” to display the power of 10. “Eng” displays
numerical expressions in engineering notation, which is similar to
scientific notation but allows one, two, or three digits before the
Editing Keys
decimal point.
The alpha characters in green
become active when the ƒ • Number of decimal places: “Float” displays up to 10 digits after a
Function Keys decimal point (up to when the decimal terminates). The numbers 0
key is pressed.
through 9 display that particular number of digits to the right of the
For example, to access the
character “V,” press ƒ ¸. decimal (and include trailing zeros). This applies to answers displayed
on the home screen, coordinates on a graph, coefficients in regression
equations, and calculated results under various other menus.
Scientific • Unit of angle measure: “Radian” interprets angle values as radians,
Calculator and “Degree” interprets angle values as degrees. This is used primarily
Keys when calculating with trigonometric functions and polar and rectangular
coordinates.
• Type of graphing: “Func” is used when graphing functions where Y is a
function of X. “Par” is used when graphing parametric functions where
X and Y are functions of T. “Pol” is used when graphing functions
where r is a function of θ. “Seq” is used when graphing sequences.
• Graph point display: “Connected” draws a line that connects each
point calculated for each function. “Dot” plots each point calculated for
General Info & Basics each function.
Turning On/Off • Graph order: “Sequential” draws one function completely before any
• To turn on the calculator, press É. other function is drawn. “Simul” draws values for all functions for a
• To turn off the calculator, press y M. single value of X and then draws values for all functions for the next
• If the calculator is on but not used for about five minutes, it will automatically be powered down. value of X, etc.
Pressing É will turn the calculator on, and the screen will return exactly as it was before it was • Complex number activation: “Real” does not display complex
powered down. numbers unless complex numbers are entered. “a+bi” and “re^θi”
• Turning the calculator off by pressing y M clears any errors but does not clear settings and display complex numbers in the corresponding form.
memory contents. • Screen display: “Full” uses the entire screen as a display. “Horiz”
displays graphs on the top of the screen and the home screen or other
Adjusting Contrast
editor on the bottom half of the screen. “G-T” displays graphs on the
• The TI-83 Plus has 40 contrast settings. To change contrast, press y and hold down or tap } or
left half of the screen and the corresponding table on the right half of
†. As you change the contrast, a number from 0 through 9 appears in the top-right corner; each
the screen.
number corresponds to four settings.
Display Cursors
Choosing Commands
There are a variety of cursors that appear on the TI-83 Plus screen. How
• Many of the more advanced calculations that are used with the TI-83 Plus are located in various
the cursor appears affects how the calculator interprets the next key
menus.
pressed.
• To access a menu, select it with the associated function key and then navigate through the menu
• Entry cursor ($): This is the default cursor. When this cursor is
using the arrows.
displayed, any existing character is overwritten.
• Many menus have submenus. To access a particular submenu, use the left and right arrows (|, ~).
• Insert cursor (__): This is accessed by pressing y 6. When this
• To select a command from a menu, enter the number of the command or navigate using the
cursor is displayed, a character is inserted at the cursor location.
arrows and press Í.
• Second cursor (Þ): This is accessed by pressing y. When this cursor
• You can also choose commands and operations using the calculator’s catalog. Obtain the catalog
by pressing y N. is displayed, the functions listed in yellow on the keyboard are activated
when pressed.
Replacing Batteries • Alpha cursor (Ø): This is accessed by pressing ƒ. When this
• The calculator uses four AAA batteries and one lithium battery. When the batteries in the cursor is displayed, the characters listed in green on the keyboard are
calculator need to be replaced, a message displays on the screen: “Your batteries are low. activated when pressed. NOTE: This cursor also activates the solve
Recommend change of batteries.” This message may last up to 1–2 weeks, depending on the command when Í is pressed. The alpha cursor may be locked by
brand of batteries used. The calculator may not be able to download applications when the pressing y 7.
batteries are below a usable level. • Full cursor (#): This indicates that the maximum characters have been
• To replace the AAA batteries, turn off the calculator, push downward on the battery cover latch entered or that the memory is full.
on the back of the calculator, and pull the cover toward you. Remove old batteries and dispose of NOTE: Other cursors may be displayed in graphing menus and other
them properly. Install new batteries according to the polarity diagram in the battery compartment, applications.
1
General Info & Basics (continued)
Stored Values - To recall this information or to use it in a • Last answer: The most recent answer to any calculation
There are several ways to store information. Names calculation, enter the variable name in the can be accessed by pressing y Z. This is useful
and variables are assigned to store information in the expression. The vars menu can be accessed by when solving multistep problems. NOTE: It may also be
calculator’s memory. You can store information as pressing �. This menu is used to determine beneficial to store an answer as a variable for later use.
variables, matrices, lists, strings, system variables, and current values of stored information.
functions. You can store graph databases and pictures • Last entry: To recall the last entry made in the Finding Memory Used
in the draw sto menu. You can store programs that will calculator, press y [. You can edit this To access the memory data information, press y L.
execute various commands in the prgm menu. entry using the various types of cursors and then On this menu, press Á to see how much memory is
• Variables: Enter the value or expression to be stored. press Í to perform the calculation. This is available. You can clear variable values, clear lists and
Press ¿. Press ƒ followed by the letter of the especially useful when solving problems using matrices, or delete programs or applications to gain
desired variable. Press Í. trial and error. access to more memory.
Basic Calculations
Basic Operations (Addition, Exponential & Logarithmic Operations
NOTE: When entering fractions, you should use parentheses.
Subtraction, Multiplication & Division) Exponential and logarithmic calculations can be performed
The answer will generate as a decimal, but you can then
The basic operations can be performed with real with real or complex numbers, lists, and expressions.
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lists are used, they must be the same size. (3/4)-1 the calculation. NOTE: Logarithms are found with
• To perform a basic calculation, enter the first value, 1.333333333 base 10.
the operation, and the second value, and then press Ans►Frac • To find the value of a power of 10, press y G,
Í to perform the calculation. 4/3 enter the value of the exponent, and then press Í
to perform the calculation.
Exponents & Roots
Trigonometric Operations • To find the natural logarithm of an expression, press
Exponent and root calculations can be performed with Trigonometric calculations can be performed with real numbers, µ, enter the value, and then press Í to perform
real numbers, complex numbers, lists, matrices (with
lists, and expressions. It is important that the mode setting of the calculation.
the exception of square roots), and expressions. radian or degree matches the type of data being entered. • To find the value of a power of e, press y J, enter
• To find the value of an expression that includes • To find sine, cosine, or tangent values, enter the corresponding the value of the exponent, and then press Í to
an exponent, enter the first value, press ›, enter key (˜, ™, or š), followed by the value, and then perform the calculation.
the exponent, and then press Í to perform the press Í to perform the calculation.
calculation. NOTE: When the exponent is 2, the Scientific Notation
• To use the inverse trigonometric functions arcsine, arccosine,
¡ button may be used as a shortcut. or arctangent, enter the corresponding key (y ?, y Enter numbers in scientific notation just as you would
• To find the square root of an expression, press @, or y A), followed by the value, and then press any other values. It may be beneficial to surround each
y C, enter the value, and then press Í to Í to perform the calculation. number with parentheses to avoid errors. EX: When
perform the calculation. Keystrokes for roots other adding 3.4 × 104 and 5.2 × 107, the screen would look
than square roots are described in The math Menu sin-1(.5) like this:
30
section of this guide.
• To find the reciprocal of a real number, complex EX: The screen above shows how to find the measure of an (3.4*10^(4))+(5.2
number, list, or matrix, enter the value, press œ, angle with sin 0.5. NOTE: The mode of the calculator is in * 10^(7))52034000
and then press Í to perform the calculation. degrees.
The MATH Menu
The math menu is used for converting
Displaying Results as Decimals Finding the Maximum of a Function
fractions to decimals and vice versa,
calculating with powers and roots, finding • To display calculated results as decimals, use the • To find the local maximum value of an expression with respect to a variable
minimums and maximums of functions, and ►Dec command from the math menu. between two bounds, press � ¬, enter the expression, press ¢, enter
finding numerical derivatives and integrals. Cube Function the variable, press ¢, enter the lower bound, press ¢, enter the upper
bound, press ¤, and then press Í to perform the calculation. NOTE:
There is also an equation solver that can be • To raise a value to the third power, enter the
The value returned is an approximation only.
used to find unknown values. value, press � Â, and then press Í to
You can access any of the commands from perform the calculation. Numerical Derivative Function
the math menu by pressing � and • To find the numerical derivative value at a point on a function, press �
Cube Root Function
entering the number corresponding to the , enter the expression, press ¢, enter the variable, press ¢, enter the point
• To find the cube root of a value, press � ¶,
command or by using the arrows to navigate at which to find the derivative, press ¤, and then press Í to perform
to the command and then pressing Í. enter the value, and then press Í to perform the calculation. The calculator finds the slope of the line through points
the calculation.
0.001 to the right and 0.001 to the left of the point indicated. This tolerance
MATH
xth Root Function default value may be changed when entered after the point at which to find
1: ►Frac • To find the xth root of a value, enter the index of the derivative. NOTE: The value returned is an approximation only.
2: ►Dec the root, press � ·, enter the value, and then EX: This screen shows that
3: 3 press Í to perform the calculation. the slope of the line that nDeriv(X2,X,2)
4: 3√( 4
5: x√ Finding the Minimum of a Function intersects y = x2 at x = 2 is 4.
6: fMin( • To find the local minimum value of an expression Numerical Integration Function
7: fMax( with respect to a variable between two bounds, • To find the numerical integration value at a point on a function, press �
8: nDeriv( press � ¸, enter the expression, press ¢, ®, enter the expression, press ¢, enter the variable, press ¢, enter the
9: fnInt( enter the variable, press ¢, enter the lower bound, lower limit, press ¢, enter the upper limit, press ¤, and then press Í
0: Solver...
press ¢, enter the upper bound, press ¤, and to perform the calculation. The tolerance default value of 0.00001 may be
then press Í to perform the calculation. A changed when entered after the upper limit. NOTE: The value returned is
Displaying Results as Fractions
tolerance value may also be entered after the an approximation only.
• To display calculated results as fractions,
upper bound. NOTE: The value returned is an
enter any fractions as division statements, Equation Solver
approximation only. In the example below, the
then use the ►Frac command from the • To solve an equation, first manually solve the equation so that one
actual relative minimum occurs at 0. Also note that
math menu. it is the x-value of the function that is returned and side equals zero. Press � Ê, and enter the nonzero side of the
3 1 equation. If the equation has multiple variables, enter the known values
EX: When adding and , the screen not the actual minimum y-value of the function.
4 8 of those variables next to their location on the screen. When all known
would look like this:
fMin(X2, X, -5,5,. values have been entered, place the cursor next to the variable being
3/4+1/8►Frac 1) solved for and press ƒ \. A solid square will appear to the left
7/8 .0155281001 of the variable, indicating that it has been solved for and the value of the
variable will be shown.
2
The MATH NUM Menu
The math num menu is used for finding absolute Show Integer Part Function Maximum Function
value, rounding values, returning parts of • To show the integer part of a real or complex number, • To find the maximum value between two real numbers, two
decimal or fractional expressions, returning expression, list, or matrix, press � ~ Â, enter complex numbers, or two expressions, press � ~ ¬, enter
minimums or maximums between two values, the value, press ¤, and press Í to perform the the first value, press ¢, enter the second value, press ¤, and
and generating least common multiples and calculation. then press Í to perform the calculation.
greatest common denominators. • To find the maximum value in a list, press � ~ ¬, enter
Show Fractional Part Function
the list name, press ¤, and then press Í to perform the
NUM • To show the fractional part of a real or complex number,
calculation.
1: abs( expression, list, or matrix, press � ~ ¶, enter
• To generate a list of maximum values from two lists, press �
2: round( the value, press ¤, and press Í to perform the
~ ¬, enter the first list name, press ¢, enter the second list name,
3: iPart( calculation.
press ¤, and then press Í to perform the calculation.
4: fPart(
Greatest Integer Function
5: int( Least Common Multiple Function
6: min( • To find the greatest integer value of a real or complex • To find the least common multiple of two nonnegative integers,
7: max( number, expression, list, or matrix, press � ~ ·, press � ~ , enter the first value, press ¢, enter the second
8: lcm( enter the value, press ¤, and press Í to perform the value, press ¤, and then press Í to perform the calculation.
9: gcd( calculation. • To generate a list of least common multiples from two lists,
Minimum Function press � ~ , enter the first list name, press ¢, enter the
Absolute Value Function • To find the minimum value between two real numbers, two second list name, press ¤, and then press Í to perform
• To find the absolute value of a real or complex numbers, or two expressions, press � ~ ¸, the calculation.
complex number, expression, list, or matrix, enter the first value, press ¢, enter the second value, press Greatest Common Divisor Function
press � ~ À, enter the value, press ¤, ¤, and then press Í to perform the calculation.
• To find the greatest common divisor of two nonnegative
and press Í to perform the calculation. • To find the minimum value in a list, press � ~ ¸, integers, press � ~ ®, enter the first value, press ¢, enter
Rounding Function enter the list name, press ¤, and then press Í to the second value, press ¤, and then press Í to perform
• To round a real or complex number, perform the calculation. the calculation.
expression, list, or matrix, press � ~ Á, • To generate a list of minimum values from two lists, • To generate a list of greatest common divisors from two lists,
enter the value, press ¢, enter the number of press � ~ ¸, enter the first list name, press ¢, enter press � ~ ®, enter the first list name, press ¢, enter the
decimal places to display, press ¤, and then the second list name, press ¤, and then press Í to second list name, press ¤, and then press Í to perform
press Í to perform the calculation. perform the calculation. the calculation.
The MATH CPX Menu
The math cpx menu is used with complex Magnitude Function
NOTE: It is important that the mode setting of complex numbers matches the
numbers. • To find the magnitude of a complex
type of data being entered.
number or list of complex numbers,
CPX Show Real Part Function press � ~ ~ ·, enter the value,
1: conj( • To show the real part of a complex number or list of complex numbers, press � press ¤, and press Í to perform
2: real(
3: imag( ~ ~ Á, enter the value, press ¤, and press Í to perform the calculation. the calculation.
4: angle( Show Imaginary Part Function Displaying Results in
5: abs( Rectangular Form
• To show the imaginary part of a complex number or list of complex numbers,
6: ►Rect press � ~ ~ Â, enter the value, press ¤, and press Í to perform the • To display calculated results in
7: ►Polar rectangular form, use the ►Rect
calculation.
command from the math cpx menu.
Conjugate Function Polar Angle Function
Displaying Results in Polar
b
• To generate the conjugate of a complex • To find the polar angle, calculated as the inverse tangent of a, of a complex Form
number or list of complex numbers, press number or list of complex numbers, press � ~ ~ ¶, enter the value, press • To display calculated results in polar
� ~ ~ À, enter the value, press ¤, ¤, and press Í to perform the calculation. NOTE: It can be adjusted by +π form, use the ►Polar command from
and press Í to perform the calculation. in the second quadrant or –π in the third quadrant. the math cpx menu.
The MATH PRB Menu The TEST Menu
The math prb menu has a variety of Permutation Function Random Normal Function The test menu is used when results of a
functions used in conjunction with • To find the number of permutations of items taken • To generate a series of random logical statement must be evaluated. A
probability calculations. several at a time, or a list of these values, enter the numbers from a normal result of 0 or 1 is returned depending on the
number of items, press � ~ ~ ~ Á, enter distribution, press � ~ outcome of the test.
PRB
the number taken at a time, and press Í to ~ ~ ¸, enter the mean of
1: rand TEST LOGIC
perform the calculation. the distribution, press ¢,
2: nPr 1: = 1: and
enter the number of standard
3: nCr Combination Function 2: ≠ 2: or
deviations away from the mean,
4: ! • To find the number of combinations of items taken 3: > 3: xor
5: randInt( several at a time, or a list of these values, enter the press ¢, enter the number of 4: ≥ 4: not(
values to generate, press ¤,
6: randNorm( number of items, press � ~ ~ ~ Â, enter 5: <
7: randBin( the number taken at a time, and press Í to and press Í to perform the 6: ≤
calculation.
perform the calculation.
Random Number Function Random Binomial Relational Operators
Factorial Function
• To generate a series of random Function When comparing two expressions on either
• To find the factorial of an integer or a multiple of
numbers between 0 and 1, 0.5, or a list of these values, enter the value, press • To generate a series of random side of a relational operator in the test
press � ~ ~ ~ À, numbers from a binomial menu, the calculator compares values and
� ~ ~ ~ ¶, and press Í to perform the
press £, enter an integral distribution, press � ~ ~ then returns the value 1 if the statement is
calculation.
number of trials, press ¤, ~ ¬, enter the number of trials true or 0 if the statement is false.
and press Í to perform the Random Integer Function from the distribution, press ¢, EX: The screen below shows a statement
calculation. NOTE: To generate • To generate a series of random integers between enter the probability of success that is false. Therefore, the calculator
numbers between other values, two values, press � ~ ~ ~ ·, enter the lower (between 0 and 1), press ¢, enter returned a value of 0.
use basic calculations such as bound, press ¢, enter the upper bound, press ¢, the number of values to generate,
multiplication or addition to enter the number of integers to generate, press ¤, press ¤, and press Í to 1+3>7
manipulate the generated values. and press Í to perform the calculation. perform the calculation. 0
3
The TEST Menu (continued)
Boolean Operators The ANGLE Menu The DRAW Menu
Boolean operators work similarly to relational
Under the angle menu, there ANGLE Under the draw menu, you DRAW
operators and are found under the test logic are symbols for degrees, can draw line segments,
1: ° 1: ClrDraw
menu. The calculator compares truth values minutes, and seconds that are horizontal or vertical lines,
2: ‘ 2: Line(
and then returns the value 1 if the logical used when the calculator is in 3: r tangent lines, functions, 3: Horizontal
statement is true or 0 if the logical statement radian mode, but measures need 4: ►DMS inverses of functions, and 4: Vertical
is false. EX: The screen below shows a to be interpreted in degrees. 5: R►Pr( circles. You can shade regions 5: Tangent(
logical statement that is true. Therefore, the You can also use this menu to 6: R►Pθ( between two functions, add 6: DrawF
calculator returned a value of 1. convert measures from radians 7: P►Rx( text to a drawing, and use a 7: Shade(
to degrees. It also has various 8: P►Ry( pen tool to modify drawings 8: DrawInv
conversions between rectangular or functions. These drawings 9: Circle(
(1+1=5) or (2+2=
and polar coordinates and can can be stored in memory 0: Text(
4)
return a specific rectangular or as pictures or as graph A: Pen
1
polar coordinate value. databases for later use.
The MATRIX Menu
Cumulative Sum Function
Before using a matrix in a calculation, first set NAMES • To generate the cumulative sums of values in a list, press y 9 ~ ¸, enter the
its size under the edit submenu in the matrix 1: [A] 1x1 list name, press ¤, and press Í to perform the calculation.
menu. The first value is the number of rows, and
2: [B]
Consecutive Differences Function
the second value is the number of columns. Once 3: [C] • To generate the consecutive differences of values in a list, press y 9 ~ ¬, enter
that is done, the elements in the matrix can be 4: [D] the list name, press ¤, and press Í to perform the calculation.
entered. Once values are entered, matrices may be 5: [E]
used in calculations or expressions. NOTE: When 6: [F] Select a Point Function
multiplying two matrices, the column dimension 7: [G] • To select a specific data point from a list or scatter plot, press y 9 ~ , enter
of the first matrix must be the same as the row 8: [H] the list to which you want to store x-values, press ¢, enter the list to which you want
dimension of the second matrix. The math submenu 9: [I] to store y-values, press ¤, and press Í to open the stat plot viewer. NOTE:
in the matrix menu offers a variety of calculations 0: [J] When using this function, the stat plots must be turned on and generated. A screen
that can be computed using matrices. will open and a left bound and right bound will be solicited. Values will be stored to
the list names provided when generating the function.
Lists
Augment Function
Lists can hold up to 999 NOTE: You can sort one list and have • To combine two lists into one, press y 9 ~ ®, enter the first list name, press
values. Lists can contain real or it sort the corresponding values in a ¢, enter the second list name, press ¤, and press Í to perform the calculation.
complex numbers, expressions, The second list’s elements will be added to the end of the first list.
second list by using a comma between
or formulas. Besides the preset Other commands in this menu convert lists to matrices and vice versa.
the two lists to sort. EX: To sort L1
list names in the list menu, lists The LIST MATH Menu
and L2 together but by ascending L1
can also be generated from the The list math menu has statistics commands.
home screen by using the ¿ values, enter the commands shown on
button. the screen below. When doing this, L2 MATH
The LIST OPS Menu will not necessarily be in ascending 1: min(
2: max(
The list ops menu has several order because each value in L2 moves 3: mean(
commands. You can access with its corresponding value in L1. 4: median(
any of the commands from 5: sum(
the list menu by pressing y SortA(L1, L2) 6: prod(
9 and entering the number Done 7: stdDev(
corresponding to the command 8: variance(
or by using the arrows to Count Dimension Function
navigate to the command and • To find the length of a list, press Minimum Function
then pressing Í. y 9 ~ Â, enter the list name, • To generate the least value in a list, press y 9 ~ ~ À, enter the list name, press
OPS press ¤, and press Í to perform ¤, and press Í to perform the calculation.
1: SortA( the calculation. NOTE: You can Maximum Function
2: SortD( redimension a list by entering the • To generate the greatest value in a list, press y 9 ~ ~ Á, enter the list name,
3: dim( press ¤, and press Í to perform the calculation.
desired dimension, pressing ¿,
4: Fill(
and entering the list name. All newly Mean Function
5: seq(
• To find the mean of the values in a list, press y 9 ~ ~ Â, enter the list name,
6: cumSum( added elements are 0.
press ¤, and press Í to perform the calculation.
7: ∆List( Fill Function
8: Select( Median Function
9: augment( • To fill a list with a given value, press • To find the median of the values in a list, press y 9 ~ ~ ¶, enter the list name,
0: List►matr( y 9 ~ ¶, enter the value, press ¤, and press Í to perform the calculation.
A: Matr►list( press ¢, enter the list name, press Sum Function
B: l ¤, and press Í to perform the • To find the sum of the values in a list, press y 9 ~ ~ ·, enter the list name,
calculation. press ¤, and press Í to perform the calculation. Optional start and end element
Sort Ascending Function numbers can be used with this function.
• To arrange a list from least to Sequence Function
Product Function
greatest value, press y 9 • To evaluate each element of a list
• To find the product of the values in a list, press y 9 ~ ~ ¸, enter the list name,
~ À, enter the list name, based on a given expression, press press ¤, and press Í to perform the calculation. Optional start and end element
press ¤, and press Í to
y 9 ~ ·, enter the expression, numbers can be used with this function.
perform the calculation.
press ¢, enter the variable, press
Standard Deviation Function
Sort Descending Function ¢, enter the beginning element, • To find the standard deviation of the values in a list, press y 9 ~ ~ ¬, enter
• To arrange a list from greatest
press ¢, enter the ending element, the list name, press ¤, and press Í to perform the calculation.
to least value, press y 9
~ Á, enter the list name, press ¢, enter the increment, press Variance Function
press ¤, and press Í to ¤, and press Í to perform the • To find the variance of the values in a list, press y 9 ~ ~ , enter the list name,
perform the calculation. calculation. press ¤, and press Í to perform the calculation.
4
The STAT Menu
The stat edit menu allows you to enter and
sort lists. For more details on entering and One-Variable Statistics Function Regression Lines
sorting lists, see Lists, p. 4. • To find the mean, sum, sum of squares, sample variance, • To fit a specific regression model for a set of paired
population variance, number of values, minimum, maximum,
The STAT CALC Menu data, press … ~, then choose the number
and quartile values of a list, press … ~ À, enter the
The stat calc menu can analyze data and corresponding to the desired regression, enter the
list name, and press Í to perform the calculations.
generate lines of regression.
NOTE: Optional frequency list values may be used with this first list name, press ¢, enter the second list name,
CALC function. and press Í to show the coefficients for the
1: 1-Var Stats
Two-Variable Statistics Function regression model. When DiagnosticOn is activated
2: 2-Var Stats
3: Med-Med • To find the mean, sum, sum of squares, sample variance, through the calculator’s catalog, r and r2 values are
population variance, number of values, minimum, maximum,
4: LinReg(ax+b) also displayed for applicable regression models.
and quartile values of two lists, press … ~ Á, enter the
5: QuadReg
6: CubicReg first list name, press ¢, enter the second list name, and The STAT TESTS Menu
7: QuartReg press Í to perform the calculations. NOTE: Optional The stat tests menu offers a variety of statistical tests,
8: LinReg(a+bx) frequency list values may be used with this function. including hypothesis tests, sample tests, proportion
9: LnReg Median-Median Line
tests, and confidence interval computation. Each option
0: ExpReg • To fit a median-median linear model for a set of paired data,
A: PwrReg press … ~ Â, enter the first list name, press ¢, enter the in this menu pulls up a screen in which various options
B: Logistic second list name, and press Í to show the slope value are presented. Once the various inputs are selected, you
C: SinReg
and y-intercept of the line. can calculate or draw the results.
The DISTR Menu
The distr menu calculates various EX: Screen A generates screen B, given the window values shown in screen C. WINDOW
distribution values either at a specific
Xmin=20
value or within a range of values. These C
Xmax=40
distributions can also be graphed by
Xscl=1
inputting the function in the Y= editor. ShadeNorm(28,32, B
A Ymin=-.15
The draw submenu under the distr menu 31.5, 2) Ymax=.5
also allows you to draw distributions and Yscl=1
include shading over a specific range of Xres=1
values.
Graphs & Functions
When graphing functions, it is important that the mode settings The s Button Zbox
match the type of data being input. To graph a function, set the Pressing the s button displays any functions • To define a viewing window using Zbox, press
type of graphing mode of the calculator to Func. that are selected from the Y= editor. You can q À. Move the cursor to a corner of the
zoom in to parts of the graph or change viewing box you want to display. Press Í. Use the
The o Button
windows manually or by using preset values. arrow keys to move the cursor to the opposite
Defining a Function More information about changing how a graph is corner. As you move the cursor, a box will
• To enter a function, use the Y= editor. Press o, use the displayed can be found in The p Button appear. Pressing Í will redraw the graph
arrow keys to navigate to the function to define, and then and The q Button sections of this guide. so that it fits in the box you drew.
enter the function. NOTE: Functions may contain numbers, EX: The graph of y = 0.5x3 + 1 is shown in the Zoom In
variables, operations, matrices, lists, or expressions. ZStandard screen below. • To zoom in to a graph, press q Á. Press
The independent variable in defined functions is X. This Í. The graph will zoom in by a factor of
variable can be entered using the „ button or by XFact and YFact (which are both stored in
pressing ƒ[X]. the memory and can be adjusted in the zoom
Evaluating a Function memory menu).
• To evaluate a function at a given value, first define the Zoom Out
function in the Y= editor. Then from the home screen, press • To zoom out from a graph, press q Â.
� ~ À, and choose the appropriate function. Then enter Press Í. The graph will zoom out by a
the value or values to be evaluated (separated by commas), factor of XFact and YFact (which are both
press ¤, and press Í to perform the calculation(s). The r Button stored in the memory and can be adjusted in the
Selecting or Deselecting a Function Pfurnescstiionng tthhaet ris selec tbeudt tforno mpl athcee sY a= ceudristoorr . oYno ua zoom memory menu).
• To select or deselect a function, press o. Use the arrow can use the left and right arrow keys to move ZDecimal
keys to navigate to the function to select or deselect, press along the graph. Data values are shown at the • Pressing q ¶ reconfigures the viewing
| so that the cursor is on the equals sign, and press Í bottom of the screen. If more than one function window to an Xmin of –4.7, Xmax of 4.7,
to toggle the selection status. is displayed, the up and down arrows move the Ymin of –3.1, Ymax to 3.1, and scales of 1.
Changing the Graph Style for a Function cursor to another function. The current function is This preset also changes ∆X and ∆Y to 0.1.
• To change the graph style for a function, press o. Use the indicated at the upper-left part of the screen. ZSquare
arrow keys to navigate to the function to select or deselect, The q Button • Pressing q · reconfigures the viewing
press | | so that the cursor is on the graph-style icon, Pressing the q button opens the zoom menu. window so that ∆X and ∆Y are the same value.
and press Í to toggle the graph style. You can change ZStandard
the style to a thicker line, shade above or below the graph, ZOOM • Pressing q ¸ reconfigures the viewing
draw a path or animate the graph, or draw the graph in dot 1: ZBox window to an Xmin of –10, Xmax of 10, Ymin
mode. 2: Zoom In of –10, Ymax to 10, scales of 1, and resolution
3: Zoom Out
The p Button 4: ZDecimal to 1.
Pressing the p button displays the currently displayed 5: ZSquare ZTrig
graph window. You can manually change the X-minimum, 6: ZStandard • Pressing q ¬ reconfigures the viewing
X-maximum, X-scale, Y-minimum, Y-maximum, Y-scale, or 7: ZTrig window to an Xmin of –6.152285613 (–47π/24),
resolution values. The resolutions must be between 1 and 8. 8: ZInteger Xmax of 6.152285613 (47π/24), Ymin of –4,
EX: An Xres of 5 evaluates the function for every fifth pixel 9: ZoomStat Ymax to 4, Xscl of 1.5707963267949 (π/2),
along the x-axis. 0: ZoomFit and Yscl of 1.
5
Graphs & Functions (continued)
ZInteger Intersect Operation Graphing Sequences
• Pressing q opens a graph in which • To find the point of intersection at which one To graph a sequence, set the type of graphing mode of the calculator
you move the cursor to the desired center. function intersects another, press y / ·, use to Seq and change the unit of angle measure mode to radian. In the
The viewing window centers at the cursor the arrow keys to select the first function, press Y= editor, enter a starting value for the sequence and the rule. You can
and changes ∆X and ∆Y to 1 and Xscl and Í, use the arrow keys to select the second graph either recursive or nonrecursive sequences. The zoom menu
Yscl to 10. function, press Í, and press Í again to works the same as it does in the function graphing mode. The only
ZoomStat perform the calculation. NOTE: Each function must operation available from the calc menu is the value function.
• Pressing q ® reconfigures the viewing be on the current display to find and display the point EX: The sequence 3 + n with a starting value of 0 is shown
of intersection. below.
window so that all statistical data points are
displayed. Derivative Operation
• To find the numerical derivative of a function at a
ZoomFit
given x-value, press y / ¸, use the arrow
• Pressing q Ê reconfigures the viewing
keys to select the function, press Í, use the
window so that the minimum and maximum
arrow keys to select the value of x at which to find
y-values of selected functions between the
the derivative, and press Í to perform the
current Xmin and Xmax values are displayed.
calculation.
Under this option, Xmin and Xmax do not
change. Integral Function
Changing the Appearance of Graphs
• To find the numerical integral of a function between
The CALCULATE Menu two x-values, press y / ¬, use the arrow keys Press y . to open the menu that allows you to change how
Pressing y / opens the calculate menu. to select the function, press Í, use the arrow a graph appears. You can toggle whether the graph is rectangular or
Under this menu, you can use the graphs drawn keys to select the lower limit, press Í, use the polar, whether the coordinates show, whether there are gridlines on
from the Y= editor to find various values. arrow keys to select the upper limit, and press Í the screen, whether the axes appear, whether the function is labeled,
and whether the expression shows.
CALCULATE to perform the calculation and shade the integrated
1: value area under the curve. Using Tables
2: zero Graphing Parametric Functions Pressing y 0 opens a table on the calculator. For any
3: minimum functions that are actively selected from the Y= editor, values are
To graph a parametric function, set the type of graphing
4: maximum shown. You can use the arrow keys to scroll through values in the
mode of the calculator to Par and change the unit of
5: intersect table. Finding where y-values change signs helps to identify zeros
angle measure mode to radian. You may want to use the
6: dy/dx of functions.
values of T in the window settings to ensure the graph
7: ∫f(x)dx displays properly. The zoom and calc menus work the Formatting Tables
same as they do in the function graphing mode. Pressing y - displays the currently enabled table settings.
Value Operation
EX: The graph of XT = 5cos(T) and YT = 5sin(T) is You can manually change the value at which the table starts and the
• To find the y-value of a function at a given
shown below. increment by which the x-values in the table increase. You can also
x-value, press y / À, enter the value of
identify whether the independent values and dependent values are
x at which to evaluate the function, and press
automatically generated or populated by prompts.
Í to perform the calculation.
Graphing Statistical Plots
Zero Operation
To graph a statistical plot, be sure the correct data is stored in
• To find the zero of a function between two
x-values, press y / Á, enter the left one or more lists. Then press y , and choose the
bound for x, press Í, enter the right bound appropriate settings for the information you want to display. Turn
for x, press Í, and press Í again to the plot on, choose the graph type (see below), identify which lists
to use as the independent and dependent variables, and choose the
perform the calculation. NOTE: The arrow Graphing Polar Functions
type of mark to display.
keys can also be used to indicate the bounds.
To graph a polar function, set the type of graphing • Scatter plot (“"): This shows data as single points on the
Minimum Operation mode of the calculator to Pol and change the unit of graph.
• To find the minimum of a function between angle measure mode to radian. You may want to use the • xyLine (Ó): This shows data as single points connected by a
two x-values, press y / Â, enter the left values of θ in the window settings to ensure the graph line on the graph.
bound for x, press Í, enter the right bound displays properly. The zoom and calc menus work the • Histogram (Ò): This shows one-variable data as a histogram.
for x, press Í, and press Í again to same as they do in the function graphing mode. ZoomStat adjusts settings so that all data is shown in the
perform the calculation. NOTE: The arrow EX: The graph of r = 6sin(4θ) is shown below. window.
keys can also be used to indicate the bounds. • Modified box plot (Õ): This shows one-variable data as a box
Maximum Operation plot but plots outliers (using 1.5 times the interquartile range) as
• To find the maximum of a function between dots outside the whiskers of the box plot.
two x-values, press y / ¶, enter the left • Box plot (Ö): This shows one-variable data as a box plot.
bound for x, press Í, enter the right bound • Normal probability plot (Ô): This shows each observation
for x, press Í, and press Í again to of X and compares it to the value of z in the standard normal
perform the calculation. NOTE: The arrow distribution. If the data is close to a straight line, the data is
keys can also be used to indicate the bounds. approximately normal.
Using Applications Using Programs Using the Link Command
There are a variety of applications that either come with the The TI-83 Plus also allows users to create A special cable can be used to link the calculator to
TI-83 Plus or can be downloaded to it. Many include preset and edit their own programs. This feature is another compatible calculator or to a computer software
formulas that require values to be input. Once values are input, useful when using a recurring formula or other program compatible to the calculator. This allows for
calculations are made. Pressing the Πbutton shows which calculation. Programs are created using various transfer of variable values, applications, and programs;
applications the calculator has available. Some applications, commands (many with if–then statements). it also enables a backup of the entire memory of the
such as the CBL/CBR application, require a handheld device These programs can be stored in memory and calculator. Pressing y 8 opens a menu that
to be plugged into the calculator to collect data. transferred to a computer or another calculator. has the linking options.
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