G  Notes for the TI83, 83+, 84, 84+ Calculators
G  Notes for the TI83, 83+, 84, 84+ Calculators
Quick Tips
Legend
 represents a button press
[ ]
represents yellow command or green letter behind a key>
represents items on the screen
To adjust the contrast
Press , then hold to increase the contrast or to decrease the contrast.To capitalize letters and words
Press to get one capital letter, or press , then to set all button presses to capital letters. You can return to the toplevel button values by pressing again.To correct a mistake
If you hit a wrong button, press and start again.To write in scientific notation
Numbers in scientific notation are expressed on the TI83, 83+, 84, and 84+ using E notation, such that... 4.321 E 4 = $\text{4}\text{.321}\times {\text{10}}^{4}$
 4.321 E –4 = $\text{4}\text{.321}\times {\text{10}}^{\mathrm{\u20134}}$
To transfer programs or equations from one calculator to another
Both calculators: Insert your respective end of the link cable cable and press , then[LINK]
.
Calculator receiving information
 Use the arrows to navigate to and select
.  Press .
Calculator sending information
 Press the appropriate number or letter.
 Use the up and down arrows to access the appropriate item.
 Press to select the item to transfer.
 Press the right arrow to navigate to and select
.  Press .
Note
ERROR 35 LINK generally means that the cables have not been inserted far enough.
Both calculators—Insert your respective end of the link cable, press
, then[QUIT]
to exit when done.Manipulating OneVariable Statistics
Note
These directions are for entering data using the builtin statistical program.
Data  Frequency 

–2  10 
–1  3 
0  4 
1  5 
3  8 
To begin

Turn on the calculator.

Access statistics mode.

Select
4:ClrList>
to clear data from lists, if desired., then . Enter the list
[L1]
to be cleared.,[L1]
, .Display the last instruction.
,[ENTRY]
.Continue clearing any remaining lists in the same fashion, if desired.
, ,[L2]
,Access statistics mode.
Select
1:Edit . . .>
.Enter data. Data values go into
[L1]
. (You may need to arrow over to[L1]
).Type in a data value and enter it. For negative numbers, use the negate – key at the bottom of the keypad.
, , . Continue in the same manner until all data values are entered.
In
[L2]
, enter the frequencies for each data value in[L1]
.Type in a frequency and enter it. If a data value appears only once, the frequency is 1.
, . Continue in the same manner until all data values are entered.
Access statistics mode.
 Navigate to
. Access
1:1var Stats>
.Indicate that the data is in
[L1]
...,[L1]
, ,...and indicate that the frequencies are in
[L2]
.,[L2]
, . The statistics should be displayed. You may arrow down to get remaining statistics. Repeat as necessary.
Drawing Histograms
Note
We will assume that the data are already entered.
We will construct two histograms with the builtin [STAT PLOT] application. In the first method, we will use the default ZOOM. The second method will involve customizing a new graph.

Access graphing mode.
,[STAT PLOT]
. 
Select
1:plot 1>
to access plotting  first graph. 
Use the arrows to navigate to
to turn on Plot 1.
, .  Use the arrows to go to the histogram picture and select the histogram.
 Use the arrows to navigate to
. 
If [L1] is not selected, select it.
,[L1]
, .  Use the arrows to navigate to
. 
Assign the frequencies to
[L2]
.,[L2]
, . Go back to access other graphs.
,[STAT PLOT]
. Use the arrows to turn off the remaining plots.
 Be sure to deselect or clear all equations before graphing.
To deselect equations
Access the list of equations.
Select each equal sign (=).
. Continue until all equations are deselected.
To clear equations
Access the list of equations.
Use the arrow keys to navigate to the right of each equal sign (=) and clear them.
. Repeat until all equations are deleted.
To draw default histogram
Access the ZOOM menu.
Select
9:ZoomStat>
. The histogram will display with a window automatically set.
To draw a custom histogram
 Access window mode to set the graph parameters.

 ${X}_{\mathrm{min}}=\mathrm{\u20132.5}$
 ${X}_{\mathrm{max}}=3.5$
 ${X}_{scl}=1$ (width of bars)
 ${Y}_{\mathrm{min}}=0$
 ${Y}_{\mathrm{max}}=10$
 ${Y}_{scl}=1$ (spacing of tick marks on yaxis)
 ${X}_{res}=1$
 Access graphing mode to see the histogram.
To draw box plots
Access graphing mode.
,[STAT PLOT]
.Select
1:Plot 1>
to access the first graph.Use the arrows to select
and turn on Plot 1.Use the arrows to select the box plot picture and enable it.
 Use the arrows to navigate to
. If [L1] is not selected, select it.
,[L1]
, . Use the arrows to navigate to
. Indicate that the frequencies are in
[L2]
.,[L2]
, .Go back to access other graphs.
,[STAT PLOT]
. Be sure to deselect or clear all equations before graphing using the method mentioned above.
View the box plot.
,[STAT PLOT]
.
Linear Regression
Sample Data
The following data are real. The percent of declared ethnic minority students at De Anza College for selected years from 1970–1995 is indicated in the following table:
Year  Student Ethnic Minority Percentage 

1970  14.13% 
1973  12.27% 
1976  14.08% 
1979  18.16% 
1982  27.64% 
1983  28.72% 
1986  31.86% 
1989  33.14% 
1992  45.37% 
1995  53.1% 
Note
The TI83 has a builtin linear regression feature, which allows the data to be edited. The xvalues will be in [L1]
; the yvalues in [L2]
.
To enter data and perform linear regression
ON Turns calculator on.
 Before accessing this program, be sure to turn off all plots.
Access graphing mode.
,[STAT PLOT]
.Turn off all plots.
, .
 Round to three decimal places.
Access the mode menu.
,[STAT PLOT]
.
Navigate to
and then to the right until you reach3>
.. 
All numbers will be rounded to three decimal places until changed.

Enter statistics mode and clear lists
[L1]
and[L2]
, as described previously., . 
Enter editing mode to insert values for x and y.
, .  Enter each value. Press to continue.
To display the correlation coefficient
Access the catalog.
,[CATALOG]
.Arrow down and select
.... , , . $r$ and ${r}^{2}$ will be displayed during regression calculations.
Access linear regression.
.
Select the form of y = a + bx.
, .
LinReg
 y = a + bx
 a = –3176.909
 b = 1.617
 r^{2} = 0.924
 r = 0.961
 y = –3176.909 + 1.617x
 % = –3176.909 + 1.617 (year #)
The correlation coefficient is r = 0.961.
To see the scatter plot

Access graphing mode.
,[STAT PLOT]
. 
Select
1:Plot 1>
To access plotting  first graph. 
Navigate and select
to turn on1:Plot 1>
.
.  Navigate to the first picture.

Select the scatter plot.
 Navigate to
. 
If
[L1]
is not selected, press , then[L1]
to select it. 
Confirm that the data values are in
[L1]
.
, .  Navigate to
. 
Select that the frequencies are in
[L2]
.,[L2]
, 
Go back to access other graphs.
,[STAT PLOT]
 Use the arrows to turn off the remaining plots.
 Access window mode to set the graph parameters.
 ${X}_{\mathrm{min}}=1970$
 ${X}_{\mathrm{max}}=2000$
 ${X}_{scl}=10$ (spacing of tick marks on xaxis)
 ${Y}_{\mathrm{min}}=0.05$
 ${Y}_{\mathrm{max}}=60$
 ${Y}_{scl}=10$ (spacing of tick marks on yaxis)
 ${X}_{res}=1$
 Be sure to deselect or clear all equations before graphing, using the instructions above.
 Press the graph button to see the scatter plot.
To see the regression graph

Access the equation menu. The regression equation will be put into Y1.

Access the vars menu and navigate to
5: Statistics>
., .  Navigate to
. 
1: RegEQ>
contains the regression equation which will be entered in Y1.  Press the graphing mode button. The regression line will be superimposed over the scatter plot.
To see the residuals and use them to calculate the critical point for an outlier

Access the list.
will be an item on the menu. Navigate to it. ,[LIST]
, then
. 
Press enter twice to view the list of residuals. Use the arrows to select them.
, .  The critical point for an outlier is
$1.9V\frac{\mathrm{SSE}}{n2}$, where
 $n$ = number of pairs of data
 $\mathrm{SSE}$ = sum of the squared errors
 $\sum _{}^{}{\mathrm{residual}}^{2}$

Store the residuals in
[L3]
., ,[L3]
, . 
Calculate the $\frac{{\mathrm{(residual)}}^{2}}{n2}$. Note that $n2=8$ .
,[L3]
, , , then . 
Store this value in
[L4]
., ,[L4]
, . 
Calculate the critical value using the equation above.
, , , , ,[V]
, ,[LIST]
, , , ,[L4]
, , , then .  Verify that the calculator displays 7.642669563. This is the critical value.
 Compare the absolute value of each residual value in
[L3]
to 7.64. If the absolute value is greater than 7.64, then the (x, y) corresponding point is an outlier. In this case, none of the points is an outlier.
To obtain estimates of y for various xvalues
There are various ways to determine estimates for "y." One way is to substitute values for "x" in the equation. Another way is to use the on the graph of the regression line.TI83, 83+, 84, 84+ instructions for distributions and tests
Distributions
Access DISTR
for Distributions.
For technical assistance, visit the Texas Instruments website at http://www.ti.com and enter your calculator model into the search box.
Binomial Distribution
binompdf(n,p,x)
corresponds to P(X = x)binomcdf(n,p,x)
corresponds to P(X ≤ x) To see a list of all probabilities for x: 0, 1, . . . , n, leave off the "
x
" parameter.
Poisson Distribution
poissonpdf(λ,x)
corresponds to P(X = x)poissoncdf(λ,x)
corresponds to P(X ≤ x)
Continuous Distributions (general)
 $\infty $ uses the value –1EE99 for left bound
 $\infty $ uses the value 1EE99 for right bound
Normal Distribution
normalpdf(x,μ,σ)
yields a probability density function value, only useful to plot the normal curve, in which case "x
" is the variablenormalcdf(left bound, right bound, μ, σ)
corresponds to P(left bound X right bound)normalcdf(left bound, right bound)
corresponds to P(left bound Z right bound) – standard normalinvNorm(p,μ,σ)
yields the critical value, k: P(X k) = pinvNorm(p)
yields the critical value, k: P(Z k) = p for the standard normal
Student's tDistribution
tpdf(x,df)
yields the probability density function value, only useful to plot the studentt curve, in which case "x
" is the variable)tcdf(left bound, right bound, df)
corresponds to P(left bound t right bound)
Chisquare Distribution
Χ^{2}pdf(x,df)
yields the probability density function value, only useful to plot the chi^{2} curve, in which case "x
" is the variableΧ^{2}cdf(left bound, right bound, df)
corresponds to P(left bound Χ^{2} right bound)
F Distribution
Fpdf(x,dfnum,dfdenom)
yields the probability density function value, only useful to plot the F curve, in which case "x
" is the variableFcdf(left bound,right bound,dfnum,dfdenom)
corresponds to P(left bound F right bound)
Tests and Confidence Intervals
Access STAT
and TESTS
.
For the confidence intervals and hypothesis tests, you may enter the data into the appropriate lists and press DATA
to have the calculator find the sample means and standard deviations. Or, you may enter the sample means and sample standard deviations directly by pressing STAT
once in the appropriate tests.
Confidence Intervals
ZInterval
is the confidence interval for mean when σ is known.TInterval
is the confidence interval for mean when σ is unknown; s estimates σ.1PropZInt
is the confidence interval for proportion.
Note
The confidence levels should be given as percents (e.g., enter "95
" or ".95
" for a 95 percent confidence level).
Hypothesis Tests
ZTest
is the hypothesis test for single mean when σ is known.TTest
is the hypothesis test for single mean when σ is unknown; s estimates σ.2SampZTest
is the hypothesis test for two independent means when both σs are known.2SampTTest
is the hypothesis test for two independent means when both σs are unknown.1PropZTest
is the hypothesis test for a single proportion.2PropZTest
is the hypothesis test for two proportions.Χ^{2}Test
is the hypothesis test for independence.Χ^{2}GOFTest
is the hypothesis test for goodnessoffit (TI84+ only).LinRegTTEST
is the hypothesis test for Linear Regression (TI84+ only).
Note
Input the null hypothesis value in the row below "Inpt
." For a test of a single mean, "μ∅
" represents the null hypothesis. For a test of a single proportion, "p∅
" represents the null hypothesis. Enter the alternate hypothesis on the bottom row.