G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (2024)

Table of Contents

Quick Tips NOTE Manipulating One-Variable Statistics NOTE Drawing Histograms NOTE Linear Regression Sample Data NOTE TI-83, 83+, 84, 84+ instructions for distributions and tests Distributions Tests and Confidence Intervals NOTE NOTE FAQs References

Quick Tips

Legend

represents a button press
[ ] represents yellow command or green letter behind a key
< > represents items on the screen

To adjust the contrastPress , then hold to increase the contrast or to decrease the contrast.

To capitalize letters and wordsPress to get one capital letter, or press , then to set all button presses to capital letters.You can return to the top-level button values by pressing again.

To correct a mistakeIf you hit a wrong button, just hit and start again.

To write in scientific notationNumbers in scientific notation are expressed on the TI-83, 83+, 84, and 84+ using E notation, such that...

4.321 E 4 = $4 .321 \times 10^{4}$
4.321 E –4 = $4 .321 \times 10^{–4}$

To transfer programs or equations from one calculator to another:Both calculators: Insert your respective end of the link cable cableand press , then [LINK].

Calculator receiving information:

Use the arrows to navigate to and select <RECEIVE>
Press .

Calculator sending information:

Press appropriate number or letter.
Use up and down arrows to access the appropriate item.
Press to select item to transfer.
Press right arrow to navigate to and select <TRANSMIT>.
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 cableBoth calculators: press , then [QUIT] to exit when done.

Manipulating One-Variable Statistics

NOTE

These directions are for entering data with the built-in statistical program.

Data	Frequency
–2	10
–1	3
0	4
1	5
3	8

Table G1 Sample Data We are manipulating one-variable statistics.

To begin:

Turn on the calculator.
Access statistics mode.
Select <4:ClrList> to clear data from lists, if desired.
,
Enter list [L1] to be cleared.
, [L1] ,
Display last instruction.
, [ENTRY]
Continue clearing 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.
See Also
TI-83 Plus Graphing Calculator | Texas Instruments TI-84 Plus Graphing Calculator | Texas Instruments TI-83 Plus Graphing Calculator | Texas Instruments TI-83 vs. TI-84 Calculators: Key Differences Explained
Navigate to <CALC>.
Access <1:1-var 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 is already entered.

We will construct two histograms with the built-in STATPLOT application. The first way will use the default ZOOM. The second way will involve customizing a new graph.

Access graphing mode.
, [STAT PLOT]
Select <1:plot 1> to access plotting - first graph.
Use the arrows navigate go to <ON> to turn on Plot 1.
<ON> ,
Use the arrows to go to the histogram picture and select the histogram.
Use the arrows to navigate to <Xlist>.
If "L1" is not selected, select it.
, [L1] ,
Use the arrows to navigate to <Freq>.
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 show with a window automatically set.

To draw custom histogram:

Access window mode to set the graph parameters.
- $X_{\min} = –2.5$
- $X_{\max} = 3.5$
- $X_{s c l} = 1$ (width of bars)
- $Y_{\min} = 0$
- $Y_{\max} = 10$
- $Y_{s c l} = 1$ (spacing of tick marks on y-axis)
- $X_{r e s} = 1$
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 <ON> and turn on Plot 1.
Use the arrows to select the box plot picture and enable it.
Use the arrows to navigate to <Xlist>.
If "L1" is not selected, select it.
, [L1] ,
Use the arrows to navigate to <Freq>.
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]
See Also
TI‑84 Plus Secondary Calculator | Texas Instruments

Linear Regression

Sample Data

The following data is real. The percent of declared ethnic minority students at De Anza College for selected years from 1970–1995 was:

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

Table G2 The independent variable is "Year," while the independent variable is "Student Ethnic Minority Percent."

Figure G1 Student Ethnic Minority Percentage By hand, verify the scatterplot above.

NOTE

The TI-83 has a built-in linear regression feature, which allows the data to be edited.The x-values will be in [L1]; the y-values in [L2].

To enter data and do 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. To do so:
- Access the mode menu.
  , [STAT PLOT]
- Navigate to <Float> and then to the right to <3>.
- All numbers will be rounded to three decimal places until changed.
Enter statistics mode and clear lists [L1] and [L2], as describe 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 <DiagnosticOn>
... , ,
$r$ and $r^{2}$ will be displayed during regression calculations.
Access linear regression.
Select the form of y = a + bx.
,

The display will show:

LinReg

y = a + bx
a = –3176.909
b = 1.617
r = 2 0.924
r = 0.961

This means the Line of Best Fit (Least Squares Line) is:

y = –3176.909 + 1.617x
Percent = –3176.909 + 1.617 (year #)

The correlation coefficient 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 <ON> to turn on Plot 1.
<ON>
Navigate to the first picture.
Select the scatter plot.
Navigate to <Xlist>.
If [L1] is not selected, press , [L1] to select it.
Confirm that the data values are in [L1].
<ON>
Navigate to <Ylist>.
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.
- $X_{\min} = 1970$
- $X_{\max} = 2000$
- $X_{s c l} = 10$ (spacing of tick marks on x-axis)
- $Y_{\min} = - 0.05$
- $Y_{\max} = 60$
- $Y_{s c l} = 10$ (spacing of tick marks on y-axis)
- $X_{r e s} = 1$
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 <EQ>.
<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. RESID will be an item on the menu. Navigate to it.
, [LIST], <RESID>
Confirm twice to view the list of residuals. Use the arrows to select them.
,
The critical point for an outlier is: 1.9VSSEn-21.9VSSEn-2 where:
- $n$ = number of pairs of data
- $SSE$ = sum of the squared errors
- $Σ {residual}^{2}$
Store the residuals in [L3].
, , [L3] ,
Calculate the $\frac{{Σresidual}^{2}}{n - 2}$ . Note that $n - 2 = 8$
, [L3] , , ,
Store this value in [L4].
, , [L4] ,
Calculate the critical value using the equation above.
, , , , , [V] , , [LIST] , , , , [L4] , , ,
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 x-values: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.

TI-83, 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 variable)
normalcdf(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 normal
invNorm(p,μ,σ) yields the critical value, k: P(X < k) = p
invNorm(p) yields the critical value, k: P(Z < k) = p for the standard normal

Student's t-Distribution

tpdf(x,df) yields the probability density function value (only useful to plot the student-t curve, in which case "x" is the variable)
tcdf(left bound, right bound, df) corresponds to P(left bound < t < right bound)

Chi-square Distribution

Χ²pdf(x,df) yields the probability density function value (only useful to plot the chi² curve, in which case "x" is the variable)
Χ²cdf(left bound, right bound, df) corresponds to P(left bound < Χ² < 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 variable)
Fcdf(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.
1-PropZInt is the confidence interval for proportion.

NOTE

The confidence levels should be given as percents (ex. enter "95" or ".95" for a 95% confidence level).

Hypothesis Tests

Z-Test is the hypothesis test for single mean when σ is known.
T-Test is the hypothesis test for single mean when σ is unknown; s estimates σ.
2-SampZTest is the hypothesis test for two independent means when both σ's are known.
2-SampTTest is the hypothesis test for two independent means when both σ's are unknown.
1-PropZTest is the hypothesis test for single proportion.
2-PropZTest is the hypothesis test for two proportions.
Χ²-Test is the hypothesis test for independence.
Χ²GOF-Test is the hypothesis test for goodness-of-fit (TI-84+ only).
LinRegTTEST is the hypothesis test for Linear Regression (TI-84+ 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.

FAQs

How do you write notes on a TI-83 Plus CE? ›

When you use your calculator to do homework or study, open your notes and quickly remind yourself of the information without having to search through a textbook. Turn on the calculator, then press the "Prgm" button on the keypad. Press the right arrow key to select the "New" menu, then press "1" to select "Create New."

Read The Full Story ›

How to use TI-83 Plus for statistics? ›

How do I calculate one-variable statistics on the TI-83 Plus family of graphing calculators?

Press the [STAT] key and select 1:Edit.
Enter in the data one at a time into L1.
Press the [STAT] key, scroll to highlight CALC.
Select 1: 1-Var Stats and press [ENTER].

More items...

Jul 11, 2024

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How do you find the Z score on a TI-83 Plus? ›

Ti-83 plus:

Press “2nd” then press “VARS” on the Ti-83.
You will see “DISTR” which is distribution menu.
Then choose “invNorm (” and press the “ENTER” key.
Input the probability in decimal form and add close parentheses.
Press “ENTER”, the resultant value is the required Z-score.

Get More Info ›

What is a TI-83 Plus calculator used for? ›

The TI-83 Plus is an easy-to-use graphing calculator for math and science that lets students graph and compare functions, as well as perform data plotting and analysis. Its FLASH ROM memory allows students to update and add software applications (Apps).

Show Me More ›

How to get notes on TI-84? ›

How to Put Notes on a TI-84 Plus Calculator

Step 1: Press PRGM. Press the prgm button on your graphing calculator.
Step 2: Create New. ...
Step 3: Create a Name. ...
Step 4: Type Your Notes. ...
Step 5: Exit the Editor Once Complete. ...
Step 6: View Your Notes. ...
Step 7: Helpful Links. ...
1 Comment.

Discover More ›

Can you put formulas in your calculator for the AP exam? ›

Calculators with built-in physical constants, metric conversions, and physics, chemistry, or mathematics formulas are permitted. Calculator memories do not need to be cleared before or after the exam.

Find Out More ›

How to use a TI-84 Plus calculator for statistics? ›

How do I calculate one-variable statistics on the TI-84 Plus family of graphing calculators?

Press [STAT] and select 1:Edit.
Enter in the data one at a time into L1, pressing [ENTER] after each entry.
Press [STAT], scroll to highlight CALC.
Select 1: 1-Var Stats and press [ENTER].

More items...

Jul 11, 2024

How to use a calculator to solve statistics? ›

To calculate statistics, enter data in a list, then go to STAT,CALC,1VarStats. To construct a confidence interval: o If it's about a proportion, go to STAT,TESTS,1PropZInt. o If it's about a mean: If the population standard deviation is known, go to STAT,TESTS,ZInterval.

How to get to L1 on TI-83 Plus? ›

Press STAT, select [EDIT... ] this puts you into the List Editor. You will see columns with L1, L2,... going across the top.

Tell Me More ›

How to find probability on TI 83? ›

Pressing the MATH menu key will display the screen at the right. Press your left arrow key once to get to the PRB or probability menu. The 7 options showing are the only ones on this menu.

Learn More ›

How to use inverse norm on TI 83? ›

Inverse Normal

In the Distributions menu, scroll down to “invNorm(“ and press Н. The command syntax is “invNorm(area to the left of x, mean, standard deviation)”. Make sure the area that you enter is the area to the left of the x value you want to find. Press Н.

What is the difference between TI-83 and TI-83 Plus? ›

TI-83 Plus

A link port is also built into the calculator in the form of a 2.5 mm jack. The main improvement over the TI-83, however, is the addition of 512 KB of Flash ROM, which allows for operating system upgrades and applications to be installed.

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Can TI-83 Plus do calculus? ›

In this chapter, you'll learn how to use TI-83 Plus/TI-84 Plus calculus tools. You'll first learn how to calculate derivatives at a point and how you can find the line tangent to a curve.

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Is TI-83 Plus still good? ›

Although a newer model, the TI-84, has been released, I still think that the TI-83 Plus is a great choice for high schoolers everywhere, despite being older than all of them. At first glance, perhaps the most noticeable feature is the pixelated, uncolored screen.

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How to type letters on TI-84 Plus CE? ›

To access these letters, first press [ALPHA] and then press the key. For example, because the letter O is in green above the [7] key, to enter this letter, press [ALPHA] and then press [7].

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How do I put notes on my TI 89 from my computer? ›

Use the NoteFolio™ App with a TI-GRAPH LINK™ computer-to-device cable to transfer notes between your computer and your handheld device. You can also use the unit-to-unit link cable to transfer notes from one handheld device to another.

Know More ›

How do you add notes to a TI 85? ›

Procedure for the TI-85 or TI-86:

Press [PRGM] [F2]
Input the program name, then press [ENTER]
Now input the text information.

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How do I format my TI 83? ›

1) Press y L to display the MEMORY menu. 2) Select 7: Reset to display the RESET menu. 3) Press ~ and select 1: All Memory 4) Select 2: Reset to erase all data and programs.