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

Quick Tips

Legend

  • G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (1) represents a button press
  • [ ] represents yellow command or green letter behind a key
  • < > represents items on the screen

To adjust the contrastPress G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (2) , then hold G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (3) to increase the contrast or G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (4) to decrease the contrast.

To capitalize letters and wordsPress G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (5) to get one capital letter, or press G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (6) , then G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (7) to set all button presses to capital letters.You can return to the top-level button values by pressing G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (8) again.

To correct a mistakeIf you hit a wrong button, just hit G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (9) 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× 10 4 4.321× 10 4
  • 4.321 E –4 = 4.321× 10 –4 4.321× 10 –4

To transfer programs or equations from one calculator to another:Both calculators: Insert your respective end of the link cable cableand press G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (10) , then [LINK].

Calculator receiving information:

  1. Use the arrows to navigate to and select <RECEIVE>
  2. Press G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (11) .

Calculator sending information:

  1. Press appropriate number or letter.
  2. Use up and down arrows to access the appropriate item.
  3. Press G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (12) to select item to transfer.
  4. Press right arrow to navigate to and select <TRANSMIT>.
  5. Press G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (13) .

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 G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (14) , 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:

  1. Turn on the calculator.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (15)

  2. Access statistics mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (16)

  3. Select <4:ClrList> to clear data from lists, if desired.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (17) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (18)

  4. Enter list [L1] to be cleared.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (19) , [L1] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (20)

  5. Display last instruction.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (21) , [ENTRY]

  6. Continue clearing remaining lists in the same fashion, if desired.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (22) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (23) , [L2] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (24)

  7. Access statistics mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (25)

  8. Select <1:Edit . . .>
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (26)

  9. 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).
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (27) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (28) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (29)

    • Continue in the same manner until all data values are entered.
  10. 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").
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (30) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (31)

    • Continue in the same manner until all data values are entered.
  11. Access statistics mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (32)

  12. Navigate to <CALC>.
  13. Access <1:1-var Stats>.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (33)

  14. Indicate that the data is in [L1]...
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (34) , [L1] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (35)

  15. ...and indicate that the frequencies are in [L2].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (36) , [L2] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (37)

  16. 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.

  1. Access graphing mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (38) , [STAT PLOT]

  2. Select <1:plot 1> to access plotting - first graph.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (39)

  3. Use the arrows navigate go to <ON> to turn on Plot 1.
    <ON> ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (40)

  4. Use the arrows to go to the histogram picture and select the histogram.G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (41)
  5. Use the arrows to navigate to <Xlist>.
  6. If "L1" is not selected, select it.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (42) , [L1] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (43)

  7. Use the arrows to navigate to <Freq>.
  8. Assign the frequencies to [L2].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (44) , [L2] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (45)

  9. Go back to access other graphs.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (46) , [STAT PLOT]

  10. Use the arrows to turn off the remaining plots.
  11. Be sure to deselect or clear all equations before graphing.

To deselect equations:

  1. Access the list of equations.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (47)

  2. Select each equal sign (=).
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (48)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (49)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (50)

  3. Continue, until all equations are deselected.

To clear equations:

  1. Access the list of equations.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (51)

  2. Use the arrow keys to navigate to the right of each equal sign (=) and clear them.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (52)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (53)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (54)

  3. Repeat until all equations are deleted.

To draw default histogram:

  1. Access the ZOOM menu.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (55)

  2. Select <9:ZoomStat>.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (56)

  3. The histogram will show with a window automatically set.

To draw custom histogram:

  1. Access window mode to set the graph parameters.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (57)
    • X min =–2.5 X min =–2.5
    • X max =3.5 X max =3.5
    • X scl =1 X scl =1 (width of bars)
    • Y min =0 Y min =0
    • Y max =10 Y max =10
    • Y scl =1 Y scl =1 (spacing of tick marks on y-axis)
    • X res =1 X res =1
  2. Access graphing mode to see the histogram.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (58)

To draw box plots:

  1. Access graphing mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (59) , [STAT PLOT]

  2. Select <1:Plot 1> to access the first graph.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (60)

  3. Use the arrows to select <ON> and turn on Plot 1.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (61)

  4. Use the arrows to select the box plot picture and enable it.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (62)

  5. Use the arrows to navigate to <Xlist>.
  6. If "L1" is not selected, select it.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (63) , [L1] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (64)

  7. Use the arrows to navigate to <Freq>.
  8. Indicate that the frequencies are in [L2].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (65) , [L2] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (66)

  9. Go back to access other graphs.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (67) , [STAT PLOT]

  10. Be sure to deselect or clear all equations before graphing using the method mentioned above.
  11. View the box plot.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (68) , [STAT PLOT]

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."

G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (69)

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:

  1. ON Turns calculator on.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (70)

  2. Before accessing this program, be sure to turn off all plots.
    • Access graphing mode.
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (71) , [STAT PLOT]

    • Turn off all plots.
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (72) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (73)

  3. Round to three decimal places. To do so:
    • Access the mode menu.
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (74) , [STAT PLOT]

    • Navigate to <Float> and then to the right to <3>.
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (75)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (76)

    • All numbers will be rounded to three decimal places until changed.
      G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (77)

  4. Enter statistics mode and clear lists [L1] and [L2], as describe previously.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (78) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (79)

  5. Enter editing mode to insert values for x and y.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (80) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (81)

  6. Enter each value. PressG NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (82) to continue.

To display the correlation coefficient:

  1. Access the catalog.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (83) , [CATALOG]

  2. Arrow down and select <DiagnosticOn>
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (84)... ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (85) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (86)

  3. rr andr2r2 will be displayed during regression calculations.
  4. Access linear regression.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (87)G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (88)

  5. Select the form of y = a + bx.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (89) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (90)


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:

  1. Access graphing mode.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (91) , [STAT PLOT]

  2. Select <1:plot 1> To access plotting - first graph.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (92)

  3. Navigate and select <ON> to turn on Plot 1.
    <ON>G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (93)

  4. Navigate to the first picture.
  5. Select the scatter plot.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (94)

  6. Navigate to <Xlist>.
  7. If [L1] is not selected, pressG NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (95) , [L1] to select it.
  8. Confirm that the data values are in [L1].
    <ON>G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (96)

  9. Navigate to <Ylist>.
  10. Select that the frequencies are in [L2].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (97) , [L2] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (98)

  11. Go back to access other graphs.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (99) , [STAT PLOT]

  12. Use the arrows to turn off the remaining plots.
  13. Access window mode to set the graph parameters.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (100)
    • Xmin=1970Xmin=1970
    • Xmax=2000Xmax=2000
    • Xscl=10Xscl=10 (spacing of tick marks on x-axis)
    • Ymin=0.05Ymin=0.05
    • Ymax=60Ymax=60
    • Yscl=10Yscl=10 (spacing of tick marks on y-axis)
    • Xres=1Xres=1
  14. Be sure to deselect or clear all equations before graphing, using the instructions above.
  15. Press the graph button to see the scatter plot.G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (101)

To see the regression graph:

  1. Access the equation menu. The regression equation will be put into Y1.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (102)

  2. Access the vars menu and navigate to <5: Statistics>.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (103) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (104)

  3. Navigate to <EQ>.
  4. <1: RegEQ> contains the regression equation which will be entered in Y1.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (105)

  5. Press the graphing mode button. The regression line will be superimposed over the scatter plot.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (106)

To see the residuals and use them to calculate the critical point for an outlier:

  1. Access the list. RESID will be an item on the menu. Navigate to it.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (107), [LIST], <RESID>

  2. Confirm twice to view the list of residuals. Use the arrows to select them.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (108) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (109)

  3. The critical point for an outlier is: 1.9VSSEn-21.9VSSEn-2 where:
    • nn = number of pairs of data
    • SSESSE = sum of the squared errors
    • Σresidual2Σresidual2
  4. Store the residuals in [L3].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (110) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (111) , [L3] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (112)

  5. Calculate the Σresidual2n-2Σresidual2n-2. Note thatn-2=8n-2=8
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (113) , [L3] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (114) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (115) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (116)

  6. Store this value in [L4].
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (117) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (118) , [L4] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (119)

  7. Calculate the critical value using the equation above.
    G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (120) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (121) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (122) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (123) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (124) , [V] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (125) , [LIST]G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (126) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (127) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (128) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (129) , [L4] ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (130) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (131) ,G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (132)

  8. Verify that the calculator displays: 7.642669563. This is the critical value.
  9. 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 G NOTEs for the TI-83, 83+, 84, 84+ Calculators - Introductory Statistics 2e | OpenStax (133) 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(Xx)

Continuous Distributions (general)

  • uses the value –1EE99 for left bound
  • 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.

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

FAQs

How to type notes on TI 83? ›

Type your notes. By default, the alpha-lock feature is not enabled. Therefore, you must press "Alpha" and the key associated with the letter to type the letter. If you want to type a long string of letters, press "2nd," then "Alpha" to enable alpha-lock.

How do you do statistics on a TI-83 Plus calculator? ›

To enter data, press STAT and go to 1:EDIT • In the first empty column, enter the data for variable 1 • Move the cursor to column L2, and enter the second variable's data in that column • Press STAT, and then move cursor to CALC. Press 2:2-Var Stats • Select the variables for which you wish to do the computation.

Why are TI 83 so expensive? ›

It's all about supply and demand. Graphing calculators are still widely used by students, and schools have strict boundaries for what these gadgets can do. Many curriculums in American math classes require the use of a TI-83 or TI-84 graphing calculator (or its equivalent).

How do you write letters on a TI-84 Plus? ›

You must press [ALPHA] before entering each letter. However, if you want to enter many letters, first press [2nd][ALPHA] to lock the calculator in Alpha mode. Then all you have to do is press the keys for the various letters.

How to write formulas in TI-84 Plus? ›

"" = "" Functions of the form y = f(x) can be entered into the TI-83/TI-84 Plus using the "Y = menu. To access the "Y menu, press the Y= key. Type the expres- sion f(x) after Y, using the X,T,, key for the variable x and press ENTER. - For example, enter the function f(x) = 3x5 4x + 1.

How to use TI-84 for statistics? ›

How do I calculate one-variable statistics on the TI-84 Plus C Silver Edition?
  1. Press [STAT] and select 1:Edit.
  2. Enter in the data one at a time into L1, pressing [ENTER] after each entry.
  3. Press [STAT], scroll to highlight CALC.
  4. Select 1: 1-Var Stats and press [ENTER].

How to get summary statistics in TI-84? ›

TI-84: Summarizing Data Numerically
  1. First enter your data. Go to: [STAT] "1: Edit". [ENTER].
  2. To view the items in the summary, go to: [STAT] "Calc" "1: 1-Var Stats" [ENTER]. Use the arrow keys to scroll down.
  3. An explanation of each piece of information is in the chart below.
Jan 9, 2023

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).

How to type letters on a calculator? ›

When you turn your calculator upside down in hexadecimal mode, you can turn b into q and d into p. Along with q and p, you can make the letters O, D, I, Z, E, h, A, S, g/q, L, B, and G from numbers. The possibilities are endless! You can also use the number 2 instead of the word "to" or "too."

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