MATH 1530
Elementary Probability and Statisitics
Graphing Calculator Instructions
Steps to follow to find the mean and standard deviations of a frequency table (or individual data).
1. ON
2. 2nd
3. MATRIX (to get into STAT mode)
4. > > (cursor over twice using arrow keys to DATA)
5. 2 (CLRSTAT: clears any previous data; THIS IS A VERY IMPORTANT STEP which must be completed every time you start with new data.)
6. ENTER (on home screen now)
7. Repeat steps 2 through 4 to get back to DATA in STAT mode
8. ENTER (#1: to get to EDIT screen to input data values
y's are the frequencies of each value; leave as 1 if individual data)
10. Put the frequency in for the y's and press ENTER after each one
Once ALL the data values and frequencies are in, DO THE FOLLOWING:
11. 2nd
12. MATRIX
13. ENTER (#1 is 1-variable statistics you want to compute)
14. ENTER (on the home screen now; you
will get the mean and standard
deviations for the data)
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. Input the paired data following steps #1 - 10 above. The x-value will be the first of the 'paired' values in the number pair (instead of the class mark or individual data value) and the y-value will be the second of the 'paired' values in the number pair (instead of the frequency).
2. 2nd
3. STAT
4. Press 2 (LinReg; puts you on the home screen)
5. ENTER (computes the linear regression equation y = bx + a
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. ON
2. STAT
3. > (arrow right one time to get to CALC)
4. 3 , then ENTER (for SET-UP)
5. Under 1-Var Stats
7. ENTER (#1 EDIT... puts you on the list screen)
8. If data appears in L1 and/or L2 columns, do the following:
Complete the same for the L2 column.
10. Input the corresponding frequencies in L2, pressing ENTER after each value
IMPORTANT!! The TI-82 will NOT allow a frequency of more than 99.
Therefore, if you have a frequency, for example, of 104, you would have to put the data value in the L1 column TWICE - once with a frequency of 99 and again with a frequency of 5 - to give you a total of 104 of that data value.
12. > (arrow right one time to CALC)
13. ENTER (#1 is the 1-VAR STATS you want to compute)
14. ENTER (on the home screen now;
the mean and standard deviations will be computed for the frequency table
or individual data values)
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. ON
2. STAT
3. > (arrow right one time to get to CALC)
4. 3 , then ENTER (for SET-UP)
5. Under 2-Var Stats
Ylist: highlight L2
(Each of these is the calculator's default settings and will already be highlighted unless previously changed.)
7. In L1 input the first value of the paired data (usually called the x-value)
8. In L2 input the second values of the paired data (usually called the y-value)
10. > (arrow right once to CALC)
11. Press 5 (chooses LinReg (ax+b); puts you on the home screen)
12. ENTER (computes the linear regression equation y = ax + b and the linear correlation coefficient value r.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. ON
2. STAT
3. ENTER (#1 Edit... will put you on the List Screen)
4. If data appears in L1 and/or L2 columns, do the following:
Complete the same for the L2 column.
6. Input the corresponding frequencies in L2, pressing ENTER after each one (use a '1' if you have individual data values)
7. STAT
8. > (arrow right one time to CALC)
9. ENTER (#1 is the 1-VAR STATS you want to compute)
10. You should be on the home screen now with '1-Var Stats' on a line by itself.
The home screen line should now have: 1-Var Stats L1,L2
(the 2 will be on the next line; that's OK)
THIS IS A VERY IMPORTANT STEP!
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. Press 2nd then Catalog (the '0' key)
2. Arrow down until arrow is next to DiagnosticOn
3. Press Enter then Enter again. Homescreen should say
DiagnosticOn
Done
4. Follow steps #1 - 4 above to clear any previous data in the L1 and L2 columns
5. In L1, input the first value of the paired data (usually called the x-value)
6. In L2, input the second values of the paired data (usually called the y-value)
8. > (arrow right once to CALC)
9. Press 4 (chooses LinReg (ax+b); puts you on the home screen)
10. ENTER (computes the linear regression equation y = ax + b and the linear correlation coefficient value r.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. ON
2. STAT
3. F2 (for EDIT)
4. F3 (to give xlist NAME = L1)
5. ENTER
6. F4 (to give ylist NAME = L2)
7. ENTER
8. F5 (to clear any past stat values)
9. Input first class mark (class midpoint) for x1 ,then press ENTER
10. Input first class frequency for y1 ,then press ENTER
11. Repeat steps 9 and 10 until all values have been entered.
12. 2ND
13. F1 (for calc mode)
14. ENTER
15. ENTER
16. F1 (for 1-VAR; mean and standard deviations
will be computed)
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. Follow Steps #1-15 above (The x-values will be the first number of the data pairs; the y-values will be the second number of the data pairs.)
2. Press F2 (for LINR - linear regression - computations)
(Do NOT confuse this with F3 - LNR - which is the logarithmic regression command)
The values given will be the components of the equation: y = bx + a (where 'b' is the slope of the equation and 'a' is the y-intercept of the equation)
The linear correlation coefficient is the value stated for 'corr'.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. ON
2. To SET UP THE CUSTOM MENU, do the following:
a) Press the yellow 2nd key, then CUSTOM (to access the CATLG-VARS menu)
b) Press MORE, MORE (STAT should be above F4)
c) Press F4 (to access statistical commands)
d) Arrow down until xStat has the arrow beside it.
e) Press F3 (CUSTM: to place the sStat command in your CUSTOM list)
f) Your CUSTOM list should be up now (places to store commands you need to use often); Press the position (F1, F2, etc.) where you want to store the xStat command.
g) Arrow up to fStat in the statistical commands list
h) Press the position where you want to store this command (F1, F2, etc.) in the CUSTOM list.
i) Arrow down to yStat in the statistical list
j) Press the position where you want to store this command (F1,F2, etc.) in your CUSTOM list.
YOU SHOULD NOW HAVE THE THREE STATISTICAL COMMANDS:
xStat fStat yStat IN YOUR CUSTOM LIST.
You will not have to complete these first two steps ever again, unless your calculator is reset to the default settings, batteries run down, etc.
*Press 2nd EXIT (Quit) to get out of the Catalog-Vars menu.*
3. Press the yellow 2nd key.
4. Press the + key. (to access the STAT mode)
5. F2 (to access the EDIT menu)
6. If your xStat, yStat, and fStat lists have values already in them, you should delete those values before you begin a new problem. Arrow to the top of the list until the heading of the list is highlighted, press CLEAR , then ENTER.
7. Input your class marks (class midpoints) or individual data values in the xStat list (first column), pressing ENTER after each.
8. Input the FREQUENCY of each data value in the fStat list (3rd column !!). You can input a '1' if you have individual data values. (There are other ways to handle this, but to keep the following directions simple, we will go this route.)
9. EXIT (THIS IS A VERY IMPORTANT STEP!!)
10. Press 2nd, then + (to access the STAT menu again)
11. F1 (to access the CALC menu)
12. F1 (again, to access the OneVa - one variable command)
13. Press CUSTOM
14. Press the position (F1, F2, etc.) where you have the xStat command stored.
15. Press the comma key (,)
16. Press the position (F1, F2, etc.) where you have the fStat command stored.
17. (The home screen line should now read: OneVar xStat,fStat ) Press ENTER
The screen should now show the mean, standard deviations, and other statistical values.
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. If you have not previously set up the CUSTOM menu, follow steps #1 and 2 above.
2. Follow steps #3 - 6 above.
3. Input the first value of each data pair in the xStat list, pressing ENTER after each.
4. Input the second value of each data pair in the yStat list, pressing ENTER after each. (Make sure each number pair is correctly placed on the same line. )
5. EXIT (THIS IS A VERY IMPORTANT STEP!!)
6. Press 2nd, then + (to access the STAT menu again)
11. F1 (to access the CALC menu)
12. F3 (to access the LinR- linear regression - command;
(Do NOT confuse this with F4 - LnR - which is the logarithmic regression command)
13. Press CUSTOM
14. Press the position (F1, F2, etc.) where you have the xStat command stored.
15. Press the comma key (,)
16. Press the position (F1, F2, etc.) where you have the yStat command stored.
17. (The home screen line should now read: LinR xStat,yStat ) Press ENTER
The home screen should now have the linear regresssion equation components:
y = a + bx (where 'a' is the y-intercept and 'b' is the slope). The linear correlation coefficient is the value stated for 'corr'.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. AC
2. MODE
3. X (the times - muliplication - sign)
You are now ready to input your data by:
4. F2 (for edit)
5. F3 (to erase any previous data)
{F1 puts the data into a frequency table that you cannot see yet.}
Repeat step 6 until all data values are in.
7. F2 (to review data)
8. PRE (goes back to PREvious screen)
9. F4 (press the appropriate key for the mean or standard deviation)
10. EXE
To go back to computational mode: 1. MODE
Steps to follow to find the linear correlation coefficient and the linear regression equation.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. AC
2. Press 3
3. Go to the Set Up by pressing: SHIFT and MENU
The display should look like the following: GRAPH TYPE: REC
STAT DATA: STO
STAT GRAPH: NON-
M-DISP/COPY: M-DP
4. EXIT (The next display just indicates what you have in your set up.)
You are now ready to input you data by:
5. F2 (for edit)
6. F3 (to erase any previous data)
{F1 puts the data into a frequency table that you cannot see yet.}
Repeat step 7 until all data values are in.
8. F2 (to review data)
9. EXIT (goes back to previous screen)
10. F4 (press the appropriate key for the mean or standard deviation)
11. EXE
To go back to computational mode: 1. MENU
3. EXE
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. AC
2. Press 4
3. Go to SET UP by either pushing F6 (if you see SET in the lower right hand corner of the screen) or by SHIFT and MENU. Make the display look like the following:
The display should look like the following: GRAPH TYPE: REC [F1]
STAT DATA: STO [F1]
STAT GRAPH: NON- [F2]
REG MODEL: LIN [F1]
M-DISP/COPY: M-DP [F1]
4. EXIT
You are now ready to input you data by:
5. F2 (for edit)
6. F3 (to erase any previous data)
Repeat step 7 until all data values are in.
8. [F6] REG To find the linear regression equation
9. [F1] [EXE] "A" value
10. [F2] [EXE] "B" value
These values give you the equation: y = "B"x + "A" Remember this!
11. [F3] [EXE] r value (correlation coefficient)
To check the values you have entered, press [EXIT] once, then [F2] for edit.
The value that is highlighted will delete the whole row.
[F2] INS You can insert data value(s) that you might have omitted by pressing
To input a new data set, go back to step 5.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. AC/ON
2. Press 3
3. Go to SET UP by either pushing F6 (if you see SET in the lower right hand corner of the screen) or by SHIFT and MENU. Make the display look like the following:
S-graph: NON-
G-type: REC/CON
Angle: Deg
Display: Nrml or Nrm2
M-D/Cpy: M-Disp
4. EXIT (The next display just indicates what you have in your set up.)
You are now ready to input you data by:
5. F2 (for edit)
6. F3 (to erase any previous data)
{F1 puts the data into a frequency table that you cannot see yet.}
Repeat step 7 until all data values are in.
8. F2 (to review data)
9. EXIT (goes back to previous screen)
10. F4 (press the appropriate key for the mean or standard deviation)
11. EXE
To go back to computational mode: 1. MENU
3. EXE
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. AC/ON
2. Press 4
3. Go to SET UP by either pushing F6 (if you see SET in the lower right hand corner of the screen) or by SHIFT and MENU. Make the display look like the following:
S-data: STO [F1]
S-graph: NON- [F2]
S-plot: Blue [F1]
G-type: REC/PLT [F6]
Angle: Deg [F1]
Display: Nrm2 [F3] twice
4. EXIT (The next display just indicates what you have in your set up.)
You are now ready to input you data by:
5. F2 (for edit)
6. F3 (to erase any previous data)
{F1 puts the data into a table that you cannot see yet.}
Repeat step 7 until all data values are in.
8. [F6] REG To find the linear regression equation
9. [F1] [EXE] "A" value
10. [F2] [EXE] "B" value
These values give you the equation: y = "B"x + "A" Remember this!
11. [F3] [EXE] r value (correlation coefficient)
To check the values you have entered, press [EXIT] once, then [F2] for edit.
The value that is highlighted will delete the whole row.
[F2] INS You can insert data value(s) that you might have omitted by pressing
To input a new data set, go back to step 5.
Steps to follow to find the mean and the standard deviations of a frequency table or individual data.
1. AC/ON
2. Press 2
3. Go to SET UP by either pushing F6 (if you see SET in the lower right hand corner of the screen) or by SHIFT and MENU. Make the display look like the following:
Graph Func: On
Background: None
Plot/Line: Blue
Angle: Deg
Coord: On
Grid: Off
Axes: On
Label: On
Display: Norml
4. EXIT
You are now ready to input your data by:
5. > (arrow right once) Get to DEL-A at F4 and use to clear any data values.This will only clear data values in the highlighted column.
6. Put in all your data values or class marks (class midpoints) in LIST 1 by pressing EXE after each entry.
7. > (arrow right once)
8. In LIST 2 input the frequency, pressing EXE after each entry.
9. After all values have put in, press the right arrow key (>) until you see CALC which should be right above F2. Press F2 and then F1 for 1VAR. This will give you the mean, standard deviation, and more information if you cursor down.
10. To put in different data sets, press EXIT twice until you get back to the right arrow that is over F6. Begin with step 5 above.
To go back to computational mode: 1. MENU
3. EXE
Steps to follow to find the linear correlation coefficient and the linear regression equation.
1. AC/ON
2. Press 2
3. Go to SET UP by either pushing F6 (if you see SET in the lower right hand corner of the screen) or by SHIFT and MENU. Make the display look like the following:
Graph Func: On
Background: None
Plot/Line: Blue
Angle: Deg
Coord: On
Grid: Off
Axes: On
Label: On
Display: Norml
4. EXIT
You are now ready to input your data by:
5. > (arrow right once) Get to DEL-A at F4 and use to clear any data values.This will only clear data values in the highlighted column.
6. Put in all your x-values in LIST 1 by pressing EXE after each entry.
7. > (arrow right once)
8. In LIST 2 input the y-values, pressing EXE after each entry.
9. After all values have put in, press the right arrow key (>) until you see CALC which should be right above F2. Press F2 and then F3 for REG. This will give you another menu. For linear regression, press [F1] key {X} and you should have the following display.
DISPLAY LinearReg
a =
b =
r =
y = ax + b
10. To put in different data sets, press EXIT twice until you get back to the right arrow that is over F6. Begin with step 5 above.
To go back to computational mode: 1. MENU
3. EXE
Thanks for Professor Brenda Ammons for assistance in developing this website.
Revised: November 21, 2002