WORKING WITH THE TI-83

          

     

We will be using the following statistical features of the TI-83:

STAT

When you press the STAT button, you are then given three different options: EDIT, CALC, and TESTS.

1.- EDIT

Use this option to access LISTS (similar to a spreadsheet) to create a new list of data or edit an existing list of data. There are six default columns, labeled L1, L2..,L6.

 

To enter data in a list:

Choose STAT → EDIT

Press ENTER

And select the list you want to use.

Type the entries in the list, following each value with ENTER

 

To create a new list , in addition to the 6 default lists, between L1 and L2,

Choose STAT → EDIT

Press ENTER

Put the cursor at the title of list L2

Press 2nd → INS  

A new column will be added to the left of L2. Use the ALPHA(green) key and alphabet keys to label the new list (for ex. BCCLIST)

 

To delete the BCCLIST list,

Put the cursor at the title of list BCCLIST

Press DEL

 

To access a list of names : Use 2nd → LIST

To sort the data in a given list in ascending(increasing) order,

Choose STAT → EDIT  → SortA(

Press ENTER

To access a list of names : Use 2nd → LIST

…in our case…BCCLIST

Enter the right parenthesis  ) ..

Press ENTER

 

To sort the data in a given list in descending(decreasing) order,

Choose STAT → EDIT  → SortD(

Press ENTER

To access a list of names : Use 2nd → LIST

…in our case…BCCLIST

Enter the right parenthesis ..

Press ENTER

 

 

To Clear a list, say, BCCLIST

Choose STAT → EDIT  → ClrList

Press ENTER

To access a list of names : Use 2nd → LIST

…in our case…BCCLIST

Press ENTER

 

2.-CALC

 

Use this option to get one or two variable summary statistics, the correlation coefficient, linear regression coefficients (slope and y-intercept), and regression  using transformed variables.

 

1:1-Var Stats: Use this option to compute summary statistics for one-variable (univariate) data. It gives the number of observations(n), mean(X), sum(Σ X), sum of squares (Σ X2), sample standard deviation (Sx), population standard deviation (σ), median(m), quartiles (Q1 and Q3), minimum, and maximum.

 

2:2-Var Stats: Use this option to compute summary statistics for bivariate data. It gives the number of pairs of observations (n), mean(X, Y), sum(ΣX , ΣY),   sum    of squares   (Σ X2  , ΣY2), sample standard deviation (Sx, Sy),   population   standard    deviation (σx , σy), min and max for each variable, and sum of products (ΣXY).

 

8:LinReg(a+bx): Use this option to get the correlation coefficient and least squares estimates for slope and y-intercept for linear regression.

 

9:LnReg: Use this option for logarithmic transformation to linearize a regression model.

 

ExpReg: Use this option for exponential transformation to linearize a regression model.

 

PwrReg: Use this option for fitting a power model using logarithmic transformation to linearize a regression model.

 

3.-TESTS

 

We will talk about these options after we have learnt about Statistical Inference.

 

STAT PLOT:

Use this option to make a scatterplot, boxplot, histogram, regression line plot, and residual plot.

   

 

 MAKING A HISTOGRAM USING THE ENTIRE DATA SET:

  1. Enter the data in one of the lists.(for ex. L1
  2. Then click 2nd STAT PLOT → 1:PLOT1 
  3. ENTER
  4. Turn the plot1 CLICK ENTER highlighting ON (selecting it)
  5. Move the cursor to the right to select Type: (the third figure from the left  is the “histogram”) CLICK ENTER to select it.
  6. You will see  Xlist:Here you have to select the list with the data. Put the cursor on the Xlist row and click 2nd STAT(LIST) and CLICK ENTER on the list with the data.
  7. CLICK ENTER  again. The cursor goes to the next row Freq. Leave the number 1 that should be there. If you have some other number or letter, change it for the number 1 .  
  8. CLICK ENTER  again. You are ready to see the graph.
  9. Click on the button GRAPH (upper right button)
  10. If you don't see the graph, or if you get an error, click on the button CLEAR .
  11. Then click on the button ZOOM that is in the center of the first row of buttons.
  12. You will see a window that says ZOOM   MEMORY
  13. Move the cursor down until the number 9 ZoomStat, click ENTER.
  14. Now you should see the graph.  

 

MAKING A BOXPLOT USING THE ENTIRE DATA SET:

 

  1. Enter the data in one of the lists.(for ex. L1
  2. Then click 2nd STAT PLOT → 1:PLOT1 
  3. ENTER
  4. Turn the plot1 CLICK ENTER highlighting ON (selecting it)
  5. Move the cursor to the right to select Type: (the FORTH AND FIFTH figures from the left  are the “BOXPLOT”) Put the cursor on the FORTH and CLICK ENTER to select it.
  6. You will see  Xlist:Here you have to select the list with the data. Put the cursor on the Xlist row and click 2nd STAT(LIST) and CLICK ENTER on the list with the data.
  7. CLICK ENTER  again. The cursor goes to the next row Freq. Leave the number 1 that should be there. If you have some other number or letter, change it for the number 1 .  
  8. CLICK ENTER  again. You are ready to see the graph.
  9. Click on the button GRAPH (upper right button)
  10. If you don't see the graph, or if you get an error, click on the button CLEAR .
  11. Then click on the button ZOOM that is in the center of the first row of buttons.
  12. You will see a window that says ZOOM   MEMORY
  13. Move the cursor down until the number 9 ZoomStat, click ENTER.
  14. Now you should see the graph.  

   

PARAMETERS OF A DISTRIBUTION OF UNIVARIATE(one variable!) DATA

Choose STAT → CALC

Press ENTER

Press  2nd → LIST

Select the list with the data

Press ENTER

 

WORKING WITH BIVARIATE (two variables!) DATA:

 

TO MAKE A SCATTERPLOT:

 

  1. Enter the data in one of the lists.(for ex. L1
  2. Then click 2nd STAT PLOT → 1:PLOT1 
  3. ENTER
  4. Turn the plot1 CLICK ENTER highlighting ON (selecting it)
  5. Move the cursor to the right to select Type: (the FIRST figure from the left  is the “SCATTERPLOT”) Put the cursor on this figure and CLICK ENTER to select it.
  6. You will see  Xlist and Ylist:Here you have to select the lists with the data for the two variables. Put the cursor on the Xlist row and click 2nd STAT(LIST) and CLICK ENTER on the list with the data for the independent variable(X).
  7. Put the cursor on the Ylist row and click 2nd STAT(LIST) and CLICK ENTER on the list with the data for the dependent variable(Y).
  8. CLICK ENTER  again. You are ready to see the graph.
  9. Click on the button GRAPH (upper right button)
  10. If you don't see the graph, or if you get an error, click on the button CLEAR .
  11. Then click on the button ZOOM that is in the center of the first row of buttons.
  12. You will see a window that says ZOOM   MEMORY
  13. Move the cursor down until the number 9 ZoomStat, click ENTER.
  14. Now you should see the graph.  

   

  TO COMPUTE THE CORRELATION COEFFICIENT:

  1. Enter X values in one of the lists (let's say...L1)
  2. Enter Y values in another list. (let's say...L2)
  3. Choose 2nd CATALOG → DiagnosticOn (Note: This step is needed only the very first time. Once the diagnostics are turned on, omit this step.)
  4. Choose STAT → CALC → 8:LinReg(a+bx)
  5. Enter 2nd LIST L1
  6. Enter a comma (,)
  7. Enter 2nd LIST L2
  8. Enter a comma (,)
  9. Enter Y1  ( using VARS/Y-VARS/1:Function)
  10. Press ENTER

 

TO GET SUMMARY STATISTICS FOR BIVARIATE( two variables!!) DATA

 

  1. Choose STAT → CALC → 2:2-Var Stats
  2. Enter ListA,ListB
  3. Press ENTER

 

TO CALCULATE RESIDUALS:

  1. Create a new list , for ex. ListRes,
  2. Put the cursor at the title of list ListRes
  3. Enter the list ListB-Y1(ListA)
  4. Press ENTER
  5. To sketch the graph, repeat the operations to create a scatterplot.

 

TO TRANSFORM DATA

1.      Create a new list with a name associated with the transformation.for ex. LnList.

2.      Put the cursor at the title of list LnList

3.      Enter the function you want to use, for ex. LnList(ListB),…

4.      Press ENTER

5.      To sketch the graph, repeat the operations to create a scatterplot.

 

WORKING WITH RANDOM NUMBERS

         To work with the random generator randInt, follow these instructions:

  • Click the MATH key

  • Select PRB

  • Select number 5 randInt(

  • To get 100 random numbers between 1 and 6, type the instruction : randInt(1, 6,100) STO L1

  • The last part of the instruction, STO L1, save the 100 random numbers into the list L1.

  • If you need to sort the data, press the button STAT and select 2 SortA(

  • Then select the list using 2nd LIST