Question about Texas Instruments TI-83 Plus Calculator

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ExpReg I have entered (1999,2000,2001,2002,2003) in L1 and (.1,.3,.8,1.9,.4.1) into L2 I want to determine the exponential regression equation to model the data but when I hit STAT CALC 0 then (L1,L2) ENTER it comes up with Error Message and GoTo. I Hit GoTo and it took me to the last step when I Entered ExpReg (L1,L2) ......My calculator is in Degree mode and I don't know what im doing wrong here.

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Try looking through this:
http://online.redwoods.cc.ca.us/instruct/kiyokoya/ExpReg/index.htm

also, you may find havina an algebra system on your omputer helpful a nice free one is Maxima:  http://wxmaxima.sourceforge.net/wiki/index.php/Main_Page

Posted on Dec 29, 2008

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1 Answer

Am trying to calculate corelation on a Casio fx-9750GII,


Press Menu.
Use arrows to highlight STAT icon and press EXE.
Enter your data in two lists (x-values in L1, Y-values in L2)
Press F2 to activate the CALC Tab at the bottom of screen.

8_1_2011_10_31_34_am.jpg
This is what you see.

8_1_2011_10_35_06_am.jpg
Press F3 to activate the REGression tab.
This is what you will see: the TABs at the bottom of screen.
Each tab corresponds to a regression model: X-linear, X2 quadratic, etc.
8_1_2011_10_38_52_am.jpg
If you press F3:X^2, you get the following
8_1_2011_10_36_07_am.jpg
You see the parameters of the regression equation, the coefficient of determination r^2, and the Mean Square error. No correlation coefficient is defined for this regression model.
For other models like linear, logarithmic, power and exponential regressions, the correlation coefficient is defined and is thus displayed with the regression equation. It is the r-value.

8_1_2011_10_44_16_am.jpg

Jul 31, 2011 | Casio FX-9750GPlus Calculator

1 Answer

I would really appreciate it if you could tell me how I can find exponential regression using a TI-89 Titanium Graphing calculator. Thank you very much :)


The ExpReg command is in the MATH/Statistics/Regression menu. The first two arguments are lists containing the x and y values. An optional third argument is a frequency list. Two additional optional arguments are lists of category codes and a category include list.

Full details are in the manual under ExpReg, page 819 in the version available at
http://education.ti.com/calculators/downloads/US/Guidebooks/Detail?id=6128

Mar 01, 2011 | Texas Instruments TI-89 Calculator

1 Answer

Create a scatter plot of the data


The drawing of the scatter plot proper is explained in the last part (Part F). You might want to jump right to it.


Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DIAGNOSTICSON
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN statistical RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.
f2d3743.jpg
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. Select Regression model (Example Exponential, linear, sine, quadratic, etc.) Here I selected Exponential
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get your equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square.

Since the equation is saved in the Y1 function it can be superposed on the scatter plot. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

F. DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the Down Arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearance of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.

Nov 06, 2010 | Texas Instruments TI-84 Plus Calculator

1 Answer

When I enter the Regression Equation into the "y=" calculated from the Statistics that I input, it inputs half the equation into the power. Like X^(n 3) instead of X^(n) 3 which is what it is meant to be.


The regression equation can be copied automatically in a Yx variable. You need not enter it manually(?).
Example: Suppose you are performing a quadratic regression on data stored in L1 and L2.
  1. From the [Stat][

Oct 12, 2010 | Texas Instruments TI-84 Plus Silver...

1 Answer

Whenever i enter coordinates for a scatter plot or best fit line the point do not show up neither does the line i can trace the points and the calculator tell the coordinates but they are not visible


Two possibilities:
  1. Graph is out of range (out of the window). If your data is positive set Xmin=0 and Ymin=0. Set Xmax a bit larger than the maximum x-value and YMAX a bit larger than the maximum y-value. You can also press [ZOOM] and select [9:ZoomStat].
  2. To mark the points you may have select the dot and your calculator screen is too dim.
To help you setup your calculator To perform regression analysis I am inserting here a copy of a more detailed post of mine where I show the complete procedure applied to a quadratic regression.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][ ] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DIAGNOSTICSON
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN statistical RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what one gets with the data above.

f2d3743.jpg
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimics the raw data best. Select Regression model ( exponential, linear, sine, quadratic, etc.) Here I selected Exponential
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER], you'll get your equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square.

Since the equation is saved in the Y1 function it can be superposed on the scatter plot. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

F. DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the Down Arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearance of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg
The graph above represents a parabola and has nothing to do with the sample data entered. But it shows the raw data and the curve of best fit on the same screen.

Sep 03, 2010 | Texas Instruments TI-83 Plus Calculator

1 Answer

I need to find the equation for some points with my calculator but they are for an exponential regession. How do I do this?


Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN THE STATISTICAL RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. In this step you must select the exponential regression model.
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.

May 13, 2010 | Texas Instruments TI-84 Plus Calculator

2 Answers

How do I create a scatter plot?


The drawing of the scatter plot proper is explained in the last part (Part F). You might want to jump right to it.


Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DIAGNOSTICSON
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN statistical RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.
f2d3743.jpg
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. Select Regression model (Exeample Esponential, linear, sine, quadratic, etc.) Here I selected Exponential
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square.

Since the equation is saved in the Y1 function it can be superposed on the scatter plot. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

F. DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the Down Arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearance of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.
Comments: Apr 19, 2010 - I tried to edit the post to address your particular need but after several crashes I decided to paste it as is.
The particular parts that are of concern to you are Part E (performing a regression analysis) and the following one where the best fit and the dcatter plot are superposed on the same display.

As you have guessed you must select QuadReg.

Apr 30, 2010 | Texas Instruments TI-84 Plus Calculator

1 Answer

How to Plot & graph or Model Quadratic on the same screen. I want to plot the points from adta table & then using Quad regression I got the equation ,but I can't graph on the same screen as the...


Read this post. It answers all your questions and shows you HOW to do find your equation of best fit, correlation coefficients, etc.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN THE STATISTICAL RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. In this step you must select the exponential regression model.
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.

Apr 16, 2010 | Texas Instruments TI-84 Plus Silver...

1 Answer

I need to find the equation for some points with my calculator, but they are for an exponential regession. How do I do this?


Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DIAGNOSTICSON
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA (ENTER your own data)
Press [STAT][1:Edit]
Type in your X values in L1 and the Y values in L2 (see picture 1).
894afd6.jpg

TO OBTAIN the statistical RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is a sample of what one gets .
f2d3743.jpg
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. In this step you must select the exponential regression model.
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are sample results.
f07d40f.jpg
You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked To obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the Down Arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.

Mar 21, 2010 | Texas Instruments TI-84 Plus Calculator

1 Answer

TI-83 Texas calculator, exponential regression. How to input data in calculator? I have D list (time/days list of 1,2,3,4,5,6,7) and N list (6,10,13,27,42,65,120)- how do I input into calculator and draw a...


Read this post. It answers all your questions and shows you HOW to do find your equation of best fit, correlation coefficients, etc.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN THE STATISTICAL RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. In this step you must select the exponential regression model.
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg

Now, it is up to you to accept this model or to try another model.

Mar 14, 2010 | Texas Instruments TI-83 Plus Calculator

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