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# How do I find the Exponential regression of certain points on a TI-86 Calculator?

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### Terry

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Posted on Dec 11, 2019

### 6ya staff

SOURCE:

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Posted on Jan 02, 2017

### k24674

Hello,
No need to enter R squared. If it has meaning it will display in the stats variables screen ( 2nd F7 ).
Hope it helps.

Posted on Sep 14, 2009

### k24674

Hello,
The correlation coefficient does not have meaning (is not defined) for most regression models. Check you theory to make sure it exits for the sine regression.
An easy way to verify that, is to use the Command DiagnosticOn, accessible through the catalog [2nd] (CATALOG) . Press [X^-1] (D) to jump to first command that starts with D. Scroll down to DiagnosticOn, select it and press [ENTER]. Calculator replies Done.

Do your sine regression again. If the correlation coefficient has meaning for this type of regression, you will find it with the other statistical variables. You may have to scroll down the statistical variable list to verify the whole contents of the list.

Hope it helps.
Thank you for rating the solution.

Posted on Dec 15, 2009

### k24674

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]  (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. 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. Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display. 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. 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. 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 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. Now, it is up to you to accept this model or to try another model.

Posted on Mar 15, 2010

Testimonial: "You are brillant. Wish you would write a textbook on how to use this calculator."

### kakima

SOURCE: I would really appreciate it

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

Posted on Mar 01, 2011

### Luis Bósquez González

SOURCE: how do i find the

Using logarithms. For example, if A ^ X = 2; then X = logA(2);
This calculator only works in base-10 logarithms or natural logarithms, you should use the base conversion formula.
logA(X) = logC(X) / logC(A).
Good luck!

Posted on May 04, 2011

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my-video-file.mp4

× ## Related Questions:

### What is wrong with my calculator? invNorm Error:Domain

DOMAIN ERROR:

- You specified an argument to a function or
instruction outside the valid range. This error is
not returned during graphing. The TI-84 Plus
allows for undefined values on a graph.

- You attempted a logarithmic or power
regression with a LX or an exponential or power
regression with a LY.

- You attempted to compute GPrn( or GInt( with
pmt2 < pmt1.

Mar 16, 2015 | Texas Instruments TI-84 Plus Calculator

### I have an TI-84 and when I put in my points in L1 and L2 I get my graph but when I go to my tables it doesn't show my points instead I get the X that shows up when there isn't points in.

when you do your regression (stat --> calc --> linReg/QuadReg/whichever regression you're doing)) make sure you put the equation into Y1 before going to the table.

Sep 14, 2011 | Texas Instruments TI-84 Plus Calculator

### 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

Mar 01, 2011 | Texas Instruments TI-89 Calculator

### How to find PRegC= when working with quadratic regression

You can either type in the name or pull it out of the STAT VARS menu (2nd [STAT] F5 MORE MORE MORE MORE F2.

Dec 03, 2010 | Texas Instruments TI-86 Calculator

### How to find the best fit for exponential decay?

The error comes from the vanishing values at the tail of the function. The exponential function does not vanish except for -infinity. Truncate the lists by removing the pairs (5,00 and (6,0) or fudge up the data (5, 1E-5) (6,1E-6) and you will get your equation of best fit.

I am including a link to a post of mine where I show how to perform an exponential regression. JUST IN CASE you need additional information on the subject.

Apr 14, 2010 | Texas Instruments TI-84 Plus Calculator

### 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]  (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. 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. Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display. 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. 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. 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 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. Now, it is up to you to accept this model or to try another model.

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

### Need to know how to use the calculator to solve confidence intervals for the mean

Hello,
I know that you can do 1 and 2 variable statstics, several kinds of regressions analyses, forecasting a value, make statistical graphs. I give you a link to the manual, which you will read to see if the calculator perfoms the calculations you refer to.

Hope it helps.

Apr 15, 2009 | Texas Instruments TI-86 Calculator

### HOW DO YOU ENTER r2 ON A TEXAS INSTRUMENT CALCULATOR?

Hello,
No need to enter R squared. If it has meaning it will display in the stats variables screen ( 2nd F7 ).
Hope it helps.

Nov 12, 2008 | Texas Instruments TI-89 Calculator

### Linear regression

I already answered a Q like this - you can't do 2 variable statistics on the TI-30XA, it only does one variable statistic.

To do 2 variable stat like linear regression, you need the TI-36X or TI-30X IIS, or comparable HP, casio etc

May 17, 2008 | Texas Instruments TI-30XA Calculator

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