Question about Texas Instruments TI-84 Plus Calculator

2 Answers

Regression line cannot fit least squares regression line =s i get as far as [Stat] [>] clac [8] LinReg (a+bx) [enter] [2nd] L1 [,] L2 [,] then im told i have to enter "Y1" to have the line drawn on the graph, but i cant find y1. what do i do??

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2 Answers

I worked it out with a little help from my teacher.
Was the stupidest mistake D:
Thanks for takin the time to help me out though, much appreciated!

Posted on Nov 09, 2008

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  • 56 Answers

Okay this is easy but i'm doing it without a calculator infront of me in the upper right side of the calculator there is a button VARS hit it then i think you go right to function then hit enter then hit enter again. BEST OF LUCK

Posted on Nov 08, 2008

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Ti 84 plus silver edition will not fit a linear model to plotted points. when I use the function vars>stat>EQ>RegEQ it transmits incomplete data in to Y=.


Your data must be in two lists L1 (for x-values), and L2 (for y-values). This is the default setting. Open the STAT utility, go to the regression models. Select your model then press ENTER. The command echoes on the main screen. For example let the regression be something called LinReg.
On the main screen you see LinReg
Complete the command line as follows
LinReg L1, L2, Y1, ENTER
You see the statistics including the regression equation.
If you go to Y= Editor you will see that Y1 contains the regression equation.
If you have already drawn the scatter plot for your data, pressing GRAPH will superpose the scatter plot and the regression curve., and you will be able to judge the goodness of the fit.

Sep 28, 2013 | Texas Instruments TI-84 Plus Silver...

1 Answer

I have a TI-84 plus calculator. I enter data into a table (L1 & L2) and go through the steps to get an equation for the data. Next, I should be able to press VARS, move to Y-VARS, select FUNCTION,...


Your assumption
--Next, I should be able to press VARS, move to Y-VARS, select FUNCTION, then select Y-1 and automatically enter the equation into Y-1.-
is not correct.

When you press [STAT[>][CALC][4:LinReg(ax+b)] or any other regression model,the command echoes on the main screen. If you press [ENTER] at this point, the calculator uses by default lists L1 and L2 and displays the resulting equation without copying it in a Y-variable.

If you want to have the equation copied on a Y-function, you should modify the command as follows
LineReg(ax+b) [SHIFT][1: L1] [,] SHIFT[2:L2] [,] [VARS][>:Y-Vars] [1:Function][1:Y-1][ENTER].

Here, [>] stands for RightArrow. For any other regression model, use the appropriate command.
At this point, the command line should look like the following:

LinReg(ax+b) L1, L2, Y1

Press [ENTER] to calculate you get the same screen as when you do not save the equation in Y1, but if you go to the Y= editor or press GRAPH, you will see the regression line superposed on the scatter plot.

Jul 13, 2011 | Texas Instruments TI-84 Plus Calculator

1 Answer

When trying to construct linear regression, i go to stat, calc, then 4:linreg(ax +b) then type in my L1, L2, it shows me y=ax+b, a = and b = but not my r2 and r! how do i get it to show me that?


Press MODE to bring up the mode editor. Press down-arrow until you get to the line beginning with "STATDIAGNOSTICS." Use right-arrow to highlight "ON" then press ENTER to select it. Press 2ND [QUIT] to exit the mode editor.

Dec 15, 2010 | Texas Instruments TI-84 Plus Calculator

1 Answer

How do i find the line of best fit on my TI-84 plus addition?


Here is a complete solution that shows you how to find the equation for the best curve fitting, how to draw that equation on the same screen as the scatter plot and also how to do interpolation or the best fit curve. The post may seem long for an impatient reader but it leaves no stone unturned. Please DO READ it till the end.

The data points used are for a parabola (QuadReg) but you can easily adapt it

The points I will represent are those on a parabola (squares of all integer numbers from 0 to 10). Substitute your own values in L1 and L2

L1= {0,1,2,3,4,5,6,7,8,9,10}
L2={0,1,4,9,16,25,36,49,64,81,100}

1. PREPARE THE GRAPH FORMAT (you will see why latter)
With the calculator turned On, press [2nd][ZOOM] to access the (FORMAT) screen. Notice that RectGC is highlighted. It means that the coordinates are rectangular. IF the POLARGC had been highlighted and you had used the TRACE function the values of the coordinates of the points being traced would be in the form (R, theta), in other words polar coordinates.
8b83b2e.jpg
2. ENTER THE DATA

Press STAT, then under the EDIT menu press [1:Edit]
57b097c.jpg
to open the list editing screen. Enter the elements of the two lists
d10bb96.jpg
After you enter the data in L1 and L1, Press [2nd][Y=] to open the (STAT PLOT)

3. CONFIGURE THE STAT PLOT TYPE

Initially the Plot1 may be OFF. Make sure at the beginning that all Stat Plots are OFF. If necessary press [4:PlotsOff] execute the command in Main calculator screen and press [2nd][Y=1] to get back at the stat plot screen configuration below
d653a12.jpg
Press 1:Plot1 Off to open the P1 configuration
The cursor will be blinking on On. If not use cursor to highlight ON and press [ENTER]. The cursor will move to second line (TYPE), on first icon. Since you want to do a scatter PLOT that is the one to choose. Highlight it and press ENTER then move cursor with Down arrow to move to Xlist
If your data is in L1 and L2 Xlist and Ylist will be already selected. If you have entered your data in some other lists, enter the proper lists (L3,L4, etc.)
e825b96.jpg
DRAWING THE SCATTER PLOT

Now you can press the [GRAPH] function key. Here is what you get
0d9dbd0.jpg

PERFORMING A REGRESSION

Because I chose it so, we will perform a quadratic regression QuadReg
To do so you press [STAT] and use right arrow to select the CALC(ulate) Menu. Type 5:QuadReg

b12881c.jpga7fbc6b.jpg
Command echoes on Main screen as QuadReg with blinking cursor as above on the right.

If you press [ENTER] the calculator will assign L1 to X and L2 to Y by default. If that does not correspond to the problem, you had better change the names of the lists used by entering then explicitly on the command line. Just press [2nd][L1] then [2nd] [L2] to get the following screen
30d1079.jpg
Pressing [ENTER] to execute the command will get you the regression equation and its coefficients but you will not be able to have it graphed on the scatter plot

2757d7c.jpg
The coefficient/factor of determination R2 is displayed if you ran the DiagnosticOn command from the catalog, or as in the newer version of the OS (version 2.53MP) you press [MODE], scroll down to get to the second page of options and selected Stat Diagnostics ON

e380d1f.jpg
Thus to be able to draw the regression curve on the scatter plot, you must save it to a function variable, Y1 for example. You do it with the following command line
0b6bc57.jpg
After you press ENTER you obtain the equation, a,b,c, and R2. By pressing the [GRAPH] function key you get the raw data and the regression on the same screen.

3e957b3.jpg
As you can see both are represented

TRACING THE REGRESSION CURVE
Press Trace and see what you get
e481e00.jpg

As you can see the trace defaults to the scatter plot P1, L1,L2 (see the top left). If you stay on that graph you will on ly trace the actual data points (raw data). The cursor will jump from one point to the next.
To trace the regression curve (the second curve) you must move cursor on it. To do so press the Up and Down arrows. Left and right arrows allow cursor to move along the same curve.
Pressing Down Arrow you move to the regression curve. Notice the equation on the top left corner. The cursor can be displaced anywhere (depending on the resolution of the graph.
ad6b3c2.jpg

If you want Y for a particular value of X, just enter the value of X
Enter an X value. How about 5.55555?
  • bc62328.jpg
Type in the value and press [ENTER] et voil

Sep 01, 2010 | Texas Instruments TI-84 Plus Silver...

2 Answers

I am trying to drive a prediction equation. but the book gives directions to aTI-84 and I have a TI-89. I have these steps "STAT, EDIT, L1, L2,STAT, CALC,LinReg(ax+b), ENTER" I have no clue how to make...


I assume you know how to enter data in your calculator. The keystrokes in the following pertain to TI92/92Plus/ Voyage 200 PLT. The main differences with the TI89/Ti89 Titanium is that the function keys F6,F7,F8 are not accessed directly but by the key sequences [2nd][F1], [2nd][F2], and [2nd][F3] respectively

1. CLEAN THE SLATE (so to speak) and ENTER DATA

In Home folder run F6: NewProb to reset the configuration.
Press Apps, and select 6: data/Matrix editor. Select a new data set
84e1901.jpg

Give it a name: here testing.

2133d3f.jpg

Press OK/ENTER, The data entry screen opens, enter your values.
0ab1602.jpg

When you finish press F2.PlotSetUp.

2. Statistical plot setup and scatter plot drawing

b142867.jpg.

Press F1:define to configure Plot1. Choose Scatter, then choose a mark for the data point. I select 5:Dot. and press [ENTER
0ee40be.jpg

Select the data column X=c1, Y=c2

65437f9.jpg

Press ENTER to save configuration. Press [CTRL] [GRAPH] On my TI92 the CTRL key is the [Diamond] key. On the following graph I changed the mark to a cross to see the data point better. I also played with the window dimension. You can also do that with ZoomStat. The graph remind me of a parabola (I know I chose the exact values)

7de9410.jpg

3. STATISTICAL CALC. AND REGRESSION ANALYSES.

Now we have to find the equation that fits these data best.
You press APPS 6:Data/ Matrix editor but you select current to return to your data set. You are taken to the data entry editor (Figure 3 above). In that screen Press F5:Calc to edit the type of statistics you want

On first line select the type of regression model : Linear Regression, QuadReg quadratic regression (or anything else available) X is from column1, Y is from column 2. Store RegEQ The regression equation in say Y1(x)

7c9f572.jpg

Press ENTER to save to get the Regression Equation. Here it is
As you can see I cheated: a perfect parabola. R^2 =1.

c46b604.jpg

And here the best fit represented on same graph as the statistical data

7097bac.jpg

Usually you have to try different regression models, until you find the one that fits best the experimental data.

Jul 26, 2010 | Texas Instruments TI-89 Calculator

1 Answer

How do u store linreg(ax+b)as y1 on ur graphic calculater


When you press [STAT] and right Arrow to highlight CALC you see two linear regression model [4:LinReg(ax+b)] and [8:LinReg(a +bx)]
If you select [4: ...] the command echoes on main calculator screen as LinReg(ax+b) and a blinking cursor
If you press [ENTER] you will get your equation, a, b, and r^2 if DiagnosticsOn command has been executed before. However you will not be able to see the line of best fit on top of the raw data scatter plot.

To save the equation of best fit in a function variable, ex Y1, you complete the command as follows
LinReg(ax+b) [VARS][=>][Y-VARS][1:Function][1:Y1]
The Y1 variable will appear on main calculator screen, and you have
LinReg(ax+b) Y1
Press [ENTER]
Screen display the equation, its parameter and its correlation coefficients (if so configured).
Press [GRAPH] to draw the line of best fit on top of the scatter plot.

Here are two screen captures to show you the equation and the line of best fit.
a696143.jpg 754dc8f.jpg

As you can see from the value of r^2, and the graph, a linear regression does not seem good.

Feb 01, 2010 | Texas Instruments TI-84 Plus Calculator

2 Answers

I own a TI-84 Plus (silver edition). Does this calculator have formulas built in for the least squares line so I might enter the data to get the values for b and m? If so will it give me the correlation...


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 SetUpEditor 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 the X values in L1 and the Y values in L2 (see picture 1)
894afd6.jpg

To obtain the statistical results
  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 (with you data).
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. Some of the values your are looking for are among the result. NOW it is you mission to identify what you need (I chewed all the work for you).
However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

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. A linear regression it will be.

  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [4:LinReg (ax+b)
  3. The command LinReg(ax+b) 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 LinReg(ax+b) 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 LinReg(ax+b) Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results.
2083b74.jpg
The slope is a and the y-intercept is b. 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 the raw data on the 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] to open plot1 configuration screen
  3. Use arrow to highlight On
  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 is your two graphs: the raw data scatter plot and the line of best fit on the same screen
ef0f885.jpg

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

Jan 28, 2010 | Texas Instruments TI-84 Plus Silver...

1 Answer

You are given the following data. x y 2 16 3 11 4 12 5 15 5 11 7 8 7 11 Find: - SS(x) - SS(y) - SS(xy) - The linear correlation coefficient, r - The slope b1 - The y-intercept, b0 - The equation of the...


OK, you convinced me to do your homework for you.

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 SetUpEditor 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 the X values in L1 and the Y values in L2 (see picture 1)
894afd6.jpg

To obtain the statistical results
  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 (with you data).
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. Some of the values your are looking for are among the result. NOW it is you mission to identify what you need (I chewed all the work for you).
However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

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. A linear regression it will be.

  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [4:LinReg (ax+b)
  3. The command LinReg(ax+b) 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 LinReg(ax+b) 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 LinReg(ax+b) Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results.
2083b74.jpg
The slope is a and the y-intercept is b. 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 the raw data on the 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] to open plot1 configuration screen
  3. Use arrow to highlight On
  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 is your two graphs: the raw data scatter plot and the line of best fit on the same screen
ef0f885.jpg

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

N

Jan 21, 2010 | Texas Instruments TI-83 Plus Calculator

1 Answer

How do I use stat plot to graph a set of points?


Hello,
1.Press [MODE], scroll to set Function graphing mode.
2.Press [STAT] [5:SetUpEditor], command is pasted in home screen. Press [ENTER]. Screen displays Done. This clears old values in lists

3. Press [STAT][1:Edit] to enter data.
Press [ENTER] after each number. Cursor moves to next row. After finishing the data of Listt L1, use arrow right and UP to the head of list L2. Enter the values in list L2. Press Enter after last element.

4. Press [Y=] to display Y= editor. Clear function Y1 and all functions or remove highlight from the = in Y2, Y3, etc.
5.Press [2nd][STATPLOT]1 to select 1:Plot1

9d0ac15.jpg
The blinking cursor on ON means graph will be drawn. Type chosen is Scatter plot. Mark chosen is a dot.

Press [ZOOM][9:ZoomStat]
30b32c1.jpg
If you think that the curve look like a straight line you can try to do a linear regression.
Press [STAT] Arrow right to highlight [CALC]
Select [4: LinReg(ax+b)]

ccb85ed.jpg

LinReg(ax+b) echoes on run screen. Press [2nd] L1 Press comma, Press [2nd] L2 press comma Press [VARS] Arrow right to select [Y:VARs][1:Function] [ENTER][1:Y1]

68a28f1.jpgENTER
ff52832.jpg
That is the equation for the linear regression. As you see eqaution has been saved in Y1. Press [GRAPH] to get the data and the regression curve drawn on same graph.
aafb6d8.jpg

Hope it helps.


Oct 04, 2009 | Texas Instruments TI-84 Plus Calculator

1 Answer

Linreg


enter your data into L1 as x-coordinates and L2 as y-coordinates at (STAT) + (EDIT) and then turn on your StatPlot. Finally, press (STAT) ->(CALC) -> (4)LinReg(ax+b) and (L1) (,) (L2) (Y1)
nb: Y1 could be find from (VARS) -> (Y-VARS)->(1:Function...)

Apr 25, 2008 | Texas Instruments TI-84 Plus Calculator

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