Question about Texas Instruments TI-84 Plus Calculator

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Your
question is a very interesting one and I believe people will benefit
from a complete solution to it. So I will provide a solution but I will
apply it to a quadratic regression.

The points I will represent are those on a parabola

L1= {0,1,2,3,4,5,6,7,8,9,10}

L2={0,1,4,9,16,25,36,49,64,81,100}

As
you can see, I am cheating (no experimental points will fit a perfect
parabola) but this will have no incidence on what I am going to show
you.

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.

2. ENTER THE DATA

Press STAT, then under the EDIT menu press [1:Edit]

to open the list editing screen. Ehow do i find and use the regression capabilties - d10bb96.jpgements of the two lists

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 how do i find and use the regression capabilties - d653a12.jpgpress [2nd][Y=1] to get back at the stat plot
screen configuration below

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 how do i find and use the regression capabilties - e825b96.jpgd Ylist will be already
selected. If you have entered your data in some other lists, enter the
proper lists (L3,L4, etc.)

DRAWING THE SCATTER PLOT

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

PERFORMING A REGREhow do i find and use the regression capabilties - a7fbc6b.jpg>

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

Command echoes on Main screen as QuadReg with blinking how do i find and use the regression capabilties - 30d1079.jpgbove 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 how do i find and use the regression capabilties - 2757d7c.jpgen explicitely on the
command line. Just press [2nd][L1] then [2nd] [L2] to get the following
screen

Pressing
[ENTER] to execute the command will get you the regression equation and
its coefficients but you whow do i find and use the regression capabilties - e380d1f.jpgable to have it graphed on the
scatter plot

The
coefficient/factor of determination R2 is displayedhow do i find and use the regression capabilties - 0b6bc57.jpg the
DiagnosticOn command from the catalaog, 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

how do i find and use the regression capabilties - 3e957b3.jpgsrc="http://i.fixya.net/uploads/images/e380d1f.jpg" alt="e380d1f.jpg" class="h_mi" />

Thus
to be able to draw the regression curve on the scatter plot, you must
save it to a function vahow do i find and use the regression capabilties - e481e00.jpgfor example. You do it with the
following command line

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.

As you can see both are represented

TRACING THE REGRESSION CURVE

Press Trace and see what you get

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). Thhow do i find and use the regression capabilties - bc62328.jpgll jump from one point to the next.

To
trace the regression curve (the second curve) you musthow do i find and use the regression capabilties - 7fd58d3.jpgr 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.

If you want Y for a particular value of X, just enter the value of X

Enter an X value. How about 5.55555?

If as I have suggested above, you copied the regression equation to Y1 variable, you can calculate Y-values for any X in the graph domain.

In Main calculator screen type the numerical value of X, say 4.777756, and store it in X-variable

4.777756 [STO>] [X,T,theta,n] [ENTER]

Calculator answers Done

Press [VARS][>][Y-VARS][1:Function...][1:Y1] [ENTER]

The calculator computes the value of Y1 for the entered value of X.

You can also generate a whole table, but you will have less control over the points where Y1 will be calculated.

Posted on Aug 24, 2010

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Posted on Jan 02, 2017

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Jan 05, 2016 | Casio Office Equipment & Supplies

What is the question?

Put your calculator in STAT mode (2-var statistics or regression )

Enter your data in two lists, preferably sorted according to the x-value

Choose a regression model from the ones available and get the calculator to give you the best fit.

However to see which regression model best fits you data you need a graphing calculator to draw the scatter plot, then superpose on the scatter plot the curve of best fit given by the regression model.

Once you accept a model as the most suited one, you can use the equation of the curve to predict a y-value given an x-value (what ever REAL LIFE meaning they might have)

.

Put your calculator in STAT mode (2-var statistics or regression )

Enter your data in two lists, preferably sorted according to the x-value

Choose a regression model from the ones available and get the calculator to give you the best fit.

However to see which regression model best fits you data you need a graphing calculator to draw the scatter plot, then superpose on the scatter plot the curve of best fit given by the regression model.

Once you accept a model as the most suited one, you can use the equation of the curve to predict a y-value given an x-value (what ever REAL LIFE meaning they might have)

.

Dec 11, 2013 | Sentry CA 756 Calculator

May 02, 2012 | Casio FX-9750GPlus Calculator

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.

This is what you see.

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.

If you press F3:X^2, you get the following

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.

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.

This is what you see.

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.

If you press F3:X^2, you get the following

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.

Jul 31, 2011 | Casio FX-9750GPlus Calculator

Here is a great guide on how to do linear regression on the TI-84 :
http://www.mathstore.net/graphing-calculators/TI-84/how-to-linear-regression.php

May 12, 2011 | Texas Instruments TI-84 Plus Calculator

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.

Example: Suppose you are performing a quadratic regression on data stored in L1 and L2.

- From the [Stat][

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

Although the coefficient of correlation is well defined for a few regression models, you do not calculate it directly because your calculator does that for you.

I could just tell you that it is displayed along with the statistical results (equation of best fitting curve, ) but if you do not know how to do that you will just shoot my post. If you know how to do a linear regression, stop right here and ignore what follows.

For those interested: How to do a regression on the calculator

I am sorry but I will have to assume that you know how to enter the data through the [MENU][STAT].

On that same screen, you have a menu option [F6:Draw]. If you select it, the regression curve will be drawn on the same screen as your statistical graph. This allows you to judge if the fit is good. If it is not, you have the option to choose another model.

The other option [F5:Copy] allows you to save the regression equation in the Y1, Y2, etc. variables.

I could just tell you that it is displayed along with the statistical results (equation of best fitting curve, ) but if you do not know how to do that you will just shoot my post. If you know how to do a linear regression, stop right here and ignore what follows.

For those interested: How to do a regression on the calculator

I am sorry but I will have to assume that you know how to enter the data through the [MENU][STAT].

- After you finish entering all the data
- Press [F1:Graph], select Gph1,
Gph2, or Gph3.
- Once the graph of the experimental data is drawn, you
will have access to the diverse regression models.
- Your choices are
- [X:Linear]
- [Med-Med],
- [Quadratic :X^2]
- [Cubic;X^3]
- [Quartic: X^4].
- Press [F6] to scroll right to access the others
- [Logarithmic:LOG],
- [Exponential :EXP],
- [Power :Pwr] and
- [Sinusoidal: Sin]

On that same screen, you have a menu option [F6:Draw]. If you select it, the regression curve will be drawn on the same screen as your statistical graph. This allows you to judge if the fit is good. If it is not, you have the option to choose another model.

The other option [F5:Copy] allows you to save the regression equation in the Y1, Y2, etc. variables.

Jan 03, 2010 | Casio CFX 9850GA Plus Calculator

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][0] (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.

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][0] (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.

Dec 13, 2009 | Texas Instruments TI-84 Plus Silver...

Hi,

It is a model of regression, namely**power regression.** The mathematical expression for it is y=a*b^(x) -----a times b to the power of x. On the calculator, the function returns a, b, and the correlation coefficient r.

Hope that helps.

Thank you for using FixYa.

It is a model of regression, namely

Hope that helps.

Thank you for using FixYa.

Nov 25, 2009 | Texas Instruments TI-84 Plus Calculator

Hello,

You will find it on the same screen where you find the regression equation, the regression coefficients etc. However it is not defined for certain types of regressions.

Hope it helps.

You will find it on the same screen where you find the regression equation, the regression coefficients etc. However it is not defined for certain types of regressions.

Hope it helps.

Sep 26, 2009 | Casio CFX-9850G Plus Calculator

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