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How to model real life data?

I need to be able to find out what polynomial has a graph that passes through given points, find what linear model fits data best, estimate data from the linear model, find what quadratic model fits data best, use quadratic model to estimate production, find what cubic model best fits data, and estimate production from the cubic model.

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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)
.

Posted on Dec 11, 2013

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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

How to graph 5th degree polynomial TI 84


The TI-84 does not have a built-in quintic fit.

The most common scheme for fitting a model to data is the least squares. You'll find several programs to calculate this here.

May 24, 2012 | Texas Instruments TI-84 Plus Calculator

1 Answer

Need instruction how to solve ploynomials/trinomials


You can do it two ways.
Graphically:
Open the graph utility, enter a function y1= expression(x) where expression(x) is the polynomial. Graph the function y1(x). Play with the window dimensions to display the interesting part of the graph. You can then see if there are any zeros (roots).
While the graph is displayed, press SHIFT F5 (G-Solv). Press F1:Root to look for a root. Read the value of the root at the bottom of the screen (to the left).

Solve utility
Open the QEquation solver, select F2:polynomial, or F3: solver.
The polynomial solve can solve polynomial equations up to degree 6.
The solve solve polynomial and any other type of non algebraic equations

Mar 16, 2012 | Casio CFX 9850GA Plus Calculator

2 Answers

How to find the polynomial roots in TI-83 Plus


One way is to use the Polynomial Root Finder and Simultaneous Equation Solver app.

Press the APPS key, then select PlySmlt2 and press ENTER. Press ENTER to get past the opening screen, then select "POLY ROOT FINDER" and press ENTER. Select the order of the polynomial and other settings as desired. Press F5 (the GRAPH key) to go to the next screen. Enter the polynomial coefficients, then press F5 to solve. The next screen will show you the roots (unless you selected real roots and the polynomial doesn't have any real roots).

If you don't have the app installed, you can download it from
http://education.ti.com/educationportal/sites/US/productDetail/us_poly_83_84.html

Jan 20, 2011 | Texas Instruments TI-83 Plus Calculator

1 Answer

How do i do linear regression on this calculator


I am sorry but I will have to assume that you know how to enter the data.

Once you enter your data [MENU][STAT], 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^2]. Press [F6] to scroll right to access the others: [Logarithmic:LOG], [Exponential :EXP], [Power :Pwr] and [Sinusoidal: Sin]

After you select a model and press [EXE], the screen displays the equation and its various coefficients. 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.

PS If you do not know how to enter data post a comment to this effect and I will see what I can do to help you.

Sep 02, 2010 | Casio FX-9860G Graphic Calculator

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 to calculate the coefficient of linear correlation using casio cfx-9850 Ga plus


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].

  1. After you finish entering all the data
  2. Press [F1:Graph], select Gph1, Gph2, or Gph3.
  3. Once the graph of the experimental data is drawn, you will have access to the diverse regression models.
  4. Your choices are
  5. [X:Linear]
  6. [Med-Med],
  7. [Quadratic :X^2]
  8. [Cubic;X^3]
  9. [Quartic: X^4].
  10. Press [F6] to scroll right to access the others
  11. [Logarithmic:LOG],
  12. [Exponential :EXP],
  13. [Power :Pwr] and
  14. [Sinusoidal: Sin]
After you select a model and press [EXE], the screen displays the equation and its various coefficients, a correlation coefficient if it has meaning, etc.
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

1 Answer

Polynomial function


Hi there,

Say you have an equation x = 2y.

On a graph, you plot the points representing the values that fit into the equation.

X Y
2 1
4 2
6 3
etc.

And to throw a curve in there:
X Y
-2 -1
-4 -2
-6 -3

If have further questions repost, I'll be around for a while.

Hope it helps
Mike

Nov 24, 2009 | The Learning Company Achieve! Math &...

1 Answer

Functions?


Hello,
I am afraid I am missing something here. You can start with the expression of a function and have it graphed on a graphing calculator.
Or you can enter the experimental data, represent them on a graphing calculator and ask the calculator to find the curve that fits the data best, and once that curve is found to give you the equation.
However your calculator does not have the graphing capabilities. All you can do is enter the data and ask the calculator to perform a regression to obtain the expression of the function that fits best.

The available options for the calculator are accessible by pressing [MODE][3:Stat] and
2. A+BX linear
3: _+cX^2 quadratic
4: ln X logarithmic
5: e^X exponential
6:A*B^X power
7: A*X^B Polynomial
8: 1/X

Hope it helps.

Apr 14, 2009 | Casio fx-300ES Calculator

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