Question about Texas Instruments TI-30XA Calculator

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

Posted on Jan 01, 2009

Use the statistics feature called linear regression to find the slope (m) and the intercept (b) then write the equation of the best line as y=mx+b

Mar 01, 2014 | Calculators

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.

On the main screen you see

Complete the command line as follows

You see the statistics including the regression equation.

If you go to

If you have already drawn the

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

Step 0: Press the ON key at the lower left corner of the keyboard to turn the calculator on.

The next 13 steps are at the beginning of Chapter 12 of the guidebook.

The next 13 steps are at the beginning of Chapter 12 of the guidebook.

Sep 05, 2012 | Texas Instruments TI-83 Plus Calculator

May 02, 2012 | Casio FX-9750GPlus Calculator

The general answer is no. However the calculator can be used to find the slope and the y-intercept. You write the formula for the rate of change (a) and use the calculator to calculate it. Then you use the formula to find the y-intercept.

If you have 2 points, you can use the 2 -var statistics program to find a linear regression.

If you have 2 points, you can use the 2 -var statistics program to find a linear regression.

Jul 05, 2011 | Casio FX-115ES Scientific Calculator

Assuming your two point coordinates are of the form (x1, y1) and (x2, y2).

There are two possible methods:

You can use the slope formula which is commonly known as "rise over run." To do this: slope = (y2 - y1) / (x2 - x1) This means that the vertical distance covered by the two points divided by the horizontal distance covered by the two points is equal to the slope.

You can use your calculator's linear regression capabilities:

First step: Press the STAT button (next to the arrow keys toward the top right of your calculator).

Second: Select the first option, Edit...

Third: Under L1, enter your first x value, press enter, enter your second x value, press enter again.

Fourth: Under L2, enter your first y value, press enter, enter your second y value, press enter again.

Fifth: Press the STAT button again. Press the right arrow button to highlight CALC.

Sixth: Select the fourth option LinReg(ax+b).

Seventh: Press 2ND then 1 (L1 should show up on your screen). Then press the comma button (right above the number 7). Press 2ND then 2 (L2 should show up on your screen). Press ENTER.

Eighth: Once you press ENTER, several values will appear. The a value is the slope of the two coordinates.

There are two possible methods:

You can use the slope formula which is commonly known as "rise over run." To do this: slope = (y2 - y1) / (x2 - x1) This means that the vertical distance covered by the two points divided by the horizontal distance covered by the two points is equal to the slope.

You can use your calculator's linear regression capabilities:

First step: Press the STAT button (next to the arrow keys toward the top right of your calculator).

Second: Select the first option, Edit...

Third: Under L1, enter your first x value, press enter, enter your second x value, press enter again.

Fourth: Under L2, enter your first y value, press enter, enter your second y value, press enter again.

Fifth: Press the STAT button again. Press the right arrow button to highlight CALC.

Sixth: Select the fourth option LinReg(ax+b).

Seventh: Press 2ND then 1 (L1 should show up on your screen). Then press the comma button (right above the number 7). Press 2ND then 2 (L2 should show up on your screen). Press ENTER.

Eighth: Once you press ENTER, several values will appear. The a value is the slope of the two coordinates.

Feb 03, 2011 | Texas Instruments TI-84 Plus Silver...

(-19) + 9 + (-3)

Oct 25, 2010 | Casio FX-115ES Scientific Calculator

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

Give it a name: here testing.

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

When you finish press F2.PlotSetUp.

2. Statistical plot setup and scatter plot drawing

.

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

Select the data column X=c1, Y=c2

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)

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)

Press ENTER to save to get the Regression Equation. Here it is

As you can see I cheated: a perfect parabola. R^2 =1.

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

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

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

Give it a name: here testing.

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

When you finish press F2.PlotSetUp.

2. Statistical plot setup and scatter plot drawing

.

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

Select the data column X=c1, Y=c2

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)

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)

Press ENTER to save to get the Regression Equation. Here it is

As you can see I cheated: a perfect parabola. R^2 =1.

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

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

Start by creating the data lists.

CREATE THE X-LIST

Using Tab to move from one line to the next, configure the calculator as seen on the next screen.

And the last line is at the bottom of the next screen capture

The statistical results will hence be displayed in the C[] column.

Use TAb to move focus to OK, and press ENTER.

Here they are.

You can recognize each statistical results, RegEq is y=mx+b. You also have m, b, r^2, and r. The residuals appear on the next row. By highlighting the cell with the {0.,0...0} you can display the hidden values

Here you have all you asked for. But you can go further by drawing the curve.

The regression equation is stored in function f1, so you have to draw the f1 function. .

DRAWING THE REGRESSION CURVE

Press the HOME button

Highlight and select [2:Graphs and Geometry]

At the bottom of the screen there is a command line with f2(x)=

Use the UpArrow to display the f1(x)= equation

Press ENTER to draw the function f1

I think I have to stop here. There is enough material to get you started.

I left for you the part where you draw the data points. read the user manual.

CREATE THE X-LIST

- Press Home.
- Use navigation pad to Highlight [3: Lists and Spreadsheets]
- Press Enter
- A list opens with cursor in Cell A1.
- Use UpArrow to move the cursor to the header of the list and give it a name, say X.
- Press Enter. Cursor moves to Cell A1
- Enter an X-value in each cell and press ENTER to move to next cell:
- Type 1, and press ENTER. Say Yes to overwrite message by pressing OK.
- Enter 2,3,4,5,6,7,8,9,10 (just a bogus sample).

- After typing 10 in cell A10, press ENTER to validate.
- Use the Navigation pad to move cursor to the head of the B column.
- Give it a name , say Y.
- Press ENTER, Cursor moves to cell B1.
- As for X-list, enter the Y values. Here is a sample (-2, -1, 0, 1,2,3,4,5,6,7). After you type value in B1, accept the overwrite message by pressing OK. Type the other values.
- Make sure that the X-List and Y-List have the same number of elements, otherwise you will have a dimension mismatch error.

- While the lidt is still displyed, prress the Menu key
- Highlight [4:Statistics]
- Use Right Arrow to unfold submenu list and select [1:Stat Calculations]
- Use right Arrow to unfold the submenu list and
- Select [3:Linear regression (mx+b)] or [4:linear regression (ax+b)]

Using Tab to move from one line to the next, configure the calculator as seen on the next screen.

And the last line is at the bottom of the next screen capture

The statistical results will hence be displayed in the C[] column.

Use TAb to move focus to OK, and press ENTER.

Here they are.

You can recognize each statistical results, RegEq is y=mx+b. You also have m, b, r^2, and r. The residuals appear on the next row. By highlighting the cell with the {0.,0...0} you can display the hidden values

Here you have all you asked for. But you can go further by drawing the curve.

The regression equation is stored in function f1, so you have to draw the f1 function. .

DRAWING THE REGRESSION CURVE

Press the HOME button

Highlight and select [2:Graphs and Geometry]

At the bottom of the screen there is a command line with f2(x)=

Use the UpArrow to display the f1(x)= equation

Press ENTER to draw the function f1

I think I have to stop here. There is enough material to get you started.

I left for you the part where you draw the data points. read the user manual.

Jan 28, 2010 | Texas Instruments TI-Nspire Graphic...

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

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

D. Enter the data

Press [STAT][1:Edit]

Type in the X values in L1 and the Y values in L2 (see picture 1)

To obtain the statistical results

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. 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.

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.

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

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

N

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

A. To clear old data

- Press [2nd][+] (MEM) to open the memory management screen.
- Press [4:ClrAllLists]
- The command echoes on main screen, press [ENTER] to run it.
- Calculator displays Done.

- Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.

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

- You press [2nd] [0] (CATALOG)
- While the list of commands is displayed, press [X^-1] (D)
- Cursor jumps to first command that starts with D, dayOfWk(
- Press the DownArrow 9 times to reach DiagnosticsOn
- Select it and press [ENTER]
- Command echoes on main calculator screen with blinking cursor
- Press [ENTER] to set the option
- Calculator displays Done.

D. Enter the data

Press [STAT][1:Edit]

Type in the X values in L1 and the Y values in L2 (see picture 1)

To obtain the statistical results

- After you finish entering the data, press [2nd][Quit] to exit StatEditor.
- Press [STAT] and highlight Menu (CALC)
- In the list select [2:2-Var Stats]
- Command echoes on main screen.
- Press [ENTER] to calculate the stats

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. 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.

- Press [STAT] , highlight [CALC]
- In the list of regression models select [4:LinReg (ax+b)
- The command LinReg(ax+b) echoes on main calculator screen.
- 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.
- While LinReg(ax+b) command is still in command line, press the [VARS] key.
- Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
- In the Y function variable list select [1:Y1]
- At the command line, you have LinReg(ax+b) Y1.
- Press [ENTER] to save the equation of best fit in Y1.

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.

- Press [2nd][Y=] (STATPLOT)
- Select [1:Plot1...Off] to open plot1 configuration screen
- Use arrow to highlight On
- Use the down arrow to move cursor to the line Type.
- 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 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

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

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