Graphical Analysis for Windows

prepared by Chuck Roser

I. Importing Data from the TI- 82 and TI-83 calculators:

1. Connect the calculator to the computer using the TI-GRAPH LINK cable between the calculator and the COM 1 port on the computer. Be sure the plug is all the way in on the calculator.

2. Start Graphical Analysis by double clicking on the Graphical Analysis for Windows icon and double clicking on the GA icon. Click OK when the Graphical Analysis for Windows screen appears. Click on first entry in the blank column in the data set where you want the imported data.

3. Setup of the TI-82 for data transmission:

a. Press 2nd [LINK]. This will take you to a SEND and RECEIVE menu.

b. Under the Send menu, use the down arrow key on the calculator to move down to [Select All - ] and press [ENTER]. (On the TI-83, arrow down to 4: List

instead and continue.)

c. Use the down arrow key on the calculator to move down to List numbers ( L1,

L2, etc.) that you want to send and press [ENTER] after each list is selected.

This will place a small box by the lists selected.

d. Use the right arrow key to move over to TRANSMIT.

The calculator is ready to transmit the data.

4. Importing the data into Graphical Analysis:

a. Under the File menu, click on IMPORT FROM TI-82/83/85

b. A transmission box will appear. Click on Select Port. Select COM1 and

click OK.

c. Press [ENTER] on the calculator and the data will appear in the data table

on the computer.

5. A graph will be created as soon as two lists of data are imported.

II. Entering and Graphing Data:

1. If you are manually entering data, open Graphical Analysis in the same way as step 2 above.

2. Click in the box beside Row 1 in the X column and type in the X-value of the first data pair. Press [ENTER] which will take you to the Y column in Row 1. Type in the Y-value for the first data pair. Press [ENTER] which takes you to Row 2. Enter the rest of the data in a similar manner. As the data pairs are entered, they will be shown on the graph.

3. If you need to change a value, click on the box containing the data, which will become highlighted, and type in the new value. Press [ENTER] after making the correction.

4. If you do not want the points connected by a line, click in the graph window. Deselect Connecting Line under the Graph menu.

5. Double Click on the X column header. Enter the New Name and the New Units. Set the Dec. Places in the Rounding box to desired value. Click OK. The label and units automatically appear on the graph.

6. Double Click on the Y column header. Enter the New Name and the New Units. Set the Dec. Places in the Rounding box to desired value. Click OK. The label and units automatically appear on the graph.

7. Double Click on the Data Set Title box. A dialog box will appear that will let you enter a new name for the data table. Click OK. This name will now appear on your data set.

8. The graph will be titled with the units on the axes. To have the name of the data set displayed in the upper left corner of the graph, click on the graph window to activate the Graph menu and select Legend under the Graph menu.

9. To create a new column in which data is manually entered, click on the data set. Select New Column under the Data menu. Select Manually Entered. It will allow you to enter a New Column Name and New Column Units. Click OK when you have done this. Enter the data in the column.

10. To create a new column in which data is calculated, click on the data set. Select New Column under the Data menu. Select Calculated. It will allow you to enter a New Column Name and New Column Units and a Formula for the new column. The new formula may be typed in or generated from displayed keypad and the Columns list. Click OK when you have done this.

11. To change the column of data graphed on a given axis, click on the label for that axis. A dialog box will appear that will allow you to select from any of the columns of data. Be sure to select only one box for each axis. Click OK when you have done this.

( This can also be done using the X-Column and Y-Column Options under the Graph menu.)

12. To change the scale on a given axis, click on the label for that axis. A dialog box will appear that will allow you to select from Autoscale from 0, Autoscale, or Manual Scaling entering the limits for the axis. Click OK when you have done this. You can also manually scale the axes by clicking on the number at the end of each axis and typing in a new value. Press [ENTER] after typing in the value.

13. To get a linear regression line on the graph, click and drag over the region of the graph to be analyzed and select Regression under the Analyze menu. The slope, y-intercept, and correlation factor will be displayed. To cut off this display, click on the close box in the regression statistics box.

14. To find the coordinates of each data point, select Examine under the Analyze menu. As you move the cursor, the coordinates of each point will be displayed. Deselect this to turn this feature off.

15. To find the slope of the tangent to the curve at each data point, select Tangent under the Analyze menu. As you move the cursor, the slope of the tangent each point will be displayed. Deselect this to turn this feature off.

16. To display statistics about your data ( mean, standard deviation, minimum, maximum), click and drag over the region of the graph to be analyzed and select Statistics under the Analyze menu. To cut off this display, click on the close box in the statistics information box.

17.To integrate the area under a region of your graph, click and drag over the region of the graph to be analyzed and select Integral under the Analyze menu. The area under the curve will be displayed. To cut off this display, click on the close box in the integral information box.

III. To Plot More Data Sets on the Same Graph:

These instructions assume the X-values from the different data sets are the same.

1. Go to the Data menu and select New Data Set. This will not create a new graph but will graph the new set of data on the same graph. The new data table will have the same label and units as the original data table. Use the bottom scroll bar to move to the right to the new data set.

2. Click on the Data Set window at the top of Data Set 2 and import the data or type in the data from your second experiment in the same manner as you did for the first. You will have to relabel the axes as above and select a different type of point protector for the Y- values for each data set. Changing the label and units on the axes of one data set will change them on all the data sets. Rename the data set to correspond to the second experiment.

3. Click on the graph window. Double click on the label on the Y-axis on the graph. Select each of the Y-axes boxes so both sets of data are displayed. Click OK.

4. Repeat steps 1-3 with other data sets.

IV. Curve Fitting:

1. One way to determine the relationship between two variables is to modify the variables until you get a linear relationship. Another way is to try to fit various functions to your data and see which curve fits best.

2. Automatic Curve Fit under the Analyze menu offers a list of standard functions to try as well as the ability to enter other functions. Select from the stock functions or type in a fucntion and click OK. The trial fit will appear on the graph and the function, constants, exponents, and mean square error will appear below the graph. A low value for the mean square error indicates a good fit. Click on OK-Keep Fit if the fit is fine. The curve will appear on the graph and the function, constants, exponents, and mean square error will appear on the graph. If the fit is not good, click on the button Try New Fit to try other functions.

3. You can try a manual fit to a function which allows you to try different starting values for the constants and exponents in that function. Manual Curve Fit under the Analyze menu offers a list of standard functions Select from the stock functions or type in a fucntion and click OK. Enter starting values for the constants and exponents. A curve will appear that may not pass through the points. Change the constants and exponents to try to get the curve to pass through the points and get a lower mean square error. Click on OK-Keep Fit when the fit is fine.

V. Printing and Saving:

1.To print a graph, click on the graph window. Click on the box in the upper right hand corner, the graph will expand to fill the screen. Go to Print Setup under the File menu. Click on the Setup box and click on Landscape to print the graph down the page. Click on OK to close the two print setup windows. Go to the File menu and select Print and then select Print Whole Screen. Click on the box in the upper right hand corner of the graph again and the graph will return to its original size.

2. To print a data set, click on the data set window. Go to the File menu and select Print then select Print Data Set . Since each data set may contain a large amount of data and will take a large amount of paper to print all the data sets. Print data tables only if you are specifically told to by your instructor.

3. Data can be saved under the File menu. Use Save As under the File menu to save the data your M drive. It will ask you for a name for the file.

VI. Exit the Program:

1. To quit, select Exit under the File menu.