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Graphical Analysis Tutorial Version GA 3.2

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Page 1: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Graphical AnalysisTutorial

Version GA 3.2

Page 2: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Entering Data

Enter your independent (x) data and dependent (y) data into the columns shownBy double-clicking on the “X” and the “Y”, you can enter the label and units – see next page

Page 3: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Entering Labels and UnitsWhen you double click on the X and Y, you will get the box shown to the left. In the “Name” field, type the label, such as Distance. In the “Units” field, type the units, such as meters or just m. Click DONE when finished. DO NOT ENTER THE UNITS IN THE SAME FIELD AS THE LABEL!

Page 4: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Completed Data SetThe data set to the left shows correct labels and units and some entered data

Page 5: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Graph OptionsThis graph does not show a trend line for the entered data. In science, we deal with trends, so we would like the program to make a best-fit line of this data. To do this, double-click on the graph OR click OPTIONS and then GRAPH OPTIONS from the top navigation bar.

Page 6: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Graph Options - continuedThis screen gives a lot of options for the graph.Turn ON Point ProtectorsTurn OFF Connect PointsType a title for the graph in the Title field. Use the y vs x format for the title; in this case it would be Distance vs Time. You can also change the style of the grid, but the default is fine.

Page 7: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Graph Options - continued

Graph with Point Protectors ON and line connecting points OFF. Notice the title is shown as well. Now we will make a best-fit straight line (regression line)

by clicking on R= on the top navigation bar.

Page 8: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Regression Line

Notice the best fit line in the form of y=mx + b. You are given the slope of the line (m), the y-intercept (b) and the correlation coefficient. A coefficient of 1.0000 means that all the points lie EXACTLY on the line.

Page 9: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Scaling OptionsDouble click on the graph and open the AXES OPTIONS tab.

You can change the scaling of the graph here. Right now it is autoscaled larger; you can also manually scale or just autoscale, which usually works best.

Page 10: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Autoscale

The graph is now set for just AUTOSCALE – notice it is much easier to read.

Page 11: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Curve Fit

Notice that this data does not look like a best-fit straight line. Therefore, a curve fit must be tried. This is the f(x) button on the top navigation bar.

Page 12: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Curve Fit - continuedThis is the box that pops up when you press the f(x) button. You can try different curves to see if they fit the data by pressing the Try Fit button. When you like one of the curve fits, click OK.

Page 13: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Curve Fit - continued

This is what the fit looks like after you choose OK. You will also get a statistics box with the equation of the line. You should always make sure, whether a

regression line or curve fit, that ALL the points have been selected to be part of the line. If some points are omitted, click at the origin and drag into the upper

right hand corner to select all data points, and then try the fit again.

Page 14: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Additional Data SetsTo put more than one line on a graph, choose DATA and then NEW DATA SET from the navigation bar. Enter data into the second set.

Page 15: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Display of New Data Set

To get New Data Set to display on the graph, double-click on the graph and choose the AXES OPTIONS tab.

Click the + sign in front of Data Set 2

Page 16: Graphical Analysis Tutorial · Graphical Analysis Tutorial Version GA 3.2. Entering Data Enter your independent (x) data and dependent (y) data into the columns shown By double-clicking

Display of New Data Set

Check the second box so that it matches the checked box for Data Set 1.

Now both lines will show up on the graph.