Analysis

Graphs


A good graph should have a title, and labels and units on both the x and the y axes. The scales of each axis should allow the data to fit nicely into the graph. If there is a clear trend in the data, you should include a “best-fit line”, a straight or curved line to best fit the data. If the original graph is not a straight line, the data may be manipulated to produce a straight-line graph. This is often useful if the slope and/or intercepts have meaning.

The following example is a good series of graphs used to present the results of an investigation. Notice that the first graph does not give a linear relationship, so the data was manipulated (log of each axis was taken) to give a straight line fit with a slope and intercept which are meaningful.

Text Box:      Figure 6: Energy of ball vs average diameter of crater with a fitted exponential curve

Text Box: A log(diameter) vs log(energy) was graphed because it was predicted that they will have a linear relationship. The derivation of the linear equation is shown below.       Therefore the slope of a log(diameter) vs log(energy) graph signifies the power n while the y-intercept signifies the log10 value of the constant k         Figure 7: Log10(diameter) vs Log10(Energy) graph with a best linear fit


Here is an example of a good graph with the important aspects pointed out.

 

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