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Statistical Glossary

Log-log Plot:

A log-log plot represents observed units described by two variables, say x and y , as a scatter graph . In a log-log plot, the two axes display the logarithm of values of the variables, not the values themselves.

If the relationship between x and y is described by a power law,


y = xa;

then the (x,y) points on the log-log plot form a line with the slope equal to a .

Log-log plots are widely used to represent data that are expected to be scale-invariant (or "fractal") - because fractal data usually follow a power law.

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