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In the book I have, the author is demonstrating that some data fits an exponential distribution. So what he does is a linear-log plot of both the exponential distribution and the empirical data, and then overlaps the 2 graphs so show they follow a similar path.

So my question is, what exactly is a linear-log plot, and when/why do you use it?

For exmaple, if I was to show the data fitted an exponential distribution, I would just plot the data and exponetial distribution as they were, and overlap them and show they fit (or don't fit).