Successive Old Faithful Eruption Durations

Because of the observed data, a four group clustering emerges when you plot successive eruption durations, of the famous geyser.  That is, the x axis is the first eruption and y is the next.Successive Old Faithful eruption duration pairs

There appear to be four kinds of eruption pairs: 1. two short eruptions (the bottom-left cluster), 2. a short eruption followed by a long eruption, and the respective opposites (long-long and long-short).

The R code for this, is just a single line:


A line graph shows the state transitions.  Notice that there are no bottom-left to top-right transitions. Curious!

successive old faithful eruption transitions






[UPDATE] We can sample a subset of the Old Faithful eruption data and add arrows from previous to next observation.  Here is the R code:

And here is the plot: