Given the following chart of data:
which represents duration metrics gathered at absolute times, I am trying to determine when/if any of the values exhibit a jump in durations. In the example chart, the trend of data appears to hover around the 1.4 second mark, while later in the chart, at a particular moment, the data hovers under 4 seconds.
Given a collection of data points similar to the one that produced this chart, is there a statistical function that can find the significant breakpoints in the data? I am a statistics n00b, but doing some research has led me into piecewise regression, but I do not understand it well enough to determine if it is the appropriate route.
Thanks for the advice.