HP 54710A User's Reference Manual page 73

Acquisition Menu
Interpolate
Interpolate is different from a display feature called connected dots.
Connected dots does a linear interpolation by connecting the data points with
a straight line. Because this is a display phenomenon, connected dots has no
effect on any measurement results. The measurement results are calculated
with the data that is in memory rather than what is on the display. Figure 3-4
shows the same rising edge, except that interpolate is turned off, and
connected dots is turned on.
For the best measurement results, leave interpolation turned on all the time.
Only turn interpolation off when you want to see the actual acquired data
points, or when you want to increase the throughput of the oscilloscope.
Figure 3–4
Connected dots is turned on and interpolation is turned off
3–8