I measured the transfer functions in the delay line cables, and then calculated the time delay from that.

The first cable had a time delay of 1272 ns and the second had a time delay of 1264 ns. 

Below are the plots I created to calculate this. There does seem to be a pattern in the residual plots however, which was not expected. 

The R-Square parameter was very close to 1 for both fits, indicating that the fit was good.