Serial NMR experiments are commonly applied in variable-temperature studies, reaction monitoring, and other tasks. The resonance frequencies often shift linearly over the series, and the shift rates help to characterize the studied system. They can be determined using a classical fitting of peak positions or a more advanced method of Radon transform. In my talk I will discuss the optimal procedure for data collection i.e., whether to measure more scans at the expense of the number of spectra or vice versa and compare two methods (fitting vs. Radon) in that context. The talk is based on joint work with Agustin Romero and Krzysztof Kazimierczuk.