Not entirely sure what you mean by "responsive", but I assume that it has something to do with the sound produced (sustain, resonance, that sort of thing?). The tension of the strings will have an effect: even if three manufacturers call their strings "Medium" tension (for example), the actual tension amongst them can vary. Also, how your particular guitar responds to the particular strings will also vary, and so one set may be very "responsive" on your instrument, while another may sound duller, and this can be due to numerous factors such as soundboard construction, etc. (some guitars sound better with lower or higher string tensions, because the "right" set will cause the soundboard to vibrate more freely).
p.s. it is "bass", not "base".