A recently derived tabletability equation mathematically describes tablet tensile strength as a function of compaction pressure. In this work, further analysis of the tabletability equation reveals that the normalized slope at the inflection point correlates well with powder plasticity, indicating its potential use as a powder plasticity parameter. Additionally, we explore applications of the tabletability equation in quantifying errors caused by a tensile strength measurement method that disregards out-of-die elastic recovery for assessing tabletability. Finally, we show that a generalized form of the tabletability equation can be used to model other parameters, such as constrained modulus, Young's modulus, and elastic recovery, as a function of compaction pressure. Future studies investigating powder compaction may find these derived properties advantageous.