'erratically-rejected' is a compound word formed from 'erratically' and 'rejected'. 'Erratically' originates from the Latin word 'erraticus', meaning 'wandering', and 'rejected' comes from the Latin 'reicere', meaning 'to throw back'.

'Erratically' evolved from the Latin 'erraticus' through Old French 'erratique', and 'rejected' evolved from the Latin 'reicere' through Old French 'rejecter'.

Initially, 'erratically' meant 'wandering' and 'rejected' meant 'to throw back'. Over time, 'erratically' evolved to mean 'unpredictably', and 'rejected' retained its meaning of 'dismissed'.