guesstimate — to estimate without substantial basis in facts or statistics.
penitent — feeling or expressing sorrow for sin or wrongdoing and disposed to atonement and amendment; repentant; contrite.
Four-or-more syllable rhymes
collectivist — Collectivist means relating to collectivism.
identikit — A picture of a person, especially one sought by the police, reconstructed from typical facial features according to witnesses' descriptions.