Conjectural (adjective)

1. Based on guesswork or conjecture; not based on knowledge or evidence.
2. Having to do with conjecture or the act of conjecture.

Origin:

Late 16th century: from latin conjecturalis, from conjectura "a conjecture", from conicere "to throw together, guess".

Examples:

1. The historian's conjectural reconstruction of the battle was based on fragmentary accounts and limited archaeological evidence.
2. The origins of the painting remain conjectural, as no definitive evidence has been found to support any particular theory.
3. The conjectural explanation for the disappearance of the dinosaurs has been widely discredited by the scientific community.
4. The conjectural reasoning behind the sudden shift in political power was difficult to discern.
5. The conjectural nature of the evidence made it difficult to reach a definitive conclusion.