That's not what is most essential to intelligence. What is most characteristic of intelligence is intentionality. From there, we can talk about inference, analysis, and so on, which presuppose intentionality. Whereas most animals maintain only a concrete image of the world they encounter, human beings can abstract from the concrete into the general and the universal, so the paradigmatic example of intelligence, as opposed to what may be considered analogues, is human intelligence.
Predictability is effectively a question of practicality. Intelligence is not the ability to predict, but rather, intelligence entails that ability as a consequence of intentionality and reasoning (by sufficiently comprehending the nature of a thing, you can make predictions about how it will behave under certain conditions, something that goes beyond mere cargo cult statistics and enters the realm of reason, which is to say concern for causality).