I'm not too sure about the answer myself, but I'll take a crack at it. My understanding is that temperature increases the kinetic energy of air particles (molecules) in the ball (e.g. on a hot day a balloon expands. Likewise, on a cold winter day, the balloon tends to shrink a lot quicker). When "excited" (through increase in temperature), particles tend to speed up, and bounces against the inner wall of the ball. This results in an overall increase in pressure inside the ball, which thus results in a higher bounce (e.g. a soccer ball pumped fully bounces higher than a partially deflated soccer ball).
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