Yes, this is because when the tennis ball is in a heated environment warm air enters through the ball and because the temperature gets higher, the tennis ball would get bigger. When the tennis ball is bigger it would bounce higher.
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According to an article on the "Tennis Server" (commercial) website (refer to the link, below), the fabric or cover of a tennis ball can affect the ball's bounce in a number of ways, including by the thickness of the cover, its density (i.e., at the molecular level), its resistance to air and the ground, etc. Over a short period of time of normal use, the cover of a tennis ball will degrade to the point where it no longer bounces to an acceptable level. That is why some amateur and all professional tennis players change to new balls at certain intervals during a match.
The elasticity of the material that the Basketball is made of will effect the strength of the bounce. The material's elasticity is the ability of the material to go back to it's original shape after being squashed, which happens when you bounce it. So when you bounce the basketball the material is squashed, the elasticity will force the ball back up by trying to go back to it's original shape, therefore creating the bounce.