Sure, when the ball gets compressed, the air pressure increases. This will help drive the ball up again.
The pressure from the air inside of it
Yes. A full basketball with medium to high pressure will clearly bounce higher than a flat basketball with low pressure.
Because the heat causes the air inside the basketball to expand, which increases the pressure in the ball.
when more pressure is applied to a basketball the ball bounces higher. your strength matters. if your strong, you throw the ball on the ground with all your might it will go very high. air inside the ball also matters. if 3/4 of the ball or less is full the ball will barely bounce. in fact there are chances it will not bounce at all no matter how strong you are. you need to make sure that the ball is full of air if you want it to bounce
the number of molecules changes
If you mean OUTSIDE the basketball, then no. If you mean INSIDE the basketball, then yes.
yes. higher pressure = better bounce
The temperature of a room will effect the amount a ball will rebound (bounce) off the floor, off a backboard or rim. If a basketball is filled with air to the regulation pressure and then it is moved to a room with a higher temperature, the ball will soon start to bounce more. Alternatively if you move it a cooler room it will bounce less. This is because: Pressure = Volume x Temperature. As the temperature rises (assuming there is no leak in the ball to allow the volume of air to escape) the pressure on the inside of the ball will increase, this will increase the bounce of the ball. If, instead of the temperature rising, it decreases the pressure on the inside of the ball will go down and the bounciness of the ball will go down as well.
As air fills the basketball, the pressure expands outward to make the outside of the ball feel harder. The valve on the outside of the ball allows the pump to put air in prevents air from escaping.