What aspects of a model rocket affect the distance it flies?

Question

The rocket is assembled by taking a water bottle, and inserting a straw in the open part of the bottle. then that is held in by modeling clay, which keeps air from going in or out. There are 2 paper loops (one at the top, and one at the bottom) attached to the straw. to make it fly, hold the rocket with 2 hands and sqeeze it quickly.

so how do these aspects affect the distance it flies?

for example:
Does the size of the bottle make it go faster or slower?

What about the diameter of the straw, how does that affect it?

Answer 1

Size of the motor, weight of the rocket, aerodynamics, wind...

Answer 2

The weight of the empty rocket and the fuel carried, the smoothness of the surface and its shape, the fins for stability, the type of fuel and oxidant, the shape of the engine and the exhaust etc.

After reading your additional details:

Trial and error is the best method.