It is difficult to definitively answer the question of which fighter jet—the F-16 (above image) or F-15 (below)—would win in a dogfight due to the fact that the two aircraft have such different capabilities. In order to make an educated guess, one should consider the strengths of each aircraft.
The F-15 is considered to have a higher durability and stronger air-to-air combat capabilities than the F-16 due to its heavy armor and upgraded avionics systems. Additionally, the F-15 is generally much faster than the F-16 and is equipped with a radar warning receiver that can detect and warn of enemy aircraft nearby. Furthermore, the F-15 is armed with powerful advanced munitions such as heat-seeking missiles that have a range of several miles.
On the other hand, the F-16 is considered to have better maneuverability and agility than the F-15 due to its lighter airframe and more powerful engine which allows it to make quicker turns in dogfights. Additionally, the F-16 boasts an impressive array of onboard avionics systems which give it an edge in airborne operations. Furthermore, its radar warning system is slightly more advanced than the F-15 and its defensive electronic countermeasures are more comprehensive.
Overall, it is difficult to accurately determine the winner of a dogfight between the F-16 and F-15 as the scenarios and capabilities of each aircraft may vary and be affected by the environment in which they are in.