Umm, if that plane was shot down, you would see a streak of smoke all the way down to the crash site- that picture shows a perfectly clear sky except for the ball of smoke rising from the ground.
One does not need an aviation background to know that a damaged plane trails smoke, and certainly one that was shot down with a missing engine would leave some type of smoke trail.
It is my belief that the passengers struggled in the cockpit, and in the end forced the plane into the ground.