What determines the point focused on when doing transform.LookAt?

For many of my models, the "center" point is at the very bottom of the model so that if I do transform.LookAt, it looks at their feet. This also screws up targeting because sometimes the foot is under the ground and targeting fails. What determines where this point is on the model? I don't even know what that point is called on the model. I'd really like to alter that point if it is possible.

Thanks

 

Its meshes' pivot. You can change it in 3d modeling software like 3ds max.

 

Also, you could add an empty GameObject as a child to your model, locate in the position which you'd like to look at, and use it as target for LookAt.