Elasticity (understanding elasticity from stress strain curve)

Hello .. I have problem understanding how to decide which material is more elastic based on stress strain curve.. my understanding is as follows
1)if a material has big youngs modulus.. then it is more stiff

2)a material with a big youngs modulus may be or may not be very elastic (elasticity is independent of youngs modulus.. it only tells how stiff something is)

3)if a material has a very big yield point.. then is it more elastic?? what if a material can deform more (so less youngs modulus) but has lesser yield point.. then is it more elastic??