To take responsibility is to take power over your life; it is to act as your own advocate, and it's to take the helm of your destiny. When we shirk our responsibility by blaming events or others, we inadvertently give up our power to change.
We are not responsible for our emotions, which flare up spontaneously, but we are responsible for what we do about them. For example, if we find ourselves frequently getting angry, rather than giving in to it, we can choose to study anger management, thereby vastly improving our life.
Similarly, we are not responsible for the negative programming we picked up as a child, but once we reach adulthood, we are responsible for repairing the damage. Also, being responsible means being big enough to admit one's mistakes; simply put, if you mess up, 'fess up.