Simulate or Predict? What a Model Is For

The viewer can (1) say the difference between simulating and predicting with a model, (2) read y = G(q)u + H(q)e and name each part, (3) write v = He as the convolution Σ h(k)e(t−k) and explain it as "echoes of past kicks", (4) state and justify the two assumptions: stability Σ|h| < ∞ and monic h(0) = 1.