Deterministic Trends Deterministic Trends 1/8 Deterministic Trends 2/8 yt = f (t) Deterministic Trends 3/8 yt = f (t) Linear function of t: yt = α + βt + ut Deterministic Trends 3/8 yt = f (t) Linear function of t: yt = α + βt + ut Quadratic function of t: yt = α + βt + γt 2 + ut Deterministic Trends 3/8 yt = f (t) Linear function of t: yt = α + βt + ut Quadratic function of t: yt = α + βt + γt 2 + ut etc. Deterministic Trends 3/8 Deterministic Trends 4/8 Deterministic Trends 5/8 (a) Linear trend (b) Quadratic trend Deterministic Trends 6/8 (a) Linear trend (b) Linearly detrended Deterministic Trends 7/8 Further reading: Wooldridge, chapter 10, sections 5a - 5c Deterministic Trends 8/8