ESS210B
Prof. Jin-Yi Yu
Rotation
of Coordinates
qSuppose the Pacific SSTs are described by values at grid points: x1, x2, x3, ...xN. We know that the xi’s are probably correlated with each other.
qNow, we want to determine a new set of independent predictors zi to describe the state of Pacific SST,
which are linear combinations of xi:
qMathematically, we are rotating the old set of variable (x) to a new
set of variable (z)
using a projection matrix (e):
PC
EOF