Introduction to Introduction to Sensory Data Analysis - Camo

5. PLS regression / a) Theory
Regression methods
Find a linear relationship between Y (variables to
predict) and the x‐variables (variables explaining the
data)
Y=B0+B1X1+ B2X2+…+ BNXN+ F
Y
Fitted value
With PLS: the new variables are called
“latent variables” (linear combination
from the former variables)
Y=B 0 +B 1 LV 1 + B 2 LV 2 +…+ B N LV N + F
LV i = a 1 X 1 + a 2 X 2 +…+ +a p X p
f
Observation
X