Analyzing Environmental Data
Chapter One
Linear regression
Considerable effort in the environmental sciences is directed at predicting an environmental
or ecological response from a collection of other variables. That is, an
observed response variable, Y, is recorded alongside one or more predictor variables,
and these latter quantities are used to describe the deterministic aspects of Y. If we
denote the predictor variables as [x.sub.1], [x.sub.2], ... , [x.sub.p], it is
natural to model the deterministic aspects of the response via some function, say, g([x.sub.1],
[x.sub.2], ... , [x.sub.p]; ?), where ? = [[?.sub.0] [?.sub.1] ... [?.sub.p]].sup.T] is a
column vector of p + 1 unknown parameters. (A vector is an array of numbers arranged as a row or
column. The superscript T indicates transposition of the ... read full excerpt from Analyzing Environmental Data ebook
