Figure 1. Illustration of a first-order Taylor linearization of a hypothetical population allometric equation for resting energy expenditure (REE):
when
,
and
.
The linearization well approximates expected population REE given total values of body mass in the vicinity of
. Therefore, given ‘noisy’ sample data with mean
, the linear regression model
is an estimate of the first-order Taylor series
for the true population model
.