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Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
197Regression
can be treated by linear regression after substituting X
2
for X and using it in Equation 6.79. This is a
special case of polynomial regression explained later in this chapter.
However, often we need to use a nonlinear equation relating Y to X of the general form
YfXp
= (,) (6.82)
where
f () is a function
p are parameters
For example, an exponential model with parameters k and Y
0
of the form is a good explanatory
model for light attenuation
YY kX
=−
0
exp( ) (6.83)
known as Beer–Lambert law. Here, k is extinction coefcient and Y
0
is the light just below the sur-
face which is the measure reported at X = 0.
6.3.1 loG transforM
In cases like the one in Equation 6.83, we can transform the nonlinear model into a linear model by
use of l
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Publisher Resources

ISBN: 9781439885017