the fitting of certain curves that can be reduced to straight lines by transformation of the Y or X variable, fitting a polynomial curve in X which is often a good approximation to a more complex curve, and the asymptotic curve and

logistic curve which require more complex procedures.

e) Technically, the

logistic curve is a representation of the natural logarithm of the odds of something occurring.

This involved generating up to 1000

logistic curve fits by varying annual estimates.

Another reason for considering a

logistic curve follows from a rather subtle pattern in the data.

Schwartz and Zanobetti (2000) also present an argument as to why the concentration-response relationship may look like a

logistic curve.

The modified exponential curve shows a very small mean error, but a large, mean absolute percentage error, and the

logistic curve shows just the opposite.

They compared their empirical data with a theoretical

logistic curve derived in 1931 by Hiroshi Tamiya, who similarly investigated a literature growth curve for Aspergillus.

The

logistic curve was fitted, minimizing the negative value of the log-likelihood using a binomial function (Brouwer & Griffiths 2005):

5) cycle and S-curve equal--reach a turning-point, from where GDP starts to grow rapidly and becomes detached from the S-curve, the gap between the

logistic curve signals that in the economic environment forms the bubble effect, in other words, GDP is close to a maximum investment capacity, which in the country's economy can be effectively absorbed and reached maximal saturation limits: invested capital (GDP) reached the limits, economic growth stopped.

Logistic regression is a generalized linear model used for binomial regression for the purposes of predicting the probability of occurrence of an event by fitting data to a

logistic curve.

Viruses initially spread in a manner oftentimes consistent with a graphical relationship called a

logistic curve (Figure 1).

m]95 are the logistic parameters for the growth curve being the length at which the growth increment is 50% and 95% of the maximum, respectively, and Max[DELTA]L is the maximum growth increment for the inverse

logistic curve describing abalone growth.