Regression quasi linear

Regression analysis by means of linear or quasi-linear models (Parczewski [1981], Singer and Danzer [1984], Parczewski et al. [1986]). 

A quasi-linearized regression is made for the experimental data with Eq. (5.6), which yields... 

Figure 4 shows that after the initial 10-20% of the droplet lifetime, the droplet surface area appears to regress quite linearly with time. Hence if one is only interested in approximate estimates for the droplet size, then overall quasi-steadiness can be considered to be attained in about 20% of the droplet lifetime. However, if detailed droplet temperature variation is needed, then one would consider that imsteadiness prevails throughout the droplet lifetime. 

FI G U RE 7.2 Quasi-linear regression of zirconia sensor corresponding to the Nemst equation. 

FIGURE 7.3 Segments selection from the equality condition for the lengths of experimental quasi-linear regression of the zirconia sensor. 

In general, a linear model is naturally assumed to be justified. If tests [for coefficients of determination, goodness of fit (GOF) and lack of fit (LOF) see below] show this to be improbable, a nonlinear calibration must be selected, in the simplest ca.se by using quasi-linear models (consideration of higher powers of X polynomials), or piecewise linear calibration can be performed [22]. (A survey of various basic regression models can be found in [23]). 

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