Quadratic least squares extrapolations

Figure 3. Computer plot obtained by isochronous interpolation of the experimental light-scattering data (O) of HEC during endocellulase attack. The Langrangian interpolation functions are given by the horizontal curves ana the isochronous interpolated Kc/Re values by A. The quadratic least squares extrapolations to zero angle ( ) are given by the...

Figure 1. Computer plot of the light-scattering analysis of HEC before enaocellulase hydrolysis. (O) Experimental Kc/R values, (M) extrapolated values (by quadratic least squares analysis). The inverse of the Kc/Re intercept, Mw, equals 1,285,000.

The interpolated values of Kc/Re at constant time are calculated or read from the graph, and then the extrapolation of the isochronous Kc/Re values to zero angle is made in the same manner as mentioned for the Zimm plot, by using quadratic least squares regression analysis. 

The initial CO population distribution was evaluated by extrapolating the N /Nq ratios to the appearance time of absorption (Iq). The absorption data obtained over the first several microseconds of the reaction were first fitted to a quadratic function of t by means of a least-squares method, and the N /Nq ratios were then evaluated at for all v s from these best fitted equations. This extrapolation was carried out to eliminate the effect of... 

Some researchers have reported techniques involving least square fitting with experimental data and extrapolation method in order to calculate permittivity from the experimental plots of effective permittivity vs. solid volume fraction. Nelson [80] has mentioned some of these approaches involving complex permittivity in case of granular materials. These include a quadratic least square fit used by Kent [81] and linear extrapolation... 

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