6
6
III. LEAST-SQUARES FIT OF A LINEAR MODEL
The Origin software includes built-in least-squares fitting routines for several types of functions,
including linear relationships such as that represented by the absorbance vs. concentration data plotted
above. The purpose of this section is to illustrate the use of the linear fitting function and subsequent
plotting of results.
A. Rationale
The absorbance vs. concentration data are expected to follow a linear relationship of the form
A
a bC
= +
(1a)
in which A is absorbance, a and b are the intercept and slope, respectively, and C is concentration. This
expression can be written in the more general form
Y
a bX
= +
(1b)
Either way, the goal of a fitting process is to obtain best-fit values of the intercept, a, and slope, b as well
as other statistical quantities to be discussed in class.
NOTE: Use a different file name, e.g. ORIG1_B, to save modifications made to this plot in subsequent
steps.
B. Fitting process - built-in algorithm
There are different ways to use Origin to do a least-squares fit of a linear model to a data set. One of
the simpler options is illustrated here.
Numerical values of slopes, intercepts etc. will be displayed on the screen below the “
plotting
Dostları ilə paylaş: