Linear Regression
When a set of standards are used to obtain a working curve, the data can be used to predict a straight line that will aid us in determining the analyte value in the unknown (sample) measurement.
The equation for the line is
and the data, in the form of pairs, (xi,yi), comes from a parent population distributed as
Assuming 1) that all the error is in the y parameter, and 2) that the errors, e.g.,
s, are the same for each measurement. Notice that m is the parent population parameter equivalent to m, and b is that of b.Linear Regression Formulas
Defining
The regression results for the slope and intercept are
Defining
the parameter certainty (variance) are
This page was created by Professor Stephen Bialkowski, Utah State University.
Monday, August 28, 2006