Non-linear regression. All regression analyses are for finding the relationship between a dependent variable (y) and one or more independent variables (x), by estimating the parameters that define the relationship.
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Log-transform DRun linear regressionObtain D0 and r
Get initial value for r:
Initial value for D0 is obtained with t = 0
W = aLbIn EXCEL:
Log-transform W and LRun linear regressionObtain a and b
Bumann, D., Aksu, S., Wendland, M., Janek, K., Zimny-Arndt, U., Sabarth, N., Meyer, T.F., and Jungblut, P.R., 2002, Proteome analysis of secreted proteins of the gastric pathogen Helicobacter pylori. Infect. Immun. 70: 3396-3403.
What is the functional relationship between the area and the radius? Homework (you do not need to submit): Measure the area A (by counting the squares) and radius r for each circle and estimate the parameters c and d in the equation A = crd by using the three approaches.
What transformation to use?
0.4 (inferred when GE = 0)/ 1 or (inferred when GE is very large)When GE = 8, we have (0.4+8 )/(1+8 ) = 0.78