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Keywords: nonlinear regression, linearizing transformation

The observed responses are Geiger counter counts (times 10^{-4}) used to
measure the amount of radioactively tagged sulfate drug in the blood of a baboon named
Brunhilda after an injection of the drug.

Variable | Description | ||

Hours | Time in hours since injection | ||

Sulfate | Geiger counter counts × 10^{-4} |
||

Data File (tab-delimited text file)

Jennrich, R. I., and Bright, P. B. (1976). Fitting systems of linear differential
equations using computer generated exact derivatives. Technometrics 18,
385-392. |

Jennrich, R. I. (1995). An Introduction to Computational Statistics.
Prentice-Hall, Englewood Cliffs, New Jersey. Section 8.2.1. |

- The sulfate decay curve is not well fitted by simple exponential decay, Sulfate = a
exp(-b Hours). The model Suflate = a Hours
^{b}is not bad, as the plot shows. - Successive observations will be positively correlated.
- In this case the counts arrive according to a Poisson process. One could obtain a goodness of fit test for the fitted curve by comparing the errors to Poisson variation.

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