**Question
****1.**

The dataset
discoveries found in the R
base package lists the numbers of "great" inventions and scientific discoveries
in each year from 1860 to 1959 (use "help(discoveries)"
to get more information about the data set). Has the discovery rate remained
constant over time?

**Question 2.**

The
data was collected in a salmonella reverse mutagenicity assay. The predictor
is the dose level of quinoline and the response is the numbers of revertant
colonies of TA98 Salmonella observed on each of three replicate plates. Show
that a Poisson GLM is inadequate and that some overdispersion must be allowed
for. Do not forget to check out other reasons for a high deviance.

**Question 3.**

The
data was collected from subjects in Denmark. Build a Poisson model to
describe how marital status (i.e., single, married, or divorced) changes with
age, taking care to give an understandable interpretation of the important
parameter estimates. Under your model, predict the probability that a Dane, aged
55, is divorced.

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