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weamp;#39;re now beginning a discussion of poisson regression or log linear regression and very similar to with logistic regression weamp;#39;re going to be working on the log scale that is to say weamp;#39;re going to be modeling the log rate at which events occur so weamp;#39;d like to just remind ourselves again of why we work on the log or natural logarithm scale so to do so iamp;#39;m going to do a few demonstrations here iamp;#39;m going to create a vector with some rate ratios in it and letamp;#39;s take a look at those so youamp;#39;ll recall 1 is the null value the rate of disease for exposed and unexposed is the same and weamp;#39;ve talked about in some sense how a rate ratio of 2 and a rate ratio of a half are similar if the rate of disease for the exposed is double that of the unexposed the rate of the unexposed is half of the exposed and similarly a rate ratio of five and one-fifth are very much related as well as 10 and one-tenth so first letamp;#39;s quickly j