7Generalized Linear Models
In Chapter 4 we considered regression models where the response variable 
depends linearly on several explanatory variables 
In this case, 
was a quantitative variable; that is, it could take on any real value, and the regressors – which could be quantitative or qualitative – affected only its mean.
In this chapter we shall consider more general situations in which the regressors affect the distribution function of 
However, to retain parsimony, it is assumed that this distribution depends on them only through a linear combination 
where the 
s are unknown.
We shall first consider the situation when 
is a 0–1 variable.
7.1 Binary response regression
Let 
be a 0–1 ...
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