What is the primary reason generalized linear models (GLMs) were developed?
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Concept Check: Linear Model and Generalized Linear Model Which one of the following data modeling scenarios require one to strictly use a generalized linear model over a Gaussian linear model? (Choose all that apply.) Note: While it is true that one can use a Gaussian linear model to fit any data (without paying attention to whether it is appropriate or not), in this problem we should use a GLM when it is more appropriate under a given scenario. We observe data Yi ∈ {0, 1, ..., ni} as a function of Xi's that take on integers ni > 0 and we wish to model the proportions Yi/ni. We observe Yi ∈ R that we know are non-linearly related to the explanatory variables Xi. The dependent variable Y > 0 has a discrete distribution whose expectation we wish to relate to the explanatory variable X.
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