The following model was constructed to predict the probabili

The following model was constructed to predict the probability of receiving the death penalty (Y = 1 for \"yes\", and Y = 0 for \"no\") based on the gender (G = 1 for \"male\", G = 0 for \"female\") and race (R = 1 for \"black\", R = 0 for \"white\") of the defendant: logit (pi) = -4.2 + 0.6 G + 0.2 R. Calculate the predicted probabilities of receiving the death penalty for each category of defendant. Find the logit model obtained by using G = 0 for \"male\" and G = 1 for \"female\" (and leaving the rest of the categories as is.) Controlling for the defendant\'s gender, what is the odds ratio for the probabilities of having the death penalty between black and white people?

Solution

 The following model was constructed to predict the probability of receiving the death penalty (Y = 1 for \

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