Question
Suppose you are working for an animal shelter and you are interested in predicting which animals are adopted the most quickly. You run a logistic
Suppose you are working for an animal shelter and you are interested in predicting which animals are adopted the most quickly. You run a logistic regression where the dependent variable is a dummy variable for whether the animal is adopted within the first week of arriving at the shelter (1 = adopted within first week, 0 = not adopted within first week), and the independent variables are the animals age (in months) and a dummy variable for whether the animal is a cat or dog (1 = cat, 0 = dog). You obtain the following regression coefficients: 1.5 (intercept), 0.5 (age), 2 (cat/dog dummy). Based on this regression model, what of the following expressions gives the correct probability that an 8-month old dog is adopted?
A. exp(7.5)/(exp(7.5) + exp(0))
B. exp(5.5)/(exp(5.5) + exp(0))
C. exp(7.5)/(exp(0))
D. exp(5.5)/(exp(5.5) + 0)
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