(Solved): A logistic regression model was proposed for classifying common brushtail possums into their two r ...

A logistic regression model was proposed for classifying common brushtail possums into their two regions. The outcome variable took value 1 if the possum was from Victoria and 0 otherwise. (a) Write out the form of the model. \( \begin{array}{lcr}\text { log_odds(Victoria) }=\mid & \mid+ & \text { sex_male + } \\ \text { skull_width + } & \text { total_length + } & \text { tail_length }\end{array} \) Also identify which of the variables are positively associated when controlling for other variables. skull_width total_length sex_male tail_length (b) Suppose we see a brushtail possum at a zoo in the US, and a sign says the possum had been captured in the wild in Australia, but it doesn't say which part of Australia. However, the sign does indicate that the possum is female, its skull is about \( 61 \mathrm{~mm} \) wide, its tail is \( 38 \mathrm{~cm} \) long, and its total length is \( 78 \mathrm{~cm} \). What is the reduced model's computed probability that this possum is from Victoria?