Question: Suppose you want to develop a model that predicts the gas mileage of a car. The explanatory variables you are going to utilize are x1:

Suppose you want to develop a model that predicts the gas mileage of a car. The explanatory variables you are going to utilize are

x1: city or highway driving

x2: weight of the car

x3: tire pressure

(a) Write a model that utilizes all three explanatory variables in an additive model with linear terms and define any indicator variables.

(b) Suppose you suspect there is interaction between weight and tire pressure. Write a model that incorporates this interaction term into the model from part (a).

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