For each of the following features, pick what might be the best encoding for linear classification, among the choices provided. In each part below, you should assume that the dataset has several other features. The questions mention what we're trying to predict, but we're really just asking about the input encoding here. The point of this question is to think about alternatives; there are several options, many not mentioned here. A person's weight (in k g kg) for predicting life expectancy (e.g., live for longer than 50 years vs. live for less than 50 years). Assume there is also a real-valued feature in the dataset encoding height in meters that we would like to use later on.

(a) A real-valued feature: weight in kg.

(b) A standardized real-valued feature.

(c) 3 (one-hot) features for categories (< 40 kg, 40-80 kg, >80 kg).

Provide a valid explanation for the answer.