Roughly every 10 years, the American Film Institute selects the top 100 movies of all time. From the last such survey, suppose the top 100 movies are the cases in a study to compare these movies. For each of the following, indicate first whether it can legitimately be considered a variable or not. If it is a variable, classify it as categorical (and if it is binary) or quantitative. If it is not a variable, explain why not. In order to decide whether the variable is legitimate, think about what the cases are and review the definition of a variable outlined in class.

a) Length of the film

b) Whether or not the film occurred after the year 2000.

c) The number of films which were longer than 150 minutes.

d) The type of film (Drama, Comedy, Science Fiction, Action, Documentary, other).

e) The rank of the film in the top 100 list