In order to determine if films with Cage are getting worse, comparisons of his movies over time will be necessary. A lot of this has already been touched on in previous sections, but it will be done with a bit more rigour here. There are several ways of judging a movie, and using only one of them might not give the most reliable results. So to properly judge film performance over time, a way of comparing all of them at once has been devised. This is called *The Cage Coefficient*.

The Cage Coefficient is a weighted average of various key performance indicators after they have been normalised in order to show how that indicator has performed over time relative to itself. The indicators and their respective weights are:

- Normalised Rotten Tomatoes Rating (0.175 Weighting)
- Normalised IMDB Rating (0.175 Weighting)
- Normalised Total IMDB Ratings (0.325 Weighting)
- Normalised Film Profit (0.325 Weighting)

This provides an indicator of film performance as the aggregate of what people think of it, how many people have seen it and whether it was a financial success. It is presented below:

The value of the Cage Coefficient can then be used in a Linear Regression with the following equation:

This will be used to test two hypotheses:

- Have Nicolas Cage Movies been getting worse since he first started acting?
- Have Nicolas Cage Movies been getting worse since his initial breakthrough in the mid 1990’s?

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