he Motion Picture Distributors Association of Australia collects yearly data on gross box office takings of the films in Australia. Data is provided here for the years 1990-2004. (Unfortunately more recent data is not readily available.) Is the highest box office takings for a film related to the number of films screened in Australia that year? Year No. of films screened Highest box office ($ million)
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The Motion Picture Distributors Association of Australia collects yearly data on gross box office takings of the films in Australia. Data is provided here for the years 1990-2004. (Unfortunately more recent data is not readily available.) Is the highest box office takings for a film related to the number of films screened in Australia that year?
| Year | No. of films screened | Highest box office ($ million) |
| 1990 | 252 | 26.1 |
| 1991 | 240 | 19.22 |
| 1992 | 229 | 18.73 |
| 1993 | 259 | 31.74 |
| 1994 | 252 | 24.65 |
| 1995 | 253 | 17.93 |
| 1996 | 281 | 29.29 |
| 1997 | 285 | 22.7 |
| 1998 | 273 | 47.33 |
| 1999 | 255 | 38.72 |
| 2000 | 250 | 30.72 |
| 2001 | 245 | 32.05 |
| 2002 | 258 | 33.81 |
| 2003 | 268 | 37.14 |
| 2004 | 318 | 50.35 |
1. Produce a scatterplot of the relevant data. Comment on the appropriateness of analysing this data using a linear regression model.
2. Use the statistics from a
3. Provide an approximate 90% prediction interval for the highest box office takings for a film in Australia when there are 290 films screened that year.
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