Case

Main Body

The motion picture industry can be analyzed by reviewing the statistics summary, the outliers, and the correlation between each variable. Table 1 is the statistics summary of variables. The gap between the standard deviations of total gross and opening gross show that the sale of every film vary and also shows that some movies have potential to be popular after the premieres. The range implies how competitive the motion picture industry is. Based on the given summary from Table 1, Calculation 1 and 2 each define five outliers and six outliers respectively, which represent high-performance films. The outliers are Star Wars: Episode III, War of the Worlds, Mr. and Mrs. Smith, Harry Potter and the Goblet of Fire, Batman Begins, and Wedding Crashers. The first five outliers are included in opening gross and total gross; however, Wedding Crashers is in the total gross only. Comparing the outliers from opening gross and total gross could help us find a dark horse.

By looking at the calculation of correlation coefficient, a numerical measure of the strength and direction of a linear relationship between two variables, the correlation between total gross and opening gross is 0.96425267, which means that the relationship is very strong. The linear relationship of Figure 1 shows the blue dots are very close to the line. The closer the dots are to the line, the stronger the correlation is. In Figure 2, the correlation between total gross and number of theaters is 0.70985275. Even though this shows a somewhat strong relation, it does not necessarily infer that movies which are played in more theaters will have a high total gross. The correlation between total gross and weeks in the top 60 is 0.52539406. The blue dots in Figure 3 are not as dense as the blue dots in Figure 1. In this case, it is not that important if the movies are in weeks in top 60 but how they perform during their premiere. The opening gross helps roughly predict how popular the film will be...