Final answer:
Brad Bushman and Craig Anderson's research suggests that the correlation between viewing violence and behaving aggressively is substantial and may be compared to the strong and well-established correlation between smoking and cancer.
Step-by-step explanation:
Researchers Brad Bushman and Craig Anderson have investigated the potential effects of media violence on aggression, addressing various aspects of this relationship. The question at hand focuses on comparing the magnitude of different correlations to understand just how strongly viewing violence might be linked to behaving aggressively. It has been noted that this correlation is quite high, and it is compared to other well-known correlations in psychology and health.
One of the referenced relationships is the correlation between smoking and cancer, which is known to be very strong and well-documented. This comparison is used to underscore the potential seriousness of the media violence-aggression correlation. It's important to note that although some studies indicate a causal link between hours of exposure to violent media and aggressive thoughts and behaviors, there is still an ongoing debate and research into the precise nature of this connection.
Including the bystander effect, the original question presents several options for comparisons of correlation. This psychological phenomenon describes the tendency for individuals to be less likely to offer help to a victim when other people are present. However, the bystander effect is not the focus of the correlation mentioned by Anderson and Bushman's research on media violence and aggression.