While we cannot draw meaningful correlations between violent crime trends and other factors such as population density, median rent, or race distribution due to the lack of crime data, we can observe some demographic changes. The population density increased slightly from 1,662 people per square mile in 2010 to 1,669 in 2011. Data on median rent and racial distribution are not available for these years, preventing further analysis of potential socioeconomic factors.

Applying predictive models to forecast future violent crime trends is not feasible with the limited data available. The absence of crime data beyond 2011 and the lack of any reported crimes in the available years make it impossible to establish a trend or pattern that could be projected into the future.

In summary, the most important discovery from this limited data set is that Meriden reported no violent crimes in 2010 and 2011, suggesting a potentially safe environment during that period. However, the extremely limited nature of the data prevents drawing broader conclusions about long-term trends or making predictions about future crime rates in the city. To gain a more comprehensive understanding of Meriden's safety and crime trends, a more extensive and up-to-date dataset would be necessary.