Predicting state homicide rates from two factors: Political sentiment and the state’s total population.
We tried to predict state homicide rates from two factors: how much of the vote went to Donald Trump in 2024, and the state’s total population. The relationship with population is very weak. There’s a slight hint that states with higher Trump vote shares might have higher homicide rates, but this finding is right on the edge of typical “significance” and should be taken with a grain of salt. Overall, these two factors, by themselves, do not explain much of the difference in homicide rates across states.

Regression Statistics
Below is a table of the regression coefficients, their standard errors, t-values, p-values, and 95% confidence intervals:
Term | Estimate | Std. Error | t value | p value | Lower CI | Upper CI |
---|---|---|---|---|---|---|
(Intercept) | ~0.53 | ~2.87 | ~0.19 | 0.853 | ~-5.24 | ~6.31 |
x (Trump %) | ~10.20 | ~5.08 | ~2.01 | 0.051 | ~-0.02 | ~20.42 |
size_values | 5.98e-08 | 6.61e-08 | ~0.90 | 0.371 | -7.34e-08 | 1.93e-07 |
Model Fit Statistics:
- R-squared = ~0.084
- Adjusted R-squared = ~0.044
- F-statistic (df=2,46) = ~2.10 (p = 0.134)
- Number of Observations = 49
Detailed Explanation of the Results
Intercept: The estimated intercept is approximately 0.53, but with a large standard error and a high p-value (0.853). This indicates that if both predictors (Trump vote share and population) were theoretically zero, the predicted homicide rate would be around 0.53 murders per 100k. However, this is not statistically distinguishable from zero.
Share of Trump Vote (x): The coefficient is roughly 10.20 (p = 0.051), which is borderline significant at the 5% level. The positive sign suggests that, when state population is held constant, higher projected Trump vote share is associated with a higher homicide rate. Specifically, for each 1.0 increase in Trump vote share (that is, going from 0% to 100%, which is not realistic but a linear extension), the model predicts an increase of about 10 homicides per 100k. However, it’s important to note that 0.051 is slightly above the traditional 0.05 significance cutoff, so this result is borderline and should be interpreted cautiously.
State Population (size_values): The coefficient is very small (~6.0e-08) and not statistically significant (p = 0.371). This means that once the model takes the share of Trump vote into account, there’s no clear evidence that the total population size by itself helps predict the homicide rate in a linear sense.
Model Fit:
- The R-squared (0.084) and adjusted R-squared (0.044) are relatively low, indicating that only around 8% of the variation in homicide rates is explained by these two predictors.
- The overall F-statistic is not significant at conventional thresholds (p = 0.134), which further suggests caution in drawing strong conclusions from this model.
Interpretation and Caution:
- The data set is relatively small (49 states), and we have an NA for one case.
- High multicollinearity or other issues could be at play (the condition number in the background is quite large), possibly because population can vary widely and might interact with many other state-level factors.
- The borderline p-value for the Trump vote share means the result could go either way with more data or slightly different model specifications.
In summary, with this simple linear model, we do not see strong or definitive evidence that either state population or projected Trump vote share is a powerful linear predictor of homicide rates. There is a weak (borderline) indication that higher Trump share might relate to higher homicide rates, but the effect fails to reach the conventional threshold of statistical significance at the 5% level, and the overall explanatory power of the model is low.