Comparisons of how line width, line intensity, and peak temperature ratios vary with the ELR function. For every column, points are color-coded by the ratio of line widths for N₂H⁺ and HCN, with green indicating N₂H⁺ is the broader line and red indicating HCN is the broader line. Gray points indicate pixels where the S/N of one or both lines is less than three. The black points show the median y axis value in bins of ELR, with the error on the mean shown as a vertical bar. Left: Ratio of line widths for N₂H⁺ and HCN with respect to the ELR function. In general, this ratio has a flat trend with ELR, indicating that the central AGN regions do not pick out distinct regions where the broadening of these two lines differ. However, in the center of the galaxy where ELR is high, HCN is always slightly broader than N₂H⁺. Middle: Similar plot but with the ratio of integrated intensities on the y axis (the main method for determining line ratios in this work). As ELR increases the ratio of integrated intensities drops as HCN outshines N₂H⁺. Importantly this trend is not entirely the result of HCN broadening compared to N₂H⁺, as many red points (indicating a low ratio of line widths) are within the star-forming regime where ELR < 0.5. Right: Ratio of peak temperatures of these lines with respect to the ELR function. Peak temperature should be less impacted by line broadening, yet a clear trend of a decreasing ratio with increasing ELR persists.