Relation between EW([O III]). Top left: sSFR. The symbols are colour-coded by E(B − V) from SED fitting. The triangle symbols are upper limits due to low Hβ S/N. The dashed line is the threshold for super-Eddington galaxies (Ferrara 2024). Top right: r_opt. The blue circles are EELGs at intermediate-z (Tang et al. 2022). The horizontal dashed grey line is the median r_opt in CEERS in the same redshift range. The shaded region indicates the 16th–84th percentile range. Bottom left: Σ_SFR. Bottom right: SFR_3 Myr/SFR_100 Myr, as a proxy of the burstiness. The galaxies in the sample are colour-coded by the average SFR in the last 3Myr. The red line traces the median values of burstiness computed in bins of EW, while the shaded region is the 16th-and 84th percentiles. In all panels, green and orange symbols are as in Fig. 3. Open blue circles mark the position of EELGs identified in Sect. 5.2 with evidence of broad [O III], suggesting the presence of stellar outflows.