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This study used the Utrecht Work Engagement Scale for Students, Patient Health Questionnaire\u20109 Items Modified for Adolescents, Generalized Anxiety Disorder\u20107, Adolescent Coping Orientation for Problem Experiences, and Social Support for Children and Adolescents.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>SE had no significant effect on anxiety or depression and vice versa. Coping with stress had a significant positive middle effect on SE (<jats:italic>\u03b2<\/jats:italic> = 0.509, <jats:italic>p<\/jats:italic>\u2009&lt;\u20090.001) and a significant positive weak effect on anxiety (<jats:italic>\u03b2<\/jats:italic>\u2009=\u20090.225, <jats:italic>p<\/jats:italic>\u2009&lt;\u20090.001). However, it did not have a significant effect on depression. Social support had a significant positive weak effect on SE (<jats:italic>\u03b2<\/jats:italic>\u2009=\u20090.175, <jats:italic>p<\/jats:italic>\u2009&lt;\u20090.001). Moreover, it had a significant negative middle effect on anxiety (<jats:italic>\u03b2<\/jats:italic>\u2009=\u2009\u22120.378, <jats:italic>p<\/jats:italic>\u2009&lt;\u20090.001) and a significant negative, weak effect on depression (<jats:italic>\u03b2<\/jats:italic>\u2009=\u2009\u22120.133, <jats:italic>p<\/jats:italic>\u2009&lt;\u20090.01).<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusion<\/jats:title><jats:p>Our study suggested that depression, anxiety, and SE have no relationship, and that strategies of coping with stress predict higher SE but also higher anxiety.<\/jats:p><\/jats:sec>","DOI":"10.1002\/pcn5.70141","type":"journal-article","created":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T00:43:01Z","timestamp":1751416981000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Investigating schoolwork engagement and mental health of children based on structural equation 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