The mediating effects of needs satisfaction on the relationship between teacher support and student engagement with generative artificial intelligence (GenAI) chatbots from a self-determination theory (SDT) perspective

Table 3 Factor loadings and correlation matrix for all variables

Variables	Factor loading	CR	1	2	3	4	5	6
1 Teacher support	0.80 (0.77-0.82)	0.84	0.80
2 Needs satisfaction	0.71 (0.67-0.73)	0.75	0.55**	0.71
3 Behavioral engagement	0.68 (0.59-0.80)	0.78	0.45**	0.46**	0.68
4 Emotional engagement	0.75 (0.73-0.77)	0.80	0.45**	0.56**	0.56**	0.75
5 Cognitive engagement	0.68 (0.64-0.73)	0.77	0.43**	0.43**	0.47**	0.44**	0.68
6 Agentic engagement	0.73 (0.65-0.78)	0.77	0.45**	0.46**	0.60**	0.51**	0.57**	0.73