Table 3 Relation between MVPA and executive function performance (Hypothesis 2) with possible moderating effect of hyperactive-impulsive behavior (Hypothesis 3).

	Model 1			Model 2			Model 3
	Est	CI	p	Est	CI	p	Est	CI	p
Intercept	60.59	52.71–68.47	< 0.001	61.06	53.15–68.97	< 0.001	60.92	52.95–68.89	< 0.001
MVPA [in %]	− 0.55	− 1.07 to − 0.03	0.038	− 0.60	− 1.12 to − 0.07	0.027	− 0.65	− 1.21 to − 0.09	0.023
Age	0.70	0.48–0.93	< 0.001	0.68	0.46–0.91	< 0.001	0.71	0.48–0.94	< 0.001
Gender (female)	0.93	− 2.74 to 4.60	0.614	0.47	− 3.28 to 4.22	0.801	0.45	− 3.42 to 4.33	0.815
Body Mass Index	− 0.72	− 1.92 to 0.47	0.230	− 0.59	− 1.80 to 0.62	0.335	− 0.54	− 1.76 to 0.69	0.383
Level of parental education	2.40	0.62–4.17	0.009	2.33	0.55–4.10	0.011	2.39	0.59–4.20	0.010
Hyperactivity/impulsivity				− 2.17	− 6.00 to 1.66	0.261	− 1.74	− 5.82 to 2.33	0.396
MVPA X hyperactivity/impulsivity							0.33	− 1.07 to 1.73	0.638
N	65			65			64
R²	0.583			0.592			0.602
Adjusted R²	0.548			0.550			0.552

Executive Function Performance is operationalized as the overall accuracy score in the EF Touch test battery; MVPA = moderate-to-vigorous physical activity; age was calculated in months; MVPA X Hyperactivity/Impulsivity = interaction between MVPA and hyperactive-impulsive behavior; Hyperactive-impulsive behavior was assessed through a parental questionnaire.
Significant values are in bold.

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