A mediation analysis of the role of total free fatty acids on pertinence of gut microbiota composition and cognitive function in late life depression

Table 3 Regression analysis between variables with LLD

Regression equation		Global fit index			Significance of regression coefficient
Outcome variable	Predictor variable	R	R²	F	β	t	P
Model 1
Total FFAs	Akkermansia	0.638	0.407	18.527	-0.638	-4.304	0.000
MoCA	Total FFAs	0.753	0.567	35.417	-0.753	-5.951	0.000
MoCA	Akkermansia	0.694	0.481	25.059	0.694	5.006	0.000
MoCA	Total FFAs	0.803	0.644	23.529	-0.524	-3.448	0.002
MoCA	Akkermansia	0.803	0.644	23.529	0.360	2.367	0.026
Model 2
Total FFAs	Akkermansia	0.663	0.440	4.718	-0.553	-3.155	0.004
MoCA	Total FFAs	0.795	0.632	10.302	-0.652	-4.689	0.000
MoCA	Akkermansia	0.756	0.572	8.009	0.604	3.939	0.001
MoCA	Total FFAs	0.834	0.695	10.504	-0.470	-3.057	0.006
MoCA	Akkermansia	0.834	0.695	10.504	0.343	2.189	0.039

The relative abundance of Akkermansia was log-transformed as Log Akkermansia
Model 1: unadjusted
Model 2: Adjusted for age, sex, education, BMI, Hypertension, diabetes, smoking, drinking
β = standardized regression coefficient
Abbreviations: MoCA Montreal Cognitive Assessment, FFAs Free fatty acids, LLD Late Life Depression

ISSN: 1476-511X