Table 3:

Stepwise linear regression results for multivariate functional principal component modes in the sagittal (sag), coronal (cor), and transverse (tran) planes, age, gender, and BMI as independent variables and mean T_1ρ relaxation times in the femoral cartilage (A), T₂ relaxation times in the femoral cartilage (B), T_1ρ relaxation times in the acetabular cartilage (C), and T₂ relaxation times in the acetabular cartilage (D) as dependent variables.

Table 3A: Femoral cartilage T1ρ regression model
	Estimate	SE	tStat	P value
(Intercept)	26.982	2.038	13.243	< 0.001
tran_PC3	-0.020	0.008	-2.458	0.015
tran_PC5	0.034	0.017	2.016	0.046
BMI	0.400	0.083	4.814	< 0.001
Model Summary:
Degrees of freedom: 140, RMSE: 3.258, Adjusted R2: 0.169, F-statistic: 10.670, P-value: < 0.001

Table 3B: Femoral cartilage T2 regression model
	Estimate	SE	tStat	P value
(Intercept)	20.880	2.900	7.200	< 0.001
tran_PC2	0.026	0.009	2.831	0.005
BMI	0.495	0.118	4.182	< 0.001
Model Summary:
Degrees of freedom: 141, RMSE: 4.657, Adjusted R2: 0.124, F-statistic: 11.090, P-value: < 0.001

Table 3C: Acetabular cartilage T1ρ regression model
	Estimate	SE	tStat	P value
(Intercept)	24.273	1.984	12.232	< 0.001
sag_PC1	0.008	0.003	2.516	0.013
BMI	0.506	0.081	6.244	< 0.001
Model Summary:
Degrees of freedom: 141, RMSE: 3.222, Adjusted R2: 0.243, F-statistic: 23.910, P-value: < 0.001

Table 3D: Acetabular cartilage T2 regression model
	Estimate	SE	tStat	P value
(Intercept)	18.778	2.749	6.830	< 0.001
BMI	0.549	0.112	4.895	< 0.001
Model Summary:
Degrees of freedom: 142, RMSE: 4.475, Adjusted R2: 0.138, F-statistic: 23.960, P-value: < 0.001

SE = standard error; tStat = t statistic; RMSE = root mean squared error.