Table 3 Standardized model parameter estimates, stratified by sex, predicting the autoregressive and cross-lagged associations between mean daily moderate-to-vigorous physical activity, and anxiety and depression symptom scores, among adolescents who participated in the 2017–18 and 2018–19 school years of the COMPASS Study in Alberta, British Columbia, Ontario, and Quebec

 β₁ (MVPA)

0.53

0.51, 0.54

< 0.001

0.53

0.51, 0.55

< 0.001

0.52

0.50, 0.55

< 0.001

 β₂ (GAD-7)

0.47

0.45, 0.49

< 0.001

0.48

0.45, 0.50

< 0.001

0.43

0.39, 0.46

< 0.001

 β₃ (CESD-R-10)

0.47

0.45, 0.49

< 0.001

0.50

0.47, 0.53

< 0.001

0.41

0.38, 0.44

< 0.001

 β₄ (MVPA → GAD-7)

0.00

− 0.01, 0.01

0.739

0.03

0.02, 0.05

< 0.001

− 0.03

−0.05, − 0.01

0.002

 β₅ (MVPA → CESD-R-10)

−0.02

− 0.03, − 0.01

0.002

0.01

0.00, 0.03

0.073

−0.05

− 0.07, − 0.04

< 0.001

 β₆ (GAD-7 → MVPA)

−0.01

− 0.03, 0.01

0.499

0.00

−0.03, 0.03

0.944

−0.02

− 0.05, 0.02

0.317

 β₇ (GAD-7 → CESD-R-10)

0.18

0.16, 0.20

< 0.001

0.15

0.12, 0.18

< 0.001

0.21

0.17, 0.24

< 0.001

 β₈ (CESD-R-10 → MVPA)

0.01

−0.02, 0.03

0.640

0.01

−0.02, 0.04

0.507

0.00

−0.03, 0.03

0.881

 β₉ (CESD-R-10 → GAD-7)

0.18

0.16, 0.20

< 0.001

0.18

0.15, 0.20

< 0.001

0.18

0.15, 0.21

< 0.001