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Table 3 Linear regressions that predict physical activity from traditional proxies for physicial activity (lnGDP, clemency, greenery, walkability, and landmarks), and from our street entropy metric. Z-scored transformed predictors are noted with ‘z’, and significant predictors with p values < 0.05 are marked in bold. The best predictive model (\(M_{IG+E+W+L}\)) suggests that both street entropy and the interaction between lnGDP and clemency are good predictors of physical activity

From: Imagine a Walkable City: Physical activity and urban imageability across 19 major cities

Predictor

β

std. error

p-value

\(\boldsymbol{M_{lG+C}}\): \(\boldsymbol{\mathit{Adj} R^{2} = 0.14}\), Durbin-Watson = 0.77, AIC = 54.51

Intercept

4.86

11.87

0.68

lnGDP

−0.41

0.85

0.63

Clemency

−0.04

0.12

0.7

lnGDPxClemency

−0.74

0.65

0.27

\(\boldsymbol{M_{lG+C+EU}}\): \(\boldsymbol{\mathit{Adj} R^{2} = 0.26}\), Durbin-Watson = 0.88, AIC = 52.29

Intercept

−2.47

11.68

0.83

lnGDP

0.11

0.83

0.89

Clemency

−0.04

0.11

0.72

lnGDPxClemency

−0.57

0.61

0.36

EU

1.09

0.58

0.08

\(\boldsymbol{M_{lG+C+E+G}}\): \(\boldsymbol{\mathit{Adj} R^{2} = 0.37}\), Durbin-Watson = 2.33, AIC = 50.24

Intercept

12.05

11.37

0.31

lnGDP

−0.93

0.81

0.27

Clemency

0.01

0.11

0.89

lnGDPxClemency

−1.33

0.62

0.05

z-street Entropy

0.64

0.22

0.01

z-Greenery

−1.20

3.11

0.7

lnGDPxz-Greenery

0.09

0.24

0.71

\(\boldsymbol{M_{lG+C+E}}\): \(\boldsymbol{\mathit{Adj} R^{2} = 0.46}\), Durbin-Watson = 1.32, AIC = 46.55

Intercept

10.17

9.61

0.31

lnGDP

−0.79

0.68

0.26

Clemency

0.004

0.09

0.96

lnGDP×Clemency

−1.26

0.54

0.03

z-street Entropy

0.61

0.19

0.00

\(\boldsymbol{M_{lG+E+W+L}}\): \(\boldsymbol{\mathit{Adj} R^{2} = 0.52}\), Durbin-Watson = 1.19, AIC = 44.69

Intercept

10.17

9.61

0.31

lnGDP

−0.58

0.36

0.13

lnGDP×Clemency

−0.97

0.37

0.02

z-street Entropy

0.57

0.18

0.00

Walkability

1.60

1.87

0.40

Landmarks

−5.72

5.36

0.30