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Table 4 Stepwise multiple regression

From: Explainable statistical learning in public health for policy development: the case of real-world suicide data

Source Unstan-dardised coefficients Stan-dardised coefficients F/t p 95%-confidence interval for b Correlations Collinearity statistics
b SE β    Lower limit Upper limit r sr sr 2 Tolerance VIF
Model 1     64.07 < 0.001      0.30   
 Constant 1.77 0.07   26.75 < 0.001 1.64 1.91      
 Emergency hospital admissions for intentional self-harm: alla 0.04 0.00 0.55 8.00 < 0.001 0.03 0.05 0.55 0.55 0.55 1.00 1.00
Model 2     17.04 < 0.001      0.07   
 Constant 1.30 0.13   9.92 < 0.001 1.04 1.56      
 Emergency hospital admissions for intentional self-harm: alla 0.03 0.00 0.47 6.93 < 0.001 0.02 0.04 0.55 0.45 0.21 0.92 1.09
 Children leaving careb 0.17 0.04 0.28 4.13 < 0.001 0.09 0.25 0.41 0.27 0.07 0.92 1.09
Model 3     9.09 < 0.001      0.04   
 Constant 1.29 0.13   10.06 < 0.001 1.03 1.54      
 Emergency hospital admissions for intentional self-harm: alla 0.02 0.01 0.36 4.63 < 0.001 0.01 0.03 0.55 0.29 0.09 0.69 1.46
 Children leaving careb 0.21 0.04 0.36 5.07 < 0.001 0.13 0.30 0.41 0.32 0.10 0.79 1.27
 Statutory homelessnessb −0.06 0.02 −0.23 −3.01 .003 −0.09 − 0.02 − 0.30 − 0.19 0.04 0.71 1.41
Model 4     5.98 < 0.001      0.02   
 Constant 1.30 0.13   10.36 < 0.001 1.05 1.55      
 Emergency hospital admissions for intentional self-harm: alla 0.03 0.01 0.40 5.13 < 0.001 0.02 0.04 0.55 0.32 0.10 0.65 1.53
 Children leaving careb 0.26 0.04 0.43 5.69 < 0.001 0.17 0.34 0.41 0.36 0.13 0.68 1.47
 Statutory homelessnessb −0.05 0.02 −0.21 −2.88 .005 −0.09 − 0.02 − 0.30 − 0.18 0.03 0.71 1.41
 Self-reported well-being - low happiness −0.02 0.01 −0.18 −2.44 .016 −0.03 0.00 0.13 −0.15 0.02 0.74 1.34
  1. R2 = 0.44. R2adjusted = 0.42
  2. asquare root-transformed
  3. blog-transformed