attach(swiss)
bs.out2<-lm(Fertility ~., swiss)
step(bs.out2,direction = "forward")
## Start:  AIC=190.69
## Fertility ~ Agriculture + Examination + Education + Catholic + 
##     Infant.Mortality
## 
## Call:
## lm(formula = Fertility ~ Agriculture + Examination + Education + 
##     Catholic + Infant.Mortality, data = swiss)
## 
## Coefficients:
##      (Intercept)       Agriculture       Examination         Education  
##          66.9152           -0.1721           -0.2580           -0.8709  
##         Catholic  Infant.Mortality  
##           0.1041            1.0770
step(bs.out2,direction = "both")
## Start:  AIC=190.69
## Fertility ~ Agriculture + Examination + Education + Catholic + 
##     Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## - Examination       1     53.03 2158.1 189.86
## <none>                          2105.0 190.69
## - Agriculture       1    307.72 2412.8 195.10
## - Infant.Mortality  1    408.75 2513.8 197.03
## - Catholic          1    447.71 2552.8 197.75
## - Education         1   1162.56 3267.6 209.36
## 
## Step:  AIC=189.86
## Fertility ~ Agriculture + Education + Catholic + Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## + Examination       1     53.03 2105.0 190.69
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Agriculture + Education + Catholic + 
##     Infant.Mortality, data = swiss)
## 
## Coefficients:
##      (Intercept)       Agriculture         Education          Catholic  
##          62.1013           -0.1546           -0.9803            0.1247  
## Infant.Mortality  
##           1.0784
step(bs.out2,direction = "backward")
## Start:  AIC=190.69
## Fertility ~ Agriculture + Examination + Education + Catholic + 
##     Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## - Examination       1     53.03 2158.1 189.86
## <none>                          2105.0 190.69
## - Agriculture       1    307.72 2412.8 195.10
## - Infant.Mortality  1    408.75 2513.8 197.03
## - Catholic          1    447.71 2552.8 197.75
## - Education         1   1162.56 3267.6 209.36
## 
## Step:  AIC=189.86
## Fertility ~ Agriculture + Education + Catholic + Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Agriculture + Education + Catholic + 
##     Infant.Mortality, data = swiss)
## 
## Coefficients:
##      (Intercept)       Agriculture         Education          Catholic  
##          62.1013           -0.1546           -0.9803            0.1247  
## Infant.Mortality  
##           1.0784
bs.out3<-lm(Fertility ~Education+Catholic, swiss)
step(bs.out3,direction = "forward")
## Start:  AIC=202.18
## Fertility ~ Education + Catholic
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic, data = swiss)
## 
## Coefficients:
## (Intercept)    Education     Catholic  
##     74.2337      -0.7883       0.1109
step(bs.out3,direction = "both")
## Start:  AIC=202.18
## Fertility ~ Education + Catholic
## 
##             Df Sum of Sq    RSS    AIC
## <none>                   3054.2 202.18
## - Catholic   1    961.07 4015.2 213.04
## - Education  1   2580.50 5634.7 228.97
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic, data = swiss)
## 
## Coefficients:
## (Intercept)    Education     Catholic  
##     74.2337      -0.7883       0.1109
step(bs.out3,direction = "backward")
## Start:  AIC=202.18
## Fertility ~ Education + Catholic
## 
##             Df Sum of Sq    RSS    AIC
## <none>                   3054.2 202.18
## - Catholic   1    961.07 4015.2 213.04
## - Education  1   2580.50 5634.7 228.97
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic, data = swiss)
## 
## Coefficients:
## (Intercept)    Education     Catholic  
##     74.2337      -0.7883       0.1109
bs.out4<-lm(Fertility ~Education+Catholic+Infant.Mortality, swiss)
step(bs.out4,direction = "forward")
## Start:  AIC=193.29
## Fertility ~ Education + Catholic + Infant.Mortality
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality, 
##     data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##         48.67707          -0.75925           0.09607           1.29615
step(bs.out4,direction = "both")
## Start:  AIC=193.29
## Fertility ~ Education + Catholic + Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2422.2 193.29
## - Infant.Mortality  1    631.92 3054.2 202.18
## - Catholic          1    701.74 3124.0 203.25
## - Education         1   2380.38 4802.6 223.46
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality, 
##     data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##         48.67707          -0.75925           0.09607           1.29615
step(bs.out4,direction = "backward")
## Start:  AIC=193.29
## Fertility ~ Education + Catholic + Infant.Mortality
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2422.2 193.29
## - Infant.Mortality  1    631.92 3054.2 202.18
## - Catholic          1    701.74 3124.0 203.25
## - Education         1   2380.38 4802.6 223.46
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality, 
##     data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##         48.67707          -0.75925           0.09607           1.29615
bs.out5<-lm(Fertility ~Education+Catholic+Infant.Mortality+Agriculture, swiss)
step(bs.out5,direction = "forward")
## Start:  AIC=189.86
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          62.1013           -0.9803            0.1247            1.0784  
##      Agriculture  
##          -0.1546
step(bs.out5,direction = "both")
## Start:  AIC=189.86
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          62.1013           -0.9803            0.1247            1.0784  
##      Agriculture  
##          -0.1546
step(bs.out5,direction = "backward")
## Start:  AIC=189.86
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          62.1013           -0.9803            0.1247            1.0784  
##      Agriculture  
##          -0.1546
bs.out6<-lm(Fertility ~Education+Catholic+Infant.Mortality+Agriculture+Examination, swiss)
step(bs.out6,direction = "forward")
## Start:  AIC=190.69
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture + 
##     Examination
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture + Examination, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          66.9152           -0.8709            0.1041            1.0770  
##      Agriculture       Examination  
##          -0.1721           -0.2580
step(bs.out6,direction = "both")
## Start:  AIC=190.69
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture + 
##     Examination
## 
##                    Df Sum of Sq    RSS    AIC
## - Examination       1     53.03 2158.1 189.86
## <none>                          2105.0 190.69
## - Agriculture       1    307.72 2412.8 195.10
## - Infant.Mortality  1    408.75 2513.8 197.03
## - Catholic          1    447.71 2552.8 197.75
## - Education         1   1162.56 3267.6 209.36
## 
## Step:  AIC=189.86
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## + Examination       1     53.03 2105.0 190.69
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          62.1013           -0.9803            0.1247            1.0784  
##      Agriculture  
##          -0.1546
step(bs.out6,direction = "backward")
## Start:  AIC=190.69
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture + 
##     Examination
## 
##                    Df Sum of Sq    RSS    AIC
## - Examination       1     53.03 2158.1 189.86
## <none>                          2105.0 190.69
## - Agriculture       1    307.72 2412.8 195.10
## - Infant.Mortality  1    408.75 2513.8 197.03
## - Catholic          1    447.71 2552.8 197.75
## - Education         1   1162.56 3267.6 209.36
## 
## Step:  AIC=189.86
## Fertility ~ Education + Catholic + Infant.Mortality + Agriculture
## 
##                    Df Sum of Sq    RSS    AIC
## <none>                          2158.1 189.86
## - Agriculture       1    264.18 2422.2 193.29
## - Infant.Mortality  1    409.81 2567.9 196.03
## - Catholic          1    956.57 3114.6 205.10
## - Education         1   2249.97 4408.0 221.43
## 
## Call:
## lm(formula = Fertility ~ Education + Catholic + Infant.Mortality + 
##     Agriculture, data = swiss)
## 
## Coefficients:
##      (Intercept)         Education          Catholic  Infant.Mortality  
##          62.1013           -0.9803            0.1247            1.0784  
##      Agriculture  
##          -0.1546