utility max min max max min max min max max min total utility income (USD) housing expediture (%) employment rate (%) life expectancy homicide rate income (USD) housing expediture (%) employment rate (%) life expectancy homicide rate rank Czech Republik 21103 24 72 78.7 0.8 Czech Republik 0.148989556 0 0.7 0.434782609 0.555555556 0.303724107 3 Austria 32544 21 72 81.3 0.4 Austria 0.924860979 0.75 0.7 1 1 0.853296261 2 Germany 33652 20 75 80.7 0.4 Germany 1 1 1 0.869565217 1 0.973913043 1 Poland 18906 23 65 76.7 0.8 Poland 0 0.25 0 0 0.555555556 0.103703704 4 Slovak Republic 20256 24 65 77.6 1.3 Slovak Republic 0.091550251 0 0 0.195652174 0 0.063543835 5 ideal 33652 20 75 81.3 0.4 bazal 18906 24 65 76.7 1.3 weight 0.266666667 0.266666667 0.2 0.2 0.066666667 ##### Sheet/List 2 ##### max min max max min income (USD) housing expediture (%) employment rate (%) life expectancy homicide rate Czech Republik 21103 24 72 78.7 0.8 Austria 32544 21 72 81.3 0.4 Germany 33652 20 75 80.7 0.4 Poland 18906 23 65 76.7 0.8 Slovak Republic 20256 24 65 77.6 1.3 sum of squares 3404648021 2522 24443 31220.52 3.29 length 58349.36179 50.21951812 156.3425726 176.6932936 1.813835715 normalized matrix income (USD) housing expediture (%) employment rate (%) life expectancy homicide rate Czech Republik 0.361666338 0.477901838 0.460527154 0.445404567 0.441054277 Austria 0.55774389 0.418164108 0.460527154 0.460119331 0.220527139 Germany 0.576732958 0.398251531 0.479715785 0.456723616 0.220527139 Poland 0.324013827 0.457989261 0.415753681 0.434085519 0.441054277 Slovak Republic 0.347150327 0.477901838 0.415753681 0.439179091 0.7167132 weight 0.266666667 0.266666667 0.2 0.2 0.066666667 weighted matrix income (USD) housing expediture (%) employment rate (%) life expectancy homicide rate d+ d- index c_i Czech Republik 0.096444357 0.12744049 0.092105431 0.089080913 0.029403618 0.06308583 0.022887774 0.266218616 3 Austria 0.148731704 0.111510429 0.092105431 0.092023866 0.014701809 0.008280461 0.073075785 0.898219723 2 Germany 0.153795455 0.106200408 0.095943157 0.091344723 0.014701809 0.000679143 0.079190667 0.991496876 1 Poland 0.086403687 0.12213047 0.083150736 0.086817104 0.029403618 0.072127088 0.019129037 0.209619211 4 Slovak Republic 0.09257342 0.12744049 0.083150736 0.087835818 0.04778088 0.073991144 0.00625327 0.077927794 5 ideal 0.153795455 0.106200408 0.095943157 0.092023866 0.014701809 bazal 0.086403687 0.12744049 0.083150736 0.086817104 0.04778088