Exercise 1

Set working directory, read in the file, load “maps”

setwd("~/Documents/geog6000/lab07")
read.csv("../datafiles/boston6k.csv")
##      ID                    TOWN TOWNNO TRACT       LON      LAT MEDV CMEDV
## 1     1 Boston Allston-Brighton     74     1 -71.13937 42.36245 17.8  17.8
## 2     2 Boston Allston-Brighton     74     2 -71.15855 42.35312 21.7  21.7
## 3     3 Boston Allston-Brighton     74     3 -71.16849 42.35061 22.7  22.7
## 4     4 Boston Allston-Brighton     74     4 -71.15616 42.34382 22.6  22.6
## 5     5 Boston Allston-Brighton     74     5 -71.15581 42.33732 25.0  25.0
## 6     6 Boston Allston-Brighton     74     6 -71.14548 42.35033 19.9  19.9
## 7     7 Boston Allston-Brighton     74     7 -71.13430 42.34912 20.8  20.8
## 8     8 Boston Allston-Brighton     74     8 -71.12496 42.35823 16.8  16.8
## 9     9         Boston Back Bay     75   101 -71.09913 42.35044 21.9  21.9
## 10   10         Boston Back Bay     75   102 -71.09924 42.34456 27.5  27.5
## 11   11         Boston Back Bay     75   104 -71.09024 42.34127 21.9  21.9
## 12   12         Boston Back Bay     75   105 -71.08481 42.34453 23.1  23.1
## 13   13         Boston Back Bay     75   107 -71.07967 42.35060 50.0  50.0
## 14   14         Boston Back Bay     75   108 -71.08310 42.35392 50.0  50.0
## 15   15      Boston Beacon Hill     76   201 -71.07225 42.35809 50.0  50.0
## 16   16      Boston Beacon Hill     76   202 -71.06910 42.36030 50.0  50.0
## 17   17      Boston Beacon Hill     76   203 -71.06674 42.36445 50.0  50.0
## 18   18        Boston North End     77   301 -71.05686 42.36684 13.8  13.8
## 19   19        Boston North End     77   302 -71.05804 42.36443 13.8  13.8
## 20   20      Boston Charlestown     78   401 -71.06069 42.37249 15.0  15.0
## 21   21      Boston Charlestown     78   402 -71.05763 42.37676 13.9  13.9
## 22   22      Boston Charlestown     78   403 -71.06283 42.37804 13.3  13.3
## 23   23      Boston Charlestown     78   404 -71.06667 42.37399 13.1  13.1
## 24   24      Boston Charlestown     78   405 -71.06616 42.37957 10.2  10.2
## 25   25      Boston Charlestown     78   406 -71.07462 42.37968 10.4  10.4
## 26   26      Boston East Boston     79   407 -71.06822 42.38522 10.9  10.9
## 27   27      Boston East Boston     79   501 -71.04006 42.38116 11.3  11.3
## 28   28      Boston East Boston     79   502 -71.03605 42.37771 12.3  12.3
## 29   29      Boston East Boston     79   503 -71.04389 42.37211  8.8   8.8
## 30   30      Boston East Boston     79   504 -71.03852 42.36815  7.2   7.2
## 31   31      Boston East Boston     79   506 -71.03806 42.37191 10.5  10.5
## 32   32      Boston East Boston     79   507 -71.03622 42.37449  7.4   7.4
## 33   33      Boston East Boston     79   508 -71.03272 42.37575 10.2  10.2
## 34   34      Boston East Boston     79   509 -71.02969 42.38224 11.5  11.5
## 35   35      Boston East Boston     79   510 -71.01603 42.38719 15.1  15.1
## 36   36      Boston East Boston     79   511 -71.00145 42.38799 23.2  23.2
## 37   37      Boston East Boston     79   512 -71.01585 42.36271  9.7   9.7
## 38   38     Boston South Boston     80   601 -71.02054 42.33696 13.8  13.8
## 39   39     Boston South Boston     80   602 -71.03358 42.33205 12.7  12.7
## 40   40     Boston South Boston     80   603 -71.03759 42.33310 13.1  13.1
## 41   41     Boston South Boston     80   604 -71.04351 42.33211 12.5  12.5
## 42   42     Boston South Boston     80   605 -71.03874 42.33920  8.5   8.5
## 43   43     Boston South Boston     80   606 -71.03635 42.34966  5.0   5.0
## 44   44     Boston South Boston     80   607 -71.05452 42.33840  6.3   6.3
## 45   45     Boston South Boston     80   608 -71.05419 42.33497  5.6   5.6
## 46   46     Boston South Boston     80   609 -71.05037 42.33562  7.2   7.2
## 47   47     Boston South Boston     80   610 -71.05061 42.33134 12.1  12.1
## 48   48     Boston South Boston     80   612 -71.05575 42.32950  8.3   8.3
## 49   49     Boston South Boston     80   613 -71.05884 42.33309  8.5   8.5
## 50   50     Boston South Boston     80   614 -71.05645 42.34233  5.0   5.0
## 51   51         Boston Downtown     81   702 -71.06473 42.34935 11.9  11.9
## 52   52         Boston Downtown     81   703 -71.07086 42.34969 27.9  27.9
## 53   53         Boston Downtown     81   705 -71.07267 42.34179 17.2  17.2
## 54   54         Boston Downtown     81   706 -71.07612 42.34310 27.5  27.5
## 55   55         Boston Downtown     81   707 -71.07666 42.34583 15.0  15.0
## 56   56         Boston Downtown     81   708 -71.08167 42.34096 17.2  17.2
## 57   57         Boston Downtown     81   709 -71.07881 42.33825 17.9  17.9
## 58   58         Boston Downtown     81   710 -71.07069 42.33604 16.3  16.3
## 59   59          Boston Roxbury     82   801 -71.06989 42.32987  7.0   7.0
## 60   60          Boston Roxbury     82   802 -71.07582 42.32528  7.2   7.2
## 61   61          Boston Roxbury     82   803 -71.07983 42.32722  7.5   7.5
## 62   62          Boston Roxbury     82   805 -71.08363 42.33461 10.4  10.4
## 63   63          Boston Roxbury     82   807 -71.08828 42.33085  8.8   8.8
## 64   64          Boston Roxbury     82   808 -71.09853 42.33343  8.4   8.4
## 65   65          Boston Roxbury     82   809 -71.10238 42.33215 16.7  16.7
## 66   66          Boston Roxbury     82   810 -71.10772 42.33460 14.2  14.2
## 67   67          Boston Roxbury     82   811 -71.10980 42.32809 20.8  20.8
## 68   68          Boston Roxbury     82   812 -71.10478 42.32442 13.4  13.4
## 69   69          Boston Roxbury     82   813 -71.09831 42.31925 11.7  11.7
## 70   70          Boston Roxbury     82   814 -71.09573 42.32817  8.3   8.3
## 71   71          Boston Roxbury     82   815 -71.09350 42.32070 10.2  10.2
## 72   72          Boston Roxbury     82   816 -71.09057 42.32700 10.9  10.9
## 73   73          Boston Roxbury     82   817 -71.08690 42.32245 11.0  11.0
## 74   74          Boston Roxbury     82   818 -71.08080 42.32014  9.5   9.5
## 75   75          Boston Roxbury     82   819 -71.09033 42.31528 14.5  14.5
## 76   76          Boston Roxbury     82   820 -71.08473 42.31347 14.1  14.1
## 77   77          Boston Roxbury     82   821 -71.08774 42.30920 16.1  16.1
## 78   78       Boston Savin Hill     83   901 -71.08234 42.30211 14.3  14.3
## 79   79       Boston Savin Hill     83   902 -71.07959 42.30694 11.7  11.7
## 80   80       Boston Savin Hill     83   903 -71.07707 42.31078 13.4  13.4
## 81   81       Boston Savin Hill     83   904 -71.07613 42.31546  9.6   9.6
## 82   82       Boston Savin Hill     83   905 -71.07421 42.31908  8.7   8.2
## 83   83       Boston Savin Hill     83   906 -71.07285 42.32275  8.4   8.4
## 84   84       Boston Savin Hill     83   907 -71.06191 42.32453 12.8  12.8
## 85   85       Boston Savin Hill     83   908 -71.05564 42.32149 10.5  10.5
## 86   86       Boston Savin Hill     83   910 -71.04994 42.30889 17.1  17.1
## 87   87       Boston Savin Hill     83   911 -71.05636 42.31534 18.4  14.8
## 88   88       Boston Savin Hill     83   912 -71.06275 42.31619 15.4  15.4
## 89   89       Boston Savin Hill     83   913 -71.06727 42.31970 10.8  10.8
## 90   90       Boston Savin Hill     83   914 -71.07037 42.31509 11.8  11.8
## 91   91       Boston Savin Hill     83   915 -71.06506 42.31134 14.9  14.9
## 92   92       Boston Savin Hill     83   916 -71.06149 42.30589 12.6  12.6
## 93   93       Boston Savin Hill     83   917 -71.06648 42.30356 14.1  14.1
## 94   94       Boston Savin Hill     83   918 -71.07127 42.30712 13.0  13.0
## 95   95       Boston Savin Hill     83   919 -71.07591 42.30053 13.4  13.4
## 96   96       Boston Savin Hill     83   920 -71.06784 42.29964 15.2  15.2
## 97   97       Boston Savin Hill     83   921 -71.05377 42.29842 16.1  16.1
## 98   98       Boston Savin Hill     83   922 -71.06677 42.29483 17.8  17.8
## 99   99       Boston Savin Hill     83   923 -71.07547 42.29379 14.9  14.4
## 100 100       Boston Savin Hill     83   924 -71.08553 42.29591 14.1  14.1
## 101 101       Boston Dorchester     84  1001 -71.08666 42.28983 12.7  12.7
## 102 102       Boston Dorchester     84  1002 -71.08629 42.28467 13.5  13.5
## 103 103       Boston Dorchester     84  1003 -71.08025 42.28261 14.9  14.9
## 104 104       Boston Dorchester     84  1004 -71.07114 42.28177 20.0  20.0
## 105 105       Boston Dorchester     84  1005 -71.07130 42.28821 16.4  16.4
## 106 106       Boston Dorchester     84  1006 -71.04731 42.29137 17.7  17.7
## 107 107       Boston Dorchester     84  1007 -71.04937 42.28232 19.5  19.5
## 108 108       Boston Dorchester     84  1008 -71.06109 42.27767 20.2  20.2
## 109 109       Boston Dorchester     84  1009 -71.07499 42.27359 21.4  21.4
## 110 110       Boston Dorchester     84  1010 -71.09482 42.27344 19.9  19.9
## 111 111       Boston Dorchester     84  1011 -71.09388 42.28033 19.0  19.0
## 112 112         Boston Mattapan     85  1101 -71.10200 42.29694 19.1  19.1
## 113 113         Boston Mattapan     85  1102 -71.11165 42.28067 19.1  19.1
## 114 114         Boston Mattapan     85  1103 -71.11383 42.28690 20.1  20.1
## 115 115         Boston Mattapan     85  1104 -71.12565 42.28072 19.9  19.9
## 116 116         Boston Mattapan     85  1105 -71.13735 42.28219 19.6  19.6
## 117 117         Boston Mattapan     85  1106 -71.13719 42.29326 23.2  23.2
## 118 118     Boston Forest Hills     86  1201 -71.12470 42.30779 29.8  29.8
## 119 119     Boston Forest Hills     86  1202 -71.10900 42.30514 13.8  13.8
## 120 120     Boston Forest Hills     86  1203 -71.10228 42.31224 13.3  13.3
## 121 121     Boston Forest Hills     86  1204 -71.11202 42.31393 16.7  16.7
## 122 122     Boston Forest Hills     86  1205 -71.10473 42.32044 12.0  12.0
## 123 123     Boston Forest Hills     86  1206 -71.10960 42.31906 14.6  14.6
## 124 124     Boston Forest Hills     86  1207 -71.11311 42.32389 21.4  21.4
## 125 125     Boston West Roxbury     87  1301 -71.17170 42.28979 23.0  23.0
## 126 126     Boston West Roxbury     87  1302 -71.15729 42.28703 23.7  23.7
## 127 127     Boston West Roxbury     87  1303 -71.15050 42.27859 25.0  25.0
## 128 128     Boston West Roxbury     87  1304 -71.16017 42.26804 21.8  21.8
## 129 129        Boston Hyde Park     88  1401 -71.13499 42.25789 20.6  20.6
## 130 130        Boston Hyde Park     88  1402 -71.12380 42.24330 21.2  21.2
## 131 131        Boston Hyde Park     88  1403 -71.11936 42.25886 19.1  19.1
## 132 132        Boston Hyde Park     88  1404 -71.11166 42.26934 20.6  20.6
## 133 133                 Chelsea     89  1601 -71.02922 42.38877 15.2  15.2
## 134 134                 Chelsea     89  1602 -71.03913 42.38738  7.0   7.0
## 135 135                 Chelsea     89  1604 -71.04204 42.39521  8.1   8.1
## 136 136                 Chelsea     89  1605 -71.02344 42.39652 13.6  13.6
## 137 137                 Chelsea     89  1606 -71.03064 42.40489 20.1  20.1
## 138 138                  Revere     90  1701 -71.02279 42.41043 21.8  21.8
## 139 139                  Revere     90  1702 -71.02054 42.41666 24.5  24.5
## 140 140                  Revere     90  1703 -71.01566 42.43089 23.1  23.1
## 141 141                  Revere     90  1704 -70.99798 42.42310 19.7  19.7
## 142 142                  Revere     90  1705 -70.98045 42.42789 18.3  18.3
## 143 143                  Revere     90  1706 -71.00908 42.40735 21.2  21.2
## 144 144                  Revere     90  1707 -70.99872 42.40245 17.5  17.5
## 145 145                  Revere     90  1708 -70.98738 42.39584 16.8  16.8
## 146 146                Winthrop     91  1801 -70.97787 42.38598 22.4  22.4
## 147 147                Winthrop     91  1802 -70.98806 42.38004 20.6  20.6
## 148 148                Winthrop     91  1803 -70.99544 42.37000 23.9  23.9
## 149 149                Winthrop     91  1804 -70.97787 42.37475 22.0  22.0
## 150 150                Winthrop     91  1805 -70.97376 42.36691 11.9  19.0
## 151 151                  Nahant      0  2011 -70.92747 42.42982 24.0  24.0
## 152 152              Swampscott      1  2021 -70.91549 42.47929 21.6  21.6
## 153 153              Swampscott      1  2022 -70.89789 42.47086 34.7  34.7
## 154 154              Marblehead      2  2031 -70.87974 42.48838 33.4  33.4
## 155 155              Marblehead      2  2032 -70.86917 42.49856 36.2  36.2
## 156 156              Marblehead      2  2033 -70.85986 42.51128 28.7  28.7
## 157 157                   Salem      3  2041 -70.89597 42.49809 22.9  22.9
## 158 158                   Salem      3  2042 -70.89700 42.51586 27.1  22.1
## 159 159                   Salem      3  2043 -70.88648 42.51706 16.5  16.5
## 160 160                   Salem      3  2044 -70.87617 42.52861 18.9  18.9
## 161 161                   Salem      3  2045 -70.89130 42.53002 15.0  15.0
## 162 162                   Salem      3  2046 -70.90479 42.53327 18.9  18.9
## 163 163                   Salem      3  2047 -70.92075 42.50366 21.7  21.7
## 164 164                    Lynn      4  2051 -70.94272 42.48655 20.4  20.4
## 165 165                    Lynn      4  2052 -70.95338 42.48015 18.2  18.2
## 166 166                    Lynn      4  2053 -70.96321 42.49026 19.9  19.9
## 167 167                    Lynn      4  2054 -70.98685 42.49283 23.1  23.1
## 168 168                    Lynn      4  2055 -70.96176 42.47502 17.5  17.5
## 169 169                    Lynn      4  2056 -70.98665 42.46957 20.2  20.2
## 170 170                    Lynn      4  2057 -70.97867 42.46560 18.2  18.2
## 171 171                    Lynn      4  2058 -70.97458 42.45868 13.6  13.6
## 172 172                    Lynn      4  2059 -70.96934 42.46858 19.6  19.6
## 173 173                    Lynn      4  2060 -70.96333 42.46554 15.2  15.2
## 174 174                    Lynn      4  2061 -70.95540 42.46569 14.5  14.5
## 175 175                    Lynn      4  2062 -70.94956 42.46974 15.6  15.6
## 176 176                    Lynn      4  2063 -70.94184 42.47386 13.9  13.9
## 177 177                    Lynn      4  2064 -70.93359 42.47796 16.6  16.6
## 178 178                    Lynn      4  2065 -70.93276 42.47118 14.8  14.8
## 179 179                    Lynn      4  2066 -70.92833 42.46699 18.4  18.4
## 180 180                    Lynn      4  2067 -70.93568 42.46299 21.0  21.0
## 181 181                    Lynn      4  2068 -70.94445 42.46645 12.7  12.7
## 182 182                    Lynn      4  2069 -70.94153 42.46001 14.5  14.5
## 183 183                    Lynn      4  2070 -70.95161 42.45978 13.2  13.2
## 184 184                    Lynn      4  2071 -70.96617 42.45957 13.1  13.1
## 185 185                    Lynn      4  2072 -70.96366 42.45184 13.5  13.5
## 186 186                  Sargus      5  2081 -70.99425 42.44481 18.9  18.9
## 187 187                  Sargus      5  2082 -71.01348 42.45769 20.0  20.0
## 188 188                  Sargus      5  2083 -71.00890 42.47807 21.0  21.0
## 189 189                  Sargus      5  2084 -71.03394 42.48041 24.7  24.2
## 190 190               Lynnfield      6  2091 -71.02298 42.51940 30.8  30.8
## 191 191               Lynnfield      6  2092 -71.05160 42.54868 34.9  34.9
## 192 192                 Peabody      7  2101 -71.01006 42.55763 26.6  26.6
## 193 193                 Peabody      7  2102 -71.00579 42.53919 25.3  25.3
## 194 194                 Peabody      7  2103 -70.96980 42.53742 24.7  24.7
## 195 195                 Peabody      7  2104 -70.95345 42.52694 21.2  21.2
## 196 196                 Peabody      7  2105 -70.96249 42.51005 19.3  19.3
## 197 197                 Peabody      7  2106 -70.94230 42.50959 20.0  20.0
## 198 198                 Peabody      7  2107 -70.92743 42.52080 16.6  16.6
## 199 199                 Peabody      7  2108 -70.92585 42.52809 14.4  14.4
## 200 200                 Peabody      7  2109 -70.92036 42.53517 19.4  19.4
## 201 201                 Danvers      8  2111 -70.91999 42.55456 19.7  19.7
## 202 202                 Danvers      8  2112 -70.93950 42.56054 20.5  20.5
## 203 203                 Danvers      8  2113 -70.93229 42.58236 25.0  25.0
## 204 204                 Danvers      8  2114 -70.96559 42.57731 23.4  23.4
## 205 205               Middleton      9  2121 -71.01693 42.60412 18.9  18.9
## 206 206               Topsfield     10  2141 -70.94295 42.63709 35.4  35.4
## 207 207                Hamilton     11  2151 -70.85846 42.62652 24.7  24.7
## 208 208                  Wenham     12  2161 -70.88321 42.60062 31.6  31.6
## 209 209                 Beverly     13  2171 -70.88283 42.57983 23.3  23.3
## 210 210                 Beverly     13  2172 -70.90005 42.55683 19.6  19.6
## 211 211                 Beverly     13  2173 -70.88541 42.56253 18.7  18.7
## 212 212                 Beverly     13  2174 -70.88357 42.54357 16.0  16.0
## 213 213                 Beverly     13  2175 -70.86961 42.55099 22.2  22.2
## 214 214                 Beverly     13  2176 -70.83310 42.56780 25.0  25.0
## 215 215              Manchester     14  2181 -70.76935 42.58194 33.0  33.0
## 216 216           North Reading     15  3301 -71.07060 42.58404 23.5  23.5
## 217 217           North Reading     15  3302 -71.11536 42.57731 19.4  19.4
## 218 218              Wilmington     16  3311 -71.15160 42.56785 22.0  22.0
## 219 219              Wilmington     16  3312 -71.18078 42.57138 17.4  17.4
## 220 220              Wilmington     16  3313 -71.18509 42.54157 20.9  20.9
## 221 221              Burlington     17  3321 -71.20069 42.52558 24.2  24.2
## 222 222              Burlington     17  3322 -71.18212 42.50187 21.7  21.7
## 223 223              Burlington     17  3323 -71.21899 42.50760 22.8  22.8
## 224 224              Burlington     17  3324 -71.21100 42.48562 23.4  23.4
## 225 225                  Woburn     18  3331 -71.18414 42.46417 24.1  24.1
## 226 226                  Woburn     18  3332 -71.16726 42.47686 21.4  21.4
## 227 227                  Woburn     18  3333 -71.15081 42.47112 20.0  20.0
## 228 228                  Woburn     18  3334 -71.12774 42.48144 20.8  20.8
## 229 229                  Woburn     18  3335 -71.14668 42.49205 21.2  21.2
## 230 230                  Woburn     18  3336 -71.14734 42.51123 20.3  20.3
## 231 231                 Reading     19  3341 -71.11713 42.51318 28.0  28.0
## 232 232                 Reading     19  3342 -71.11826 42.52604 23.9  23.9
## 233 233                 Reading     19  3343 -71.11318 42.54636 24.8  24.8
## 234 234                 Reading     19  3344 -71.08954 42.53516 22.9  22.9
## 235 235               Wakefield     20  3351 -71.07492 42.51524 23.9  23.9
## 236 236               Wakefield     20  3352 -71.08545 42.50155 26.6  26.6
## 237 237               Wakefield     20  3353 -71.05339 42.50573 22.5  22.5
## 238 238               Wakefield     20  3354 -71.06520 42.48172 22.2  22.2
## 239 239                 Melrose     21  3361 -71.07127 42.46574 23.6  23.6
## 240 240                 Melrose     21  3362 -71.05459 42.46532 28.7  28.7
## 241 241                 Melrose     21  3363 -71.04646 42.45084 22.6  22.6
## 242 242                 Melrose     21  3364 -71.07098 42.44839 22.0  22.0
## 243 243                Stoneham     22  3371 -71.08909 42.46712 22.9  22.9
## 244 244                Stoneham     22  3372 -71.10448 42.49276 25.0  25.0
## 245 245                Stoneham     22  3373 -71.10645 42.46730 20.6  20.6
## 246 246              Winchester     23  3381 -71.12377 42.46575 28.4  28.4
## 247 247              Winchester     23  3382 -71.13764 42.46436 21.4  21.4
## 248 248              Winchester     23  3383 -71.14853 42.45423 38.7  38.7
## 249 249              Winchester     23  3384 -71.16511 42.44553 43.8  43.8
## 250 250              Winchester     23  3385 -71.13000 42.44860 33.2  33.2
## 251 251                 Medford     24  3391 -71.11162 42.43556 27.5  27.5
## 252 252                 Medford     24  3392 -71.13588 42.42786 26.5  26.5
## 253 253                 Medford     24  3393 -71.13449 42.41895 18.6  18.6
## 254 254                 Medford     24  3394 -71.12425 42.41473 19.3  19.3
## 255 255                 Medford     24  3395 -71.11512 42.41223 20.1  20.1
## 256 256                 Medford     24  3396 -71.11003 42.40331 19.5  19.5
## 257 257                 Medford     24  3397 -71.10282 42.40547 19.5  19.5
## 258 258                 Medford     24  3398 -71.08714 42.40758 20.4  20.4
## 259 259                 Medford     24  3399 -71.09176 42.41816 19.8  19.8
## 260 260                 Medford     24  3400 -71.09931 42.42298 19.4  19.4
## 261 261                 Medford     24  3401 -71.09480 42.43277 21.7  21.7
## 262 262                  Malden     25  3411 -71.08106 42.43346 22.8  22.8
## 263 263                  Malden     25  3412 -71.08135 42.42114 18.8  18.8
## 264 264                  Malden     25  3413 -71.07081 42.42748 18.7  18.7
## 265 265                  Malden     25  3414 -71.06735 42.41828 18.5  18.5
## 266 266                  Malden     25  3415 -71.05950 42.42466 18.3  18.3
## 267 267                  Malden     25  3416 -71.06044 42.43607 21.2  21.2
## 268 268                  Malden     25  3417 -71.04783 42.43631 19.2  19.2
## 269 269                  Malden     25  3418 -71.04838 42.42753 20.4  20.4
## 270 270                  Malden     25  3419 -71.03215 42.43477 19.3  19.3
## 271 271                 Everett     26  3421 -71.03928 42.41589 22.0  22.0
## 272 272                 Everett     26  3422 -71.05140 42.41770 20.3  20.3
## 273 273                 Everett     26  3423 -71.06277 42.41225 20.5  20.5
## 274 274                 Everett     26  3424 -71.06564 42.40697 17.3  17.3
## 275 275                 Everett     26  3425 -71.05165 42.40721 18.8  18.8
## 276 276                 Everett     26  3426 -71.04389 42.40477 21.4  21.4
## 277 277                 Everett     26  3427 -71.06175 42.39576 15.7  15.7
## 278 278              Somerville     27  3501 -71.08639 42.39421 16.2  16.2
## 279 279              Somerville     27  3502 -71.09700 42.39097 18.0  18.0
## 280 280              Somerville     27  3503 -71.10688 42.39509 14.3  14.3
## 281 281              Somerville     27  3504 -71.11538 42.39834 19.2  19.2
## 282 282              Somerville     27  3505 -71.12268 42.39997 19.6  19.6
## 283 283              Somerville     27  3506 -71.12266 42.40482 23.0  23.0
## 284 284              Somerville     27  3507 -71.13049 42.40854 18.4  18.4
## 285 285              Somerville     27  3508 -71.12759 42.39989 15.6  15.6
## 286 286              Somerville     27  3509 -71.12059 42.39408 18.1  18.1
## 287 287              Somerville     27  3510 -71.11323 42.38913 17.4  17.4
## 288 288              Somerville     27  3511 -71.10503 42.38743 17.1  17.1
## 289 289              Somerville     27  3512 -71.10351 42.37951 13.3  13.3
## 290 290              Somerville     27  3513 -71.09572 42.38342 17.8  17.8
## 291 291              Somerville     27  3514 -71.08624 42.38492 14.0  14.0
## 292 292              Somerville     27  3515 -71.08552 42.37706 14.4  14.4
## 293 293               Cambridge     28  3521 -71.07586 42.36917 13.4  13.4
## 294 294               Cambridge     28  3522 -71.08605 42.37186 15.6  15.6
## 295 295               Cambridge     28  3523 -71.08405 42.36670 11.8  11.8
## 296 296               Cambridge     28  3524 -71.09070 42.36454 13.8  13.8
## 297 297               Cambridge     28  3525 -71.09844 42.36777 15.6  15.6
## 298 298               Cambridge     28  3526 -71.09186 42.36992 14.6  14.6
## 299 299               Cambridge     28  3527 -71.09441 42.37326 17.8  17.8
## 300 300               Cambridge     28  3528 -71.09749 42.37122 15.4  15.4
## 301 301               Cambridge     28  3529 -71.10398 42.37246 21.5  21.5
## 302 302               Cambridge     28  3530 -71.10453 42.36714 19.6  19.6
## 303 303               Cambridge     28  3531 -71.09371 42.35856 15.3  15.3
## 304 304               Cambridge     28  3532 -71.10653 42.35795 19.4  19.4
## 305 305               Cambridge     28  3533 -71.11191 42.35872 17.0  17.0
## 306 306               Cambridge     28  3534 -71.11405 42.36225 15.6  15.6
## 307 307               Cambridge     28  3535 -71.11123 42.36628 13.1  13.1
## 308 308               Cambridge     28  3536 -71.11551 42.38010 41.3  41.3
## 309 309               Cambridge     28  3537 -71.11338 42.37451 24.3  24.3
## 310 310               Cambridge     28  3538 -71.11051 42.37033 23.3  23.3
## 311 311               Cambridge     28  3539 -71.11785 42.36865 27.0  27.0
## 312 312               Cambridge     28  3540 -71.12272 42.38010 50.0  50.0
## 313 313               Cambridge     28  3541 -71.12624 42.37515 50.0  50.0
## 314 314               Cambridge     28  3542 -71.13808 42.37450 50.0  50.0
## 315 315               Cambridge     28  3543 -71.15074 42.38325 22.7  22.7
## 316 316               Cambridge     28  3544 -71.13817 42.38333 25.0  25.0
## 317 317               Cambridge     28  3545 -71.12413 42.38497 50.0  50.0
## 318 318               Cambridge     28  3546 -71.14212 42.38948 23.8  23.8
## 319 319               Cambridge     28  3547 -71.12343 42.38947 23.8  23.8
## 320 320               Cambridge     28  3548 -71.12844 42.39239 22.3  22.3
## 321 321               Cambridge     28  3549 -71.14230 42.39540 17.4  17.4
## 322 322               Cambridge     28  3550 -71.13255 42.39841 19.1  19.1
## 323 323               Arlington     29  3561 -71.14567 42.40148 23.1  23.1
## 324 324               Arlington     29  3562 -71.14314 42.40775 23.6  23.6
## 325 325               Arlington     29  3563 -71.14110 42.41365 22.6  22.6
## 326 326               Arlington     29  3564 -71.15910 42.42775 29.4  29.4
## 327 327               Arlington     29  3565 -71.18734 42.42455 23.2  23.2
## 328 328               Arlington     29  3566 -71.17773 42.41899 24.6  24.6
## 329 329               Arlington     29  3567 -71.16070 42.41166 29.9  29.9
## 330 330                 Belmont     30  3571 -71.16654 42.40107 37.2  37.2
## 331 331                 Belmont     30  3572 -71.16687 42.39107 39.8  39.8
## 332 332                 Belmont     30  3573 -71.16068 42.38068 36.2  36.2
## 333 333                 Belmont     30  3574 -71.16901 42.38126 37.9  37.9
## 334 334                 Belmont     30  3575 -71.17643 42.38349 32.5  32.5
## 335 335                 Belmont     30  3576 -71.18680 42.38323 26.4  26.4
## 336 336                 Belmont     30  3577 -71.19455 42.39695 29.6  29.6
## 337 337                 Belmont     30  3578 -71.18587 42.40313 50.0  50.0
## 338 338               Lexington     31  3581 -71.20717 42.42636 32.0  32.0
## 339 339               Lexington     31  3583 -71.23766 42.42429 29.8  29.8
## 340 340               Lexington     31  3584 -71.24417 42.43976 34.9  34.9
## 341 341               Lexington     31  3585 -71.20189 42.44772 37.0  33.0
## 342 342               Lexington     31  3586 -71.25168 42.45988 30.5  30.5
## 343 343               Lexington     31  3587 -71.23315 42.47020 36.4  36.4
## 344 344                 Bedford     32  3591 -71.25787 42.50346 31.1  31.1
## 345 345                 Bedford     32  3592 -71.27075 42.50371 29.1  29.1
## 346 346                 Lincoln     33  3602 -71.31013 42.42516 50.0  50.0
## 347 347                 Concord     34  3611 -71.37021 42.44212 33.3  33.3
## 348 348                 Concord     34  3612 -71.40687 42.44641 30.3  30.3
## 349 349                 Concord     34  3613 -71.34903 42.47699 34.6  34.6
## 350 350                 Sudbury     35  3651 -71.41154 42.40346 34.9  34.9
## 351 351                 Sudbury     35  3652 -71.43537 42.36643 32.9  32.9
## 352 352                 Wayland     36  3661 -71.36667 42.32506 24.1  24.1
## 353 353                 Wayland     36  3662 -71.35831 42.36510 42.3  42.3
## 354 354                  Weston     37  3671 -71.30389 42.38477 48.5  48.5
## 355 355                  Weston     37  3672 -71.29874 42.34617 50.0  50.0
## 356 356                 Waltham     38  3681 -71.25424 42.40770 22.6  22.6
## 357 357                 Waltham     38  3682 -71.26192 42.39038 24.4  24.4
## 358 358                 Waltham     38  3683 -71.25416 42.37714 22.5  22.5
## 359 359                 Waltham     38  3684 -71.25732 42.36591 24.4  24.4
## 360 360                 Waltham     38  3685 -71.23845 42.36935 20.0  20.0
## 361 361                 Waltham     38  3686 -71.24141 42.36223 21.7  21.7
## 362 362                 Waltham     38  3687 -71.22772 42.36828 19.3  19.3
## 363 363                 Waltham     38  3688 -71.22472 42.37349 22.4  22.4
## 364 364                 Waltham     38  3689 -71.22804 42.39250 28.1  28.1
## 365 365                 Waltham     38  3690 -71.21327 42.39703 23.7  23.7
## 366 366                 Waltham     38  3691 -71.20687 42.38465 25.0  25.0
## 367 367               Watertown     39  3701 -71.19817 42.37176 23.3  23.3
## 368 368               Watertown     39  3702 -71.17663 42.37451 28.7  28.7
## 369 369               Watertown     39  3703 -71.15546 42.36734 21.5  21.5
## 370 370               Watertown     39  3704 -71.17713 42.36414 23.0  23.0
## 371 371                  Newton     40  3731 -71.18423 42.35597 26.7  26.7
## 372 372                  Newton     40  3732 -71.20135 42.36091 21.7  21.7
## 373 373                  Newton     40  3733 -71.21028 42.35681 27.5  27.5
## 374 374                  Newton     40  3734 -71.20280 42.34802 30.1  30.1
## 375 375                  Newton     40  3735 -71.18327 42.34368 44.8  44.8
## 376 376                  Newton     40  3736 -71.17559 42.32960 50.0  50.0
## 377 377                  Newton     40  3737 -71.20487 42.33662 37.6  37.6
## 378 378                  Newton     40  3738 -71.19289 42.32453 31.6  31.6
## 379 379                  Newton     40  3739 -71.18300 42.30791 46.7  46.7
## 380 380                  Newton     40  3740 -71.19782 42.29972 31.5  31.5
## 381 381                  Newton     40  3741 -71.21603 42.31201 24.3  24.3
## 382 382                  Newton     40  3742 -71.21398 42.32338 31.7  31.7
## 383 383                  Newton     40  3743 -71.23695 42.32540 41.7  41.7
## 384 384                  Newton     40  3744 -71.22640 42.33828 48.3  48.3
## 385 385                  Newton     40  3745 -71.22319 42.35442 29.0  29.0
## 386 386                  Newton     40  3746 -71.23131 42.35591 24.0  24.0
## 387 387                  Newton     40  3747 -71.24878 42.35074 25.1  25.1
## 388 388                  Newton     40  3748 -71.25272 42.33606 31.5  31.5
## 389 389                  Natick     41  3821 -71.34272 42.31245 23.7  23.7
## 390 390                  Natick     41  3822 -71.34051 42.29483 23.3  23.3
## 391 391                  Natick     41  3823 -71.32688 42.26720 22.0  27.0
## 392 392                  Natick     41  3824 -71.35888 42.27110 20.1  20.1
## 393 393                  Natick     41  3825 -71.36734 42.29527 22.2  22.2
## 394 394                  Natick     41  3826 -71.38780 42.28705 23.7  23.7
## 395 395              Framingham     42  3831 -71.40652 42.26941 17.6  17.6
## 396 396              Framingham     42  3832 -71.42786 42.26823 18.5  18.5
## 397 397              Framingham     42  3833 -71.43413 42.28238 24.3  24.3
## 398 398              Framingham     42  3834 -71.41149 42.28456 20.5  20.5
## 399 399              Framingham     42  3835 -71.42422 42.29470 24.5  24.5
## 400 400              Framingham     42  3836 -71.41487 42.30488 26.2  26.2
## 401 401              Framingham     42  3837 -71.39607 42.31728 24.4  24.4
## 402 402              Framingham     42  3838 -71.40588 42.33035 24.8  24.8
## 403 403              Framingham     42  3839 -71.45448 42.32784 29.6  29.6
## 404 404              Framingham     42  3840 -71.46760 42.29246 42.8  42.8
## 405 405                 Ashland     43  3851 -71.48515 42.26586 21.9  21.9
## 406 406                 Ashland     43  3852 -71.45008 42.24682 20.9  20.9
## 407 407                Sherborn     44  3861 -71.37553 42.23391 44.0  44.0
## 408 408               Brookline     45  4001 -71.11249 42.34540 50.0  50.0
## 409 409               Brookline     45  4002 -71.12043 42.34678 36.0  36.0
## 410 410               Brookline     45  4003 -71.12789 42.34675 30.1  30.1
## 411 411               Brookline     45  4004 -71.13311 42.34200 33.8  33.8
## 412 412               Brookline     45  4005 -71.13150 42.33714 43.1  43.1
## 413 413               Brookline     45  4006 -71.14011 42.33325 48.8  48.8
## 414 414               Brookline     45  4007 -71.12554 42.33301 31.0  31.0
## 415 415               Brookline     45  4008 -71.11827 42.33849 36.5  36.5
## 416 416               Brookline     45  4009 -71.11664 42.33300 22.8  22.8
## 417 417               Brookline     45  4010 -71.12170 42.32723 30.7  30.7
## 418 418               Brookline     45  4011 -71.14174 42.32280 50.0  50.0
## 419 419               Brookline     45  4012 -71.15634 42.31086 43.5  43.5
## 420 420                  Dedham     46  4021 -71.17234 42.26026 20.7  20.7
## 421 421                  Dedham     46  4022 -71.14572 42.23459 21.1  21.1
## 422 422                  Dedham     46  4023 -71.15302 42.22387 25.2  25.2
## 423 423                  Dedham     46  4024 -71.16712 42.23949 24.4  24.4
## 424 424                  Dedham     46  4025 -71.19893 42.25151 35.2  35.2
## 425 425                 Needham     47  4031 -71.20957 42.27980 32.4  32.4
## 426 426                 Needham     47  4032 -71.22847 42.28804 32.0  32.0
## 427 427                 Needham     47  4033 -71.24625 42.26646 33.2  33.2
## 428 428                 Needham     47  4034 -71.26521 42.27922 33.1  33.1
## 429 429                 Needham     47  4035 -71.23342 42.30222 29.1  29.1
## 430 430               Wellesley     48  4041 -71.24721 42.31311 35.1  35.1
## 431 431               Wellesley     48  4042 -71.27208 42.31177 45.4  45.4
## 432 432               Wellesley     48  4043 -71.30869 42.30735 35.4  35.4
## 433 433               Wellesley     48  4044 -71.29635 42.28812 46.0  46.0
## 434 434                   Dover     49  4051 -71.28460 42.23638 50.0  50.0
## 435 435                Medfield     50  4061 -71.30524 42.18458 32.2  32.2
## 436 436                  Millis     51  4071 -71.36284 42.16913 22.0  22.0
## 437 437                 Norfolk     52  4091 -71.32959 42.11652 20.1  20.1
## 438 438                 Walpole     53  4111 -71.25522 42.12167 23.2  23.2
## 439 439                 Walpole     53  4112 -71.22163 42.15477 22.3  22.3
## 440 440                 Walpole     53  4113 -71.26618 42.15842 24.8  24.8
## 441 441                Westwood     54  4121 -71.22828 42.20750 28.5  28.5
## 442 442                Westwood     54  4122 -71.22049 42.23423 37.3  37.3
## 443 443                Westwood     54  4123 -71.17229 42.21442 27.9  27.9
## 444 444                 Norwood     55  4131 -71.17801 42.18834 23.9  23.9
## 445 445                 Norwood     55  4132 -71.19527 42.20250 21.7  21.7
## 446 446                 Norwood     55  4133 -71.21842 42.19407 28.6  28.6
## 447 447                 Norwood     55  4134 -71.21599 42.18297 27.1  27.1
## 448 448                 Norwood     55  4135 -71.19941 42.16790 20.3  20.3
## 449 449                  Sharon     56  4141 -71.20514 42.12005 22.5  22.5
## 450 450                  Sharon     56  4142 -71.16299 42.09192 29.0  29.0
## 451 451                  Sharon     56  4143 -71.17099 42.12430 24.8  24.8
## 452 452                  Canton     57  4151 -71.15126 42.16126 22.0  22.0
## 453 453                  Canton     57  4152 -71.10404 42.16505 26.4  26.4
## 454 454                  Canton     57  4153 -71.12627 42.19760 33.1  33.1
## 455 455                  Milton     58  4161 -71.09121 42.23177 36.1  36.1
## 456 456                  Milton     58  4162 -71.09656 42.25432 28.4  28.4
## 457 457                  Milton     58  4163 -71.07864 42.26400 33.4  33.4
## 458 458                  Milton     58  4164 -71.05003 42.26263 28.2  28.2
## 459 459                  Quincy     59  4171 -71.02381 42.25948 22.8  22.8
## 460 460                  Quincy     59  4172 -71.03437 42.27144 20.3  20.3
## 461 461                  Quincy     59  4173 -71.03054 42.29703 16.1  16.1
## 462 462                  Quincy     59  4174 -71.00174 42.30060 22.1  22.1
## 463 463                  Quincy     59  4175 -71.01817 42.28267 19.4  19.4
## 464 464                  Quincy     59  4176 -70.99157 42.28100 21.6  21.6
## 465 465                  Quincy     59  4177 -70.99630 42.25633 23.8  23.8
## 466 466                  Quincy     59  4178 -70.96261 42.26742 16.2  16.2
## 467 467                  Quincy     59  4179 -70.98011 42.24588 17.8  17.8
## 468 468                  Quincy     59  4180 -71.00764 42.23669 19.8  19.8
## 469 469                  Quincy     59  4181 -71.01697 42.24955 23.1  23.1
## 470 470                  Quincy     59  4182 -71.05312 42.22698 21.0  21.0
## 471 471               Braintree     60  4191 -71.02195 42.21756 23.8  23.8
## 472 472               Braintree     60  4192 -70.99478 42.22235 23.1  23.1
## 473 473               Braintree     60  4193 -70.98382 42.22773 20.4  20.4
## 474 474               Braintree     60  4194 -70.97054 42.23052 18.5  18.5
## 475 475               Braintree     60  4195 -70.97991 42.21070 25.0  25.0
## 476 476               Braintree     60  4196 -70.99304 42.18036 24.6  24.6
## 477 477               Braintree     60  4197 -71.00048 42.19247 23.0  23.0
## 478 478               Braintree     60  4198 -71.02312 42.20090 22.2  22.2
## 479 479                Randolph     61  4201 -71.04369 42.18847 19.3  19.3
## 480 480                Randolph     61  4202 -71.07374 42.18897 22.6  22.6
## 481 481                Randolph     61  4203 -71.04316 42.16073 19.8  19.8
## 482 482                Holbrook     62  4211 -71.01897 42.13780 17.1  17.1
## 483 483                Holbrook     62  4212 -70.99820 42.15233 19.4  19.4
## 484 484                Weymouth     63  4221 -70.96749 42.15921 22.2  22.2
## 485 485                Weymouth     63  4222 -70.94047 42.16522 20.7  20.7
## 486 486                Weymouth     63  4223 -70.94780 42.18938 21.1  21.1
## 487 487                Weymouth     63  4224 -70.95913 42.21036 19.5  19.5
## 488 488                Weymouth     63  4225 -70.93245 42.20920 18.5  18.5
## 489 489                Weymouth     63  4226 -70.93848 42.22769 20.6  20.6
## 490 490                Weymouth     63  4227 -70.94889 42.23914 19.0  19.0
## 491 491                Weymouth     63  4228 -70.93116 42.26458 18.7  18.7
## 492 492                Cohasset     64  4231 -70.81962 42.23582 32.7  32.7
## 493 493                    Hull     65  5001 -70.88387 42.28517 16.5  16.5
## 494 494                 Hingham     66  5011 -70.89334 42.25162 23.9  23.9
## 495 495                 Hingham     66  5012 -70.88204 42.20163 31.2  31.2
## 496 496                Rockland     67  5021 -70.90759 42.11315 17.5  17.5
## 497 497                Rockland     67  5022 -70.91368 42.14872 17.2  17.2
## 498 498                 Hanover     68  5031 -70.85693 42.12215 23.1  23.1
## 499 499                 Norwell     69  5041 -70.81807 42.16055 24.5  24.5
## 500 500                Scituate     70  5051 -70.77468 42.21110 26.6  26.6
## 501 501                Scituate     70  5052 -70.73500 42.17794 22.9  22.9
## 502 502              Marshfield     71  5061 -70.73348 42.12808 24.1  24.1
## 503 503              Marshfield     71  5062 -70.68048 42.08674 18.6  18.6
## 504 504                 Duxbury     72  5071 -70.71659 42.04673 30.1  30.1
## 505 505                Pembroke     73  5081 -70.80665 42.07781 18.2  18.2
## 506 506                Pembroke     73  5082 -70.79450 42.04597 20.6  20.6
##         CRIM    ZN INDUS CHAS    NOX    RM   AGE     DIS RAD TAX PTRATIO
## 1    8.98296   0.0 18.10    1 0.7700 6.212  97.4  2.1222  24 666    20.2
## 2    3.84970   0.0 18.10    1 0.7700 6.395  91.0  2.5052  24 666    20.2
## 3    5.20177   0.0 18.10    1 0.7700 6.127  83.4  2.7227  24 666    20.2
## 4    4.26131   0.0 18.10    0 0.7700 6.112  81.3  2.5091  24 666    20.2
## 5    4.54192   0.0 18.10    0 0.7700 6.398  88.0  2.5182  24 666    20.2
## 6    3.83684   0.0 18.10    0 0.7700 6.251  91.1  2.2955  24 666    20.2
## 7    3.67822   0.0 18.10    0 0.7700 5.362  96.2  2.1036  24 666    20.2
## 8    4.22239   0.0 18.10    1 0.7700 5.803  89.0  1.9047  24 666    20.2
## 9    3.47428   0.0 18.10    1 0.7180 8.780  82.9  1.9047  24 666    20.2
## 10   4.55587   0.0 18.10    0 0.7180 3.561  87.9  1.6132  24 666    20.2
## 11   3.69695   0.0 18.10    0 0.7180 4.963  91.4  1.7523  24 666    20.2
## 12  13.52220   0.0 18.10    0 0.6310 3.863 100.0  1.5106  24 666    20.2
## 13   4.89822   0.0 18.10    0 0.6310 4.970 100.0  1.3325  24 666    20.2
## 14   5.66998   0.0 18.10    1 0.6310 6.683  96.8  1.3567  24 666    20.2
## 15   6.53876   0.0 18.10    1 0.6310 7.016  97.5  1.2024  24 666    20.2
## 16   9.23230   0.0 18.10    0 0.6310 6.216 100.0  1.1691  24 666    20.2
## 17   8.26725   0.0 18.10    1 0.6680 5.875  89.6  1.1296  24 666    20.2
## 18  11.10810   0.0 18.10    0 0.6680 4.906 100.0  1.1742  24 666    20.2
## 19  18.49820   0.0 18.10    0 0.6680 4.138 100.0  1.1370  24 666    20.2
## 20  19.60910   0.0 18.10    0 0.6710 7.313  97.9  1.3163  24 666    20.2
## 21  15.28800   0.0 18.10    0 0.6710 6.649  93.3  1.3449  24 666    20.2
## 22   9.82349   0.0 18.10    0 0.6710 6.794  98.8  1.3580  24 666    20.2
## 23  23.64820   0.0 18.10    0 0.6710 6.380  96.2  1.3861  24 666    20.2
## 24  17.86670   0.0 18.10    0 0.6710 6.223 100.0  1.3861  24 666    20.2
## 25  88.97620   0.0 18.10    0 0.6710 6.968  91.9  1.4165  24 666    20.2
## 26  15.87440   0.0 18.10    0 0.6710 6.545  99.1  1.5192  24 666    20.2
## 27   9.18702   0.0 18.10    0 0.7000 5.536 100.0  1.5804  24 666    20.2
## 28   7.99248   0.0 18.10    0 0.7000 5.520 100.0  1.5331  24 666    20.2
## 29  20.08490   0.0 18.10    0 0.7000 4.368  91.2  1.4395  24 666    20.2
## 30  16.81180   0.0 18.10    0 0.7000 5.277  98.1  1.4261  24 666    20.2
## 31  24.39380   0.0 18.10    0 0.7000 4.652 100.0  1.4672  24 666    20.2
## 32  22.59710   0.0 18.10    0 0.7000 5.000  89.5  1.5184  24 666    20.2
## 33  14.33370   0.0 18.10    0 0.7000 4.880 100.0  1.5895  24 666    20.2
## 34   8.15174   0.0 18.10    0 0.7000 5.390  98.9  1.7281  24 666    20.2
## 35   6.96215   0.0 18.10    0 0.7000 5.713  97.0  1.9265  24 666    20.2
## 36   5.29305   0.0 18.10    0 0.7000 6.051  82.5  2.1678  24 666    20.2
## 37  11.57790   0.0 18.10    0 0.7000 5.036  97.0  1.7700  24 666    20.2
## 38   8.64476   0.0 18.10    0 0.6930 6.193  92.6  1.7912  24 666    20.2
## 39  13.35980   0.0 18.10    0 0.6930 5.887  94.7  1.7821  24 666    20.2
## 40   8.71675   0.0 18.10    0 0.6930 6.471  98.8  1.7257  24 666    20.2
## 41   5.87205   0.0 18.10    0 0.6930 6.405  96.0  1.6768  24 666    20.2
## 42   7.67202   0.0 18.10    0 0.6930 5.747  98.9  1.6334  24 666    20.2
## 43  38.35180   0.0 18.10    0 0.6930 5.453 100.0  1.4896  24 666    20.2
## 44   9.91655   0.0 18.10    0 0.6930 5.852  77.8  1.5004  24 666    20.2
## 45  25.04610   0.0 18.10    0 0.6930 5.987 100.0  1.5888  24 666    20.2
## 46  14.23620   0.0 18.10    0 0.6930 6.343 100.0  1.5741  24 666    20.2
## 47   9.59571   0.0 18.10    0 0.6930 6.404 100.0  1.6390  24 666    20.2
## 48  24.80170   0.0 18.10    0 0.6930 5.349  96.0  1.7028  24 666    20.2
## 49  41.52920   0.0 18.10    0 0.6930 5.531  85.4  1.6074  24 666    20.2
## 50  67.92080   0.0 18.10    0 0.6930 5.683 100.0  1.4254  24 666    20.2
## 51  20.71620   0.0 18.10    0 0.6590 4.138 100.0  1.1781  24 666    20.2
## 52  11.95110   0.0 18.10    0 0.6590 5.608 100.0  1.2852  24 666    20.2
## 53   7.40389   0.0 18.10    0 0.5970 5.617  97.9  1.4547  24 666    20.2
## 54  14.43830   0.0 18.10    0 0.5970 6.852 100.0  1.4655  24 666    20.2
## 55  51.13580   0.0 18.10    0 0.5970 5.757 100.0  1.4130  24 666    20.2
## 56  14.05070   0.0 18.10    0 0.5970 6.657 100.0  1.5275  24 666    20.2
## 57  18.81100   0.0 18.10    0 0.5970 4.628 100.0  1.5539  24 666    20.2
## 58  28.65580   0.0 18.10    0 0.5970 5.155 100.0  1.5894  24 666    20.2
## 59  45.74610   0.0 18.10    0 0.6930 4.519 100.0  1.6582  24 666    20.2
## 60  18.08460   0.0 18.10    0 0.6790 6.434 100.0  1.8347  24 666    20.2
## 61  10.83420   0.0 18.10    0 0.6790 6.782  90.8  1.8195  24 666    20.2
## 62  25.94060   0.0 18.10    0 0.6790 5.304  89.1  1.6475  24 666    20.2
## 63  73.53410   0.0 18.10    0 0.6790 5.957 100.0  1.8026  24 666    20.2
## 64  11.81230   0.0 18.10    0 0.7180 6.824  76.5  1.7940  24 666    20.2
## 65  11.08740   0.0 18.10    0 0.7180 6.411 100.0  1.8589  24 666    20.2
## 66   7.02259   0.0 18.10    0 0.7180 6.006  95.3  1.8746  24 666    20.2
## 67  12.04820   0.0 18.10    0 0.6140 5.648  87.6  1.9512  24 666    20.2
## 68   7.05042   0.0 18.10    0 0.6140 6.103  85.1  2.0218  24 666    20.2
## 69   8.79212   0.0 18.10    0 0.5840 5.565  70.6  2.0635  24 666    20.2
## 70  15.86030   0.0 18.10    0 0.6790 5.896  95.4  1.9096  24 666    20.2
## 71  12.24720   0.0 18.10    0 0.5840 5.837  59.7  1.9976  24 666    20.2
## 72  37.66190   0.0 18.10    0 0.6790 6.202  78.7  1.8629  24 666    20.2
## 73   7.36711   0.0 18.10    0 0.6790 6.193  78.1  1.9356  24 666    20.2
## 74   9.33889   0.0 18.10    0 0.6790 6.380  95.6  1.9682  24 666    20.2
## 75   8.49213   0.0 18.10    0 0.5840 6.348  86.1  2.0527  24 666    20.2
## 76  10.06230   0.0 18.10    0 0.5840 6.833  94.3  2.0882  24 666    20.2
## 77   6.44405   0.0 18.10    0 0.5840 6.425  74.8  2.2004  24 666    20.2
## 78   5.58107   0.0 18.10    0 0.7130 6.436  87.9  2.3158  24 666    20.2
## 79  13.91340   0.0 18.10    0 0.7130 6.208  95.0  2.2222  24 666    20.2
## 80  11.16040   0.0 18.10    0 0.7400 6.629  94.6  2.1247  24 666    20.2
## 81  14.42080   0.0 18.10    0 0.7400 6.461  93.3  2.0026  24 666    20.2
## 82  15.17720   0.0 18.10    0 0.7400 6.152 100.0  1.9142  24 666    20.2
## 83  13.67810   0.0 18.10    0 0.7400 5.935  87.9  1.8206  24 666    20.2
## 84   9.39063   0.0 18.10    0 0.7400 5.627  93.9  1.8172  24 666    20.2
## 85  22.05110   0.0 18.10    0 0.7400 5.818  92.4  1.8662  24 666    20.2
## 86   9.72418   0.0 18.10    0 0.7400 6.406  97.2  2.0651  24 666    20.2
## 87   5.66637   0.0 18.10    0 0.7400 6.219 100.0  2.0048  24 666    20.2
## 88   9.96654   0.0 18.10    0 0.7400 6.485 100.0  1.9784  24 666    20.2
## 89  12.80230   0.0 18.10    0 0.7400 5.854  96.6  1.8956  24 666    20.2
## 90  10.67180   0.0 18.10    0 0.7400 6.459  94.8  1.9879  24 666    20.2
## 91   6.28807   0.0 18.10    0 0.7400 6.341  96.4  2.0720  24 666    20.2
## 92   9.92485   0.0 18.10    0 0.7400 6.251  96.6  2.1980  24 666    20.2
## 93   9.32909   0.0 18.10    0 0.7130 6.185  98.7  2.2616  24 666    20.2
## 94   7.52601   0.0 18.10    0 0.7130 6.417  98.3  2.1850  24 666    20.2
## 95   6.71772   0.0 18.10    0 0.7130 6.749  92.6  2.3236  24 666    20.2
## 96   5.44114   0.0 18.10    0 0.7130 6.655  98.2  2.3552  24 666    20.2
## 97   5.09017   0.0 18.10    0 0.7130 6.297  91.8  2.3682  24 666    20.2
## 98   8.24809   0.0 18.10    0 0.7130 7.393  99.3  2.4527  24 666    20.2
## 99   9.51363   0.0 18.10    0 0.7130 6.728  94.1  2.4961  24 666    20.2
## 100  4.75237   0.0 18.10    0 0.7130 6.525  86.5  2.4358  24 666    20.2
## 101  4.66883   0.0 18.10    0 0.7130 5.976  87.9  2.5806  24 666    20.2
## 102  8.20058   0.0 18.10    0 0.7130 5.936  80.3  2.7792  24 666    20.2
## 103  7.75223   0.0 18.10    0 0.7130 6.301  83.7  2.7831  24 666    20.2
## 104  6.80117   0.0 18.10    0 0.7130 6.081  84.4  2.7175  24 666    20.2
## 105  4.81213   0.0 18.10    0 0.7130 6.701  90.0  2.5975  24 666    20.2
## 106  3.69311   0.0 18.10    0 0.7130 6.376  88.4  2.5671  24 666    20.2
## 107  6.65492   0.0 18.10    0 0.7130 6.317  83.0  2.7344  24 666    20.2
## 108  5.82115   0.0 18.10    0 0.7130 6.513  89.9  2.8016  24 666    20.2
## 109  7.83932   0.0 18.10    0 0.6550 6.209  65.4  2.9634  24 666    20.2
## 110  3.16360   0.0 18.10    0 0.6550 5.759  48.2  3.0665  24 666    20.2
## 111  3.77498   0.0 18.10    0 0.6550 5.952  84.7  2.8715  24 666    20.2
## 112  4.42228   0.0 18.10    0 0.5840 6.003  94.5  2.5403  24 666    20.2
## 113 15.57570   0.0 18.10    0 0.5800 5.926  71.0  2.9084  24 666    20.2
## 114 13.07510   0.0 18.10    0 0.5800 5.713  56.7  2.8237  24 666    20.2
## 115  4.34879   0.0 18.10    0 0.5800 6.167  84.0  3.0334  24 666    20.2
## 116  4.03841   0.0 18.10    0 0.5320 6.229  90.7  3.0993  24 666    20.2
## 117  3.56868   0.0 18.10    0 0.5800 6.437  75.0  2.8965  24 666    20.2
## 118  4.64689   0.0 18.10    0 0.6140 6.980  67.6  2.5329  24 666    20.2
## 119  8.05579   0.0 18.10    0 0.5840 5.427  95.4  2.4298  24 666    20.2
## 120  6.39312   0.0 18.10    0 0.5840 6.162  97.4  2.2060  24 666    20.2
## 121  4.87141   0.0 18.10    0 0.6140 6.484  93.6  2.3053  24 666    20.2
## 122 15.02340   0.0 18.10    0 0.6140 5.304  97.3  2.1007  24 666    20.2
## 123 10.23300   0.0 18.10    0 0.6140 6.185  96.7  2.1705  24 666    20.2
## 124 14.33370   0.0 18.10    0 0.6140 6.229  88.0  1.9512  24 666    20.2
## 125  5.82401   0.0 18.10    0 0.5320 6.242  64.7  3.4242  24 666    20.2
## 126  5.70818   0.0 18.10    0 0.5320 6.750  74.9  3.3317  24 666    20.2
## 127  5.73116   0.0 18.10    0 0.5320 7.061  77.0  3.4106  24 666    20.2
## 128  2.81838   0.0 18.10    0 0.5320 5.762  40.3  4.0983  24 666    20.2
## 129  2.37857   0.0 18.10    0 0.5830 5.871  41.9  3.7240  24 666    20.2
## 130  3.67367   0.0 18.10    0 0.5830 6.312  51.9  3.9917  24 666    20.2
## 131  5.69175   0.0 18.10    0 0.5830 6.114  79.8  3.5459  24 666    20.2
## 132  4.83567   0.0 18.10    0 0.5830 5.905  53.2  3.1523  24 666    20.2
## 133  0.15086   0.0 27.74    0 0.6090 5.454  92.7  1.8209   4 711    20.1
## 134  0.18337   0.0 27.74    0 0.6090 5.414  98.3  1.7554   4 711    20.1
## 135  0.20746   0.0 27.74    0 0.6090 5.093  98.0  1.8226   4 711    20.1
## 136  0.10574   0.0 27.74    0 0.6090 5.983  98.8  1.8681   4 711    20.1
## 137  0.11132   0.0 27.74    0 0.6090 5.983  83.5  2.1099   4 711    20.1
## 138  0.17331   0.0  9.69    0 0.5850 5.707  54.0  2.3817   6 391    19.2
## 139  0.27957   0.0  9.69    0 0.5850 5.926  42.6  2.3817   6 391    19.2
## 140  0.17899   0.0  9.69    0 0.5850 5.670  28.8  2.7986   6 391    19.2
## 141  0.28960   0.0  9.69    0 0.5850 5.390  72.9  2.7986   6 391    19.2
## 142  0.26838   0.0  9.69    0 0.5850 5.794  70.6  2.8927   6 391    19.2
## 143  0.23912   0.0  9.69    0 0.5850 6.019  65.3  2.4091   6 391    19.2
## 144  0.17783   0.0  9.69    0 0.5850 5.569  73.5  2.3999   6 391    19.2
## 145  0.22438   0.0  9.69    0 0.5850 6.027  79.7  2.4982   6 391    19.2
## 146  0.06263   0.0 11.93    0 0.5730 6.593  69.1  2.4786   1 273    21.0
## 147  0.04527   0.0 11.93    0 0.5730 6.120  76.7  2.2875   1 273    21.0
## 148  0.06076   0.0 11.93    0 0.5730 6.976  91.0  2.1675   1 273    21.0
## 149  0.10959   0.0 11.93    0 0.5730 6.794  89.3  2.3889   1 273    21.0
## 150  0.04741   0.0 11.93    0 0.5730 6.030  80.8  2.5050   1 273    21.0
## 151  0.00632  18.0  2.31    0 0.5380 6.575  65.2  4.0900   1 296    15.3
## 152  0.02731   0.0  7.07    0 0.4690 6.421  78.9  4.9671   2 242    17.8
## 153  0.02729   0.0  7.07    0 0.4690 7.185  61.1  4.9671   2 242    17.8
## 154  0.03237   0.0  2.18    0 0.4580 6.998  45.8  6.0622   3 222    18.7
## 155  0.06905   0.0  2.18    0 0.4580 7.147  54.2  6.0622   3 222    18.7
## 156  0.02985   0.0  2.18    0 0.4580 6.430  58.7  6.0622   3 222    18.7
## 157  0.08829  12.5  7.87    0 0.5240 6.012  66.6  5.5605   5 311    15.2
## 158  0.14455  12.5  7.87    0 0.5240 6.172  96.1  5.9505   5 311    15.2
## 159  0.21124  12.5  7.87    0 0.5240 5.631 100.0  6.0821   5 311    15.2
## 160  0.17004  12.5  7.87    0 0.5240 6.004  85.9  6.5921   5 311    15.2
## 161  0.22489  12.5  7.87    0 0.5240 6.377  94.3  6.3467   5 311    15.2
## 162  0.11747  12.5  7.87    0 0.5240 6.009  82.9  6.2267   5 311    15.2
## 163  0.09378  12.5  7.87    0 0.5240 5.889  39.0  5.4509   5 311    15.2
## 164  0.62976   0.0  8.14    0 0.5380 5.949  61.8  4.7075   4 307    21.0
## 165  0.63796   0.0  8.14    0 0.5380 6.096  84.5  4.4619   4 307    21.0
## 166  0.62739   0.0  8.14    0 0.5380 5.834  56.5  4.4986   4 307    21.0
## 167  1.05393   0.0  8.14    0 0.5380 5.935  29.3  4.4986   4 307    21.0
## 168  0.78420   0.0  8.14    0 0.5380 5.990  81.7  4.2579   4 307    21.0
## 169  0.80271   0.0  8.14    0 0.5380 5.456  36.6  3.7965   4 307    21.0
## 170  0.72580   0.0  8.14    0 0.5380 5.727  69.5  3.7965   4 307    21.0
## 171  1.25179   0.0  8.14    0 0.5380 5.570  98.1  3.7979   4 307    21.0
## 172  0.85204   0.0  8.14    0 0.5380 5.965  89.2  4.0123   4 307    21.0
## 173  1.23247   0.0  8.14    0 0.5380 6.142  91.7  3.9769   4 307    21.0
## 174  0.98843   0.0  8.14    0 0.5380 5.813 100.0  4.0952   4 307    21.0
## 175  0.75026   0.0  8.14    0 0.5380 5.924  94.1  4.3996   4 307    21.0
## 176  0.84054   0.0  8.14    0 0.5380 5.599  85.7  4.4546   4 307    21.0
## 177  0.67191   0.0  8.14    0 0.5380 5.813  90.3  4.6820   4 307    21.0
## 178  0.95577   0.0  8.14    0 0.5380 6.047  88.8  4.4534   4 307    21.0
## 179  0.77299   0.0  8.14    0 0.5380 6.495  94.4  4.4547   4 307    21.0
## 180  1.00245   0.0  8.14    0 0.5380 6.674  87.3  4.2390   4 307    21.0
## 181  1.13081   0.0  8.14    0 0.5380 5.713  94.1  4.2330   4 307    21.0
## 182  1.35472   0.0  8.14    0 0.5380 6.072 100.0  4.1750   4 307    21.0
## 183  1.38799   0.0  8.14    0 0.5380 5.950  82.0  3.9900   4 307    21.0
## 184  1.15172   0.0  8.14    0 0.5380 5.701  95.0  3.7872   4 307    21.0
## 185  1.61282   0.0  8.14    0 0.5380 6.096  96.9  3.7598   4 307    21.0
## 186  0.06417   0.0  5.96    0 0.4990 5.933  68.2  3.3603   5 279    19.2
## 187  0.09744   0.0  5.96    0 0.4990 5.841  61.4  3.3779   5 279    19.2
## 188  0.08014   0.0  5.96    0 0.4990 5.850  41.5  3.9342   5 279    19.2
## 189  0.17505   0.0  5.96    0 0.4990 5.966  30.2  3.8473   5 279    19.2
## 190  0.02763  75.0  2.95    0 0.4280 6.595  21.8  5.4011   3 252    18.3
## 191  0.03359  75.0  2.95    0 0.4280 7.024  15.8  5.4011   3 252    18.3
## 192  0.12744   0.0  6.91    0 0.4480 6.770   2.9  5.7209   3 233    17.9
## 193  0.14150   0.0  6.91    0 0.4480 6.169   6.6  5.7209   3 233    17.9
## 194  0.15936   0.0  6.91    0 0.4480 6.211   6.5  5.7209   3 233    17.9
## 195  0.12269   0.0  6.91    0 0.4480 6.069  40.0  5.7209   3 233    17.9
## 196  0.17142   0.0  6.91    0 0.4480 5.682  33.8  5.1004   3 233    17.9
## 197  0.18836   0.0  6.91    0 0.4480 5.786  33.3  5.1004   3 233    17.9
## 198  0.22927   0.0  6.91    0 0.4480 6.030  85.5  5.6894   3 233    17.9
## 199  0.25387   0.0  6.91    0 0.4480 5.399  95.3  5.8700   3 233    17.9
## 200  0.21977   0.0  6.91    0 0.4480 5.602  62.0  6.0877   3 233    17.9
## 201  0.08873  21.0  5.64    0 0.4390 5.963  45.7  6.8147   4 243    16.8
## 202  0.04337  21.0  5.64    0 0.4390 6.115  63.0  6.8147   4 243    16.8
## 203  0.05360  21.0  5.64    0 0.4390 6.511  21.1  6.8147   4 243    16.8
## 204  0.04981  21.0  5.64    0 0.4390 5.998  21.4  6.8147   4 243    16.8
## 205  0.01360  75.0  4.00    0 0.4100 5.888  47.6  7.3197   3 469    21.1
## 206  0.01311  90.0  1.22    0 0.4030 7.249  21.9  8.6966   5 226    17.9
## 207  0.02055  85.0  0.74    0 0.4100 6.383  35.7  9.1876   2 313    17.3
## 208  0.01432 100.0  1.32    0 0.4110 6.816  40.5  8.3248   5 256    15.1
## 209  0.15445  25.0  5.13    0 0.4530 6.145  29.2  7.8148   8 284    19.7
## 210  0.10328  25.0  5.13    0 0.4530 5.927  47.2  6.9320   8 284    19.7
## 211  0.14932  25.0  5.13    0 0.4530 5.741  66.2  7.2254   8 284    19.7
## 212  0.17171  25.0  5.13    0 0.4530 5.966  93.4  6.8185   8 284    19.7
## 213  0.11027  25.0  5.13    0 0.4530 6.456  67.8  7.2255   8 284    19.7
## 214  0.12650  25.0  5.13    0 0.4530 6.762  43.4  7.9809   8 284    19.7
## 215  0.01951  17.5  1.38    0 0.4161 7.104  59.5  9.2229   3 216    18.6
## 216  0.03584  80.0  3.37    0 0.3980 6.290  17.8  6.6115   4 337    16.1
## 217  0.04379  80.0  3.37    0 0.3980 5.787  31.1  6.6115   4 337    16.1
## 218  0.05789  12.5  6.07    0 0.4090 5.878  21.4  6.4980   4 345    18.9
## 219  0.13554  12.5  6.07    0 0.4090 5.594  36.8  6.4980   4 345    18.9
## 220  0.12816  12.5  6.07    0 0.4090 5.885  33.0  6.4980   4 345    18.9
## 221  0.08826   0.0 10.81    0 0.4130 6.417   6.6  5.2873   4 305    19.2
## 222  0.15876   0.0 10.81    0 0.4130 5.961  17.5  5.2873   4 305    19.2
## 223  0.09164   0.0 10.81    0 0.4130 6.065   7.8  5.2873   4 305    19.2
## 224  0.19539   0.0 10.81    0 0.4130 6.245   6.2  5.2873   4 305    19.2
## 225  0.07896   0.0 12.83    0 0.4370 6.273   6.0  4.2515   5 398    18.7
## 226  0.09512   0.0 12.83    0 0.4370 6.286  45.0  4.5026   5 398    18.7
## 227  0.10153   0.0 12.83    0 0.4370 6.279  74.5  4.0522   5 398    18.7
## 228  0.08707   0.0 12.83    0 0.4370 6.140  45.8  4.0905   5 398    18.7
## 229  0.05646   0.0 12.83    0 0.4370 6.232  53.7  5.0141   5 398    18.7
## 230  0.08387   0.0 12.83    0 0.4370 5.874  36.6  4.5026   5 398    18.7
## 231  0.04113  25.0  4.86    0 0.4260 6.727  33.5  5.4007   4 281    19.0
## 232  0.04462  25.0  4.86    0 0.4260 6.619  70.4  5.4007   4 281    19.0
## 233  0.03659  25.0  4.86    0 0.4260 6.302  32.2  5.4007   4 281    19.0
## 234  0.03551  25.0  4.86    0 0.4260 6.167  46.7  5.4007   4 281    19.0
## 235  0.05059   0.0  4.49    0 0.4490 6.389  48.0  4.7794   3 247    18.5
## 236  0.05735   0.0  4.49    0 0.4490 6.630  56.1  4.4377   3 247    18.5
## 237  0.05188   0.0  4.49    0 0.4490 6.015  45.1  4.4272   3 247    18.5
## 238  0.07151   0.0  4.49    0 0.4490 6.121  56.8  3.7476   3 247    18.5
## 239  0.05660   0.0  3.41    0 0.4890 7.007  86.3  3.4217   2 270    17.8
## 240  0.05302   0.0  3.41    0 0.4890 7.079  63.1  3.4145   2 270    17.8
## 241  0.04684   0.0  3.41    0 0.4890 6.417  66.1  3.0923   2 270    17.8
## 242  0.03932   0.0  3.41    0 0.4890 6.405  73.9  3.0921   2 270    17.8
## 243  0.04203  28.0 15.04    0 0.4640 6.442  53.6  3.6659   4 270    18.2
## 244  0.02875  28.0 15.04    0 0.4640 6.211  28.9  3.6659   4 270    18.2
## 245  0.04294  28.0 15.04    0 0.4640 6.249  77.3  3.6150   4 270    18.2
## 246  0.12204   0.0  2.89    0 0.4450 6.625  57.8  3.4952   2 276    18.0
## 247  0.11504   0.0  2.89    0 0.4450 6.163  69.6  3.4952   2 276    18.0
## 248  0.12083   0.0  2.89    0 0.4450 8.069  76.0  3.4952   2 276    18.0
## 249  0.08187   0.0  2.89    0 0.4450 7.820  36.9  3.4952   2 276    18.0
## 250  0.06860   0.0  2.89    0 0.4450 7.416  62.5  3.4952   2 276    18.0
## 251  0.14866   0.0  8.56    0 0.5200 6.727  79.9  2.7778   5 384    20.9
## 252  0.11432   0.0  8.56    0 0.5200 6.781  71.3  2.8561   5 384    20.9
## 253  0.22876   0.0  8.56    0 0.5200 6.405  85.4  2.7147   5 384    20.9
## 254  0.21161   0.0  8.56    0 0.5200 6.137  87.4  2.7147   5 384    20.9
## 255  0.13960   0.0  8.56    0 0.5200 6.167  90.0  2.4210   5 384    20.9
## 256  0.13262   0.0  8.56    0 0.5200 5.851  96.7  2.1069   5 384    20.9
## 257  0.17120   0.0  8.56    0 0.5200 5.836  91.9  2.2110   5 384    20.9
## 258  0.13117   0.0  8.56    0 0.5200 6.127  85.2  2.1224   5 384    20.9
## 259  0.12802   0.0  8.56    0 0.5200 6.474  97.1  2.4329   5 384    20.9
## 260  0.26363   0.0  8.56    0 0.5200 6.229  91.2  2.5451   5 384    20.9
## 261  0.10793   0.0  8.56    0 0.5200 6.195  54.4  2.7778   5 384    20.9
## 262  0.10084   0.0 10.01    0 0.5470 6.715  81.6  2.6775   6 432    17.8
## 263  0.12329   0.0 10.01    0 0.5470 5.913  92.9  2.3534   6 432    17.8
## 264  0.22212   0.0 10.01    0 0.5470 6.092  95.4  2.5480   6 432    17.8
## 265  0.14231   0.0 10.01    0 0.5470 6.254  84.2  2.2565   6 432    17.8
## 266  0.17134   0.0 10.01    0 0.5470 5.928  88.2  2.4631   6 432    17.8
## 267  0.13158   0.0 10.01    0 0.5470 6.176  72.5  2.7301   6 432    17.8
## 268  0.15098   0.0 10.01    0 0.5470 6.021  82.6  2.7474   6 432    17.8
## 269  0.13058   0.0 10.01    0 0.5470 5.872  73.1  2.4775   6 432    17.8
## 270  0.14476   0.0 10.01    0 0.5470 5.731  65.2  2.7592   6 432    17.8
## 271  0.06899   0.0 25.65    0 0.5810 5.870  69.7  2.2577   2 188    19.1
## 272  0.07165   0.0 25.65    0 0.5810 6.004  84.1  2.1974   2 188    19.1
## 273  0.09299   0.0 25.65    0 0.5810 5.961  92.9  2.0869   2 188    19.1
## 274  0.15038   0.0 25.65    0 0.5810 5.856  97.0  1.9444   2 188    19.1
## 275  0.09849   0.0 25.65    0 0.5810 5.879  95.8  2.0063   2 188    19.1
## 276  0.16902   0.0 25.65    0 0.5810 5.986  88.4  1.9929   2 188    19.1
## 277  0.38735   0.0 25.65    0 0.5810 5.613  95.6  1.7572   2 188    19.1
## 278  0.25915   0.0 21.89    0 0.6240 5.693  96.0  1.7883   4 437    21.2
## 279  0.32543   0.0 21.89    0 0.6240 6.431  98.8  1.8125   4 437    21.2
## 280  0.88125   0.0 21.89    0 0.6240 5.637  94.7  1.9799   4 437    21.2
## 281  0.34006   0.0 21.89    0 0.6240 6.458  98.9  2.1185   4 437    21.2
## 282  1.19294   0.0 21.89    0 0.6240 6.326  97.7  2.2710   4 437    21.2
## 283  0.59005   0.0 21.89    0 0.6240 6.372  97.9  2.3274   4 437    21.2
## 284  0.32982   0.0 21.89    0 0.6240 5.822  95.4  2.4699   4 437    21.2
## 285  0.97617   0.0 21.89    0 0.6240 5.757  98.4  2.3460   4 437    21.2
## 286  0.55778   0.0 21.89    0 0.6240 6.335  98.2  2.1107   4 437    21.2
## 287  0.32264   0.0 21.89    0 0.6240 5.942  93.5  1.9669   4 437    21.2
## 288  0.35233   0.0 21.89    0 0.6240 6.454  98.4  1.8498   4 437    21.2
## 289  0.24980   0.0 21.89    0 0.6240 5.857  98.2  1.6686   4 437    21.2
## 290  0.54452   0.0 21.89    0 0.6240 6.151  97.9  1.6687   4 437    21.2
## 291  0.29090   0.0 21.89    0 0.6240 6.174  93.6  1.6119   4 437    21.2
## 292  1.62864   0.0 21.89    0 0.6240 5.019 100.0  1.4394   4 437    21.2
## 293  3.32105   0.0 19.58    1 0.8710 5.403 100.0  1.3216   5 403    14.7
## 294  4.09740   0.0 19.58    0 0.8710 5.468 100.0  1.4118   5 403    14.7
## 295  2.77974   0.0 19.58    0 0.8710 4.903  97.8  1.3459   5 403    14.7
## 296  2.37934   0.0 19.58    0 0.8710 6.130 100.0  1.4191   5 403    14.7
## 297  2.15505   0.0 19.58    0 0.8710 5.628 100.0  1.5166   5 403    14.7
## 298  2.36862   0.0 19.58    0 0.8710 4.926  95.7  1.4608   5 403    14.7
## 299  2.33099   0.0 19.58    0 0.8710 5.186  93.8  1.5296   5 403    14.7
## 300  2.73397   0.0 19.58    0 0.8710 5.597  94.9  1.5257   5 403    14.7
## 301  1.65660   0.0 19.58    0 0.8710 6.122  97.3  1.6180   5 403    14.7
## 302  1.49632   0.0 19.58    0 0.8710 5.404 100.0  1.5916   5 403    14.7
## 303  1.12658   0.0 19.58    1 0.8710 5.012  88.0  1.6102   5 403    14.7
## 304  2.14918   0.0 19.58    0 0.8710 5.709  98.5  1.6232   5 403    14.7
## 305  1.41385   0.0 19.58    1 0.8710 6.129  96.0  1.7494   5 403    14.7
## 306  3.53501   0.0 19.58    1 0.8710 6.152  82.6  1.7455   5 403    14.7
## 307  2.44668   0.0 19.58    0 0.8710 5.272  94.0  1.7364   5 403    14.7
## 308  1.22358   0.0 19.58    0 0.6050 6.943  97.4  1.8773   5 403    14.7
## 309  1.34284   0.0 19.58    0 0.6050 6.066 100.0  1.7573   5 403    14.7
## 310  1.42502   0.0 19.58    0 0.8710 6.510 100.0  1.7659   5 403    14.7
## 311  1.27346   0.0 19.58    1 0.6050 6.250  92.6  1.7984   5 403    14.7
## 312  1.46336   0.0 19.58    0 0.6050 7.489  90.8  1.9709   5 403    14.7
## 313  1.83377   0.0 19.58    1 0.6050 7.802  98.2  2.0407   5 403    14.7
## 314  1.51902   0.0 19.58    1 0.6050 8.375  93.9  2.1620   5 403    14.7
## 315  2.24236   0.0 19.58    0 0.6050 5.854  91.8  2.4220   5 403    14.7
## 316  2.92400   0.0 19.58    0 0.6050 6.101  93.0  2.2834   5 403    14.7
## 317  2.01019   0.0 19.58    0 0.6050 7.929  96.2  2.0459   5 403    14.7
## 318  1.80028   0.0 19.58    0 0.6050 5.877  79.2  2.4259   5 403    14.7
## 319  2.30040   0.0 19.58    0 0.6050 6.319  96.1  2.1000   5 403    14.7
## 320  2.44953   0.0 19.58    0 0.6050 6.402  95.2  2.2625   5 403    14.7
## 321  1.20742   0.0 19.58    0 0.6050 5.875  94.6  2.4259   5 403    14.7
## 322  2.31390   0.0 19.58    0 0.6050 5.880  97.3  2.3887   5 403    14.7
## 323  0.13914   0.0  4.05    0 0.5100 5.572  88.5  2.5961   5 296    16.6
## 324  0.09178   0.0  4.05    0 0.5100 6.416  84.1  2.6463   5 296    16.6
## 325  0.08447   0.0  4.05    0 0.5100 5.859  68.7  2.7019   5 296    16.6
## 326  0.06664   0.0  4.05    0 0.5100 6.546  33.1  3.1323   5 296    16.6
## 327  0.07022   0.0  4.05    0 0.5100 6.020  47.2  3.5549   5 296    16.6
## 328  0.05425   0.0  4.05    0 0.5100 6.315  73.4  3.3175   5 296    16.6
## 329  0.06642   0.0  4.05    0 0.5100 6.860  74.4  2.9153   5 296    16.6
## 330  0.05780   0.0  2.46    0 0.4880 6.980  58.4  2.8290   3 193    17.8
## 331  0.06588   0.0  2.46    0 0.4880 7.765  83.3  2.7410   3 193    17.8
## 332  0.06888   0.0  2.46    0 0.4880 6.144  62.2  2.5979   3 193    17.8
## 333  0.09103   0.0  2.46    0 0.4880 7.155  92.2  2.7006   3 193    17.8
## 334  0.10008   0.0  2.46    0 0.4880 6.563  95.6  2.8470   3 193    17.8
## 335  0.08308   0.0  2.46    0 0.4880 5.604  89.8  2.9879   3 193    17.8
## 336  0.06047   0.0  2.46    0 0.4880 6.153  68.8  3.2797   3 193    17.8
## 337  0.05602   0.0  2.46    0 0.4880 7.831  53.6  3.1992   3 193    17.8
## 338  0.07875  45.0  3.44    0 0.4370 6.782  41.1  3.7886   5 398    15.2
## 339  0.12579  45.0  3.44    0 0.4370 6.556  29.1  4.5667   5 398    15.2
## 340  0.08370  45.0  3.44    0 0.4370 7.185  38.9  4.5667   5 398    15.2
## 341  0.09068  45.0  3.44    0 0.4370 6.951  21.5  6.4798   5 398    15.2
## 342  0.06911  45.0  3.44    0 0.4370 6.739  30.8  6.4798   5 398    15.2
## 343  0.08664  45.0  3.44    0 0.4370 7.178  26.3  6.4798   5 398    15.2
## 344  0.02187  60.0  2.93    0 0.4010 6.800   9.9  6.2196   1 265    15.6
## 345  0.01439  60.0  2.93    0 0.4010 6.604  18.8  6.2196   1 265    15.6
## 346  0.01381  80.0  0.46    0 0.4220 7.875  32.0  5.6484   4 255    14.4
## 347  0.04011  80.0  1.52    0 0.4040 7.287  34.1  7.3090   2 329    12.6
## 348  0.04666  80.0  1.52    0 0.4040 7.107  36.6  7.3090   2 329    12.6
## 349  0.03768  80.0  1.52    0 0.4040 7.274  38.3  7.3090   2 329    12.6
## 350  0.03150  95.0  1.47    0 0.4030 6.975  15.3  7.6534   3 402    17.0
## 351  0.01778  95.0  1.47    0 0.4030 7.135  13.9  7.6534   3 402    17.0
## 352  0.03445  82.5  2.03    0 0.4150 6.162  38.4  6.2700   2 348    14.7
## 353  0.02177  82.5  2.03    0 0.4150 7.610  15.7  6.2700   2 348    14.7
## 354  0.03510  95.0  2.68    0 0.4161 7.853  33.2  5.1180   4 224    14.7
## 355  0.02009  95.0  2.68    0 0.4161 8.034  31.9  5.1180   4 224    14.7
## 356  0.13642   0.0 10.59    0 0.4890 5.891  22.3  3.9454   4 277    18.6
## 357  0.22969   0.0 10.59    0 0.4890 6.326  52.5  4.3549   4 277    18.6
## 358  0.25199   0.0 10.59    0 0.4890 5.783  72.7  4.3549   4 277    18.6
## 359  0.13587   0.0 10.59    1 0.4890 6.064  59.1  4.2392   4 277    18.6
## 360  0.43571   0.0 10.59    1 0.4890 5.344 100.0  3.8750   4 277    18.6
## 361  0.17446   0.0 10.59    1 0.4890 5.960  92.1  3.8771   4 277    18.6
## 362  0.37578   0.0 10.59    1 0.4890 5.404  88.6  3.6650   4 277    18.6
## 363  0.21719   0.0 10.59    1 0.4890 5.807  53.8  3.6526   4 277    18.6
## 364  0.14052   0.0 10.59    0 0.4890 6.375  32.3  3.9454   4 277    18.6
## 365  0.28955   0.0 10.59    0 0.4890 5.412   9.8  3.5875   4 277    18.6
## 366  0.19802   0.0 10.59    0 0.4890 6.182  42.4  3.9454   4 277    18.6
## 367  0.04560   0.0 13.89    1 0.5500 5.888  56.0  3.1121   5 276    16.4
## 368  0.07013   0.0 13.89    0 0.5500 6.642  85.1  3.4211   5 276    16.4
## 369  0.11069   0.0 13.89    1 0.5500 5.951  93.8  2.8893   5 276    16.4
## 370  0.11425   0.0 13.89    1 0.5500 6.373  92.4  3.3633   5 276    16.4
## 371  0.35809   0.0  6.20    1 0.5070 6.951  88.5  2.8617   8 307    17.4
## 372  0.40771   0.0  6.20    1 0.5070 6.164  91.3  3.0480   8 307    17.4
## 373  0.62356   0.0  6.20    1 0.5070 6.879  77.7  3.2721   8 307    17.4
## 374  0.61470   0.0  6.20    0 0.5070 6.618  80.8  3.2721   8 307    17.4
## 375  0.31533   0.0  6.20    0 0.5040 8.266  78.3  2.8944   8 307    17.4
## 376  0.52693   0.0  6.20    0 0.5040 8.725  83.0  2.8944   8 307    17.4
## 377  0.38214   0.0  6.20    0 0.5040 8.040  86.5  3.2157   8 307    17.4
## 378  0.41238   0.0  6.20    0 0.5040 7.163  79.9  3.2157   8 307    17.4
## 379  0.29819   0.0  6.20    0 0.5040 7.686  17.0  3.3751   8 307    17.4
## 380  0.44178   0.0  6.20    0 0.5040 6.552  21.4  3.3751   8 307    17.4
## 381  0.53700   0.0  6.20    0 0.5040 5.981  68.1  3.6715   8 307    17.4
## 382  0.46296   0.0  6.20    0 0.5040 7.412  76.9  3.6715   8 307    17.4
## 383  0.57529   0.0  6.20    0 0.5070 8.337  73.3  3.8384   8 307    17.4
## 384  0.33147   0.0  6.20    0 0.5070 8.247  70.4  3.6519   8 307    17.4
## 385  0.44791   0.0  6.20    1 0.5070 6.726  66.5  3.6519   8 307    17.4
## 386  0.33045   0.0  6.20    0 0.5070 6.086  61.5  3.6519   8 307    17.4
## 387  0.52058   0.0  6.20    1 0.5070 6.631  76.5  4.1480   8 307    17.4
## 388  0.51183   0.0  6.20    0 0.5070 7.358  71.6  4.1480   8 307    17.4
## 389  0.08244  30.0  4.93    0 0.4280 6.481  18.5  6.1899   6 300    16.6
## 390  0.09252  30.0  4.93    0 0.4280 6.606  42.2  6.1899   6 300    16.6
## 391  0.11329  30.0  4.93    0 0.4280 6.897  54.3  6.3361   6 300    16.6
## 392  0.10612  30.0  4.93    0 0.4280 6.095  65.1  6.3361   6 300    16.6
## 393  0.10290  30.0  4.93    0 0.4280 6.358  52.9  7.0355   6 300    16.6
## 394  0.12757  30.0  4.93    0 0.4280 6.393   7.8  7.0355   6 300    16.6
## 395  0.20608  22.0  5.86    0 0.4310 5.593  76.5  7.9549   7 330    19.1
## 396  0.19133  22.0  5.86    0 0.4310 5.605  70.2  7.9549   7 330    19.1
## 397  0.33983  22.0  5.86    0 0.4310 6.108  34.9  8.0555   7 330    19.1
## 398  0.19657  22.0  5.86    0 0.4310 6.226  79.2  8.0555   7 330    19.1
## 399  0.16439  22.0  5.86    0 0.4310 6.433  49.1  7.8265   7 330    19.1
## 400  0.19073  22.0  5.86    0 0.4310 6.718  17.5  7.8265   7 330    19.1
## 401  0.14030  22.0  5.86    0 0.4310 6.487  13.0  7.3967   7 330    19.1
## 402  0.21409  22.0  5.86    0 0.4310 6.438   8.9  7.3967   7 330    19.1
## 403  0.08221  22.0  5.86    0 0.4310 6.957   6.8  8.9067   7 330    19.1
## 404  0.36894  22.0  5.86    0 0.4310 8.259   8.4  8.9067   7 330    19.1
## 405  0.04819  80.0  3.64    0 0.3920 6.108  32.0  9.2203   1 315    16.4
## 406  0.03548  80.0  3.64    0 0.3920 5.876  19.1  9.2203   1 315    16.4
## 407  0.01538  90.0  3.75    0 0.3940 7.454  34.2  6.3361   3 244    15.9
## 408  0.61154  20.0  3.97    0 0.6470 8.704  86.9  1.8010   5 264    13.0
## 409  0.66351  20.0  3.97    0 0.6470 7.333 100.0  1.8946   5 264    13.0
## 410  0.65665  20.0  3.97    0 0.6470 6.842 100.0  2.0107   5 264    13.0
## 411  0.54011  20.0  3.97    0 0.6470 7.203  81.8  2.1121   5 264    13.0
## 412  0.53412  20.0  3.97    0 0.6470 7.520  89.4  2.1398   5 264    13.0
## 413  0.52014  20.0  3.97    0 0.6470 8.398  91.5  2.2885   5 264    13.0
## 414  0.82526  20.0  3.97    0 0.6470 7.327  94.5  2.0788   5 264    13.0
## 415  0.55007  20.0  3.97    0 0.6470 7.206  91.6  1.9301   5 264    13.0
## 416  0.76162  20.0  3.97    0 0.6470 5.560  62.8  1.9865   5 264    13.0
## 417  0.78570  20.0  3.97    0 0.6470 7.014  84.6  2.1329   5 264    13.0
## 418  0.57834  20.0  3.97    0 0.5750 8.297  67.0  2.4216   5 264    13.0
## 419  0.54050  20.0  3.97    0 0.5750 7.470  52.6  2.8720   5 264    13.0
## 420  0.09065  20.0  6.96    1 0.4640 5.920  61.5  3.9175   3 223    18.6
## 421  0.29916  20.0  6.96    0 0.4640 5.856  42.1  4.4290   3 223    18.6
## 422  0.16211  20.0  6.96    0 0.4640 6.240  16.3  4.4290   3 223    18.6
## 423  0.11460  20.0  6.96    0 0.4640 6.538  58.7  3.9175   3 223    18.6
## 424  0.22188  20.0  6.96    1 0.4640 7.691  51.8  4.3665   3 223    18.6
## 425  0.05644  40.0  6.41    1 0.4470 6.758  32.9  4.0776   4 254    17.6
## 426  0.09604  40.0  6.41    0 0.4470 6.854  42.8  4.2673   4 254    17.6
## 427  0.10469  40.0  6.41    1 0.4470 7.267  49.0  4.7872   4 254    17.6
## 428  0.06127  40.0  6.41    1 0.4470 6.826  27.6  4.8628   4 254    17.6
## 429  0.07978  40.0  6.41    0 0.4470 6.482  32.1  4.1403   4 254    17.6
## 430  0.21038  20.0  3.33    0 0.4429 6.812  32.2  4.1007   5 216    14.9
## 431  0.03578  20.0  3.33    0 0.4429 7.820  64.5  4.6947   5 216    14.9
## 432  0.03705  20.0  3.33    0 0.4429 6.968  37.2  5.2447   5 216    14.9
## 433  0.06129  20.0  3.33    1 0.4429 7.645  49.7  5.2119   5 216    14.9
## 434  0.01501  90.0  1.21    1 0.4010 7.923  24.8  5.8850   1 198    13.6
## 435  0.00906  90.0  2.97    0 0.4000 7.088  20.8  7.3073   1 285    15.3
## 436  0.01096  55.0  2.25    0 0.3890 6.453  31.9  7.3073   1 300    15.3
## 437  0.01965  80.0  1.76    0 0.3850 6.230  31.5  9.0892   1 241    18.2
## 438  0.03871  52.5  5.32    0 0.4050 6.209  31.3  7.3172   6 293    16.6
## 439  0.04590  52.5  5.32    0 0.4050 6.315  45.6  7.3172   6 293    16.6
## 440  0.04297  52.5  5.32    0 0.4050 6.565  22.9  7.3172   6 293    16.6
## 441  0.03502  80.0  4.95    0 0.4110 6.861  27.9  5.1167   4 245    19.2
## 442  0.07886  80.0  4.95    0 0.4110 7.148  27.7  5.1167   4 245    19.2
## 443  0.03615  80.0  4.95    0 0.4110 6.630  23.4  5.1167   4 245    19.2
## 444  0.08265   0.0 13.92    0 0.4370 6.127  18.4  5.5027   4 289    16.0
## 445  0.08199   0.0 13.92    0 0.4370 6.009  42.3  5.5027   4 289    16.0
## 446  0.12932   0.0 13.92    0 0.4370 6.678  31.1  5.9604   4 289    16.0
## 447  0.05372   0.0 13.92    0 0.4370 6.549  51.0  5.9604   4 289    16.0
## 448  0.14103   0.0 13.92    0 0.4370 5.790  58.0  6.3200   4 289    16.0
## 449  0.06466  70.0  2.24    0 0.4000 6.345  20.1  7.8278   5 358    14.8
## 450  0.05561  70.0  2.24    0 0.4000 7.041  10.0  7.8278   5 358    14.8
## 451  0.04417  70.0  2.24    0 0.4000 6.871  47.4  7.8278   5 358    14.8
## 452  0.03537  34.0  6.09    0 0.4330 6.590  40.4  5.4917   7 329    16.1
## 453  0.09266  34.0  6.09    0 0.4330 6.495  18.4  5.4917   7 329    16.1
## 454  0.10000  34.0  6.09    0 0.4330 6.982  17.7  5.4917   7 329    16.1
## 455  0.05515  33.0  2.18    0 0.4720 7.236  41.1  4.0220   7 222    18.4
## 456  0.05479  33.0  2.18    0 0.4720 6.616  58.1  3.3700   7 222    18.4
## 457  0.07503  33.0  2.18    0 0.4720 7.420  71.9  3.0992   7 222    18.4
## 458  0.04932  33.0  2.18    0 0.4720 6.849  70.3  3.1827   7 222    18.4
## 459  0.49298   0.0  9.90    0 0.5440 6.635  82.5  3.3175   4 304    18.4
## 460  0.34940   0.0  9.90    0 0.5440 5.972  76.7  3.1025   4 304    18.4
## 461  2.63548   0.0  9.90    0 0.5440 4.973  37.8  2.5194   4 304    18.4
## 462  0.79041   0.0  9.90    0 0.5440 6.122  52.8  2.6403   4 304    18.4
## 463  0.26169   0.0  9.90    0 0.5440 6.023  90.4  2.8340   4 304    18.4
## 464  0.26938   0.0  9.90    0 0.5440 6.266  82.8  3.2628   4 304    18.4
## 465  0.36920   0.0  9.90    0 0.5440 6.567  87.3  3.6023   4 304    18.4
## 466  0.25356   0.0  9.90    0 0.5440 5.705  77.7  3.9450   4 304    18.4
## 467  0.31827   0.0  9.90    0 0.5440 5.914  83.2  3.9986   4 304    18.4
## 468  0.24522   0.0  9.90    0 0.5440 5.782  71.7  4.0317   4 304    18.4
## 469  0.40202   0.0  9.90    0 0.5440 6.382  67.2  3.5325   4 304    18.4
## 470  0.47547   0.0  9.90    0 0.5440 6.113  58.8  4.0019   4 304    18.4
## 471  0.16760   0.0  7.38    0 0.4930 6.426  52.3  4.5404   5 287    19.6
## 472  0.18159   0.0  7.38    0 0.4930 6.376  54.3  4.5404   5 287    19.6
## 473  0.35114   0.0  7.38    0 0.4930 6.041  49.9  4.7211   5 287    19.6
## 474  0.28392   0.0  7.38    0 0.4930 5.708  74.3  4.7211   5 287    19.6
## 475  0.34109   0.0  7.38    0 0.4930 6.415  40.1  4.7211   5 287    19.6
## 476  0.19186   0.0  7.38    0 0.4930 6.431  14.7  5.4159   5 287    19.6
## 477  0.30347   0.0  7.38    0 0.4930 6.312  28.9  5.4159   5 287    19.6
## 478  0.24103   0.0  7.38    0 0.4930 6.083  43.7  5.4159   5 287    19.6
## 479  0.06617   0.0  3.24    0 0.4600 5.868  25.8  5.2146   4 430    16.9
## 480  0.06724   0.0  3.24    0 0.4600 6.333  17.2  5.2146   4 430    16.9
## 481  0.04544   0.0  3.24    0 0.4600 6.144  32.2  5.8736   4 430    16.9
## 482  0.05023  35.0  6.06    0 0.4379 5.706  28.4  6.6407   1 304    16.9
## 483  0.03466  35.0  6.06    0 0.4379 6.031  23.3  6.6407   1 304    16.9
## 484  0.05083   0.0  5.19    0 0.5150 6.316  38.1  6.4584   5 224    20.2
## 485  0.03738   0.0  5.19    0 0.5150 6.310  38.5  6.4584   5 224    20.2
## 486  0.03961   0.0  5.19    0 0.5150 6.037  34.5  5.9853   5 224    20.2
## 487  0.03427   0.0  5.19    0 0.5150 5.869  46.3  5.2311   5 224    20.2
## 488  0.03041   0.0  5.19    0 0.5150 5.895  59.6  5.6150   5 224    20.2
## 489  0.03306   0.0  5.19    0 0.5150 6.059  37.3  4.8122   5 224    20.2
## 490  0.05497   0.0  5.19    0 0.5150 5.985  45.4  4.8122   5 224    20.2
## 491  0.06151   0.0  5.19    0 0.5150 5.968  58.5  4.8122   5 224    20.2
## 492  0.01301  35.0  1.52    0 0.4420 7.241  49.3  7.0379   1 284    15.5
## 493  0.02498   0.0  1.89    0 0.5180 6.540  59.7  6.2669   1 422    15.9
## 494  0.02543  55.0  3.78    0 0.4840 6.696  56.4  5.7321   5 370    17.6
## 495  0.03049  55.0  3.78    0 0.4840 6.874  28.1  6.4654   5 370    17.6
## 496  0.03113   0.0  4.39    0 0.4420 6.014  48.5  8.0136   3 352    18.8
## 497  0.06162   0.0  4.39    0 0.4420 5.898  52.3  8.0136   3 352    18.8
## 498  0.01870  85.0  4.15    0 0.4290 6.516  27.7  8.5353   4 351    17.9
## 499  0.01501  80.0  2.01    0 0.4350 6.635  29.7  8.3440   4 280    17.0
## 500  0.02899  40.0  1.25    0 0.4290 6.939  34.5  8.7921   1 335    19.7
## 501  0.06211  40.0  1.25    0 0.4290 6.490  44.4  8.7921   1 335    19.7
## 502  0.07950  60.0  1.69    0 0.4110 6.579  35.9 10.7103   4 411    18.3
## 503  0.07244  60.0  1.69    0 0.4110 5.884  18.5 10.7103   4 411    18.3
## 504  0.01709  90.0  2.02    0 0.4100 6.728  36.1 12.1265   5 187    17.0
## 505  0.04301  80.0  1.91    0 0.4130 5.663  21.9 10.5857   4 334    22.0
## 506  0.10659  80.0  1.91    0 0.4130 5.936  19.5 10.5857   4 334    22.0
##          B LSTAT
## 1   377.73 17.60
## 2   391.34 13.27
## 3   395.43 11.48
## 4   390.74 12.67
## 5   374.56  7.79
## 6   350.65 14.19
## 7   380.79 10.19
## 8   353.04 14.64
## 9   354.55  5.29
## 10  354.70  7.12
## 11  316.03 14.00
## 12  131.42 13.33
## 13  375.52  3.26
## 14  375.33  3.73
## 15  392.05  2.96
## 16  366.15  9.53
## 17  347.88  8.88
## 18  396.90 34.77
## 19  396.90 37.97
## 20  396.90 13.44
## 21  363.02 23.24
## 22  396.90 21.24
## 23  396.90 23.69
## 24  393.74 21.78
## 25  396.90 17.21
## 26  396.90 21.08
## 27  396.90 23.60
## 28  396.90 24.56
## 29  285.83 30.63
## 30  396.90 30.81
## 31  396.90 28.28
## 32  396.90 31.99
## 33  372.92 30.62
## 34  396.90 20.85
## 35  394.43 17.11
## 36  378.38 18.76
## 37  396.90 25.68
## 38  396.90 15.17
## 39  396.90 16.35
## 40  391.98 17.12
## 41  396.90 19.37
## 42  393.10 19.92
## 43  396.90 30.59
## 44  338.16 29.97
## 45  396.90 26.77
## 46  396.90 20.32
## 47  376.11 20.31
## 48  396.90 19.77
## 49  329.46 27.38
## 50  384.97 22.98
## 51  370.22 23.34
## 52  332.09 12.13
## 53  314.64 26.40
## 54  179.36 19.78
## 55    2.60 10.11
## 56   35.05 21.22
## 57   28.79 34.37
## 58  210.97 20.08
## 59   88.27 36.98
## 60   27.25 29.05
## 61   21.57 25.79
## 62  127.36 26.64
## 63   16.45 20.62
## 64   48.45 22.74
## 65  318.75 15.02
## 66  319.98 15.70
## 67  291.55 14.10
## 68    2.52 23.29
## 69    3.65 17.16
## 70    7.68 24.39
## 71   24.65 15.69
## 72   18.82 14.52
## 73   96.73 21.52
## 74   60.72 24.08
## 75   83.45 17.64
## 76   81.33 19.69
## 77   97.95 12.03
## 78  100.19 16.22
## 79  100.63 15.17
## 80  109.85 23.27
## 81   27.49 18.05
## 82    9.32 26.45
## 83   68.95 34.02
## 84  396.90 22.88
## 85  391.45 22.11
## 86  385.96 19.52
## 87  395.69 16.59
## 88  386.73 18.85
## 89  240.52 23.79
## 90   43.06 23.98
## 91  318.01 17.79
## 92  388.52 16.44
## 93  396.90 18.13
## 94  304.21 19.31
## 95    0.32 17.44
## 96  355.29 17.73
## 97  385.09 17.27
## 98  375.87 16.74
## 99    6.68 18.71
## 100  50.92 18.13
## 101  10.48 19.01
## 102   3.50 16.94
## 103 272.21 16.23
## 104 396.90 14.70
## 105 255.23 16.42
## 106 391.43 14.65
## 107 396.90 13.99
## 108 393.82 10.29
## 109 396.90 13.22
## 110 334.40 14.13
## 111  22.01 17.15
## 112 331.29 21.32
## 113 368.74 18.13
## 114 396.90 14.76
## 115 396.90 16.29
## 116 395.33 12.87
## 117 393.37 14.36
## 118 374.68 11.66
## 119 352.58 18.14
## 120 302.76 24.10
## 121 396.21 18.68
## 122 349.48 24.91
## 123 379.70 18.03
## 124 383.32 13.11
## 125 396.90 10.74
## 126 393.07  7.74
## 127 395.28  7.01
## 128 392.92 10.42
## 129 370.73 13.34
## 130 388.62 10.58
## 131 392.68 14.98
## 132 388.22 11.45
## 133 395.09 18.06
## 134 344.05 23.97
## 135 318.43 29.68
## 136 390.11 18.07
## 137 396.90 13.35
## 138 396.90 12.01
## 139 396.90 13.59
## 140 393.29 17.60
## 141 396.90 21.14
## 142 396.90 14.10
## 143 396.90 12.92
## 144 395.77 15.10
## 145 396.90 14.33
## 146 391.99  9.67
## 147 396.90  9.08
## 148 396.90  5.64
## 149 393.45  6.48
## 150 396.90  7.88
## 151 396.90  4.98
## 152 396.90  9.14
## 153 392.83  4.03
## 154 394.63  2.94
## 155 396.90  5.33
## 156 394.12  5.21
## 157 395.60 12.43
## 158 396.90 19.15
## 159 386.63 29.93
## 160 386.71 17.10
## 161 392.52 20.45
## 162 396.90 13.27
## 163 390.50 15.71
## 164 396.90  8.26
## 165 380.02 10.26
## 166 395.62  8.47
## 167 386.85  6.58
## 168 386.75 14.67
## 169 288.99 11.69
## 170 390.95 11.28
## 171 376.57 21.02
## 172 392.53 13.83
## 173 396.90 18.72
## 174 394.54 19.88
## 175 394.33 16.30
## 176 303.42 16.51
## 177 376.88 14.81
## 178 306.38 17.28
## 179 387.94 12.80
## 180 380.23 11.98
## 181 360.17 22.60
## 182 376.73 13.04
## 183 232.60 27.71
## 184 358.77 18.35
## 185 248.31 20.34
## 186 396.90  9.68
## 187 377.56 11.41
## 188 396.90  8.77
## 189 393.43 10.13
## 190 395.63  4.32
## 191 395.62  1.98
## 192 385.41  4.84
## 193 383.37  5.81
## 194 394.46  7.44
## 195 389.39  9.55
## 196 396.90 10.21
## 197 396.90 14.15
## 198 392.74 18.80
## 199 396.90 30.81
## 200 396.90 16.20
## 201 395.56 13.45
## 202 393.97  9.43
## 203 396.90  5.28
## 204 396.90  8.43
## 205 396.90 14.80
## 206 395.93  4.81
## 207 396.90  5.77
## 208 392.90  3.95
## 209 390.68  6.86
## 210 396.90  9.22
## 211 395.11 13.15
## 212 378.08 14.44
## 213 396.90  6.73
## 214 395.58  9.50
## 215 393.24  8.05
## 216 396.90  4.67
## 217 396.90 10.24
## 218 396.21  8.10
## 219 396.90 13.09
## 220 396.90  8.79
## 221 383.73  6.72
## 222 376.94  9.88
## 223 390.91  5.52
## 224 377.17  7.54
## 225 394.92  6.78
## 226 383.23  8.94
## 227 373.66 11.97
## 228 386.96 10.27
## 229 386.40 12.34
## 230 396.06  9.10
## 231 396.90  5.29
## 232 395.63  7.22
## 233 396.90  6.72
## 234 390.64  7.51
## 235 396.90  9.62
## 236 392.30  6.53
## 237 395.99 12.86
## 238 395.15  8.44
## 239 396.90  5.50
## 240 396.06  5.70
## 241 392.18  8.81
## 242 393.55  8.20
## 243 395.01  8.16
## 244 396.33  6.21
## 245 396.90 10.59
## 246 357.98  6.65
## 247 391.83 11.34
## 248 396.90  4.21
## 249 393.53  3.57
## 250 396.90  6.19
## 251 394.76  9.42
## 252 395.58  7.67
## 253  70.80 10.63
## 254 394.47 13.44
## 255 392.69 12.33
## 256 394.05 16.47
## 257 395.67 18.66
## 258 387.69 14.09
## 259 395.24 12.27
## 260 391.23 15.55
## 261 393.49 13.00
## 262 395.59 10.16
## 263 394.95 16.21
## 264 396.90 17.09
## 265 388.74 10.45
## 266 344.91 15.76
## 267 393.30 12.04
## 268 394.51 10.30
## 269 338.63 15.37
## 270 391.50 13.61
## 271 389.15 14.37
## 272 377.67 14.27
## 273 378.09 17.93
## 274 370.31 25.41
## 275 379.38 17.58
## 276 385.02 14.81
## 277 359.29 27.26
## 278 392.11 17.19
## 279 396.90 15.39
## 280 396.90 18.34
## 281 395.04 12.60
## 282 396.90 12.26
## 283 385.76 11.12
## 284 388.69 15.03
## 285 262.76 17.31
## 286 394.67 16.96
## 287 378.25 16.90
## 288 394.08 14.59
## 289 392.04 21.32
## 290 396.90 18.46
## 291 388.08 24.16
## 292 396.90 34.41
## 293 396.90 26.82
## 294 396.90 26.42
## 295 396.90 29.29
## 296 172.91 27.80
## 297 169.27 16.65
## 298 391.71 29.53
## 299 356.99 28.32
## 300 351.85 21.45
## 301 372.80 14.10
## 302 341.60 13.28
## 303 343.28 12.12
## 304 261.95 15.79
## 305 321.02 15.12
## 306  88.01 15.02
## 307  88.63 16.14
## 308 363.43  4.59
## 309 353.89  6.43
## 310 364.31  7.39
## 311 338.92  5.50
## 312 374.43  1.73
## 313 389.61  1.92
## 314 388.45  3.32
## 315 395.11 11.64
## 316 240.16  9.81
## 317 369.30  3.70
## 318 227.61 12.14
## 319 297.09 11.10
## 320 330.04 11.32
## 321 292.29 14.43
## 322 348.13 12.03
## 323 396.90 14.69
## 324 395.50  9.04
## 325 393.23  9.64
## 326 390.96  5.33
## 327 393.23 10.11
## 328 395.60  6.29
## 329 391.27  6.92
## 330 396.90  5.04
## 331 395.56  7.56
## 332 396.90  9.45
## 333 394.12  4.82
## 334 396.90  5.68
## 335 391.00 13.98
## 336 387.11 13.15
## 337 392.63  4.45
## 338 393.87  6.68
## 339 382.84  4.56
## 340 396.90  5.39
## 341 377.68  5.10
## 342 389.71  4.69
## 343 390.49  2.87
## 344 393.37  5.03
## 345 376.70  4.38
## 346 394.23  2.97
## 347 396.90  4.08
## 348 354.31  8.61
## 349 392.20  6.62
## 350 396.90  4.56
## 351 384.30  4.45
## 352 393.77  7.43
## 353 395.38  3.11
## 354 392.78  3.81
## 355 390.55  2.88
## 356 396.90 10.87
## 357 394.87 10.97
## 358 389.43 18.06
## 359 381.32 14.66
## 360 396.90 23.09
## 361 393.25 17.27
## 362 395.24 23.98
## 363 390.94 16.03
## 364 385.81  9.38
## 365 348.93 29.55
## 366 393.63  9.47
## 367 392.80 13.51
## 368 392.78  9.69
## 369 396.90 17.92
## 370 393.74 10.50
## 371 391.70  9.71
## 372 395.24 21.46
## 373 390.39  9.93
## 374 396.90  7.60
## 375 385.05  4.14
## 376 382.00  4.63
## 377 387.38  3.13
## 378 372.08  6.36
## 379 377.51  3.92
## 380 380.34  3.76
## 381 378.35 11.65
## 382 376.14  5.25
## 383 385.91  2.47
## 384 378.95  3.95
## 385 360.20  8.05
## 386 376.75 10.88
## 387 388.45  9.54
## 388 390.07  4.73
## 389 379.41  6.36
## 390 383.78  7.37
## 391 391.25 11.38
## 392 394.62 12.40
## 393 372.75 11.22
## 394 374.71  5.19
## 395 372.49 12.50
## 396 389.13 18.46
## 397 390.18  9.16
## 398 376.14 10.15
## 399 374.71  9.52
## 400 393.74  6.56
## 401 396.28  5.90
## 402 377.07  3.59
## 403 386.09  3.53
## 404 396.90  3.54
## 405 392.89  6.57
## 406 395.18  9.25
## 407 386.34  3.11
## 408 389.70  5.12
## 409 383.29  7.79
## 410 391.93  6.90
## 411 392.80  9.59
## 412 388.37  7.26
## 413 386.86  5.91
## 414 393.42 11.25
## 415 387.89  8.10
## 416 392.40 10.45
## 417 384.07 14.79
## 418 384.54  7.44
## 419 390.30  3.16
## 420 391.34 13.65
## 421 388.65 13.00
## 422 396.90  6.59
## 423 394.96  7.73
## 424 390.77  6.58
## 425 396.90  3.53
## 426 396.90  2.98
## 427 389.25  6.05
## 428 393.45  4.16
## 429 396.90  7.19
## 430 396.90  4.85
## 431 387.31  3.76
## 432 392.23  4.59
## 433 377.07  3.01
## 434 395.52  3.16
## 435 394.72  7.85
## 436 394.72  8.23
## 437 341.60 12.93
## 438 396.90  7.14
## 439 396.90  7.60
## 440 371.72  9.51
## 441 396.90  3.33
## 442 396.90  3.56
## 443 396.90  4.70
## 444 396.90  8.58
## 445 396.90 10.40
## 446 396.90  6.27
## 447 392.85  7.39
## 448 396.90 15.84
## 449 368.24  4.97
## 450 371.58  4.74
## 451 390.86  6.07
## 452 395.75  9.50
## 453 383.61  8.67
## 454 390.43  4.86
## 455 393.68  6.93
## 456 393.36  8.93
## 457 396.90  6.47
## 458 396.90  7.53
## 459 396.90  4.54
## 460 396.24  9.97
## 461 350.45 12.64
## 462 396.90  5.98
## 463 396.30 11.72
## 464 393.39  7.90
## 465 395.69  9.28
## 466 396.42 11.50
## 467 390.70 18.33
## 468 396.90 15.94
## 469 395.21 10.36
## 470 396.23 12.73
## 471 396.90  7.20
## 472 396.90  6.87
## 473 396.90  7.70
## 474 391.13 11.74
## 475 396.90  6.12
## 476 393.68  5.08
## 477 396.90  6.15
## 478 396.90 12.79
## 479 382.44  9.97
## 480 375.21  7.34
## 481 368.57  9.09
## 482 394.02 12.43
## 483 362.25  7.83
## 484 389.71  5.68
## 485 389.40  6.75
## 486 396.90  8.01
## 487 396.90  9.80
## 488 394.81 10.56
## 489 396.14  8.51
## 490 396.90  9.74
## 491 396.90  9.29
## 492 394.74  5.49
## 493 389.96  8.65
## 494 396.90  7.18
## 495 387.97  4.61
## 496 385.64 10.53
## 497 364.61 12.67
## 498 392.43  6.36
## 499 390.94  5.99
## 500 389.85  5.89
## 501 396.90  5.98
## 502 370.78  5.49
## 503 392.33  7.79
## 504 384.46  4.50
## 505 382.80  8.05
## 506 376.04  5.57
library(maps)
## Warning: package 'maps' was built under R version 3.6.2
library(fpc)
## Warning: package 'fpc' was built under R version 3.6.2
library(cluster)
## 
## Attaching package: 'cluster'
## The following object is masked from 'package:maps':
## 
##     votes.repub

K-means clustering:

bostonk1 <- read.csv("../datafiles/boston6k.csv")
bostonseq <- bostonk1[, seq(9,21)]
bostonscale <- scale(bostonseq)
ch.out <- rep(NA,20) ## Calinksi index
sil.out <- rep(NA,20) ## Silhouette index
for (i in 2:20) {
boston.kmeans <- kmeans(bostonscale, centers= i, nstart = 50)
ch.out[i] <- calinhara(bostonscale, boston.kmeans$cluster)
tmp <- silhouette(boston.kmeans$cluster, dist(bostonscale))
sil.out[i] <- mean(tmp[,3])}
plot(1:20, ch.out, type = 'b', lwd = 2, xlab = "N Groups", ylab = "C", main = "CalinHara Index")

Graphically, two clusters give us the best solution.

Is this the best solution?

In practice, this could be an oversimplification of reality and more clusters might tell more of a story. Boston is an old and complex city and would be better explained with more clusters.

Re-run K-means with a different number:

ngrp <- 5
boston.kmeans2 <- kmeans(bostonscale, ngrp, nstart = 50,iter.max = 20)
table(boston.kmeans2$cluster)
## 
##   1   2   3   4   5 
##  34  84  39 230 119

Using the aggregate() function, provide a table showing the median the variables used in clustering.

bostonagg <- aggregate(bostonscale, list(boston.kmeans2$cluster ),median)
bostonagg
##   Group.1       CRIM         ZN      INDUS       CHAS         NOX
## 1       1 -0.3638042 -0.4872402  0.4013236  3.6647712 -0.04051738
## 2       2 -0.4151037  1.8174059 -1.1219217 -0.2723291 -1.10198154
## 3       3  1.0037355 -0.4872402  1.0149946 -0.2723291  1.07272553
## 4       4 -0.4020968 -0.4872402 -0.5118948 -0.2723291 -0.38570897
## 5       5  0.2461926 -0.4872402  1.0149946 -0.2723291  1.19354259
##            RM         AGE         DIS        RAD        TAX     PTRATIO
## 1 -0.07633515  0.70962369 -0.39245320 -0.5224844 -0.6006817 -0.39517558
## 2  0.60113195 -1.33664025  1.48646163 -0.6373311 -0.6184819 -0.85708096
## 3 -0.13041866  0.87836941 -0.89321064  1.6596029  1.5294129  0.80577843
## 4 -0.20798580  0.04885096 -0.01963361 -0.5224844 -0.6303487 -0.02565127
## 5 -0.40083620  0.99560328 -0.91600580  1.6596029  1.5294129  0.80577843
##            B      LSTAT
## 1  0.3713897 -0.2328874
## 2  0.3986639 -0.9778747
## 3 -3.3761377  0.9980220
## 4  0.4007451 -0.3932277
## 5  0.3662415  0.7109499

In 1-2 sentences, describe the characteristics of the clusters:

Cluster one has exceptionally high crime rates, high proportions of non-retail business acres, and high nitric oxcides concentration.

Cluster four has the lowest crim rates, the most residential land zoned, the lowest proportion of non-retail business acres, and is the newest area.

Cluster five has the oldest owner-occupied units, high accessibility to radial highways, and a somewhat high percent of lower status population.

Report the mean corrected house value per cluster

mean(bostonk1$CMEDV[boston.kmeans2$cluster==1])
## [1] 27.80588

Use anova() to test whether the values are significantly different between clusters. You will need the vector of house prices/values and the vector of clusters from kmeans(). Give the F-statistic and the p-value

bos.lm = lm(bostonk1$CMEDV ~ boston.kmeans2$cluster)
bos.lm
## 
## Call:
## lm(formula = bostonk1$CMEDV ~ boston.kmeans2$cluster)
## 
## Coefficients:
##            (Intercept)  boston.kmeans2$cluster  
##                 32.158                  -2.657
anova(bos.lm)
## Analysis of Variance Table
## 
## Response: bostonk1$CMEDV
##                         Df Sum Sq Mean Sq F value    Pr(>F)    
## boston.kmeans2$cluster   1   5143  5142.9  69.241 8.223e-16 ***
## Residuals              504  37435    74.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(anova(bos.lm))
##        Df            Sum Sq         Mean Sq           F value     
##  Min.   :  1.0   Min.   : 5143   Min.   :  74.28   Min.   :69.24  
##  1st Qu.:126.8   1st Qu.:13216   1st Qu.:1341.43   1st Qu.:69.24  
##  Median :252.5   Median :21289   Median :2608.58   Median :69.24  
##  Mean   :252.5   Mean   :21289   Mean   :2608.58   Mean   :69.24  
##  3rd Qu.:378.2   3rd Qu.:29362   3rd Qu.:3875.73   3rd Qu.:69.24  
##  Max.   :504.0   Max.   :37435   Max.   :5142.88   Max.   :69.24  
##                                                    NA's   :1      
##      Pr(>F) 
##  Min.   :0  
##  1st Qu.:0  
##  Median :0  
##  Mean   :0  
##  3rd Qu.:0  
##  Max.   :0  
##  NA's   :1

F statistic: 2.613
p-value: 0.1066

Exercise 2

Read in data & perform principal component analysis(PCA)

wnaclim2 <- read.csv("../datafiles/wnaclim2.csv")
library("fields")
## Warning: package 'fields' was built under R version 3.6.2
## Loading required package: spam
## Warning: package 'spam' was built under R version 3.6.2
## Loading required package: dotCall64
## Warning: package 'dotCall64' was built under R version 3.6.2
## Loading required package: grid
## Spam version 2.6-0 (2020-12-14) is loaded.
## Type 'help( Spam)' or 'demo( spam)' for a short introduction 
## and overview of this package.
## Help for individual functions is also obtained by adding the
## suffix '.spam' to the function name, e.g. 'help( chol.spam)'.
## 
## Attaching package: 'spam'
## The following objects are masked from 'package:base':
## 
##     backsolve, forwardsolve
## Loading required package: viridis
## Loading required package: viridisLite
## See https://github.com/NCAR/Fields for
##  an extensive vignette, other supplements and source code

Extract temperature and precipitation, PCA, scale, screeplot, biplot

wnaclim = wnaclim2[, seq(3,26)]
#Principal component analysis & scale: 
wnaclimtp.pca <- prcomp(wnaclim, scale = TRUE)
#makebiplot
biplot(wnaclimtp.pca)

#screeplot
screeplot(wnaclimtp.pca)

summary(wnaclimtp.pca)
## Importance of components:
##                           PC1    PC2    PC3     PC4     PC5     PC6
## Standard deviation     3.4612 2.8065 1.5846 0.84733 0.63986 0.51316
## Proportion of Variance 0.4992 0.3282 0.1046 0.02992 0.01706 0.01097
## Cumulative Proportion  0.4992 0.8274 0.9320 0.96190 0.97896 0.98993
##                            PC7     PC8     PC9    PC10    PC11    PC12
## Standard deviation     0.29261 0.20707 0.17437 0.15014 0.13534 0.10798
## Proportion of Variance 0.00357 0.00179 0.00127 0.00094 0.00076 0.00049
## Cumulative Proportion  0.99350 0.99528 0.99655 0.99749 0.99825 0.99874
##                           PC13    PC14    PC15    PC16    PC17    PC18
## Standard deviation     0.09353 0.08322 0.06116 0.05676 0.04584 0.04161
## Proportion of Variance 0.00036 0.00029 0.00016 0.00013 0.00009 0.00007
## Cumulative Proportion  0.99910 0.99939 0.99955 0.99968 0.99977 0.99984
##                           PC19    PC20    PC21    PC22    PC23    PC24
## Standard deviation     0.03439 0.02946 0.02562 0.02411 0.01802 0.01392
## Proportion of Variance 0.00005 0.00004 0.00003 0.00002 0.00001 0.00001
## Cumulative Proportion  0.99989 0.99993 0.99995 0.99998 0.99999 1.00000

Give the total variance from the second PCA. Calculate the total percentage of variance explained by axes 1 and 2 (use summary())

Total variance from PCA2: 32.82%
Total percentage of variance explained by axes 1 & 2: 82.74%

Examine Loadings

wnaclimtp.pca$rotation
##             PC1         PC2          PC3           PC4         PC5
## tjan 0.27154635 -0.07007925  0.080386417 -0.1634473814  0.29901716
## tfeb 0.27524689 -0.07830351  0.051384208 -0.0792929685  0.26587174
## tmar 0.27484658 -0.09367701 -0.001067899  0.0006366441  0.19086484
## tapr 0.26473010 -0.12257641 -0.076298000  0.1052955242  0.03981628
## tmay 0.23877755 -0.16889072 -0.127271902  0.1251598792 -0.21848109
## tjun 0.20220435 -0.21701738 -0.139841033  0.0811805985 -0.44268300
## tjul 0.20390908 -0.22851811 -0.090041235  0.0981226254 -0.35337585
## taug 0.22863878 -0.20271341 -0.057726655  0.1081761983 -0.22777782
## tsep 0.25186014 -0.16881584 -0.031188367 -0.0252319485 -0.11100418
## toct 0.26714245 -0.12423680 -0.014213457  0.0039586317  0.12864795
## tnov 0.27214789 -0.09552584  0.029032040 -0.0776651476  0.26276447
## tdec 0.27301687 -0.07380880  0.068758839 -0.1472904833  0.28523902
## pjan 0.16803736  0.25995212  0.198293078 -0.0491302786 -0.14878411
## pfeb 0.17102216  0.26393484  0.174815508 -0.0779200398 -0.13546314
## pmar 0.17796187  0.25650454  0.169544577 -0.0684787805 -0.08941670
## papr 0.17074339  0.27824680  0.066073520  0.0873621609 -0.01709438
## pmay 0.14748106  0.25905950 -0.096201569  0.4454588155  0.21475276
## pjun 0.05730680  0.23790590 -0.271290553  0.6551603362  0.14238968
## pjul 0.01369406  0.10097126 -0.573535723 -0.1391139500  0.07054361
## paug 0.03206302  0.14782502 -0.519764989 -0.4064516753  0.01206271
## psep 0.10354548  0.26528778 -0.300542026 -0.1481576621 -0.04780745
## poct 0.13939969  0.28759576 -0.081905529 -0.1479311802 -0.16441200
## pnov 0.16303542  0.27829605  0.141217106 -0.0566592085 -0.16857230
## pdec 0.16860662  0.26639834  0.170927455 -0.0622112513 -0.15532094
##                PC6          PC7          PC8         PC9         PC10
## tjan -0.0284108206  0.006685677  0.150748941 -0.03370819  0.295282973
## tfeb  0.0003503783  0.136618117  0.096325727  0.05374427  0.146770345
## tmar  0.0472553831  0.299836795  0.107879864  0.12796171 -0.002868388
## tapr  0.1142053327  0.361840941  0.005051047  0.18027931 -0.245606706
## tmay  0.1162681105  0.391610249  0.152998679  0.14131428 -0.153895952
## tjun  0.0336846593  0.059413350  0.153361302  0.08729649  0.185251391
## tjul -0.0968873526 -0.282122219  0.078633470 -0.02281332  0.111072241
## taug -0.1100855056 -0.269202717 -0.078353138 -0.16060487  0.002348289
## tsep -0.0494334800 -0.197844681 -0.135371606 -0.17154105  0.019210005
## toct -0.0108001461 -0.228312237 -0.393469988 -0.13609013 -0.315583081
## tnov -0.0341735253 -0.123895015 -0.174524477 -0.10198795 -0.168381612
## tdec -0.0376637342 -0.070659399  0.019616400 -0.04699441  0.196876851
## pjan  0.2458067285  0.032089376 -0.048645619 -0.21338581  0.001100698
## pfeb  0.1820140769 -0.040185881 -0.011301000  0.07554311 -0.126403221
## pmar  0.2288319443 -0.177170757  0.160725487  0.13544683 -0.309717304
## papr -0.0925172437 -0.305189314  0.271689204  0.39781282 -0.204745692
## pmay -0.1948655497 -0.258064679  0.241986147  0.13372542  0.183453709
## pjun  0.1213474134  0.141181422 -0.086059500 -0.36227611  0.043038183
## pjul  0.4811346946 -0.176731790 -0.383344278  0.38567024  0.178533100
## paug  0.0604580646 -0.072069255  0.509760728 -0.38851386 -0.032443473
## psep -0.4843787725  0.196824537 -0.149665107 -0.09624515 -0.407497122
## poct -0.4759093700  0.159625862 -0.266370371  0.26037169  0.346421923
## pnov  0.0644439203  0.128788161 -0.117454901 -0.17604085  0.237115136
## pdec  0.1871590345  0.094644125 -0.105030745 -0.21895144  0.170211499
##               PC11         PC12         PC13          PC14        PC15
## tjan -0.3177818979  0.084717452 -0.198073796  0.0306128664 -0.12524773
## tfeb -0.0850920746  0.207170982  0.215049963 -0.0248132032  0.07177408
## tmar  0.0837891432  0.151198192  0.338194830 -0.1213396869 -0.04343164
## tapr  0.2429592526 -0.018873516  0.244346289  0.0007484506  0.04381860
## tmay  0.0431667637 -0.232783794 -0.291244671  0.0480458427 -0.18616504
## tjun -0.0987876247 -0.033840012 -0.422444222 -0.0105642695  0.31526141
## tjul -0.0486904501  0.283065952  0.298939526 -0.0044454340  0.14450174
## taug -0.0152404625  0.136111286  0.291708371 -0.0496293283 -0.21486141
## tsep -0.0444107836 -0.120942065 -0.094460420  0.0209592856 -0.41993874
## toct  0.2093561076 -0.231921667 -0.011130377  0.0997939913  0.27607606
## tnov  0.1006998972 -0.233238733 -0.174605090 -0.0378639293  0.02149880
## tdec -0.1909224250  0.002929791 -0.196357064  0.0633928569  0.15143733
## pjan -0.0005762763  0.039714713  0.006401917 -0.3431345819  0.49814932
## pfeb -0.1595286785  0.149113176  0.045518203  0.2980140260  0.07726715
## pmar -0.0295711250  0.194223506 -0.064458463  0.5326818242 -0.13153712
## papr -0.3048488853 -0.403344025  0.133363364 -0.4467304855 -0.08102153
## pmay  0.5520813847  0.203821338 -0.246609418  0.0048849326  0.02882245
## pjun -0.4115111702 -0.123357939  0.112057802  0.1724675213  0.02767334
## pjul -0.0309151580  0.137303662 -0.039627958 -0.1174288399 -0.07339510
## paug  0.1609697226 -0.224188960  0.158706743  0.0989438683  0.06477934
## psep -0.1703085895  0.441341096 -0.234474281 -0.2164132305 -0.05426607
## poct  0.0248821147 -0.304950065  0.205141127  0.3425036906  0.16345751
## pnov  0.1821268769 -0.095799139  0.015392954 -0.1184016248 -0.41165840
## pdec  0.1898709898  0.053178843 -0.055907092 -0.2039300913 -0.10002376
##              PC16         PC17         PC18          PC19          PC20
## tjan  0.148674822 -0.107041343  0.160823567 -0.0269825468  0.4272858093
## tfeb -0.017002651  0.234367308 -0.030332072  0.0627361960  0.0203446585
## tmar -0.035352024 -0.000212998 -0.023742455 -0.0452842790 -0.2687836322
## tapr  0.022030975  0.145866305  0.006613803 -0.0184863673 -0.0467386911
## tmay  0.142255714 -0.298105316  0.126282045  0.0006562435  0.3387549738
## tjun -0.160935797  0.249990410 -0.191135211  0.0289864553 -0.2723565962
## tjul -0.238251861 -0.162051895 -0.033972474  0.1319965479  0.2737881475
## taug  0.106065552 -0.250950490  0.035001101 -0.1434759326 -0.0549829727
## tsep  0.390707549  0.327566676  0.244781447 -0.0916673160 -0.3538791803
## toct  0.018144251  0.349455508 -0.075056635  0.0788151267  0.4142142645
## tnov -0.264971834 -0.588989556 -0.143864858  0.0332551632 -0.3245451022
## tdec -0.157870134  0.092966911 -0.097722453  0.0092514596 -0.1416159968
## pjan  0.206879187 -0.141990574  0.530872235  0.0890666735 -0.0947536147
## pfeb  0.530999363 -0.151466383 -0.533289719  0.2207678709 -0.0675137256
## pmar -0.380592388  0.074655676  0.335006369 -0.1362476881 -0.0616168429
## papr -0.056901612  0.106755938 -0.084786785 -0.0375141498  0.0485745440
## pmay  0.177758906 -0.022014450  0.025024070  0.0376327473 -0.0093294644
## pjun -0.094904165  0.013377094 -0.016298342 -0.0261197497 -0.0346808089
## pjul -0.005543386 -0.049203713  0.044870954  0.0112968029  0.0096717843
## paug  0.047348123  0.015708070 -0.052098593  0.0046396787  0.0009636633
## psep -0.040657537  0.041970363 -0.011347466  0.0246969815  0.0132694536
## poct  0.027120678 -0.090538295  0.148875670 -0.1375823255 -0.0299283689
## pnov -0.283906262  0.105283956 -0.052183791  0.6219718414  0.0532889852
## pdec -0.122022282  0.048156966 -0.325075890 -0.6730608587  0.1687923951
##              PC21         PC22         PC23          PC24
## tjan  0.110569448 -0.174362955  0.466461484  0.1410538810
## tfeb  0.411083337  0.195963582 -0.553989382  0.3303973610
## tmar  0.190517645 -0.117562888  0.219088103 -0.6511559490
## tapr -0.404433770 -0.108135234  0.270516403  0.5155541679
## tmay -0.037106821  0.143632598 -0.348991274 -0.1986853412
## tjun  0.254278010  0.063546212  0.239743583  0.0692545700
## tjul -0.179763796 -0.459394939 -0.200353045 -0.0523957985
## taug  0.026308260  0.644090923  0.223105697  0.0795298706
## tsep -0.041652632 -0.338752088 -0.179241161 -0.0007117746
## toct  0.159245830  0.068434255  0.090617300 -0.2078886850
## tnov  0.183602516 -0.198760485 -0.051768256  0.1951652783
## tdec -0.671182075  0.274168418 -0.167825018 -0.2131251230
## pjan -0.025665936  0.023245016 -0.023533194 -0.0018978335
## pfeb -0.017169890 -0.043847725  0.001437087 -0.0140109546
## pmar  0.073977731  0.042827913  0.030519916 -0.0138651710
## papr -0.008348023  0.008701196 -0.001837501  0.0129567032
## pmay -0.007890496  0.009175983 -0.014398707 -0.0095682867
## pjun  0.019589810 -0.050004246 -0.001155038 -0.0001735104
## pjul -0.003853114  0.023997896 -0.014147625 -0.0044508995
## paug  0.004197034  0.012388955  0.011866533  0.0056221737
## psep -0.017989679 -0.007676584 -0.001546521 -0.0008137329
## poct  0.026887105 -0.009846198 -0.006560772  0.0004372792
## pnov -0.015092274  0.074152159  0.081791929  0.0084156928
## pdec -0.018484850 -0.087548286 -0.071983057  0.0171497426

Sort it:

sort(wnaclimtp.pca$rotation[,1])  
##       pjul       paug       pjun       psep       poct       pmay 
## 0.01369406 0.03206302 0.05730680 0.10354548 0.13939969 0.14748106 
##       pnov       pjan       pdec       papr       pfeb       pmar 
## 0.16303542 0.16803736 0.16860662 0.17074339 0.17102216 0.17796187 
##       tjun       tjul       taug       tmay       tsep       tapr 
## 0.20220435 0.20390908 0.22863878 0.23877755 0.25186014 0.26473010 
##       toct       tjan       tnov       tdec       tmar       tfeb 
## 0.26714245 0.27154635 0.27214789 0.27301687 0.27484658 0.27524689
sort(wnaclimtp.pca$rotation[,2])   
##        tjul        tjun        taug        tmay        tsep        toct 
## -0.22851811 -0.21701738 -0.20271341 -0.16889072 -0.16881584 -0.12423680 
##        tapr        tnov        tmar        tfeb        tdec        tjan 
## -0.12257641 -0.09552584 -0.09367701 -0.07830351 -0.07380880 -0.07007925 
##        pjul        paug        pjun        pmar        pmay        pjan 
##  0.10097126  0.14782502  0.23790590  0.25650454  0.25905950  0.25995212 
##        pfeb        psep        pdec        papr        pnov        poct 
##  0.26393484  0.26528778  0.26639834  0.27824680  0.27829605  0.28759576

PCA 1:
On PCA1, temperatures in July (0.20390908) & August (0.22863878) are highly associated.

PCA 2:
On PCA2, precipitation in October (0.28759576) & November (0.27829605) are highly associated.

PCA 1:Map

wnaclimtp.pca.score <- wnaclimtp.pca$x[, 1]
quilt.plot(wnaclim2$Longitude, wnaclim2$Latitude, wnaclimtp.pca.score)
world(add = TRUE)

Does this map make sense?
Yes, this map makes sense. It shows the temperature across this area of North America. The higher values represent warmer temperatures while the lower values represent lower temperature. It makes sense with what we know about this region–the more northern areas are colder than the southern areas.

PCA2 Map:

wnaclim.pca.score2 <- wnaclimtp.pca$x[, 2]
quilt.plot(wnaclim2$Longitude, wnaclim2$Latitude, wnaclim.pca.score2)
world(add = TRUE)

This map shows the amount of precipitation across this part of North America. There is more precipitation where the values are higher and less precipitation where the values are lower.