R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1418 + ,210907 + ,56 + ,396 + ,81 + ,3 + ,79 + ,869 + ,120982 + ,56 + ,297 + ,55 + ,4 + ,58 + ,1530 + ,176508 + ,54 + ,559 + ,50 + ,12 + ,60 + ,2172 + ,179321 + ,89 + ,967 + ,125 + ,2 + ,108 + ,901 + ,123185 + ,40 + ,270 + ,40 + ,1 + ,49 + ,463 + ,52746 + ,25 + ,143 + ,37 + ,3 + ,0 + ,3201 + ,385534 + ,92 + ,1562 + ,63 + ,0 + ,121 + ,371 + ,33170 + ,18 + ,109 + ,44 + ,0 + ,1 + ,1192 + ,101645 + ,63 + ,371 + ,88 + ,0 + ,20 + ,1583 + ,149061 + ,44 + ,656 + ,66 + ,5 + ,43 + ,1439 + ,165446 + ,33 + ,511 + ,57 + ,0 + ,69 + ,1764 + ,237213 + ,84 + ,655 + ,74 + ,0 + ,78 + ,1495 + ,173326 + ,88 + ,465 + ,49 + ,7 + ,86 + ,1373 + ,133131 + ,55 + ,525 + ,52 + ,7 + ,44 + ,2187 + ,258873 + ,60 + ,885 + ,88 + ,3 + ,104 + ,1491 + ,180083 + ,66 + ,497 + ,36 + ,9 + ,63 + ,4041 + ,324799 + ,154 + ,1436 + ,108 + ,0 + ,158 + ,1706 + ,230964 + ,53 + ,612 + ,43 + ,4 + ,102 + ,2152 + ,236785 + ,119 + ,865 + ,75 + ,3 + ,77 + ,1036 + ,135473 + ,41 + ,385 + ,32 + ,0 + ,82 + ,1882 + ,202925 + ,61 + ,567 + ,44 + ,7 + ,115 + ,1929 + ,215147 + ,58 + ,639 + ,85 + ,0 + ,101 + ,2242 + ,344297 + ,75 + ,963 + ,86 + ,1 + ,80 + ,1220 + ,153935 + ,33 + ,398 + ,56 + ,5 + ,50 + ,1289 + ,132943 + ,40 + ,410 + ,50 + ,7 + ,83 + ,2515 + ,174724 + ,92 + ,966 + ,135 + ,0 + ,123 + ,2147 + ,174415 + ,100 + ,801 + ,63 + ,0 + ,73 + ,2352 + ,225548 + ,112 + ,892 + ,81 + ,5 + ,81 + ,1638 + ,223632 + ,73 + ,513 + ,52 + ,0 + ,105 + ,1222 + ,124817 + ,40 + ,469 + ,44 + ,0 + ,47 + ,1812 + ,221698 + ,45 + ,683 + ,113 + ,0 + ,105 + ,1677 + ,210767 + ,60 + ,643 + ,39 + ,3 + ,94 + ,1579 + ,170266 + ,62 + ,535 + ,73 + ,4 + ,44 + ,1731 + ,260561 + ,75 + ,625 + ,48 + ,1 + ,114 + ,807 + ,84853 + ,31 + ,264 + ,33 + ,4 + ,38 + ,2452 + ,294424 + ,77 + ,992 + ,59 + ,2 + ,107 + ,829 + ,101011 + ,34 + ,238 + ,41 + ,0 + ,30 + ,1940 + ,215641 + ,46 + ,818 + ,69 + ,0 + ,71 + ,2662 + ,325107 + ,99 + ,937 + ,64 + ,0 + ,84 + ,186 + ,7176 + ,17 + ,70 + ,1 + ,0 + ,0 + ,1499 + ,167542 + ,66 + ,507 + ,59 + ,2 + ,59 + ,865 + ,106408 + ,30 + ,260 + ,32 + ,1 + ,33 + ,1793 + ,96560 + ,76 + ,503 + ,129 + ,0 + ,42 + ,2527 + ,265769 + ,146 + ,927 + ,37 + ,2 + ,96 + ,2747 + ,269651 + ,67 + ,1269 + ,31 + ,10 + ,106 + ,1324 + ,149112 + ,56 + ,537 + ,65 + ,6 + ,56 + ,2702 + ,175824 + ,107 + ,910 + ,107 + ,0 + ,57 + ,1383 + ,152871 + ,58 + ,532 + ,74 + ,5 + ,59 + ,1179 + ,111665 + ,34 + ,345 + ,54 + ,4 + ,39 + ,2099 + ,116408 + ,61 + ,918 + ,76 + ,1 + ,34 + ,4308 + ,362301 + ,119 + ,1635 + ,715 + ,2 + ,76 + ,918 + ,78800 + ,42 + ,330 + ,57 + ,2 + ,20 + ,1831 + ,183167 + ,66 + ,557 + ,66 + ,0 + ,91 + ,3373 + ,277965 + ,89 + ,1178 + ,106 + ,8 + ,115 + ,1713 + ,150629 + ,44 + ,740 + ,54 + ,3 + ,85 + ,1438 + ,168809 + ,66 + ,452 + ,32 + ,0 + ,76 + ,496 + ,24188 + ,24 + ,218 + ,20 + ,0 + ,8 + ,2253 + ,329267 + ,259 + ,764 + ,71 + ,8 + ,79 + ,744 + ,65029 + ,17 + ,255 + ,21 + ,5 + ,21 + ,1161 + ,101097 + ,64 + ,454 + ,70 + ,3 + ,30 + ,2352 + ,218946 + ,41 + ,866 + ,112 + ,1 + ,76 + ,2144 + ,244052 + ,68 + ,574 + ,66 + ,5 + ,101 + ,4691 + ,341570 + ,168 + ,1276 + ,190 + ,1 + ,94 + ,1112 + ,103597 + ,43 + ,379 + ,66 + ,1 + ,27 + ,2694 + ,233328 + ,132 + ,825 + ,165 + ,5 + ,92 + ,1973 + ,256462 + ,105 + ,798 + ,56 + ,0 + ,123 + ,1769 + ,206161 + ,71 + ,663 + ,61 + ,12 + ,75 + ,3148 + ,311473 + ,112 + ,1069 + ,53 + ,8 + ,128 + ,2474 + ,235800 + ,94 + ,921 + ,127 + ,8 + ,105 + ,2084 + ,177939 + ,82 + ,858 + ,63 + ,8 + ,55 + ,1954 + ,207176 + ,70 + ,711 + ,38 + ,8 + ,56 + ,1226 + ,196553 + ,57 + ,503 + ,50 + ,2 + ,41 + ,1389 + ,174184 + ,53 + ,382 + ,52 + ,0 + ,72 + ,1496 + ,143246 + ,103 + ,464 + ,42 + ,5 + ,67 + ,2269 + ,187559 + ,121 + ,717 + ,76 + ,8 + ,75 + ,1833 + ,187681 + ,62 + ,690 + ,67 + ,2 + ,114 + ,1268 + ,119016 + ,52 + ,462 + ,50 + ,5 + ,118 + ,1943 + ,182192 + ,52 + ,657 + ,53 + ,12 + ,77 + ,893 + ,73566 + ,32 + ,385 + ,39 + ,6 + ,22 + ,1762 + ,194979 + ,62 + ,577 + ,50 + ,7 + ,66 + ,1403 + ,167488 + ,45 + ,619 + ,77 + ,2 + ,69 + ,1425 + ,143756 + ,46 + ,479 + ,57 + ,0 + ,105 + ,1857 + ,275541 + ,63 + ,817 + ,73 + ,4 + ,116 + ,1840 + ,243199 + ,75 + ,752 + ,34 + ,3 + ,88 + ,1502 + ,182999 + ,88 + ,430 + ,39 + ,6 + ,73 + ,1441 + ,135649 + ,46 + ,451 + ,46 + ,2 + ,99 + ,1420 + ,152299 + ,53 + ,537 + ,63 + ,0 + ,62 + ,1416 + ,120221 + ,37 + ,519 + ,35 + ,1 + ,53 + ,2970 + ,346485 + ,90 + ,1000 + ,106 + ,0 + ,118 + ,1317 + ,145790 + ,63 + ,637 + ,43 + ,5 + ,30 + ,1644 + ,193339 + ,78 + ,465 + ,47 + ,2 + ,100 + ,870 + ,80953 + ,25 + ,437 + ,31 + ,0 + ,49 + ,1654 + ,122774 + ,45 + ,711 + ,162 + ,0 + ,24 + ,1054 + ,130585 + ,46 + ,299 + ,57 + ,5 + ,67 + ,937 + ,112611 + ,41 + ,248 + ,36 + ,0 + ,46 + ,3004 + ,286468 + ,144 + ,1162 + ,263 + ,1 + ,57 + ,2008 + ,241066 + ,82 + ,714 + ,78 + ,0 + ,75 + ,2547 + ,148446 + ,91 + ,905 + ,63 + ,1 + ,135 + ,1885 + ,204713 + ,71 + ,649 + ,54 + ,1 + ,68 + ,1626 + ,182079 + ,63 + ,512 + ,63 + ,2 + ,124 + ,1468 + ,140344 + ,53 + ,472 + ,77 + ,6 + ,33 + ,2445 + ,220516 + ,62 + ,905 + ,79 + ,1 + ,98 + ,1964 + ,243060 + ,63 + ,786 + ,110 + ,4 + ,58 + ,1381 + ,162765 + ,32 + ,489 + ,56 + ,2 + ,68 + ,1369 + ,182613 + ,39 + ,479 + ,56 + ,3 + ,81 + ,1659 + ,232138 + ,62 + ,617 + ,43 + ,0 + ,131 + ,2888 + ,265318 + ,117 + ,925 + ,111 + ,10 + ,110 + ,1290 + ,85574 + ,34 + ,351 + ,71 + ,0 + ,37 + ,2845 + ,310839 + ,92 + ,1144 + ,62 + ,9 + ,130 + ,1982 + ,225060 + ,93 + ,669 + ,56 + ,7 + ,93 + ,1904 + ,232317 + ,54 + ,707 + ,74 + ,0 + ,118 + ,1391 + ,144966 + ,144 + ,458 + ,60 + ,0 + ,39 + ,602 + ,43287 + ,14 + ,214 + ,43 + ,4 + ,13 + ,1743 + ,155754 + ,61 + ,599 + ,68 + ,4 + ,74 + ,1559 + ,164709 + ,109 + ,572 + ,53 + ,0 + ,81 + ,2014 + ,201940 + ,38 + ,897 + ,87 + ,0 + ,109 + ,2143 + ,235454 + ,73 + ,819 + ,46 + ,0 + ,151 + ,2146 + ,220801 + ,75 + ,720 + ,105 + ,1 + ,51 + ,874 + ,99466 + ,50 + ,273 + ,32 + ,0 + ,28 + ,1590 + ,92661 + ,61 + ,508 + ,133 + ,1 + ,40 + ,1590 + ,133328 + ,55 + ,506 + ,79 + ,0 + ,56 + ,1210 + ,61361 + ,77 + ,451 + ,51 + ,0 + ,27 + ,2072 + ,125930 + ,75 + ,699 + ,207 + ,4 + ,37 + ,1281 + ,100750 + ,72 + ,407 + ,67 + ,0 + ,83 + ,1401 + ,224549 + ,50 + ,465 + ,47 + ,4 + ,54 + ,834 + ,82316 + ,32 + ,245 + ,34 + ,4 + ,27 + ,1105 + ,102010 + ,53 + ,370 + ,66 + ,3 + ,28 + ,1272 + ,101523 + ,42 + ,316 + ,76 + ,0 + ,59 + ,1944 + ,243511 + ,71 + ,603 + ,65 + ,0 + ,133 + ,391 + ,22938 + ,10 + ,154 + ,9 + ,0 + ,12 + ,761 + ,41566 + ,35 + ,229 + ,42 + ,5 + ,0 + ,1605 + ,152474 + ,65 + ,577 + ,45 + ,0 + ,106 + ,530 + ,61857 + ,25 + ,192 + ,25 + ,4 + ,23 + ,1988 + ,99923 + ,66 + ,617 + ,115 + ,0 + ,44 + ,1386 + ,132487 + ,41 + ,411 + ,97 + ,0 + ,71 + ,2395 + ,317394 + ,86 + ,975 + ,53 + ,1 + ,116 + ,387 + ,21054 + ,16 + ,146 + ,2 + ,0 + ,4 + ,1742 + ,209641 + ,42 + ,705 + ,52 + ,5 + ,62 + ,620 + ,22648 + ,19 + ,184 + ,44 + ,0 + ,12 + ,449 + ,31414 + ,19 + ,200 + ,22 + ,0 + ,18 + ,800 + ,46698 + ,45 + ,274 + ,35 + ,0 + ,14 + ,1684 + ,131698 + ,65 + ,502 + ,74 + ,0 + ,60 + ,1050 + ,91735 + ,35 + ,382 + ,103 + ,0 + ,7 + ,2699 + ,244749 + ,95 + ,964 + ,144 + ,2 + ,98 + ,1606 + ,184510 + ,49 + ,537 + ,60 + ,7 + ,64 + ,1502 + ,79863 + ,37 + ,438 + ,134 + ,1 + ,29 + ,1204 + ,128423 + ,64 + ,369 + ,89 + ,8 + ,32 + ,1138 + ,97839 + ,38 + ,417 + ,42 + ,2 + ,25 + ,568 + ,38214 + ,34 + ,276 + ,52 + ,0 + ,16 + ,1459 + ,151101 + ,32 + ,514 + ,98 + ,2 + ,48 + ,2158 + ,272458 + ,65 + ,822 + ,99 + ,0 + ,100 + ,1111 + ,172494 + ,52 + ,389 + ,52 + ,0 + ,46 + ,1421 + ,108043 + ,62 + ,466 + ,29 + ,1 + ,45 + ,2833 + ,328107 + ,65 + ,1255 + ,125 + ,3 + ,129 + ,1955 + ,250579 + ,83 + ,694 + ,106 + ,0 + ,130 + ,2922 + ,351067 + ,95 + ,1024 + ,95 + ,3 + ,136 + ,1002 + ,158015 + ,29 + ,400 + ,40 + ,0 + ,59 + ,1060 + ,98866 + ,18 + ,397 + ,140 + ,0 + ,25 + ,956 + ,85439 + ,33 + ,350 + ,43 + ,0 + ,32 + ,2186 + ,229242 + ,247 + ,719 + ,128 + ,4 + ,63 + ,3604 + ,351619 + ,139 + ,1277 + ,142 + ,4 + ,95 + ,1035 + ,84207 + ,29 + ,356 + ,73 + ,11 + ,14 + ,1417 + ,120445 + ,118 + ,457 + ,72 + ,0 + ,36 + ,3261 + ,324598 + ,110 + ,1402 + ,128 + ,0 + ,113 + ,1587 + ,131069 + ,67 + ,600 + ,61 + ,4 + ,47 + ,1424 + ,204271 + ,42 + ,480 + ,73 + ,0 + ,92 + ,1701 + ,165543 + ,65 + ,595 + ,148 + ,1 + ,70 + ,1249 + ,141722 + ,94 + ,436 + ,64 + ,0 + ,19 + ,946 + ,116048 + ,64 + ,230 + ,45 + ,0 + ,50 + ,1926 + ,250047 + ,81 + ,651 + ,58 + ,0 + ,41 + ,3352 + ,299775 + ,95 + ,1367 + ,97 + ,9 + ,91 + ,1641 + ,195838 + ,67 + ,564 + ,50 + ,1 + ,111 + ,2035 + ,173260 + ,63 + ,716 + ,37 + ,3 + ,41 + ,2312 + ,254488 + ,83 + ,747 + ,50 + ,10 + ,120 + ,1369 + ,104389 + ,45 + ,467 + ,105 + ,5 + ,135 + ,1577 + ,136084 + ,30 + ,671 + ,69 + ,0 + ,27 + ,2201 + ,199476 + ,70 + ,861 + ,46 + ,2 + ,87 + ,961 + ,92499 + ,32 + ,319 + ,57 + ,0 + ,25 + ,1900 + ,224330 + ,83 + ,612 + ,52 + ,1 + ,131 + ,1254 + ,135781 + ,31 + ,433 + ,98 + ,2 + ,45 + ,1335 + ,74408 + ,67 + ,434 + ,61 + ,4 + ,29 + ,1597 + ,81240 + ,66 + ,503 + ,89 + ,0 + ,58 + ,207 + ,14688 + ,10 + ,85 + ,0 + ,0 + ,4 + ,1645 + ,181633 + ,70 + ,564 + ,48 + ,2 + ,47 + ,2429 + ,271856 + ,103 + ,824 + ,91 + ,1 + ,109 + ,151 + ,7199 + ,5 + ,74 + ,0 + ,0 + ,7 + ,474 + ,46660 + ,20 + ,259 + ,7 + ,0 + ,12 + ,141 + ,17547 + ,5 + ,69 + ,3 + ,0 + ,0 + ,1639 + ,133368 + ,36 + ,535 + ,54 + ,1 + ,37 + ,872 + ,95227 + ,34 + ,239 + ,70 + ,0 + ,37 + ,1318 + ,152601 + ,48 + ,438 + ,36 + ,2 + ,46 + ,1018 + ,98146 + ,40 + ,459 + ,37 + ,0 + ,15 + ,1383 + ,79619 + ,43 + ,426 + ,123 + ,3 + ,42 + ,1314 + ,59194 + ,31 + ,288 + ,247 + ,6 + ,7 + ,1335 + ,139942 + ,42 + ,498 + ,46 + ,0 + ,54 + ,1403 + ,118612 + ,46 + ,454 + ,72 + ,2 + ,54 + ,910 + ,72880 + ,33 + ,376 + ,41 + ,0 + ,14 + ,616 + ,65475 + ,18 + ,225 + ,24 + ,2 + ,16 + ,1407 + ,99643 + ,55 + ,555 + ,45 + ,1 + ,33 + ,771 + ,71965 + ,35 + ,252 + ,33 + ,1 + ,32 + ,766 + ,77272 + ,59 + ,208 + ,27 + ,2 + ,21 + ,473 + ,49289 + ,19 + ,130 + ,36 + ,1 + ,15 + ,1376 + ,135131 + ,66 + ,481 + ,87 + ,0 + ,38 + ,1232 + ,108446 + ,60 + ,389 + ,90 + ,1 + ,22 + ,1521 + ,89746 + ,36 + ,565 + ,114 + ,3 + ,28 + ,572 + ,44296 + ,25 + ,173 + ,31 + ,0 + ,10 + ,1059 + ,77648 + ,47 + ,278 + ,45 + ,0 + ,31 + ,1544 + ,181528 + ,54 + ,609 + ,69 + ,0 + ,32 + ,1230 + ,134019 + ,53 + ,422 + ,51 + ,0 + ,32 + ,1206 + ,124064 + ,40 + ,445 + ,34 + ,1 + ,43 + ,1205 + ,92630 + ,40 + ,387 + ,60 + ,4 + ,27 + ,1255 + ,121848 + ,39 + ,339 + ,45 + ,0 + ,37 + ,613 + ,52915 + ,14 + ,181 + ,54 + ,0 + ,20 + ,721 + ,81872 + ,45 + ,245 + ,25 + ,0 + ,32 + ,1109 + ,58981 + ,36 + ,384 + ,38 + ,7 + ,0 + ,740 + ,53515 + ,28 + ,212 + ,52 + ,2 + ,5 + ,1126 + ,60812 + ,44 + ,399 + ,67 + ,0 + ,26 + ,728 + ,56375 + ,30 + ,229 + ,74 + ,7 + ,10 + ,689 + ,65490 + ,22 + ,224 + ,38 + ,3 + ,27 + ,592 + ,80949 + ,17 + ,203 + ,30 + ,0 + ,11 + ,995 + ,76302 + ,31 + ,333 + ,26 + ,0 + ,29 + ,1613 + ,104011 + ,55 + ,384 + ,67 + ,6 + ,25 + ,2048 + ,98104 + ,54 + ,636 + ,132 + ,2 + ,55 + ,705 + ,67989 + ,21 + ,185 + ,42 + ,0 + ,23 + ,301 + ,30989 + ,14 + ,93 + ,35 + ,0 + ,5 + ,1803 + ,135458 + ,81 + ,581 + ,118 + ,3 + ,43 + ,799 + ,73504 + ,35 + ,248 + ,68 + ,0 + ,23 + ,861 + ,63123 + ,43 + ,304 + ,43 + ,1 + ,34 + ,1186 + ,61254 + ,46 + ,344 + ,76 + ,1 + ,36 + ,1451 + ,74914 + ,30 + ,407 + ,64 + ,0 + ,35 + ,628 + ,31774 + ,23 + ,170 + ,48 + ,1 + ,0 + ,1161 + ,81437 + ,38 + ,312 + ,64 + ,0 + ,37 + ,1463 + ,87186 + ,54 + ,507 + ,56 + ,0 + ,28 + ,742 + ,50090 + ,20 + ,224 + ,71 + ,0 + ,16 + ,979 + ,65745 + ,53 + ,340 + ,75 + ,0 + ,26 + ,675 + ,56653 + ,45 + ,168 + ,39 + ,0 + ,38 + ,1241 + ,158399 + ,39 + ,443 + ,42 + ,0 + ,23 + ,676 + ,46455 + ,20 + ,204 + ,39 + ,0 + ,22 + ,1049 + ,73624 + ,24 + ,367 + ,93 + ,0 + ,30 + ,620 + ,38395 + ,31 + ,210 + ,38 + ,0 + ,16 + ,1081 + ,91899 + ,35 + ,335 + ,60 + ,0 + ,18 + ,1688 + ,139526 + ,151 + ,364 + ,71 + ,0 + ,28 + ,736 + ,52164 + ,52 + ,178 + ,52 + ,0 + ,32 + ,617 + ,51567 + ,30 + ,206 + ,27 + ,2 + ,21 + ,812 + ,70551 + ,31 + ,279 + ,59 + ,0 + ,23 + ,1051 + ,84856 + ,29 + ,387 + ,40 + ,1 + ,29 + ,1656 + ,102538 + ,57 + ,490 + ,79 + ,1 + ,50 + ,705 + ,86678 + ,40 + ,238 + ,44 + ,0 + ,12 + ,945 + ,85709 + ,44 + ,343 + ,65 + ,0 + ,21 + ,554 + ,34662 + ,25 + ,232 + ,10 + ,0 + ,18 + ,1597 + ,150580 + ,77 + ,530 + ,124 + ,0 + ,27 + ,982 + ,99611 + ,35 + ,291 + ,81 + ,0 + ,41 + ,222 + ,19349 + ,11 + ,67 + ,15 + ,0 + ,13 + ,1212 + ,99373 + ,63 + ,397 + ,92 + ,1 + ,12 + ,1143 + ,86230 + ,44 + ,467 + ,42 + ,0 + ,21 + ,435 + ,30837 + ,19 + ,178 + ,10 + ,0 + ,8 + ,532 + ,31706 + ,13 + ,175 + ,24 + ,0 + ,26 + ,882 + ,89806 + ,42 + ,299 + ,64 + ,0 + ,27 + ,608 + ,62088 + ,38 + ,154 + ,45 + ,1 + ,13 + ,459 + ,40151 + ,29 + ,106 + ,22 + ,0 + ,16 + ,578 + ,27634 + ,20 + ,189 + ,56 + ,0 + ,2 + ,826 + ,76990 + ,27 + ,194 + ,94 + ,0 + ,42 + ,509 + ,37460 + ,20 + ,135 + ,19 + ,0 + ,5 + ,717 + ,54157 + ,19 + ,201 + ,35 + ,0 + ,37 + ,637 + ,49862 + ,37 + ,207 + ,32 + ,0 + ,17 + ,857 + ,84337 + ,26 + ,280 + ,35 + ,0 + ,38 + ,830 + ,64175 + ,42 + ,260 + ,48 + ,0 + ,37 + ,652 + ,59382 + ,49 + ,227 + ,49 + ,0 + ,29 + ,707 + ,119308 + ,30 + ,239 + ,48 + ,0 + ,32 + ,954 + ,76702 + ,49 + ,333 + ,62 + ,0 + ,35 + ,1461 + ,103425 + ,67 + ,428 + ,96 + ,1 + ,17 + ,672 + ,70344 + ,28 + ,230 + ,45 + ,0 + ,20 + ,778 + ,43410 + ,19 + ,292 + ,63 + ,0 + ,7 + ,1141 + ,104838 + ,49 + ,350 + ,71 + ,1 + ,46 + ,680 + ,62215 + ,27 + ,186 + ,26 + ,0 + ,24 + ,1090 + ,69304 + ,30 + ,326 + ,48 + ,6 + ,40 + ,616 + ,53117 + ,22 + ,155 + ,29 + ,3 + ,3 + ,285 + ,19764 + ,12 + ,75 + ,19 + ,1 + ,10 + ,1145 + ,86680 + ,31 + ,361 + ,45 + ,2 + ,37 + ,733 + ,84105 + ,20 + ,261 + ,45 + ,0 + ,17 + ,888 + ,77945 + ,20 + ,299 + ,67 + ,0 + ,28 + ,849 + ,89113 + ,39 + ,300 + ,30 + ,0 + ,19 + ,1182 + ,91005 + ,29 + ,450 + ,36 + ,3 + ,29 + ,528 + ,40248 + ,16 + ,183 + ,34 + ,1 + ,8 + ,642 + ,64187 + ,27 + ,238 + ,36 + ,0 + ,10 + ,947 + ,50857 + ,21 + ,165 + ,34 + ,0 + ,15 + ,819 + ,56613 + ,19 + ,234 + ,37 + ,1 + ,15 + ,757 + ,62792 + ,35 + ,176 + ,46 + ,0 + ,28 + ,894 + ,72535 + ,14 + ,329 + ,44 + ,0 + ,17) + ,dim=c(7 + ,289) + ,dimnames=list(c('pageviews' + ,'time_in_rfc' + ,'logins' + ,'compendium_views_info' + ,'compendium_views_pr' + ,'shared_compendiums' + ,'blogged_computations') + ,1:289)) > y <- array(NA,dim=c(7,289),dimnames=list(c('pageviews','time_in_rfc','logins','compendium_views_info','compendium_views_pr','shared_compendiums','blogged_computations'),1:289)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '2' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '2' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x time_in_rfc pageviews logins compendium_views_info compendium_views_pr 1 210907 1418 56 396 81 2 120982 869 56 297 55 3 176508 1530 54 559 50 4 179321 2172 89 967 125 5 123185 901 40 270 40 6 52746 463 25 143 37 7 385534 3201 92 1562 63 8 33170 371 18 109 44 9 101645 1192 63 371 88 10 149061 1583 44 656 66 11 165446 1439 33 511 57 12 237213 1764 84 655 74 13 173326 1495 88 465 49 14 133131 1373 55 525 52 15 258873 2187 60 885 88 16 180083 1491 66 497 36 17 324799 4041 154 1436 108 18 230964 1706 53 612 43 19 236785 2152 119 865 75 20 135473 1036 41 385 32 21 202925 1882 61 567 44 22 215147 1929 58 639 85 23 344297 2242 75 963 86 24 153935 1220 33 398 56 25 132943 1289 40 410 50 26 174724 2515 92 966 135 27 174415 2147 100 801 63 28 225548 2352 112 892 81 29 223632 1638 73 513 52 30 124817 1222 40 469 44 31 221698 1812 45 683 113 32 210767 1677 60 643 39 33 170266 1579 62 535 73 34 260561 1731 75 625 48 35 84853 807 31 264 33 36 294424 2452 77 992 59 37 101011 829 34 238 41 38 215641 1940 46 818 69 39 325107 2662 99 937 64 40 7176 186 17 70 1 41 167542 1499 66 507 59 42 106408 865 30 260 32 43 96560 1793 76 503 129 44 265769 2527 146 927 37 45 269651 2747 67 1269 31 46 149112 1324 56 537 65 47 175824 2702 107 910 107 48 152871 1383 58 532 74 49 111665 1179 34 345 54 50 116408 2099 61 918 76 51 362301 4308 119 1635 715 52 78800 918 42 330 57 53 183167 1831 66 557 66 54 277965 3373 89 1178 106 55 150629 1713 44 740 54 56 168809 1438 66 452 32 57 24188 496 24 218 20 58 329267 2253 259 764 71 59 65029 744 17 255 21 60 101097 1161 64 454 70 61 218946 2352 41 866 112 62 244052 2144 68 574 66 63 341570 4691 168 1276 190 64 103597 1112 43 379 66 65 233328 2694 132 825 165 66 256462 1973 105 798 56 67 206161 1769 71 663 61 68 311473 3148 112 1069 53 69 235800 2474 94 921 127 70 177939 2084 82 858 63 71 207176 1954 70 711 38 72 196553 1226 57 503 50 73 174184 1389 53 382 52 74 143246 1496 103 464 42 75 187559 2269 121 717 76 76 187681 1833 62 690 67 77 119016 1268 52 462 50 78 182192 1943 52 657 53 79 73566 893 32 385 39 80 194979 1762 62 577 50 81 167488 1403 45 619 77 82 143756 1425 46 479 57 83 275541 1857 63 817 73 84 243199 1840 75 752 34 85 182999 1502 88 430 39 86 135649 1441 46 451 46 87 152299 1420 53 537 63 88 120221 1416 37 519 35 89 346485 2970 90 1000 106 90 145790 1317 63 637 43 91 193339 1644 78 465 47 92 80953 870 25 437 31 93 122774 1654 45 711 162 94 130585 1054 46 299 57 95 112611 937 41 248 36 96 286468 3004 144 1162 263 97 241066 2008 82 714 78 98 148446 2547 91 905 63 99 204713 1885 71 649 54 100 182079 1626 63 512 63 101 140344 1468 53 472 77 102 220516 2445 62 905 79 103 243060 1964 63 786 110 104 162765 1381 32 489 56 105 182613 1369 39 479 56 106 232138 1659 62 617 43 107 265318 2888 117 925 111 108 85574 1290 34 351 71 109 310839 2845 92 1144 62 110 225060 1982 93 669 56 111 232317 1904 54 707 74 112 144966 1391 144 458 60 113 43287 602 14 214 43 114 155754 1743 61 599 68 115 164709 1559 109 572 53 116 201940 2014 38 897 87 117 235454 2143 73 819 46 118 220801 2146 75 720 105 119 99466 874 50 273 32 120 92661 1590 61 508 133 121 133328 1590 55 506 79 122 61361 1210 77 451 51 123 125930 2072 75 699 207 124 100750 1281 72 407 67 125 224549 1401 50 465 47 126 82316 834 32 245 34 127 102010 1105 53 370 66 128 101523 1272 42 316 76 129 243511 1944 71 603 65 130 22938 391 10 154 9 131 41566 761 35 229 42 132 152474 1605 65 577 45 133 61857 530 25 192 25 134 99923 1988 66 617 115 135 132487 1386 41 411 97 136 317394 2395 86 975 53 137 21054 387 16 146 2 138 209641 1742 42 705 52 139 22648 620 19 184 44 140 31414 449 19 200 22 141 46698 800 45 274 35 142 131698 1684 65 502 74 143 91735 1050 35 382 103 144 244749 2699 95 964 144 145 184510 1606 49 537 60 146 79863 1502 37 438 134 147 128423 1204 64 369 89 148 97839 1138 38 417 42 149 38214 568 34 276 52 150 151101 1459 32 514 98 151 272458 2158 65 822 99 152 172494 1111 52 389 52 153 108043 1421 62 466 29 154 328107 2833 65 1255 125 155 250579 1955 83 694 106 156 351067 2922 95 1024 95 157 158015 1002 29 400 40 158 98866 1060 18 397 140 159 85439 956 33 350 43 160 229242 2186 247 719 128 161 351619 3604 139 1277 142 162 84207 1035 29 356 73 163 120445 1417 118 457 72 164 324598 3261 110 1402 128 165 131069 1587 67 600 61 166 204271 1424 42 480 73 167 165543 1701 65 595 148 168 141722 1249 94 436 64 169 116048 946 64 230 45 170 250047 1926 81 651 58 171 299775 3352 95 1367 97 172 195838 1641 67 564 50 173 173260 2035 63 716 37 174 254488 2312 83 747 50 175 104389 1369 45 467 105 176 136084 1577 30 671 69 177 199476 2201 70 861 46 178 92499 961 32 319 57 179 224330 1900 83 612 52 180 135781 1254 31 433 98 181 74408 1335 67 434 61 182 81240 1597 66 503 89 183 14688 207 10 85 0 184 181633 1645 70 564 48 185 271856 2429 103 824 91 186 7199 151 5 74 0 187 46660 474 20 259 7 188 17547 141 5 69 3 189 133368 1639 36 535 54 190 95227 872 34 239 70 191 152601 1318 48 438 36 192 98146 1018 40 459 37 193 79619 1383 43 426 123 194 59194 1314 31 288 247 195 139942 1335 42 498 46 196 118612 1403 46 454 72 197 72880 910 33 376 41 198 65475 616 18 225 24 199 99643 1407 55 555 45 200 71965 771 35 252 33 201 77272 766 59 208 27 202 49289 473 19 130 36 203 135131 1376 66 481 87 204 108446 1232 60 389 90 205 89746 1521 36 565 114 206 44296 572 25 173 31 207 77648 1059 47 278 45 208 181528 1544 54 609 69 209 134019 1230 53 422 51 210 124064 1206 40 445 34 211 92630 1205 40 387 60 212 121848 1255 39 339 45 213 52915 613 14 181 54 214 81872 721 45 245 25 215 58981 1109 36 384 38 216 53515 740 28 212 52 217 60812 1126 44 399 67 218 56375 728 30 229 74 219 65490 689 22 224 38 220 80949 592 17 203 30 221 76302 995 31 333 26 222 104011 1613 55 384 67 223 98104 2048 54 636 132 224 67989 705 21 185 42 225 30989 301 14 93 35 226 135458 1803 81 581 118 227 73504 799 35 248 68 228 63123 861 43 304 43 229 61254 1186 46 344 76 230 74914 1451 30 407 64 231 31774 628 23 170 48 232 81437 1161 38 312 64 233 87186 1463 54 507 56 234 50090 742 20 224 71 235 65745 979 53 340 75 236 56653 675 45 168 39 237 158399 1241 39 443 42 238 46455 676 20 204 39 239 73624 1049 24 367 93 240 38395 620 31 210 38 241 91899 1081 35 335 60 242 139526 1688 151 364 71 243 52164 736 52 178 52 244 51567 617 30 206 27 245 70551 812 31 279 59 246 84856 1051 29 387 40 247 102538 1656 57 490 79 248 86678 705 40 238 44 249 85709 945 44 343 65 250 34662 554 25 232 10 251 150580 1597 77 530 124 252 99611 982 35 291 81 253 19349 222 11 67 15 254 99373 1212 63 397 92 255 86230 1143 44 467 42 256 30837 435 19 178 10 257 31706 532 13 175 24 258 89806 882 42 299 64 259 62088 608 38 154 45 260 40151 459 29 106 22 261 27634 578 20 189 56 262 76990 826 27 194 94 263 37460 509 20 135 19 264 54157 717 19 201 35 265 49862 637 37 207 32 266 84337 857 26 280 35 267 64175 830 42 260 48 268 59382 652 49 227 49 269 119308 707 30 239 48 270 76702 954 49 333 62 271 103425 1461 67 428 96 272 70344 672 28 230 45 273 43410 778 19 292 63 274 104838 1141 49 350 71 275 62215 680 27 186 26 276 69304 1090 30 326 48 277 53117 616 22 155 29 278 19764 285 12 75 19 279 86680 1145 31 361 45 280 84105 733 20 261 45 281 77945 888 20 299 67 282 89113 849 39 300 30 283 91005 1182 29 450 36 284 40248 528 16 183 34 285 64187 642 27 238 36 286 50857 947 21 165 34 287 56613 819 19 234 37 288 62792 757 35 176 46 289 72535 894 14 329 44 shared_compendiums blogged_computations 1 3 79 2 4 58 3 12 60 4 2 108 5 1 49 6 3 0 7 0 121 8 0 1 9 0 20 10 5 43 11 0 69 12 0 78 13 7 86 14 7 44 15 3 104 16 9 63 17 0 158 18 4 102 19 3 77 20 0 82 21 7 115 22 0 101 23 1 80 24 5 50 25 7 83 26 0 123 27 0 73 28 5 81 29 0 105 30 0 47 31 0 105 32 3 94 33 4 44 34 1 114 35 4 38 36 2 107 37 0 30 38 0 71 39 0 84 40 0 0 41 2 59 42 1 33 43 0 42 44 2 96 45 10 106 46 6 56 47 0 57 48 5 59 49 4 39 50 1 34 51 2 76 52 2 20 53 0 91 54 8 115 55 3 85 56 0 76 57 0 8 58 8 79 59 5 21 60 3 30 61 1 76 62 5 101 63 1 94 64 1 27 65 5 92 66 0 123 67 12 75 68 8 128 69 8 105 70 8 55 71 8 56 72 2 41 73 0 72 74 5 67 75 8 75 76 2 114 77 5 118 78 12 77 79 6 22 80 7 66 81 2 69 82 0 105 83 4 116 84 3 88 85 6 73 86 2 99 87 0 62 88 1 53 89 0 118 90 5 30 91 2 100 92 0 49 93 0 24 94 5 67 95 0 46 96 1 57 97 0 75 98 1 135 99 1 68 100 2 124 101 6 33 102 1 98 103 4 58 104 2 68 105 3 81 106 0 131 107 10 110 108 0 37 109 9 130 110 7 93 111 0 118 112 0 39 113 4 13 114 4 74 115 0 81 116 0 109 117 0 151 118 1 51 119 0 28 120 1 40 121 0 56 122 0 27 123 4 37 124 0 83 125 4 54 126 4 27 127 3 28 128 0 59 129 0 133 130 0 12 131 5 0 132 0 106 133 4 23 134 0 44 135 0 71 136 1 116 137 0 4 138 5 62 139 0 12 140 0 18 141 0 14 142 0 60 143 0 7 144 2 98 145 7 64 146 1 29 147 8 32 148 2 25 149 0 16 150 2 48 151 0 100 152 0 46 153 1 45 154 3 129 155 0 130 156 3 136 157 0 59 158 0 25 159 0 32 160 4 63 161 4 95 162 11 14 163 0 36 164 0 113 165 4 47 166 0 92 167 1 70 168 0 19 169 0 50 170 0 41 171 9 91 172 1 111 173 3 41 174 10 120 175 5 135 176 0 27 177 2 87 178 0 25 179 1 131 180 2 45 181 4 29 182 0 58 183 0 4 184 2 47 185 1 109 186 0 7 187 0 12 188 0 0 189 1 37 190 0 37 191 2 46 192 0 15 193 3 42 194 6 7 195 0 54 196 2 54 197 0 14 198 2 16 199 1 33 200 1 32 201 2 21 202 1 15 203 0 38 204 1 22 205 3 28 206 0 10 207 0 31 208 0 32 209 0 32 210 1 43 211 4 27 212 0 37 213 0 20 214 0 32 215 7 0 216 2 5 217 0 26 218 7 10 219 3 27 220 0 11 221 0 29 222 6 25 223 2 55 224 0 23 225 0 5 226 3 43 227 0 23 228 1 34 229 1 36 230 0 35 231 1 0 232 0 37 233 0 28 234 0 16 235 0 26 236 0 38 237 0 23 238 0 22 239 0 30 240 0 16 241 0 18 242 0 28 243 0 32 244 2 21 245 0 23 246 1 29 247 1 50 248 0 12 249 0 21 250 0 18 251 0 27 252 0 41 253 0 13 254 1 12 255 0 21 256 0 8 257 0 26 258 0 27 259 1 13 260 0 16 261 0 2 262 0 42 263 0 5 264 0 37 265 0 17 266 0 38 267 0 37 268 0 29 269 0 32 270 0 35 271 1 17 272 0 20 273 0 7 274 1 46 275 0 24 276 6 40 277 3 3 278 1 10 279 2 37 280 0 17 281 0 28 282 0 19 283 3 29 284 1 8 285 0 10 286 0 15 287 1 15 288 0 28 289 0 17 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) pageviews logins 968.34 16.38 323.80 compendium_views_info compendium_views_pr shared_compendiums 124.35 -69.13 617.64 blogged_computations 724.81 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -130357 -15680 -324 17011 109913 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 968.34 3928.05 0.247 0.805460 pageviews 16.38 11.03 1.485 0.138765 logins 323.80 82.13 3.943 0.000102 *** compendium_views_info 124.35 23.35 5.326 2.06e-07 *** compendium_views_pr -69.13 44.31 -1.560 0.119875 shared_compendiums 617.64 680.54 0.908 0.364875 blogged_computations 724.81 79.32 9.138 < 2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 29830 on 282 degrees of freedom Multiple R-squared: 0.8715, Adjusted R-squared: 0.8688 F-statistic: 318.7 on 6 and 282 DF, p-value: < 2.2e-16 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 0.3280636 6.561271e-01 6.719364e-01 [2,] 0.3125026 6.250052e-01 6.874974e-01 [3,] 0.1910934 3.821868e-01 8.089066e-01 [4,] 0.4752397 9.504794e-01 5.247603e-01 [5,] 0.3840275 7.680550e-01 6.159725e-01 [6,] 0.2922184 5.844367e-01 7.077816e-01 [7,] 0.2190427 4.380854e-01 7.809573e-01 [8,] 0.7753967 4.492067e-01 2.246033e-01 [9,] 0.7162839 5.674321e-01 2.837161e-01 [10,] 0.7049702 5.900597e-01 2.950298e-01 [11,] 0.7732805 4.534391e-01 2.267195e-01 [12,] 0.7443512 5.112975e-01 2.556488e-01 [13,] 0.6931641 6.136718e-01 3.068359e-01 [14,] 0.9862901 2.741974e-02 1.370987e-02 [15,] 0.9812870 3.742603e-02 1.871301e-02 [16,] 0.9792376 4.152487e-02 2.076244e-02 [17,] 0.9943663 1.126736e-02 5.633682e-03 [18,] 0.9963063 7.387429e-03 3.693715e-03 [19,] 0.9944230 1.115405e-02 5.577027e-03 [20,] 0.9941424 1.171520e-02 5.857600e-03 [21,] 0.9937516 1.249684e-02 6.248419e-03 [22,] 0.9931602 1.367951e-02 6.839754e-03 [23,] 0.9902724 1.945527e-02 9.727636e-03 [24,] 0.9882230 2.355401e-02 1.177701e-02 [25,] 0.9904092 1.918164e-02 9.590820e-03 [26,] 0.9900395 1.992104e-02 9.960518e-03 [27,] 0.9874694 2.506118e-02 1.253059e-02 [28,] 0.9834391 3.312185e-02 1.656092e-02 [29,] 0.9779778 4.404439e-02 2.202219e-02 [30,] 0.9918123 1.637534e-02 8.187669e-03 [31,] 0.9955319 8.936117e-03 4.468058e-03 [32,] 0.9938887 1.222260e-02 6.111302e-03 [33,] 0.9920157 1.596859e-02 7.984293e-03 [34,] 0.9916199 1.676015e-02 8.380076e-03 [35,] 0.9885846 2.283070e-02 1.141535e-02 [36,] 0.9941176 1.176471e-02 5.882353e-03 [37,] 0.9919226 1.615478e-02 8.077391e-03 [38,] 0.9938049 1.239020e-02 6.195099e-03 [39,] 0.9916154 1.676921e-02 8.384604e-03 [40,] 0.9889349 2.213021e-02 1.106510e-02 [41,] 0.9968398 6.320331e-03 3.160166e-03 [42,] 0.9995519 8.961996e-04 4.480998e-04 [43,] 0.9993747 1.250600e-03 6.252999e-04 [44,] 0.9991270 1.746020e-03 8.730100e-04 [45,] 0.9990537 1.892659e-03 9.463296e-04 [46,] 0.9994992 1.001509e-03 5.007547e-04 [47,] 0.9992940 1.411910e-03 7.059548e-04 [48,] 0.9993280 1.344000e-03 6.719998e-04 [49,] 0.9996977 6.045462e-04 3.022731e-04 [50,] 0.9995681 8.637764e-04 4.318882e-04 [51,] 0.9994678 1.064304e-03 5.321518e-04 [52,] 0.9993136 1.372719e-03 6.863595e-04 [53,] 0.9994320 1.135975e-03 5.679875e-04 [54,] 0.9992423 1.515468e-03 7.577342e-04 [55,] 0.9989439 2.112152e-03 1.056076e-03 [56,] 0.9987627 2.474525e-03 1.237262e-03 [57,] 0.9983138 3.372468e-03 1.686234e-03 [58,] 0.9978153 4.369459e-03 2.184729e-03 [59,] 0.9970598 5.880412e-03 2.940206e-03 [60,] 0.9967163 6.567389e-03 3.283695e-03 [61,] 0.9964367 7.126630e-03 3.563315e-03 [62,] 0.9959507 8.098645e-03 4.049322e-03 [63,] 0.9984630 3.074002e-03 1.537001e-03 [64,] 0.9984209 3.158257e-03 1.579129e-03 [65,] 0.9983672 3.265520e-03 1.632760e-03 [66,] 0.9984452 3.109567e-03 1.554783e-03 [67,] 0.9985450 2.909932e-03 1.454966e-03 [68,] 0.9995623 8.753293e-04 4.376647e-04 [69,] 0.9994011 1.197809e-03 5.989044e-04 [70,] 0.9992784 1.443186e-03 7.215932e-04 [71,] 0.9991704 1.659269e-03 8.296345e-04 [72,] 0.9988731 2.253879e-03 1.126940e-03 [73,] 0.9988905 2.218932e-03 1.109466e-03 [74,] 0.9991465 1.706915e-03 8.534576e-04 [75,] 0.9991395 1.721087e-03 8.605434e-04 [76,] 0.9989619 2.076159e-03 1.038079e-03 [77,] 0.9990101 1.979890e-03 9.899448e-04 [78,] 0.9986650 2.669961e-03 1.334980e-03 [79,] 0.9984169 3.166142e-03 1.583071e-03 [80,] 0.9994421 1.115881e-03 5.579405e-04 [81,] 0.9992361 1.527750e-03 7.638750e-04 [82,] 0.9990038 1.992331e-03 9.961656e-04 [83,] 0.9990554 1.889154e-03 9.445772e-04 [84,] 0.9988319 2.336291e-03 1.168146e-03 [85,] 0.9985185 2.963052e-03 1.481526e-03 [86,] 0.9982179 3.564185e-03 1.782092e-03 [87,] 0.9979505 4.099082e-03 2.049541e-03 [88,] 0.9983609 3.278174e-03 1.639087e-03 [89,] 0.9999962 7.640950e-06 3.820475e-06 [90,] 0.9999952 9.633484e-06 4.816742e-06 [91,] 0.9999936 1.282261e-05 6.411304e-06 [92,] 0.9999914 1.712250e-05 8.561250e-06 [93,] 0.9999896 2.085072e-05 1.042536e-05 [94,] 0.9999960 8.050555e-06 4.025277e-06 [95,] 0.9999949 1.018252e-05 5.091262e-06 [96,] 0.9999949 1.019958e-05 5.099792e-06 [97,] 0.9999932 1.358837e-05 6.794185e-06 [98,] 0.9999905 1.903699e-05 9.518495e-06 [99,] 0.9999880 2.393294e-05 1.196647e-05 [100,] 0.9999830 3.404884e-05 1.702442e-05 [101,] 0.9999765 4.706989e-05 2.353495e-05 [102,] 0.9999689 6.216761e-05 3.108380e-05 [103,] 0.9999585 8.307222e-05 4.153611e-05 [104,] 0.9999446 1.107517e-04 5.537585e-05 [105,] 0.9999332 1.335804e-04 6.679018e-05 [106,] 0.9999250 1.500880e-04 7.504398e-05 [107,] 0.9999226 1.548923e-04 7.744617e-05 [108,] 0.9999305 1.389479e-04 6.947394e-05 [109,] 0.9999448 1.104360e-04 5.521801e-05 [110,] 0.9999269 1.462327e-04 7.311635e-05 [111,] 0.9999440 1.119987e-04 5.599934e-05 [112,] 0.9999255 1.490362e-04 7.451812e-05 [113,] 0.9999748 5.031599e-05 2.515800e-05 [114,] 0.9999773 4.533630e-05 2.266815e-05 [115,] 0.9999896 2.085922e-05 1.042961e-05 [116,] 0.9999996 7.960724e-07 3.980362e-07 [117,] 0.9999994 1.168166e-06 5.840832e-07 [118,] 0.9999991 1.756829e-06 8.784143e-07 [119,] 0.9999988 2.478166e-06 1.239083e-06 [120,] 0.9999985 3.099516e-06 1.549758e-06 [121,] 0.9999980 4.001488e-06 2.000744e-06 [122,] 0.9999972 5.516808e-06 2.758404e-06 [123,] 0.9999984 3.208537e-06 1.604268e-06 [124,] 0.9999976 4.731469e-06 2.365734e-06 [125,] 0.9999993 1.338235e-06 6.691174e-07 [126,] 0.9999990 2.048889e-06 1.024445e-06 [127,] 0.9999994 1.186449e-06 5.932245e-07 [128,] 0.9999992 1.650309e-06 8.251547e-07 [129,] 0.9999993 1.324680e-06 6.623399e-07 [130,] 0.9999992 1.505131e-06 7.525655e-07 [131,] 0.9999991 1.881433e-06 9.407166e-07 [132,] 0.9999990 2.094184e-06 1.047092e-06 [133,] 0.9999987 2.539029e-06 1.269514e-06 [134,] 0.9999983 3.314334e-06 1.657167e-06 [135,] 0.9999977 4.505758e-06 2.252879e-06 [136,] 0.9999981 3.826793e-06 1.913397e-06 [137,] 0.9999979 4.217654e-06 2.108827e-06 [138,] 0.9999982 3.599471e-06 1.799736e-06 [139,] 0.9999973 5.444652e-06 2.722326e-06 [140,] 0.9999970 6.072483e-06 3.036242e-06 [141,] 0.9999966 6.817405e-06 3.408702e-06 [142,] 0.9999981 3.708257e-06 1.854129e-06 [143,] 0.9999995 9.012312e-07 4.506156e-07 [144,] 0.9999995 9.072880e-07 4.536440e-07 [145,] 0.9999994 1.107748e-06 5.538739e-07 [146,] 0.9999993 1.322203e-06 6.611016e-07 [147,] 0.9999998 3.554801e-07 1.777401e-07 [148,] 0.9999999 1.563845e-07 7.819224e-08 [149,] 0.9999999 1.784700e-07 8.923502e-08 [150,] 0.9999999 2.820429e-07 1.410214e-07 [151,] 0.9999998 4.152847e-07 2.076423e-07 [152,] 0.9999998 3.883814e-07 1.941907e-07 [153,] 0.9999998 4.279740e-07 2.139870e-07 [154,] 0.9999998 4.718533e-07 2.359267e-07 [155,] 0.9999996 7.160204e-07 3.580102e-07 [156,] 0.9999995 9.045853e-07 4.522926e-07 [157,] 0.9999999 2.083962e-07 1.041981e-07 [158,] 0.9999999 2.879647e-07 1.439824e-07 [159,] 0.9999998 3.558500e-07 1.779250e-07 [160,] 0.9999998 4.578898e-07 2.289449e-07 [161,] 1.0000000 6.747581e-09 3.373790e-09 [162,] 1.0000000 1.089687e-08 5.448435e-09 [163,] 1.0000000 1.556172e-08 7.780862e-09 [164,] 1.0000000 2.646008e-08 1.323004e-08 [165,] 1.0000000 1.151702e-08 5.758509e-09 [166,] 1.0000000 1.458089e-09 7.290444e-10 [167,] 1.0000000 2.538678e-09 1.269339e-09 [168,] 1.0000000 3.306070e-09 1.653035e-09 [169,] 1.0000000 5.087445e-09 2.543722e-09 [170,] 1.0000000 8.011121e-09 4.005560e-09 [171,] 1.0000000 5.612625e-09 2.806312e-09 [172,] 1.0000000 2.841365e-09 1.420683e-09 [173,] 1.0000000 1.444250e-10 7.221252e-11 [174,] 1.0000000 2.506972e-10 1.253486e-10 [175,] 1.0000000 1.488340e-10 7.441702e-11 [176,] 1.0000000 4.853562e-11 2.426781e-11 [177,] 1.0000000 6.853499e-11 3.426750e-11 [178,] 1.0000000 1.112527e-10 5.562636e-11 [179,] 1.0000000 2.087015e-10 1.043508e-10 [180,] 1.0000000 3.302805e-10 1.651402e-10 [181,] 1.0000000 3.685676e-10 1.842838e-10 [182,] 1.0000000 1.088319e-10 5.441593e-11 [183,] 1.0000000 2.096091e-10 1.048046e-10 [184,] 1.0000000 2.409184e-10 1.204592e-10 [185,] 1.0000000 3.863053e-10 1.931527e-10 [186,] 1.0000000 5.049987e-10 2.524994e-10 [187,] 1.0000000 8.612887e-10 4.306444e-10 [188,] 1.0000000 1.427947e-09 7.139737e-10 [189,] 1.0000000 2.290374e-09 1.145187e-09 [190,] 1.0000000 1.859486e-09 9.297430e-10 [191,] 1.0000000 3.466852e-09 1.733426e-09 [192,] 1.0000000 6.258166e-09 3.129083e-09 [193,] 1.0000000 1.045328e-08 5.226638e-09 [194,] 1.0000000 1.559262e-08 7.796308e-09 [195,] 1.0000000 2.451598e-08 1.225799e-08 [196,] 1.0000000 2.804519e-08 1.402259e-08 [197,] 1.0000000 4.953975e-08 2.476988e-08 [198,] 1.0000000 8.590001e-08 4.295000e-08 [199,] 1.0000000 1.290499e-08 6.452493e-09 [200,] 1.0000000 8.534303e-09 4.267152e-09 [201,] 1.0000000 8.860303e-09 4.430152e-09 [202,] 1.0000000 1.533961e-08 7.669806e-09 [203,] 1.0000000 8.232765e-09 4.116382e-09 [204,] 1.0000000 1.556629e-08 7.783146e-09 [205,] 1.0000000 2.651439e-08 1.325719e-08 [206,] 1.0000000 3.886097e-08 1.943049e-08 [207,] 1.0000000 7.288143e-08 3.644072e-08 [208,] 1.0000000 4.345426e-08 2.172713e-08 [209,] 1.0000000 8.074852e-08 4.037426e-08 [210,] 0.9999999 1.327245e-07 6.636224e-08 [211,] 1.0000000 8.342531e-08 4.171265e-08 [212,] 0.9999999 1.543312e-07 7.716562e-08 [213,] 0.9999999 2.123976e-07 1.061988e-07 [214,] 1.0000000 4.037226e-08 2.018613e-08 [215,] 1.0000000 5.959681e-08 2.979841e-08 [216,] 0.9999999 1.154415e-07 5.772076e-08 [217,] 0.9999999 2.116808e-07 1.058404e-07 [218,] 0.9999998 3.902749e-07 1.951375e-07 [219,] 0.9999997 5.370537e-07 2.685269e-07 [220,] 0.9999998 3.223110e-07 1.611555e-07 [221,] 0.9999999 2.712046e-07 1.356023e-07 [222,] 0.9999998 4.475582e-07 2.237791e-07 [223,] 0.9999996 7.931759e-07 3.965879e-07 [224,] 0.9999998 3.338311e-07 1.669155e-07 [225,] 0.9999997 5.975045e-07 2.987523e-07 [226,] 0.9999997 5.163375e-07 2.581688e-07 [227,] 0.9999995 9.609462e-07 4.804731e-07 [228,] 1.0000000 7.357047e-09 3.678524e-09 [229,] 1.0000000 1.441888e-08 7.209440e-09 [230,] 1.0000000 1.739450e-08 8.697250e-09 [231,] 1.0000000 2.013010e-08 1.006505e-08 [232,] 1.0000000 3.825767e-08 1.912884e-08 [233,] 1.0000000 7.861311e-08 3.930655e-08 [234,] 1.0000000 8.996250e-08 4.498125e-08 [235,] 0.9999999 2.003010e-07 1.001505e-07 [236,] 0.9999998 4.355191e-07 2.177596e-07 [237,] 0.9999995 9.360112e-07 4.680056e-07 [238,] 0.9999997 5.747241e-07 2.873621e-07 [239,] 0.9999998 4.125563e-07 2.062782e-07 [240,] 0.9999995 9.431361e-07 4.715680e-07 [241,] 0.9999994 1.260020e-06 6.300102e-07 [242,] 0.9999990 1.967884e-06 9.839418e-07 [243,] 0.9999981 3.726807e-06 1.863404e-06 [244,] 0.9999962 7.599040e-06 3.799520e-06 [245,] 0.9999920 1.609088e-05 8.045441e-06 [246,] 0.9999865 2.693866e-05 1.346933e-05 [247,] 0.9999771 4.578342e-05 2.289171e-05 [248,] 0.9999789 4.228474e-05 2.114237e-05 [249,] 0.9999599 8.026739e-05 4.013370e-05 [250,] 0.9999393 1.214263e-04 6.071316e-05 [251,] 0.9998718 2.563857e-04 1.281929e-04 [252,] 0.9998403 3.193651e-04 1.596826e-04 [253,] 0.9996773 6.454518e-04 3.227259e-04 [254,] 0.9993524 1.295265e-03 6.476325e-04 [255,] 0.9990507 1.898523e-03 9.492615e-04 [256,] 0.9984642 3.071605e-03 1.535802e-03 [257,] 0.9969582 6.083550e-03 3.041775e-03 [258,] 0.9965753 6.849425e-03 3.424713e-03 [259,] 0.9964906 7.018777e-03 3.509388e-03 [260,] 0.9999139 1.721789e-04 8.608947e-05 [261,] 0.9999386 1.227192e-04 6.135962e-05 [262,] 0.9998302 3.395176e-04 1.697588e-04 [263,] 0.9995094 9.811137e-04 4.905569e-04 [264,] 0.9999512 9.763369e-05 4.881685e-05 [265,] 0.9998088 3.824758e-04 1.912379e-04 [266,] 0.9995358 9.283089e-04 4.641544e-04 [267,] 0.9981624 3.675149e-03 1.837574e-03 [268,] 0.9976036 4.792756e-03 2.396378e-03 [269,] 0.9899135 2.017294e-02 1.008647e-02 [270,] 0.9603736 7.925287e-02 3.962644e-02 > postscript(file="/var/fisher/rcomp/tmp/10meg1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/29bkv1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/3g7i41355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4e0nq1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5ens21355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 289 Frequency = 1 1 2 3 4 5 65822.72344 10007.15545 16037.42315 -77163.09567 27563.48009 6 7 8 9 10 19021.51045 24761.98821 9058.98339 6205.53387 -3350.29065 11 12 13 14 15 20606.85753 47282.11415 -1717.59716 -6040.33765 21453.82587 16 17 18 19 20 22786.01423 -77847.18178 35358.90003 1993.25182 -838.01689 21 22 23 24 25 -3764.04663 17011.46334 109913.18116 37348.71723 -14101.14600 26 27 28 29 30 -97171.19494 -42261.69941 -17330.41067 35893.67349 1535.64897 31 32 33 34 35 23253.34102 15655.12647 27514.86762 49307.11395 67.61398 36 37 38 39 40 30292.54014 26949.02437 19590.60202 75502.91557 -10978.97716 41 42 43 44 45 17683.18099 26901.60129 -42459.09760 -7398.28092 -36671.38249 46 47 48 49 50 1745.88926 -51125.78152 3577.96886 10469.33892 -72854.49134 51 52 53 54 55 42029.40577 -3631.45239 177.65765 -34522.57090 -44393.43755 56 57 58 59 60 13835.59159 -24200.21320 55234.00554 -2197.49764 -14824.83658 61 62 63 64 65 10527.98672 42837.75916 -4921.77510 7736.96837 -15463.11481 66 67 68 69 70 4665.05002 13226.86403 -4308.67827 -22923.02652 -30859.79810 71 72 73 74 75 20218.54144 67002.03970 37208.89452 -22023.80746 -32962.58656 76 77 78 79 80 -28421.19498 -62169.03188 -8696.70454 -17221.68773 24618.84410 81 82 83 84 85 6070.53946 -27177.23426 40659.37891 31009.29789 21541.86758 86 87 88 89 90 -29711.37034 3550.48847 -17072.88197 65175.78288 1778.92375 91 92 93 94 95 11895.30006 -30074.62200 -14467.27795 12566.39325 21327.23451 96 97 98 99 100 21421.29568 42900.24893 -130356.94006 23003.46022 -16346.70890 101 102 103 104 105 17173.44383 -19301.89602 54877.36827 21355.80248 30337.08010 106 107 108 109 110 15217.86941 -14096.65102 -13090.59127 -4274.77402 10463.14082 111 112 113 114 115 14348.18897 -6486.25729 -7606.79453 -19408.06206 -23264.02887 116 117 118 119 120 -28854.26996 -32363.41091 40539.58294 15961.36688 -37689.16187 121 122 123 124 125 -9542.99642 -56485.90284 -35162.31291 -50652.92282 88258.12748 126 127 128 129 130 7169.24153 2185.69820 -10685.11315 20820.40104 -14898.40876 131 132 133 134 135 -11861.49337 -41300.46473 2824.05086 -55645.53936 -323.88817 136 137 138 139 140 47075.53358 -12350.29483 34440.48469 -23164.64791 -19456.91429 141 142 143 144 145 -23745.09608 -18698.22655 16779.54220 -13375.70050 28029.44549 146 147 148 149 150 -24528.01803 19142.13551 -2380.32367 -25390.20190 22705.06216 151 152 153 154 155 47241.46397 58371.08037 -25453.50953 16915.36348 17515.57688 156 157 158 159 160 50280.70958 41504.95500 16897.24441 -5617.97400 -16204.29501 161 162 163 164 165 26302.51117 731.51630 -19886.05231 -12797.40939 -24518.86215 166 167 168 169 170 45053.60880 553.62305 26294.10487 17130.65379 84643.25435 171 172 173 174 175 -21657.73219 -1453.26389 511.82432 6186.75441 -85325.29210 176 177 178 179 180 1331.50457 -28390.08820 11580.24390 -2711.28724 23313.56249 181 182 183 184 185 -43363.41389 -65692.72385 -6377.99150 28936.86215 21953.37753 186 187 188 189 190 -12137.29261 -8968.90322 4277.32641 3665.95377 17267.38763 191 192 193 194 195 27948.07715 2159.79624 -34691.61018 -853.06314 5620.52031 196 197 198 199 200 -12085.08420 -7748.21248 9436.23500 -32620.88368 -5831.90386 201 202 203 204 205 4197.72004 9254.01764 8911.98868 9155.42180 -32317.87113 206 207 208 209 210 -754.39630 -9813.10050 43630.49713 23597.72626 5619.43263 211 212 213 214 215 -7044.49940 21832.56055 4101.85424 2591.18092 -21256.59818 216 217 218 219 220 3732.17809 -36676.56074 -1164.21191 -538.13208 33636.96222 221 222 223 224 225 -11633.03297 -6132.35541 -64957.42809 11900.89189 7787.98063 226 227 228 229 230 -18381.29936 5306.31269 -25963.01917 -38269.35500 -31090.47737 231 232 233 234 235 -5367.37750 -12044.00131 -34700.49350 -4051.57854 -24360.19074 236 237 238 239 240 -15680.48209 55620.52454 -10679.49442 -13250.01330 -17850.33436 241 242 243 244 245 11334.68789 1364.38633 -19431.21518 -9427.75826 -1041.43180 246 247 248 249 250 -9713.43223 -36340.87608 25958.39119 1634.64355 -24680.37030 251 252 253 254 255 21616.74316 10920.76062 -5534.57179 5830.21254 -18096.95699 256 257 258 259 260 -10650.33838 -21133.19108 8464.57495 12776.90467 -983.23709 261 262 263 264 265 -10358.55258 5681.23739 2580.33990 -14100.93221 -9371.12930 266 267 268 269 270 970.82042 -19819.20592 -13991.94463 47449.55039 -18250.02764 271 272 273 274 275 -2694.05493 9315.95449 -13482.95923 -3259.49370 2638.38091 276 277 278 279 280 -29150.84819 13638.05397 -5636.81489 -12914.18341 22987.74569 281 282 283 284 285 3111.43402 12607.27025 -15056.06438 -1371.59961 9605.32052 286 287 288 289 -1462.70167 -1952.78248 -909.45955 2198.41614 > postscript(file="/var/fisher/rcomp/tmp/6ozlf1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 289 Frequency = 1 lag(myerror, k = 1) myerror 0 65822.72344 NA 1 10007.15545 65822.72344 2 16037.42315 10007.15545 3 -77163.09567 16037.42315 4 27563.48009 -77163.09567 5 19021.51045 27563.48009 6 24761.98821 19021.51045 7 9058.98339 24761.98821 8 6205.53387 9058.98339 9 -3350.29065 6205.53387 10 20606.85753 -3350.29065 11 47282.11415 20606.85753 12 -1717.59716 47282.11415 13 -6040.33765 -1717.59716 14 21453.82587 -6040.33765 15 22786.01423 21453.82587 16 -77847.18178 22786.01423 17 35358.90003 -77847.18178 18 1993.25182 35358.90003 19 -838.01689 1993.25182 20 -3764.04663 -838.01689 21 17011.46334 -3764.04663 22 109913.18116 17011.46334 23 37348.71723 109913.18116 24 -14101.14600 37348.71723 25 -97171.19494 -14101.14600 26 -42261.69941 -97171.19494 27 -17330.41067 -42261.69941 28 35893.67349 -17330.41067 29 1535.64897 35893.67349 30 23253.34102 1535.64897 31 15655.12647 23253.34102 32 27514.86762 15655.12647 33 49307.11395 27514.86762 34 67.61398 49307.11395 35 30292.54014 67.61398 36 26949.02437 30292.54014 37 19590.60202 26949.02437 38 75502.91557 19590.60202 39 -10978.97716 75502.91557 40 17683.18099 -10978.97716 41 26901.60129 17683.18099 42 -42459.09760 26901.60129 43 -7398.28092 -42459.09760 44 -36671.38249 -7398.28092 45 1745.88926 -36671.38249 46 -51125.78152 1745.88926 47 3577.96886 -51125.78152 48 10469.33892 3577.96886 49 -72854.49134 10469.33892 50 42029.40577 -72854.49134 51 -3631.45239 42029.40577 52 177.65765 -3631.45239 53 -34522.57090 177.65765 54 -44393.43755 -34522.57090 55 13835.59159 -44393.43755 56 -24200.21320 13835.59159 57 55234.00554 -24200.21320 58 -2197.49764 55234.00554 59 -14824.83658 -2197.49764 60 10527.98672 -14824.83658 61 42837.75916 10527.98672 62 -4921.77510 42837.75916 63 7736.96837 -4921.77510 64 -15463.11481 7736.96837 65 4665.05002 -15463.11481 66 13226.86403 4665.05002 67 -4308.67827 13226.86403 68 -22923.02652 -4308.67827 69 -30859.79810 -22923.02652 70 20218.54144 -30859.79810 71 67002.03970 20218.54144 72 37208.89452 67002.03970 73 -22023.80746 37208.89452 74 -32962.58656 -22023.80746 75 -28421.19498 -32962.58656 76 -62169.03188 -28421.19498 77 -8696.70454 -62169.03188 78 -17221.68773 -8696.70454 79 24618.84410 -17221.68773 80 6070.53946 24618.84410 81 -27177.23426 6070.53946 82 40659.37891 -27177.23426 83 31009.29789 40659.37891 84 21541.86758 31009.29789 85 -29711.37034 21541.86758 86 3550.48847 -29711.37034 87 -17072.88197 3550.48847 88 65175.78288 -17072.88197 89 1778.92375 65175.78288 90 11895.30006 1778.92375 91 -30074.62200 11895.30006 92 -14467.27795 -30074.62200 93 12566.39325 -14467.27795 94 21327.23451 12566.39325 95 21421.29568 21327.23451 96 42900.24893 21421.29568 97 -130356.94006 42900.24893 98 23003.46022 -130356.94006 99 -16346.70890 23003.46022 100 17173.44383 -16346.70890 101 -19301.89602 17173.44383 102 54877.36827 -19301.89602 103 21355.80248 54877.36827 104 30337.08010 21355.80248 105 15217.86941 30337.08010 106 -14096.65102 15217.86941 107 -13090.59127 -14096.65102 108 -4274.77402 -13090.59127 109 10463.14082 -4274.77402 110 14348.18897 10463.14082 111 -6486.25729 14348.18897 112 -7606.79453 -6486.25729 113 -19408.06206 -7606.79453 114 -23264.02887 -19408.06206 115 -28854.26996 -23264.02887 116 -32363.41091 -28854.26996 117 40539.58294 -32363.41091 118 15961.36688 40539.58294 119 -37689.16187 15961.36688 120 -9542.99642 -37689.16187 121 -56485.90284 -9542.99642 122 -35162.31291 -56485.90284 123 -50652.92282 -35162.31291 124 88258.12748 -50652.92282 125 7169.24153 88258.12748 126 2185.69820 7169.24153 127 -10685.11315 2185.69820 128 20820.40104 -10685.11315 129 -14898.40876 20820.40104 130 -11861.49337 -14898.40876 131 -41300.46473 -11861.49337 132 2824.05086 -41300.46473 133 -55645.53936 2824.05086 134 -323.88817 -55645.53936 135 47075.53358 -323.88817 136 -12350.29483 47075.53358 137 34440.48469 -12350.29483 138 -23164.64791 34440.48469 139 -19456.91429 -23164.64791 140 -23745.09608 -19456.91429 141 -18698.22655 -23745.09608 142 16779.54220 -18698.22655 143 -13375.70050 16779.54220 144 28029.44549 -13375.70050 145 -24528.01803 28029.44549 146 19142.13551 -24528.01803 147 -2380.32367 19142.13551 148 -25390.20190 -2380.32367 149 22705.06216 -25390.20190 150 47241.46397 22705.06216 151 58371.08037 47241.46397 152 -25453.50953 58371.08037 153 16915.36348 -25453.50953 154 17515.57688 16915.36348 155 50280.70958 17515.57688 156 41504.95500 50280.70958 157 16897.24441 41504.95500 158 -5617.97400 16897.24441 159 -16204.29501 -5617.97400 160 26302.51117 -16204.29501 161 731.51630 26302.51117 162 -19886.05231 731.51630 163 -12797.40939 -19886.05231 164 -24518.86215 -12797.40939 165 45053.60880 -24518.86215 166 553.62305 45053.60880 167 26294.10487 553.62305 168 17130.65379 26294.10487 169 84643.25435 17130.65379 170 -21657.73219 84643.25435 171 -1453.26389 -21657.73219 172 511.82432 -1453.26389 173 6186.75441 511.82432 174 -85325.29210 6186.75441 175 1331.50457 -85325.29210 176 -28390.08820 1331.50457 177 11580.24390 -28390.08820 178 -2711.28724 11580.24390 179 23313.56249 -2711.28724 180 -43363.41389 23313.56249 181 -65692.72385 -43363.41389 182 -6377.99150 -65692.72385 183 28936.86215 -6377.99150 184 21953.37753 28936.86215 185 -12137.29261 21953.37753 186 -8968.90322 -12137.29261 187 4277.32641 -8968.90322 188 3665.95377 4277.32641 189 17267.38763 3665.95377 190 27948.07715 17267.38763 191 2159.79624 27948.07715 192 -34691.61018 2159.79624 193 -853.06314 -34691.61018 194 5620.52031 -853.06314 195 -12085.08420 5620.52031 196 -7748.21248 -12085.08420 197 9436.23500 -7748.21248 198 -32620.88368 9436.23500 199 -5831.90386 -32620.88368 200 4197.72004 -5831.90386 201 9254.01764 4197.72004 202 8911.98868 9254.01764 203 9155.42180 8911.98868 204 -32317.87113 9155.42180 205 -754.39630 -32317.87113 206 -9813.10050 -754.39630 207 43630.49713 -9813.10050 208 23597.72626 43630.49713 209 5619.43263 23597.72626 210 -7044.49940 5619.43263 211 21832.56055 -7044.49940 212 4101.85424 21832.56055 213 2591.18092 4101.85424 214 -21256.59818 2591.18092 215 3732.17809 -21256.59818 216 -36676.56074 3732.17809 217 -1164.21191 -36676.56074 218 -538.13208 -1164.21191 219 33636.96222 -538.13208 220 -11633.03297 33636.96222 221 -6132.35541 -11633.03297 222 -64957.42809 -6132.35541 223 11900.89189 -64957.42809 224 7787.98063 11900.89189 225 -18381.29936 7787.98063 226 5306.31269 -18381.29936 227 -25963.01917 5306.31269 228 -38269.35500 -25963.01917 229 -31090.47737 -38269.35500 230 -5367.37750 -31090.47737 231 -12044.00131 -5367.37750 232 -34700.49350 -12044.00131 233 -4051.57854 -34700.49350 234 -24360.19074 -4051.57854 235 -15680.48209 -24360.19074 236 55620.52454 -15680.48209 237 -10679.49442 55620.52454 238 -13250.01330 -10679.49442 239 -17850.33436 -13250.01330 240 11334.68789 -17850.33436 241 1364.38633 11334.68789 242 -19431.21518 1364.38633 243 -9427.75826 -19431.21518 244 -1041.43180 -9427.75826 245 -9713.43223 -1041.43180 246 -36340.87608 -9713.43223 247 25958.39119 -36340.87608 248 1634.64355 25958.39119 249 -24680.37030 1634.64355 250 21616.74316 -24680.37030 251 10920.76062 21616.74316 252 -5534.57179 10920.76062 253 5830.21254 -5534.57179 254 -18096.95699 5830.21254 255 -10650.33838 -18096.95699 256 -21133.19108 -10650.33838 257 8464.57495 -21133.19108 258 12776.90467 8464.57495 259 -983.23709 12776.90467 260 -10358.55258 -983.23709 261 5681.23739 -10358.55258 262 2580.33990 5681.23739 263 -14100.93221 2580.33990 264 -9371.12930 -14100.93221 265 970.82042 -9371.12930 266 -19819.20592 970.82042 267 -13991.94463 -19819.20592 268 47449.55039 -13991.94463 269 -18250.02764 47449.55039 270 -2694.05493 -18250.02764 271 9315.95449 -2694.05493 272 -13482.95923 9315.95449 273 -3259.49370 -13482.95923 274 2638.38091 -3259.49370 275 -29150.84819 2638.38091 276 13638.05397 -29150.84819 277 -5636.81489 13638.05397 278 -12914.18341 -5636.81489 279 22987.74569 -12914.18341 280 3111.43402 22987.74569 281 12607.27025 3111.43402 282 -15056.06438 12607.27025 283 -1371.59961 -15056.06438 284 9605.32052 -1371.59961 285 -1462.70167 9605.32052 286 -1952.78248 -1462.70167 287 -909.45955 -1952.78248 288 2198.41614 -909.45955 289 NA 2198.41614 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 10007.15545 65822.72344 [2,] 16037.42315 10007.15545 [3,] -77163.09567 16037.42315 [4,] 27563.48009 -77163.09567 [5,] 19021.51045 27563.48009 [6,] 24761.98821 19021.51045 [7,] 9058.98339 24761.98821 [8,] 6205.53387 9058.98339 [9,] -3350.29065 6205.53387 [10,] 20606.85753 -3350.29065 [11,] 47282.11415 20606.85753 [12,] -1717.59716 47282.11415 [13,] -6040.33765 -1717.59716 [14,] 21453.82587 -6040.33765 [15,] 22786.01423 21453.82587 [16,] -77847.18178 22786.01423 [17,] 35358.90003 -77847.18178 [18,] 1993.25182 35358.90003 [19,] -838.01689 1993.25182 [20,] -3764.04663 -838.01689 [21,] 17011.46334 -3764.04663 [22,] 109913.18116 17011.46334 [23,] 37348.71723 109913.18116 [24,] -14101.14600 37348.71723 [25,] -97171.19494 -14101.14600 [26,] -42261.69941 -97171.19494 [27,] -17330.41067 -42261.69941 [28,] 35893.67349 -17330.41067 [29,] 1535.64897 35893.67349 [30,] 23253.34102 1535.64897 [31,] 15655.12647 23253.34102 [32,] 27514.86762 15655.12647 [33,] 49307.11395 27514.86762 [34,] 67.61398 49307.11395 [35,] 30292.54014 67.61398 [36,] 26949.02437 30292.54014 [37,] 19590.60202 26949.02437 [38,] 75502.91557 19590.60202 [39,] -10978.97716 75502.91557 [40,] 17683.18099 -10978.97716 [41,] 26901.60129 17683.18099 [42,] -42459.09760 26901.60129 [43,] -7398.28092 -42459.09760 [44,] -36671.38249 -7398.28092 [45,] 1745.88926 -36671.38249 [46,] -51125.78152 1745.88926 [47,] 3577.96886 -51125.78152 [48,] 10469.33892 3577.96886 [49,] -72854.49134 10469.33892 [50,] 42029.40577 -72854.49134 [51,] -3631.45239 42029.40577 [52,] 177.65765 -3631.45239 [53,] -34522.57090 177.65765 [54,] -44393.43755 -34522.57090 [55,] 13835.59159 -44393.43755 [56,] -24200.21320 13835.59159 [57,] 55234.00554 -24200.21320 [58,] -2197.49764 55234.00554 [59,] -14824.83658 -2197.49764 [60,] 10527.98672 -14824.83658 [61,] 42837.75916 10527.98672 [62,] -4921.77510 42837.75916 [63,] 7736.96837 -4921.77510 [64,] -15463.11481 7736.96837 [65,] 4665.05002 -15463.11481 [66,] 13226.86403 4665.05002 [67,] -4308.67827 13226.86403 [68,] -22923.02652 -4308.67827 [69,] -30859.79810 -22923.02652 [70,] 20218.54144 -30859.79810 [71,] 67002.03970 20218.54144 [72,] 37208.89452 67002.03970 [73,] -22023.80746 37208.89452 [74,] -32962.58656 -22023.80746 [75,] -28421.19498 -32962.58656 [76,] -62169.03188 -28421.19498 [77,] -8696.70454 -62169.03188 [78,] -17221.68773 -8696.70454 [79,] 24618.84410 -17221.68773 [80,] 6070.53946 24618.84410 [81,] -27177.23426 6070.53946 [82,] 40659.37891 -27177.23426 [83,] 31009.29789 40659.37891 [84,] 21541.86758 31009.29789 [85,] -29711.37034 21541.86758 [86,] 3550.48847 -29711.37034 [87,] -17072.88197 3550.48847 [88,] 65175.78288 -17072.88197 [89,] 1778.92375 65175.78288 [90,] 11895.30006 1778.92375 [91,] -30074.62200 11895.30006 [92,] -14467.27795 -30074.62200 [93,] 12566.39325 -14467.27795 [94,] 21327.23451 12566.39325 [95,] 21421.29568 21327.23451 [96,] 42900.24893 21421.29568 [97,] -130356.94006 42900.24893 [98,] 23003.46022 -130356.94006 [99,] -16346.70890 23003.46022 [100,] 17173.44383 -16346.70890 [101,] -19301.89602 17173.44383 [102,] 54877.36827 -19301.89602 [103,] 21355.80248 54877.36827 [104,] 30337.08010 21355.80248 [105,] 15217.86941 30337.08010 [106,] -14096.65102 15217.86941 [107,] -13090.59127 -14096.65102 [108,] -4274.77402 -13090.59127 [109,] 10463.14082 -4274.77402 [110,] 14348.18897 10463.14082 [111,] -6486.25729 14348.18897 [112,] -7606.79453 -6486.25729 [113,] -19408.06206 -7606.79453 [114,] -23264.02887 -19408.06206 [115,] -28854.26996 -23264.02887 [116,] -32363.41091 -28854.26996 [117,] 40539.58294 -32363.41091 [118,] 15961.36688 40539.58294 [119,] -37689.16187 15961.36688 [120,] -9542.99642 -37689.16187 [121,] -56485.90284 -9542.99642 [122,] -35162.31291 -56485.90284 [123,] -50652.92282 -35162.31291 [124,] 88258.12748 -50652.92282 [125,] 7169.24153 88258.12748 [126,] 2185.69820 7169.24153 [127,] -10685.11315 2185.69820 [128,] 20820.40104 -10685.11315 [129,] -14898.40876 20820.40104 [130,] -11861.49337 -14898.40876 [131,] -41300.46473 -11861.49337 [132,] 2824.05086 -41300.46473 [133,] -55645.53936 2824.05086 [134,] -323.88817 -55645.53936 [135,] 47075.53358 -323.88817 [136,] -12350.29483 47075.53358 [137,] 34440.48469 -12350.29483 [138,] -23164.64791 34440.48469 [139,] -19456.91429 -23164.64791 [140,] -23745.09608 -19456.91429 [141,] -18698.22655 -23745.09608 [142,] 16779.54220 -18698.22655 [143,] -13375.70050 16779.54220 [144,] 28029.44549 -13375.70050 [145,] -24528.01803 28029.44549 [146,] 19142.13551 -24528.01803 [147,] -2380.32367 19142.13551 [148,] -25390.20190 -2380.32367 [149,] 22705.06216 -25390.20190 [150,] 47241.46397 22705.06216 [151,] 58371.08037 47241.46397 [152,] -25453.50953 58371.08037 [153,] 16915.36348 -25453.50953 [154,] 17515.57688 16915.36348 [155,] 50280.70958 17515.57688 [156,] 41504.95500 50280.70958 [157,] 16897.24441 41504.95500 [158,] -5617.97400 16897.24441 [159,] -16204.29501 -5617.97400 [160,] 26302.51117 -16204.29501 [161,] 731.51630 26302.51117 [162,] -19886.05231 731.51630 [163,] -12797.40939 -19886.05231 [164,] -24518.86215 -12797.40939 [165,] 45053.60880 -24518.86215 [166,] 553.62305 45053.60880 [167,] 26294.10487 553.62305 [168,] 17130.65379 26294.10487 [169,] 84643.25435 17130.65379 [170,] -21657.73219 84643.25435 [171,] -1453.26389 -21657.73219 [172,] 511.82432 -1453.26389 [173,] 6186.75441 511.82432 [174,] -85325.29210 6186.75441 [175,] 1331.50457 -85325.29210 [176,] -28390.08820 1331.50457 [177,] 11580.24390 -28390.08820 [178,] -2711.28724 11580.24390 [179,] 23313.56249 -2711.28724 [180,] -43363.41389 23313.56249 [181,] -65692.72385 -43363.41389 [182,] -6377.99150 -65692.72385 [183,] 28936.86215 -6377.99150 [184,] 21953.37753 28936.86215 [185,] -12137.29261 21953.37753 [186,] -8968.90322 -12137.29261 [187,] 4277.32641 -8968.90322 [188,] 3665.95377 4277.32641 [189,] 17267.38763 3665.95377 [190,] 27948.07715 17267.38763 [191,] 2159.79624 27948.07715 [192,] -34691.61018 2159.79624 [193,] -853.06314 -34691.61018 [194,] 5620.52031 -853.06314 [195,] -12085.08420 5620.52031 [196,] -7748.21248 -12085.08420 [197,] 9436.23500 -7748.21248 [198,] -32620.88368 9436.23500 [199,] -5831.90386 -32620.88368 [200,] 4197.72004 -5831.90386 [201,] 9254.01764 4197.72004 [202,] 8911.98868 9254.01764 [203,] 9155.42180 8911.98868 [204,] -32317.87113 9155.42180 [205,] -754.39630 -32317.87113 [206,] -9813.10050 -754.39630 [207,] 43630.49713 -9813.10050 [208,] 23597.72626 43630.49713 [209,] 5619.43263 23597.72626 [210,] -7044.49940 5619.43263 [211,] 21832.56055 -7044.49940 [212,] 4101.85424 21832.56055 [213,] 2591.18092 4101.85424 [214,] -21256.59818 2591.18092 [215,] 3732.17809 -21256.59818 [216,] -36676.56074 3732.17809 [217,] -1164.21191 -36676.56074 [218,] -538.13208 -1164.21191 [219,] 33636.96222 -538.13208 [220,] -11633.03297 33636.96222 [221,] -6132.35541 -11633.03297 [222,] -64957.42809 -6132.35541 [223,] 11900.89189 -64957.42809 [224,] 7787.98063 11900.89189 [225,] -18381.29936 7787.98063 [226,] 5306.31269 -18381.29936 [227,] -25963.01917 5306.31269 [228,] -38269.35500 -25963.01917 [229,] -31090.47737 -38269.35500 [230,] -5367.37750 -31090.47737 [231,] -12044.00131 -5367.37750 [232,] -34700.49350 -12044.00131 [233,] -4051.57854 -34700.49350 [234,] -24360.19074 -4051.57854 [235,] -15680.48209 -24360.19074 [236,] 55620.52454 -15680.48209 [237,] -10679.49442 55620.52454 [238,] -13250.01330 -10679.49442 [239,] -17850.33436 -13250.01330 [240,] 11334.68789 -17850.33436 [241,] 1364.38633 11334.68789 [242,] -19431.21518 1364.38633 [243,] -9427.75826 -19431.21518 [244,] -1041.43180 -9427.75826 [245,] -9713.43223 -1041.43180 [246,] -36340.87608 -9713.43223 [247,] 25958.39119 -36340.87608 [248,] 1634.64355 25958.39119 [249,] -24680.37030 1634.64355 [250,] 21616.74316 -24680.37030 [251,] 10920.76062 21616.74316 [252,] -5534.57179 10920.76062 [253,] 5830.21254 -5534.57179 [254,] -18096.95699 5830.21254 [255,] -10650.33838 -18096.95699 [256,] -21133.19108 -10650.33838 [257,] 8464.57495 -21133.19108 [258,] 12776.90467 8464.57495 [259,] -983.23709 12776.90467 [260,] -10358.55258 -983.23709 [261,] 5681.23739 -10358.55258 [262,] 2580.33990 5681.23739 [263,] -14100.93221 2580.33990 [264,] -9371.12930 -14100.93221 [265,] 970.82042 -9371.12930 [266,] -19819.20592 970.82042 [267,] -13991.94463 -19819.20592 [268,] 47449.55039 -13991.94463 [269,] -18250.02764 47449.55039 [270,] -2694.05493 -18250.02764 [271,] 9315.95449 -2694.05493 [272,] -13482.95923 9315.95449 [273,] -3259.49370 -13482.95923 [274,] 2638.38091 -3259.49370 [275,] -29150.84819 2638.38091 [276,] 13638.05397 -29150.84819 [277,] -5636.81489 13638.05397 [278,] -12914.18341 -5636.81489 [279,] 22987.74569 -12914.18341 [280,] 3111.43402 22987.74569 [281,] 12607.27025 3111.43402 [282,] -15056.06438 12607.27025 [283,] -1371.59961 -15056.06438 [284,] 9605.32052 -1371.59961 [285,] -1462.70167 9605.32052 [286,] -1952.78248 -1462.70167 [287,] -909.45955 -1952.78248 [288,] 2198.41614 -909.45955 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 10007.15545 65822.72344 2 16037.42315 10007.15545 3 -77163.09567 16037.42315 4 27563.48009 -77163.09567 5 19021.51045 27563.48009 6 24761.98821 19021.51045 7 9058.98339 24761.98821 8 6205.53387 9058.98339 9 -3350.29065 6205.53387 10 20606.85753 -3350.29065 11 47282.11415 20606.85753 12 -1717.59716 47282.11415 13 -6040.33765 -1717.59716 14 21453.82587 -6040.33765 15 22786.01423 21453.82587 16 -77847.18178 22786.01423 17 35358.90003 -77847.18178 18 1993.25182 35358.90003 19 -838.01689 1993.25182 20 -3764.04663 -838.01689 21 17011.46334 -3764.04663 22 109913.18116 17011.46334 23 37348.71723 109913.18116 24 -14101.14600 37348.71723 25 -97171.19494 -14101.14600 26 -42261.69941 -97171.19494 27 -17330.41067 -42261.69941 28 35893.67349 -17330.41067 29 1535.64897 35893.67349 30 23253.34102 1535.64897 31 15655.12647 23253.34102 32 27514.86762 15655.12647 33 49307.11395 27514.86762 34 67.61398 49307.11395 35 30292.54014 67.61398 36 26949.02437 30292.54014 37 19590.60202 26949.02437 38 75502.91557 19590.60202 39 -10978.97716 75502.91557 40 17683.18099 -10978.97716 41 26901.60129 17683.18099 42 -42459.09760 26901.60129 43 -7398.28092 -42459.09760 44 -36671.38249 -7398.28092 45 1745.88926 -36671.38249 46 -51125.78152 1745.88926 47 3577.96886 -51125.78152 48 10469.33892 3577.96886 49 -72854.49134 10469.33892 50 42029.40577 -72854.49134 51 -3631.45239 42029.40577 52 177.65765 -3631.45239 53 -34522.57090 177.65765 54 -44393.43755 -34522.57090 55 13835.59159 -44393.43755 56 -24200.21320 13835.59159 57 55234.00554 -24200.21320 58 -2197.49764 55234.00554 59 -14824.83658 -2197.49764 60 10527.98672 -14824.83658 61 42837.75916 10527.98672 62 -4921.77510 42837.75916 63 7736.96837 -4921.77510 64 -15463.11481 7736.96837 65 4665.05002 -15463.11481 66 13226.86403 4665.05002 67 -4308.67827 13226.86403 68 -22923.02652 -4308.67827 69 -30859.79810 -22923.02652 70 20218.54144 -30859.79810 71 67002.03970 20218.54144 72 37208.89452 67002.03970 73 -22023.80746 37208.89452 74 -32962.58656 -22023.80746 75 -28421.19498 -32962.58656 76 -62169.03188 -28421.19498 77 -8696.70454 -62169.03188 78 -17221.68773 -8696.70454 79 24618.84410 -17221.68773 80 6070.53946 24618.84410 81 -27177.23426 6070.53946 82 40659.37891 -27177.23426 83 31009.29789 40659.37891 84 21541.86758 31009.29789 85 -29711.37034 21541.86758 86 3550.48847 -29711.37034 87 -17072.88197 3550.48847 88 65175.78288 -17072.88197 89 1778.92375 65175.78288 90 11895.30006 1778.92375 91 -30074.62200 11895.30006 92 -14467.27795 -30074.62200 93 12566.39325 -14467.27795 94 21327.23451 12566.39325 95 21421.29568 21327.23451 96 42900.24893 21421.29568 97 -130356.94006 42900.24893 98 23003.46022 -130356.94006 99 -16346.70890 23003.46022 100 17173.44383 -16346.70890 101 -19301.89602 17173.44383 102 54877.36827 -19301.89602 103 21355.80248 54877.36827 104 30337.08010 21355.80248 105 15217.86941 30337.08010 106 -14096.65102 15217.86941 107 -13090.59127 -14096.65102 108 -4274.77402 -13090.59127 109 10463.14082 -4274.77402 110 14348.18897 10463.14082 111 -6486.25729 14348.18897 112 -7606.79453 -6486.25729 113 -19408.06206 -7606.79453 114 -23264.02887 -19408.06206 115 -28854.26996 -23264.02887 116 -32363.41091 -28854.26996 117 40539.58294 -32363.41091 118 15961.36688 40539.58294 119 -37689.16187 15961.36688 120 -9542.99642 -37689.16187 121 -56485.90284 -9542.99642 122 -35162.31291 -56485.90284 123 -50652.92282 -35162.31291 124 88258.12748 -50652.92282 125 7169.24153 88258.12748 126 2185.69820 7169.24153 127 -10685.11315 2185.69820 128 20820.40104 -10685.11315 129 -14898.40876 20820.40104 130 -11861.49337 -14898.40876 131 -41300.46473 -11861.49337 132 2824.05086 -41300.46473 133 -55645.53936 2824.05086 134 -323.88817 -55645.53936 135 47075.53358 -323.88817 136 -12350.29483 47075.53358 137 34440.48469 -12350.29483 138 -23164.64791 34440.48469 139 -19456.91429 -23164.64791 140 -23745.09608 -19456.91429 141 -18698.22655 -23745.09608 142 16779.54220 -18698.22655 143 -13375.70050 16779.54220 144 28029.44549 -13375.70050 145 -24528.01803 28029.44549 146 19142.13551 -24528.01803 147 -2380.32367 19142.13551 148 -25390.20190 -2380.32367 149 22705.06216 -25390.20190 150 47241.46397 22705.06216 151 58371.08037 47241.46397 152 -25453.50953 58371.08037 153 16915.36348 -25453.50953 154 17515.57688 16915.36348 155 50280.70958 17515.57688 156 41504.95500 50280.70958 157 16897.24441 41504.95500 158 -5617.97400 16897.24441 159 -16204.29501 -5617.97400 160 26302.51117 -16204.29501 161 731.51630 26302.51117 162 -19886.05231 731.51630 163 -12797.40939 -19886.05231 164 -24518.86215 -12797.40939 165 45053.60880 -24518.86215 166 553.62305 45053.60880 167 26294.10487 553.62305 168 17130.65379 26294.10487 169 84643.25435 17130.65379 170 -21657.73219 84643.25435 171 -1453.26389 -21657.73219 172 511.82432 -1453.26389 173 6186.75441 511.82432 174 -85325.29210 6186.75441 175 1331.50457 -85325.29210 176 -28390.08820 1331.50457 177 11580.24390 -28390.08820 178 -2711.28724 11580.24390 179 23313.56249 -2711.28724 180 -43363.41389 23313.56249 181 -65692.72385 -43363.41389 182 -6377.99150 -65692.72385 183 28936.86215 -6377.99150 184 21953.37753 28936.86215 185 -12137.29261 21953.37753 186 -8968.90322 -12137.29261 187 4277.32641 -8968.90322 188 3665.95377 4277.32641 189 17267.38763 3665.95377 190 27948.07715 17267.38763 191 2159.79624 27948.07715 192 -34691.61018 2159.79624 193 -853.06314 -34691.61018 194 5620.52031 -853.06314 195 -12085.08420 5620.52031 196 -7748.21248 -12085.08420 197 9436.23500 -7748.21248 198 -32620.88368 9436.23500 199 -5831.90386 -32620.88368 200 4197.72004 -5831.90386 201 9254.01764 4197.72004 202 8911.98868 9254.01764 203 9155.42180 8911.98868 204 -32317.87113 9155.42180 205 -754.39630 -32317.87113 206 -9813.10050 -754.39630 207 43630.49713 -9813.10050 208 23597.72626 43630.49713 209 5619.43263 23597.72626 210 -7044.49940 5619.43263 211 21832.56055 -7044.49940 212 4101.85424 21832.56055 213 2591.18092 4101.85424 214 -21256.59818 2591.18092 215 3732.17809 -21256.59818 216 -36676.56074 3732.17809 217 -1164.21191 -36676.56074 218 -538.13208 -1164.21191 219 33636.96222 -538.13208 220 -11633.03297 33636.96222 221 -6132.35541 -11633.03297 222 -64957.42809 -6132.35541 223 11900.89189 -64957.42809 224 7787.98063 11900.89189 225 -18381.29936 7787.98063 226 5306.31269 -18381.29936 227 -25963.01917 5306.31269 228 -38269.35500 -25963.01917 229 -31090.47737 -38269.35500 230 -5367.37750 -31090.47737 231 -12044.00131 -5367.37750 232 -34700.49350 -12044.00131 233 -4051.57854 -34700.49350 234 -24360.19074 -4051.57854 235 -15680.48209 -24360.19074 236 55620.52454 -15680.48209 237 -10679.49442 55620.52454 238 -13250.01330 -10679.49442 239 -17850.33436 -13250.01330 240 11334.68789 -17850.33436 241 1364.38633 11334.68789 242 -19431.21518 1364.38633 243 -9427.75826 -19431.21518 244 -1041.43180 -9427.75826 245 -9713.43223 -1041.43180 246 -36340.87608 -9713.43223 247 25958.39119 -36340.87608 248 1634.64355 25958.39119 249 -24680.37030 1634.64355 250 21616.74316 -24680.37030 251 10920.76062 21616.74316 252 -5534.57179 10920.76062 253 5830.21254 -5534.57179 254 -18096.95699 5830.21254 255 -10650.33838 -18096.95699 256 -21133.19108 -10650.33838 257 8464.57495 -21133.19108 258 12776.90467 8464.57495 259 -983.23709 12776.90467 260 -10358.55258 -983.23709 261 5681.23739 -10358.55258 262 2580.33990 5681.23739 263 -14100.93221 2580.33990 264 -9371.12930 -14100.93221 265 970.82042 -9371.12930 266 -19819.20592 970.82042 267 -13991.94463 -19819.20592 268 47449.55039 -13991.94463 269 -18250.02764 47449.55039 270 -2694.05493 -18250.02764 271 9315.95449 -2694.05493 272 -13482.95923 9315.95449 273 -3259.49370 -13482.95923 274 2638.38091 -3259.49370 275 -29150.84819 2638.38091 276 13638.05397 -29150.84819 277 -5636.81489 13638.05397 278 -12914.18341 -5636.81489 279 22987.74569 -12914.18341 280 3111.43402 22987.74569 281 12607.27025 3111.43402 282 -15056.06438 12607.27025 283 -1371.59961 -15056.06438 284 9605.32052 -1371.59961 285 -1462.70167 9605.32052 286 -1952.78248 -1462.70167 287 -909.45955 -1952.78248 288 2198.41614 -909.45955 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/702v91355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/8ge9s1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/9ap421355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/fisher/rcomp/tmp/10uanq1355274188.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/1156oq1355274188.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/12hlsb1355274188.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/13xzy61355274188.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/14bpgx1355274188.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/fisher/rcomp/tmp/15qo8j1355274188.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/fisher/rcomp/tmp/16wwxh1355274188.tab") + } > > try(system("convert tmp/10meg1355274188.ps tmp/10meg1355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/29bkv1355274188.ps tmp/29bkv1355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/3g7i41355274188.ps tmp/3g7i41355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/4e0nq1355274188.ps tmp/4e0nq1355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/5ens21355274188.ps tmp/5ens21355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/6ozlf1355274188.ps tmp/6ozlf1355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/702v91355274188.ps tmp/702v91355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/8ge9s1355274188.ps tmp/8ge9s1355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/9ap421355274188.ps tmp/9ap421355274188.png",intern=TRUE)) character(0) > try(system("convert tmp/10uanq1355274188.ps tmp/10uanq1355274188.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 11.846 1.575 13.418