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(210907 + ,56 + ,396 + ,81 + ,3 + ,79 + ,30 + ,120982 + ,56 + ,297 + ,55 + ,4 + ,58 + ,28 + ,176508 + ,54 + ,559 + ,50 + ,12 + ,60 + ,38 + ,179321 + ,89 + ,967 + ,125 + ,2 + ,108 + ,30 + ,123185 + ,40 + ,270 + ,40 + ,1 + ,49 + ,22 + ,52746 + ,25 + ,143 + ,37 + ,3 + ,0 + ,26 + ,385534 + ,92 + ,1562 + ,63 + ,0 + ,121 + ,25 + ,33170 + ,18 + ,109 + ,44 + ,0 + ,1 + ,18 + ,101645 + ,63 + ,371 + ,88 + ,0 + ,20 + ,11 + ,149061 + ,44 + ,656 + ,66 + ,5 + ,43 + ,26 + ,165446 + ,33 + ,511 + ,57 + ,0 + ,69 + ,25 + ,237213 + ,84 + ,655 + ,74 + ,0 + ,78 + ,38 + ,173326 + ,88 + ,465 + ,49 + ,7 + ,86 + ,44 + ,133131 + ,55 + ,525 + ,52 + ,7 + ,44 + ,30 + ,258873 + ,60 + ,885 + ,88 + ,3 + ,104 + ,40 + ,180083 + ,66 + ,497 + ,36 + ,9 + ,63 + ,34 + ,324799 + ,154 + ,1436 + ,108 + ,0 + ,158 + ,47 + ,230964 + ,53 + ,612 + ,43 + ,4 + ,102 + ,30 + ,236785 + ,119 + ,865 + ,75 + ,3 + ,77 + ,31 + ,135473 + ,41 + ,385 + ,32 + ,0 + ,82 + ,23 + ,202925 + ,61 + ,567 + ,44 + ,7 + ,115 + ,36 + ,215147 + ,58 + ,639 + ,85 + ,0 + ,101 + ,36 + ,344297 + ,75 + ,963 + ,86 + ,1 + ,80 + ,30 + ,153935 + ,33 + ,398 + ,56 + ,5 + ,50 + ,25 + ,132943 + ,40 + ,410 + ,50 + ,7 + ,83 + ,39 + ,174724 + ,92 + ,966 + ,135 + ,0 + ,123 + ,34 + ,174415 + ,100 + ,801 + ,63 + ,0 + ,73 + ,31 + ,225548 + ,112 + ,892 + ,81 + ,5 + ,81 + ,31 + ,223632 + ,73 + ,513 + ,52 + ,0 + ,105 + ,33 + ,124817 + ,40 + ,469 + ,44 + ,0 + ,47 + ,25 + ,221698 + ,45 + ,683 + ,113 + ,0 + ,105 + ,33 + ,210767 + ,60 + ,643 + ,39 + ,3 + ,94 + ,35 + ,170266 + ,62 + ,535 + ,73 + ,4 + ,44 + ,42 + ,260561 + ,75 + ,625 + ,48 + ,1 + ,114 + ,43 + ,84853 + ,31 + ,264 + ,33 + ,4 + ,38 + ,30 + ,294424 + ,77 + ,992 + ,59 + ,2 + ,107 + ,33 + ,101011 + ,34 + ,238 + ,41 + ,0 + ,30 + ,13 + ,215641 + ,46 + ,818 + ,69 + ,0 + ,71 + ,32 + ,325107 + ,99 + ,937 + ,64 + ,0 + ,84 + ,36 + ,7176 + ,17 + ,70 + ,1 + ,0 + ,0 + ,0 + ,167542 + ,66 + ,507 + ,59 + ,2 + ,59 + ,28 + ,106408 + ,30 + ,260 + ,32 + ,1 + ,33 + ,14 + ,96560 + ,76 + ,503 + ,129 + ,0 + ,42 + ,17 + ,265769 + ,146 + ,927 + ,37 + ,2 + ,96 + ,32 + ,269651 + ,67 + ,1269 + ,31 + ,10 + ,106 + ,30 + ,149112 + ,56 + ,537 + ,65 + ,6 + ,56 + ,35 + ,175824 + ,107 + ,910 + ,107 + ,0 + ,57 + ,20 + ,152871 + ,58 + ,532 + ,74 + ,5 + ,59 + ,28 + ,111665 + ,34 + ,345 + ,54 + ,4 + ,39 + ,28 + ,116408 + ,61 + ,918 + ,76 + ,1 + ,34 + ,39 + ,362301 + ,119 + ,1635 + ,715 + ,2 + ,76 + ,34 + ,78800 + ,42 + ,330 + ,57 + ,2 + ,20 + ,26 + ,183167 + ,66 + ,557 + ,66 + ,0 + ,91 + ,39 + ,277965 + ,89 + ,1178 + ,106 + ,8 + ,115 + ,39 + ,150629 + ,44 + ,740 + ,54 + ,3 + ,85 + ,33 + ,168809 + ,66 + ,452 + ,32 + ,0 + ,76 + ,28 + ,24188 + ,24 + ,218 + ,20 + ,0 + ,8 + ,4 + ,329267 + ,259 + ,764 + ,71 + ,8 + ,79 + ,39 + ,65029 + ,17 + ,255 + ,21 + ,5 + ,21 + ,18 + ,101097 + ,64 + ,454 + ,70 + ,3 + ,30 + ,14 + ,218946 + ,41 + ,866 + ,112 + ,1 + ,76 + ,29 + ,244052 + ,68 + ,574 + ,66 + ,5 + ,101 + ,44 + ,341570 + ,168 + ,1276 + ,190 + ,1 + ,94 + ,21 + ,103597 + ,43 + ,379 + ,66 + ,1 + ,27 + ,16 + ,233328 + ,132 + ,825 + ,165 + ,5 + ,92 + ,28 + ,256462 + ,105 + ,798 + ,56 + ,0 + ,123 + ,35 + ,206161 + ,71 + ,663 + ,61 + ,12 + ,75 + ,28 + ,311473 + ,112 + ,1069 + ,53 + ,8 + ,128 + ,38 + ,235800 + ,94 + ,921 + ,127 + ,8 + ,105 + ,23 + ,177939 + ,82 + ,858 + ,63 + ,8 + ,55 + ,36 + ,207176 + ,70 + ,711 + ,38 + ,8 + ,56 + ,32 + ,196553 + ,57 + ,503 + ,50 + ,2 + ,41 + ,29 + ,174184 + ,53 + ,382 + ,52 + ,0 + ,72 + ,25 + ,143246 + ,103 + ,464 + ,42 + ,5 + ,67 + ,27 + ,187559 + ,121 + ,717 + ,76 + ,8 + ,75 + ,36 + ,187681 + ,62 + ,690 + ,67 + ,2 + ,114 + ,28 + ,119016 + ,52 + ,462 + ,50 + ,5 + ,118 + ,23 + ,182192 + ,52 + ,657 + ,53 + ,12 + ,77 + ,40 + ,73566 + ,32 + ,385 + ,39 + ,6 + ,22 + ,23 + ,194979 + ,62 + ,577 + ,50 + ,7 + ,66 + ,40 + ,167488 + ,45 + ,619 + ,77 + ,2 + ,69 + ,28 + ,143756 + ,46 + ,479 + ,57 + ,0 + ,105 + ,34 + ,275541 + ,63 + ,817 + ,73 + ,4 + ,116 + ,33 + ,243199 + ,75 + ,752 + ,34 + ,3 + ,88 + ,28 + ,182999 + ,88 + ,430 + ,39 + ,6 + ,73 + ,34 + ,135649 + ,46 + ,451 + ,46 + ,2 + ,99 + ,30 + ,152299 + ,53 + ,537 + ,63 + ,0 + ,62 + ,33 + ,120221 + ,37 + ,519 + ,35 + ,1 + ,53 + ,22 + ,346485 + ,90 + ,1000 + ,106 + ,0 + ,118 + ,38 + ,145790 + ,63 + ,637 + ,43 + ,5 + ,30 + ,26 + ,193339 + ,78 + ,465 + ,47 + ,2 + ,100 + ,35 + ,80953 + ,25 + ,437 + ,31 + ,0 + ,49 + ,8 + ,122774 + ,45 + ,711 + ,162 + ,0 + ,24 + ,24 + ,130585 + ,46 + ,299 + ,57 + ,5 + ,67 + ,29 + ,112611 + ,41 + ,248 + ,36 + ,0 + ,46 + ,20 + ,286468 + ,144 + ,1162 + ,263 + ,1 + ,57 + ,29 + ,241066 + ,82 + ,714 + ,78 + ,0 + ,75 + ,45 + ,148446 + ,91 + ,905 + ,63 + ,1 + ,135 + ,37 + ,204713 + ,71 + ,649 + ,54 + ,1 + ,68 + ,33 + ,182079 + ,63 + ,512 + ,63 + ,2 + ,124 + ,33 + ,140344 + ,53 + ,472 + ,77 + ,6 + ,33 + ,25 + ,220516 + ,62 + ,905 + ,79 + ,1 + ,98 + ,32 + ,243060 + ,63 + ,786 + ,110 + ,4 + ,58 + ,29 + ,162765 + ,32 + ,489 + ,56 + ,2 + ,68 + ,28 + ,182613 + ,39 + ,479 + ,56 + ,3 + ,81 + ,28 + ,232138 + ,62 + ,617 + ,43 + ,0 + ,131 + ,31 + ,265318 + ,117 + ,925 + ,111 + ,10 + ,110 + ,52 + ,85574 + ,34 + ,351 + ,71 + ,0 + ,37 + ,21 + ,310839 + ,92 + ,1144 + ,62 + ,9 + ,130 + ,24 + ,225060 + ,93 + ,669 + ,56 + ,7 + ,93 + ,41 + ,232317 + ,54 + ,707 + ,74 + ,0 + ,118 + ,33 + ,144966 + ,144 + ,458 + ,60 + ,0 + ,39 + ,32 + ,43287 + ,14 + ,214 + ,43 + ,4 + ,13 + ,19 + ,155754 + ,61 + ,599 + ,68 + ,4 + ,74 + ,20 + ,164709 + ,109 + ,572 + ,53 + ,0 + ,81 + ,31 + ,201940 + ,38 + ,897 + ,87 + ,0 + ,109 + ,31 + ,235454 + ,73 + ,819 + ,46 + ,0 + ,151 + ,32 + ,220801 + ,75 + ,720 + ,105 + ,1 + ,51 + ,18 + ,99466 + ,50 + ,273 + ,32 + ,0 + ,28 + ,23 + ,92661 + ,61 + ,508 + ,133 + ,1 + ,40 + ,17 + ,133328 + ,55 + ,506 + ,79 + ,0 + ,56 + ,20 + ,61361 + ,77 + ,451 + ,51 + ,0 + ,27 + ,12 + ,125930 + ,75 + ,699 + ,207 + ,4 + ,37 + ,17 + ,100750 + ,72 + ,407 + ,67 + ,0 + ,83 + ,30 + ,224549 + ,50 + ,465 + ,47 + ,4 + ,54 + ,31 + ,82316 + ,32 + ,245 + ,34 + ,4 + ,27 + ,10 + ,102010 + ,53 + ,370 + ,66 + ,3 + ,28 + ,13 + ,101523 + ,42 + ,316 + ,76 + ,0 + ,59 + ,22 + ,243511 + ,71 + ,603 + ,65 + ,0 + ,133 + ,42 + ,22938 + ,10 + ,154 + ,9 + ,0 + ,12 + ,1 + ,41566 + ,35 + ,229 + ,42 + ,5 + ,0 + ,9 + ,152474 + ,65 + ,577 + ,45 + ,0 + ,106 + ,32 + ,61857 + ,25 + ,192 + ,25 + ,4 + ,23 + ,11 + ,99923 + ,66 + ,617 + ,115 + ,0 + ,44 + ,25 + ,132487 + ,41 + ,411 + ,97 + ,0 + ,71 + ,36 + ,317394 + ,86 + ,975 + ,53 + ,1 + ,116 + ,31 + ,21054 + ,16 + ,146 + ,2 + ,0 + ,4 + ,0 + ,209641 + ,42 + ,705 + ,52 + ,5 + ,62 + ,24 + ,22648 + ,19 + ,184 + ,44 + ,0 + ,12 + ,13 + ,31414 + ,19 + ,200 + ,22 + ,0 + ,18 + ,8 + ,46698 + ,45 + ,274 + ,35 + ,0 + ,14 + ,13 + ,131698 + ,65 + ,502 + ,74 + ,0 + ,60 + ,19 + ,91735 + ,35 + ,382 + ,103 + ,0 + ,7 + ,18 + ,244749 + ,95 + ,964 + ,144 + ,2 + ,98 + ,33 + ,184510 + ,49 + ,537 + ,60 + ,7 + ,64 + ,40 + ,79863 + ,37 + ,438 + ,134 + ,1 + ,29 + ,22 + ,128423 + ,64 + ,369 + ,89 + ,8 + ,32 + ,38 + ,97839 + ,38 + ,417 + ,42 + ,2 + ,25 + ,24 + ,38214 + ,34 + ,276 + ,52 + ,0 + ,16 + ,8 + ,151101 + ,32 + ,514 + ,98 + ,2 + ,48 + ,35 + ,272458 + ,65 + ,822 + ,99 + ,0 + ,100 + ,43 + ,172494 + ,52 + ,389 + ,52 + ,0 + ,46 + ,43 + ,108043 + ,62 + ,466 + ,29 + ,1 + ,45 + ,14 + ,328107 + ,65 + ,1255 + ,125 + ,3 + ,129 + ,41 + ,250579 + ,83 + ,694 + ,106 + ,0 + ,130 + ,38 + ,351067 + ,95 + ,1024 + ,95 + ,3 + ,136 + ,45 + ,158015 + ,29 + ,400 + ,40 + ,0 + ,59 + ,31 + ,98866 + ,18 + ,397 + ,140 + ,0 + ,25 + ,13 + ,85439 + ,33 + ,350 + ,43 + ,0 + ,32 + ,28 + ,229242 + ,247 + ,719 + ,128 + ,4 + ,63 + ,31 + ,351619 + ,139 + ,1277 + ,142 + ,4 + ,95 + ,40 + ,84207 + ,29 + ,356 + ,73 + ,11 + ,14 + ,30 + ,120445 + ,118 + ,457 + ,72 + ,0 + ,36 + ,16 + ,324598 + ,110 + ,1402 + ,128 + ,0 + ,113 + ,37 + ,131069 + ,67 + ,600 + ,61 + ,4 + ,47 + ,30 + ,204271 + ,42 + ,480 + ,73 + ,0 + ,92 + ,35 + ,165543 + ,65 + ,595 + ,148 + ,1 + ,70 + ,32 + ,141722 + ,94 + ,436 + ,64 + ,0 + ,19 + ,27 + ,116048 + ,64 + ,230 + ,45 + ,0 + ,50 + ,20 + ,250047 + ,81 + ,651 + ,58 + ,0 + ,41 + ,18 + ,299775 + ,95 + ,1367 + ,97 + ,9 + ,91 + ,31 + ,195838 + ,67 + ,564 + ,50 + ,1 + ,111 + ,31 + ,173260 + ,63 + ,716 + ,37 + ,3 + ,41 + ,21 + ,254488 + ,83 + ,747 + ,50 + ,10 + ,120 + ,39 + ,104389 + ,45 + ,467 + ,105 + ,5 + ,135 + ,41 + ,136084 + ,30 + ,671 + ,69 + ,0 + ,27 + ,13 + ,199476 + ,70 + ,861 + ,46 + ,2 + ,87 + ,32 + ,92499 + ,32 + ,319 + ,57 + ,0 + ,25 + ,18 + ,224330 + ,83 + ,612 + ,52 + ,1 + ,131 + ,39 + ,135781 + ,31 + ,433 + ,98 + ,2 + ,45 + ,14 + ,74408 + ,67 + ,434 + ,61 + ,4 + ,29 + ,7 + ,81240 + ,66 + ,503 + ,89 + ,0 + ,58 + ,17 + ,14688 + ,10 + ,85 + ,0 + ,0 + ,4 + ,0 + ,181633 + ,70 + ,564 + ,48 + ,2 + ,47 + ,30 + ,271856 + ,103 + ,824 + ,91 + ,1 + ,109 + ,37 + ,7199 + ,5 + ,74 + ,0 + ,0 + ,7 + ,0 + ,46660 + ,20 + ,259 + ,7 + ,0 + ,12 + ,5 + ,17547 + ,5 + ,69 + ,3 + ,0 + ,0 + ,1 + ,133368 + ,36 + ,535 + ,54 + ,1 + ,37 + ,16 + ,95227 + ,34 + ,239 + ,70 + ,0 + ,37 + ,32 + ,152601 + ,48 + ,438 + ,36 + ,2 + ,46 + ,24 + ,98146 + ,40 + ,459 + ,37 + ,0 + ,15 + ,17 + ,79619 + ,43 + ,426 + ,123 + ,3 + ,42 + ,11 + ,59194 + ,31 + ,288 + ,247 + ,6 + ,7 + ,24 + ,139942 + ,42 + ,498 + ,46 + ,0 + ,54 + ,22 + ,118612 + ,46 + ,454 + ,72 + ,2 + ,54 + ,12 + ,72880 + ,33 + ,376 + ,41 + ,0 + ,14 + ,19 + ,65475 + ,18 + ,225 + ,24 + ,2 + ,16 + ,13 + ,99643 + ,55 + ,555 + ,45 + ,1 + ,33 + ,17 + ,71965 + ,35 + ,252 + ,33 + ,1 + ,32 + ,15 + ,77272 + ,59 + ,208 + ,27 + ,2 + ,21 + ,16 + ,49289 + ,19 + ,130 + ,36 + ,1 + ,15 + ,24 + ,135131 + ,66 + ,481 + ,87 + ,0 + ,38 + ,15 + ,108446 + ,60 + ,389 + ,90 + ,1 + ,22 + ,17 + ,89746 + ,36 + ,565 + ,114 + ,3 + ,28 + ,18 + ,44296 + ,25 + ,173 + ,31 + ,0 + ,10 + ,20 + ,77648 + ,47 + ,278 + ,45 + ,0 + ,31 + ,16 + ,181528 + ,54 + ,609 + ,69 + ,0 + ,32 + ,16 + ,134019 + ,53 + ,422 + ,51 + ,0 + ,32 + ,18 + ,124064 + ,40 + ,445 + ,34 + ,1 + ,43 + ,22 + ,92630 + ,40 + ,387 + ,60 + ,4 + ,27 + ,8 + ,121848 + ,39 + ,339 + ,45 + ,0 + ,37 + ,17 + ,52915 + ,14 + ,181 + ,54 + ,0 + ,20 + ,18 + ,81872 + ,45 + ,245 + ,25 + ,0 + ,32 + ,16 + ,58981 + ,36 + ,384 + ,38 + ,7 + ,0 + ,23 + ,53515 + ,28 + ,212 + ,52 + ,2 + ,5 + ,22 + ,60812 + ,44 + ,399 + ,67 + ,0 + ,26 + ,13 + ,56375 + ,30 + ,229 + ,74 + ,7 + ,10 + ,13 + ,65490 + ,22 + ,224 + ,38 + ,3 + ,27 + ,16 + ,80949 + ,17 + ,203 + ,30 + ,0 + ,11 + ,16 + ,76302 + ,31 + ,333 + ,26 + ,0 + ,29 + ,20 + ,104011 + ,55 + ,384 + ,67 + ,6 + ,25 + ,22 + ,98104 + ,54 + ,636 + ,132 + ,2 + ,55 + ,17 + ,67989 + ,21 + ,185 + ,42 + ,0 + ,23 + ,18 + ,30989 + ,14 + ,93 + ,35 + ,0 + ,5 + ,17 + ,135458 + ,81 + ,581 + ,118 + ,3 + ,43 + ,12 + ,73504 + ,35 + ,248 + ,68 + ,0 + ,23 + ,7 + ,63123 + ,43 + ,304 + ,43 + ,1 + ,34 + ,17 + ,61254 + ,46 + ,344 + ,76 + ,1 + ,36 + ,14 + ,74914 + ,30 + ,407 + ,64 + ,0 + ,35 + ,23 + ,31774 + ,23 + ,170 + ,48 + ,1 + ,0 + ,17 + ,81437 + ,38 + ,312 + ,64 + ,0 + ,37 + ,14 + ,87186 + ,54 + ,507 + ,56 + ,0 + ,28 + ,15 + ,50090 + ,20 + ,224 + ,71 + ,0 + ,16 + ,17 + ,65745 + ,53 + ,340 + ,75 + ,0 + ,26 + ,21 + ,56653 + ,45 + ,168 + ,39 + ,0 + ,38 + ,18 + ,158399 + ,39 + ,443 + ,42 + ,0 + ,23 + ,18 + ,46455 + ,20 + ,204 + ,39 + ,0 + ,22 + ,17 + ,73624 + ,24 + ,367 + ,93 + ,0 + ,30 + ,17 + ,38395 + ,31 + ,210 + ,38 + ,0 + ,16 + ,16 + ,91899 + ,35 + ,335 + ,60 + ,0 + ,18 + ,15 + ,139526 + ,151 + ,364 + ,71 + ,0 + ,28 + ,21 + ,52164 + ,52 + ,178 + ,52 + ,0 + ,32 + ,16 + ,51567 + ,30 + ,206 + ,27 + ,2 + ,21 + ,14 + ,70551 + ,31 + ,279 + ,59 + ,0 + ,23 + ,15 + ,84856 + ,29 + ,387 + ,40 + ,1 + ,29 + ,17 + ,102538 + ,57 + ,490 + ,79 + ,1 + ,50 + ,15 + ,86678 + ,40 + ,238 + ,44 + ,0 + ,12 + ,15 + ,85709 + ,44 + ,343 + ,65 + ,0 + ,21 + ,10 + ,34662 + ,25 + ,232 + ,10 + ,0 + ,18 + ,6 + ,150580 + ,77 + ,530 + ,124 + ,0 + ,27 + ,22 + ,99611 + ,35 + ,291 + ,81 + ,0 + ,41 + ,21 + ,19349 + ,11 + ,67 + ,15 + ,0 + ,13 + ,1 + ,99373 + ,63 + ,397 + ,92 + ,1 + ,12 + ,18 + ,86230 + ,44 + ,467 + ,42 + ,0 + ,21 + ,17 + ,30837 + ,19 + ,178 + ,10 + ,0 + ,8 + ,4 + ,31706 + ,13 + ,175 + ,24 + ,0 + ,26 + ,10 + ,89806 + ,42 + ,299 + ,64 + ,0 + ,27 + ,16 + ,62088 + ,38 + ,154 + ,45 + ,1 + ,13 + ,16 + ,40151 + ,29 + ,106 + ,22 + ,0 + ,16 + ,9 + ,27634 + ,20 + ,189 + ,56 + ,0 + ,2 + ,16 + ,76990 + ,27 + ,194 + ,94 + ,0 + ,42 + ,17 + ,37460 + ,20 + ,135 + ,19 + ,0 + ,5 + ,7 + ,54157 + ,19 + ,201 + ,35 + ,0 + ,37 + ,15 + ,49862 + ,37 + ,207 + ,32 + ,0 + ,17 + ,14 + ,84337 + ,26 + ,280 + ,35 + ,0 + ,38 + ,14 + ,64175 + ,42 + ,260 + ,48 + ,0 + ,37 + ,18 + ,59382 + ,49 + ,227 + ,49 + ,0 + ,29 + ,12 + ,119308 + ,30 + ,239 + ,48 + ,0 + ,32 + ,16 + ,76702 + ,49 + ,333 + ,62 + ,0 + ,35 + ,21 + ,103425 + ,67 + ,428 + ,96 + ,1 + ,17 + ,19 + ,70344 + ,28 + ,230 + ,45 + ,0 + ,20 + ,16 + ,43410 + ,19 + ,292 + ,63 + ,0 + ,7 + ,1 + ,104838 + ,49 + ,350 + ,71 + ,1 + ,46 + ,16 + ,62215 + ,27 + ,186 + ,26 + ,0 + ,24 + ,10 + ,69304 + ,30 + ,326 + ,48 + ,6 + ,40 + ,19 + ,53117 + ,22 + ,155 + ,29 + ,3 + ,3 + ,12 + ,19764 + ,12 + ,75 + ,19 + ,1 + ,10 + ,2 + ,86680 + ,31 + ,361 + ,45 + ,2 + ,37 + ,14 + ,84105 + ,20 + ,261 + ,45 + ,0 + ,17 + ,17 + ,77945 + ,20 + ,299 + ,67 + ,0 + ,28 + ,19 + ,89113 + ,39 + ,300 + ,30 + ,0 + ,19 + ,14 + ,91005 + ,29 + ,450 + ,36 + ,3 + ,29 + ,11 + ,40248 + ,16 + ,183 + ,34 + ,1 + ,8 + ,4 + ,64187 + ,27 + ,238 + ,36 + ,0 + ,10 + ,16 + ,50857 + ,21 + ,165 + ,34 + ,0 + ,15 + ,20 + ,56613 + ,19 + ,234 + ,37 + ,1 + ,15 + ,12 + ,62792 + ,35 + ,176 + ,46 + ,0 + ,28 + ,15 + ,72535 + ,14 + ,329 + ,44 + ,0 + ,17 + ,16) + ,dim=c(7 + ,289) + ,dimnames=list(c('time_in_rfc' + ,'logins' + ,'compendium_views_info' + ,'compendium_views_pr' + ,'shared_compendiums' + ,'blogged_computations' + ,'compendiums_reviewed') + ,1:289)) > y <- array(NA,dim=c(7,289),dimnames=list(c('time_in_rfc','logins','compendium_views_info','compendium_views_pr','shared_compendiums','blogged_computations','compendiums_reviewed'),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 = '3' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '3' > #'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 compendium_views_info time_in_rfc logins compendium_views_pr 1 396 210907 56 81 2 297 120982 56 55 3 559 176508 54 50 4 967 179321 89 125 5 270 123185 40 40 6 143 52746 25 37 7 1562 385534 92 63 8 109 33170 18 44 9 371 101645 63 88 10 656 149061 44 66 11 511 165446 33 57 12 655 237213 84 74 13 465 173326 88 49 14 525 133131 55 52 15 885 258873 60 88 16 497 180083 66 36 17 1436 324799 154 108 18 612 230964 53 43 19 865 236785 119 75 20 385 135473 41 32 21 567 202925 61 44 22 639 215147 58 85 23 963 344297 75 86 24 398 153935 33 56 25 410 132943 40 50 26 966 174724 92 135 27 801 174415 100 63 28 892 225548 112 81 29 513 223632 73 52 30 469 124817 40 44 31 683 221698 45 113 32 643 210767 60 39 33 535 170266 62 73 34 625 260561 75 48 35 264 84853 31 33 36 992 294424 77 59 37 238 101011 34 41 38 818 215641 46 69 39 937 325107 99 64 40 70 7176 17 1 41 507 167542 66 59 42 260 106408 30 32 43 503 96560 76 129 44 927 265769 146 37 45 1269 269651 67 31 46 537 149112 56 65 47 910 175824 107 107 48 532 152871 58 74 49 345 111665 34 54 50 918 116408 61 76 51 1635 362301 119 715 52 330 78800 42 57 53 557 183167 66 66 54 1178 277965 89 106 55 740 150629 44 54 56 452 168809 66 32 57 218 24188 24 20 58 764 329267 259 71 59 255 65029 17 21 60 454 101097 64 70 61 866 218946 41 112 62 574 244052 68 66 63 1276 341570 168 190 64 379 103597 43 66 65 825 233328 132 165 66 798 256462 105 56 67 663 206161 71 61 68 1069 311473 112 53 69 921 235800 94 127 70 858 177939 82 63 71 711 207176 70 38 72 503 196553 57 50 73 382 174184 53 52 74 464 143246 103 42 75 717 187559 121 76 76 690 187681 62 67 77 462 119016 52 50 78 657 182192 52 53 79 385 73566 32 39 80 577 194979 62 50 81 619 167488 45 77 82 479 143756 46 57 83 817 275541 63 73 84 752 243199 75 34 85 430 182999 88 39 86 451 135649 46 46 87 537 152299 53 63 88 519 120221 37 35 89 1000 346485 90 106 90 637 145790 63 43 91 465 193339 78 47 92 437 80953 25 31 93 711 122774 45 162 94 299 130585 46 57 95 248 112611 41 36 96 1162 286468 144 263 97 714 241066 82 78 98 905 148446 91 63 99 649 204713 71 54 100 512 182079 63 63 101 472 140344 53 77 102 905 220516 62 79 103 786 243060 63 110 104 489 162765 32 56 105 479 182613 39 56 106 617 232138 62 43 107 925 265318 117 111 108 351 85574 34 71 109 1144 310839 92 62 110 669 225060 93 56 111 707 232317 54 74 112 458 144966 144 60 113 214 43287 14 43 114 599 155754 61 68 115 572 164709 109 53 116 897 201940 38 87 117 819 235454 73 46 118 720 220801 75 105 119 273 99466 50 32 120 508 92661 61 133 121 506 133328 55 79 122 451 61361 77 51 123 699 125930 75 207 124 407 100750 72 67 125 465 224549 50 47 126 245 82316 32 34 127 370 102010 53 66 128 316 101523 42 76 129 603 243511 71 65 130 154 22938 10 9 131 229 41566 35 42 132 577 152474 65 45 133 192 61857 25 25 134 617 99923 66 115 135 411 132487 41 97 136 975 317394 86 53 137 146 21054 16 2 138 705 209641 42 52 139 184 22648 19 44 140 200 31414 19 22 141 274 46698 45 35 142 502 131698 65 74 143 382 91735 35 103 144 964 244749 95 144 145 537 184510 49 60 146 438 79863 37 134 147 369 128423 64 89 148 417 97839 38 42 149 276 38214 34 52 150 514 151101 32 98 151 822 272458 65 99 152 389 172494 52 52 153 466 108043 62 29 154 1255 328107 65 125 155 694 250579 83 106 156 1024 351067 95 95 157 400 158015 29 40 158 397 98866 18 140 159 350 85439 33 43 160 719 229242 247 128 161 1277 351619 139 142 162 356 84207 29 73 163 457 120445 118 72 164 1402 324598 110 128 165 600 131069 67 61 166 480 204271 42 73 167 595 165543 65 148 168 436 141722 94 64 169 230 116048 64 45 170 651 250047 81 58 171 1367 299775 95 97 172 564 195838 67 50 173 716 173260 63 37 174 747 254488 83 50 175 467 104389 45 105 176 671 136084 30 69 177 861 199476 70 46 178 319 92499 32 57 179 612 224330 83 52 180 433 135781 31 98 181 434 74408 67 61 182 503 81240 66 89 183 85 14688 10 0 184 564 181633 70 48 185 824 271856 103 91 186 74 7199 5 0 187 259 46660 20 7 188 69 17547 5 3 189 535 133368 36 54 190 239 95227 34 70 191 438 152601 48 36 192 459 98146 40 37 193 426 79619 43 123 194 288 59194 31 247 195 498 139942 42 46 196 454 118612 46 72 197 376 72880 33 41 198 225 65475 18 24 199 555 99643 55 45 200 252 71965 35 33 201 208 77272 59 27 202 130 49289 19 36 203 481 135131 66 87 204 389 108446 60 90 205 565 89746 36 114 206 173 44296 25 31 207 278 77648 47 45 208 609 181528 54 69 209 422 134019 53 51 210 445 124064 40 34 211 387 92630 40 60 212 339 121848 39 45 213 181 52915 14 54 214 245 81872 45 25 215 384 58981 36 38 216 212 53515 28 52 217 399 60812 44 67 218 229 56375 30 74 219 224 65490 22 38 220 203 80949 17 30 221 333 76302 31 26 222 384 104011 55 67 223 636 98104 54 132 224 185 67989 21 42 225 93 30989 14 35 226 581 135458 81 118 227 248 73504 35 68 228 304 63123 43 43 229 344 61254 46 76 230 407 74914 30 64 231 170 31774 23 48 232 312 81437 38 64 233 507 87186 54 56 234 224 50090 20 71 235 340 65745 53 75 236 168 56653 45 39 237 443 158399 39 42 238 204 46455 20 39 239 367 73624 24 93 240 210 38395 31 38 241 335 91899 35 60 242 364 139526 151 71 243 178 52164 52 52 244 206 51567 30 27 245 279 70551 31 59 246 387 84856 29 40 247 490 102538 57 79 248 238 86678 40 44 249 343 85709 44 65 250 232 34662 25 10 251 530 150580 77 124 252 291 99611 35 81 253 67 19349 11 15 254 397 99373 63 92 255 467 86230 44 42 256 178 30837 19 10 257 175 31706 13 24 258 299 89806 42 64 259 154 62088 38 45 260 106 40151 29 22 261 189 27634 20 56 262 194 76990 27 94 263 135 37460 20 19 264 201 54157 19 35 265 207 49862 37 32 266 280 84337 26 35 267 260 64175 42 48 268 227 59382 49 49 269 239 119308 30 48 270 333 76702 49 62 271 428 103425 67 96 272 230 70344 28 45 273 292 43410 19 63 274 350 104838 49 71 275 186 62215 27 26 276 326 69304 30 48 277 155 53117 22 29 278 75 19764 12 19 279 361 86680 31 45 280 261 84105 20 45 281 299 77945 20 67 282 300 89113 39 30 283 450 91005 29 36 284 183 40248 16 34 285 238 64187 27 36 286 165 50857 21 34 287 234 56613 19 37 288 176 62792 35 46 289 329 72535 14 44 shared_compendiums blogged_computations compendiums_reviewed 1 3 79 30 2 4 58 28 3 12 60 38 4 2 108 30 5 1 49 22 6 3 0 26 7 0 121 25 8 0 1 18 9 0 20 11 10 5 43 26 11 0 69 25 12 0 78 38 13 7 86 44 14 7 44 30 15 3 104 40 16 9 63 34 17 0 158 47 18 4 102 30 19 3 77 31 20 0 82 23 21 7 115 36 22 0 101 36 23 1 80 30 24 5 50 25 25 7 83 39 26 0 123 34 27 0 73 31 28 5 81 31 29 0 105 33 30 0 47 25 31 0 105 33 32 3 94 35 33 4 44 42 34 1 114 43 35 4 38 30 36 2 107 33 37 0 30 13 38 0 71 32 39 0 84 36 40 0 0 0 41 2 59 28 42 1 33 14 43 0 42 17 44 2 96 32 45 10 106 30 46 6 56 35 47 0 57 20 48 5 59 28 49 4 39 28 50 1 34 39 51 2 76 34 52 2 20 26 53 0 91 39 54 8 115 39 55 3 85 33 56 0 76 28 57 0 8 4 58 8 79 39 59 5 21 18 60 3 30 14 61 1 76 29 62 5 101 44 63 1 94 21 64 1 27 16 65 5 92 28 66 0 123 35 67 12 75 28 68 8 128 38 69 8 105 23 70 8 55 36 71 8 56 32 72 2 41 29 73 0 72 25 74 5 67 27 75 8 75 36 76 2 114 28 77 5 118 23 78 12 77 40 79 6 22 23 80 7 66 40 81 2 69 28 82 0 105 34 83 4 116 33 84 3 88 28 85 6 73 34 86 2 99 30 87 0 62 33 88 1 53 22 89 0 118 38 90 5 30 26 91 2 100 35 92 0 49 8 93 0 24 24 94 5 67 29 95 0 46 20 96 1 57 29 97 0 75 45 98 1 135 37 99 1 68 33 100 2 124 33 101 6 33 25 102 1 98 32 103 4 58 29 104 2 68 28 105 3 81 28 106 0 131 31 107 10 110 52 108 0 37 21 109 9 130 24 110 7 93 41 111 0 118 33 112 0 39 32 113 4 13 19 114 4 74 20 115 0 81 31 116 0 109 31 117 0 151 32 118 1 51 18 119 0 28 23 120 1 40 17 121 0 56 20 122 0 27 12 123 4 37 17 124 0 83 30 125 4 54 31 126 4 27 10 127 3 28 13 128 0 59 22 129 0 133 42 130 0 12 1 131 5 0 9 132 0 106 32 133 4 23 11 134 0 44 25 135 0 71 36 136 1 116 31 137 0 4 0 138 5 62 24 139 0 12 13 140 0 18 8 141 0 14 13 142 0 60 19 143 0 7 18 144 2 98 33 145 7 64 40 146 1 29 22 147 8 32 38 148 2 25 24 149 0 16 8 150 2 48 35 151 0 100 43 152 0 46 43 153 1 45 14 154 3 129 41 155 0 130 38 156 3 136 45 157 0 59 31 158 0 25 13 159 0 32 28 160 4 63 31 161 4 95 40 162 11 14 30 163 0 36 16 164 0 113 37 165 4 47 30 166 0 92 35 167 1 70 32 168 0 19 27 169 0 50 20 170 0 41 18 171 9 91 31 172 1 111 31 173 3 41 21 174 10 120 39 175 5 135 41 176 0 27 13 177 2 87 32 178 0 25 18 179 1 131 39 180 2 45 14 181 4 29 7 182 0 58 17 183 0 4 0 184 2 47 30 185 1 109 37 186 0 7 0 187 0 12 5 188 0 0 1 189 1 37 16 190 0 37 32 191 2 46 24 192 0 15 17 193 3 42 11 194 6 7 24 195 0 54 22 196 2 54 12 197 0 14 19 198 2 16 13 199 1 33 17 200 1 32 15 201 2 21 16 202 1 15 24 203 0 38 15 204 1 22 17 205 3 28 18 206 0 10 20 207 0 31 16 208 0 32 16 209 0 32 18 210 1 43 22 211 4 27 8 212 0 37 17 213 0 20 18 214 0 32 16 215 7 0 23 216 2 5 22 217 0 26 13 218 7 10 13 219 3 27 16 220 0 11 16 221 0 29 20 222 6 25 22 223 2 55 17 224 0 23 18 225 0 5 17 226 3 43 12 227 0 23 7 228 1 34 17 229 1 36 14 230 0 35 23 231 1 0 17 232 0 37 14 233 0 28 15 234 0 16 17 235 0 26 21 236 0 38 18 237 0 23 18 238 0 22 17 239 0 30 17 240 0 16 16 241 0 18 15 242 0 28 21 243 0 32 16 244 2 21 14 245 0 23 15 246 1 29 17 247 1 50 15 248 0 12 15 249 0 21 10 250 0 18 6 251 0 27 22 252 0 41 21 253 0 13 1 254 1 12 18 255 0 21 17 256 0 8 4 257 0 26 10 258 0 27 16 259 1 13 16 260 0 16 9 261 0 2 16 262 0 42 17 263 0 5 7 264 0 37 15 265 0 17 14 266 0 38 14 267 0 37 18 268 0 29 12 269 0 32 16 270 0 35 21 271 1 17 19 272 0 20 16 273 0 7 1 274 1 46 16 275 0 24 10 276 6 40 19 277 3 3 12 278 1 10 2 279 2 37 14 280 0 17 17 281 0 28 19 282 0 19 14 283 3 29 11 284 1 8 4 285 0 10 16 286 0 15 20 287 1 15 12 288 0 28 15 289 0 17 16 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) time_in_rfc logins 56.910838 0.002529 0.582228 compendium_views_pr shared_compendiums blogged_computations 1.131582 6.110852 1.235528 compendiums_reviewed -4.022962 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -346.28 -66.82 -15.53 46.44 553.98 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 56.9108381 17.5326899 3.246 0.001312 ** time_in_rfc 0.0025287 0.0001872 13.507 < 2e-16 *** logins 0.5822282 0.2909304 2.001 0.046322 * compendium_views_pr 1.1315817 0.1441343 7.851 8.67e-14 *** shared_compendiums 6.1108516 2.7161838 2.250 0.025233 * blogged_computations 1.2355282 0.3627809 3.406 0.000756 *** compendiums_reviewed -4.0229625 1.0985256 -3.662 0.000299 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 114.6 on 282 degrees of freedom Multiple R-squared: 0.8437, Adjusted R-squared: 0.8403 F-statistic: 253.6 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,] 0.9995014 9.971722e-04 4.985861e-04 [2,] 0.9988882 2.223580e-03 1.111790e-03 [3,] 0.9987092 2.581656e-03 1.290828e-03 [4,] 0.9972646 5.470722e-03 2.735361e-03 [5,] 0.9956484 8.703104e-03 4.351552e-03 [6,] 0.9925175 1.496499e-02 7.482494e-03 [7,] 0.9888065 2.238706e-02 1.119353e-02 [8,] 0.9931216 1.375677e-02 6.878383e-03 [9,] 0.9916268 1.674642e-02 8.373209e-03 [10,] 0.9895353 2.092942e-02 1.046471e-02 [11,] 0.9836601 3.267982e-02 1.633991e-02 [12,] 0.9770951 4.580978e-02 2.290489e-02 [13,] 0.9693153 6.136946e-02 3.068473e-02 [14,] 0.9800166 3.996673e-02 1.998337e-02 [15,] 0.9724650 5.507003e-02 2.753501e-02 [16,] 0.9650126 6.997482e-02 3.498741e-02 [17,] 0.9639174 7.216528e-02 3.608264e-02 [18,] 0.9664094 6.718116e-02 3.359058e-02 [19,] 0.9560006 8.799874e-02 4.399937e-02 [20,] 0.9748974 5.020528e-02 2.510264e-02 [21,] 0.9774275 4.514500e-02 2.257250e-02 [22,] 0.9725050 5.498992e-02 2.749496e-02 [23,] 0.9639462 7.210759e-02 3.605379e-02 [24,] 0.9543881 9.122388e-02 4.561194e-02 [25,] 0.9540427 9.191450e-02 4.595725e-02 [26,] 0.9501011 9.979772e-02 4.989886e-02 [27,] 0.9410292 1.179416e-01 5.897082e-02 [28,] 0.9332447 1.335105e-01 6.675527e-02 [29,] 0.9564017 8.719669e-02 4.359835e-02 [30,] 0.9502992 9.940164e-02 4.970082e-02 [31,] 0.9405834 1.188332e-01 5.941660e-02 [32,] 0.9283203 1.433595e-01 7.167974e-02 [33,] 0.9150784 1.698432e-01 8.492158e-02 [34,] 0.9133930 1.732140e-01 8.660700e-02 [35,] 0.9012981 1.974038e-01 9.870189e-02 [36,] 0.9902497 1.950053e-02 9.750263e-03 [37,] 0.9874802 2.503952e-02 1.251976e-02 [38,] 0.9888174 2.236517e-02 1.118259e-02 [39,] 0.9854652 2.906959e-02 1.453480e-02 [40,] 0.9813973 3.720536e-02 1.860268e-02 [41,] 0.9999934 1.314728e-05 6.573641e-06 [42,] 0.9999987 2.592649e-06 1.296324e-06 [43,] 0.9999981 3.875940e-06 1.937970e-06 [44,] 0.9999970 5.918998e-06 2.959499e-06 [45,] 0.9999985 2.960647e-06 1.480323e-06 [46,] 0.9999997 6.786349e-07 3.393174e-07 [47,] 0.9999996 7.644977e-07 3.822489e-07 [48,] 0.9999995 9.626520e-07 4.813260e-07 [49,] 1.0000000 1.214873e-09 6.074366e-10 [50,] 1.0000000 2.140393e-09 1.070196e-09 [51,] 1.0000000 3.739044e-09 1.869522e-09 [52,] 1.0000000 4.090852e-09 2.045426e-09 [53,] 1.0000000 1.624372e-09 8.121862e-10 [54,] 1.0000000 2.941166e-09 1.470583e-09 [55,] 1.0000000 5.237638e-09 2.618819e-09 [56,] 1.0000000 5.120319e-09 2.560160e-09 [57,] 1.0000000 7.050606e-09 3.525303e-09 [58,] 1.0000000 1.041771e-08 5.208856e-09 [59,] 1.0000000 1.678948e-08 8.394738e-09 [60,] 1.0000000 2.843207e-08 1.421604e-08 [61,] 1.0000000 3.174853e-09 1.587427e-09 [62,] 1.0000000 4.635602e-09 2.317801e-09 [63,] 1.0000000 6.445128e-09 3.222564e-09 [64,] 1.0000000 2.523558e-09 1.261779e-09 [65,] 1.0000000 3.704201e-09 1.852100e-09 [66,] 1.0000000 6.151833e-09 3.075916e-09 [67,] 1.0000000 1.031343e-08 5.156715e-09 [68,] 1.0000000 1.401485e-08 7.007423e-09 [69,] 1.0000000 2.196803e-08 1.098401e-08 [70,] 1.0000000 2.272896e-08 1.136448e-08 [71,] 1.0000000 3.721077e-08 1.860538e-08 [72,] 1.0000000 5.898272e-08 2.949136e-08 [73,] 1.0000000 9.067143e-08 4.533571e-08 [74,] 0.9999999 1.112561e-07 5.562806e-08 [75,] 0.9999999 1.804862e-07 9.024309e-08 [76,] 0.9999999 1.080161e-07 5.400807e-08 [77,] 0.9999999 1.628619e-07 8.143094e-08 [78,] 0.9999999 2.437693e-07 1.218846e-07 [79,] 0.9999999 2.499188e-07 1.249594e-07 [80,] 0.9999999 2.831313e-07 1.415656e-07 [81,] 0.9999999 1.735570e-07 8.677852e-08 [82,] 1.0000000 9.886039e-08 4.943020e-08 [83,] 0.9999999 1.162652e-07 5.813259e-08 [84,] 1.0000000 5.317321e-08 2.658660e-08 [85,] 1.0000000 2.869149e-08 1.434575e-08 [86,] 1.0000000 2.406302e-08 1.203151e-08 [87,] 1.0000000 3.840059e-08 1.920029e-08 [88,] 1.0000000 6.226264e-08 3.113132e-08 [89,] 1.0000000 1.776406e-09 8.882029e-10 [90,] 1.0000000 2.994547e-09 1.497274e-09 [91,] 1.0000000 2.224224e-09 1.112112e-09 [92,] 1.0000000 3.579536e-09 1.789768e-09 [93,] 1.0000000 1.948468e-09 9.742342e-10 [94,] 1.0000000 3.149735e-09 1.574867e-09 [95,] 1.0000000 4.931341e-09 2.465671e-09 [96,] 1.0000000 4.250142e-09 2.125071e-09 [97,] 1.0000000 3.134597e-09 1.567299e-09 [98,] 1.0000000 5.222517e-09 2.611259e-09 [99,] 1.0000000 8.649230e-09 4.324615e-09 [100,] 1.0000000 1.212665e-08 6.063325e-09 [101,] 1.0000000 1.715124e-08 8.575618e-09 [102,] 1.0000000 2.410090e-08 1.205045e-08 [103,] 1.0000000 3.628573e-08 1.814287e-08 [104,] 1.0000000 5.755780e-08 2.877890e-08 [105,] 1.0000000 9.294495e-08 4.647247e-08 [106,] 0.9999999 1.449887e-07 7.249434e-08 [107,] 1.0000000 5.306732e-08 2.653366e-08 [108,] 1.0000000 8.115286e-08 4.057643e-08 [109,] 0.9999999 1.120647e-07 5.603234e-08 [110,] 0.9999999 1.685443e-07 8.427215e-08 [111,] 0.9999999 2.516804e-07 1.258402e-07 [112,] 0.9999998 3.961054e-07 1.980527e-07 [113,] 0.9999999 2.581306e-07 1.290653e-07 [114,] 0.9999998 3.915888e-07 1.957944e-07 [115,] 0.9999997 5.760777e-07 2.880388e-07 [116,] 0.9999999 1.517788e-07 7.588938e-08 [117,] 0.9999999 1.625669e-07 8.128346e-08 [118,] 0.9999999 2.283671e-07 1.141835e-07 [119,] 0.9999999 2.747191e-07 1.373595e-07 [120,] 0.9999999 1.487794e-07 7.438970e-08 [121,] 0.9999999 2.354858e-07 1.177429e-07 [122,] 0.9999998 3.705508e-07 1.852754e-07 [123,] 0.9999998 4.902690e-07 2.451345e-07 [124,] 0.9999997 6.045133e-07 3.022567e-07 [125,] 0.9999999 2.143162e-07 1.071581e-07 [126,] 0.9999998 3.108896e-07 1.554448e-07 [127,] 0.9999998 4.625812e-07 2.312906e-07 [128,] 0.9999996 7.179908e-07 3.589954e-07 [129,] 0.9999995 1.053904e-06 5.269522e-07 [130,] 0.9999993 1.463156e-06 7.315781e-07 [131,] 0.9999989 2.118419e-06 1.059210e-06 [132,] 0.9999987 2.619265e-06 1.309632e-06 [133,] 0.9999980 3.948820e-06 1.974410e-06 [134,] 0.9999970 5.920372e-06 2.960186e-06 [135,] 0.9999963 7.446936e-06 3.723468e-06 [136,] 0.9999952 9.556389e-06 4.778195e-06 [137,] 0.9999938 1.239386e-05 6.196931e-06 [138,] 0.9999937 1.264486e-05 6.322430e-06 [139,] 0.9999927 1.450942e-05 7.254712e-06 [140,] 0.9999907 1.853227e-05 9.266137e-06 [141,] 0.9999864 2.719050e-05 1.359525e-05 [142,] 0.9999807 3.868564e-05 1.934282e-05 [143,] 0.9999776 4.482213e-05 2.241107e-05 [144,] 0.9999718 5.632108e-05 2.816054e-05 [145,] 0.9999820 3.591854e-05 1.795927e-05 [146,] 0.9999877 2.459549e-05 1.229775e-05 [147,] 0.9999885 2.302653e-05 1.151326e-05 [148,] 0.9999867 2.660153e-05 1.330077e-05 [149,] 0.9999826 3.483961e-05 1.741980e-05 [150,] 0.9999795 4.099648e-05 2.049824e-05 [151,] 0.9999880 2.403568e-05 1.201784e-05 [152,] 0.9999855 2.898917e-05 1.449458e-05 [153,] 0.9999800 3.997989e-05 1.998995e-05 [154,] 0.9999716 5.678610e-05 2.839305e-05 [155,] 0.9999992 1.605740e-06 8.028698e-07 [156,] 0.9999993 1.325125e-06 6.625624e-07 [157,] 0.9999996 7.546376e-07 3.773188e-07 [158,] 0.9999994 1.140637e-06 5.703183e-07 [159,] 0.9999991 1.760949e-06 8.804747e-07 [160,] 0.9999996 7.287685e-07 3.643842e-07 [161,] 0.9999998 4.001418e-07 2.000709e-07 [162,] 1.0000000 5.220121e-09 2.610060e-09 [163,] 1.0000000 6.142041e-09 3.071021e-09 [164,] 1.0000000 2.918720e-09 1.459360e-09 [165,] 1.0000000 2.521809e-09 1.260904e-09 [166,] 1.0000000 4.314977e-09 2.157489e-09 [167,] 1.0000000 6.383880e-10 3.191940e-10 [168,] 1.0000000 4.794808e-11 2.397404e-11 [169,] 1.0000000 8.981004e-11 4.490502e-11 [170,] 1.0000000 6.661704e-11 3.330852e-11 [171,] 1.0000000 7.449779e-11 3.724890e-11 [172,] 1.0000000 1.139455e-10 5.697277e-11 [173,] 1.0000000 8.484354e-11 4.242177e-11 [174,] 1.0000000 1.555222e-10 7.776110e-11 [175,] 1.0000000 2.914573e-10 1.457287e-10 [176,] 1.0000000 3.981628e-10 1.990814e-10 [177,] 1.0000000 7.328185e-10 3.664092e-10 [178,] 1.0000000 9.340195e-10 4.670098e-10 [179,] 1.0000000 1.630942e-09 8.154708e-10 [180,] 1.0000000 2.052142e-09 1.026071e-09 [181,] 1.0000000 2.106780e-09 1.053390e-09 [182,] 1.0000000 2.893782e-09 1.446891e-09 [183,] 1.0000000 1.396211e-09 6.981053e-10 [184,] 1.0000000 2.544214e-09 1.272107e-09 [185,] 1.0000000 3.748087e-10 1.874043e-10 [186,] 1.0000000 6.209450e-10 3.104725e-10 [187,] 1.0000000 1.112755e-09 5.563777e-10 [188,] 1.0000000 6.044406e-10 3.022203e-10 [189,] 1.0000000 1.137367e-09 5.686833e-10 [190,] 1.0000000 7.969637e-11 3.984819e-11 [191,] 1.0000000 1.540207e-10 7.701037e-11 [192,] 1.0000000 2.187582e-10 1.093791e-10 [193,] 1.0000000 3.257471e-10 1.628735e-10 [194,] 1.0000000 6.232236e-10 3.116118e-10 [195,] 1.0000000 1.080377e-09 5.401887e-10 [196,] 1.0000000 6.045355e-10 3.022678e-10 [197,] 1.0000000 1.172064e-09 5.860319e-10 [198,] 1.0000000 2.239155e-09 1.119578e-09 [199,] 1.0000000 3.231813e-09 1.615907e-09 [200,] 1.0000000 6.099136e-09 3.049568e-09 [201,] 1.0000000 8.687834e-09 4.343917e-09 [202,] 1.0000000 1.639249e-08 8.196243e-09 [203,] 1.0000000 2.636579e-08 1.318289e-08 [204,] 1.0000000 4.231516e-08 2.115758e-08 [205,] 1.0000000 7.449187e-08 3.724593e-08 [206,] 1.0000000 3.233296e-08 1.616648e-08 [207,] 1.0000000 6.092546e-08 3.046273e-08 [208,] 1.0000000 4.221363e-08 2.110681e-08 [209,] 1.0000000 4.100269e-08 2.050134e-08 [210,] 1.0000000 6.223062e-08 3.111531e-08 [211,] 0.9999999 1.034219e-07 5.171096e-08 [212,] 1.0000000 9.950207e-08 4.975104e-08 [213,] 0.9999999 1.453100e-07 7.265500e-08 [214,] 1.0000000 6.506506e-08 3.253253e-08 [215,] 1.0000000 9.210320e-08 4.605160e-08 [216,] 0.9999999 1.424949e-07 7.124746e-08 [217,] 0.9999999 2.538633e-07 1.269317e-07 [218,] 0.9999998 3.633097e-07 1.816549e-07 [219,] 0.9999997 5.895524e-07 2.947762e-07 [220,] 0.9999995 9.481245e-07 4.740623e-07 [221,] 0.9999997 5.467669e-07 2.733834e-07 [222,] 0.9999995 1.040426e-06 5.202130e-07 [223,] 0.9999990 1.945533e-06 9.727663e-07 [224,] 0.9999999 1.221893e-07 6.109464e-08 [225,] 0.9999999 2.433358e-07 1.216679e-07 [226,] 0.9999999 2.905804e-07 1.452902e-07 [227,] 0.9999998 4.917917e-07 2.458959e-07 [228,] 0.9999995 9.482757e-07 4.741379e-07 [229,] 0.9999991 1.825995e-06 9.129973e-07 [230,] 0.9999986 2.726197e-06 1.363099e-06 [231,] 0.9999979 4.209276e-06 2.104638e-06 [232,] 0.9999960 8.025964e-06 4.012982e-06 [233,] 0.9999976 4.736888e-06 2.368444e-06 [234,] 0.9999966 6.735485e-06 3.367743e-06 [235,] 0.9999938 1.247072e-05 6.235358e-06 [236,] 0.9999883 2.332770e-05 1.166385e-05 [237,] 0.9999896 2.082205e-05 1.041103e-05 [238,] 0.9999907 1.855437e-05 9.277187e-06 [239,] 0.9999883 2.343853e-05 1.171927e-05 [240,] 0.9999778 4.434772e-05 2.217386e-05 [241,] 0.9999755 4.896549e-05 2.448274e-05 [242,] 0.9999526 9.474663e-05 4.737332e-05 [243,] 0.9999241 1.518110e-04 7.590551e-05 [244,] 0.9998743 2.514217e-04 1.257108e-04 [245,] 0.9997644 4.712373e-04 2.356186e-04 [246,] 0.9999763 4.749689e-05 2.374845e-05 [247,] 0.9999605 7.891668e-05 3.945834e-05 [248,] 0.9999358 1.284724e-04 6.423620e-05 [249,] 0.9998713 2.574735e-04 1.287367e-04 [250,] 0.9999006 1.988277e-04 9.941383e-05 [251,] 0.9998520 2.960087e-04 1.480044e-04 [252,] 0.9997285 5.430184e-04 2.715092e-04 [253,] 0.9999187 1.626932e-04 8.134660e-05 [254,] 0.9998179 3.641667e-04 1.820833e-04 [255,] 0.9996026 7.947927e-04 3.973964e-04 [256,] 0.9992342 1.531637e-03 7.658185e-04 [257,] 0.9984580 3.084073e-03 1.542036e-03 [258,] 0.9971016 5.796717e-03 2.898358e-03 [259,] 0.9942845 1.143097e-02 5.715485e-03 [260,] 0.9994615 1.076997e-03 5.384983e-04 [261,] 0.9997432 5.135730e-04 2.567865e-04 [262,] 0.9995108 9.784387e-04 4.892194e-04 [263,] 0.9986674 2.665210e-03 1.332605e-03 [264,] 0.9992603 1.479409e-03 7.397045e-04 [265,] 0.9979415 4.117012e-03 2.058506e-03 [266,] 0.9966482 6.703508e-03 3.351754e-03 [267,] 0.9900381 1.992375e-02 9.961875e-03 [268,] 0.9926694 1.466128e-02 7.330638e-03 [269,] 0.9762946 4.741073e-02 2.370536e-02 [270,] 0.9274643 1.450714e-01 7.253572e-02 > postscript(file="/var/fisher/rcomp/tmp/1kuhp1353255341.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/26ult1353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3bdz51353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4td9l1353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5kmt81353255341.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 6 -313.7533193 -144.1458473 -26.8625980 238.3968988 -145.1127521 -17.4515686 7 8 9 10 11 12 356.3940443 -20.8810829 -59.6622589 142.7651222 -32.6719914 -77.9039142 13 14 15 16 17 18 -108.9120233 64.1202176 53.0445253 -90.5133212 339.7484291 -138.2534885 19 20 21 22 23 24 66.4110539 -83.3541137 -128.3961755 -71.8772561 -89.7961456 -122.5112940 25 26 27 28 29 30 -51.3867321 245.7396487 208.0446121 101.9488071 -207.7358503 65.8848113 31 32 33 34 35 36 -85.5693596 -19.6198881 18.9847130 -162.7588361 -13.5779723 67.3067751 37 38 39 40 41 42 -125.2994362 151.9395895 -31.0417727 -16.0865446 -51.2464603 -110.2283769 43 44 45 46 47 48 28.1887252 69.0567465 384.7376727 31.8149428 235.1322884 -19.7957566 49 50 51 52 53 54 -35.1699286 553.9840768 -185.7834234 52.5353873 -31.7417235 212.3446825 55 56 57 58 59 60 224.8692909 -87.6799459 69.5264880 -346.2792057 15.8995432 25.8907836 61 62 63 64 65 66 121.4778479 -192.6633018 4.7639519 -14.7037365 -117.0819236 -43.1056292 67 68 69 70 71 72 -78.9551803 45.1093825 -16.7174286 260.0809444 57.0970482 -86.9210041 73 74 75 76 77 78 -193.4613704 -67.3534682 32.6264289 6.1494309 -66.5448800 41.5756944 79 80 81 82 83 84 107.9782200 -29.0417843 40.3931309 -25.6649216 -90.9754158 -16.4550972 85 86 87 88 89 90 -175.1136232 -41.6174035 48.9717088 113.8449163 -98.3496104 163.0625444 91 92 93 94 95 96 -174.3840700 97.3880720 201.0074335 -176.0778714 -134.6582351 39.3688934 97 98 99 100 101 102 -0.1417016 324.3777117 14.6103866 -145.9809338 -34.6578271 166.5103944 103 104 105 106 107 108 -26.1391153 -45.0959146 -131.5346816 -148.8262345 15.6198208 16.3242886 109 110 111 112 113 114 58.2695506 -67.2837063 -65.5922943 -36.6788687 26.7493562 0.3509172 115 116 117 118 119 120 -0.2198910 198.9021884 14.3016025 -54.4520346 -42.8232664 43.6155875 121 122 123 124 125 126 1.7893474 151.2971349 43.9726928 -4.2778669 -208.4829390 -94.7448047 127 128 129 130 131 132 -51.0390256 -92.4809943 -179.9389265 12.2750077 4.7274997 43.5247060 133 134 135 136 137 138 -72.7843851 185.0616386 -57.4667817 -19.2837959 19.3281219 24.0596336 139 140 141 142 143 144 46.4384782 37.6383508 68.1975035 -7.2182538 19.9488327 69.3771834 145 146 147 148 149 150 -43.8441891 52.5259327 -86.1838602 96.4697605 56.2330943 14.7441903 151 152 153 154 155 156 -24.3234053 -77.0685113 61.5742350 176.3247655 -172.5789213 -88.8113700 157 158 159 160 161 162 -66.8220582 -57.4085834 82.2705631 -183.8271511 108.4213776 22.8334989 163 164 165 166 167 168 -34.7734731 324.6122599 141.7894777 -173.3832457 -49.7081604 -21.2947965 169 170 171 172 173 174 -189.8671151 -129.2504875 344.2418350 -102.2654373 157.9036008 -110.8254654 175 176 177 178 179 180 -31.3090386 193.3612418 215.8794340 -13.4231906 -130.4200050 -107.7088968 181 182 183 184 185 186 48.7818413 98.2461353 -19.8173805 3.1118006 -75.2415022 -12.6750831 187 188 189 190 191 192 69.8209457 -34.5655795 71.3124119 -74.7014792 -45.9880371 138.6031378 193 194 195 196 197 198 -22.4391825 -164.9095961 32.4923993 -41.7709211 128.3250307 -14.8098647 199 200 201 202 203 204 184.6811755 -29.9151840 -83.0162776 -31.4419054 -41.1024403 -43.8208384 205 206 207 208 209 210 150.6702233 22.5452805 -27.4823956 8.3629066 -29.5025152 41.8671443 211 212 213 214 215 216 -20.9511140 -76.9851274 -31.2730142 -48.6032351 163.7333456 14.7247800 217 218 219 220 221 222 107.0521281 -74.5052347 -41.6516277 -51.6786325 80.2998999 -22.8143825 223 224 225 226 227 228 138.4150542 -59.5944571 -27.8178261 -22.3208783 -92.3653699 34.0451691 229 230 231 232 233 234 25.1425611 120.0476335 27.3132857 -34.7828881 160.5590991 -2.9404288 235 236 237 238 239 240 53.4688409 -77.0403053 -40.6980352 15.0489898 36.0270755 39.5479204 241 242 243 244 245 246 -4.4675654 -164.1072904 -75.1077023 -11.1762979 -9.2011500 79.8116232 247 248 249 250 251 252 43.6723308 -65.6576730 -15.5340183 63.4646865 -37.6904451 -96.0118066 253 254 255 256 257 258 -74.2565877 -0.5091748 161.3356241 26.9398476 11.2918632 -50.8736267 259 260 261 262 263 264 -90.7664755 -77.7835221 49.0931369 -163.1892719 -27.7989953 -28.8976666 265 266 267 268 269 270 1.5655156 -35.5491570 -11.2635173 -51.6039898 -166.5621378 24.6811471 271 272 273 274 275 276 11.2344484 -32.3593249 38.3387978 -79.4682186 -62.8007966 12.4045767 277 278 279 280 281 282 -55.6184522 -70.7958747 14.3128697 -23.7699563 -0.6325955 -6.0624453 283 284 285 286 287 288 95.4292439 -23.3802616 14.3318793 -9.2892624 4.6304646 -86.3766408 289 74.0895651 > postscript(file="/var/fisher/rcomp/tmp/6vq471353255341.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 -313.7533193 NA 1 -144.1458473 -313.7533193 2 -26.8625980 -144.1458473 3 238.3968988 -26.8625980 4 -145.1127521 238.3968988 5 -17.4515686 -145.1127521 6 356.3940443 -17.4515686 7 -20.8810829 356.3940443 8 -59.6622589 -20.8810829 9 142.7651222 -59.6622589 10 -32.6719914 142.7651222 11 -77.9039142 -32.6719914 12 -108.9120233 -77.9039142 13 64.1202176 -108.9120233 14 53.0445253 64.1202176 15 -90.5133212 53.0445253 16 339.7484291 -90.5133212 17 -138.2534885 339.7484291 18 66.4110539 -138.2534885 19 -83.3541137 66.4110539 20 -128.3961755 -83.3541137 21 -71.8772561 -128.3961755 22 -89.7961456 -71.8772561 23 -122.5112940 -89.7961456 24 -51.3867321 -122.5112940 25 245.7396487 -51.3867321 26 208.0446121 245.7396487 27 101.9488071 208.0446121 28 -207.7358503 101.9488071 29 65.8848113 -207.7358503 30 -85.5693596 65.8848113 31 -19.6198881 -85.5693596 32 18.9847130 -19.6198881 33 -162.7588361 18.9847130 34 -13.5779723 -162.7588361 35 67.3067751 -13.5779723 36 -125.2994362 67.3067751 37 151.9395895 -125.2994362 38 -31.0417727 151.9395895 39 -16.0865446 -31.0417727 40 -51.2464603 -16.0865446 41 -110.2283769 -51.2464603 42 28.1887252 -110.2283769 43 69.0567465 28.1887252 44 384.7376727 69.0567465 45 31.8149428 384.7376727 46 235.1322884 31.8149428 47 -19.7957566 235.1322884 48 -35.1699286 -19.7957566 49 553.9840768 -35.1699286 50 -185.7834234 553.9840768 51 52.5353873 -185.7834234 52 -31.7417235 52.5353873 53 212.3446825 -31.7417235 54 224.8692909 212.3446825 55 -87.6799459 224.8692909 56 69.5264880 -87.6799459 57 -346.2792057 69.5264880 58 15.8995432 -346.2792057 59 25.8907836 15.8995432 60 121.4778479 25.8907836 61 -192.6633018 121.4778479 62 4.7639519 -192.6633018 63 -14.7037365 4.7639519 64 -117.0819236 -14.7037365 65 -43.1056292 -117.0819236 66 -78.9551803 -43.1056292 67 45.1093825 -78.9551803 68 -16.7174286 45.1093825 69 260.0809444 -16.7174286 70 57.0970482 260.0809444 71 -86.9210041 57.0970482 72 -193.4613704 -86.9210041 73 -67.3534682 -193.4613704 74 32.6264289 -67.3534682 75 6.1494309 32.6264289 76 -66.5448800 6.1494309 77 41.5756944 -66.5448800 78 107.9782200 41.5756944 79 -29.0417843 107.9782200 80 40.3931309 -29.0417843 81 -25.6649216 40.3931309 82 -90.9754158 -25.6649216 83 -16.4550972 -90.9754158 84 -175.1136232 -16.4550972 85 -41.6174035 -175.1136232 86 48.9717088 -41.6174035 87 113.8449163 48.9717088 88 -98.3496104 113.8449163 89 163.0625444 -98.3496104 90 -174.3840700 163.0625444 91 97.3880720 -174.3840700 92 201.0074335 97.3880720 93 -176.0778714 201.0074335 94 -134.6582351 -176.0778714 95 39.3688934 -134.6582351 96 -0.1417016 39.3688934 97 324.3777117 -0.1417016 98 14.6103866 324.3777117 99 -145.9809338 14.6103866 100 -34.6578271 -145.9809338 101 166.5103944 -34.6578271 102 -26.1391153 166.5103944 103 -45.0959146 -26.1391153 104 -131.5346816 -45.0959146 105 -148.8262345 -131.5346816 106 15.6198208 -148.8262345 107 16.3242886 15.6198208 108 58.2695506 16.3242886 109 -67.2837063 58.2695506 110 -65.5922943 -67.2837063 111 -36.6788687 -65.5922943 112 26.7493562 -36.6788687 113 0.3509172 26.7493562 114 -0.2198910 0.3509172 115 198.9021884 -0.2198910 116 14.3016025 198.9021884 117 -54.4520346 14.3016025 118 -42.8232664 -54.4520346 119 43.6155875 -42.8232664 120 1.7893474 43.6155875 121 151.2971349 1.7893474 122 43.9726928 151.2971349 123 -4.2778669 43.9726928 124 -208.4829390 -4.2778669 125 -94.7448047 -208.4829390 126 -51.0390256 -94.7448047 127 -92.4809943 -51.0390256 128 -179.9389265 -92.4809943 129 12.2750077 -179.9389265 130 4.7274997 12.2750077 131 43.5247060 4.7274997 132 -72.7843851 43.5247060 133 185.0616386 -72.7843851 134 -57.4667817 185.0616386 135 -19.2837959 -57.4667817 136 19.3281219 -19.2837959 137 24.0596336 19.3281219 138 46.4384782 24.0596336 139 37.6383508 46.4384782 140 68.1975035 37.6383508 141 -7.2182538 68.1975035 142 19.9488327 -7.2182538 143 69.3771834 19.9488327 144 -43.8441891 69.3771834 145 52.5259327 -43.8441891 146 -86.1838602 52.5259327 147 96.4697605 -86.1838602 148 56.2330943 96.4697605 149 14.7441903 56.2330943 150 -24.3234053 14.7441903 151 -77.0685113 -24.3234053 152 61.5742350 -77.0685113 153 176.3247655 61.5742350 154 -172.5789213 176.3247655 155 -88.8113700 -172.5789213 156 -66.8220582 -88.8113700 157 -57.4085834 -66.8220582 158 82.2705631 -57.4085834 159 -183.8271511 82.2705631 160 108.4213776 -183.8271511 161 22.8334989 108.4213776 162 -34.7734731 22.8334989 163 324.6122599 -34.7734731 164 141.7894777 324.6122599 165 -173.3832457 141.7894777 166 -49.7081604 -173.3832457 167 -21.2947965 -49.7081604 168 -189.8671151 -21.2947965 169 -129.2504875 -189.8671151 170 344.2418350 -129.2504875 171 -102.2654373 344.2418350 172 157.9036008 -102.2654373 173 -110.8254654 157.9036008 174 -31.3090386 -110.8254654 175 193.3612418 -31.3090386 176 215.8794340 193.3612418 177 -13.4231906 215.8794340 178 -130.4200050 -13.4231906 179 -107.7088968 -130.4200050 180 48.7818413 -107.7088968 181 98.2461353 48.7818413 182 -19.8173805 98.2461353 183 3.1118006 -19.8173805 184 -75.2415022 3.1118006 185 -12.6750831 -75.2415022 186 69.8209457 -12.6750831 187 -34.5655795 69.8209457 188 71.3124119 -34.5655795 189 -74.7014792 71.3124119 190 -45.9880371 -74.7014792 191 138.6031378 -45.9880371 192 -22.4391825 138.6031378 193 -164.9095961 -22.4391825 194 32.4923993 -164.9095961 195 -41.7709211 32.4923993 196 128.3250307 -41.7709211 197 -14.8098647 128.3250307 198 184.6811755 -14.8098647 199 -29.9151840 184.6811755 200 -83.0162776 -29.9151840 201 -31.4419054 -83.0162776 202 -41.1024403 -31.4419054 203 -43.8208384 -41.1024403 204 150.6702233 -43.8208384 205 22.5452805 150.6702233 206 -27.4823956 22.5452805 207 8.3629066 -27.4823956 208 -29.5025152 8.3629066 209 41.8671443 -29.5025152 210 -20.9511140 41.8671443 211 -76.9851274 -20.9511140 212 -31.2730142 -76.9851274 213 -48.6032351 -31.2730142 214 163.7333456 -48.6032351 215 14.7247800 163.7333456 216 107.0521281 14.7247800 217 -74.5052347 107.0521281 218 -41.6516277 -74.5052347 219 -51.6786325 -41.6516277 220 80.2998999 -51.6786325 221 -22.8143825 80.2998999 222 138.4150542 -22.8143825 223 -59.5944571 138.4150542 224 -27.8178261 -59.5944571 225 -22.3208783 -27.8178261 226 -92.3653699 -22.3208783 227 34.0451691 -92.3653699 228 25.1425611 34.0451691 229 120.0476335 25.1425611 230 27.3132857 120.0476335 231 -34.7828881 27.3132857 232 160.5590991 -34.7828881 233 -2.9404288 160.5590991 234 53.4688409 -2.9404288 235 -77.0403053 53.4688409 236 -40.6980352 -77.0403053 237 15.0489898 -40.6980352 238 36.0270755 15.0489898 239 39.5479204 36.0270755 240 -4.4675654 39.5479204 241 -164.1072904 -4.4675654 242 -75.1077023 -164.1072904 243 -11.1762979 -75.1077023 244 -9.2011500 -11.1762979 245 79.8116232 -9.2011500 246 43.6723308 79.8116232 247 -65.6576730 43.6723308 248 -15.5340183 -65.6576730 249 63.4646865 -15.5340183 250 -37.6904451 63.4646865 251 -96.0118066 -37.6904451 252 -74.2565877 -96.0118066 253 -0.5091748 -74.2565877 254 161.3356241 -0.5091748 255 26.9398476 161.3356241 256 11.2918632 26.9398476 257 -50.8736267 11.2918632 258 -90.7664755 -50.8736267 259 -77.7835221 -90.7664755 260 49.0931369 -77.7835221 261 -163.1892719 49.0931369 262 -27.7989953 -163.1892719 263 -28.8976666 -27.7989953 264 1.5655156 -28.8976666 265 -35.5491570 1.5655156 266 -11.2635173 -35.5491570 267 -51.6039898 -11.2635173 268 -166.5621378 -51.6039898 269 24.6811471 -166.5621378 270 11.2344484 24.6811471 271 -32.3593249 11.2344484 272 38.3387978 -32.3593249 273 -79.4682186 38.3387978 274 -62.8007966 -79.4682186 275 12.4045767 -62.8007966 276 -55.6184522 12.4045767 277 -70.7958747 -55.6184522 278 14.3128697 -70.7958747 279 -23.7699563 14.3128697 280 -0.6325955 -23.7699563 281 -6.0624453 -0.6325955 282 95.4292439 -6.0624453 283 -23.3802616 95.4292439 284 14.3318793 -23.3802616 285 -9.2892624 14.3318793 286 4.6304646 -9.2892624 287 -86.3766408 4.6304646 288 74.0895651 -86.3766408 289 NA 74.0895651 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -144.1458473 -313.7533193 [2,] -26.8625980 -144.1458473 [3,] 238.3968988 -26.8625980 [4,] -145.1127521 238.3968988 [5,] -17.4515686 -145.1127521 [6,] 356.3940443 -17.4515686 [7,] -20.8810829 356.3940443 [8,] -59.6622589 -20.8810829 [9,] 142.7651222 -59.6622589 [10,] -32.6719914 142.7651222 [11,] -77.9039142 -32.6719914 [12,] -108.9120233 -77.9039142 [13,] 64.1202176 -108.9120233 [14,] 53.0445253 64.1202176 [15,] -90.5133212 53.0445253 [16,] 339.7484291 -90.5133212 [17,] -138.2534885 339.7484291 [18,] 66.4110539 -138.2534885 [19,] -83.3541137 66.4110539 [20,] -128.3961755 -83.3541137 [21,] -71.8772561 -128.3961755 [22,] -89.7961456 -71.8772561 [23,] -122.5112940 -89.7961456 [24,] -51.3867321 -122.5112940 [25,] 245.7396487 -51.3867321 [26,] 208.0446121 245.7396487 [27,] 101.9488071 208.0446121 [28,] -207.7358503 101.9488071 [29,] 65.8848113 -207.7358503 [30,] -85.5693596 65.8848113 [31,] -19.6198881 -85.5693596 [32,] 18.9847130 -19.6198881 [33,] -162.7588361 18.9847130 [34,] -13.5779723 -162.7588361 [35,] 67.3067751 -13.5779723 [36,] -125.2994362 67.3067751 [37,] 151.9395895 -125.2994362 [38,] -31.0417727 151.9395895 [39,] -16.0865446 -31.0417727 [40,] -51.2464603 -16.0865446 [41,] -110.2283769 -51.2464603 [42,] 28.1887252 -110.2283769 [43,] 69.0567465 28.1887252 [44,] 384.7376727 69.0567465 [45,] 31.8149428 384.7376727 [46,] 235.1322884 31.8149428 [47,] -19.7957566 235.1322884 [48,] -35.1699286 -19.7957566 [49,] 553.9840768 -35.1699286 [50,] -185.7834234 553.9840768 [51,] 52.5353873 -185.7834234 [52,] -31.7417235 52.5353873 [53,] 212.3446825 -31.7417235 [54,] 224.8692909 212.3446825 [55,] -87.6799459 224.8692909 [56,] 69.5264880 -87.6799459 [57,] -346.2792057 69.5264880 [58,] 15.8995432 -346.2792057 [59,] 25.8907836 15.8995432 [60,] 121.4778479 25.8907836 [61,] -192.6633018 121.4778479 [62,] 4.7639519 -192.6633018 [63,] -14.7037365 4.7639519 [64,] -117.0819236 -14.7037365 [65,] -43.1056292 -117.0819236 [66,] -78.9551803 -43.1056292 [67,] 45.1093825 -78.9551803 [68,] -16.7174286 45.1093825 [69,] 260.0809444 -16.7174286 [70,] 57.0970482 260.0809444 [71,] -86.9210041 57.0970482 [72,] -193.4613704 -86.9210041 [73,] -67.3534682 -193.4613704 [74,] 32.6264289 -67.3534682 [75,] 6.1494309 32.6264289 [76,] -66.5448800 6.1494309 [77,] 41.5756944 -66.5448800 [78,] 107.9782200 41.5756944 [79,] -29.0417843 107.9782200 [80,] 40.3931309 -29.0417843 [81,] -25.6649216 40.3931309 [82,] -90.9754158 -25.6649216 [83,] -16.4550972 -90.9754158 [84,] -175.1136232 -16.4550972 [85,] -41.6174035 -175.1136232 [86,] 48.9717088 -41.6174035 [87,] 113.8449163 48.9717088 [88,] -98.3496104 113.8449163 [89,] 163.0625444 -98.3496104 [90,] -174.3840700 163.0625444 [91,] 97.3880720 -174.3840700 [92,] 201.0074335 97.3880720 [93,] -176.0778714 201.0074335 [94,] -134.6582351 -176.0778714 [95,] 39.3688934 -134.6582351 [96,] -0.1417016 39.3688934 [97,] 324.3777117 -0.1417016 [98,] 14.6103866 324.3777117 [99,] -145.9809338 14.6103866 [100,] -34.6578271 -145.9809338 [101,] 166.5103944 -34.6578271 [102,] -26.1391153 166.5103944 [103,] -45.0959146 -26.1391153 [104,] -131.5346816 -45.0959146 [105,] -148.8262345 -131.5346816 [106,] 15.6198208 -148.8262345 [107,] 16.3242886 15.6198208 [108,] 58.2695506 16.3242886 [109,] -67.2837063 58.2695506 [110,] -65.5922943 -67.2837063 [111,] -36.6788687 -65.5922943 [112,] 26.7493562 -36.6788687 [113,] 0.3509172 26.7493562 [114,] -0.2198910 0.3509172 [115,] 198.9021884 -0.2198910 [116,] 14.3016025 198.9021884 [117,] -54.4520346 14.3016025 [118,] -42.8232664 -54.4520346 [119,] 43.6155875 -42.8232664 [120,] 1.7893474 43.6155875 [121,] 151.2971349 1.7893474 [122,] 43.9726928 151.2971349 [123,] -4.2778669 43.9726928 [124,] -208.4829390 -4.2778669 [125,] -94.7448047 -208.4829390 [126,] -51.0390256 -94.7448047 [127,] -92.4809943 -51.0390256 [128,] -179.9389265 -92.4809943 [129,] 12.2750077 -179.9389265 [130,] 4.7274997 12.2750077 [131,] 43.5247060 4.7274997 [132,] -72.7843851 43.5247060 [133,] 185.0616386 -72.7843851 [134,] -57.4667817 185.0616386 [135,] -19.2837959 -57.4667817 [136,] 19.3281219 -19.2837959 [137,] 24.0596336 19.3281219 [138,] 46.4384782 24.0596336 [139,] 37.6383508 46.4384782 [140,] 68.1975035 37.6383508 [141,] -7.2182538 68.1975035 [142,] 19.9488327 -7.2182538 [143,] 69.3771834 19.9488327 [144,] -43.8441891 69.3771834 [145,] 52.5259327 -43.8441891 [146,] -86.1838602 52.5259327 [147,] 96.4697605 -86.1838602 [148,] 56.2330943 96.4697605 [149,] 14.7441903 56.2330943 [150,] -24.3234053 14.7441903 [151,] -77.0685113 -24.3234053 [152,] 61.5742350 -77.0685113 [153,] 176.3247655 61.5742350 [154,] -172.5789213 176.3247655 [155,] -88.8113700 -172.5789213 [156,] -66.8220582 -88.8113700 [157,] -57.4085834 -66.8220582 [158,] 82.2705631 -57.4085834 [159,] -183.8271511 82.2705631 [160,] 108.4213776 -183.8271511 [161,] 22.8334989 108.4213776 [162,] -34.7734731 22.8334989 [163,] 324.6122599 -34.7734731 [164,] 141.7894777 324.6122599 [165,] -173.3832457 141.7894777 [166,] -49.7081604 -173.3832457 [167,] -21.2947965 -49.7081604 [168,] -189.8671151 -21.2947965 [169,] -129.2504875 -189.8671151 [170,] 344.2418350 -129.2504875 [171,] -102.2654373 344.2418350 [172,] 157.9036008 -102.2654373 [173,] -110.8254654 157.9036008 [174,] -31.3090386 -110.8254654 [175,] 193.3612418 -31.3090386 [176,] 215.8794340 193.3612418 [177,] -13.4231906 215.8794340 [178,] -130.4200050 -13.4231906 [179,] -107.7088968 -130.4200050 [180,] 48.7818413 -107.7088968 [181,] 98.2461353 48.7818413 [182,] -19.8173805 98.2461353 [183,] 3.1118006 -19.8173805 [184,] -75.2415022 3.1118006 [185,] -12.6750831 -75.2415022 [186,] 69.8209457 -12.6750831 [187,] -34.5655795 69.8209457 [188,] 71.3124119 -34.5655795 [189,] -74.7014792 71.3124119 [190,] -45.9880371 -74.7014792 [191,] 138.6031378 -45.9880371 [192,] -22.4391825 138.6031378 [193,] -164.9095961 -22.4391825 [194,] 32.4923993 -164.9095961 [195,] -41.7709211 32.4923993 [196,] 128.3250307 -41.7709211 [197,] -14.8098647 128.3250307 [198,] 184.6811755 -14.8098647 [199,] -29.9151840 184.6811755 [200,] -83.0162776 -29.9151840 [201,] -31.4419054 -83.0162776 [202,] -41.1024403 -31.4419054 [203,] -43.8208384 -41.1024403 [204,] 150.6702233 -43.8208384 [205,] 22.5452805 150.6702233 [206,] -27.4823956 22.5452805 [207,] 8.3629066 -27.4823956 [208,] -29.5025152 8.3629066 [209,] 41.8671443 -29.5025152 [210,] -20.9511140 41.8671443 [211,] -76.9851274 -20.9511140 [212,] -31.2730142 -76.9851274 [213,] -48.6032351 -31.2730142 [214,] 163.7333456 -48.6032351 [215,] 14.7247800 163.7333456 [216,] 107.0521281 14.7247800 [217,] -74.5052347 107.0521281 [218,] -41.6516277 -74.5052347 [219,] -51.6786325 -41.6516277 [220,] 80.2998999 -51.6786325 [221,] -22.8143825 80.2998999 [222,] 138.4150542 -22.8143825 [223,] -59.5944571 138.4150542 [224,] -27.8178261 -59.5944571 [225,] -22.3208783 -27.8178261 [226,] -92.3653699 -22.3208783 [227,] 34.0451691 -92.3653699 [228,] 25.1425611 34.0451691 [229,] 120.0476335 25.1425611 [230,] 27.3132857 120.0476335 [231,] -34.7828881 27.3132857 [232,] 160.5590991 -34.7828881 [233,] -2.9404288 160.5590991 [234,] 53.4688409 -2.9404288 [235,] -77.0403053 53.4688409 [236,] -40.6980352 -77.0403053 [237,] 15.0489898 -40.6980352 [238,] 36.0270755 15.0489898 [239,] 39.5479204 36.0270755 [240,] -4.4675654 39.5479204 [241,] -164.1072904 -4.4675654 [242,] -75.1077023 -164.1072904 [243,] -11.1762979 -75.1077023 [244,] -9.2011500 -11.1762979 [245,] 79.8116232 -9.2011500 [246,] 43.6723308 79.8116232 [247,] -65.6576730 43.6723308 [248,] -15.5340183 -65.6576730 [249,] 63.4646865 -15.5340183 [250,] -37.6904451 63.4646865 [251,] -96.0118066 -37.6904451 [252,] -74.2565877 -96.0118066 [253,] -0.5091748 -74.2565877 [254,] 161.3356241 -0.5091748 [255,] 26.9398476 161.3356241 [256,] 11.2918632 26.9398476 [257,] -50.8736267 11.2918632 [258,] -90.7664755 -50.8736267 [259,] -77.7835221 -90.7664755 [260,] 49.0931369 -77.7835221 [261,] -163.1892719 49.0931369 [262,] -27.7989953 -163.1892719 [263,] -28.8976666 -27.7989953 [264,] 1.5655156 -28.8976666 [265,] -35.5491570 1.5655156 [266,] -11.2635173 -35.5491570 [267,] -51.6039898 -11.2635173 [268,] -166.5621378 -51.6039898 [269,] 24.6811471 -166.5621378 [270,] 11.2344484 24.6811471 [271,] -32.3593249 11.2344484 [272,] 38.3387978 -32.3593249 [273,] -79.4682186 38.3387978 [274,] -62.8007966 -79.4682186 [275,] 12.4045767 -62.8007966 [276,] -55.6184522 12.4045767 [277,] -70.7958747 -55.6184522 [278,] 14.3128697 -70.7958747 [279,] -23.7699563 14.3128697 [280,] -0.6325955 -23.7699563 [281,] -6.0624453 -0.6325955 [282,] 95.4292439 -6.0624453 [283,] -23.3802616 95.4292439 [284,] 14.3318793 -23.3802616 [285,] -9.2892624 14.3318793 [286,] 4.6304646 -9.2892624 [287,] -86.3766408 4.6304646 [288,] 74.0895651 -86.3766408 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -144.1458473 -313.7533193 2 -26.8625980 -144.1458473 3 238.3968988 -26.8625980 4 -145.1127521 238.3968988 5 -17.4515686 -145.1127521 6 356.3940443 -17.4515686 7 -20.8810829 356.3940443 8 -59.6622589 -20.8810829 9 142.7651222 -59.6622589 10 -32.6719914 142.7651222 11 -77.9039142 -32.6719914 12 -108.9120233 -77.9039142 13 64.1202176 -108.9120233 14 53.0445253 64.1202176 15 -90.5133212 53.0445253 16 339.7484291 -90.5133212 17 -138.2534885 339.7484291 18 66.4110539 -138.2534885 19 -83.3541137 66.4110539 20 -128.3961755 -83.3541137 21 -71.8772561 -128.3961755 22 -89.7961456 -71.8772561 23 -122.5112940 -89.7961456 24 -51.3867321 -122.5112940 25 245.7396487 -51.3867321 26 208.0446121 245.7396487 27 101.9488071 208.0446121 28 -207.7358503 101.9488071 29 65.8848113 -207.7358503 30 -85.5693596 65.8848113 31 -19.6198881 -85.5693596 32 18.9847130 -19.6198881 33 -162.7588361 18.9847130 34 -13.5779723 -162.7588361 35 67.3067751 -13.5779723 36 -125.2994362 67.3067751 37 151.9395895 -125.2994362 38 -31.0417727 151.9395895 39 -16.0865446 -31.0417727 40 -51.2464603 -16.0865446 41 -110.2283769 -51.2464603 42 28.1887252 -110.2283769 43 69.0567465 28.1887252 44 384.7376727 69.0567465 45 31.8149428 384.7376727 46 235.1322884 31.8149428 47 -19.7957566 235.1322884 48 -35.1699286 -19.7957566 49 553.9840768 -35.1699286 50 -185.7834234 553.9840768 51 52.5353873 -185.7834234 52 -31.7417235 52.5353873 53 212.3446825 -31.7417235 54 224.8692909 212.3446825 55 -87.6799459 224.8692909 56 69.5264880 -87.6799459 57 -346.2792057 69.5264880 58 15.8995432 -346.2792057 59 25.8907836 15.8995432 60 121.4778479 25.8907836 61 -192.6633018 121.4778479 62 4.7639519 -192.6633018 63 -14.7037365 4.7639519 64 -117.0819236 -14.7037365 65 -43.1056292 -117.0819236 66 -78.9551803 -43.1056292 67 45.1093825 -78.9551803 68 -16.7174286 45.1093825 69 260.0809444 -16.7174286 70 57.0970482 260.0809444 71 -86.9210041 57.0970482 72 -193.4613704 -86.9210041 73 -67.3534682 -193.4613704 74 32.6264289 -67.3534682 75 6.1494309 32.6264289 76 -66.5448800 6.1494309 77 41.5756944 -66.5448800 78 107.9782200 41.5756944 79 -29.0417843 107.9782200 80 40.3931309 -29.0417843 81 -25.6649216 40.3931309 82 -90.9754158 -25.6649216 83 -16.4550972 -90.9754158 84 -175.1136232 -16.4550972 85 -41.6174035 -175.1136232 86 48.9717088 -41.6174035 87 113.8449163 48.9717088 88 -98.3496104 113.8449163 89 163.0625444 -98.3496104 90 -174.3840700 163.0625444 91 97.3880720 -174.3840700 92 201.0074335 97.3880720 93 -176.0778714 201.0074335 94 -134.6582351 -176.0778714 95 39.3688934 -134.6582351 96 -0.1417016 39.3688934 97 324.3777117 -0.1417016 98 14.6103866 324.3777117 99 -145.9809338 14.6103866 100 -34.6578271 -145.9809338 101 166.5103944 -34.6578271 102 -26.1391153 166.5103944 103 -45.0959146 -26.1391153 104 -131.5346816 -45.0959146 105 -148.8262345 -131.5346816 106 15.6198208 -148.8262345 107 16.3242886 15.6198208 108 58.2695506 16.3242886 109 -67.2837063 58.2695506 110 -65.5922943 -67.2837063 111 -36.6788687 -65.5922943 112 26.7493562 -36.6788687 113 0.3509172 26.7493562 114 -0.2198910 0.3509172 115 198.9021884 -0.2198910 116 14.3016025 198.9021884 117 -54.4520346 14.3016025 118 -42.8232664 -54.4520346 119 43.6155875 -42.8232664 120 1.7893474 43.6155875 121 151.2971349 1.7893474 122 43.9726928 151.2971349 123 -4.2778669 43.9726928 124 -208.4829390 -4.2778669 125 -94.7448047 -208.4829390 126 -51.0390256 -94.7448047 127 -92.4809943 -51.0390256 128 -179.9389265 -92.4809943 129 12.2750077 -179.9389265 130 4.7274997 12.2750077 131 43.5247060 4.7274997 132 -72.7843851 43.5247060 133 185.0616386 -72.7843851 134 -57.4667817 185.0616386 135 -19.2837959 -57.4667817 136 19.3281219 -19.2837959 137 24.0596336 19.3281219 138 46.4384782 24.0596336 139 37.6383508 46.4384782 140 68.1975035 37.6383508 141 -7.2182538 68.1975035 142 19.9488327 -7.2182538 143 69.3771834 19.9488327 144 -43.8441891 69.3771834 145 52.5259327 -43.8441891 146 -86.1838602 52.5259327 147 96.4697605 -86.1838602 148 56.2330943 96.4697605 149 14.7441903 56.2330943 150 -24.3234053 14.7441903 151 -77.0685113 -24.3234053 152 61.5742350 -77.0685113 153 176.3247655 61.5742350 154 -172.5789213 176.3247655 155 -88.8113700 -172.5789213 156 -66.8220582 -88.8113700 157 -57.4085834 -66.8220582 158 82.2705631 -57.4085834 159 -183.8271511 82.2705631 160 108.4213776 -183.8271511 161 22.8334989 108.4213776 162 -34.7734731 22.8334989 163 324.6122599 -34.7734731 164 141.7894777 324.6122599 165 -173.3832457 141.7894777 166 -49.7081604 -173.3832457 167 -21.2947965 -49.7081604 168 -189.8671151 -21.2947965 169 -129.2504875 -189.8671151 170 344.2418350 -129.2504875 171 -102.2654373 344.2418350 172 157.9036008 -102.2654373 173 -110.8254654 157.9036008 174 -31.3090386 -110.8254654 175 193.3612418 -31.3090386 176 215.8794340 193.3612418 177 -13.4231906 215.8794340 178 -130.4200050 -13.4231906 179 -107.7088968 -130.4200050 180 48.7818413 -107.7088968 181 98.2461353 48.7818413 182 -19.8173805 98.2461353 183 3.1118006 -19.8173805 184 -75.2415022 3.1118006 185 -12.6750831 -75.2415022 186 69.8209457 -12.6750831 187 -34.5655795 69.8209457 188 71.3124119 -34.5655795 189 -74.7014792 71.3124119 190 -45.9880371 -74.7014792 191 138.6031378 -45.9880371 192 -22.4391825 138.6031378 193 -164.9095961 -22.4391825 194 32.4923993 -164.9095961 195 -41.7709211 32.4923993 196 128.3250307 -41.7709211 197 -14.8098647 128.3250307 198 184.6811755 -14.8098647 199 -29.9151840 184.6811755 200 -83.0162776 -29.9151840 201 -31.4419054 -83.0162776 202 -41.1024403 -31.4419054 203 -43.8208384 -41.1024403 204 150.6702233 -43.8208384 205 22.5452805 150.6702233 206 -27.4823956 22.5452805 207 8.3629066 -27.4823956 208 -29.5025152 8.3629066 209 41.8671443 -29.5025152 210 -20.9511140 41.8671443 211 -76.9851274 -20.9511140 212 -31.2730142 -76.9851274 213 -48.6032351 -31.2730142 214 163.7333456 -48.6032351 215 14.7247800 163.7333456 216 107.0521281 14.7247800 217 -74.5052347 107.0521281 218 -41.6516277 -74.5052347 219 -51.6786325 -41.6516277 220 80.2998999 -51.6786325 221 -22.8143825 80.2998999 222 138.4150542 -22.8143825 223 -59.5944571 138.4150542 224 -27.8178261 -59.5944571 225 -22.3208783 -27.8178261 226 -92.3653699 -22.3208783 227 34.0451691 -92.3653699 228 25.1425611 34.0451691 229 120.0476335 25.1425611 230 27.3132857 120.0476335 231 -34.7828881 27.3132857 232 160.5590991 -34.7828881 233 -2.9404288 160.5590991 234 53.4688409 -2.9404288 235 -77.0403053 53.4688409 236 -40.6980352 -77.0403053 237 15.0489898 -40.6980352 238 36.0270755 15.0489898 239 39.5479204 36.0270755 240 -4.4675654 39.5479204 241 -164.1072904 -4.4675654 242 -75.1077023 -164.1072904 243 -11.1762979 -75.1077023 244 -9.2011500 -11.1762979 245 79.8116232 -9.2011500 246 43.6723308 79.8116232 247 -65.6576730 43.6723308 248 -15.5340183 -65.6576730 249 63.4646865 -15.5340183 250 -37.6904451 63.4646865 251 -96.0118066 -37.6904451 252 -74.2565877 -96.0118066 253 -0.5091748 -74.2565877 254 161.3356241 -0.5091748 255 26.9398476 161.3356241 256 11.2918632 26.9398476 257 -50.8736267 11.2918632 258 -90.7664755 -50.8736267 259 -77.7835221 -90.7664755 260 49.0931369 -77.7835221 261 -163.1892719 49.0931369 262 -27.7989953 -163.1892719 263 -28.8976666 -27.7989953 264 1.5655156 -28.8976666 265 -35.5491570 1.5655156 266 -11.2635173 -35.5491570 267 -51.6039898 -11.2635173 268 -166.5621378 -51.6039898 269 24.6811471 -166.5621378 270 11.2344484 24.6811471 271 -32.3593249 11.2344484 272 38.3387978 -32.3593249 273 -79.4682186 38.3387978 274 -62.8007966 -79.4682186 275 12.4045767 -62.8007966 276 -55.6184522 12.4045767 277 -70.7958747 -55.6184522 278 14.3128697 -70.7958747 279 -23.7699563 14.3128697 280 -0.6325955 -23.7699563 281 -6.0624453 -0.6325955 282 95.4292439 -6.0624453 283 -23.3802616 95.4292439 284 14.3318793 -23.3802616 285 -9.2892624 14.3318793 286 4.6304646 -9.2892624 287 -86.3766408 4.6304646 288 74.0895651 -86.3766408 > 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/7ja3e1353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/81kv61353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/93oqv1353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/fisher/rcomp/tmp/10hn9y1353255341.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11iyrp1353255341.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/12nycm1353255341.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/13kkmz1353255341.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/14osqb1353255341.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/158yx01353255341.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/162jcc1353255341.tab") + } > > try(system("convert tmp/1kuhp1353255341.ps tmp/1kuhp1353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/26ult1353255341.ps tmp/26ult1353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/3bdz51353255341.ps tmp/3bdz51353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/4td9l1353255341.ps tmp/4td9l1353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/5kmt81353255341.ps tmp/5kmt81353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/6vq471353255341.ps tmp/6vq471353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/7ja3e1353255341.ps tmp/7ja3e1353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/81kv61353255341.ps tmp/81kv61353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/93oqv1353255341.ps tmp/93oqv1353255341.png",intern=TRUE)) character(0) > try(system("convert tmp/10hn9y1353255341.ps tmp/10hn9y1353255341.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 12.142 1.354 13.496