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(56 + ,396 + ,81 + ,3 + ,79 + ,30 + ,115 + ,56 + ,297 + ,55 + ,4 + ,58 + ,28 + ,109 + ,54 + ,559 + ,50 + ,12 + ,60 + ,38 + ,146 + ,89 + ,967 + ,125 + ,2 + ,108 + ,30 + ,116 + ,40 + ,270 + ,40 + ,1 + ,49 + ,22 + ,68 + ,25 + ,143 + ,37 + ,3 + ,0 + ,26 + ,101 + ,92 + ,1562 + ,63 + ,0 + ,121 + ,25 + ,96 + ,18 + ,109 + ,44 + ,0 + ,1 + ,18 + ,67 + ,63 + ,371 + ,88 + ,0 + ,20 + ,11 + ,44 + ,44 + ,656 + ,66 + ,5 + ,43 + ,26 + ,100 + ,33 + ,511 + ,57 + ,0 + ,69 + ,25 + ,93 + ,84 + ,655 + ,74 + ,0 + ,78 + ,38 + ,140 + ,88 + ,465 + ,49 + ,7 + ,86 + ,44 + ,166 + ,55 + ,525 + ,52 + ,7 + ,44 + ,30 + ,99 + ,60 + ,885 + ,88 + ,3 + ,104 + ,40 + ,139 + ,66 + ,497 + ,36 + ,9 + ,63 + ,34 + ,130 + ,154 + ,1436 + ,108 + ,0 + ,158 + ,47 + ,181 + ,53 + ,612 + ,43 + ,4 + ,102 + ,30 + ,116 + ,119 + ,865 + ,75 + ,3 + ,77 + ,31 + ,116 + ,41 + ,385 + ,32 + ,0 + ,82 + ,23 + ,88 + ,61 + ,567 + ,44 + ,7 + ,115 + ,36 + ,139 + ,58 + ,639 + ,85 + ,0 + ,101 + ,36 + ,135 + ,75 + ,963 + ,86 + ,1 + ,80 + ,30 + ,108 + ,33 + ,398 + ,56 + ,5 + ,50 + ,25 + ,89 + ,40 + ,410 + ,50 + ,7 + ,83 + ,39 + ,156 + ,92 + ,966 + ,135 + ,0 + ,123 + ,34 + ,129 + ,100 + ,801 + ,63 + ,0 + ,73 + ,31 + ,118 + ,112 + ,892 + ,81 + ,5 + ,81 + ,31 + ,118 + ,73 + ,513 + ,52 + ,0 + ,105 + ,33 + ,125 + ,40 + ,469 + ,44 + ,0 + ,47 + ,25 + ,95 + ,45 + ,683 + ,113 + ,0 + ,105 + ,33 + ,126 + ,60 + ,643 + ,39 + ,3 + ,94 + ,35 + ,135 + ,62 + ,535 + ,73 + ,4 + ,44 + ,42 + ,154 + ,75 + ,625 + ,48 + ,1 + ,114 + ,43 + ,165 + ,31 + ,264 + ,33 + ,4 + ,38 + ,30 + ,113 + ,77 + ,992 + ,59 + ,2 + ,107 + ,33 + ,127 + ,34 + ,238 + ,41 + ,0 + ,30 + ,13 + ,52 + ,46 + ,818 + ,69 + ,0 + ,71 + ,32 + ,121 + ,99 + ,937 + ,64 + ,0 + ,84 + ,36 + ,136 + ,17 + ,70 + ,1 + ,0 + ,0 + ,0 + ,0 + ,66 + ,507 + ,59 + ,2 + ,59 + ,28 + ,108 + ,30 + ,260 + ,32 + ,1 + ,33 + ,14 + ,46 + ,76 + ,503 + ,129 + ,0 + ,42 + ,17 + ,54 + ,146 + ,927 + ,37 + ,2 + ,96 + ,32 + ,124 + ,67 + ,1269 + ,31 + ,10 + ,106 + ,30 + ,115 + ,56 + ,537 + ,65 + ,6 + ,56 + ,35 + ,128 + ,107 + ,910 + ,107 + ,0 + ,57 + ,20 + ,80 + ,58 + ,532 + ,74 + ,5 + ,59 + ,28 + ,97 + ,34 + ,345 + ,54 + ,4 + ,39 + ,28 + ,104 + ,61 + ,918 + ,76 + ,1 + ,34 + ,39 + ,59 + ,119 + ,1635 + ,715 + ,2 + ,76 + ,34 + ,125 + ,42 + ,330 + ,57 + ,2 + ,20 + ,26 + ,82 + ,66 + ,557 + ,66 + ,0 + ,91 + ,39 + ,149 + ,89 + ,1178 + ,106 + ,8 + ,115 + ,39 + ,149 + ,44 + ,740 + ,54 + ,3 + ,85 + ,33 + ,122 + ,66 + ,452 + ,32 + ,0 + ,76 + ,28 + ,118 + ,24 + ,218 + ,20 + ,0 + ,8 + ,4 + ,12 + ,259 + ,764 + ,71 + ,8 + ,79 + ,39 + ,144 + ,17 + ,255 + ,21 + ,5 + ,21 + ,18 + ,67 + ,64 + ,454 + ,70 + ,3 + ,30 + ,14 + ,52 + ,41 + ,866 + ,112 + ,1 + ,76 + ,29 + ,108 + ,68 + ,574 + ,66 + ,5 + ,101 + ,44 + ,166 + ,168 + ,1276 + ,190 + ,1 + ,94 + ,21 + ,80 + ,43 + ,379 + ,66 + ,1 + ,27 + ,16 + ,60 + ,132 + ,825 + ,165 + ,5 + ,92 + ,28 + ,107 + ,105 + ,798 + ,56 + ,0 + ,123 + ,35 + ,127 + ,71 + ,663 + ,61 + ,12 + ,75 + ,28 + ,107 + ,112 + ,1069 + ,53 + ,8 + ,128 + ,38 + ,146 + ,94 + ,921 + ,127 + ,8 + ,105 + ,23 + ,84 + ,82 + ,858 + ,63 + ,8 + ,55 + ,36 + ,141 + ,70 + ,711 + ,38 + ,8 + ,56 + ,32 + ,123 + ,57 + ,503 + ,50 + ,2 + ,41 + ,29 + ,111 + ,53 + ,382 + ,52 + ,0 + ,72 + ,25 + ,98 + ,103 + ,464 + ,42 + ,5 + ,67 + ,27 + ,105 + ,121 + ,717 + ,76 + ,8 + ,75 + ,36 + ,135 + ,62 + ,690 + ,67 + ,2 + ,114 + ,28 + ,107 + ,52 + ,462 + ,50 + ,5 + ,118 + ,23 + ,85 + ,52 + ,657 + ,53 + ,12 + ,77 + ,40 + ,155 + ,32 + ,385 + ,39 + ,6 + ,22 + ,23 + ,88 + ,62 + ,577 + ,50 + ,7 + ,66 + ,40 + ,155 + ,45 + ,619 + ,77 + ,2 + ,69 + ,28 + ,104 + ,46 + ,479 + ,57 + ,0 + ,105 + ,34 + ,132 + ,63 + ,817 + ,73 + ,4 + ,116 + ,33 + ,127 + ,75 + ,752 + ,34 + ,3 + ,88 + ,28 + ,108 + ,88 + ,430 + ,39 + ,6 + ,73 + ,34 + ,129 + ,46 + ,451 + ,46 + ,2 + ,99 + ,30 + ,116 + ,53 + ,537 + ,63 + ,0 + ,62 + ,33 + ,122 + ,37 + ,519 + ,35 + ,1 + ,53 + ,22 + ,85 + ,90 + ,1000 + ,106 + ,0 + ,118 + ,38 + ,147 + ,63 + ,637 + ,43 + ,5 + ,30 + ,26 + ,99 + ,78 + ,465 + ,47 + ,2 + ,100 + ,35 + ,87 + ,25 + ,437 + ,31 + ,0 + ,49 + ,8 + ,28 + ,45 + ,711 + ,162 + ,0 + ,24 + ,24 + ,90 + ,46 + ,299 + ,57 + ,5 + ,67 + ,29 + ,109 + ,41 + ,248 + ,36 + ,0 + ,46 + ,20 + ,78 + ,144 + ,1162 + ,263 + ,1 + ,57 + ,29 + ,111 + ,82 + ,714 + ,78 + ,0 + ,75 + ,45 + ,158 + ,91 + ,905 + ,63 + ,1 + ,135 + ,37 + ,141 + ,71 + ,649 + ,54 + ,1 + ,68 + ,33 + ,122 + ,63 + ,512 + ,63 + ,2 + ,124 + ,33 + ,124 + ,53 + ,472 + ,77 + ,6 + ,33 + ,25 + ,93 + ,62 + ,905 + ,79 + ,1 + ,98 + ,32 + ,124 + ,63 + ,786 + ,110 + ,4 + ,58 + ,29 + ,112 + ,32 + ,489 + ,56 + ,2 + ,68 + ,28 + ,108 + ,39 + ,479 + ,56 + ,3 + ,81 + ,28 + ,99 + ,62 + ,617 + ,43 + ,0 + ,131 + ,31 + ,117 + ,117 + ,925 + ,111 + ,10 + ,110 + ,52 + ,199 + ,34 + ,351 + ,71 + ,0 + ,37 + ,21 + ,78 + ,92 + ,1144 + ,62 + ,9 + ,130 + ,24 + ,91 + ,93 + ,669 + ,56 + ,7 + ,93 + ,41 + ,158 + ,54 + ,707 + ,74 + ,0 + ,118 + ,33 + ,126 + ,144 + ,458 + ,60 + ,0 + ,39 + ,32 + ,122 + ,14 + ,214 + ,43 + ,4 + ,13 + ,19 + ,71 + ,61 + ,599 + ,68 + ,4 + ,74 + ,20 + ,75 + ,109 + ,572 + ,53 + ,0 + ,81 + ,31 + ,115 + ,38 + ,897 + ,87 + ,0 + ,109 + ,31 + ,119 + ,73 + ,819 + ,46 + ,0 + ,151 + ,32 + ,124 + ,75 + ,720 + ,105 + ,1 + ,51 + ,18 + ,72 + ,50 + ,273 + ,32 + ,0 + ,28 + ,23 + ,91 + ,61 + ,508 + ,133 + ,1 + ,40 + ,17 + ,45 + ,55 + ,506 + ,79 + ,0 + ,56 + ,20 + ,78 + ,77 + ,451 + ,51 + ,0 + ,27 + ,12 + ,39 + ,75 + ,699 + ,207 + ,4 + ,37 + ,17 + ,68 + ,72 + ,407 + ,67 + ,0 + ,83 + ,30 + ,119 + ,50 + ,465 + ,47 + ,4 + ,54 + ,31 + ,117 + ,32 + ,245 + ,34 + ,4 + ,27 + ,10 + ,39 + ,53 + ,370 + ,66 + ,3 + ,28 + ,13 + ,50 + ,42 + ,316 + ,76 + ,0 + ,59 + ,22 + ,88 + ,71 + ,603 + ,65 + ,0 + ,133 + ,42 + ,155 + ,10 + ,154 + ,9 + ,0 + ,12 + ,1 + ,0 + ,35 + ,229 + ,42 + ,5 + ,0 + ,9 + ,36 + ,65 + ,577 + ,45 + ,0 + ,106 + ,32 + ,123 + ,25 + ,192 + ,25 + ,4 + ,23 + ,11 + ,32 + ,66 + ,617 + ,115 + ,0 + ,44 + ,25 + ,99 + ,41 + ,411 + ,97 + ,0 + ,71 + ,36 + ,136 + ,86 + ,975 + ,53 + ,1 + ,116 + ,31 + ,117 + ,16 + ,146 + ,2 + ,0 + ,4 + ,0 + ,0 + ,42 + ,705 + ,52 + ,5 + ,62 + ,24 + ,88 + ,19 + ,184 + ,44 + ,0 + ,12 + ,13 + ,39 + ,19 + ,200 + ,22 + ,0 + ,18 + ,8 + ,25 + ,45 + ,274 + ,35 + ,0 + ,14 + ,13 + ,52 + ,65 + ,502 + ,74 + ,0 + ,60 + ,19 + ,75 + ,35 + ,382 + ,103 + ,0 + ,7 + ,18 + ,71 + ,95 + ,964 + ,144 + ,2 + ,98 + ,33 + ,124 + ,49 + ,537 + ,60 + ,7 + ,64 + ,40 + ,151 + ,37 + ,438 + ,134 + ,1 + ,29 + ,22 + ,71 + ,64 + ,369 + ,89 + ,8 + ,32 + ,38 + ,145 + ,38 + ,417 + ,42 + ,2 + ,25 + ,24 + ,87 + ,34 + ,276 + ,52 + ,0 + ,16 + ,8 + ,27 + ,32 + ,514 + ,98 + ,2 + ,48 + ,35 + ,131 + ,65 + ,822 + ,99 + ,0 + ,100 + ,43 + ,162 + ,52 + ,389 + ,52 + ,0 + ,46 + ,43 + ,165 + ,62 + ,466 + ,29 + ,1 + ,45 + ,14 + ,54 + ,65 + ,1255 + ,125 + ,3 + ,129 + ,41 + ,159 + ,83 + ,694 + ,106 + ,0 + ,130 + ,38 + ,147 + ,95 + ,1024 + ,95 + ,3 + ,136 + ,45 + ,170 + ,29 + ,400 + ,40 + ,0 + ,59 + ,31 + ,119 + ,18 + ,397 + ,140 + ,0 + ,25 + ,13 + ,49 + ,33 + ,350 + ,43 + ,0 + ,32 + ,28 + ,104 + ,247 + ,719 + ,128 + ,4 + ,63 + ,31 + ,120 + ,139 + ,1277 + ,142 + ,4 + ,95 + ,40 + ,150 + ,29 + ,356 + ,73 + ,11 + ,14 + ,30 + ,112 + ,118 + ,457 + ,72 + ,0 + ,36 + ,16 + ,59 + ,110 + ,1402 + ,128 + ,0 + ,113 + ,37 + ,136 + ,67 + ,600 + ,61 + ,4 + ,47 + ,30 + ,107 + ,42 + ,480 + ,73 + ,0 + ,92 + ,35 + ,130 + ,65 + ,595 + ,148 + ,1 + ,70 + ,32 + ,115 + ,94 + ,436 + ,64 + ,0 + ,19 + ,27 + ,107 + ,64 + ,230 + ,45 + ,0 + ,50 + ,20 + ,75 + ,81 + ,651 + ,58 + ,0 + ,41 + ,18 + ,71 + ,95 + ,1367 + ,97 + ,9 + ,91 + ,31 + ,120 + ,67 + ,564 + ,50 + ,1 + ,111 + ,31 + ,116 + ,63 + ,716 + ,37 + ,3 + ,41 + ,21 + ,79 + ,83 + ,747 + ,50 + ,10 + ,120 + ,39 + ,150 + ,45 + ,467 + ,105 + ,5 + ,135 + ,41 + ,156 + ,30 + ,671 + ,69 + ,0 + ,27 + ,13 + ,51 + ,70 + ,861 + ,46 + ,2 + ,87 + ,32 + ,118 + ,32 + ,319 + ,57 + ,0 + ,25 + ,18 + ,71 + ,83 + ,612 + ,52 + ,1 + ,131 + ,39 + ,144 + ,31 + ,433 + ,98 + ,2 + ,45 + ,14 + ,47 + ,67 + ,434 + ,61 + ,4 + ,29 + ,7 + ,28 + ,66 + ,503 + ,89 + ,0 + ,58 + ,17 + ,68 + ,10 + ,85 + ,0 + ,0 + ,4 + ,0 + ,0 + ,70 + ,564 + ,48 + ,2 + ,47 + ,30 + ,110 + ,103 + ,824 + ,91 + ,1 + ,109 + ,37 + ,147 + ,5 + ,74 + ,0 + ,0 + ,7 + ,0 + ,0 + ,20 + ,259 + ,7 + ,0 + ,12 + ,5 + ,15 + ,5 + ,69 + ,3 + ,0 + ,0 + ,1 + ,4 + ,36 + ,535 + ,54 + ,1 + ,37 + ,16 + ,64 + ,34 + ,239 + ,70 + ,0 + ,37 + ,32 + ,111 + ,48 + ,438 + ,36 + ,2 + ,46 + ,24 + ,85 + ,40 + ,459 + ,37 + ,0 + ,15 + ,17 + ,68 + ,43 + ,426 + ,123 + ,3 + ,42 + ,11 + ,40 + ,31 + ,288 + ,247 + ,6 + ,7 + ,24 + ,80 + ,42 + ,498 + ,46 + ,0 + ,54 + ,22 + ,88 + ,46 + ,454 + ,72 + ,2 + ,54 + ,12 + ,48 + ,33 + ,376 + ,41 + ,0 + ,14 + ,19 + ,76 + ,18 + ,225 + ,24 + ,2 + ,16 + ,13 + ,51 + ,55 + ,555 + ,45 + ,1 + ,33 + ,17 + ,67 + ,35 + ,252 + ,33 + ,1 + ,32 + ,15 + ,59 + ,59 + ,208 + ,27 + ,2 + ,21 + ,16 + ,61 + ,19 + ,130 + ,36 + ,1 + ,15 + ,24 + ,76 + ,66 + ,481 + ,87 + ,0 + ,38 + ,15 + ,60 + ,60 + ,389 + ,90 + ,1 + ,22 + ,17 + ,68 + ,36 + ,565 + ,114 + ,3 + ,28 + ,18 + ,71 + ,25 + ,173 + ,31 + ,0 + ,10 + ,20 + ,76 + ,47 + ,278 + ,45 + ,0 + ,31 + ,16 + ,62 + ,54 + ,609 + ,69 + ,0 + ,32 + ,16 + ,61 + ,53 + ,422 + ,51 + ,0 + ,32 + ,18 + ,67 + ,40 + ,445 + ,34 + ,1 + ,43 + ,22 + ,88 + ,40 + ,387 + ,60 + ,4 + ,27 + ,8 + ,30 + ,39 + ,339 + ,45 + ,0 + ,37 + ,17 + ,64 + ,14 + ,181 + ,54 + ,0 + ,20 + ,18 + ,68 + ,45 + ,245 + ,25 + ,0 + ,32 + ,16 + ,64 + ,36 + ,384 + ,38 + ,7 + ,0 + ,23 + ,91 + ,28 + ,212 + ,52 + ,2 + ,5 + ,22 + ,88 + ,44 + ,399 + ,67 + ,0 + ,26 + ,13 + ,52 + ,30 + ,229 + ,74 + ,7 + ,10 + ,13 + ,49 + ,22 + ,224 + ,38 + ,3 + ,27 + ,16 + ,62 + ,17 + ,203 + ,30 + ,0 + ,11 + ,16 + ,61 + ,31 + ,333 + ,26 + ,0 + ,29 + ,20 + ,76 + ,55 + ,384 + ,67 + ,6 + ,25 + ,22 + ,88 + ,54 + ,636 + ,132 + ,2 + ,55 + ,17 + ,66 + ,21 + ,185 + ,42 + ,0 + ,23 + ,18 + ,71 + ,14 + ,93 + ,35 + ,0 + ,5 + ,17 + ,68 + ,81 + ,581 + ,118 + ,3 + ,43 + ,12 + ,48 + ,35 + ,248 + ,68 + ,0 + ,23 + ,7 + ,25 + ,43 + ,304 + ,43 + ,1 + ,34 + ,17 + ,68 + ,46 + ,344 + ,76 + ,1 + ,36 + ,14 + ,41 + ,30 + ,407 + ,64 + ,0 + ,35 + ,23 + ,90 + ,23 + ,170 + ,48 + ,1 + ,0 + ,17 + ,66 + ,38 + ,312 + ,64 + ,0 + ,37 + ,14 + ,54 + ,54 + ,507 + ,56 + ,0 + ,28 + ,15 + ,59 + ,20 + ,224 + ,71 + ,0 + ,16 + ,17 + ,60 + ,53 + ,340 + ,75 + ,0 + ,26 + ,21 + ,77 + ,45 + ,168 + ,39 + ,0 + ,38 + ,18 + ,68 + ,39 + ,443 + ,42 + ,0 + ,23 + ,18 + ,72 + ,20 + ,204 + ,39 + ,0 + ,22 + ,17 + ,67 + ,24 + ,367 + ,93 + ,0 + ,30 + ,17 + ,64 + ,31 + ,210 + ,38 + ,0 + ,16 + ,16 + ,63 + ,35 + ,335 + ,60 + ,0 + ,18 + ,15 + ,59 + ,151 + ,364 + ,71 + ,0 + ,28 + ,21 + ,84 + ,52 + ,178 + ,52 + ,0 + ,32 + ,16 + ,64 + ,30 + ,206 + ,27 + ,2 + ,21 + ,14 + ,56 + ,31 + ,279 + ,59 + ,0 + ,23 + ,15 + ,54 + ,29 + ,387 + ,40 + ,1 + ,29 + ,17 + ,67 + ,57 + ,490 + ,79 + ,1 + ,50 + ,15 + ,58 + ,40 + ,238 + ,44 + ,0 + ,12 + ,15 + ,59 + ,44 + ,343 + ,65 + ,0 + ,21 + ,10 + ,40 + ,25 + ,232 + ,10 + ,0 + ,18 + ,6 + ,22 + ,77 + ,530 + ,124 + ,0 + ,27 + ,22 + ,83 + ,35 + ,291 + ,81 + ,0 + ,41 + ,21 + ,81 + ,11 + ,67 + ,15 + ,0 + ,13 + ,1 + ,2 + ,63 + ,397 + ,92 + ,1 + ,12 + ,18 + ,72 + ,44 + ,467 + ,42 + ,0 + ,21 + ,17 + ,61 + ,19 + ,178 + ,10 + ,0 + ,8 + ,4 + ,15 + ,13 + ,175 + ,24 + ,0 + ,26 + ,10 + ,32 + ,42 + ,299 + ,64 + ,0 + ,27 + ,16 + ,62 + ,38 + ,154 + ,45 + ,1 + ,13 + ,16 + ,58 + ,29 + ,106 + ,22 + ,0 + ,16 + ,9 + ,36 + ,20 + ,189 + ,56 + ,0 + ,2 + ,16 + ,59 + ,27 + ,194 + ,94 + ,0 + ,42 + ,17 + ,68 + ,20 + ,135 + ,19 + ,0 + ,5 + ,7 + ,21 + ,19 + ,201 + ,35 + ,0 + ,37 + ,15 + ,55 + ,37 + ,207 + ,32 + ,0 + ,17 + ,14 + ,54 + ,26 + ,280 + ,35 + ,0 + ,38 + ,14 + ,55 + ,42 + ,260 + ,48 + ,0 + ,37 + ,18 + ,72 + ,49 + ,227 + ,49 + ,0 + ,29 + ,12 + ,41 + ,30 + ,239 + ,48 + ,0 + ,32 + ,16 + ,61 + ,49 + ,333 + ,62 + ,0 + ,35 + ,21 + ,67 + ,67 + ,428 + ,96 + ,1 + ,17 + ,19 + ,76 + ,28 + ,230 + ,45 + ,0 + ,20 + ,16 + ,64 + ,19 + ,292 + ,63 + ,0 + ,7 + ,1 + ,3 + ,49 + ,350 + ,71 + ,1 + ,46 + ,16 + ,63 + ,27 + ,186 + ,26 + ,0 + ,24 + ,10 + ,40 + ,30 + ,326 + ,48 + ,6 + ,40 + ,19 + ,69 + ,22 + ,155 + ,29 + ,3 + ,3 + ,12 + ,48 + ,12 + ,75 + ,19 + ,1 + ,10 + ,2 + ,8 + ,31 + ,361 + ,45 + ,2 + ,37 + ,14 + ,52 + ,20 + ,261 + ,45 + ,0 + ,17 + ,17 + ,66 + ,20 + ,299 + ,67 + ,0 + ,28 + ,19 + ,76 + ,39 + ,300 + ,30 + ,0 + ,19 + ,14 + ,43 + ,29 + ,450 + ,36 + ,3 + ,29 + ,11 + ,39 + ,16 + ,183 + ,34 + ,1 + ,8 + ,4 + ,14 + ,27 + ,238 + ,36 + ,0 + ,10 + ,16 + ,61 + ,21 + ,165 + ,34 + ,0 + ,15 + ,20 + ,71 + ,19 + ,234 + ,37 + ,1 + ,15 + ,12 + ,44 + ,35 + ,176 + ,46 + ,0 + ,28 + ,15 + ,60 + ,14 + ,329 + ,44 + ,0 + ,17 + ,16 + ,64) + ,dim=c(7 + ,289) + ,dimnames=list(c('logins' + ,'compendium_views_info' + ,'compendium_views_pr' + ,'shared_compendiums' + ,'blogged_computations' + ,'compendiums_reviewed' + ,'feedback_messages_p1') + ,1:289)) > y <- array(NA,dim=c(7,289),dimnames=list(c('logins','compendium_views_info','compendium_views_pr','shared_compendiums','blogged_computations','compendiums_reviewed','feedback_messages_p1'),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 = '5' > 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 blogged_computations logins compendium_views_info compendium_views_pr 1 79 56 396 81 2 58 56 297 55 3 60 54 559 50 4 108 89 967 125 5 49 40 270 40 6 0 25 143 37 7 121 92 1562 63 8 1 18 109 44 9 20 63 371 88 10 43 44 656 66 11 69 33 511 57 12 78 84 655 74 13 86 88 465 49 14 44 55 525 52 15 104 60 885 88 16 63 66 497 36 17 158 154 1436 108 18 102 53 612 43 19 77 119 865 75 20 82 41 385 32 21 115 61 567 44 22 101 58 639 85 23 80 75 963 86 24 50 33 398 56 25 83 40 410 50 26 123 92 966 135 27 73 100 801 63 28 81 112 892 81 29 105 73 513 52 30 47 40 469 44 31 105 45 683 113 32 94 60 643 39 33 44 62 535 73 34 114 75 625 48 35 38 31 264 33 36 107 77 992 59 37 30 34 238 41 38 71 46 818 69 39 84 99 937 64 40 0 17 70 1 41 59 66 507 59 42 33 30 260 32 43 42 76 503 129 44 96 146 927 37 45 106 67 1269 31 46 56 56 537 65 47 57 107 910 107 48 59 58 532 74 49 39 34 345 54 50 34 61 918 76 51 76 119 1635 715 52 20 42 330 57 53 91 66 557 66 54 115 89 1178 106 55 85 44 740 54 56 76 66 452 32 57 8 24 218 20 58 79 259 764 71 59 21 17 255 21 60 30 64 454 70 61 76 41 866 112 62 101 68 574 66 63 94 168 1276 190 64 27 43 379 66 65 92 132 825 165 66 123 105 798 56 67 75 71 663 61 68 128 112 1069 53 69 105 94 921 127 70 55 82 858 63 71 56 70 711 38 72 41 57 503 50 73 72 53 382 52 74 67 103 464 42 75 75 121 717 76 76 114 62 690 67 77 118 52 462 50 78 77 52 657 53 79 22 32 385 39 80 66 62 577 50 81 69 45 619 77 82 105 46 479 57 83 116 63 817 73 84 88 75 752 34 85 73 88 430 39 86 99 46 451 46 87 62 53 537 63 88 53 37 519 35 89 118 90 1000 106 90 30 63 637 43 91 100 78 465 47 92 49 25 437 31 93 24 45 711 162 94 67 46 299 57 95 46 41 248 36 96 57 144 1162 263 97 75 82 714 78 98 135 91 905 63 99 68 71 649 54 100 124 63 512 63 101 33 53 472 77 102 98 62 905 79 103 58 63 786 110 104 68 32 489 56 105 81 39 479 56 106 131 62 617 43 107 110 117 925 111 108 37 34 351 71 109 130 92 1144 62 110 93 93 669 56 111 118 54 707 74 112 39 144 458 60 113 13 14 214 43 114 74 61 599 68 115 81 109 572 53 116 109 38 897 87 117 151 73 819 46 118 51 75 720 105 119 28 50 273 32 120 40 61 508 133 121 56 55 506 79 122 27 77 451 51 123 37 75 699 207 124 83 72 407 67 125 54 50 465 47 126 27 32 245 34 127 28 53 370 66 128 59 42 316 76 129 133 71 603 65 130 12 10 154 9 131 0 35 229 42 132 106 65 577 45 133 23 25 192 25 134 44 66 617 115 135 71 41 411 97 136 116 86 975 53 137 4 16 146 2 138 62 42 705 52 139 12 19 184 44 140 18 19 200 22 141 14 45 274 35 142 60 65 502 74 143 7 35 382 103 144 98 95 964 144 145 64 49 537 60 146 29 37 438 134 147 32 64 369 89 148 25 38 417 42 149 16 34 276 52 150 48 32 514 98 151 100 65 822 99 152 46 52 389 52 153 45 62 466 29 154 129 65 1255 125 155 130 83 694 106 156 136 95 1024 95 157 59 29 400 40 158 25 18 397 140 159 32 33 350 43 160 63 247 719 128 161 95 139 1277 142 162 14 29 356 73 163 36 118 457 72 164 113 110 1402 128 165 47 67 600 61 166 92 42 480 73 167 70 65 595 148 168 19 94 436 64 169 50 64 230 45 170 41 81 651 58 171 91 95 1367 97 172 111 67 564 50 173 41 63 716 37 174 120 83 747 50 175 135 45 467 105 176 27 30 671 69 177 87 70 861 46 178 25 32 319 57 179 131 83 612 52 180 45 31 433 98 181 29 67 434 61 182 58 66 503 89 183 4 10 85 0 184 47 70 564 48 185 109 103 824 91 186 7 5 74 0 187 12 20 259 7 188 0 5 69 3 189 37 36 535 54 190 37 34 239 70 191 46 48 438 36 192 15 40 459 37 193 42 43 426 123 194 7 31 288 247 195 54 42 498 46 196 54 46 454 72 197 14 33 376 41 198 16 18 225 24 199 33 55 555 45 200 32 35 252 33 201 21 59 208 27 202 15 19 130 36 203 38 66 481 87 204 22 60 389 90 205 28 36 565 114 206 10 25 173 31 207 31 47 278 45 208 32 54 609 69 209 32 53 422 51 210 43 40 445 34 211 27 40 387 60 212 37 39 339 45 213 20 14 181 54 214 32 45 245 25 215 0 36 384 38 216 5 28 212 52 217 26 44 399 67 218 10 30 229 74 219 27 22 224 38 220 11 17 203 30 221 29 31 333 26 222 25 55 384 67 223 55 54 636 132 224 23 21 185 42 225 5 14 93 35 226 43 81 581 118 227 23 35 248 68 228 34 43 304 43 229 36 46 344 76 230 35 30 407 64 231 0 23 170 48 232 37 38 312 64 233 28 54 507 56 234 16 20 224 71 235 26 53 340 75 236 38 45 168 39 237 23 39 443 42 238 22 20 204 39 239 30 24 367 93 240 16 31 210 38 241 18 35 335 60 242 28 151 364 71 243 32 52 178 52 244 21 30 206 27 245 23 31 279 59 246 29 29 387 40 247 50 57 490 79 248 12 40 238 44 249 21 44 343 65 250 18 25 232 10 251 27 77 530 124 252 41 35 291 81 253 13 11 67 15 254 12 63 397 92 255 21 44 467 42 256 8 19 178 10 257 26 13 175 24 258 27 42 299 64 259 13 38 154 45 260 16 29 106 22 261 2 20 189 56 262 42 27 194 94 263 5 20 135 19 264 37 19 201 35 265 17 37 207 32 266 38 26 280 35 267 37 42 260 48 268 29 49 227 49 269 32 30 239 48 270 35 49 333 62 271 17 67 428 96 272 20 28 230 45 273 7 19 292 63 274 46 49 350 71 275 24 27 186 26 276 40 30 326 48 277 3 22 155 29 278 10 12 75 19 279 37 31 361 45 280 17 20 261 45 281 28 20 299 67 282 19 39 300 30 283 29 29 450 36 284 8 16 183 34 285 10 27 238 36 286 15 21 165 34 287 15 19 234 37 288 28 35 176 46 289 17 14 329 44 shared_compendiums compendiums_reviewed feedback_messages_p1 1 3 30 115 2 4 28 109 3 12 38 146 4 2 30 116 5 1 22 68 6 3 26 101 7 0 25 96 8 0 18 67 9 0 11 44 10 5 26 100 11 0 25 93 12 0 38 140 13 7 44 166 14 7 30 99 15 3 40 139 16 9 34 130 17 0 47 181 18 4 30 116 19 3 31 116 20 0 23 88 21 7 36 139 22 0 36 135 23 1 30 108 24 5 25 89 25 7 39 156 26 0 34 129 27 0 31 118 28 5 31 118 29 0 33 125 30 0 25 95 31 0 33 126 32 3 35 135 33 4 42 154 34 1 43 165 35 4 30 113 36 2 33 127 37 0 13 52 38 0 32 121 39 0 36 136 40 0 0 0 41 2 28 108 42 1 14 46 43 0 17 54 44 2 32 124 45 10 30 115 46 6 35 128 47 0 20 80 48 5 28 97 49 4 28 104 50 1 39 59 51 2 34 125 52 2 26 82 53 0 39 149 54 8 39 149 55 3 33 122 56 0 28 118 57 0 4 12 58 8 39 144 59 5 18 67 60 3 14 52 61 1 29 108 62 5 44 166 63 1 21 80 64 1 16 60 65 5 28 107 66 0 35 127 67 12 28 107 68 8 38 146 69 8 23 84 70 8 36 141 71 8 32 123 72 2 29 111 73 0 25 98 74 5 27 105 75 8 36 135 76 2 28 107 77 5 23 85 78 12 40 155 79 6 23 88 80 7 40 155 81 2 28 104 82 0 34 132 83 4 33 127 84 3 28 108 85 6 34 129 86 2 30 116 87 0 33 122 88 1 22 85 89 0 38 147 90 5 26 99 91 2 35 87 92 0 8 28 93 0 24 90 94 5 29 109 95 0 20 78 96 1 29 111 97 0 45 158 98 1 37 141 99 1 33 122 100 2 33 124 101 6 25 93 102 1 32 124 103 4 29 112 104 2 28 108 105 3 28 99 106 0 31 117 107 10 52 199 108 0 21 78 109 9 24 91 110 7 41 158 111 0 33 126 112 0 32 122 113 4 19 71 114 4 20 75 115 0 31 115 116 0 31 119 117 0 32 124 118 1 18 72 119 0 23 91 120 1 17 45 121 0 20 78 122 0 12 39 123 4 17 68 124 0 30 119 125 4 31 117 126 4 10 39 127 3 13 50 128 0 22 88 129 0 42 155 130 0 1 0 131 5 9 36 132 0 32 123 133 4 11 32 134 0 25 99 135 0 36 136 136 1 31 117 137 0 0 0 138 5 24 88 139 0 13 39 140 0 8 25 141 0 13 52 142 0 19 75 143 0 18 71 144 2 33 124 145 7 40 151 146 1 22 71 147 8 38 145 148 2 24 87 149 0 8 27 150 2 35 131 151 0 43 162 152 0 43 165 153 1 14 54 154 3 41 159 155 0 38 147 156 3 45 170 157 0 31 119 158 0 13 49 159 0 28 104 160 4 31 120 161 4 40 150 162 11 30 112 163 0 16 59 164 0 37 136 165 4 30 107 166 0 35 130 167 1 32 115 168 0 27 107 169 0 20 75 170 0 18 71 171 9 31 120 172 1 31 116 173 3 21 79 174 10 39 150 175 5 41 156 176 0 13 51 177 2 32 118 178 0 18 71 179 1 39 144 180 2 14 47 181 4 7 28 182 0 17 68 183 0 0 0 184 2 30 110 185 1 37 147 186 0 0 0 187 0 5 15 188 0 1 4 189 1 16 64 190 0 32 111 191 2 24 85 192 0 17 68 193 3 11 40 194 6 24 80 195 0 22 88 196 2 12 48 197 0 19 76 198 2 13 51 199 1 17 67 200 1 15 59 201 2 16 61 202 1 24 76 203 0 15 60 204 1 17 68 205 3 18 71 206 0 20 76 207 0 16 62 208 0 16 61 209 0 18 67 210 1 22 88 211 4 8 30 212 0 17 64 213 0 18 68 214 0 16 64 215 7 23 91 216 2 22 88 217 0 13 52 218 7 13 49 219 3 16 62 220 0 16 61 221 0 20 76 222 6 22 88 223 2 17 66 224 0 18 71 225 0 17 68 226 3 12 48 227 0 7 25 228 1 17 68 229 1 14 41 230 0 23 90 231 1 17 66 232 0 14 54 233 0 15 59 234 0 17 60 235 0 21 77 236 0 18 68 237 0 18 72 238 0 17 67 239 0 17 64 240 0 16 63 241 0 15 59 242 0 21 84 243 0 16 64 244 2 14 56 245 0 15 54 246 1 17 67 247 1 15 58 248 0 15 59 249 0 10 40 250 0 6 22 251 0 22 83 252 0 21 81 253 0 1 2 254 1 18 72 255 0 17 61 256 0 4 15 257 0 10 32 258 0 16 62 259 1 16 58 260 0 9 36 261 0 16 59 262 0 17 68 263 0 7 21 264 0 15 55 265 0 14 54 266 0 14 55 267 0 18 72 268 0 12 41 269 0 16 61 270 0 21 67 271 1 19 76 272 0 16 64 273 0 1 3 274 1 16 63 275 0 10 40 276 6 19 69 277 3 12 48 278 1 2 8 279 2 14 52 280 0 17 66 281 0 19 76 282 0 14 43 283 3 11 39 284 1 4 14 285 0 16 61 286 0 20 71 287 1 12 44 288 0 15 60 289 0 16 64 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) logins compendium_views_info -12.483970 0.002046 0.070739 compendium_views_pr shared_compendiums compendiums_reviewed -0.125866 -1.416972 0.115793 feedback_messages_p1 0.433976 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -42.207 -12.657 -0.672 11.101 71.523 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -12.483970 2.864708 -4.358 1.84e-05 *** logins 0.002046 0.047409 0.043 0.96560 compendium_views_info 0.070739 0.006553 10.795 < 2e-16 *** compendium_views_pr -0.125866 0.025419 -4.952 1.27e-06 *** shared_compendiums -1.416972 0.451903 -3.136 0.00190 ** compendiums_reviewed 0.115793 0.603540 0.192 0.84799 feedback_messages_p1 0.433976 0.158925 2.731 0.00672 ** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 19.19 on 282 degrees of freedom Multiple R-squared: 0.7353, Adjusted R-squared: 0.7297 F-statistic: 130.6 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,] 0.27139127 5.427825e-01 7.286087e-01 [2,] 0.33930468 6.786094e-01 6.606953e-01 [3,] 0.68618185 6.276363e-01 3.138182e-01 [4,] 0.57667108 8.466578e-01 4.233289e-01 [5,] 0.57363133 8.527373e-01 4.263687e-01 [6,] 0.47367838 9.473568e-01 5.263216e-01 [7,] 0.39126618 7.825324e-01 6.087338e-01 [8,] 0.34089107 6.817821e-01 6.591089e-01 [9,] 0.62047837 7.590433e-01 3.795216e-01 [10,] 0.57043941 8.591212e-01 4.295606e-01 [11,] 0.70464711 5.907058e-01 2.953529e-01 [12,] 0.84092819 3.181436e-01 1.590718e-01 [13,] 0.79902717 4.019457e-01 2.009728e-01 [14,] 0.76811489 4.637702e-01 2.318851e-01 [15,] 0.71951181 5.609764e-01 2.804882e-01 [16,] 0.65975705 6.804859e-01 3.402429e-01 [17,] 0.64347214 7.130557e-01 3.565279e-01 [18,] 0.63036468 7.392706e-01 3.696353e-01 [19,] 0.56845667 8.630867e-01 4.315433e-01 [20,] 0.60045357 7.990929e-01 3.995464e-01 [21,] 0.58054426 8.389115e-01 4.194557e-01 [22,] 0.53718381 9.256324e-01 4.628162e-01 [23,] 0.47922249 9.584450e-01 5.207775e-01 [24,] 0.73534843 5.293031e-01 2.646516e-01 [25,] 0.69214192 6.157162e-01 3.078581e-01 [26,] 0.66449374 6.710125e-01 3.355063e-01 [27,] 0.61216004 7.756799e-01 3.878400e-01 [28,] 0.56259723 8.748055e-01 4.374028e-01 [29,] 0.60091267 7.981747e-01 3.990873e-01 [30,] 0.62669929 7.466014e-01 3.733007e-01 [31,] 0.59322197 8.135561e-01 4.067780e-01 [32,] 0.54853469 9.029306e-01 4.514653e-01 [33,] 0.51960280 9.607944e-01 4.803972e-01 [34,] 0.47128855 9.425771e-01 5.287115e-01 [35,] 0.42217098 8.443420e-01 5.778290e-01 [36,] 0.37944230 7.588846e-01 6.205577e-01 [37,] 0.35188877 7.037775e-01 6.481112e-01 [38,] 0.36141771 7.228354e-01 6.385823e-01 [39,] 0.32105624 6.421125e-01 6.789438e-01 [40,] 0.29375938 5.875188e-01 7.062406e-01 [41,] 0.31582203 6.316441e-01 6.841780e-01 [42,] 0.29237207 5.847441e-01 7.076279e-01 [43,] 0.29234060 5.846812e-01 7.076594e-01 [44,] 0.25383923 5.076785e-01 7.461608e-01 [45,] 0.21974645 4.394929e-01 7.802536e-01 [46,] 0.18733004 3.746601e-01 8.126700e-01 [47,] 0.16028862 3.205772e-01 8.397114e-01 [48,] 0.13424536 2.684907e-01 8.657546e-01 [49,] 0.11384420 2.276884e-01 8.861558e-01 [50,] 0.09586755 1.917351e-01 9.041325e-01 [51,] 0.07811286 1.562257e-01 9.218871e-01 [52,] 0.06585394 1.317079e-01 9.341461e-01 [53,] 0.05628897 1.125779e-01 9.437110e-01 [54,] 0.04715576 9.431152e-02 9.528442e-01 [55,] 0.03856285 7.712569e-02 9.614372e-01 [56,] 0.04701589 9.403177e-02 9.529841e-01 [57,] 0.06282778 1.256556e-01 9.371722e-01 [58,] 0.06264866 1.252973e-01 9.373513e-01 [59,] 0.05993754 1.198751e-01 9.400625e-01 [60,] 0.12446525 2.489305e-01 8.755347e-01 [61,] 0.23025927 4.605185e-01 7.697407e-01 [62,] 0.24723184 4.944637e-01 7.527682e-01 [63,] 0.27717631 5.543526e-01 7.228237e-01 [64,] 0.27002004 5.400401e-01 7.299800e-01 [65,] 0.24373971 4.874794e-01 7.562603e-01 [66,] 0.21626793 4.325359e-01 7.837321e-01 [67,] 0.32203614 6.440723e-01 6.779639e-01 [68,] 0.77912480 4.417504e-01 2.208752e-01 [69,] 0.75190093 4.961981e-01 2.480991e-01 [70,] 0.76211480 4.757704e-01 2.378852e-01 [71,] 0.75899528 4.820094e-01 2.410047e-01 [72,] 0.72818974 5.436205e-01 2.718103e-01 [73,] 0.76204518 4.759096e-01 2.379548e-01 [74,] 0.78564871 4.287026e-01 2.143513e-01 [75,] 0.75852304 4.829539e-01 2.414770e-01 [76,] 0.73252735 5.349453e-01 2.674727e-01 [77,] 0.78606901 4.278620e-01 2.139310e-01 [78,] 0.77427345 4.514531e-01 2.257265e-01 [79,] 0.74984382 5.003124e-01 2.501562e-01 [80,] 0.72116777 5.576645e-01 2.788322e-01 [81,] 0.80063694 3.987261e-01 1.993631e-01 [82,] 0.89854233 2.029153e-01 1.014577e-01 [83,] 0.89701245 2.059751e-01 1.029875e-01 [84,] 0.93332996 1.333401e-01 6.667004e-02 [85,] 0.93400715 1.319857e-01 6.599285e-02 [86,] 0.92354063 1.529187e-01 7.645937e-02 [87,] 0.94183096 1.163381e-01 5.816904e-02 [88,] 0.95395995 9.208010e-02 4.604005e-02 [89,] 0.96130548 7.738905e-02 3.869452e-02 [90,] 0.95857004 8.285991e-02 4.142996e-02 [91,] 0.98848071 2.303858e-02 1.151929e-02 [92,] 0.98717250 2.565500e-02 1.282750e-02 [93,] 0.98393779 3.212441e-02 1.606221e-02 [94,] 0.98327674 3.344653e-02 1.672326e-02 [95,] 0.97960047 4.079906e-02 2.039953e-02 [96,] 0.98101134 3.797732e-02 1.898866e-02 [97,] 0.99467447 1.065105e-02 5.325527e-03 [98,] 0.99327876 1.344249e-02 6.721245e-03 [99,] 0.99168358 1.663285e-02 8.316423e-03 [100,] 0.99656800 6.864004e-03 3.432002e-03 [101,] 0.99567252 8.654960e-03 4.327480e-03 [102,] 0.99712446 5.751085e-03 2.875543e-03 [103,] 0.99815566 3.688684e-03 1.844342e-03 [104,] 0.99787319 4.253610e-03 2.126805e-03 [105,] 0.99808751 3.824973e-03 1.912486e-03 [106,] 0.99753878 4.922448e-03 2.461224e-03 [107,] 0.99723218 5.535631e-03 2.767815e-03 [108,] 0.99967226 6.554753e-04 3.277376e-04 [109,] 0.99957568 8.486465e-04 4.243233e-04 [110,] 0.99956062 8.787605e-04 4.393803e-04 [111,] 0.99943815 1.123695e-03 5.618475e-04 [112,] 0.99927291 1.454181e-03 7.270906e-04 [113,] 0.99907244 1.855110e-03 9.275550e-04 [114,] 0.99876753 2.464935e-03 1.232468e-03 [115,] 0.99887535 2.249294e-03 1.124647e-03 [116,] 0.99859975 2.800494e-03 1.400247e-03 [117,] 0.99839025 3.219493e-03 1.609747e-03 [118,] 0.99790758 4.184850e-03 2.092425e-03 [119,] 0.99791380 4.172397e-03 2.086199e-03 [120,] 0.99924114 1.517711e-03 7.588553e-04 [121,] 0.99907495 1.850107e-03 9.250534e-04 [122,] 0.99885368 2.292638e-03 1.146319e-03 [123,] 0.99926809 1.463826e-03 7.319131e-04 [124,] 0.99912628 1.747448e-03 8.737239e-04 [125,] 0.99913012 1.739750e-03 8.698752e-04 [126,] 0.99890059 2.198819e-03 1.099409e-03 [127,] 0.99888446 2.231082e-03 1.115541e-03 [128,] 0.99855036 2.899284e-03 1.449642e-03 [129,] 0.99811304 3.773924e-03 1.886962e-03 [130,] 0.99758748 4.825042e-03 2.412521e-03 [131,] 0.99691754 6.164914e-03 3.082457e-03 [132,] 0.99653378 6.932443e-03 3.466222e-03 [133,] 0.99605144 7.897128e-03 3.948564e-03 [134,] 0.99724321 5.513574e-03 2.756787e-03 [135,] 0.99658619 6.827614e-03 3.413807e-03 [136,] 0.99596478 8.070445e-03 4.035223e-03 [137,] 0.99516501 9.669985e-03 4.834992e-03 [138,] 0.99592994 8.140118e-03 4.070059e-03 [139,] 0.99656862 6.862768e-03 3.431384e-03 [140,] 0.99557484 8.850327e-03 4.425164e-03 [141,] 0.99581120 8.377610e-03 4.188805e-03 [142,] 0.99482714 1.034571e-02 5.172856e-03 [143,] 0.99734743 5.305131e-03 2.652565e-03 [144,] 0.99672167 6.556669e-03 3.278334e-03 [145,] 0.99602544 7.949117e-03 3.974558e-03 [146,] 0.99884727 2.305457e-03 1.152728e-03 [147,] 0.99903249 1.935017e-03 9.675083e-04 [148,] 0.99875699 2.486028e-03 1.243014e-03 [149,] 0.99835435 3.291290e-03 1.645645e-03 [150,] 0.99848415 3.031708e-03 1.515854e-03 [151,] 0.99816390 3.672198e-03 1.836099e-03 [152,] 0.99846231 3.075384e-03 1.537692e-03 [153,] 0.99907660 1.846805e-03 9.234023e-04 [154,] 0.99878405 2.431894e-03 1.215947e-03 [155,] 0.99863616 2.727677e-03 1.363838e-03 [156,] 0.99877864 2.442717e-03 1.221359e-03 [157,] 0.99901374 1.972518e-03 9.862591e-04 [158,] 0.99872161 2.556780e-03 1.278390e-03 [159,] 0.99956761 8.647879e-04 4.323939e-04 [160,] 0.99952517 9.496662e-04 4.748331e-04 [161,] 0.99948181 1.036382e-03 5.181908e-04 [162,] 0.99955405 8.918990e-04 4.459495e-04 [163,] 0.99989653 2.069346e-04 1.034673e-04 [164,] 0.99992292 1.541658e-04 7.708292e-05 [165,] 0.99996158 7.684928e-05 3.842464e-05 [166,] 0.99999999 2.343754e-08 1.171877e-08 [167,] 0.99999999 1.711475e-08 8.557374e-09 [168,] 0.99999999 2.696448e-08 1.348224e-08 [169,] 0.99999998 4.172540e-08 2.086270e-08 [170,] 1.00000000 1.020446e-11 5.102231e-12 [171,] 1.00000000 9.876641e-12 4.938320e-12 [172,] 1.00000000 1.817283e-11 9.086413e-12 [173,] 1.00000000 1.598641e-11 7.993203e-12 [174,] 1.00000000 3.044376e-11 1.522188e-11 [175,] 1.00000000 4.505803e-11 2.252902e-11 [176,] 1.00000000 6.229657e-13 3.114828e-13 [177,] 1.00000000 1.227849e-12 6.139243e-13 [178,] 1.00000000 2.011449e-12 1.005725e-12 [179,] 1.00000000 3.265485e-12 1.632742e-12 [180,] 1.00000000 6.161324e-12 3.080662e-12 [181,] 1.00000000 8.561411e-12 4.280705e-12 [182,] 1.00000000 9.930022e-12 4.965011e-12 [183,] 1.00000000 4.377064e-12 2.188532e-12 [184,] 1.00000000 3.769005e-12 1.884502e-12 [185,] 1.00000000 4.873593e-12 2.436796e-12 [186,] 1.00000000 3.054088e-12 1.527044e-12 [187,] 1.00000000 7.746077e-13 3.873039e-13 [188,] 1.00000000 5.639258e-13 2.819629e-13 [189,] 1.00000000 1.174859e-12 5.874297e-13 [190,] 1.00000000 2.137625e-12 1.068812e-12 [191,] 1.00000000 2.986364e-12 1.493182e-12 [192,] 1.00000000 6.169793e-12 3.084897e-12 [193,] 1.00000000 1.112399e-11 5.561996e-12 [194,] 1.00000000 2.235919e-11 1.117960e-11 [195,] 1.00000000 3.472671e-11 1.736335e-11 [196,] 1.00000000 5.427962e-11 2.713981e-11 [197,] 1.00000000 6.779396e-11 3.389698e-11 [198,] 1.00000000 1.218366e-10 6.091828e-11 [199,] 1.00000000 1.773292e-10 8.866458e-11 [200,] 1.00000000 3.462336e-10 1.731168e-10 [201,] 1.00000000 4.000834e-10 2.000417e-10 [202,] 1.00000000 7.436517e-10 3.718258e-10 [203,] 1.00000000 1.093751e-09 5.468755e-10 [204,] 1.00000000 2.148832e-09 1.074416e-09 [205,] 1.00000000 2.833243e-09 1.416622e-09 [206,] 1.00000000 6.557384e-10 3.278692e-10 [207,] 1.00000000 3.828024e-10 1.914012e-10 [208,] 1.00000000 7.738607e-10 3.869303e-10 [209,] 1.00000000 8.448134e-10 4.224067e-10 [210,] 1.00000000 1.616059e-09 8.080297e-10 [211,] 1.00000000 2.421241e-09 1.210621e-09 [212,] 1.00000000 4.527259e-09 2.263630e-09 [213,] 1.00000000 6.172707e-09 3.086354e-09 [214,] 1.00000000 7.674207e-09 3.837103e-09 [215,] 0.99999999 1.519307e-08 7.596534e-09 [216,] 0.99999999 1.734626e-08 8.673128e-09 [217,] 0.99999999 2.965290e-08 1.482645e-08 [218,] 0.99999997 5.377888e-08 2.688944e-08 [219,] 0.99999996 8.538227e-08 4.269113e-08 [220,] 0.99999994 1.261421e-07 6.307104e-08 [221,] 0.99999989 2.291640e-07 1.145820e-07 [222,] 0.99999996 7.266236e-08 3.633118e-08 [223,] 0.99999996 7.973107e-08 3.986553e-08 [224,] 0.99999992 1.545204e-07 7.726018e-08 [225,] 0.99999988 2.389853e-07 1.194926e-07 [226,] 0.99999978 4.372778e-07 2.186389e-07 [227,] 0.99999979 4.116706e-07 2.058353e-07 [228,] 0.99999966 6.807268e-07 3.403634e-07 [229,] 0.99999933 1.345107e-06 6.725535e-07 [230,] 0.99999868 2.638713e-06 1.319357e-06 [231,] 0.99999778 4.446798e-06 2.223399e-06 [232,] 0.99999646 7.077141e-06 3.538571e-06 [233,] 0.99999354 1.291340e-05 6.456701e-06 [234,] 0.99999113 1.773118e-05 8.865588e-06 [235,] 0.99998329 3.341220e-05 1.670610e-05 [236,] 0.99996903 6.194398e-05 3.097199e-05 [237,] 0.99994395 1.121024e-04 5.605122e-05 [238,] 0.99997092 5.815915e-05 2.907958e-05 [239,] 0.99995966 8.068822e-05 4.034411e-05 [240,] 0.99992500 1.500000e-04 7.499999e-05 [241,] 0.99986922 2.615590e-04 1.307795e-04 [242,] 0.99980558 3.888403e-04 1.944201e-04 [243,] 0.99974392 5.121546e-04 2.560773e-04 [244,] 0.99960251 7.949755e-04 3.974878e-04 [245,] 0.99976993 4.601445e-04 2.300723e-04 [246,] 0.99969196 6.160753e-04 3.080376e-04 [247,] 0.99944396 1.112089e-03 5.560447e-04 [248,] 0.99934574 1.308528e-03 6.542641e-04 [249,] 0.99881632 2.367365e-03 1.183682e-03 [250,] 0.99834503 3.309939e-03 1.654970e-03 [251,] 0.99710139 5.797219e-03 2.898610e-03 [252,] 0.99830046 3.399084e-03 1.699542e-03 [253,] 0.99867173 2.656540e-03 1.328270e-03 [254,] 0.99790299 4.194028e-03 2.097014e-03 [255,] 0.99844045 3.119097e-03 1.559549e-03 [256,] 0.99751134 4.977312e-03 2.488656e-03 [257,] 0.99755639 4.887220e-03 2.443610e-03 [258,] 0.99653481 6.930375e-03 3.465188e-03 [259,] 0.99408094 1.183812e-02 5.919062e-03 [260,] 0.99241333 1.517333e-02 7.586666e-03 [261,] 0.98746972 2.506055e-02 1.253028e-02 [262,] 0.99914682 1.706357e-03 8.531784e-04 [263,] 0.99793862 4.122762e-03 2.061381e-03 [264,] 0.99779725 4.405490e-03 2.202745e-03 [265,] 0.99454990 1.090019e-02 5.450095e-03 [266,] 0.99509606 9.807880e-03 4.903940e-03 [267,] 0.98858135 2.283730e-02 1.141865e-02 [268,] 0.99556312 8.873765e-03 4.436883e-03 [269,] 0.99394462 1.211075e-02 6.055377e-03 [270,] 0.98198855 3.602290e-02 1.801145e-02 > postscript(file="/var/wessaorg/rcomp/tmp/1amv21354809784.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/wessaorg/rcomp/tmp/2j2re1354809784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/31tj41354809784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4cupj1354809784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5e1ta1354809784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 24.4216589 11.4047410 -11.6334468 16.6491814 16.6963166 -35.6171440 7 8 9 10 11 12 -13.8259504 -19.8860077 -3.1816708 -22.0272192 9.1884539 -11.8648229 13 14 15 16 17 18 4.3614615 -10.7402643 4.1296962 -2.8784205 -1.8111241 28.3482112 19 20 21 22 23 24 -12.1889287 30.3400425 38.2156791 16.1062026 -13.8931480 6.8768840 25 26 27 28 29 30 10.3949361 24.0336377 -18.2519954 -7.3633766 29.5222121 -12.3590332 31 32 33 34 35 36 24.7976903 7.3960246 -38.3279107 12.9918601 -10.9462462 0.4769861 37 38 39 40 41 42 6.6668963 -22.0065829 -25.1351528 7.6233009 -4.3674650 10.8910610 43 44 45 46 47 48 9.5801360 -7.4174948 -6.7307012 -12.5361672 -18.6739803 4.7930679 49 50 51 52 53 54 -8.9017068 -37.7171923 7.2259604 -19.5342734 3.0759508 -0.5297681 55 56 57 58 59 60 -0.6716737 5.9511061 1.8601391 -9.8270389 -6.0219494 -0.8889337 61 62 63 64 65 66 -7.5735571 10.9975913 4.0586870 -5.5813188 24.0290833 26.6999727 67 68 69 70 71 72 15.4424066 14.8805652 40.3443013 -39.4719391 -22.9206234 -24.6166056 73 74 75 76 77 78 18.4736765 10.1275199 -5.3374010 39.1363448 71.5229856 -5.3215717 79 80 81 82 83 84 -20.2586486 -18.1453527 1.7542074 29.4583025 26.4810685 5.5533270 85 86 87 88 89 90 8.3767472 34.2952074 -12.4481474 -4.9185387 4.7077414 -36.1829967 91 92 93 94 95 96 46.3715868 21.3439373 -35.3502994 21.8366375 9.2219209 -30.0193117 97 98 99 100 101 102 -27.1529999 27.1503059 -14.1235989 53.2658604 -13.0744943 0.1800645 103 104 105 106 107 108 -17.6961607 5.5978203 24.6136452 50.7584425 -7.4308794 -2.7603783 109 110 111 112 113 114 39.6556012 1.6206747 31.1727575 -30.3077742 -11.6151187 23.3490487 115 116 117 118 119 120 5.9721404 13.6707214 53.6705792 -6.2994075 -17.0575093 13.0833569 121 122 123 124 125 126 6.3547868 -4.4724121 0.1270595 19.8618418 -9.2932870 13.9517068 127 128 129 130 131 132 3.5559531 17.8728994 38.7346135 14.5866653 -8.0809840 26.1139551 133 134 135 136 137 138 15.5044578 -18.6810652 3.3459522 13.0603150 6.3750315 -2.8121736 139 140 141 142 143 144 -1.4632008 7.2905488 -12.6574222 11.4056710 -27.5424184 5.4213876 145 146 147 148 149 150 -14.2946157 -4.6522610 -26.5385927 -24.5066871 2.7916986 -21.6762888 151 152 153 154 155 156 -8.6191826 -39.1801214 4.4038871 -1.1923269 38.3682717 13.0741569 157 158 159 160 161 162 -7.0691634 4.2147619 -23.3057689 -9.7709731 -29.3217508 -26.0627461 163 164 165 166 167 168 -2.4802572 -21.1117760 -19.6601938 19.1617645 6.6936271 -41.0571226 169 170 171 172 173 174 16.8828828 -18.3293756 -24.1159345 37.2293998 -25.1020490 30.3225916 175 176 177 178 179 180 62.2096691 -22.9967826 -7.8565292 -10.8695431 40.9752331 19.9412779 181 182 183 184 185 186 11.0298655 14.4902936 10.4506711 -22.8918501 7.7760179 14.2390346 187 188 189 190 191 192 -0.0859629 6.1186315 -9.8486113 -10.5583819 -4.8999184 -31.8890057 193 194 195 196 197 198 25.3607282 1.1412466 -3.7776210 23.9501513 -30.2032551 -5.2525540 199 200 201 202 203 204 -17.8527922 4.8151260 -3.4434301 -11.5640751 -0.5017807 -11.8903179 205 206 207 208 209 210 -13.8543040 -21.2012720 0.6270486 -18.3472026 -10.2179494 -11.1177691 211 212 213 214 215 216 11.3002510 1.3445815 -5.1463633 0.5802639 -42.2069179 -28.9284115 217 218 219 220 221 222 -5.4700684 2.6860424 3.8679796 -15.4601311 -14.1611577 -13.5949359 223 224 225 226 227 228 11.2206652 -5.2559654 -16.1969720 11.1014524 14.7679515 0.2416040 229 230 231 232 233 234 15.6242078 -15.0339511 -22.7411287 10.3351804 -15.7843138 -6.4731048 235 236 237 238 239 240 -12.0836879 11.8218190 -23.9774989 -6.1238652 -1.5638538 -10.8449795 241 242 243 244 245 246 -13.0748203 -15.5232723 8.7038496 -0.8411406 -2.0612227 -10.5447249 247 248 249 250 251 252 12.1579796 -14.2372023 -1.2053115 5.0377367 -21.1254716 5.4386607 253 254 255 256 257 258 21.6261759 -24.0623361 -22.7959418 2.1393519 14.0536216 -2.4567896 259 260 261 262 263 264 -5.4299926 7.0300424 -19.3354528 21.0578558 0.3606519 14.0262342 265 266 267 268 269 270 -6.2628653 9.5393026 3.7168378 12.3107907 5.2322414 0.1231763 271 272 273 274 275 276 -22.6116712 -7.8065393 5.3010685 14.7852421 8.0267631 11.7605705 277 278 279 280 281 282 -9.8449705 17.2590016 8.1937243 -13.9668294 -7.4572154 -6.3237008 283 284 285 286 287 288 0.1752709 6.6635265 -18.2012721 -13.0796936 -3.5183413 5.9766179 289 -17.9069401 > postscript(file="/var/wessaorg/rcomp/tmp/6nkix1354809784.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 24.4216589 NA 1 11.4047410 24.4216589 2 -11.6334468 11.4047410 3 16.6491814 -11.6334468 4 16.6963166 16.6491814 5 -35.6171440 16.6963166 6 -13.8259504 -35.6171440 7 -19.8860077 -13.8259504 8 -3.1816708 -19.8860077 9 -22.0272192 -3.1816708 10 9.1884539 -22.0272192 11 -11.8648229 9.1884539 12 4.3614615 -11.8648229 13 -10.7402643 4.3614615 14 4.1296962 -10.7402643 15 -2.8784205 4.1296962 16 -1.8111241 -2.8784205 17 28.3482112 -1.8111241 18 -12.1889287 28.3482112 19 30.3400425 -12.1889287 20 38.2156791 30.3400425 21 16.1062026 38.2156791 22 -13.8931480 16.1062026 23 6.8768840 -13.8931480 24 10.3949361 6.8768840 25 24.0336377 10.3949361 26 -18.2519954 24.0336377 27 -7.3633766 -18.2519954 28 29.5222121 -7.3633766 29 -12.3590332 29.5222121 30 24.7976903 -12.3590332 31 7.3960246 24.7976903 32 -38.3279107 7.3960246 33 12.9918601 -38.3279107 34 -10.9462462 12.9918601 35 0.4769861 -10.9462462 36 6.6668963 0.4769861 37 -22.0065829 6.6668963 38 -25.1351528 -22.0065829 39 7.6233009 -25.1351528 40 -4.3674650 7.6233009 41 10.8910610 -4.3674650 42 9.5801360 10.8910610 43 -7.4174948 9.5801360 44 -6.7307012 -7.4174948 45 -12.5361672 -6.7307012 46 -18.6739803 -12.5361672 47 4.7930679 -18.6739803 48 -8.9017068 4.7930679 49 -37.7171923 -8.9017068 50 7.2259604 -37.7171923 51 -19.5342734 7.2259604 52 3.0759508 -19.5342734 53 -0.5297681 3.0759508 54 -0.6716737 -0.5297681 55 5.9511061 -0.6716737 56 1.8601391 5.9511061 57 -9.8270389 1.8601391 58 -6.0219494 -9.8270389 59 -0.8889337 -6.0219494 60 -7.5735571 -0.8889337 61 10.9975913 -7.5735571 62 4.0586870 10.9975913 63 -5.5813188 4.0586870 64 24.0290833 -5.5813188 65 26.6999727 24.0290833 66 15.4424066 26.6999727 67 14.8805652 15.4424066 68 40.3443013 14.8805652 69 -39.4719391 40.3443013 70 -22.9206234 -39.4719391 71 -24.6166056 -22.9206234 72 18.4736765 -24.6166056 73 10.1275199 18.4736765 74 -5.3374010 10.1275199 75 39.1363448 -5.3374010 76 71.5229856 39.1363448 77 -5.3215717 71.5229856 78 -20.2586486 -5.3215717 79 -18.1453527 -20.2586486 80 1.7542074 -18.1453527 81 29.4583025 1.7542074 82 26.4810685 29.4583025 83 5.5533270 26.4810685 84 8.3767472 5.5533270 85 34.2952074 8.3767472 86 -12.4481474 34.2952074 87 -4.9185387 -12.4481474 88 4.7077414 -4.9185387 89 -36.1829967 4.7077414 90 46.3715868 -36.1829967 91 21.3439373 46.3715868 92 -35.3502994 21.3439373 93 21.8366375 -35.3502994 94 9.2219209 21.8366375 95 -30.0193117 9.2219209 96 -27.1529999 -30.0193117 97 27.1503059 -27.1529999 98 -14.1235989 27.1503059 99 53.2658604 -14.1235989 100 -13.0744943 53.2658604 101 0.1800645 -13.0744943 102 -17.6961607 0.1800645 103 5.5978203 -17.6961607 104 24.6136452 5.5978203 105 50.7584425 24.6136452 106 -7.4308794 50.7584425 107 -2.7603783 -7.4308794 108 39.6556012 -2.7603783 109 1.6206747 39.6556012 110 31.1727575 1.6206747 111 -30.3077742 31.1727575 112 -11.6151187 -30.3077742 113 23.3490487 -11.6151187 114 5.9721404 23.3490487 115 13.6707214 5.9721404 116 53.6705792 13.6707214 117 -6.2994075 53.6705792 118 -17.0575093 -6.2994075 119 13.0833569 -17.0575093 120 6.3547868 13.0833569 121 -4.4724121 6.3547868 122 0.1270595 -4.4724121 123 19.8618418 0.1270595 124 -9.2932870 19.8618418 125 13.9517068 -9.2932870 126 3.5559531 13.9517068 127 17.8728994 3.5559531 128 38.7346135 17.8728994 129 14.5866653 38.7346135 130 -8.0809840 14.5866653 131 26.1139551 -8.0809840 132 15.5044578 26.1139551 133 -18.6810652 15.5044578 134 3.3459522 -18.6810652 135 13.0603150 3.3459522 136 6.3750315 13.0603150 137 -2.8121736 6.3750315 138 -1.4632008 -2.8121736 139 7.2905488 -1.4632008 140 -12.6574222 7.2905488 141 11.4056710 -12.6574222 142 -27.5424184 11.4056710 143 5.4213876 -27.5424184 144 -14.2946157 5.4213876 145 -4.6522610 -14.2946157 146 -26.5385927 -4.6522610 147 -24.5066871 -26.5385927 148 2.7916986 -24.5066871 149 -21.6762888 2.7916986 150 -8.6191826 -21.6762888 151 -39.1801214 -8.6191826 152 4.4038871 -39.1801214 153 -1.1923269 4.4038871 154 38.3682717 -1.1923269 155 13.0741569 38.3682717 156 -7.0691634 13.0741569 157 4.2147619 -7.0691634 158 -23.3057689 4.2147619 159 -9.7709731 -23.3057689 160 -29.3217508 -9.7709731 161 -26.0627461 -29.3217508 162 -2.4802572 -26.0627461 163 -21.1117760 -2.4802572 164 -19.6601938 -21.1117760 165 19.1617645 -19.6601938 166 6.6936271 19.1617645 167 -41.0571226 6.6936271 168 16.8828828 -41.0571226 169 -18.3293756 16.8828828 170 -24.1159345 -18.3293756 171 37.2293998 -24.1159345 172 -25.1020490 37.2293998 173 30.3225916 -25.1020490 174 62.2096691 30.3225916 175 -22.9967826 62.2096691 176 -7.8565292 -22.9967826 177 -10.8695431 -7.8565292 178 40.9752331 -10.8695431 179 19.9412779 40.9752331 180 11.0298655 19.9412779 181 14.4902936 11.0298655 182 10.4506711 14.4902936 183 -22.8918501 10.4506711 184 7.7760179 -22.8918501 185 14.2390346 7.7760179 186 -0.0859629 14.2390346 187 6.1186315 -0.0859629 188 -9.8486113 6.1186315 189 -10.5583819 -9.8486113 190 -4.8999184 -10.5583819 191 -31.8890057 -4.8999184 192 25.3607282 -31.8890057 193 1.1412466 25.3607282 194 -3.7776210 1.1412466 195 23.9501513 -3.7776210 196 -30.2032551 23.9501513 197 -5.2525540 -30.2032551 198 -17.8527922 -5.2525540 199 4.8151260 -17.8527922 200 -3.4434301 4.8151260 201 -11.5640751 -3.4434301 202 -0.5017807 -11.5640751 203 -11.8903179 -0.5017807 204 -13.8543040 -11.8903179 205 -21.2012720 -13.8543040 206 0.6270486 -21.2012720 207 -18.3472026 0.6270486 208 -10.2179494 -18.3472026 209 -11.1177691 -10.2179494 210 11.3002510 -11.1177691 211 1.3445815 11.3002510 212 -5.1463633 1.3445815 213 0.5802639 -5.1463633 214 -42.2069179 0.5802639 215 -28.9284115 -42.2069179 216 -5.4700684 -28.9284115 217 2.6860424 -5.4700684 218 3.8679796 2.6860424 219 -15.4601311 3.8679796 220 -14.1611577 -15.4601311 221 -13.5949359 -14.1611577 222 11.2206652 -13.5949359 223 -5.2559654 11.2206652 224 -16.1969720 -5.2559654 225 11.1014524 -16.1969720 226 14.7679515 11.1014524 227 0.2416040 14.7679515 228 15.6242078 0.2416040 229 -15.0339511 15.6242078 230 -22.7411287 -15.0339511 231 10.3351804 -22.7411287 232 -15.7843138 10.3351804 233 -6.4731048 -15.7843138 234 -12.0836879 -6.4731048 235 11.8218190 -12.0836879 236 -23.9774989 11.8218190 237 -6.1238652 -23.9774989 238 -1.5638538 -6.1238652 239 -10.8449795 -1.5638538 240 -13.0748203 -10.8449795 241 -15.5232723 -13.0748203 242 8.7038496 -15.5232723 243 -0.8411406 8.7038496 244 -2.0612227 -0.8411406 245 -10.5447249 -2.0612227 246 12.1579796 -10.5447249 247 -14.2372023 12.1579796 248 -1.2053115 -14.2372023 249 5.0377367 -1.2053115 250 -21.1254716 5.0377367 251 5.4386607 -21.1254716 252 21.6261759 5.4386607 253 -24.0623361 21.6261759 254 -22.7959418 -24.0623361 255 2.1393519 -22.7959418 256 14.0536216 2.1393519 257 -2.4567896 14.0536216 258 -5.4299926 -2.4567896 259 7.0300424 -5.4299926 260 -19.3354528 7.0300424 261 21.0578558 -19.3354528 262 0.3606519 21.0578558 263 14.0262342 0.3606519 264 -6.2628653 14.0262342 265 9.5393026 -6.2628653 266 3.7168378 9.5393026 267 12.3107907 3.7168378 268 5.2322414 12.3107907 269 0.1231763 5.2322414 270 -22.6116712 0.1231763 271 -7.8065393 -22.6116712 272 5.3010685 -7.8065393 273 14.7852421 5.3010685 274 8.0267631 14.7852421 275 11.7605705 8.0267631 276 -9.8449705 11.7605705 277 17.2590016 -9.8449705 278 8.1937243 17.2590016 279 -13.9668294 8.1937243 280 -7.4572154 -13.9668294 281 -6.3237008 -7.4572154 282 0.1752709 -6.3237008 283 6.6635265 0.1752709 284 -18.2012721 6.6635265 285 -13.0796936 -18.2012721 286 -3.5183413 -13.0796936 287 5.9766179 -3.5183413 288 -17.9069401 5.9766179 289 NA -17.9069401 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 11.4047410 24.4216589 [2,] -11.6334468 11.4047410 [3,] 16.6491814 -11.6334468 [4,] 16.6963166 16.6491814 [5,] -35.6171440 16.6963166 [6,] -13.8259504 -35.6171440 [7,] -19.8860077 -13.8259504 [8,] -3.1816708 -19.8860077 [9,] -22.0272192 -3.1816708 [10,] 9.1884539 -22.0272192 [11,] -11.8648229 9.1884539 [12,] 4.3614615 -11.8648229 [13,] -10.7402643 4.3614615 [14,] 4.1296962 -10.7402643 [15,] -2.8784205 4.1296962 [16,] -1.8111241 -2.8784205 [17,] 28.3482112 -1.8111241 [18,] -12.1889287 28.3482112 [19,] 30.3400425 -12.1889287 [20,] 38.2156791 30.3400425 [21,] 16.1062026 38.2156791 [22,] -13.8931480 16.1062026 [23,] 6.8768840 -13.8931480 [24,] 10.3949361 6.8768840 [25,] 24.0336377 10.3949361 [26,] -18.2519954 24.0336377 [27,] -7.3633766 -18.2519954 [28,] 29.5222121 -7.3633766 [29,] -12.3590332 29.5222121 [30,] 24.7976903 -12.3590332 [31,] 7.3960246 24.7976903 [32,] -38.3279107 7.3960246 [33,] 12.9918601 -38.3279107 [34,] -10.9462462 12.9918601 [35,] 0.4769861 -10.9462462 [36,] 6.6668963 0.4769861 [37,] -22.0065829 6.6668963 [38,] -25.1351528 -22.0065829 [39,] 7.6233009 -25.1351528 [40,] -4.3674650 7.6233009 [41,] 10.8910610 -4.3674650 [42,] 9.5801360 10.8910610 [43,] -7.4174948 9.5801360 [44,] -6.7307012 -7.4174948 [45,] -12.5361672 -6.7307012 [46,] -18.6739803 -12.5361672 [47,] 4.7930679 -18.6739803 [48,] -8.9017068 4.7930679 [49,] -37.7171923 -8.9017068 [50,] 7.2259604 -37.7171923 [51,] -19.5342734 7.2259604 [52,] 3.0759508 -19.5342734 [53,] -0.5297681 3.0759508 [54,] -0.6716737 -0.5297681 [55,] 5.9511061 -0.6716737 [56,] 1.8601391 5.9511061 [57,] -9.8270389 1.8601391 [58,] -6.0219494 -9.8270389 [59,] -0.8889337 -6.0219494 [60,] -7.5735571 -0.8889337 [61,] 10.9975913 -7.5735571 [62,] 4.0586870 10.9975913 [63,] -5.5813188 4.0586870 [64,] 24.0290833 -5.5813188 [65,] 26.6999727 24.0290833 [66,] 15.4424066 26.6999727 [67,] 14.8805652 15.4424066 [68,] 40.3443013 14.8805652 [69,] -39.4719391 40.3443013 [70,] -22.9206234 -39.4719391 [71,] -24.6166056 -22.9206234 [72,] 18.4736765 -24.6166056 [73,] 10.1275199 18.4736765 [74,] -5.3374010 10.1275199 [75,] 39.1363448 -5.3374010 [76,] 71.5229856 39.1363448 [77,] -5.3215717 71.5229856 [78,] -20.2586486 -5.3215717 [79,] -18.1453527 -20.2586486 [80,] 1.7542074 -18.1453527 [81,] 29.4583025 1.7542074 [82,] 26.4810685 29.4583025 [83,] 5.5533270 26.4810685 [84,] 8.3767472 5.5533270 [85,] 34.2952074 8.3767472 [86,] -12.4481474 34.2952074 [87,] -4.9185387 -12.4481474 [88,] 4.7077414 -4.9185387 [89,] -36.1829967 4.7077414 [90,] 46.3715868 -36.1829967 [91,] 21.3439373 46.3715868 [92,] -35.3502994 21.3439373 [93,] 21.8366375 -35.3502994 [94,] 9.2219209 21.8366375 [95,] -30.0193117 9.2219209 [96,] -27.1529999 -30.0193117 [97,] 27.1503059 -27.1529999 [98,] -14.1235989 27.1503059 [99,] 53.2658604 -14.1235989 [100,] -13.0744943 53.2658604 [101,] 0.1800645 -13.0744943 [102,] -17.6961607 0.1800645 [103,] 5.5978203 -17.6961607 [104,] 24.6136452 5.5978203 [105,] 50.7584425 24.6136452 [106,] -7.4308794 50.7584425 [107,] -2.7603783 -7.4308794 [108,] 39.6556012 -2.7603783 [109,] 1.6206747 39.6556012 [110,] 31.1727575 1.6206747 [111,] -30.3077742 31.1727575 [112,] -11.6151187 -30.3077742 [113,] 23.3490487 -11.6151187 [114,] 5.9721404 23.3490487 [115,] 13.6707214 5.9721404 [116,] 53.6705792 13.6707214 [117,] -6.2994075 53.6705792 [118,] -17.0575093 -6.2994075 [119,] 13.0833569 -17.0575093 [120,] 6.3547868 13.0833569 [121,] -4.4724121 6.3547868 [122,] 0.1270595 -4.4724121 [123,] 19.8618418 0.1270595 [124,] -9.2932870 19.8618418 [125,] 13.9517068 -9.2932870 [126,] 3.5559531 13.9517068 [127,] 17.8728994 3.5559531 [128,] 38.7346135 17.8728994 [129,] 14.5866653 38.7346135 [130,] -8.0809840 14.5866653 [131,] 26.1139551 -8.0809840 [132,] 15.5044578 26.1139551 [133,] -18.6810652 15.5044578 [134,] 3.3459522 -18.6810652 [135,] 13.0603150 3.3459522 [136,] 6.3750315 13.0603150 [137,] -2.8121736 6.3750315 [138,] -1.4632008 -2.8121736 [139,] 7.2905488 -1.4632008 [140,] -12.6574222 7.2905488 [141,] 11.4056710 -12.6574222 [142,] -27.5424184 11.4056710 [143,] 5.4213876 -27.5424184 [144,] -14.2946157 5.4213876 [145,] -4.6522610 -14.2946157 [146,] -26.5385927 -4.6522610 [147,] -24.5066871 -26.5385927 [148,] 2.7916986 -24.5066871 [149,] -21.6762888 2.7916986 [150,] -8.6191826 -21.6762888 [151,] -39.1801214 -8.6191826 [152,] 4.4038871 -39.1801214 [153,] -1.1923269 4.4038871 [154,] 38.3682717 -1.1923269 [155,] 13.0741569 38.3682717 [156,] -7.0691634 13.0741569 [157,] 4.2147619 -7.0691634 [158,] -23.3057689 4.2147619 [159,] -9.7709731 -23.3057689 [160,] -29.3217508 -9.7709731 [161,] -26.0627461 -29.3217508 [162,] -2.4802572 -26.0627461 [163,] -21.1117760 -2.4802572 [164,] -19.6601938 -21.1117760 [165,] 19.1617645 -19.6601938 [166,] 6.6936271 19.1617645 [167,] -41.0571226 6.6936271 [168,] 16.8828828 -41.0571226 [169,] -18.3293756 16.8828828 [170,] -24.1159345 -18.3293756 [171,] 37.2293998 -24.1159345 [172,] -25.1020490 37.2293998 [173,] 30.3225916 -25.1020490 [174,] 62.2096691 30.3225916 [175,] -22.9967826 62.2096691 [176,] -7.8565292 -22.9967826 [177,] -10.8695431 -7.8565292 [178,] 40.9752331 -10.8695431 [179,] 19.9412779 40.9752331 [180,] 11.0298655 19.9412779 [181,] 14.4902936 11.0298655 [182,] 10.4506711 14.4902936 [183,] -22.8918501 10.4506711 [184,] 7.7760179 -22.8918501 [185,] 14.2390346 7.7760179 [186,] -0.0859629 14.2390346 [187,] 6.1186315 -0.0859629 [188,] -9.8486113 6.1186315 [189,] -10.5583819 -9.8486113 [190,] -4.8999184 -10.5583819 [191,] -31.8890057 -4.8999184 [192,] 25.3607282 -31.8890057 [193,] 1.1412466 25.3607282 [194,] -3.7776210 1.1412466 [195,] 23.9501513 -3.7776210 [196,] -30.2032551 23.9501513 [197,] -5.2525540 -30.2032551 [198,] -17.8527922 -5.2525540 [199,] 4.8151260 -17.8527922 [200,] -3.4434301 4.8151260 [201,] -11.5640751 -3.4434301 [202,] -0.5017807 -11.5640751 [203,] -11.8903179 -0.5017807 [204,] -13.8543040 -11.8903179 [205,] -21.2012720 -13.8543040 [206,] 0.6270486 -21.2012720 [207,] -18.3472026 0.6270486 [208,] -10.2179494 -18.3472026 [209,] -11.1177691 -10.2179494 [210,] 11.3002510 -11.1177691 [211,] 1.3445815 11.3002510 [212,] -5.1463633 1.3445815 [213,] 0.5802639 -5.1463633 [214,] -42.2069179 0.5802639 [215,] -28.9284115 -42.2069179 [216,] -5.4700684 -28.9284115 [217,] 2.6860424 -5.4700684 [218,] 3.8679796 2.6860424 [219,] -15.4601311 3.8679796 [220,] -14.1611577 -15.4601311 [221,] -13.5949359 -14.1611577 [222,] 11.2206652 -13.5949359 [223,] -5.2559654 11.2206652 [224,] -16.1969720 -5.2559654 [225,] 11.1014524 -16.1969720 [226,] 14.7679515 11.1014524 [227,] 0.2416040 14.7679515 [228,] 15.6242078 0.2416040 [229,] -15.0339511 15.6242078 [230,] -22.7411287 -15.0339511 [231,] 10.3351804 -22.7411287 [232,] -15.7843138 10.3351804 [233,] -6.4731048 -15.7843138 [234,] -12.0836879 -6.4731048 [235,] 11.8218190 -12.0836879 [236,] -23.9774989 11.8218190 [237,] -6.1238652 -23.9774989 [238,] -1.5638538 -6.1238652 [239,] -10.8449795 -1.5638538 [240,] -13.0748203 -10.8449795 [241,] -15.5232723 -13.0748203 [242,] 8.7038496 -15.5232723 [243,] -0.8411406 8.7038496 [244,] -2.0612227 -0.8411406 [245,] -10.5447249 -2.0612227 [246,] 12.1579796 -10.5447249 [247,] -14.2372023 12.1579796 [248,] -1.2053115 -14.2372023 [249,] 5.0377367 -1.2053115 [250,] -21.1254716 5.0377367 [251,] 5.4386607 -21.1254716 [252,] 21.6261759 5.4386607 [253,] -24.0623361 21.6261759 [254,] -22.7959418 -24.0623361 [255,] 2.1393519 -22.7959418 [256,] 14.0536216 2.1393519 [257,] -2.4567896 14.0536216 [258,] -5.4299926 -2.4567896 [259,] 7.0300424 -5.4299926 [260,] -19.3354528 7.0300424 [261,] 21.0578558 -19.3354528 [262,] 0.3606519 21.0578558 [263,] 14.0262342 0.3606519 [264,] -6.2628653 14.0262342 [265,] 9.5393026 -6.2628653 [266,] 3.7168378 9.5393026 [267,] 12.3107907 3.7168378 [268,] 5.2322414 12.3107907 [269,] 0.1231763 5.2322414 [270,] -22.6116712 0.1231763 [271,] -7.8065393 -22.6116712 [272,] 5.3010685 -7.8065393 [273,] 14.7852421 5.3010685 [274,] 8.0267631 14.7852421 [275,] 11.7605705 8.0267631 [276,] -9.8449705 11.7605705 [277,] 17.2590016 -9.8449705 [278,] 8.1937243 17.2590016 [279,] -13.9668294 8.1937243 [280,] -7.4572154 -13.9668294 [281,] -6.3237008 -7.4572154 [282,] 0.1752709 -6.3237008 [283,] 6.6635265 0.1752709 [284,] -18.2012721 6.6635265 [285,] -13.0796936 -18.2012721 [286,] -3.5183413 -13.0796936 [287,] 5.9766179 -3.5183413 [288,] -17.9069401 5.9766179 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 11.4047410 24.4216589 2 -11.6334468 11.4047410 3 16.6491814 -11.6334468 4 16.6963166 16.6491814 5 -35.6171440 16.6963166 6 -13.8259504 -35.6171440 7 -19.8860077 -13.8259504 8 -3.1816708 -19.8860077 9 -22.0272192 -3.1816708 10 9.1884539 -22.0272192 11 -11.8648229 9.1884539 12 4.3614615 -11.8648229 13 -10.7402643 4.3614615 14 4.1296962 -10.7402643 15 -2.8784205 4.1296962 16 -1.8111241 -2.8784205 17 28.3482112 -1.8111241 18 -12.1889287 28.3482112 19 30.3400425 -12.1889287 20 38.2156791 30.3400425 21 16.1062026 38.2156791 22 -13.8931480 16.1062026 23 6.8768840 -13.8931480 24 10.3949361 6.8768840 25 24.0336377 10.3949361 26 -18.2519954 24.0336377 27 -7.3633766 -18.2519954 28 29.5222121 -7.3633766 29 -12.3590332 29.5222121 30 24.7976903 -12.3590332 31 7.3960246 24.7976903 32 -38.3279107 7.3960246 33 12.9918601 -38.3279107 34 -10.9462462 12.9918601 35 0.4769861 -10.9462462 36 6.6668963 0.4769861 37 -22.0065829 6.6668963 38 -25.1351528 -22.0065829 39 7.6233009 -25.1351528 40 -4.3674650 7.6233009 41 10.8910610 -4.3674650 42 9.5801360 10.8910610 43 -7.4174948 9.5801360 44 -6.7307012 -7.4174948 45 -12.5361672 -6.7307012 46 -18.6739803 -12.5361672 47 4.7930679 -18.6739803 48 -8.9017068 4.7930679 49 -37.7171923 -8.9017068 50 7.2259604 -37.7171923 51 -19.5342734 7.2259604 52 3.0759508 -19.5342734 53 -0.5297681 3.0759508 54 -0.6716737 -0.5297681 55 5.9511061 -0.6716737 56 1.8601391 5.9511061 57 -9.8270389 1.8601391 58 -6.0219494 -9.8270389 59 -0.8889337 -6.0219494 60 -7.5735571 -0.8889337 61 10.9975913 -7.5735571 62 4.0586870 10.9975913 63 -5.5813188 4.0586870 64 24.0290833 -5.5813188 65 26.6999727 24.0290833 66 15.4424066 26.6999727 67 14.8805652 15.4424066 68 40.3443013 14.8805652 69 -39.4719391 40.3443013 70 -22.9206234 -39.4719391 71 -24.6166056 -22.9206234 72 18.4736765 -24.6166056 73 10.1275199 18.4736765 74 -5.3374010 10.1275199 75 39.1363448 -5.3374010 76 71.5229856 39.1363448 77 -5.3215717 71.5229856 78 -20.2586486 -5.3215717 79 -18.1453527 -20.2586486 80 1.7542074 -18.1453527 81 29.4583025 1.7542074 82 26.4810685 29.4583025 83 5.5533270 26.4810685 84 8.3767472 5.5533270 85 34.2952074 8.3767472 86 -12.4481474 34.2952074 87 -4.9185387 -12.4481474 88 4.7077414 -4.9185387 89 -36.1829967 4.7077414 90 46.3715868 -36.1829967 91 21.3439373 46.3715868 92 -35.3502994 21.3439373 93 21.8366375 -35.3502994 94 9.2219209 21.8366375 95 -30.0193117 9.2219209 96 -27.1529999 -30.0193117 97 27.1503059 -27.1529999 98 -14.1235989 27.1503059 99 53.2658604 -14.1235989 100 -13.0744943 53.2658604 101 0.1800645 -13.0744943 102 -17.6961607 0.1800645 103 5.5978203 -17.6961607 104 24.6136452 5.5978203 105 50.7584425 24.6136452 106 -7.4308794 50.7584425 107 -2.7603783 -7.4308794 108 39.6556012 -2.7603783 109 1.6206747 39.6556012 110 31.1727575 1.6206747 111 -30.3077742 31.1727575 112 -11.6151187 -30.3077742 113 23.3490487 -11.6151187 114 5.9721404 23.3490487 115 13.6707214 5.9721404 116 53.6705792 13.6707214 117 -6.2994075 53.6705792 118 -17.0575093 -6.2994075 119 13.0833569 -17.0575093 120 6.3547868 13.0833569 121 -4.4724121 6.3547868 122 0.1270595 -4.4724121 123 19.8618418 0.1270595 124 -9.2932870 19.8618418 125 13.9517068 -9.2932870 126 3.5559531 13.9517068 127 17.8728994 3.5559531 128 38.7346135 17.8728994 129 14.5866653 38.7346135 130 -8.0809840 14.5866653 131 26.1139551 -8.0809840 132 15.5044578 26.1139551 133 -18.6810652 15.5044578 134 3.3459522 -18.6810652 135 13.0603150 3.3459522 136 6.3750315 13.0603150 137 -2.8121736 6.3750315 138 -1.4632008 -2.8121736 139 7.2905488 -1.4632008 140 -12.6574222 7.2905488 141 11.4056710 -12.6574222 142 -27.5424184 11.4056710 143 5.4213876 -27.5424184 144 -14.2946157 5.4213876 145 -4.6522610 -14.2946157 146 -26.5385927 -4.6522610 147 -24.5066871 -26.5385927 148 2.7916986 -24.5066871 149 -21.6762888 2.7916986 150 -8.6191826 -21.6762888 151 -39.1801214 -8.6191826 152 4.4038871 -39.1801214 153 -1.1923269 4.4038871 154 38.3682717 -1.1923269 155 13.0741569 38.3682717 156 -7.0691634 13.0741569 157 4.2147619 -7.0691634 158 -23.3057689 4.2147619 159 -9.7709731 -23.3057689 160 -29.3217508 -9.7709731 161 -26.0627461 -29.3217508 162 -2.4802572 -26.0627461 163 -21.1117760 -2.4802572 164 -19.6601938 -21.1117760 165 19.1617645 -19.6601938 166 6.6936271 19.1617645 167 -41.0571226 6.6936271 168 16.8828828 -41.0571226 169 -18.3293756 16.8828828 170 -24.1159345 -18.3293756 171 37.2293998 -24.1159345 172 -25.1020490 37.2293998 173 30.3225916 -25.1020490 174 62.2096691 30.3225916 175 -22.9967826 62.2096691 176 -7.8565292 -22.9967826 177 -10.8695431 -7.8565292 178 40.9752331 -10.8695431 179 19.9412779 40.9752331 180 11.0298655 19.9412779 181 14.4902936 11.0298655 182 10.4506711 14.4902936 183 -22.8918501 10.4506711 184 7.7760179 -22.8918501 185 14.2390346 7.7760179 186 -0.0859629 14.2390346 187 6.1186315 -0.0859629 188 -9.8486113 6.1186315 189 -10.5583819 -9.8486113 190 -4.8999184 -10.5583819 191 -31.8890057 -4.8999184 192 25.3607282 -31.8890057 193 1.1412466 25.3607282 194 -3.7776210 1.1412466 195 23.9501513 -3.7776210 196 -30.2032551 23.9501513 197 -5.2525540 -30.2032551 198 -17.8527922 -5.2525540 199 4.8151260 -17.8527922 200 -3.4434301 4.8151260 201 -11.5640751 -3.4434301 202 -0.5017807 -11.5640751 203 -11.8903179 -0.5017807 204 -13.8543040 -11.8903179 205 -21.2012720 -13.8543040 206 0.6270486 -21.2012720 207 -18.3472026 0.6270486 208 -10.2179494 -18.3472026 209 -11.1177691 -10.2179494 210 11.3002510 -11.1177691 211 1.3445815 11.3002510 212 -5.1463633 1.3445815 213 0.5802639 -5.1463633 214 -42.2069179 0.5802639 215 -28.9284115 -42.2069179 216 -5.4700684 -28.9284115 217 2.6860424 -5.4700684 218 3.8679796 2.6860424 219 -15.4601311 3.8679796 220 -14.1611577 -15.4601311 221 -13.5949359 -14.1611577 222 11.2206652 -13.5949359 223 -5.2559654 11.2206652 224 -16.1969720 -5.2559654 225 11.1014524 -16.1969720 226 14.7679515 11.1014524 227 0.2416040 14.7679515 228 15.6242078 0.2416040 229 -15.0339511 15.6242078 230 -22.7411287 -15.0339511 231 10.3351804 -22.7411287 232 -15.7843138 10.3351804 233 -6.4731048 -15.7843138 234 -12.0836879 -6.4731048 235 11.8218190 -12.0836879 236 -23.9774989 11.8218190 237 -6.1238652 -23.9774989 238 -1.5638538 -6.1238652 239 -10.8449795 -1.5638538 240 -13.0748203 -10.8449795 241 -15.5232723 -13.0748203 242 8.7038496 -15.5232723 243 -0.8411406 8.7038496 244 -2.0612227 -0.8411406 245 -10.5447249 -2.0612227 246 12.1579796 -10.5447249 247 -14.2372023 12.1579796 248 -1.2053115 -14.2372023 249 5.0377367 -1.2053115 250 -21.1254716 5.0377367 251 5.4386607 -21.1254716 252 21.6261759 5.4386607 253 -24.0623361 21.6261759 254 -22.7959418 -24.0623361 255 2.1393519 -22.7959418 256 14.0536216 2.1393519 257 -2.4567896 14.0536216 258 -5.4299926 -2.4567896 259 7.0300424 -5.4299926 260 -19.3354528 7.0300424 261 21.0578558 -19.3354528 262 0.3606519 21.0578558 263 14.0262342 0.3606519 264 -6.2628653 14.0262342 265 9.5393026 -6.2628653 266 3.7168378 9.5393026 267 12.3107907 3.7168378 268 5.2322414 12.3107907 269 0.1231763 5.2322414 270 -22.6116712 0.1231763 271 -7.8065393 -22.6116712 272 5.3010685 -7.8065393 273 14.7852421 5.3010685 274 8.0267631 14.7852421 275 11.7605705 8.0267631 276 -9.8449705 11.7605705 277 17.2590016 -9.8449705 278 8.1937243 17.2590016 279 -13.9668294 8.1937243 280 -7.4572154 -13.9668294 281 -6.3237008 -7.4572154 282 0.1752709 -6.3237008 283 6.6635265 0.1752709 284 -18.2012721 6.6635265 285 -13.0796936 -18.2012721 286 -3.5183413 -13.0796936 287 5.9766179 -3.5183413 288 -17.9069401 5.9766179 > 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/wessaorg/rcomp/tmp/7fexl1354809784.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/wessaorg/rcomp/tmp/8yhvp1354809784.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/wessaorg/rcomp/tmp/9o2my1354809784.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/wessaorg/rcomp/tmp/10pejh1354809784.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/110g3r1354809784.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12tfd81354809784.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/1386dr1354809784.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14grme1354809784.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/wessaorg/rcomp/tmp/156dek1354809784.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/wessaorg/rcomp/tmp/16q9r71354809784.tab") + } > > try(system("convert tmp/1amv21354809784.ps tmp/1amv21354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/2j2re1354809784.ps tmp/2j2re1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/31tj41354809784.ps tmp/31tj41354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/4cupj1354809784.ps tmp/4cupj1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/5e1ta1354809784.ps tmp/5e1ta1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/6nkix1354809784.ps tmp/6nkix1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/7fexl1354809784.ps tmp/7fexl1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/8yhvp1354809784.ps tmp/8yhvp1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/9o2my1354809784.ps tmp/9o2my1354809784.png",intern=TRUE)) character(0) > try(system("convert tmp/10pejh1354809784.ps tmp/10pejh1354809784.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 13.316 1.026 14.336