Predicted values based on model objects fitted using the instrumental variables regression fitted with IVs generated from the data.

# S3 method for class 'rendo.ivreg'
predict(object, newdata, ...)

Arguments

object

Object of class inheriting from "rendo.ivreg"

newdata

An optional data frame without any instrumental variables in which to look for variables with which to predict. If omitted, the fitted values are returned.

...

ignored, for consistency with the generic function.

Value

predict.rendo.ivreg produces a vector of predictions

See also

The model fitting functions hetErrorsIV, higherMomentsIV.

Examples

data("dataHetIV")

het <- hetErrorsIV(y~X1+X2+P|P|IIV(X1, X2),
                   data = dataHetIV)
#> Residuals were derived by fitting P ~ X1 + X2.
#> Warning: A studentized Breusch-Pagan test (P ~ X1) indicates at a 95% confidence level that the assumption of heteroscedasticity for the variable is not satisfied (p-value: 0.1853). The instrument built from it therefore is weak.
#> The following internal instruments were built: IIV(X1), IIV(X2).
#> Fitting an instrumental variable regression with model y ~ X1 + X2 + P|X1 + X2 + IIV(X1) + IIV(X2).

# returns the fitted values
predict(het)
#>            1            2            3            4            5            6 
#>  -0.56552025   3.12244630  -0.80948698   2.39196041   5.61768450  -1.04569270 
#>            7            8            9           10           11           12 
#>   0.50128456   1.07498165  -2.30762372  -1.91369130  -0.08468394  -1.81110214 
#>           13           14           15           16           17           18 
#>  -1.30504807   1.13459842   2.42779726   1.17432486  -0.11557325   0.97701907 
#>           19           20           21           22           23           24 
#>   0.10770302   1.79067067  -1.13193918   2.49128595  -2.07564610  -2.25734420 
#>           25           26           27           28           29           30 
#>   3.04482546   3.47013141   1.40853010  -0.29961812  -1.75236170   2.22912313 
#>           31           32           33           34           35           36 
#>  -1.42253231   0.97558092  -1.19088181  -2.82546815  -4.12081456   1.71188493 
#>           37           38           39           40           41           42 
#>   0.12775371   1.19969928  -1.17112412   3.19519736   1.56261702   1.91306463 
#>           43           44           45           46           47           48 
#>   6.86311105  -1.53152126  -2.35636007  -4.96530079  -0.83039874   2.54030253 
#>           49           50           51           52           53           54 
#>  -2.20638752   2.20908756   0.08439376   0.93144855  -0.13141119   8.08177610 
#>           55           56           57           58           59           60 
#>  -0.73055987   3.17260469  -1.36484372   0.04248213   2.69958161   0.35879265 
#>           61           62           63           64           65           66 
#>   1.11213771   1.71147736   0.95903795  -0.65647400  -3.04550237  -2.88305055 
#>           67           68           69           70           71           72 
#>  -3.99310826   0.97981780   0.57258672  -3.23127967   0.71578629   1.44190413 
#>           73           74           75           76           77           78 
#>  -3.60952145   1.01572466  -1.10282316   2.79105312   2.81315266  -3.34725091 
#>           79           80           81           82           83           84 
#>   0.40924954   2.00435817  -0.31183261  -0.71463971   1.21032647   5.41422082 
#>           85           86           87           88           89           90 
#>   1.39471382  -0.43679312   0.68147605   7.88360258   0.61295802   2.14582558 
#>           91           92           93           94           95           96 
#>  10.26290099   0.26482373  -0.08591632   1.17505213  -1.05774626   1.50499288 
#>           97           98           99          100          101          102 
#>   0.41591643 -12.31827465  -0.09486627   0.18436803   1.86980014   2.52746478 
#>          103          104          105          106          107          108 
#>  -1.48371531  -1.27783977  -0.76930446  -2.77520189   0.47812535  -2.83439379 
#>          109          110          111          112          113          114 
#>  -0.61297271  -0.35612702   1.29964325   0.85996788   3.03146372   1.09567200 
#>          115          116          117          118          119          120 
#>  -2.81116098   1.03308581   0.25364632  -2.23105199  -1.26423586   1.79509522 
#>          121          122          123          124          125          126 
#>   1.13757242  -2.39948339   0.04712287   3.60478299   5.69073034  -0.32062351 
#>          127          128          129          130          131          132 
#>  -1.42035116   0.64425461   3.30709904   0.18586550   0.13049619  -4.86284194 
#>          133          134          135          136          137          138 
#>   0.59389991   1.73747680  -0.17852628   0.87713034   3.22811592   1.52230044 
#>          139          140          141          142          143          144 
#>   0.41526114  -3.26492035   1.00886754  -1.22744324  -3.27509486  -0.84688461 
#>          145          146          147          148          149          150 
#>   0.41124312   0.86663825   2.91495282   2.10517850   1.24730858   0.69774865 
#>          151          152          153          154          155          156 
#>   0.49345046   0.34789280  -2.15807590  -0.66138294   0.33770877  -1.87089087 
#>          157          158          159          160          161          162 
#>  -1.03416314   2.59375236   3.09231452   2.49739583  -0.23952602   0.87618177 
#>          163          164          165          166          167          168 
#>   2.38022031  -0.08724754   0.75934694   2.80518304   6.59483031  -0.48933506 
#>          169          170          171          172          173          174 
#>   2.42095643   2.14454012  -0.15337728  -2.47569911  -0.13237567  -2.23224282 
#>          175          176          177          178          179          180 
#>  -1.37261933   1.65798055  -2.94511332   1.54428104  -0.84509053   0.43113986 
#>          181          182          183          184          185          186 
#>  -4.75207788   2.20000737   0.82795680  -3.72365781  -1.57511614   3.44466595 
#>          187          188          189          190          191          192 
#>  -2.90862569   0.22764697   2.76416307  -0.12487651   0.11924686 -15.38309830 
#>          193          194          195          196          197          198 
#>   0.72900363   6.54879893  -0.84313219  -0.30795290   0.63862483  -0.89452159 
#>          199          200          201          202          203          204 
#>   4.04323310  -0.41396154   0.11296054   4.28836024  -0.38449203  -2.12691443 
#>          205          206          207          208          209          210 
#>  -0.67590420  -1.94194638  -0.59024080  -1.20994684  -2.10651475   0.47969347 
#>          211          212          213          214          215          216 
#>  -1.38703240   2.85055998   0.07386089  -1.12535914   0.22751128   2.07176144 
#>          217          218          219          220          221          222 
#>  -2.79735399   2.13038318   1.96662426 -11.40463305   1.80257008  -2.80015525 
#>          223          224          225          226          227          228 
#>  -4.99304434   0.44493094   0.13041315   1.36823974  -2.29418420  -0.50895682 
#>          229          230          231          232          233          234 
#>  -2.30744207  -0.43167179   2.33172869   4.82863087  -0.86724804   4.61511770 
#>          235          236          237          238          239          240 
#>  -2.41958979  -3.03774705  -2.07931851   1.12586766   2.44672041   1.21956563 
#>          241          242          243          244          245          246 
#>  -0.16129782  -0.34443120  -0.53101924  -1.51040378  -1.01424815  -3.18907873 
#>          247          248          249          250          251          252 
#>   0.73852966   0.88058924   0.13833274  -0.81926789  -6.49525704  -4.44622025 
#>          253          254          255          256          257          258 
#>   5.22606660   0.63631477   1.99032504   1.99888820  -1.05467359   0.94327277 
#>          259          260          261          262          263          264 
#>   0.80337180   0.61745571   0.39691277  14.89764262   0.31393157   0.72743368 
#>          265          266          267          268          269          270 
#>   0.98929313   1.69468497  -1.00430068  -0.88188210   0.33480368  -2.71158974 
#>          271          272          273          274          275          276 
#>   0.58436926   2.05467754   1.38294275  -1.08180072  -1.30640365   0.49635765 
#>          277          278          279          280          281          282 
#>  -0.44991254   1.75522033   0.42086850  -2.14025068  -0.33057952   7.97063123 
#>          283          284          285          286          287          288 
#>   1.37388527  -5.19875724  -1.02734558   3.09226580  -1.87332082  -2.20630206 
#>          289          290          291          292          293          294 
#>   2.34158694   3.35610882  -2.09026212   2.05687611   0.97583924   5.97260118 
#>          295          296          297          298          299          300 
#>   0.03250750   1.02237369  -2.85400680   2.77432740   3.13076923  -1.67515863 
#>          301          302          303          304          305          306 
#>  -1.65773468  -0.99121119   6.23407615   0.65333051   4.33794849  -0.48790367 
#>          307          308          309          310          311          312 
#>   0.85216828  -2.31726877   0.74716440  -1.15977038   0.91431705  -0.67664964 
#>          313          314          315          316          317          318 
#>   0.56153443   1.82557089  -2.24508805   0.34219434  -3.43764741   0.78687826 
#>          319          320          321          322          323          324 
#>   0.31433213  -2.70682438  -0.25978208   1.04780645  -4.06692260   2.70400535 
#>          325          326          327          328          329          330 
#>   9.17266820  -3.79293282   2.32299286   2.59427011   0.10243924  -2.73287735 
#>          331          332          333          334          335          336 
#>  -1.99162688  -1.67968172   5.39450547   2.43729305   1.42440873  -0.67740061 
#>          337          338          339          340          341          342 
#>   2.47632894  -0.97331651   1.59189680  -0.27150336  -1.21643844   1.26422365 
#>          343          344          345          346          347          348 
#>  -2.76408709  -1.15965779   0.07002779  -2.66803397  -0.10284659  -3.63534714 
#>          349          350          351          352          353          354 
#>   9.25465942  -1.08290841  -7.21337229  -0.34228993   2.00739469  -0.36038937 
#>          355          356          357          358          359          360 
#>  -2.84874404   1.37454806  -0.55226307  -0.94716316   2.19663126  -6.01169705 
#>          361          362          363          364          365          366 
#>   3.69838834  -1.51057266   0.30982987   1.95216198  -3.61176542   0.20788536 
#>          367          368          369          370          371          372 
#>   1.24862969  -3.67775769  -0.66760454  -5.74899762   2.79379869   0.07610930 
#>          373          374          375          376          377          378 
#>  -0.36649820  -1.44025213  -1.29696042   2.72607656  -0.78016879  -0.91628463 
#>          379          380          381          382          383          384 
#>   0.93196828   0.02667090  -2.62563670   0.20559992  -5.68545946   0.54737487 
#>          385          386          387          388          389          390 
#>   4.72611572   2.04006934   1.23521779  10.77489778   1.32511874  -2.31302525 
#>          391          392          393          394          395          396 
#>  -1.91142389   1.36811132  -1.83442169 -20.73173450  -3.98765999   2.07953814 
#>          397          398          399          400          401          402 
#>   2.27070637  -2.29130506  -1.31762794   3.14331301   0.74758127  -0.93071137 
#>          403          404          405          406          407          408 
#>   0.17059976  -0.58100965   4.50415102   1.27087614  -2.59104128  -0.68124674 
#>          409          410          411          412          413          414 
#>  -2.39234011  -1.96449681   1.64914344  -0.30027341   2.89119941   1.82778245 
#>          415          416          417          418          419          420 
#>  -0.71647768   7.35084586   2.02913315  -2.04093946   2.11984837   8.26231216 
#>          421          422          423          424          425          426 
#>  -0.11932034  -0.28132176  -0.22296659   3.03720950   2.59945288  -2.57150837 
#>          427          428          429          430          431          432 
#>   2.28939267  -0.31012786   0.58622136   0.67612830  -1.02953637  -3.94013429 
#>          433          434          435          436          437          438 
#>  -2.15014692  -2.16716069  -2.53424321  -0.56070608  -0.25870577  -3.25380785 
#>          439          440          441          442          443          444 
#>  -0.15554949   0.47740628  -1.33196811  -0.07300957   2.12669253  -0.60131282 
#>          445          446          447          448          449          450 
#>   2.19253863  -3.28480827  -0.83335196   0.39951792   1.33949778   3.18144002 
#>          451          452          453          454          455          456 
#>   3.44010983   1.80555126   0.08963996   2.41752565  -0.44881417   2.67568913 
#>          457          458          459          460          461          462 
#>  -2.68847068  -1.53525526   1.45209775   1.15808571  -1.43172064   1.31699867 
#>          463          464          465          466          467          468 
#>  -2.16731033   0.13184431  -2.94695452   1.04288574   0.92155596  -0.38791163 
#>          469          470          471          472          473          474 
#>  -0.31945564  -0.38846784   0.20811560  -0.86651709  -1.71611476   3.60980566 
#>          475          476          477          478          479          480 
#>   0.42974431  -0.02777306  -0.69170687  -1.54075319  -3.20597396   0.12654587 
#>          481          482          483          484          485          486 
#>  -0.07498950   3.25020672  -0.19701470  -0.59458993  -2.55899654   3.68775706 
#>          487          488          489          490          491          492 
#>   0.53537011  -1.61042478   0.80251050   1.31306083  -1.15342017   0.39800981 
#>          493          494          495          496          497          498 
#>  -2.09660616   4.27498548   3.88447922  -0.75376783  -2.70434085   0.39853678 
#>          499          500          501          502          503          504 
#>   0.55716337   2.31138830   1.67165714   2.39792695   0.39268905   1.39887465 
#>          505          506          507          508          509          510 
#>  -2.82745225  -0.51667676   1.43273706  -2.19744416   1.20381431   1.42498401 
#>          511          512          513          514          515          516 
#>   3.03872669  -5.18495972  -0.33808271   4.61600265  -2.04836604   3.84117149 
#>          517          518          519          520          521          522 
#>   7.65759644  -4.76880144   1.68828993  -0.65127049  -0.93972587   0.12463427 
#>          523          524          525          526          527          528 
#>   3.83807205   0.94232162   2.19128124   1.19244286   0.19382071   1.25407760 
#>          529          530          531          532          533          534 
#>   3.43639171   0.48524205  -0.77113728   2.62889924   1.13822319   0.44316033 
#>          535          536          537          538          539          540 
#>   2.19171518   1.25304394   0.98195867   3.02910891   0.31025476   1.34702088 
#>          541          542          543          544          545          546 
#>   2.98721463   1.79648075   1.86286579  -1.23263943  -0.21163504   2.61294053 
#>          547          548          549          550          551          552 
#>  -2.35406646  -4.66017736   0.23115117   1.46429070  -1.20135258  -1.20379726 
#>          553          554          555          556          557          558 
#>   2.23407777  -1.19965786   1.05772911  -0.17628313   0.66475788   1.95982682 
#>          559          560          561          562          563          564 
#>   4.38909269  -3.02643293  -2.34598068  -1.43873645  -1.77773160   1.07059844 
#>          565          566          567          568          569          570 
#>  -3.39558533   1.51973310   3.11759913   0.83774297  -2.50624789  -2.72834567 
#>          571          572          573          574          575          576 
#>   2.60734314   1.32719051   4.16847664  -3.16142248  -0.45335017  -0.78761387 
#>          577          578          579          580          581          582 
#>   0.10056879  -1.48940192  -0.08967591  -0.66462322  -0.87682782   6.94693698 
#>          583          584          585          586          587          588 
#>   2.08696611  -0.32761091   0.47930060   3.02955881   1.64212337   0.78781096 
#>          589          590          591          592          593          594 
#>  -2.44446393  -0.57502579   0.83136203  -4.52988003  -3.18219519  -0.99252457 
#>          595          596          597          598          599          600 
#>  -0.87476031   3.94029378   1.47754733   3.53970464  -2.94026357   2.42474532 
#>          601          602          603          604          605          606 
#>  -5.37300000   1.15192730   0.18901451   1.33106883   1.42143641   1.84273159 
#>          607          608          609          610          611          612 
#>   0.72270708  -3.46919174  -0.66159491   0.63114460   0.50749803   0.42684152 
#>          613          614          615          616          617          618 
#>   4.45106578   2.85745374   1.19841362 -18.09357569   3.84741899  -4.89581977 
#>          619          620          621          622          623          624 
#>   5.09876741   3.77678621  -0.30257183  -2.25491528   5.22223755  -4.84760091 
#>          625          626          627          628          629          630 
#>   0.58465200  -1.38707791  -5.87678353   1.92483058   0.30576663  -3.99234733 
#>          631          632          633          634          635          636 
#>  -0.19643618  -0.77867803   2.58524156   1.32105299   0.09692599  -0.80676448 
#>          637          638          639          640          641          642 
#>   3.65711956  -1.21106176   0.49278000   1.47463104   2.09585824   0.37856570 
#>          643          644          645          646          647          648 
#>   0.21115294   0.02534397   2.57459733   0.19209042   1.93456266  -0.11137955 
#>          649          650          651          652          653          654 
#>  -0.05755557  -1.27052462   2.39609462   2.95920842   0.02495425   1.37477634 
#>          655          656          657          658          659          660 
#>   2.31912418   0.64565686  -2.40303575   1.00410466   0.57624410  -0.18512207 
#>          661          662          663          664          665          666 
#>   0.51993706   2.68512951   1.99906166  -0.15080839  -0.56862801   2.77123847 
#>          667          668          669          670          671          672 
#>  -0.01995838   2.83625673  -3.30834474   0.96061621  -0.80082862   3.87077260 
#>          673          674          675          676          677          678 
#>   3.39216837   2.98483167   1.00747084   3.97886555  -0.09953164  -1.43041737 
#>          679          680          681          682          683          684 
#>  -5.69277297  -0.43398978   1.48682511  -1.60246202   0.95981498  -0.63601445 
#>          685          686          687          688          689          690 
#>  -2.90381027   6.37379241  -0.62274854   0.52002606   2.27324330   2.79782639 
#>          691          692          693          694          695          696 
#>  -0.30508132  -0.29993172  -1.73867295   1.32880851   4.12056832  -4.19183466 
#>          697          698          699          700          701          702 
#>  -1.25171053  -2.06573593   1.35943892   1.42711442  -2.30555789  -0.07510239 
#>          703          704          705          706          707          708 
#>  -2.71909214  -1.95482641  15.34647270   0.16668944  -1.82699016  -3.80114806 
#>          709          710          711          712          713          714 
#>   2.60013990  -1.78725494  -1.02501122  -0.13887771   0.42321514  -0.15562350 
#>          715          716          717          718          719          720 
#>   0.84796008   0.05467896   0.08514086   5.53314808   0.80731388   0.82914162 
#>          721          722          723          724          725          726 
#>  -3.18950292   4.36539776   1.00408413  -2.01092137   0.13803979  -0.87249258 
#>          727          728          729          730          731          732 
#>  -0.01255721   2.17326688   1.96781192   0.84312753  -0.95130712  -1.96716413 
#>          733          734          735          736          737          738 
#>   2.55147355  -5.17402429   0.07777755  -0.39098481   1.35008458  -0.20734249 
#>          739          740          741          742          743          744 
#>  -2.41172992   2.94063951   0.82006529  -1.72468802   0.67639349   1.77168724 
#>          745          746          747          748          749          750 
#>  -0.46755277   2.59157693  -0.09916098   0.59094615  -0.77403670  -0.37304420 
#>          751          752          753          754          755          756 
#>  -8.46365970  -0.96723667   0.35377997  -0.24026653   0.93311682  -1.06726581 
#>          757          758          759          760          761          762 
#>   1.71144354   2.74182580  -0.47544373   1.26579385   4.60111807   0.70980466 
#>          763          764          765          766          767          768 
#>  -1.18762673  -5.73316166   1.74915499   1.51502140 -17.25117875   2.29457914 
#>          769          770          771          772          773          774 
#>   0.45321205  -6.78770907   0.89154329   2.16888887  -0.79432744   0.65546668 
#>          775          776          777          778          779          780 
#>   0.10825045   1.09148188  -3.96786448   3.33757032  -3.35557382  -0.56592465 
#>          781          782          783          784          785          786 
#> -18.50069801  -3.03355630  -1.92376330   1.78974517   3.04440912   0.56212009 
#>          787          788          789          790          791          792 
#>  -1.45818522  -4.25536163   0.41447036   2.50011684   2.16521386  -0.22410926 
#>          793          794          795          796          797          798 
#>  -0.47663229  -1.33517607  -2.53428285   0.43033044  -1.38404362  -1.52503548 
#>          799          800          801          802          803          804 
#>   1.82975908  -0.21059102  -1.86302374   0.55539279   2.52660664  -1.01479561 
#>          805          806          807          808          809          810 
#>  -0.46184054  -1.23375489   1.21887093   1.72136865  -1.09289065   0.27686270 
#>          811          812          813          814          815          816 
#>  -2.52665993  11.33764097  -0.89492391  -0.38830347   0.06000078  11.08029729 
#>          817          818          819          820          821          822 
#>   1.54265053   0.51337385  -0.17294429   1.16407594   5.67786614  -1.75013327 
#>          823          824          825          826          827          828 
#>  -0.13913970   0.69728335  -1.33943571   2.94168025   0.18169794  -3.97977912 
#>          829          830          831          832          833          834 
#>  -2.22359133  -1.32802364  -0.05439268   7.72701040   2.84976109  24.34838751 
#>          835          836          837          838          839          840 
#>   3.73714244  -0.62502249  -1.14157900  -2.83997937   0.90378679  -2.16671960 
#>          841          842          843          844          845          846 
#>  -0.65563097  -0.62838291  -0.24711047   0.29803447   1.00519151  -8.47890279 
#>          847          848          849          850          851          852 
#>   3.45678343   1.54766194   1.30614916   1.12870579   1.17006178  -0.07901649 
#>          853          854          855          856          857          858 
#>   0.89979446   3.22595020   1.84117594   1.46144467   1.21088418  -0.82432642 
#>          859          860          861          862          863          864 
#>  -1.95093463  -0.72256559   0.43696378  -0.53772831   1.03170752  16.67026085 
#>          865          866          867          868          869          870 
#>  -3.12044095  -1.09428311   5.24087603  -0.44123338   0.69902872  -0.48205848 
#>          871          872          873          874          875          876 
#>   2.86849311   6.83037878  -5.11982435  -0.88010109  -0.88942534   1.31182834 
#>          877          878          879          880          881          882 
#>   6.23711432  -0.07028954   0.49347611  -3.06366791  -3.62214557   5.39669773 
#>          883          884          885          886          887          888 
#>   5.82735867   2.65185181  -1.78430135   1.49882865   1.14372090   1.98069318 
#>          889          890          891          892          893          894 
#>  -1.02422493   0.90501231  -3.83150539   3.72801123  -1.72427635  -1.64854185 
#>          895          896          897          898          899          900 
#>  -0.87834901   2.62004307  -0.06785896   0.67985066   1.01086319  -2.45573768 
#>          901          902          903          904          905          906 
#>  -0.92886361   1.52280027  -0.33201397  -0.39549156   1.09798722   0.29034829 
#>          907          908          909          910          911          912 
#>   2.10390145  -0.04991450  -0.62887266   0.61219498   0.46305985   1.68145137 
#>          913          914          915          916          917          918 
#>   4.53498461   3.75704339  -1.23052596   0.17803062   1.45879732   0.19341773 
#>          919          920          921          922          923          924 
#>   0.52647405  -3.72325081  -1.01405939   2.66795856   2.26612103   0.01601578 
#>          925          926          927          928          929          930 
#>   5.09766155   3.43182544   4.04888130   0.54369518  -0.70237274   0.10511239 
#>          931          932          933          934          935          936 
#>  -0.67246782   2.31995007  -3.46921354  -1.46289343  -1.44698442   0.85295089 
#>          937          938          939          940          941          942 
#>   0.75173339   2.16999196   1.84521483  -3.29480464   3.59102651   7.18345457 
#>          943          944          945          946          947          948 
#>  -4.14447923   2.69918942   0.79568802  -0.38586956   1.15415785   3.89650353 
#>          949          950          951          952          953          954 
#>  -2.31891910   4.76671946   4.35909849  -2.29901436  -1.29640651  -1.70922224 
#>          955          956          957          958          959          960 
#>  -0.56113447  -1.17047318   3.89638322   0.05405475   0.91146577  -1.34546334 
#>          961          962          963          964          965          966 
#>  -1.96646421   2.07210848   2.74534051  -1.39785408   3.11466413   3.18983576 
#>          967          968          969          970          971          972 
#>   2.36378398   1.26653485  -0.83425452  -4.36701002  -3.14782869  -3.08761033 
#>          973          974          975          976          977          978 
#>  -0.36817928   1.31578968   3.31105954  -0.41426156   0.29718678  -1.42391144 
#>          979          980          981          982          983          984 
#>   0.15221252  -0.82613948 -23.64584426  -1.51329522   0.81003925  -0.68645924 
#>          985          986          987          988          989          990 
#>  -1.09225526   0.40089476  -1.10778515   0.03828538   0.25101521   1.77253570 
#>          991          992          993          994          995          996 
#>   1.56655545   1.23491457  -0.81582894  -3.48431756  -1.50514821   0.23480144 
#>          997          998          999         1000         1001         1002 
#>  -0.86435971   3.41003439   0.97599264  -2.15418617   0.50123526   2.70922627 
#>         1003         1004         1005         1006         1007         1008 
#>   2.94387496   4.99123007   7.72993614  -1.29961784   3.54138376  -0.76530968 
#>         1009         1010         1011         1012         1013         1014 
#>  -0.08915500   0.71117982  -1.72132513   0.85746800   0.42995060   3.04125342 
#>         1015         1016         1017         1018         1019         1020 
#>  -2.81979273  -1.01543039  -0.19656416   0.78243702   1.10604714  -1.53939584 
#>         1021         1022         1023         1024         1025         1026 
#>  -1.01862500   5.70285810  -0.70278368   0.42447249   1.59115557   0.59158065 
#>         1027         1028         1029         1030         1031         1032 
#>  -0.12300649   0.09320467   4.87490044  -1.40519462  -4.50388617  -0.63929356 
#>         1033         1034         1035         1036         1037         1038 
#>  -2.03026760  -1.41085821  -1.40957399   1.04556675   0.92922416   7.78624815 
#>         1039         1040         1041         1042         1043         1044 
#>  -2.27909257  -2.43405593  -1.77124007   3.82781257  -0.45997289  -0.33138955 
#>         1045         1046         1047         1048         1049         1050 
#>   2.56998846  12.00485342  -0.54094125   0.79344773  -0.03051454  -0.93634035 
#>         1051         1052         1053         1054         1055         1056 
#>   0.31598382  -1.41816360  -1.62758973  -1.73743193  -8.51653942   0.70581084 
#>         1057         1058         1059         1060         1061         1062 
#>   2.11061295   2.10595793  -0.89884629   0.96170321  -2.46729078   2.64929939 
#>         1063         1064         1065         1066         1067         1068 
#>  -0.78598329   3.52601469  -4.73776866  -2.30605735   2.44719620  -7.21990631 
#>         1069         1070         1071         1072         1073         1074 
#>  -3.42107052   1.97025511   1.13126651  -2.85695967  10.03474987  -0.98943807 
#>         1075         1076         1077         1078         1079         1080 
#>   2.02699595   2.69844100   1.80912688  -0.63605483  -1.58479904  -0.85789537 
#>         1081         1082         1083         1084         1085         1086 
#>   2.52393567  -4.63449348 -18.27463480  19.34192626   1.01459999   0.57038635 
#>         1087         1088         1089         1090         1091         1092 
#>   1.25541696  -6.13473117  -4.34832185  -0.58261184  -3.45075850  -0.14543515 
#>         1093         1094         1095         1096         1097         1098 
#>   1.25177987   1.52655602   2.05486006   0.39672114  -0.50414993  -1.07539448 
#>         1099         1100         1101         1102         1103         1104 
#>   0.99309477   0.77413825   2.49305476  -4.50853466   2.33147953   1.32850927 
#>         1105         1106         1107         1108         1109         1110 
#>   0.94721491   0.67809414   2.50036385  -1.83021271  -1.37859229   0.13502734 
#>         1111         1112         1113         1114         1115         1116 
#>  10.54345957  -0.25402123  -2.17688789   0.41761964   4.90248513  -2.36996843 
#>         1117         1118         1119         1120         1121         1122 
#>   8.88751760   0.64687226   0.45609928  -1.60477976   2.42320961  -1.70608802 
#>         1123         1124         1125         1126         1127         1128 
#>   0.17710756  -2.55436255   0.18547911  -1.84136063  -1.01419221   2.01200805 
#>         1129         1130         1131         1132         1133         1134 
#>   0.54003368   0.56854381   0.15150656  -0.72706086   0.78477322   0.12829696 
#>         1135         1136         1137         1138         1139         1140 
#>   2.20232763  -4.20754775   1.30833306  -1.09374722  -3.37235272  -0.17846695 
#>         1141         1142         1143         1144         1145         1146 
#>   2.53273374  -1.65031753   2.41552549   1.74725496  -1.21141000   2.93595867 
#>         1147         1148         1149         1150         1151         1152 
#>  -3.48740591   1.38724337  -1.67151951   1.01607785  -9.39932801   3.73095707 
#>         1153         1154         1155         1156         1157         1158 
#>   0.11655170  -0.41100220  -2.13473998  -0.44878131  -1.99789820   3.42980667 
#>         1159         1160         1161         1162         1163         1164 
#>  -3.70362818  -0.25097109   3.45891408   3.11510732   2.04461858   2.57811354 
#>         1165         1166         1167         1168         1169         1170 
#>   1.13951313  -1.85140867  -1.21675056  -0.83052047   2.13121022   0.05377393 
#>         1171         1172         1173         1174         1175         1176 
#>  -0.02728167   0.06900366  -3.16183149   3.63535859  -1.34795532  -1.95890722 
#>         1177         1178         1179         1180         1181         1182 
#>   3.95928549   2.98496657  -1.08513199  -0.53685347   0.55332165  -3.51463932 
#>         1183         1184         1185         1186         1187         1188 
#>   1.79864541   1.01943251  -2.18174093   0.10797495   1.21496112  -0.35677387 
#>         1189         1190         1191         1192         1193         1194 
#>  -0.01897538  -1.48527376  -0.52640061   0.33041779   2.67251912   3.26232669 
#>         1195         1196         1197         1198         1199         1200 
#>   0.77404571  -1.87304165   0.53387967  -3.68201415  -0.48345563  -0.39029926 
#>         1201         1202         1203         1204         1205         1206 
#>   0.44285269  -1.04242934  -4.24765652  -2.24372110  -3.36785452  -1.48347439 
#>         1207         1208         1209         1210         1211         1212 
#>  -2.19074439  -1.62230049   2.08704307   5.12783015   0.48369413  -0.85791648 
#>         1213         1214         1215         1216         1217         1218 
#>   5.85874998   5.31783542   0.42632876   1.29493410   3.31808428  -0.86040234 
#>         1219         1220         1221         1222         1223         1224 
#>  -2.80528236   3.16722280  -1.82261059  -0.66046968  -0.18746643   0.99512906 
#>         1225         1226         1227         1228         1229         1230 
#> -11.89923029  -5.14085479   2.17018629   0.19919693  -4.93880611   2.83973378 
#>         1231         1232         1233         1234         1235         1236 
#>   0.95585429   2.12585748  -2.62473976   2.01305677   1.05121998  -2.98246167 
#>         1237         1238         1239         1240         1241         1242 
#>   0.90508926  -0.03673605   5.06071819  -1.43467672  -2.36015470  -1.88411698 
#>         1243         1244         1245         1246         1247         1248 
#>  -1.45534417  -2.13633218  -9.91631364  -0.16663850   3.06010415   0.89379062 
#>         1249         1250         1251         1252         1253         1254 
#>   1.11732899   3.38766879  -0.42572978  -3.98491372  -1.77790444   1.04076678 
#>         1255         1256         1257         1258         1259         1260 
#>  -3.05224255   1.41043845  -0.40058527  -0.76564958   0.77980436  -1.09678883 
#>         1261         1262         1263         1264         1265         1266 
#>   0.61067631   3.40010338  -1.32953221  -1.24687157   2.24118294  -1.72528422 
#>         1267         1268         1269         1270         1271         1272 
#>   0.14182092   0.71010529  -2.01041468  -0.93120486   4.82052359  -1.02356294 
#>         1273         1274         1275         1276         1277         1278 
#>   0.32084404   1.81253028  -0.71354456   0.40884476  -1.51603462  -3.63098766 
#>         1279         1280         1281         1282         1283         1284 
#>   1.67147176  -1.72268443  -1.64730589  -0.53717849  -0.17818160  -3.12478666 
#>         1285         1286         1287         1288         1289         1290 
#>  -1.68578324   1.21322104  -2.27099775   0.11429994  -3.51513288  -1.80263513 
#>         1291         1292         1293         1294         1295         1296 
#>  -2.63226005   2.75373928  -0.47658110  -6.33089872  -0.17103573   5.63000607 
#>         1297         1298         1299         1300         1301         1302 
#>  -4.42247526  -0.15215606  -0.83525826  -2.12605590   2.90407602  -3.16797088 
#>         1303         1304         1305         1306         1307         1308 
#>  -2.68331866  -3.26609050   3.63508725  -0.24288718  -0.72621692  -1.24322068 
#>         1309         1310         1311         1312         1313         1314 
#>   0.41279571   1.69373688  -0.18373637   2.00120491   2.10734079   0.44179348 
#>         1315         1316         1317         1318         1319         1320 
#>  -0.35804511  -9.21550443  -0.63371917  -3.46283530  -1.44652735   1.80454325 
#>         1321         1322         1323         1324         1325         1326 
#>  -3.67331200  -2.42236438   4.95220302   2.25027467   5.45987607  -2.62315407 
#>         1327         1328         1329         1330         1331         1332 
#>   0.55679720   0.88138221   2.38028318   0.94627936   4.14503627  -1.54872435 
#>         1333         1334         1335         1336         1337         1338 
#>   1.71706564   0.55751905  -1.05424430  -0.47002331   2.93333879   0.23996178 
#>         1339         1340         1341         1342         1343         1344 
#>  -2.52851842  -0.78637646   0.94127571   1.45624781   1.40282391  -0.02535804 
#>         1345         1346         1347         1348         1349         1350 
#>  -1.70708036  -5.04093328   1.75136862  -3.75874615   2.26241615  -0.12842424 
#>         1351         1352         1353         1354         1355         1356 
#>  -0.99668329  -3.06678480   1.34506947   0.01062141   1.07909447   1.46453600 
#>         1357         1358         1359         1360         1361         1362 
#>  -0.17733004   2.38942078   1.27781914  -6.63449392   8.40271769  -1.31176939 
#>         1363         1364         1365         1366         1367         1368 
#>  -1.53046436  -3.55067282  14.82858014   0.83071652   0.79906644  -0.66153298 
#>         1369         1370         1371         1372         1373         1374 
#>  -1.96877222  -3.22586749   3.20206294   2.95772799  -2.05276964  -3.77114455 
#>         1375         1376         1377         1378         1379         1380 
#>   1.44381192   1.16610732  -0.47133158  -1.84503690   0.67461673   0.89732371 
#>         1381         1382         1383         1384         1385         1386 
#>   1.11441677  -0.95302122   0.84106840   1.69841024  -0.09753595   1.88797559 
#>         1387         1388         1389         1390         1391         1392 
#>   4.10022703  -2.74959954   3.69661132  -1.83718311   0.10178969   2.65803371 
#>         1393         1394         1395         1396         1397         1398 
#>   0.83223954  -2.23718848   0.36834534   1.30986165   0.97998408  -0.17435327 
#>         1399         1400         1401         1402         1403         1404 
#>  -2.18315052   3.06331476  -0.41624989  -4.34263190   0.01995511  -2.47099698 
#>         1405         1406         1407         1408         1409         1410 
#>  -0.16632966  -3.43139280  -1.09307606   1.55935654   0.72557185   2.54673644 
#>         1411         1412         1413         1414         1415         1416 
#>  -0.98968789   0.74584649  -0.27614751   2.85275690   2.13870063  -4.65971984 
#>         1417         1418         1419         1420         1421         1422 
#>   2.21248542  -8.23438950  -1.75802800  -4.88630101   1.33114427   4.04958420 
#>         1423         1424         1425         1426         1427         1428 
#>  -0.78643760  -0.15760218  -2.87052377   0.72707428  -2.25430321   2.90889202 
#>         1429         1430         1431         1432         1433         1434 
#>  -2.63739434   3.13716305  -1.78035506   1.74229090  -1.19059975  -2.05571883 
#>         1435         1436         1437         1438         1439         1440 
#>  -0.10060860   2.22818200   1.99652289   0.56491261  -2.19550618   0.40438260 
#>         1441         1442         1443         1444         1445         1446 
#>  -2.08895666   0.59591881  -1.06730226   1.55653193   0.16526889  -3.43512072 
#>         1447         1448         1449         1450         1451         1452 
#>   3.39774316  -0.29965618   3.56302977 -11.58801172   0.87741615   2.34668603 
#>         1453         1454         1455         1456         1457         1458 
#>  -1.75015332   0.19283731   0.77275726   0.65333872  -0.69965959  -2.06780339 
#>         1459         1460         1461         1462         1463         1464 
#>   0.84139308  -1.27058475   2.45944556   0.15869695  -0.32248807   0.52210490 
#>         1465         1466         1467         1468         1469         1470 
#>  -2.23980858   5.51556167  -5.36130371   0.42703426  -4.00418542  -0.49725927 
#>         1471         1472         1473         1474         1475         1476 
#>  -2.17377135   3.16570656   2.65350095   4.90714607  -1.27450799  -3.45799441 
#>         1477         1478         1479         1480         1481         1482 
#>  -2.13274934   0.60349745  -0.23083445   0.86826187  -0.78948289   0.83906852 
#>         1483         1484         1485         1486         1487         1488 
#>   8.87858649   0.96860209   0.44659961   1.22045741  -0.14248835   1.00354832 
#>         1489         1490         1491         1492         1493         1494 
#>   1.95531037  -3.57741710   0.58785774   1.22216415   2.14210425  -3.91172106 
#>         1495         1496         1497         1498         1499         1500 
#>   1.73991557  -0.49785220  -0.40281144   0.57756296   0.15796864   0.05027422 
#>         1501         1502         1503         1504         1505         1506 
#>  -7.42280832  -4.07769679   3.67765041   0.99461751   1.41060811   1.51601955 
#>         1507         1508         1509         1510         1511         1512 
#>   1.69151773  -1.92415905  -3.19697226  -4.46924116   2.00086166  -1.86066711 
#>         1513         1514         1515         1516         1517         1518 
#>  -0.83022553   0.55680214  -2.26761991   2.59553409   3.80356199   1.52387080 
#>         1519         1520         1521         1522         1523         1524 
#>  -2.14042375   0.77636049  -3.43133593  -0.89708308   0.67256133  -1.21599193 
#>         1525         1526         1527         1528         1529         1530 
#>  -0.86184694   0.71786251   0.30982216   2.95925538   1.06842522   0.27009284 
#>         1531         1532         1533         1534         1535         1536 
#>  -1.39321882   1.37658730   2.27558572  -2.11533450   4.52315630  -8.81186676 
#>         1537         1538         1539         1540         1541         1542 
#>  -0.92310567   0.89739132   0.18039964  -0.14162291  -4.46277015   0.35218038 
#>         1543         1544         1545         1546         1547         1548 
#>  -0.79657067  -0.01367512   0.90546558   1.56608946   3.81996918   0.32330581 
#>         1549         1550         1551         1552         1553         1554 
#>  -0.28161807  -0.66063020  -0.91972274   1.86942340  -0.60974539  -0.93563675 
#>         1555         1556         1557         1558         1559         1560 
#>  -0.87263869  -0.08121675   1.87945026   0.36873276   1.03471469   0.93765602 
#>         1561         1562         1563         1564         1565         1566 
#>   3.42893412   3.08750354   2.11184318  -1.37349640  -0.88327131  -4.77667691 
#>         1567         1568         1569         1570         1571         1572 
#>   1.64898642  -1.89134937   2.02154337  12.20633500  -6.21225464   3.41008418 
#>         1573         1574         1575         1576         1577         1578 
#>   0.13677502   3.05829539   1.33502529   1.24465687   3.24950167   1.28381751 
#>         1579         1580         1581         1582         1583         1584 
#>   3.52637634  -1.85656132   0.92314655 -19.81828747   2.32182995   2.93206252 
#>         1585         1586         1587         1588         1589         1590 
#>  -3.57251456  -2.55057786  -6.90426414   5.84673430   1.14894879  -0.31325155 
#>         1591         1592         1593         1594         1595         1596 
#>   7.88130906   2.26738320   1.52763362 -22.18364015  -0.67342514  -1.91596161 
#>         1597         1598         1599         1600         1601         1602 
#>  -2.07197834   2.56394366   1.89429109   4.28757850  -1.98428146  -2.35305269 
#>         1603         1604         1605         1606         1607         1608 
#>  -0.54959292  -1.03834939   0.70044963  -2.59633394   0.58385860   3.17728275 
#>         1609         1610         1611         1612         1613         1614 
#>   0.12090413   0.38107716  -0.59663921   0.47590935  -0.05719810   0.21233348 
#>         1615         1616         1617         1618         1619         1620 
#>   0.03390942  -2.60690448   4.84912259   1.21003343   0.16877826  -1.14725418 
#>         1621         1622         1623         1624         1625         1626 
#>  -1.76833348  -4.01772421  -0.38291172  -3.43360390   3.29518170   2.05746444 
#>         1627         1628         1629         1630         1631         1632 
#>  -0.54182298   9.50071623   3.65505086   1.31784312   1.06060510   0.21783693 
#>         1633         1634         1635         1636         1637         1638 
#>  -2.55875191  -1.14413604  -3.99778286  12.01791650   1.05512304   1.33675999 
#>         1639         1640         1641         1642         1643         1644 
#>   1.98352181  -0.42966807   0.34438871   1.78382211   1.39280711   1.07797159 
#>         1645         1646         1647         1648         1649         1650 
#>  -2.70657085  -3.66235955  -0.30763471  -0.06654536  -1.05768939   0.92749649 
#>         1651         1652         1653         1654         1655         1656 
#>  -1.42236225   2.09348082   3.41340702   0.89180871  -2.95450041   1.80075277 
#>         1657         1658         1659         1660         1661         1662 
#>   3.09643430   0.57524897   3.91461458  -7.47981843   5.85345729  -3.70641329 
#>         1663         1664         1665         1666         1667         1668 
#>  -0.85762069  -0.82407386   0.39095296   0.72094195  -0.96367063   1.28877788 
#>         1669         1670         1671         1672         1673         1674 
#>   3.00030573   1.59744567  -2.58530126  -3.07959415   5.12947296  -0.79550211 
#>         1675         1676         1677         1678         1679         1680 
#>   4.59731758   2.21198410  -0.42874124   8.10707928   0.17478876  -0.78456531 
#>         1681         1682         1683         1684         1685         1686 
#>  -0.58062658   0.98720056  -2.91740157  -0.39326331  -0.62107080   1.67742179 
#>         1687         1688         1689         1690         1691         1692 
#>  -0.19730096 -12.16753522  -7.94001253   0.62669986  -0.13603260  -5.83681763 
#>         1693         1694         1695         1696         1697         1698 
#>  -2.57921086   2.14522960  -1.05942534  -1.79562930  -1.26692687   1.30429187 
#>         1699         1700         1701         1702         1703         1704 
#>   0.15881912   1.28544577  -1.99746016   3.88369518  -3.47419101   0.01242217 
#>         1705         1706         1707         1708         1709         1710 
#>   1.11911684   0.98703730  -2.29479119  -0.51860807   0.23550611  -1.70416092 
#>         1711         1712         1713         1714         1715         1716 
#>  -0.41870287  -0.04585932  -0.73706254   1.13074667   4.06513790   1.35775473 
#>         1717         1718         1719         1720         1721         1722 
#>   3.18386786  -3.49931163   1.20209903  -0.58985928   2.40223043   1.62792336 
#>         1723         1724         1725         1726         1727         1728 
#>  -3.77143460   3.14548475   9.96920125  -2.14616105   3.11318884   1.07174563 
#>         1729         1730         1731         1732         1733         1734 
#>   0.12781445   0.00275705   0.41239646  -2.42797755  -0.93308280  -1.00332096 
#>         1735         1736         1737         1738         1739         1740 
#>   0.26034803   0.91977368  -0.33211741   1.57386449   0.65066578   1.71287788 
#>         1741         1742         1743         1744         1745         1746 
#>   0.14537038   1.26555518  -0.50440117   0.14715183   3.72111335  -1.93790743 
#>         1747         1748         1749         1750         1751         1752 
#>  -2.26581704  19.85919418   4.50044150  -4.61281112  -2.68385979  -2.66013563 
#>         1753         1754         1755         1756         1757         1758 
#>   0.37164991   1.52167012  -0.03932375  -0.17662575   1.85642818  -2.26333265 
#>         1759         1760         1761         1762         1763         1764 
#>  -1.24694071  -3.24701795  -1.63979985   0.41536972  -2.40973124   0.98296119 
#>         1765         1766         1767         1768         1769         1770 
#>   1.49301388   4.62070411   0.25677952   1.78297558   1.22235012  -2.06113436 
#>         1771         1772         1773         1774         1775         1776 
#>   2.55879003   0.29869996   0.46894453  -1.93229542  -1.10778983   0.81790485 
#>         1777         1778         1779         1780         1781         1782 
#>   0.05398595  -4.65444669  -0.88489048  -2.60169911   0.34401325  -0.43860597 
#>         1783         1784         1785         1786         1787         1788 
#>  -7.00581543   1.09652186   1.52754143   6.31072371   0.24778803   0.40962012 
#>         1789         1790         1791         1792         1793         1794 
#>   0.85419973   0.11686078   5.47600460  -0.79899800   1.08122357  -0.50218048 
#>         1795         1796         1797         1798         1799         1800 
#>   0.25926486  -1.56914121  -1.31219850  -0.67356691  -0.76791153   3.78281406 
#>         1801         1802         1803         1804         1805         1806 
#>   0.55052137  -2.16103958   1.84052215   0.75948041  -0.21415271  -1.72284318 
#>         1807         1808         1809         1810         1811         1812 
#>   3.29967119   1.39029227  -2.18307037  -3.59693956  -1.13458564   0.98618503 
#>         1813         1814         1815         1816         1817         1818 
#>  -0.13741134  -0.76828421  -0.86087510  -2.86999105  15.03334526   1.53559128 
#>         1819         1820         1821         1822         1823         1824 
#>   0.52662416   6.10538094  -1.17001491  10.93739948  -0.75377092   2.15587581 
#>         1825         1826         1827         1828         1829         1830 
#>   0.94730870  -1.20061812   2.39234486  -0.73915552   0.82403696   1.16595704 
#>         1831         1832         1833         1834         1835         1836 
#>   1.67576876   3.36106051   1.54214777   0.95735796   3.44984992  -0.05577292 
#>         1837         1838         1839         1840         1841         1842 
#>   1.77840121   1.90629181   1.24547298  -0.77791984   0.99072977  -0.54909297 
#>         1843         1844         1845         1846         1847         1848 
#>  -0.28690775   2.59805343   3.68648185   4.32110293  -0.65105400  -5.40050808 
#>         1849         1850         1851         1852         1853         1854 
#>  -0.53907325  -2.39885521   3.44897371  -2.93925461   0.75522550  -4.22003406 
#>         1855         1856         1857         1858         1859         1860 
#>  -7.06868171  -4.06787141   2.03481511   0.59645346  -1.86868262  -2.74306048 
#>         1861         1862         1863         1864         1865         1866 
#>   5.03891170   0.70523428   1.33622530   1.37654552   3.24577686  -3.61809388 
#>         1867         1868         1869         1870         1871         1872 
#>  -0.57198651  -7.25809941  -0.54072259   1.08823264  -1.93263890  -1.06826177 
#>         1873         1874         1875         1876         1877         1878 
#>  16.20547820  -0.90196316  -1.08459966   4.89259098   5.94405735   3.88846158 
#>         1879         1880         1881         1882         1883         1884 
#>   3.09799846  -1.18857403  -0.30450292   0.92402491   2.17225902   3.26641268 
#>         1885         1886         1887         1888         1889         1890 
#>  -0.17292592   0.14614394   2.76463214  -0.12020236  -0.29135948  -3.12980254 
#>         1891         1892         1893         1894         1895         1896 
#>  -0.24951634   1.07765649  -3.04795102  -1.65247070  -1.95428676  -4.83275327 
#>         1897         1898         1899         1900         1901         1902 
#>  -0.01396915  -2.07405112  -0.93169202   0.87068973  -1.01553622  -0.89743061 
#>         1903         1904         1905         1906         1907         1908 
#>  -3.67098534  -4.56777693   2.55316601   2.30945447   3.90021263   1.89564670 
#>         1909         1910         1911         1912         1913         1914 
#>   1.30417023   0.15320287   0.79893478   0.65730249   0.19693627   0.59478339 
#>         1915         1916         1917         1918         1919         1920 
#>  -1.71452944  -2.17157221   3.52133502   1.76072298  -0.15584171  -7.93604251 
#>         1921         1922         1923         1924         1925         1926 
#>  -2.37153309  -2.50636727  -0.97069080  -1.40210364   0.99282252   0.59827674 
#>         1927         1928         1929         1930         1931         1932 
#>   1.05432341  -1.18958248   0.04519607  -1.78890261   5.99872801  -4.16460424 
#>         1933         1934         1935         1936         1937         1938 
#>  -3.10308962   2.90412005   3.34021984   2.44091804   0.56029337 -14.78015261 
#>         1939         1940         1941         1942         1943         1944 
#>  -0.80330502  -1.01466895   2.19053356  -1.28816696  -3.84107429   1.29297522 
#>         1945         1946         1947         1948         1949         1950 
#>   2.30963656  -3.75896026  -1.62256759   3.61430442  -9.41207680  -1.57305866 
#>         1951         1952         1953         1954         1955         1956 
#>  -2.66724098   0.07912203  -7.83534049   2.36732842   0.26153743   1.74958400 
#>         1957         1958         1959         1960         1961         1962 
#>   0.99837458  -1.81834277  -0.19564579  -2.15584573  -0.34413739  -0.72415381 
#>         1963         1964         1965         1966         1967         1968 
#>   1.31223621  -2.86550742  -2.41479321  -5.51202711  -1.13469304  -9.12764904 
#>         1969         1970         1971         1972         1973         1974 
#>  -0.55122013   2.72361882   0.39346653  -6.08803985  -0.19492450   2.04918465 
#>         1975         1976         1977         1978         1979         1980 
#>  -1.03353710   0.31029324   1.74472774   0.18675889  -0.51413751  -0.44827884 
#>         1981         1982         1983         1984         1985         1986 
#>  -0.74050490  -2.20504931  -6.25612745   1.42306333  -0.55850735  -1.10514961 
#>         1987         1988         1989         1990         1991         1992 
#>   1.71192283  -2.94549352   1.40418220   1.87636809   2.18310411   2.88820686 
#>         1993         1994         1995         1996         1997         1998 
#>  -0.55976947  -3.18930143  -1.06671901   1.20916285   3.74795730   0.35999342 
#>         1999         2000         2001         2002         2003         2004 
#>  -0.56361826   1.45204732  -1.53189678   0.07178950   2.92761639  -1.16121446 
#>         2005         2006         2007         2008         2009         2010 
#>  -7.21463156   0.45277217   1.50960857   0.29636264   1.75499133   2.79967191 
#>         2011         2012         2013         2014         2015         2016 
#>   1.03586625   0.03295805   1.80907891 -11.23532182   3.96524607   0.97948422 
#>         2017         2018         2019         2020         2021         2022 
#>   1.22535998  -0.87300058   0.46749021   3.59746835  -0.78049515   3.86235428 
#>         2023         2024         2025         2026         2027         2028 
#>  -0.08600912  -1.14168570  -0.30712781  -0.28262603 -13.74277199  -0.12037152 
#>         2029         2030         2031         2032         2033         2034 
#>  -2.90715894  -2.74682902   0.48869656   3.96007100   1.25732818  -1.47866035 
#>         2035         2036         2037         2038         2039         2040 
#>   0.40937369   4.74746359  -2.23365928  -2.87637868   2.08282008  -0.09582093 
#>         2041         2042         2043         2044         2045         2046 
#>   1.75326486   1.07100325  -0.35893707   1.29887279   2.74833027  -0.01707394 
#>         2047         2048         2049         2050         2051         2052 
#>   0.54236638   3.93136328   0.92118142  -2.02322352   2.18170556  -0.96012047 
#>         2053         2054         2055         2056         2057         2058 
#>  -1.98087305   1.41803689  -3.04637182   1.13444576  -2.06344527   2.86566715 
#>         2059         2060         2061         2062         2063         2064 
#>  -1.33809384   0.58483085   1.27410355   2.30929302  -2.26727245   3.97729539 
#>         2065         2066         2067         2068         2069         2070 
#>   2.72146083   1.09445914   5.52758108   0.81400544  -0.17645183   0.87417776 
#>         2071         2072         2073         2074         2075         2076 
#>  -3.79082892  -0.63049705  -1.69642977   0.72255886   1.98518419   3.88917600 
#>         2077         2078         2079         2080         2081         2082 
#>  -2.37824663  -1.16277457   1.05202948   0.86950602  -0.53813206  -1.00266179 
#>         2083         2084         2085         2086         2087         2088 
#>  -0.91979862   3.69523908   3.01822350  -1.43338107   1.85737061   1.16227685 
#>         2089         2090         2091         2092         2093         2094 
#>   3.37688888   1.90540246  -1.16662416   1.92881213   1.61678265   0.88968822 
#>         2095         2096         2097         2098         2099         2100 
#>  -2.23567110   1.52768835  -2.00282817   2.27449755  -0.79161391  -2.35106860 
#>         2101         2102         2103         2104         2105         2106 
#>  -0.30733686  -7.45733739   1.42099908  -0.49104975   2.06215532   0.09620298 
#>         2107         2108         2109         2110         2111         2112 
#>   5.38172594   0.36040670  -0.04076764  -0.92578486  -3.48949174  -1.05334950 
#>         2113         2114         2115         2116         2117         2118 
#>   3.91929373  -3.11147890   3.31014604  -0.98742640  -0.60692407  -1.77201137 
#>         2119         2120         2121         2122         2123         2124 
#>  -0.98148196   0.28179476   0.79082361   0.38042662  -3.16555085   1.74869405 
#>         2125         2126         2127         2128         2129         2130 
#>  33.32240405  -1.79249245  -1.18262098 -11.69223163   1.62814212  -2.87164084 
#>         2131         2132         2133         2134         2135         2136 
#>   0.02493005  -1.94699608  -4.67409317   0.87112256   1.97043447   4.23675265 
#>         2137         2138         2139         2140         2141         2142 
#>  -0.03157638   4.70811201   1.31098257   0.23450156  -0.90582623  -1.30884183 
#>         2143         2144         2145         2146         2147         2148 
#>   1.68972142  -3.09490486  -2.63577443  -1.94184595  -1.05254472   4.80179239 
#>         2149         2150         2151         2152         2153         2154 
#>   1.90625933   8.72754539   0.26097870   0.77790509   3.55634661   3.66542769 
#>         2155         2156         2157         2158         2159         2160 
#>   0.94420983   3.78127794  -4.02583110   2.51052248  -0.66259287  -1.43216327 
#>         2161         2162         2163         2164         2165         2166 
#>  -2.34725210  -2.19752307   1.17795804   1.10417920   2.14753195   2.45742401 
#>         2167         2168         2169         2170         2171         2172 
#>   1.25239480  -5.03472837  -2.22984706  -1.84750861   2.33046503  -1.54456186 
#>         2173         2174         2175         2176         2177         2178 
#>  -3.16509430   1.01723800  -5.18698914  -5.66611126  -0.51132257  -2.36152323 
#>         2179         2180         2181         2182         2183         2184 
#>  -1.77653086  -4.51009020   1.04375311  -1.57937713  -0.73862955   1.30341590 
#>         2185         2186         2187         2188         2189         2190 
#>   1.55144230   2.85847657  -4.74943039   1.60816081  -0.51670452  -1.53870724 
#>         2191         2192         2193         2194         2195         2196 
#>  -4.61322798  -3.87302371  -0.71129381   1.07644473   2.19303545  -1.69440646 
#>         2197         2198         2199         2200         2201         2202 
#>   1.56506794   2.78264696   2.29785697   1.36261761  -0.34288638   5.24911314 
#>         2203         2204         2205         2206         2207         2208 
#>   3.00915432  -3.80078371  -1.55171469 -13.13683054   0.87048942   0.64299614 
#>         2209         2210         2211         2212         2213         2214 
#>   2.50059231   1.23333960   1.53165788   0.84705150  -2.90564522   3.21675603 
#>         2215         2216         2217         2218         2219         2220 
#>   1.01358102  -0.61749149  -1.23587514  -0.43019143   1.24796283   0.96829914 
#>         2221         2222         2223         2224         2225         2226 
#>   2.68670581  -1.04272979  -1.54896473   0.05737740  -0.29319775   4.67434300 
#>         2227         2228         2229         2230         2231         2232 
#>   1.07008559  -0.72210207  -0.17110265   3.47332204   3.80044164   3.14979419 
#>         2233         2234         2235         2236         2237         2238 
#>   0.81651343  -3.46278291   0.60978864  -0.48372379   5.79702398  -1.11785255 
#>         2239         2240         2241         2242         2243         2244 
#>   1.73340674  -0.92294640   0.70021962  -2.22342231  -0.65347025   0.61830883 
#>         2245         2246         2247         2248         2249         2250 
#>  -0.39707587   0.73869925  -1.61951389  -0.06760942   2.85337869  -1.09534591 
#>         2251         2252         2253         2254         2255         2256 
#>  -1.97887540  -1.44467960   0.88528288   0.58703378 -24.99569017  -0.65226753 
#>         2257         2258         2259         2260         2261         2262 
#>   3.86612173  -1.70012569  -1.01442351  -2.48612533  -2.46435286   3.01958991 
#>         2263         2264         2265         2266         2267         2268 
#>  -0.36391376   2.76716960   1.91735977   1.32512683  -1.16929667   3.38282736 
#>         2269         2270         2271         2272         2273         2274 
#>  -0.62205037   1.19507847  -1.14531787   0.08613595  -1.50715237  -0.58305356 
#>         2275         2276         2277         2278         2279         2280 
#>  -5.27933027  -0.20460114   0.87765113  -0.70140955  -0.73044146  -1.00252129 
#>         2281         2282         2283         2284         2285         2286 
#>   3.92025827   0.31184455  -1.05135938  -2.81829472   2.70570518   4.61649104 
#>         2287         2288         2289         2290         2291         2292 
#>   1.68037321  -0.87501118  -8.39487370   1.70540516  -2.47837377   1.35589963 
#>         2293         2294         2295         2296         2297         2298 
#>  -1.48166466  -0.36790536   0.18515106  -0.99141841  -1.94053649   1.69956883 
#>         2299         2300         2301         2302         2303         2304 
#>   0.24285877   1.96129013   1.06255403  -2.70688461   0.78534375  -2.61839379 
#>         2305         2306         2307         2308         2309         2310 
#>   3.08843024  -2.04801647   3.06161625   0.75412977  -1.09010581  -0.88075331 
#>         2311         2312         2313         2314         2315         2316 
#>  -0.91377638   1.39620797   0.41678298   2.37472514   1.17833743   2.00902541 
#>         2317         2318         2319         2320         2321         2322 
#>  -0.25999358   0.85148708  -1.66063679   1.52491382  -1.00950719   1.45368710 
#>         2323         2324         2325         2326         2327         2328 
#>   1.21054107  -1.32696591  -2.90019697  -3.36262044  -0.37499946   1.53875918 
#>         2329         2330         2331         2332         2333         2334 
#>   0.09697610   0.42603620  -1.56815913  -0.43411833  -1.44031560   2.81522972 
#>         2335         2336         2337         2338         2339         2340 
#>   0.32406220  -3.50223811  -1.04493020  -6.12832217  -1.75830333   0.34693262 
#>         2341         2342         2343         2344         2345         2346 
#>  -2.36804620  -0.72989147   1.39055405   0.01836247   0.76225872  -0.73156591 
#>         2347         2348         2349         2350         2351         2352 
#>  -0.29716138   1.54501140   2.28468823   1.68100387  -0.49528274   1.13261926 
#>         2353         2354         2355         2356         2357         2358 
#>  -0.04124476  -2.00778395   0.38707049   2.25081532   5.34531233   6.45852486 
#>         2359         2360         2361         2362         2363         2364 
#>  -3.05533195  -0.45829002   1.53481733  -4.45912024  -0.66216492  -0.46264025 
#>         2365         2366         2367         2368         2369         2370 
#>   1.27332207  -1.39090508  -0.29770146  -0.81765162   0.07509258  -1.61291996 
#>         2371         2372         2373         2374         2375         2376 
#>   2.19794515  -1.21601324   1.60602945  -0.46400758   1.98983947   0.81662716 
#>         2377         2378         2379         2380         2381         2382 
#>  -1.63505101  -7.17860652  -0.41484429  -0.33910026  -6.88637578  -3.04195361 
#>         2383         2384         2385         2386         2387         2388 
#>   0.02132764   3.69625679   4.53944037  -1.05175785  -0.31903777   0.81028617 
#>         2389         2390         2391         2392         2393         2394 
#>   0.72663959   0.93077519   2.81253002  -2.03199031   1.90015153  -0.70480186 
#>         2395         2396         2397         2398         2399         2400 
#>  -0.86571652   0.74599092  -0.80152051   1.39541354  -1.27171016   4.38201170 
#>         2401         2402         2403         2404         2405         2406 
#>  -2.64715700  -0.59113303   4.03651536   1.08018206   0.93455609  -1.80575521 
#>         2407         2408         2409         2410         2411         2412 
#>  -0.04166992  -2.33214358   1.19550843   1.02128984  -0.73304114  -3.63370637 
#>         2413         2414         2415         2416         2417         2418 
#>  -0.34986163   1.94312788  -1.36207822  -4.46220018   2.34627884  -0.82940901 
#>         2419         2420         2421         2422         2423         2424 
#>   0.78540370  -1.15488179   3.46111648   2.63028555  -1.35714189   0.13354397 
#>         2425         2426         2427         2428         2429         2430 
#>  -0.72143934  -0.76791014   0.79974108  -0.47816465   2.60656734  -0.72794831 
#>         2431         2432         2433         2434         2435         2436 
#>  -2.45588530   0.35033901  -3.51951561   1.69042975   3.30847423   0.85130883 
#>         2437         2438         2439         2440         2441         2442 
#>  -0.20763370  -1.24204908  -1.37361064   1.38710682  -1.80692484   0.20623470 
#>         2443         2444         2445         2446         2447         2448 
#>  -2.08011091   4.11055859   0.65696065   2.37371532   2.40716756  -2.11598345 
#>         2449         2450         2451         2452         2453         2454 
#>  -0.68304560   1.42193727   1.32362202   0.06081438   0.28055921   2.39979456 
#>         2455         2456         2457         2458         2459         2460 
#>   0.54303714   0.02682932   1.74781877   2.50229609  -5.68806559  -0.65884949 
#>         2461         2462         2463         2464         2465         2466 
#>   3.17065237  -0.36811933  -0.14785018  -2.16882950  -0.38644952   0.32447280 
#>         2467         2468         2469         2470         2471         2472 
#>   3.17322737  -0.71027231   2.22763826   4.66041820   0.97399956   1.68369586 
#>         2473         2474         2475         2476         2477         2478 
#>  -0.82755008  -6.74993140   2.76720939  -2.93274315  -3.18430837  -1.38449595 
#>         2479         2480         2481         2482         2483         2484 
#>   6.19823308   1.33447681   0.33833651   2.60760219  -2.87497509   3.58588337 
#>         2485         2486         2487         2488         2489         2490 
#>  -1.53495912   6.29861143  -3.05931738  -3.54543776   2.78812039   1.80105797 
#>         2491         2492         2493         2494         2495         2496 
#>  -1.43197053   0.32020433  18.20946482  -4.35366495  -2.09072873  -1.30947181 
#>         2497         2498         2499         2500 
#>   3.40403907  -4.30723185   0.51166098  -0.77912592 

# using the data used for fitting also for predicting,
# correctly results in fitted values
all.equal(predict(het, dataHetIV), fitted(het)) # TRUE
#> [1] TRUE