contruct_smooth_data creates the design matrix according to the spline function defined in sm_df. The spline design matrix is created using smoothCon from the pacakge mgcv.

construct_smooth_data(sm_df, dat)

Arguments

sm_df

a data frame that has three columns, Func, Var, Args (case sensitive). See example

dat

the raw data set

Value

a list contains

  • datathe contructed design matrix, the intercept and outcome is not included

  • Smooth

Details

[Experimental]

Examples


raw_dat <- sim_Bai(100, 5)$dat %>% data.frame

sm_df <- data.frame(
 Var = setdiff(names(raw_dat), "y"),
 Func = "s",
 Args ="bs='cr', k=5"
)



construct_smooth_data(sm_df, raw_dat)
#> $data
#>         x1.pen1     x1.pen2      x1.pen3     x1.null1      x2.pen1     x2.pen2
#> 1   -0.19826553  0.69235463  0.997994333 -0.422950228  0.051044593  1.06579942
#> 2    0.30532198  1.24447647  0.437883132 -0.932536489  0.382145430 -0.70126164
#> 3    0.15778606 -1.11786774  0.052526664  0.698836529  0.370085949  1.40461320
#> 4   -0.42083122  0.31104368  1.049140878 -0.211267112 -0.463654290  0.01092353
#> 5    0.33312890  1.26382907  0.357255083 -0.979536648  0.194340055 -1.03372542
#> 6    0.30309227  1.24281020  0.443797855 -0.928982459  0.340431081 -1.09906517
#> 7    0.04974291  0.04509368 -4.469366214  2.128814810 -0.408271841 -0.38826879
#> 8    0.24370329 -1.16978218 -0.176891208  0.801800840  0.199837103  1.25384290
#> 9   -0.09108207  0.83214515  0.944632270 -0.511338462  0.290172925 -0.45489170
#> 10  -0.26953938 -0.69893197  0.680843020  0.335151879 -0.467173458 -0.15498383
#> 11   0.26275821 -0.51783286 -3.135289470  1.767211070  0.332024186  0.88811467
#> 12  -0.12961967 -0.86460369  0.516323899  0.448643601 -0.463926772  0.00851032
#> 13   0.39095603  1.29149574  0.129095132 -1.100868951 -0.459953283 -0.21453681
#> 14   0.04067956 -1.02663374  0.276163549  0.587306287  0.234233094 -0.31997666
#> 15   0.43064683  1.04429559 -1.307493021 -1.683371103 -0.432156415  0.17454175
#> 16  -0.44183326  0.25957473  1.047875575 -0.184369564  0.013271598 -0.90455541
#> 17  -0.44906435 -0.38724723  0.882939520  0.152952190  0.359197311  1.40026485
#> 18   0.26102066 -1.17773216 -0.234148797  0.826125555 -0.420058477 -0.35938647
#> 19   0.36094530 -1.18647390 -0.727257937  1.019235912 -0.466074147 -0.01285442
#> 20  -0.03390952 -0.96002020  0.389247454  0.525052117  0.023379135 -0.91267287
#> 21   0.31819050 -1.19375190 -0.467985055  0.920956065  0.167026954 -1.01659324
#> 22   0.32644773 -1.19418097 -0.510018258  0.937330344  0.300375406  0.78314787
#> 23  -0.17885694 -0.81044419  0.576379226  0.409489332 -0.349540572 -0.50244191
#> 24  -0.20025268  0.68959852  0.998815275 -0.421292583 -0.416291608  0.22965059
#> 25   0.30697929 -0.64895201 -2.795857551  1.671887517 -0.375497345  0.34522769
#> 26  -0.26279212  0.59888650  1.021635056 -0.368113010  0.446724157 -0.98890910
#> 27  -0.49740513 -0.22545708  0.951616518  0.066261333 -0.432734747 -0.32414585
#> 28   0.27245719 -1.18233610 -0.274794425  0.843107969 -0.438765679 -0.30520783
#> 29  -0.38362058 -0.52431582  0.807156297  0.229792635 -0.446804504 -0.27669867
#> 30   0.22231127  1.17422666  0.618580222 -0.815629683  0.415662161  1.38856611
#> 31  -0.28634690  0.56237658  1.028688185 -0.347361614 -0.452732665 -0.25207327
#> 32   0.34758254 -1.19174148 -0.633107926  0.984267175 -0.211633612 -0.68980406
#> 33  -0.14245701 -0.85084972  0.532267530  0.438465189  0.382587912 -1.10117257
#> 34  -0.50951231 -0.02429582  1.010279695 -0.038158202 -0.111136508  0.83606625
#> 35   0.31462919  1.25126034  0.412369551 -0.947693216  0.326556455  1.38003945
#> 36  -0.35827986 -0.56797666  0.779054520  0.255197422  0.260335694  1.32030203
#> 37  -0.33474010 -0.60559178  0.753104791  0.277534662  0.012738298 -0.07102803
#> 38   0.36941506 -0.86398694 -2.185547747  1.494810564 -0.462702402 -0.19626531
#> 39   0.24345845 -1.16966213 -0.176115135  0.801467773  0.262042912  1.32204638
#> 40  -0.18264612 -0.80611113  0.580886524  0.406456661 -0.457636883 -0.22786268
#> 41   0.07662335 -1.05646357  0.215088023  0.619126765 -0.451970183 -0.25547494
#> 42  -0.50582419  0.01278579  1.018122362 -0.057209977  0.446723113 -0.99812369
#> 43  -0.21488396  0.66908538  1.004678275 -0.409039034 -0.158624660  0.76255442
#> 44  -0.50050614 -0.20876744  0.957561004  0.057490376 -0.060258333  0.91115796
#> 45   0.13120264 -1.09878389  0.110270522  0.671270739  0.407752579 -1.09286608
#> 46   0.04421245  0.99021427  0.846179495 -0.627243612  0.428433243 -1.07342780
#> 47  -0.05445881  0.30649411 -5.060745821  2.285856551  0.013101048  1.01429090
#> 48   0.23283012  1.18390080  0.599396539 -0.828995327 -0.197275711 -0.70598760
#> 49  -0.43578987 -0.41911953  0.866875855  0.170482901  0.419233825  1.38010029
#> 50   0.39362147 -0.98069940 -1.802808925  1.378787330 -0.467598038 -0.14942673
#> 51  -0.51150069 -0.06345735  1.001019421 -0.017999131 -0.151837802 -0.75449042
#> 52   0.29306620 -0.60658592 -2.907527458  1.703459450  0.270974042  1.33102887
#> 53  -0.33227745  0.48634143  1.039835176 -0.305101824 -0.453599317  0.07883481
#> 54  -0.06734038 -0.92803699  0.435500530  0.498132237 -0.468765537 -0.12996931
#> 55   0.36237953 -0.83626558 -2.269615740  1.519722984  0.370354372 -1.10208576
#> 56   0.31780403  1.25350785  0.403346299 -0.952988291  0.432556356 -1.06658673
#> 57   0.18070332  1.13432706  0.686610202 -0.765823643  0.415985985 -0.81206825
#> 58  -0.30297256 -0.65279977  0.718051114  0.306247033 -0.438664758  0.14899143
#> 59  -0.34508797  0.46374101  1.042277037 -0.292754931 -0.258599227 -0.63339975
#> 60   0.13828960 -1.10398079  0.095355260  0.678464355  0.152341919  1.19681821
#> 61  -0.25620522  0.60884203  1.019509003 -0.373830627 -0.113829213 -0.79232055
#> 62   0.44745603  1.26845831 -0.334588429 -1.313318440  0.425631084  1.31708855
#> 63   0.30651394  1.24536089  0.434690772 -0.934448287 -0.311558865 -0.56162021
#> 64  -0.49584520  0.07533982  1.029341725 -0.089316837 -0.382285878 -0.44346016
#> 65   0.44598326  1.27144176 -0.311043294 -1.303311540  0.005841533  0.19263060
#> 66  -0.40364340  0.34940358  1.048938132 -0.231471402 -0.365472482  0.37011685
#> 67  -0.51167112 -0.09106587  0.993878325 -0.003752315 -0.271387644  0.56884717
#> 68  -0.22519300  0.65438877  1.008617604 -0.400347077 -0.033373716 -0.20257169
#> 69   0.02771088 -1.01550911  0.297005040  0.576176351 -0.451683401 -0.25673385
#> 70  -0.34448886 -0.59031737  0.763844816  0.268410257  0.395800784  1.40632581
#> 71  -0.49949456 -0.21443248  0.955565976  0.060464667  0.256702581  0.64497448
#> 72  -0.51048120 -0.12404261  0.984673201  0.013314095  0.425632743  1.33905239
#> 73   0.43216795  1.28745017 -0.147773662 -1.231905311  0.252805293  1.31250891
#> 74   0.41422053  1.29369968 -0.005620509 -1.166423753  0.420008697 -1.08358029
#> 75  -0.31329115  0.51864282  1.035663915 -0.322910475  0.443081020 -1.03572163
#> 76  -0.15318810  0.75312738  0.977768622 -0.460253204  0.446757916 -0.99405673
#> 77   0.41284062  1.29381994  0.003576923 -1.162064713 -0.441141144  0.13864826
#> 78  -0.03801016 -0.22730892 -4.494766349 -2.664342586  0.348292861 -1.10044482
#> 79  -0.11206991 -0.88301620  0.494161723  0.462552106  0.026579416 -0.91522043
#> 80   0.39596179 -1.13478168 -1.140014986  1.164698023  0.325012096  1.37888316
#> 81  -0.28289952  0.56781375  1.027710363 -0.350431349 -0.210687562  0.67711119
#> 82  -0.04644170 -0.94819067  0.406856597  0.514913062 -0.314730785 -0.55696742
#> 83  -0.33117638  0.48825216  1.039610942 -0.306149810 -0.184147840  0.72138309
#> 84   0.35392560  1.27619483  0.286817308 -1.018641306  0.417675065  1.38421632
#> 85   0.39655589  0.92088273 -1.687992866 -1.812706302  0.208082489 -0.25889361
#> 86   0.25685233 -1.17592040 -0.219920527  0.820125876  0.417738092  1.38406418
#> 87  -0.36025917 -0.56469430  0.781240590  0.253268863  0.411747807 -1.09036534
#> 88   0.06774894  1.01619012  0.824072192 -0.649030923  0.267812852  1.32787759
#> 89   0.19438397 -1.14208139 -0.035995718  0.739712757  0.304408809 -1.08884824
#> 90  -0.49078883  0.09950004  1.033005172 -0.101721113  0.425408433  1.34389185
#> 91   0.20550397  0.38316899 -3.080277786 -2.248866485  0.129460278 -0.99150364
#> 92   0.19325649 -1.14137617 -0.033090090  0.738395606 -0.132047250 -0.77447286
#> 93  -0.31620914  0.51376423  1.036346287 -0.320207847 -0.049655160  0.31372596
#> 94   0.44569770  1.27197562 -0.306692567 -1.301454934 -0.388624603 -0.43084389
#> 95   0.45229849  1.25453754 -0.431773838 -1.353931498  0.014735151  1.01653211
#> 96  -0.45828369 -0.36319652  0.894480421  0.139837311 -0.455438074 -0.23927798
#> 97   0.12152039 -0.13787376 -4.049267879  2.016510237  0.128327920 -0.99072296
#> 98   0.43761066  1.07404182 -1.207953880 -1.648443719 -0.209703821 -0.69200552
#> 99   0.34908708  1.27351018  0.304130074 -1.009182584  0.162678455 -1.01377429
#> 100  0.40205460 -1.08812532 -1.376881520  1.243514168 -0.222184052 -0.67761751
#>          x2.pen3    x2.null1      x3.pen1      x3.pen2      x3.pen3    x3.null1
#> 1   -1.068125770 -0.61933798  0.399200885 -1.271002143 -0.167259700  1.04798764
#> 2    2.565012562  1.53861255 -0.375413472 -0.239421485 -0.767743620  0.17577432
#> 3   -0.394832136 -1.13302060 -0.364005167  0.392020744 -0.560104979 -0.16448544
#> 4   -1.086449094 -0.02327056  0.424630119 -1.287422554 -0.073316446  1.10656134
#> 5    0.007085079  0.69384083  0.310335403  1.175614529  0.906252496 -0.98447834
#> 6    0.452773741  0.87233684  0.360535966  1.016175493  2.023396634 -1.38365360
#> 7   -0.888090434  0.18769689  0.480055082 -1.102753416  1.340812595  1.76728023
#> 8   -0.895031691 -0.80018133 -0.316863142 -0.373356788 -0.779670266  0.24875086
#> 9    3.262639099  1.72946807 -0.148844390  0.759333255 -0.285550585 -0.39149173
#> 10  -1.019202525  0.06194068 -0.377319658  0.357402758 -0.578657543 -0.14502190
#> 11   1.758812637 -2.00273653  0.043368214  0.982147428  0.009998818 -0.57335662
#> 12  -1.085605566 -0.02204476 -0.170273804 -0.618066644 -0.769921473  0.38971076
#> 13  -0.990157128  0.09319698  0.312194123  1.175519666  0.919477339 -0.98971069
#> 14   3.615776979  1.82348789  0.393334550 -1.266743960 -0.186352785  1.03561184
#> 15  -1.135015420 -0.10598487  0.356084595 -1.236702146 -0.291114644  0.96428984
#> 16  -0.323214583  0.54089931  0.292747918  1.173960382  0.793478603 -0.93916341
#> 17  -0.451667596 -1.10137945 -0.433558191  0.030245476 -0.710521347  0.03215812
#> 18  -0.907016074  0.17156911  0.279800916 -1.164339382 -0.446186978  0.84444213
#> 19  -1.077970632 -0.01117948  0.179013046  1.108657274  0.328722022 -0.73587670
#> 20  -0.307782549  0.54860163  0.338011903  0.886755630  2.495660195 -1.53486521
#> 21  -0.052808045  0.66773301 -0.158753910 -0.634656230 -0.767559052  0.39982335
#> 22   2.026859049 -2.09132147  0.458806629 -1.301534430  0.096591196  1.20452274
#> 23  -0.804398950  0.25359061 -0.374914162 -0.240763820 -0.767918445  0.17649706
#> 24  -1.147656719 -0.13382035 -0.327997092  0.472877807 -0.512718458 -0.21083961
#> 25  -1.168206686 -0.19253606 -0.309148106 -0.388588118 -0.780302806  0.25718630
#> 26   1.528676191  1.23519863  0.503115012 -1.221066714  0.858655280  1.57032763
#> 27  -0.928996315  0.15213960 -0.192707229  0.699404362 -0.342701422 -0.35069878
#> 28  -0.940323772  0.14180279  0.100937924 -0.965702585 -0.650880683  0.63347477
#> 29  -0.956761220  0.12636927 -0.231226753 -0.525299800 -0.778872534  0.33468514
#> 30   0.003768293 -1.33243363 -0.294938174  0.536613848 -0.470965863 -0.24845697
#> 31  -0.970383036  0.11315350 -0.270527055 -0.459654098 -0.781199310  0.29702960
#> 32  -0.628193671  0.37230111  0.328953372  1.171355724  1.054747897 -1.04232680
#> 33   0.661207352  0.94858844 -0.385471385  0.334332569 -0.590479873 -0.13215941
#> 34  -1.156211387 -0.46161731 -0.290579096  0.544481946 -0.465517471 -0.25317859
#> 35  -0.588302901 -1.02058994  0.250379344 -1.133850260 -0.491844263  0.80445625
#> 36  -0.777733365 -0.89326494 -0.106404923  0.813450313 -0.227856803 -0.43042512
#> 37   3.994643160 -2.70124220 -0.340840829 -0.323091555 -0.776517266  0.22113275
#> 38  -0.999364994  0.08355791  0.313035671  1.175456541  0.925562720 -0.99211283
#> 39  -0.773808291 -0.89614799  0.292275033  1.173861770  0.790708641 -0.93803399
#> 40  -0.983271048  0.10025710  0.332381200  1.169549614  1.087038913 -1.05465739
#> 41  -0.968532511  0.11497301  0.280746031 -1.165299199 -0.444612847  0.84577397
#> 42   1.484751174  1.22158235 -0.431549085 -0.001156797 -0.719458200  0.04883071
#> 43  -1.170103937 -0.41758884  0.041647968  0.980370884  0.006790716 -0.57157850
#> 44  -1.135999603 -0.50909278 -0.115487525  0.802151222 -0.240443479 -0.42210494
#> 45   0.831214700  1.00823650 -0.274807748 -0.452142122 -0.781268210  0.29277652
#> 46   1.031041268  1.07588982  0.201722643 -1.081212152 -0.555195310  0.74368649
#> 47  -1.095591677 -0.58016875 -0.114939785  0.802836781 -0.239688414 -0.42260668
#> 48  -0.610015370  0.38343434 -0.216219801 -0.549024130 -0.777240502  0.34853476
#> 49   0.068829696 -1.36215717  0.029951839 -0.880531477 -0.697356542  0.56506880
#> 50  -1.021773264  0.05904633  0.210840189 -1.091259689 -0.544333267  0.75462910
#> 51  -0.551870297  0.41795520  0.234562473  1.148394230  0.517724394 -0.82227409
#> 52  -0.752604059 -0.91150981  0.088781804 -0.951309154 -0.659891321  0.62129694
#> 53  -1.108646776 -0.05767030 -0.326587160  0.475765231 -0.510914826 -0.21252131
#> 54  -1.030592512  0.04893891  0.057677013 -0.914107167 -0.680904525  0.59103711
#> 55   0.593454373  0.92420814 -0.317182712 -0.372717017 -0.779640373  0.24839726
#> 56   1.085015974  1.09375955 -0.399844258 -0.165864351 -0.756491791  0.13635679
#> 57   2.212253180  1.43860776  0.206490864  0.433092132  3.790102536 -1.92135152
#> 58  -1.128528056 -0.09309141 -0.422533774  0.190980576 -0.654952385 -0.05376629
#> 59  -0.687399134  0.33476980  0.190897895 -1.069184199 -0.567547675  0.73093450
#> 60  -0.964359325 -0.73658956 -0.356790735  0.409515275 -0.550345695 -0.17440252
#> 61  -0.502147684  0.44628858 -0.389923972  0.320972217 -0.597134192 -0.12474698
#> 62   0.409888490 -1.50896599  0.240281587  1.151819891  0.540406987 -0.83226301
#> 63  -0.754677105  0.28939143 -0.391718459  0.315411986 -0.599862695 -0.12166961
#> 64  -0.849492072  0.21908792 -0.033318408 -0.249814406  5.451375784 -2.38889537
#> 65   4.875379514  2.15087655 -0.021719794  0.163187650  4.654261110  2.88901054
#> 66  -1.171571246 -0.20528104  0.219852722  1.138930554  0.462546199 -0.79765520
#> 67  -1.184412402 -0.30934841  0.376174532 -1.253489140 -0.237820644  1.00134224
#> 68   4.284803312 -2.78847620  0.200220227  1.125031050  0.395048305 -0.76688281
#> 69  -0.967845145  0.11564687  0.257342679  1.161056728  0.612832584 -0.86367659
#> 70  -0.220457186 -1.22447785  0.036395973  0.974926477 -0.002906170 -0.56618278
#> 71   2.365431495 -2.20051317  0.345245633 -1.227170660 -0.317264768  0.94544665
#> 72   0.306836185 -1.46602053  0.246500596  1.155366003  0.565939254 -0.84341922
#> 73  -0.794582380 -0.88074150 -0.002905467 -0.840202685 -0.714398692  0.53531157
#> 74   0.938991080  1.04502959  0.028565340 -0.878842502 -0.698126890  0.56379301
#> 75   1.286672661  1.15917578  0.045622577  0.984470526  0.014227425 -0.57569511
#> 76   1.504315941  1.22765670 -0.363637046  0.392932804 -0.559602656 -0.16500106
#> 77  -1.125788255 -0.08787220  0.213515578 -1.094192921 -0.541063442  0.75787641
#> 78   0.486941645  0.88509918 -0.218787145 -0.545011220 -0.777547162  0.34618225
#> 79  -0.302848045  0.55105099  0.326867173 -1.210364181 -0.358066622  0.91505576
#> 80  -0.593832192 -1.01715733 -0.414635621  0.230935479 -0.638472409 -0.07539203
#> 81  -1.180060464 -0.36869796  0.327845814  1.171855346  1.044721085 -1.03848068
#> 82  -0.758762756  0.28652837 -0.236651609 -0.516557491 -0.779365503  0.32961595
#> 83  -1.175674924 -0.39376380 -0.215118451  0.666890355 -0.371199547 -0.32939461
#> 84   0.038458200 -1.34836114  0.421295982 -1.285488426 -0.086834150  1.09835239
#> 85   3.771391866  1.86450478 -0.094040848 -0.723661340 -0.750428900  0.45585888
#> 86   0.039619217 -1.34889103  0.326920372  1.172243761  1.036483721 -1.03531473
#> 87   0.863839334  1.01945277 -0.433570716  0.030548165 -0.710432224  0.03199732
#> 88  -0.760241144 -0.90601753  0.103783371 -0.969059233 -0.648702960  0.63635551
#> 89   0.314785031  0.81961587 -0.276439253 -0.449257722 -0.781284188  0.29114624
#> 90   0.282536094 -1.45572967 -0.419344938 -0.086484028 -0.740690187  0.09411040
#> 91  -0.127912914  0.63407847  0.290356453  1.173436753  0.779591161 -0.93349268
#> 92  -0.526130896  0.43274990 -0.253878366  0.606900292 -0.419788008 -0.29134061
#> 93   5.164945104  2.22531244  0.270784134  0.635672783  3.250285222 -1.76396273
#> 94  -0.858608544  0.21184128  0.352938370  1.144902552  1.347620032 -1.15131434
#> 95  -1.094513043 -0.58181273 -0.363621046  0.392972396 -0.559580835 -0.16502345
#> 96  -0.977255668  0.10632626 -0.370583723 -0.252203505 -0.769363652  0.18266223
#> 97  -0.130060452  0.63310009 -0.377025645 -0.235052614 -0.767167009  0.17342300
#> 98  -0.625754136  0.37380524  0.500089012 -1.276882468  0.530568292  1.42367453
#> 99  -0.061908218  0.66371136  0.313030040 -1.197240155 -0.386205636  0.89331195
#> 100 -0.641514682  0.36403128 -0.413494160  0.236011053 -0.636299034 -0.07814992
#>          x4.pen1      x4.pen2     x4.pen3    x4.null1      x5.pen1     x5.pen2
#> 1   -0.470716110  0.028407861  1.04188184 -0.06704909  0.453151476 -0.98278325
#> 2    0.047448529 -0.970871068  0.64721750  0.51540179  0.230679850  1.18886079
#> 3    0.407572262  1.404571252 -0.44568039 -1.30476113 -0.087203619 -0.88529685
#> 4   -0.045137361  0.225409525 -5.43970951  2.68818900 -0.384886190  0.59173992
#> 5    0.035260793 -0.957538201  0.66088579  0.50472156 -0.573434172 -0.06585648
#> 6    0.245892631 -1.173149881  0.34203283  0.71928981  0.193404063  1.17008457
#> 7   -0.093148904 -0.809757955  0.78470738  0.39770997  0.099563939 -1.04914700
#> 8    0.336831454 -0.676828531 -3.12765817  2.02502022  0.261815011  1.20094339
#> 9    0.278024123  1.349262893  0.20988467 -0.98818753 -0.420690504  0.53344463
#> 10  -0.466005594 -0.068427232  1.03647996 -0.01778996 -0.041596500  0.99307064
#> 11   0.309620150  1.374012734  0.10457285 -1.04484353  0.300711701  0.62267740
#> 12  -0.007677796 -0.909747828  0.70598575  0.46807013  0.381337173  1.16354002
#> 13  -0.470765422  0.015403385  1.04146052 -0.06044569 -0.541175758  0.26301953
#> 14  -0.096673219 -0.805464837  0.78769839  0.39484016  0.392919862 -1.20608044
#> 15  -0.346690684 -0.435760537  0.96538336  0.17481015 -0.566171423 -0.11307011
#> 16   0.012575207  1.061079731  0.70573635 -0.65866521  0.058864025  1.07817417
#> 17  -0.166243931  0.821951640  0.87254675 -0.49415844 -0.541440519  0.26213672
#> 18  -0.470727159  0.010148669  1.04126366 -0.05777677  0.225888826  0.39614881
#> 19   0.101734171 -1.029189326  0.58059491  0.56503784 -0.202964084 -0.76514915
#> 20  -0.232310472 -0.625509340  0.89131664  0.28234008  0.309135144 -1.18525259
#> 21  -0.291521034 -0.533830813  0.93088588  0.22933842  0.396031781  1.07154821
#> 22  -0.397897988 -0.325286084  0.99578328  0.11537561  0.214955389 -1.13274637
#> 23   0.399123498  1.407847422 -0.36956501 -1.27155069  0.307063621 -0.52287438
#> 24   0.117408580  1.185933369  0.56339734 -0.76866220 -0.137591012 -0.83500303
#> 25  -0.453807335 -0.144949013  1.02845739  0.02138205 -0.084382126  0.95311021
#> 26  -0.377484729  0.440411741  1.00608246 -0.27867753  0.230300015 -1.14253183
#> 27  -0.449728289  0.211788975  1.03786574 -0.16025508 -0.130899316 -0.84184961
#> 28  -0.035209756 -0.224374100 -5.18389800 -2.85110080  0.122826418  1.12560089
#> 29   0.304768707  0.750696885 -2.88189447 -2.16698593  0.465717473 -1.08663582
#> 30  -0.222705511 -0.639434124  0.88461532  0.29060005 -0.520026608  0.32606037
#> 31   0.407960386  1.117467118 -1.83996964 -1.83008169  0.131731902  1.13172508
#> 32   0.389415606  1.409104769 -0.29425724 -1.23796720  0.054479272 -1.01266407
#> 33   0.500967156 -1.225583407 -1.22367257  1.40857275  0.266214179  0.51502699
#> 34  -0.266090611 -0.574565657  0.91424258  0.25261164 -0.023100645  1.00965742
#> 35   0.255999201 -1.182426433  0.32069404  0.73178378 -0.160893315  0.87584404
#> 36   0.420101716 -0.901696784 -2.46432922  1.82245278  0.463357432 -1.13055259
#> 37   0.083620666 -1.009927970  0.60394060  0.54806974 -0.237270030 -0.72609854
#> 38  -0.156357290  0.836388809  0.86488378 -0.50313531  0.165051766  1.15340920
#> 39   0.242744860  1.317806083  0.30894962 -0.93190319  0.313358567 -1.18708126
#> 40   0.311226556  1.375162816  0.09869393 -1.04792163  0.271001275  1.20370536
#> 41   0.098286701 -1.025539593  0.58512980  0.56177503  0.439558784 -0.92157871
#> 42   0.181747152  0.383018771 -3.78683980 -2.44163602  0.042644746  1.06527358
#> 43  -0.361370131  0.477957742  0.99781518 -0.29861070  0.395724180  1.05642671
#> 44   0.411207462 -1.297681431 -0.16081360  0.97965129 -0.549371987 -0.18557112
#> 45   0.223350604 -1.151989615  0.38697316  0.69238926 -0.507197353 -0.30623742
#> 46  -0.444767161  0.234158530  1.03609638 -0.17168437 -0.049045705  0.32010801
#> 47   0.223669789  0.504831558 -3.49533671 -2.35439926 -0.341805458  0.65554961
#> 48   0.015398403  1.064564578  0.70247879 -0.66141261  0.159780785  1.15011812
#> 49   0.071964450 -0.043239815 -4.77585763  2.50124845  0.421816340 -1.19969626
#> 50  -0.464952498  0.118617577  1.04223082 -0.11283744  0.300699721 -1.18143072
#> 51   0.335977739 -1.249910471  0.11832741  0.84285198  0.424516508 -1.19836260
#> 52   0.501042196 -1.227890617 -1.21117723  1.40405865  0.349540588  1.20064371
#> 53   0.400915800  1.087203484 -1.93642460 -1.86261926  0.283820071  0.56909706
#> 54   0.051183897  1.108179843  0.65870318 -0.69714966 -0.575537924  0.09002123
#> 55  -0.184304896 -0.693017242  0.85694586  0.32299344  0.330660815  0.72351301
#> 56   0.025875656  1.077439548  0.69015226 -0.67169332 -0.540841331 -0.21448858
#> 57   0.289732338 -0.558520551 -3.45264000  2.12131641  0.172319299 -1.10371079
#> 58  -0.440560563 -0.200244401  1.02054241  0.04990385  0.459099465 -1.15071161
#> 59   0.333092012  1.389524132  0.01240693 -1.09217899  0.392452969  1.01133596
#> 60   0.407075537  1.404835343 -0.44085894 -1.30267813 -0.547008505  0.24283494
#> 61  -0.218097104 -0.646035898  0.88136996  0.29453778  0.391036813  0.99878920
#> 62  -0.356227580 -0.417002469  0.97114799  0.16458703  0.265995207 -1.16364112
#> 63   0.381666578 -1.281614454 -0.03598599  0.92039392  0.384446140 -1.20601163
#> 64   0.246440696  1.321256550  0.29932321 -0.93751645  0.205203389  1.17645558
#> 65  -0.466254388  0.106549555  1.04244440 -0.10670977  0.337915164  0.74952227
#> 66   0.299881999 -1.220928791  0.21799796  0.78968897 -0.459834157 -0.40593712
#> 67   0.493270625 -1.284290866 -0.83559984  1.26368838  0.422548756 -1.19935099
#> 68  -0.470752363  0.013037231  1.04137377 -0.05924395  0.190298322  1.16834861
#> 69   0.159552762  1.232945627  0.49078141 -0.81867770 -0.570577111 -0.08682527
#> 70   0.276375397  1.347873133  0.21490366 -0.98541054 -0.095147192 -0.87755608
#> 71  -0.467250735 -0.056347162  1.03744112 -0.02394966  0.004075490 -0.96959023
#> 72  -0.232439361  0.719933935  0.92033780 -0.43295110 -0.572474934 -0.07340040
#> 73   0.386570816 -0.807718885 -2.75082015  1.91107910  0.331021665  0.72478877
#> 74  -0.396863653 -0.327812507  0.99518077  0.11671581 -0.384373549 -0.53253547
#> 75  -0.290534349  0.620326117  0.95769287 -0.37617535 -0.428018746  0.52078082
#> 76   0.499993511 -1.257147931 -1.03812374  1.34056460  0.386982585 -1.20610239
#> 77   0.038870146  1.093286728  0.67431251 -0.68464801 -0.575083384 -0.05111552
#> 78   0.189664511  1.265056862  0.43173079 -0.85711266 -0.536254037 -0.22877257
#> 79   0.259738588  1.333386995  0.26330733 -0.95823286 -0.087011476  0.95058090
#> 80  -0.470404557 -0.005754757  1.04057431 -0.04969634 -0.361579024 -0.56611415
#> 81  -0.415376012  0.338581694  1.02405636 -0.22541486  0.134725916 -1.07621777
#> 82  -0.341472766 -0.445755655  0.96220645  0.18028221 -0.578745504  0.01859929
#> 83  -0.240271513 -0.613790496  0.89680814  0.27543507 -0.270629910  0.74984995
#> 84  -0.466254546  0.106547993  1.04244443 -0.10670898 -0.110611506  0.92748773
#> 85   0.051104060  0.004786675 -4.89507420  2.53489887  0.406436397 -1.20459945
#> 86  -0.468061378 -0.047258698  1.03810991 -0.02858046  0.177263710  1.16081260
#> 87   0.501048905 -1.228129825 -1.20987391  1.40358728 -0.204975105  0.82760969
#> 88  -0.169509923  0.817141698  0.87504651 -0.49118698  0.328944997  1.20812617
#> 89   0.020662377 -0.941440622  0.67672428  0.49210669  0.184316135 -1.11213171
#> 90   0.496120032 -1.276523195 -0.90031368  1.28858099 -0.311293264 -0.63492154
#> 91  -0.468593693  0.079419101  1.04263112 -0.09293907 -0.578115493  0.05150729
#> 92   0.348121523  1.397725063 -0.05500012 -1.12564917 -0.558755873 -0.14867451
#> 93  -0.149891919 -0.738605180  0.83084842  0.35141570 -0.007703054  1.02315206
#> 94   0.236801603 -1.164691219  0.36058155  0.70828643  0.360302189 -1.20266738
#> 95  -0.157274116 -0.728997464  0.83655792  0.34535285  0.457382828 -1.15623040
#> 96   0.028382507  1.080506979  0.68714544 -0.67417414  0.293035971 -1.17777472
#> 97   0.337789763 -1.251286409  0.11287754  0.84568329 -0.059235167 -0.36693765
#> 98   0.147211122  1.219409465  0.51316639 -0.80360922 -0.536330322  0.27868983
#> 99  -0.049665824 -0.861548409  0.74624709  0.43324125 -0.189368731  0.84502234
#> 100 -0.470033284 -0.015924440  1.04005963 -0.04452648 -0.503474481 -0.31500424
#>          x5.pen3    x5.null1
#> 1    1.335164006  1.45651518
#> 2    0.014301651 -0.77818647
#> 3   -0.757672831  0.55380072
#> 4   -0.860857587 -0.25722565
#> 5   -1.042152626  0.08714114
#> 6   -0.084752075 -0.73472378
#> 7   -0.559140596  0.69237310
#> 8    0.111022179 -0.81889373
#> 9   -0.892298440 -0.22435438
#> 10  -0.495479968 -0.52634478
#> 11   2.536467980 -1.59558727
#> 12   0.807740528 -1.07765437
#> 13  -0.995354853 -0.08011690
#> 14   0.124989562  1.02864685
#> 15  -1.042346801  0.11110189
#> 16  -0.349547886 -0.60692949
#> 17  -0.995589406 -0.07966111
#> 18   3.071092765 -1.73934674
#> 19  -0.851315480  0.47147401
#> 20  -0.170772884  0.89894645
#> 21   1.232834024 -1.21637292
#> 22  -0.381422259  0.79401462
#> 23   2.592909770  1.82526650
#> 24  -0.800561505  0.51806671
#> 25  -0.550107368 -0.49356024
#> 26  -0.352253718  0.80938271
#> 27  -0.795065497  0.52281050
#> 28  -0.237603919 -0.66335930
#> 29   0.957805202  1.33450311
#> 30  -0.976996538 -0.11285417
#> 31  -0.220302686 -0.67173870
#> 32  -0.614341873  0.65720717
#> 33   2.795420041 -1.66579275
#> 34  -0.470654837 -0.54072200
#> 35  -0.639683517 -0.43574428
#> 36   0.763153493  1.26834868
#> 37  -0.875961447  0.44664501
#> 38  -0.150794869 -0.70459419
#> 39  -0.159124581  0.90439066
#> 40   0.142677659 -0.83188639
#> 41   1.529277304  1.51668418
#> 42  -0.375176790 -0.59341160
#> 43   1.290146768 -1.23432236
#> 44  -1.039446536  0.14808025
#> 45  -1.025803973  0.21044471
#> 46   4.494491424  2.33356995
#> 47  -0.821903277 -0.29429744
#> 48  -0.162331186 -0.69922640
#> 49   0.283797353  1.09243346
#> 50  -0.193328485  0.88831076
#> 51   0.301722824  1.09942906
#> 52   0.516928683 -0.97560038
#> 53   2.666640652 -1.63102693
#> 54  -1.029941398  0.00823778
#> 55   2.282999435 -1.52561216
#> 56  -1.037194886  0.16291618
#> 57  -0.454740412  0.75390588
#> 58   0.659292337  1.23195922
#> 59   1.450186884 -1.28365062
#> 60  -1.000564969 -0.06971198
#> 61   1.492384761 -1.29647485
#> 62  -0.277476210  0.84745536
#> 63   0.086546122  1.01266766
#> 64  -0.055058130 -0.74795850
#> 65   2.215449051 -1.50672422
#> 66  -1.005756373  0.26316655
#> 67   0.288590613  1.09430786
#> 68  -0.092338652 -0.73131244
#> 69  -1.042440465  0.09777401
#> 70  -0.764672059  0.54815900
#> 71  -0.669852197  0.61953471
#> 72  -1.042293229  0.09096514
#> 73   2.279709242 -1.52469465
#> 74  -0.967630133  0.33247191
#> 75  -0.898644837 -0.21732178
#> 76   0.097759665  1.01735218
#> 77  -1.041757818  0.07967287
#> 78  -1.035849000  0.17026698
#> 79  -0.553348066 -0.49156170
#> 80  -0.954878341  0.35144091
#> 81  -0.511470752  0.72119602
#> 82  -1.037739680  0.04439386
#> 83  -0.754251601 -0.35176497
#> 84  -0.581885591 -0.47367970
#> 85   0.192971052  1.05636950
#> 86  -0.123207025 -0.71730136
#> 87  -0.687422491 -0.40237668
#> 88   0.392844186 -0.92974292
#> 89  -0.435160996  0.76483914
#> 90  -0.924862755  0.39129362
#> 91  -1.034609881  0.02774335
#> 92  -1.041409550  0.12922759
#> 93  -0.449363585 -0.55281593
#> 94  -0.009809343  0.97155994
#> 95   0.628340668  1.22095187
#> 96  -0.213051385  0.87890608
#> 97   4.719436280 -2.16467190
#> 98  -0.991088986 -0.08821875
#> 99  -0.670807839 -0.41422269
#> 100 -1.024369233  0.21503001
#> 
#> $Smooth
#> $Smooth$x1
#> $term
#> [1] "x1"
#> 
#> $bs.dim
#> [1] 5
#> 
#> $fixed
#> [1] FALSE
#> 
#> $dim
#> [1] 1
#> 
#> $p.order
#> [1] NA
#> 
#> $by
#> [1] "NA"
#> 
#> $label
#> [1] "s(x1)"
#> 
#> $xt
#> NULL
#> 
#> $id
#> NULL
#> 
#> $sp
#> NULL
#> 
#> $X
#>            x1.pen1     x1.pen2      x1.pen3     x1.null1
#>   [1,] -0.19826553  0.69235463  0.997994333 -0.422950228
#>   [2,]  0.30532198  1.24447647  0.437883132 -0.932536489
#>   [3,]  0.15778606 -1.11786774  0.052526664  0.698836529
#>   [4,] -0.42083122  0.31104368  1.049140878 -0.211267112
#>   [5,]  0.33312890  1.26382907  0.357255083 -0.979536648
#>   [6,]  0.30309227  1.24281020  0.443797855 -0.928982459
#>   [7,]  0.04974291  0.04509368 -4.469366214  2.128814810
#>   [8,]  0.24370329 -1.16978218 -0.176891208  0.801800840
#>   [9,] -0.09108207  0.83214515  0.944632270 -0.511338462
#>  [10,] -0.26953938 -0.69893197  0.680843020  0.335151879
#>  [11,]  0.26275821 -0.51783286 -3.135289470  1.767211070
#>  [12,] -0.12961967 -0.86460369  0.516323899  0.448643601
#>  [13,]  0.39095603  1.29149574  0.129095132 -1.100868951
#>  [14,]  0.04067956 -1.02663374  0.276163549  0.587306287
#>  [15,]  0.43064683  1.04429559 -1.307493021 -1.683371103
#>  [16,] -0.44183326  0.25957473  1.047875575 -0.184369564
#>  [17,] -0.44906435 -0.38724723  0.882939520  0.152952190
#>  [18,]  0.26102066 -1.17773216 -0.234148797  0.826125555
#>  [19,]  0.36094530 -1.18647390 -0.727257937  1.019235912
#>  [20,] -0.03390952 -0.96002020  0.389247454  0.525052117
#>  [21,]  0.31819050 -1.19375190 -0.467985055  0.920956065
#>  [22,]  0.32644773 -1.19418097 -0.510018258  0.937330344
#>  [23,] -0.17885694 -0.81044419  0.576379226  0.409489332
#>  [24,] -0.20025268  0.68959852  0.998815275 -0.421292583
#>  [25,]  0.30697929 -0.64895201 -2.795857551  1.671887517
#>  [26,] -0.26279212  0.59888650  1.021635056 -0.368113010
#>  [27,] -0.49740513 -0.22545708  0.951616518  0.066261333
#>  [28,]  0.27245719 -1.18233610 -0.274794425  0.843107969
#>  [29,] -0.38362058 -0.52431582  0.807156297  0.229792635
#>  [30,]  0.22231127  1.17422666  0.618580222 -0.815629683
#>  [31,] -0.28634690  0.56237658  1.028688185 -0.347361614
#>  [32,]  0.34758254 -1.19174148 -0.633107926  0.984267175
#>  [33,] -0.14245701 -0.85084972  0.532267530  0.438465189
#>  [34,] -0.50951231 -0.02429582  1.010279695 -0.038158202
#>  [35,]  0.31462919  1.25126034  0.412369551 -0.947693216
#>  [36,] -0.35827986 -0.56797666  0.779054520  0.255197422
#>  [37,] -0.33474010 -0.60559178  0.753104791  0.277534662
#>  [38,]  0.36941506 -0.86398694 -2.185547747  1.494810564
#>  [39,]  0.24345845 -1.16966213 -0.176115135  0.801467773
#>  [40,] -0.18264612 -0.80611113  0.580886524  0.406456661
#>  [41,]  0.07662335 -1.05646357  0.215088023  0.619126765
#>  [42,] -0.50582419  0.01278579  1.018122362 -0.057209977
#>  [43,] -0.21488396  0.66908538  1.004678275 -0.409039034
#>  [44,] -0.50050614 -0.20876744  0.957561004  0.057490376
#>  [45,]  0.13120264 -1.09878389  0.110270522  0.671270739
#>  [46,]  0.04421245  0.99021427  0.846179495 -0.627243612
#>  [47,] -0.05445881  0.30649411 -5.060745821  2.285856551
#>  [48,]  0.23283012  1.18390080  0.599396539 -0.828995327
#>  [49,] -0.43578987 -0.41911953  0.866875855  0.170482901
#>  [50,]  0.39362147 -0.98069940 -1.802808925  1.378787330
#>  [51,] -0.51150069 -0.06345735  1.001019421 -0.017999131
#>  [52,]  0.29306620 -0.60658592 -2.907527458  1.703459450
#>  [53,] -0.33227745  0.48634143  1.039835176 -0.305101824
#>  [54,] -0.06734038 -0.92803699  0.435500530  0.498132237
#>  [55,]  0.36237953 -0.83626558 -2.269615740  1.519722984
#>  [56,]  0.31780403  1.25350785  0.403346299 -0.952988291
#>  [57,]  0.18070332  1.13432706  0.686610202 -0.765823643
#>  [58,] -0.30297256 -0.65279977  0.718051114  0.306247033
#>  [59,] -0.34508797  0.46374101  1.042277037 -0.292754931
#>  [60,]  0.13828960 -1.10398079  0.095355260  0.678464355
#>  [61,] -0.25620522  0.60884203  1.019509003 -0.373830627
#>  [62,]  0.44745603  1.26845831 -0.334588429 -1.313318440
#>  [63,]  0.30651394  1.24536089  0.434690772 -0.934448287
#>  [64,] -0.49584520  0.07533982  1.029341725 -0.089316837
#>  [65,]  0.44598326  1.27144176 -0.311043294 -1.303311540
#>  [66,] -0.40364340  0.34940358  1.048938132 -0.231471402
#>  [67,] -0.51167112 -0.09106587  0.993878325 -0.003752315
#>  [68,] -0.22519300  0.65438877  1.008617604 -0.400347077
#>  [69,]  0.02771088 -1.01550911  0.297005040  0.576176351
#>  [70,] -0.34448886 -0.59031737  0.763844816  0.268410257
#>  [71,] -0.49949456 -0.21443248  0.955565976  0.060464667
#>  [72,] -0.51048120 -0.12404261  0.984673201  0.013314095
#>  [73,]  0.43216795  1.28745017 -0.147773662 -1.231905311
#>  [74,]  0.41422053  1.29369968 -0.005620509 -1.166423753
#>  [75,] -0.31329115  0.51864282  1.035663915 -0.322910475
#>  [76,] -0.15318810  0.75312738  0.977768622 -0.460253204
#>  [77,]  0.41284062  1.29381994  0.003576923 -1.162064713
#>  [78,] -0.03801016 -0.22730892 -4.494766349 -2.664342586
#>  [79,] -0.11206991 -0.88301620  0.494161723  0.462552106
#>  [80,]  0.39596179 -1.13478168 -1.140014986  1.164698023
#>  [81,] -0.28289952  0.56781375  1.027710363 -0.350431349
#>  [82,] -0.04644170 -0.94819067  0.406856597  0.514913062
#>  [83,] -0.33117638  0.48825216  1.039610942 -0.306149810
#>  [84,]  0.35392560  1.27619483  0.286817308 -1.018641306
#>  [85,]  0.39655589  0.92088273 -1.687992866 -1.812706302
#>  [86,]  0.25685233 -1.17592040 -0.219920527  0.820125876
#>  [87,] -0.36025917 -0.56469430  0.781240590  0.253268863
#>  [88,]  0.06774894  1.01619012  0.824072192 -0.649030923
#>  [89,]  0.19438397 -1.14208139 -0.035995718  0.739712757
#>  [90,] -0.49078883  0.09950004  1.033005172 -0.101721113
#>  [91,]  0.20550397  0.38316899 -3.080277786 -2.248866485
#>  [92,]  0.19325649 -1.14137617 -0.033090090  0.738395606
#>  [93,] -0.31620914  0.51376423  1.036346287 -0.320207847
#>  [94,]  0.44569770  1.27197562 -0.306692567 -1.301454934
#>  [95,]  0.45229849  1.25453754 -0.431773838 -1.353931498
#>  [96,] -0.45828369 -0.36319652  0.894480421  0.139837311
#>  [97,]  0.12152039 -0.13787376 -4.049267879  2.016510237
#>  [98,]  0.43761066  1.07404182 -1.207953880 -1.648443719
#>  [99,]  0.34908708  1.27351018  0.304130074 -1.009182584
#> [100,]  0.40205460 -1.08812532 -1.376881520  1.243514168
#> 
#> $S
#> $S[[1]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    1    0    0    0
#> [2,]    0    1    0    0
#> [3,]    0    0    1    0
#> [4,]    0    0    0    0
#> 
#> $S[[2]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    0    0    0    0
#> [2,]    0    0    0    0
#> [3,]    0    0    0    0
#> [4,]    0    0    0    1
#> 
#> 
#> $rank
#> [1] 3 1
#> 
#> $null.space.dim
#> [1] 0
#> 
#> $df
#> [1] 4
#> 
#> $xp
#>         0%        25%        50%        75%       100% 
#> -2.7132536 -0.7269538 -0.1037126  0.5096643  2.1264429 
#> 
#> $F
#>  [1]  0.00000000  0.00000000  0.00000000  0.00000000  0.00000000  0.59738988
#>  [7] -2.99801561  2.97473517 -0.60044092  0.02633148 -0.15585427  4.81211022
#> [13] -9.46390429  5.02815069 -0.22050235  0.02143290 -0.66175593  3.49456662
#> [19] -3.71659024  0.86234665  0.00000000  0.00000000  0.00000000  0.00000000
#> [25]  0.00000000
#> 
#> $noterp
#> [1] TRUE
#> 
#> $plot.me
#> [1] TRUE
#> 
#> $side.constrain
#> [1] TRUE
#> 
#> $repara
#> [1] TRUE
#> 
#> $S.scale
#> [1] 14.47247  1.00000
#> 
#> $diagRP
#>             [,1]        [,2]      [,3]      [,4]
#> [1,]  0.07536187  1.14747577  3.819665 1.1331024
#> [2,] -0.50524972 -0.07157632  1.701069 0.4266551
#> [3,]  0.11419059 -0.92792901  2.955527 2.2718088
#> [4,] -0.05070659  0.32893319 -4.617039 2.5488704
#> 
#> attr(,"class")
#> [1] "cr.smooth"   "mgcv.smooth"
#> attr(,"qrc")
#> $qr
#>            [,1]
#> [1,] -0.5758173
#> [2,]  0.7154130
#> [3,]  0.1709228
#> [4,]  0.6643045
#> [5,]  0.1065604
#> 
#> $rank
#> [1] 1
#> 
#> $qraux
#> [1] 1.079461
#> 
#> $pivot
#> [1] 1
#> 
#> attr(,"class")
#> [1] "qr"
#> attr(,"nCons")
#> [1] 1
#> 
#> $Smooth$x2
#> $term
#> [1] "x2"
#> 
#> $bs.dim
#> [1] 5
#> 
#> $fixed
#> [1] FALSE
#> 
#> $dim
#> [1] 1
#> 
#> $p.order
#> [1] NA
#> 
#> $by
#> [1] "NA"
#> 
#> $label
#> [1] "s(x2)"
#> 
#> $xt
#> NULL
#> 
#> $id
#> NULL
#> 
#> $sp
#> NULL
#> 
#> $X
#>             x2.pen1     x2.pen2      x2.pen3    x2.null1
#>   [1,]  0.051044593  1.06579942 -1.068125770 -0.61933798
#>   [2,]  0.382145430 -0.70126164  2.565012562  1.53861255
#>   [3,]  0.370085949  1.40461320 -0.394832136 -1.13302060
#>   [4,] -0.463654290  0.01092353 -1.086449094 -0.02327056
#>   [5,]  0.194340055 -1.03372542  0.007085079  0.69384083
#>   [6,]  0.340431081 -1.09906517  0.452773741  0.87233684
#>   [7,] -0.408271841 -0.38826879 -0.888090434  0.18769689
#>   [8,]  0.199837103  1.25384290 -0.895031691 -0.80018133
#>   [9,]  0.290172925 -0.45489170  3.262639099  1.72946807
#>  [10,] -0.467173458 -0.15498383 -1.019202525  0.06194068
#>  [11,]  0.332024186  0.88811467  1.758812637 -2.00273653
#>  [12,] -0.463926772  0.00851032 -1.085605566 -0.02204476
#>  [13,] -0.459953283 -0.21453681 -0.990157128  0.09319698
#>  [14,]  0.234233094 -0.31997666  3.615776979  1.82348789
#>  [15,] -0.432156415  0.17454175 -1.135015420 -0.10598487
#>  [16,]  0.013271598 -0.90455541 -0.323214583  0.54089931
#>  [17,]  0.359197311  1.40026485 -0.451667596 -1.10137945
#>  [18,] -0.420058477 -0.35938647 -0.907016074  0.17156911
#>  [19,] -0.466074147 -0.01285442 -1.077970632 -0.01117948
#>  [20,]  0.023379135 -0.91267287 -0.307782549  0.54860163
#>  [21,]  0.167026954 -1.01659324 -0.052808045  0.66773301
#>  [22,]  0.300375406  0.78314787  2.026859049 -2.09132147
#>  [23,] -0.349540572 -0.50244191 -0.804398950  0.25359061
#>  [24,] -0.416291608  0.22965059 -1.147656719 -0.13382035
#>  [25,] -0.375497345  0.34522769 -1.168206686 -0.19253606
#>  [26,]  0.446724157 -0.98890910  1.528676191  1.23519863
#>  [27,] -0.432734747 -0.32414585 -0.928996315  0.15213960
#>  [28,] -0.438765679 -0.30520783 -0.940323772  0.14180279
#>  [29,] -0.446804504 -0.27669867 -0.956761220  0.12636927
#>  [30,]  0.415662161  1.38856611  0.003768293 -1.33243363
#>  [31,] -0.452732665 -0.25207327 -0.970383036  0.11315350
#>  [32,] -0.211633612 -0.68980406 -0.628193671  0.37230111
#>  [33,]  0.382587912 -1.10117257  0.661207352  0.94858844
#>  [34,] -0.111136508  0.83606625 -1.156211387 -0.46161731
#>  [35,]  0.326556455  1.38003945 -0.588302901 -1.02058994
#>  [36,]  0.260335694  1.32030203 -0.777733365 -0.89326494
#>  [37,]  0.012738298 -0.07102803  3.994643160 -2.70124220
#>  [38,] -0.462702402 -0.19626531 -0.999364994  0.08355791
#>  [39,]  0.262042912  1.32204638 -0.773808291 -0.89614799
#>  [40,] -0.457636883 -0.22786268 -0.983271048  0.10025710
#>  [41,] -0.451970183 -0.25547494 -0.968532511  0.11497301
#>  [42,]  0.446723113 -0.99812369  1.484751174  1.22158235
#>  [43,] -0.158624660  0.76255442 -1.170103937 -0.41758884
#>  [44,] -0.060258333  0.91115796 -1.135999603 -0.50909278
#>  [45,]  0.407752579 -1.09286608  0.831214700  1.00823650
#>  [46,]  0.428433243 -1.07342780  1.031041268  1.07588982
#>  [47,]  0.013101048  1.01429090 -1.095591677 -0.58016875
#>  [48,] -0.197275711 -0.70598760 -0.610015370  0.38343434
#>  [49,]  0.419233825  1.38010029  0.068829696 -1.36215717
#>  [50,] -0.467598038 -0.14942673 -1.021773264  0.05904633
#>  [51,] -0.151837802 -0.75449042 -0.551870297  0.41795520
#>  [52,]  0.270974042  1.33102887 -0.752604059 -0.91150981
#>  [53,] -0.453599317  0.07883481 -1.108646776 -0.05767030
#>  [54,] -0.468765537 -0.12996931 -1.030592512  0.04893891
#>  [55,]  0.370354372 -1.10208576  0.593454373  0.92420814
#>  [56,]  0.432556356 -1.06658673  1.085015974  1.09375955
#>  [57,]  0.415985985 -0.81206825  2.212253180  1.43860776
#>  [58,] -0.438664758  0.14899143 -1.128528056 -0.09309141
#>  [59,] -0.258599227 -0.63339975 -0.687399134  0.33476980
#>  [60,]  0.152341919  1.19681821 -0.964359325 -0.73658956
#>  [61,] -0.113829213 -0.79232055 -0.502147684  0.44628858
#>  [62,]  0.425631084  1.31708855  0.409888490 -1.50896599
#>  [63,] -0.311558865 -0.56162021 -0.754677105  0.28939143
#>  [64,] -0.382285878 -0.44346016 -0.849492072  0.21908792
#>  [65,]  0.005841533  0.19263060  4.875379514  2.15087655
#>  [66,] -0.365472482  0.37011685 -1.171571246 -0.20528104
#>  [67,] -0.271387644  0.56884717 -1.184412402 -0.30934841
#>  [68,] -0.033373716 -0.20257169  4.284803312 -2.78847620
#>  [69,] -0.451683401 -0.25673385 -0.967845145  0.11564687
#>  [70,]  0.395800784  1.40632581 -0.220457186 -1.22447785
#>  [71,]  0.256702581  0.64497448  2.365431495 -2.20051317
#>  [72,]  0.425632743  1.33905239  0.306836185 -1.46602053
#>  [73,]  0.252805293  1.31250891 -0.794582380 -0.88074150
#>  [74,]  0.420008697 -1.08358029  0.938991080  1.04502959
#>  [75,]  0.443081020 -1.03572163  1.286672661  1.15917578
#>  [76,]  0.446757916 -0.99405673  1.504315941  1.22765670
#>  [77,] -0.441141144  0.13864826 -1.125788255 -0.08787220
#>  [78,]  0.348292861 -1.10044482  0.486941645  0.88509918
#>  [79,]  0.026579416 -0.91522043 -0.302848045  0.55105099
#>  [80,]  0.325012096  1.37888316 -0.593832192 -1.01715733
#>  [81,] -0.210687562  0.67711119 -1.180060464 -0.36869796
#>  [82,] -0.314730785 -0.55696742 -0.758762756  0.28652837
#>  [83,] -0.184147840  0.72138309 -1.175674924 -0.39376380
#>  [84,]  0.417675065  1.38421632  0.038458200 -1.34836114
#>  [85,]  0.208082489 -0.25889361  3.771391866  1.86450478
#>  [86,]  0.417738092  1.38406418  0.039619217 -1.34889103
#>  [87,]  0.411747807 -1.09036534  0.863839334  1.01945277
#>  [88,]  0.267812852  1.32787759 -0.760241144 -0.90601753
#>  [89,]  0.304408809 -1.08884824  0.314785031  0.81961587
#>  [90,]  0.425408433  1.34389185  0.282536094 -1.45572967
#>  [91,]  0.129460278 -0.99150364 -0.127912914  0.63407847
#>  [92,] -0.132047250 -0.77447286 -0.526130896  0.43274990
#>  [93,] -0.049655160  0.31372596  5.164945104  2.22531244
#>  [94,] -0.388624603 -0.43084389 -0.858608544  0.21184128
#>  [95,]  0.014735151  1.01653211 -1.094513043 -0.58181273
#>  [96,] -0.455438074 -0.23927798 -0.977255668  0.10632626
#>  [97,]  0.128327920 -0.99072296 -0.130060452  0.63310009
#>  [98,] -0.209703821 -0.69200552 -0.625754136  0.37380524
#>  [99,]  0.162678455 -1.01377429 -0.061908218  0.66371136
#> [100,] -0.222184052 -0.67761751 -0.641514682  0.36403128
#> 
#> $S
#> $S[[1]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    1    0    0    0
#> [2,]    0    1    0    0
#> [3,]    0    0    1    0
#> [4,]    0    0    0    0
#> 
#> $S[[2]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    0    0    0    0
#> [2,]    0    0    0    0
#> [3,]    0    0    0    0
#> [4,]    0    0    0    1
#> 
#> 
#> $rank
#> [1] 3 1
#> 
#> $null.space.dim
#> [1] 0
#> 
#> $df
#> [1] 4
#> 
#> $xp
#>          0%         25%         50%         75%        100% 
#> -2.89319817 -0.71264712 -0.01705044  0.50256741  2.08241319 
#> 
#> $F
#>  [1]  0.00000000  0.00000000  0.00000000  0.00000000  0.00000000  0.49597976
#>  [7] -2.50785330  2.69947295 -0.71250408  0.02490467 -0.14580873  4.38275105
#> [13] -9.92310364  5.89211260 -0.20595128  0.01804385 -0.54236607  3.97796109
#> [19] -4.38360379  0.92996491  0.00000000  0.00000000  0.00000000  0.00000000
#> [25]  0.00000000
#> 
#> $noterp
#> [1] TRUE
#> 
#> $plot.me
#> [1] TRUE
#> 
#> $side.constrain
#> [1] TRUE
#> 
#> $repara
#> [1] TRUE
#> 
#> $S.scale
#> [1] 13.73426  1.00000
#> 
#> $diagRP
#>             [,1]       [,2]      [,3]      [,4]
#> [1,]  0.04475673  1.1552248 -3.754139 1.1437312
#> [2,] -0.44784046 -0.2075894 -1.779564 0.6340958
#> [3,]  0.14904554 -0.8668863 -2.753056 2.3406941
#> [4,] -0.04624516  0.3344240  4.727140 2.5102283
#> 
#> attr(,"class")
#> [1] "cr.smooth"   "mgcv.smooth"
#> attr(,"qrc")
#> $qr
#>            [,1]
#> [1,] -0.5576932
#> [2,]  0.6883246
#> [3,]  0.2080361
#> [4,]  0.6773840
#> [5,]  0.1130392
#> 
#> $rank
#> [1] 1
#> 
#> $qraux
#> [1] 1.106317
#> 
#> $pivot
#> [1] 1
#> 
#> attr(,"class")
#> [1] "qr"
#> attr(,"nCons")
#> [1] 1
#> 
#> $Smooth$x3
#> $term
#> [1] "x3"
#> 
#> $bs.dim
#> [1] 5
#> 
#> $fixed
#> [1] FALSE
#> 
#> $dim
#> [1] 1
#> 
#> $p.order
#> [1] NA
#> 
#> $by
#> [1] "NA"
#> 
#> $label
#> [1] "s(x3)"
#> 
#> $xt
#> NULL
#> 
#> $id
#> NULL
#> 
#> $sp
#> NULL
#> 
#> $X
#>             x3.pen1      x3.pen2      x3.pen3    x3.null1
#>   [1,]  0.399200885 -1.271002143 -0.167259700  1.04798764
#>   [2,] -0.375413472 -0.239421485 -0.767743620  0.17577432
#>   [3,] -0.364005167  0.392020744 -0.560104979 -0.16448544
#>   [4,]  0.424630119 -1.287422554 -0.073316446  1.10656134
#>   [5,]  0.310335403  1.175614529  0.906252496 -0.98447834
#>   [6,]  0.360535966  1.016175493  2.023396634 -1.38365360
#>   [7,]  0.480055082 -1.102753416  1.340812595  1.76728023
#>   [8,] -0.316863142 -0.373356788 -0.779670266  0.24875086
#>   [9,] -0.148844390  0.759333255 -0.285550585 -0.39149173
#>  [10,] -0.377319658  0.357402758 -0.578657543 -0.14502190
#>  [11,]  0.043368214  0.982147428  0.009998818 -0.57335662
#>  [12,] -0.170273804 -0.618066644 -0.769921473  0.38971076
#>  [13,]  0.312194123  1.175519666  0.919477339 -0.98971069
#>  [14,]  0.393334550 -1.266743960 -0.186352785  1.03561184
#>  [15,]  0.356084595 -1.236702146 -0.291114644  0.96428984
#>  [16,]  0.292747918  1.173960382  0.793478603 -0.93916341
#>  [17,] -0.433558191  0.030245476 -0.710521347  0.03215812
#>  [18,]  0.279800916 -1.164339382 -0.446186978  0.84444213
#>  [19,]  0.179013046  1.108657274  0.328722022 -0.73587670
#>  [20,]  0.338011903  0.886755630  2.495660195 -1.53486521
#>  [21,] -0.158753910 -0.634656230 -0.767559052  0.39982335
#>  [22,]  0.458806629 -1.301534430  0.096591196  1.20452274
#>  [23,] -0.374914162 -0.240763820 -0.767918445  0.17649706
#>  [24,] -0.327997092  0.472877807 -0.512718458 -0.21083961
#>  [25,] -0.309148106 -0.388588118 -0.780302806  0.25718630
#>  [26,]  0.503115012 -1.221066714  0.858655280  1.57032763
#>  [27,] -0.192707229  0.699404362 -0.342701422 -0.35069878
#>  [28,]  0.100937924 -0.965702585 -0.650880683  0.63347477
#>  [29,] -0.231226753 -0.525299800 -0.778872534  0.33468514
#>  [30,] -0.294938174  0.536613848 -0.470965863 -0.24845697
#>  [31,] -0.270527055 -0.459654098 -0.781199310  0.29702960
#>  [32,]  0.328953372  1.171355724  1.054747897 -1.04232680
#>  [33,] -0.385471385  0.334332569 -0.590479873 -0.13215941
#>  [34,] -0.290579096  0.544481946 -0.465517471 -0.25317859
#>  [35,]  0.250379344 -1.133850260 -0.491844263  0.80445625
#>  [36,] -0.106404923  0.813450313 -0.227856803 -0.43042512
#>  [37,] -0.340840829 -0.323091555 -0.776517266  0.22113275
#>  [38,]  0.313035671  1.175456541  0.925562720 -0.99211283
#>  [39,]  0.292275033  1.173861770  0.790708641 -0.93803399
#>  [40,]  0.332381200  1.169549614  1.087038913 -1.05465739
#>  [41,]  0.280746031 -1.165299199 -0.444612847  0.84577397
#>  [42,] -0.431549085 -0.001156797 -0.719458200  0.04883071
#>  [43,]  0.041647968  0.980370884  0.006790716 -0.57157850
#>  [44,] -0.115487525  0.802151222 -0.240443479 -0.42210494
#>  [45,] -0.274807748 -0.452142122 -0.781268210  0.29277652
#>  [46,]  0.201722643 -1.081212152 -0.555195310  0.74368649
#>  [47,] -0.114939785  0.802836781 -0.239688414 -0.42260668
#>  [48,] -0.216219801 -0.549024130 -0.777240502  0.34853476
#>  [49,]  0.029951839 -0.880531477 -0.697356542  0.56506880
#>  [50,]  0.210840189 -1.091259689 -0.544333267  0.75462910
#>  [51,]  0.234562473  1.148394230  0.517724394 -0.82227409
#>  [52,]  0.088781804 -0.951309154 -0.659891321  0.62129694
#>  [53,] -0.326587160  0.475765231 -0.510914826 -0.21252131
#>  [54,]  0.057677013 -0.914107167 -0.680904525  0.59103711
#>  [55,] -0.317182712 -0.372717017 -0.779640373  0.24839726
#>  [56,] -0.399844258 -0.165864351 -0.756491791  0.13635679
#>  [57,]  0.206490864  0.433092132  3.790102536 -1.92135152
#>  [58,] -0.422533774  0.190980576 -0.654952385 -0.05376629
#>  [59,]  0.190897895 -1.069184199 -0.567547675  0.73093450
#>  [60,] -0.356790735  0.409515275 -0.550345695 -0.17440252
#>  [61,] -0.389923972  0.320972217 -0.597134192 -0.12474698
#>  [62,]  0.240281587  1.151819891  0.540406987 -0.83226301
#>  [63,] -0.391718459  0.315411986 -0.599862695 -0.12166961
#>  [64,] -0.033318408 -0.249814406  5.451375784 -2.38889537
#>  [65,] -0.021719794  0.163187650  4.654261110  2.88901054
#>  [66,]  0.219852722  1.138930554  0.462546199 -0.79765520
#>  [67,]  0.376174532 -1.253489140 -0.237820644  1.00134224
#>  [68,]  0.200220227  1.125031050  0.395048305 -0.76688281
#>  [69,]  0.257342679  1.161056728  0.612832584 -0.86367659
#>  [70,]  0.036395973  0.974926477 -0.002906170 -0.56618278
#>  [71,]  0.345245633 -1.227170660 -0.317264768  0.94544665
#>  [72,]  0.246500596  1.155366003  0.565939254 -0.84341922
#>  [73,] -0.002905467 -0.840202685 -0.714398692  0.53531157
#>  [74,]  0.028565340 -0.878842502 -0.698126890  0.56379301
#>  [75,]  0.045622577  0.984470526  0.014227425 -0.57569511
#>  [76,] -0.363637046  0.392932804 -0.559602656 -0.16500106
#>  [77,]  0.213515578 -1.094192921 -0.541063442  0.75787641
#>  [78,] -0.218787145 -0.545011220 -0.777547162  0.34618225
#>  [79,]  0.326867173 -1.210364181 -0.358066622  0.91505576
#>  [80,] -0.414635621  0.230935479 -0.638472409 -0.07539203
#>  [81,]  0.327845814  1.171855346  1.044721085 -1.03848068
#>  [82,] -0.236651609 -0.516557491 -0.779365503  0.32961595
#>  [83,] -0.215118451  0.666890355 -0.371199547 -0.32939461
#>  [84,]  0.421295982 -1.285488426 -0.086834150  1.09835239
#>  [85,] -0.094040848 -0.723661340 -0.750428900  0.45585888
#>  [86,]  0.326920372  1.172243761  1.036483721 -1.03531473
#>  [87,] -0.433570716  0.030548165 -0.710432224  0.03199732
#>  [88,]  0.103783371 -0.969059233 -0.648702960  0.63635551
#>  [89,] -0.276439253 -0.449257722 -0.781284188  0.29114624
#>  [90,] -0.419344938 -0.086484028 -0.740690187  0.09411040
#>  [91,]  0.290356453  1.173436753  0.779591161 -0.93349268
#>  [92,] -0.253878366  0.606900292 -0.419788008 -0.29134061
#>  [93,]  0.270784134  0.635672783  3.250285222 -1.76396273
#>  [94,]  0.352938370  1.144902552  1.347620032 -1.15131434
#>  [95,] -0.363621046  0.392972396 -0.559580835 -0.16502345
#>  [96,] -0.370583723 -0.252203505 -0.769363652  0.18266223
#>  [97,] -0.377025645 -0.235052614 -0.767167009  0.17342300
#>  [98,]  0.500089012 -1.276882468  0.530568292  1.42367453
#>  [99,]  0.313030040 -1.197240155 -0.386205636  0.89331195
#> [100,] -0.413494160  0.236011053 -0.636299034 -0.07814992
#> 
#> $S
#> $S[[1]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    1    0    0    0
#> [2,]    0    1    0    0
#> [3,]    0    0    1    0
#> [4,]    0    0    0    0
#> 
#> $S[[2]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    0    0    0    0
#> [2,]    0    0    0    0
#> [3,]    0    0    0    0
#> [4,]    0    0    0    1
#> 
#> 
#> $rank
#> [1] 3 1
#> 
#> $null.space.dim
#> [1] 0
#> 
#> $df
#> [1] 4
#> 
#> $xp
#>          0%         25%         50%         75%        100% 
#> -2.84358222 -0.72177745 -0.01628823  0.61373839  3.32013423 
#> 
#> $F
#>  [1]  0.00000000  0.00000000  0.00000000  0.00000000  0.00000000  0.51752901
#>  [7] -2.49450829  2.49227487 -0.52564437  0.01034878 -0.13980647  3.93046200
#> [13] -7.92081679  4.21310810 -0.08294684  0.01320004 -0.37110044  2.17504419
#> [19] -2.15721302  0.34006924  0.00000000  0.00000000  0.00000000  0.00000000
#> [25]  0.00000000
#> 
#> $noterp
#> [1] TRUE
#> 
#> $plot.me
#> [1] TRUE
#> 
#> $side.constrain
#> [1] TRUE
#> 
#> $repara
#> [1] TRUE
#> 
#> $S.scale
#> [1] 7.017398 1.000000
#> 
#> $diagRP
#>             [,1]       [,2]      [,3]      [,4]
#> [1,]  0.06288965  1.1368533 -3.397410 0.9201130
#> [2,] -0.42984231  0.0583048 -1.319476 0.2989528
#> [3,]  0.05970159 -0.7186529 -4.412153 2.2011965
#> [4,] -0.02034212  0.1735171  4.428854 2.9877881
#> 
#> attr(,"class")
#> [1] "cr.smooth"   "mgcv.smooth"
#> attr(,"qrc")
#> $qr
#>             [,1]
#> [1,] -0.61301154
#> [2,]  0.66814672
#> [3,]  0.11950097
#> [4,]  0.72971607
#> [5,]  0.04423047
#> 
#> $rank
#> [1] 1
#> 
#> $qraux
#> [1] 1.069696
#> 
#> $pivot
#> [1] 1
#> 
#> attr(,"class")
#> [1] "qr"
#> attr(,"nCons")
#> [1] 1
#> 
#> $Smooth$x4
#> $term
#> [1] "x4"
#> 
#> $bs.dim
#> [1] 5
#> 
#> $fixed
#> [1] FALSE
#> 
#> $dim
#> [1] 1
#> 
#> $p.order
#> [1] NA
#> 
#> $by
#> [1] "NA"
#> 
#> $label
#> [1] "s(x4)"
#> 
#> $xt
#> NULL
#> 
#> $id
#> NULL
#> 
#> $sp
#> NULL
#> 
#> $X
#>             x4.pen1      x4.pen2     x4.pen3    x4.null1
#>   [1,] -0.470716110  0.028407861  1.04188184 -0.06704909
#>   [2,]  0.047448529 -0.970871068  0.64721750  0.51540179
#>   [3,]  0.407572262  1.404571252 -0.44568039 -1.30476113
#>   [4,] -0.045137361  0.225409525 -5.43970951  2.68818900
#>   [5,]  0.035260793 -0.957538201  0.66088579  0.50472156
#>   [6,]  0.245892631 -1.173149881  0.34203283  0.71928981
#>   [7,] -0.093148904 -0.809757955  0.78470738  0.39770997
#>   [8,]  0.336831454 -0.676828531 -3.12765817  2.02502022
#>   [9,]  0.278024123  1.349262893  0.20988467 -0.98818753
#>  [10,] -0.466005594 -0.068427232  1.03647996 -0.01778996
#>  [11,]  0.309620150  1.374012734  0.10457285 -1.04484353
#>  [12,] -0.007677796 -0.909747828  0.70598575  0.46807013
#>  [13,] -0.470765422  0.015403385  1.04146052 -0.06044569
#>  [14,] -0.096673219 -0.805464837  0.78769839  0.39484016
#>  [15,] -0.346690684 -0.435760537  0.96538336  0.17481015
#>  [16,]  0.012575207  1.061079731  0.70573635 -0.65866521
#>  [17,] -0.166243931  0.821951640  0.87254675 -0.49415844
#>  [18,] -0.470727159  0.010148669  1.04126366 -0.05777677
#>  [19,]  0.101734171 -1.029189326  0.58059491  0.56503784
#>  [20,] -0.232310472 -0.625509340  0.89131664  0.28234008
#>  [21,] -0.291521034 -0.533830813  0.93088588  0.22933842
#>  [22,] -0.397897988 -0.325286084  0.99578328  0.11537561
#>  [23,]  0.399123498  1.407847422 -0.36956501 -1.27155069
#>  [24,]  0.117408580  1.185933369  0.56339734 -0.76866220
#>  [25,] -0.453807335 -0.144949013  1.02845739  0.02138205
#>  [26,] -0.377484729  0.440411741  1.00608246 -0.27867753
#>  [27,] -0.449728289  0.211788975  1.03786574 -0.16025508
#>  [28,] -0.035209756 -0.224374100 -5.18389800 -2.85110080
#>  [29,]  0.304768707  0.750696885 -2.88189447 -2.16698593
#>  [30,] -0.222705511 -0.639434124  0.88461532  0.29060005
#>  [31,]  0.407960386  1.117467118 -1.83996964 -1.83008169
#>  [32,]  0.389415606  1.409104769 -0.29425724 -1.23796720
#>  [33,]  0.500967156 -1.225583407 -1.22367257  1.40857275
#>  [34,] -0.266090611 -0.574565657  0.91424258  0.25261164
#>  [35,]  0.255999201 -1.182426433  0.32069404  0.73178378
#>  [36,]  0.420101716 -0.901696784 -2.46432922  1.82245278
#>  [37,]  0.083620666 -1.009927970  0.60394060  0.54806974
#>  [38,] -0.156357290  0.836388809  0.86488378 -0.50313531
#>  [39,]  0.242744860  1.317806083  0.30894962 -0.93190319
#>  [40,]  0.311226556  1.375162816  0.09869393 -1.04792163
#>  [41,]  0.098286701 -1.025539593  0.58512980  0.56177503
#>  [42,]  0.181747152  0.383018771 -3.78683980 -2.44163602
#>  [43,] -0.361370131  0.477957742  0.99781518 -0.29861070
#>  [44,]  0.411207462 -1.297681431 -0.16081360  0.97965129
#>  [45,]  0.223350604 -1.151989615  0.38697316  0.69238926
#>  [46,] -0.444767161  0.234158530  1.03609638 -0.17168437
#>  [47,]  0.223669789  0.504831558 -3.49533671 -2.35439926
#>  [48,]  0.015398403  1.064564578  0.70247879 -0.66141261
#>  [49,]  0.071964450 -0.043239815 -4.77585763  2.50124845
#>  [50,] -0.464952498  0.118617577  1.04223082 -0.11283744
#>  [51,]  0.335977739 -1.249910471  0.11832741  0.84285198
#>  [52,]  0.501042196 -1.227890617 -1.21117723  1.40405865
#>  [53,]  0.400915800  1.087203484 -1.93642460 -1.86261926
#>  [54,]  0.051183897  1.108179843  0.65870318 -0.69714966
#>  [55,] -0.184304896 -0.693017242  0.85694586  0.32299344
#>  [56,]  0.025875656  1.077439548  0.69015226 -0.67169332
#>  [57,]  0.289732338 -0.558520551 -3.45264000  2.12131641
#>  [58,] -0.440560563 -0.200244401  1.02054241  0.04990385
#>  [59,]  0.333092012  1.389524132  0.01240693 -1.09217899
#>  [60,]  0.407075537  1.404835343 -0.44085894 -1.30267813
#>  [61,] -0.218097104 -0.646035898  0.88136996  0.29453778
#>  [62,] -0.356227580 -0.417002469  0.97114799  0.16458703
#>  [63,]  0.381666578 -1.281614454 -0.03598599  0.92039392
#>  [64,]  0.246440696  1.321256550  0.29932321 -0.93751645
#>  [65,] -0.466254388  0.106549555  1.04244440 -0.10670977
#>  [66,]  0.299881999 -1.220928791  0.21799796  0.78968897
#>  [67,]  0.493270625 -1.284290866 -0.83559984  1.26368838
#>  [68,] -0.470752363  0.013037231  1.04137377 -0.05924395
#>  [69,]  0.159552762  1.232945627  0.49078141 -0.81867770
#>  [70,]  0.276375397  1.347873133  0.21490366 -0.98541054
#>  [71,] -0.467250735 -0.056347162  1.03744112 -0.02394966
#>  [72,] -0.232439361  0.719933935  0.92033780 -0.43295110
#>  [73,]  0.386570816 -0.807718885 -2.75082015  1.91107910
#>  [74,] -0.396863653 -0.327812507  0.99518077  0.11671581
#>  [75,] -0.290534349  0.620326117  0.95769287 -0.37617535
#>  [76,]  0.499993511 -1.257147931 -1.03812374  1.34056460
#>  [77,]  0.038870146  1.093286728  0.67431251 -0.68464801
#>  [78,]  0.189664511  1.265056862  0.43173079 -0.85711266
#>  [79,]  0.259738588  1.333386995  0.26330733 -0.95823286
#>  [80,] -0.470404557 -0.005754757  1.04057431 -0.04969634
#>  [81,] -0.415376012  0.338581694  1.02405636 -0.22541486
#>  [82,] -0.341472766 -0.445755655  0.96220645  0.18028221
#>  [83,] -0.240271513 -0.613790496  0.89680814  0.27543507
#>  [84,] -0.466254546  0.106547993  1.04244443 -0.10670898
#>  [85,]  0.051104060  0.004786675 -4.89507420  2.53489887
#>  [86,] -0.468061378 -0.047258698  1.03810991 -0.02858046
#>  [87,]  0.501048905 -1.228129825 -1.20987391  1.40358728
#>  [88,] -0.169509923  0.817141698  0.87504651 -0.49118698
#>  [89,]  0.020662377 -0.941440622  0.67672428  0.49210669
#>  [90,]  0.496120032 -1.276523195 -0.90031368  1.28858099
#>  [91,] -0.468593693  0.079419101  1.04263112 -0.09293907
#>  [92,]  0.348121523  1.397725063 -0.05500012 -1.12564917
#>  [93,] -0.149891919 -0.738605180  0.83084842  0.35141570
#>  [94,]  0.236801603 -1.164691219  0.36058155  0.70828643
#>  [95,] -0.157274116 -0.728997464  0.83655792  0.34535285
#>  [96,]  0.028382507  1.080506979  0.68714544 -0.67417414
#>  [97,]  0.337789763 -1.251286409  0.11287754  0.84568329
#>  [98,]  0.147211122  1.219409465  0.51316639 -0.80360922
#>  [99,] -0.049665824 -0.861548409  0.74624709  0.43324125
#> [100,] -0.470033284 -0.015924440  1.04005963 -0.04452648
#> 
#> $S
#> $S[[1]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    1    0    0    0
#> [2,]    0    1    0    0
#> [3,]    0    0    1    0
#> [4,]    0    0    0    0
#> 
#> $S[[2]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    0    0    0    0
#> [2,]    0    0    0    0
#> [3,]    0    0    0    0
#> [4,]    0    0    0    1
#> 
#> 
#> $rank
#> [1] 3 1
#> 
#> $null.space.dim
#> [1] 0
#> 
#> $df
#> [1] 4
#> 
#> $xp
#>          0%         25%         50%         75%        100% 
#> -2.55379444 -0.51114527  0.09999144  0.61653166  2.65007950 
#> 
#> $F
#>  [1]   0.00000000   0.00000000   0.00000000   0.00000000   0.00000000
#>  [6]   0.57168935  -3.01255864   3.13152753  -0.70679195   0.01613372
#> [11]  -0.15859016   5.29216887 -11.13177528   6.13831398  -0.14011741
#> [16]   0.01606184  -0.53598504   3.40493253  -3.47771135   0.59270202
#> [21]   0.00000000   0.00000000   0.00000000   0.00000000   0.00000000
#> 
#> $noterp
#> [1] TRUE
#> 
#> $plot.me
#> [1] TRUE
#> 
#> $side.constrain
#> [1] TRUE
#> 
#> $repara
#> [1] TRUE
#> 
#> $S.scale
#> [1] 13.81788  1.00000
#> 
#> $diagRP
#>             [,1]        [,2]      [,3]      [,4]
#> [1,]  0.05248182  1.22049914  3.843898 1.0611478
#> [2,] -0.46392296 -0.02792825  1.589394 0.2771171
#> [3,]  0.08039495 -0.82957926  4.132234 2.4461351
#> [4,] -0.04148975  0.24865395 -4.902675 2.9835537
#> 
#> attr(,"class")
#> [1] "cr.smooth"   "mgcv.smooth"
#> attr(,"qrc")
#> $qr
#>            [,1]
#> [1,] -0.5887462
#> [2,]  0.6595839
#> [3,]  0.1151397
#> [4,]  0.7296532
#> [5,]  0.1120969
#> 
#> $rank
#> [1] 1
#> 
#> $qraux
#> [1] 1.082051
#> 
#> $pivot
#> [1] 1
#> 
#> attr(,"class")
#> [1] "qr"
#> attr(,"nCons")
#> [1] 1
#> 
#> $Smooth$x5
#> $term
#> [1] "x5"
#> 
#> $bs.dim
#> [1] 5
#> 
#> $fixed
#> [1] FALSE
#> 
#> $dim
#> [1] 1
#> 
#> $p.order
#> [1] NA
#> 
#> $by
#> [1] "NA"
#> 
#> $label
#> [1] "s(x5)"
#> 
#> $xt
#> NULL
#> 
#> $id
#> NULL
#> 
#> $sp
#> NULL
#> 
#> $X
#>             x5.pen1     x5.pen2      x5.pen3    x5.null1
#>   [1,]  0.453151476 -0.98278325  1.335164006  1.45651518
#>   [2,]  0.230679850  1.18886079  0.014301651 -0.77818647
#>   [3,] -0.087203619 -0.88529685 -0.757672831  0.55380072
#>   [4,] -0.384886190  0.59173992 -0.860857587 -0.25722565
#>   [5,] -0.573434172 -0.06585648 -1.042152626  0.08714114
#>   [6,]  0.193404063  1.17008457 -0.084752075 -0.73472378
#>   [7,]  0.099563939 -1.04914700 -0.559140596  0.69237310
#>   [8,]  0.261815011  1.20094339  0.111022179 -0.81889373
#>   [9,] -0.420690504  0.53344463 -0.892298440 -0.22435438
#>  [10,] -0.041596500  0.99307064 -0.495479968 -0.52634478
#>  [11,]  0.300711701  0.62267740  2.536467980 -1.59558727
#>  [12,]  0.381337173  1.16354002  0.807740528 -1.07765437
#>  [13,] -0.541175758  0.26301953 -0.995354853 -0.08011690
#>  [14,]  0.392919862 -1.20608044  0.124989562  1.02864685
#>  [15,] -0.566171423 -0.11307011 -1.042346801  0.11110189
#>  [16,]  0.058864025  1.07817417 -0.349547886 -0.60692949
#>  [17,] -0.541440519  0.26213672 -0.995589406 -0.07966111
#>  [18,]  0.225888826  0.39614881  3.071092765 -1.73934674
#>  [19,] -0.202964084 -0.76514915 -0.851315480  0.47147401
#>  [20,]  0.309135144 -1.18525259 -0.170772884  0.89894645
#>  [21,]  0.396031781  1.07154821  1.232834024 -1.21637292
#>  [22,]  0.214955389 -1.13274637 -0.381422259  0.79401462
#>  [23,]  0.307063621 -0.52287438  2.592909770  1.82526650
#>  [24,] -0.137591012 -0.83500303 -0.800561505  0.51806671
#>  [25,] -0.084382126  0.95311021 -0.550107368 -0.49356024
#>  [26,]  0.230300015 -1.14253183 -0.352253718  0.80938271
#>  [27,] -0.130899316 -0.84184961 -0.795065497  0.52281050
#>  [28,]  0.122826418  1.12560089 -0.237603919 -0.66335930
#>  [29,]  0.465717473 -1.08663582  0.957805202  1.33450311
#>  [30,] -0.520026608  0.32606037 -0.976996538 -0.11285417
#>  [31,]  0.131731902  1.13172508 -0.220302686 -0.67173870
#>  [32,]  0.054479272 -1.01266407 -0.614341873  0.65720717
#>  [33,]  0.266214179  0.51502699  2.795420041 -1.66579275
#>  [34,] -0.023100645  1.00965742 -0.470654837 -0.54072200
#>  [35,] -0.160893315  0.87584404 -0.639683517 -0.43574428
#>  [36,]  0.463357432 -1.13055259  0.763153493  1.26834868
#>  [37,] -0.237270030 -0.72609854 -0.875961447  0.44664501
#>  [38,]  0.165051766  1.15340920 -0.150794869 -0.70459419
#>  [39,]  0.313358567 -1.18708126 -0.159124581  0.90439066
#>  [40,]  0.271001275  1.20370536  0.142677659 -0.83188639
#>  [41,]  0.439558784 -0.92157871  1.529277304  1.51668418
#>  [42,]  0.042644746  1.06527358 -0.375176790 -0.59341160
#>  [43,]  0.395724180  1.05642671  1.290146768 -1.23432236
#>  [44,] -0.549371987 -0.18557112 -1.039446536  0.14808025
#>  [45,] -0.507197353 -0.30623742 -1.025803973  0.21044471
#>  [46,] -0.049045705  0.32010801  4.494491424  2.33356995
#>  [47,] -0.341805458  0.65554961 -0.821903277 -0.29429744
#>  [48,]  0.159780785  1.15011812 -0.162331186 -0.69922640
#>  [49,]  0.421816340 -1.19969626  0.283797353  1.09243346
#>  [50,]  0.300699721 -1.18143072 -0.193328485  0.88831076
#>  [51,]  0.424516508 -1.19836260  0.301722824  1.09942906
#>  [52,]  0.349540588  1.20064371  0.516928683 -0.97560038
#>  [53,]  0.283820071  0.56909706  2.666640652 -1.63102693
#>  [54,] -0.575537924  0.09002123 -1.029941398  0.00823778
#>  [55,]  0.330660815  0.72351301  2.282999435 -1.52561216
#>  [56,] -0.540841331 -0.21448858 -1.037194886  0.16291618
#>  [57,]  0.172319299 -1.10371079 -0.454740412  0.75390588
#>  [58,]  0.459099465 -1.15071161  0.659292337  1.23195922
#>  [59,]  0.392452969  1.01133596  1.450186884 -1.28365062
#>  [60,] -0.547008505  0.24283494 -1.000564969 -0.06971198
#>  [61,]  0.391036813  0.99878920  1.492384761 -1.29647485
#>  [62,]  0.265995207 -1.16364112 -0.277476210  0.84745536
#>  [63,]  0.384446140 -1.20601163  0.086546122  1.01266766
#>  [64,]  0.205203389  1.17645558 -0.055058130 -0.74795850
#>  [65,]  0.337915164  0.74952227  2.215449051 -1.50672422
#>  [66,] -0.459834157 -0.40593712 -1.005756373  0.26316655
#>  [67,]  0.422548756 -1.19935099  0.288590613  1.09430786
#>  [68,]  0.190298322  1.16834861 -0.092338652 -0.73131244
#>  [69,] -0.570577111 -0.08682527 -1.042440465  0.09777401
#>  [70,] -0.095147192 -0.87755608 -0.764672059  0.54815900
#>  [71,]  0.004075490 -0.96959023 -0.669852197  0.61953471
#>  [72,] -0.572474934 -0.07340040 -1.042293229  0.09096514
#>  [73,]  0.331021665  0.72478877  2.279709242 -1.52469465
#>  [74,] -0.384373549 -0.53253547 -0.967630133  0.33247191
#>  [75,] -0.428018746  0.52078082 -0.898644837 -0.21732178
#>  [76,]  0.386982585 -1.20610239  0.097759665  1.01735218
#>  [77,] -0.575083384 -0.05111552 -1.041757818  0.07967287
#>  [78,] -0.536254037 -0.22877257 -1.035849000  0.17026698
#>  [79,] -0.087011476  0.95058090 -0.553348066 -0.49156170
#>  [80,] -0.361579024 -0.56611415 -0.954878341  0.35144091
#>  [81,]  0.134725916 -1.07621777 -0.511470752  0.72119602
#>  [82,] -0.578745504  0.01859929 -1.037739680  0.04439386
#>  [83,] -0.270629910  0.74984995 -0.754251601 -0.35176497
#>  [84,] -0.110611506  0.92748773 -0.581885591 -0.47367970
#>  [85,]  0.406436397 -1.20459945  0.192971052  1.05636950
#>  [86,]  0.177263710  1.16081260 -0.123207025 -0.71730136
#>  [87,] -0.204975105  0.82760969 -0.687422491 -0.40237668
#>  [88,]  0.328944997  1.20812617  0.392844186 -0.92974292
#>  [89,]  0.184316135 -1.11213171 -0.435160996  0.76483914
#>  [90,] -0.311293264 -0.63492154 -0.924862755  0.39129362
#>  [91,] -0.578115493  0.05150729 -1.034609881  0.02774335
#>  [92,] -0.558755873 -0.14867451 -1.041409550  0.12922759
#>  [93,] -0.007703054  1.02315206 -0.449363585 -0.55281593
#>  [94,]  0.360302189 -1.20266738 -0.009809343  0.97155994
#>  [95,]  0.457382828 -1.15623040  0.628340668  1.22095187
#>  [96,]  0.293035971 -1.17777472 -0.213051385  0.87890608
#>  [97,] -0.059235167 -0.36693765  4.719436280 -2.16467190
#>  [98,] -0.536330322  0.27868983 -0.991088986 -0.08821875
#>  [99,] -0.189368731  0.84502234 -0.670807839 -0.41422269
#> [100,] -0.503474481 -0.31500424 -1.024369233  0.21503001
#> 
#> $S
#> $S[[1]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    1    0    0    0
#> [2,]    0    1    0    0
#> [3,]    0    0    1    0
#> [4,]    0    0    0    0
#> 
#> $S[[2]]
#>      [,1] [,2] [,3] [,4]
#> [1,]    0    0    0    0
#> [2,]    0    0    0    0
#> [3,]    0    0    0    0
#> [4,]    0    0    0    1
#> 
#> 
#> $rank
#> [1] 3 1
#> 
#> $null.space.dim
#> [1] 0
#> 
#> $df
#> [1] 4
#> 
#> $xp
#>         0%        25%        50%        75%       100% 
#> -2.3329545 -0.6474335  0.1704567  0.9207252  2.7242703 
#> 
#> $F
#>  [1]  0.00000000  0.00000000  0.00000000  0.00000000  0.00000000  0.74381633
#>  [7] -2.69098512  2.46515246 -0.54558187  0.02759820 -0.20103707  3.15153158
#> [13] -6.12139965  3.33985117 -0.16894603  0.02953069 -0.46293409  2.46490784
#> [19] -2.70765716  0.67615271  0.00000000  0.00000000  0.00000000  0.00000000
#> [25]  0.00000000
#> 
#> $noterp
#> [1] TRUE
#> 
#> $plot.me
#> [1] TRUE
#> 
#> $side.constrain
#> [1] TRUE
#> 
#> $repara
#> [1] TRUE
#> 
#> $S.scale
#> [1] 11.94374  1.00000
#> 
#> $diagRP
#>             [,1]        [,2]      [,3]      [,4]
#> [1,]  0.16079747  1.34848149 -3.079930 0.6402166
#> [2,] -0.56189970  0.08207692 -2.305081 0.6422017
#> [3,]  0.18048629 -0.85965587 -3.375484 2.0494008
#> [4,] -0.04538568  0.34278039  4.202887 2.4673209
#> 
#> attr(,"class")
#> [1] "cr.smooth"   "mgcv.smooth"
#> attr(,"qrc")
#> $qr
#>            [,1]
#> [1,] -0.5532071
#> [2,]  0.6659997
#> [3,]  0.2959337
#> [4,]  0.6733228
#> [5,]  0.0682240
#> 
#> $rank
#> [1] 1
#> 
#> $qraux
#> [1] 1.104161
#> 
#> $pivot
#> [1] 1
#> 
#> attr(,"class")
#> [1] "qr"
#> attr(,"nCons")
#> [1] 1
#> 
#>