R - DATAFRAME
Enviado por Grecia Rojas • 11 de Diciembre de 2022 • Trabajo • 10.070 Palabras (41 Páginas) • 136 Visitas
R Básico - Tarea 2
Grecia Rojas
2022-12-10
1. Dataframes
- Crear un dataframe con 4 columnas donde cada columna sea un vector de de números aleatorios de una distribución normal estándar, tstudent con 10 grados de libertad, uni forme con minimo 2 y máximo 10 , χ2 con 20 grados de libertad y nombrar las columnas norm, tstudent, unif, chi2,fisher respectivamente cada vector aleatorio tiene tamaño de 1000 observaciones y con una semilla aleatoria set.seed(2022)
OJO: Use los 4 primeros nombres para las columnas, es decir, fisher no use para nombrar a las columas
set.seed(2022)
norm <- rnorm(n=1000,mean=0,sd=1)
tstudent <- rt(n=1000,df=10)
unif <- runif(n=1000,min=2,max=10)
chi <- rchisq(n=1000,df=20,ncp=0)
data_frame <- data.frame(norm,tstudent,unif,chi)
- Agregar en el dataframe creado en a) una columna que sea
[pic 1]
- , donde Z es los números aleatorios de la distribución normal estándar simulada norm y normbrarlo a esa nueva variable stat
El valor de T es:
T<-nrow(data_frame)
T
## [1] 1000
data_frame$stat <- data_frame$norm/sqrt(data_frame$chi/T)
data_frame
## norm tstudent unif chi stat
## 1 0.9001419864 -0.949955309 8.861955 23.178103 5.912512497
## 2 -1.1733457726 0.405833833 2.018533 17.627978 -8.837405022
## 3 -0.8974853613 0.441951591 9.193662 20.409723 -6.282157469
## 4 -1.4445014003 1.715722275 8.862963 14.771138 -11.885322954
## 5 -0.3310135784 1.489431504 5.286276 20.995755 -2.284441631
## 6 -2.9006289874 0.012302003 7.422149 23.250902 -19.022705201
## 7 -1.0592557280 0.344824513 9.570929 12.619899 -9.429157133
## 8 0.2779547380 -0.077943690 4.820645 28.605825 1.643413466
## 9 0.7494859184 -0.836185226 7.279654 27.329492 4.533646930
## 10 0.2415825367 -0.474491190 5.285570 17.105042 1.847155524
## 11 1.0061857035 -1.585499665 6.626127 19.270081 7.248303571
## 12 -0.1851460252 -0.294172130 7.728012 17.499372 -1.399597528
## 13 -0.9818267132 0.548535031 9.685907 29.461550 -5.720145177
## 14 0.0929079452 0.314394943 2.098426 24.376435 0.595069591
## 15 -0.0527843956 1.472966574 3.873579 13.353932 -0.456773573
## 16 -0.0803278985 1.416677377 9.752276 12.034100 -0.732250367
## 17 -0.6541036672 0.444168643 6.175133 17.449444 -4.951716675
## 18 -0.9506835091 -0.614827040 3.718087 17.681129 -7.149587103
## 19 1.0195617628 1.221727921 9.937383 11.352248 9.569133502
## 20 0.8590464123 0.901199513 7.791108 22.414757 5.737855496
## 21 0.3644607838 -0.459348711 6.126254 16.962135 2.798404875
## 22 0.3836510006 1.078027058 9.058949 16.351200 3.000278172
## 23 1.1134057173 -0.581394331 5.296265 22.530261 7.417718300
## 24 1.2115097872 1.248185227 8.329850 32.080389 6.764054788
## 25 -0.3483254616 -3.077113475 4.627145 17.463993 -2.635806058
## 26 -0.8595534470 -1.930827063 2.347892 17.939917 -6.417452645
## 27 0.6500271876 0.347238995 8.545664 25.918957 4.037595050
## 28 0.3280591305 -0.308774693 8.906246 21.394191 2.242870503
## 29 -0.5179465726 -0.129293062 3.890886 17.539252 -3.910924521
## 30 -0.2389821494 0.301037296 6.253849 19.812875 -1.697820245
## 31 0.1177788551 -0.896771065 9.643407 22.387559 0.787161711
## 32 0.8315184531 -0.237907432 6.438004 15.826980 6.609564894
## 33 -1.5589189187 1.334964155 7.446028 12.348987 -14.028391123
## 34 -0.2205190692 1.555122282 9.180198 18.176014 -1.635674265
## 35 -0.8171944300 0.148383746 6.787352 20.902214 -5.652352684
## 36 1.0766774418 -0.380588330 4.914475 19.373945 7.735289738
## 37 1.0796640038 0.684045461 8.502474 18.268351 7.988016506
## 38 0.1421281050 -1.461730380 9.609090 22.293929 0.951889764
## 39 0.1569795464 1.141369466 7.568043 32.558331 0.869985481
## 40 -0.1687202649 -1.079726249 2.802998 10.150064 -1.674683938
## 41 -0.2690376923 -0.636124237 2.076229 17.731382 -2.020420848
## 42 0.8077684190 1.163800139 5.452537 14.374371 6.737401790
## 43 -1.1247172385 -0.565519006 8.148912 18.176111 -8.342435772
## 44 -1.4307880222 -0.055038831 7.933136 17.517747 -10.810260728
## 45 0.0603566777 0.082385867 6.623145 20.227498 0.424379345
## 46 -0.7929824951 -0.891629389 8.722322 16.688960 -6.138312123
## 47 0.3402759320 0.502779089 2.934441 35.363560 1.809477736
## 48 -0.2594687296 -0.651595362 7.155343 23.535193 -1.691321389
## 49 -1.3048486472 -0.667983547 6.403191 21.998438 -8.797600029
## 50 0.3681734419 0.726970893 3.487397 12.174981 3.336708876
## 51 1.6931900163 -0.599920248 7.001899 19.250376 12.203547311
## 52 0.9958370216 0.294081390 2.824754 20.178908 7.010345697
## 53 0.1867521355 -0.542371916 7.209345 21.381505 1.277163345
## 54 1.2383373981 -0.747450941 5.119213 21.288562 8.487227115
## 55 0.3093732975 -1.239803868 2.833702 13.443917 2.668209420
## 56 0.6357179289 1.029203324 7.007262 18.774113 4.639644969
## 57 0.0231832746 -0.380158027 7.022368 25.674136 0.144686118
## 58 1.1778636025 -1.894760216 8.512364 21.852561 7.967899147
## 59 -0.4535465997 0.093669871 8.478514 9.819639 -4.576928838
## 60 0.4159275387 -0.358983810 2.565086 18.056230 3.095309894
## 61 -1.3384423905 -1.583638669 3.894075 22.279988 -8.966897555
## 62 -1.2919747384 -0.540785945 5.379825 15.407037 -10.408651297
## 63 -0.3090742140 -0.336491135 6.322166 20.971215 -2.134277948
## 64 0.1565120930 1.430354921 7.292403 13.425183 1.350789836
## 65 -0.8339167519 -1.325289741 7.208106 23.667572 -5.420581085
## 66 -0.0245492831 -0.644661190 7.982116 29.761642 -0.142301791
## 67 -1.1373515517 0.258610939 4.309531 25.231133 -7.160219716
## 68 1.0720542475 0.605904904 4.265572 21.729284 7.272672832
## 69 2.3144985818 -0.641265196 6.550879 17.940421 17.279875350
## 70 0.4229731050 -0.400637454 8.215831 12.362886 3.804107896
## 71 -0.1369390472 0.860075661 5.169015 16.463980 -1.067234580
## 72 1.3283965235 -1.350771286 2.803141 16.878457 10.224953892
## 73 0.4365356654 -0.291366359 3.099053 27.135116 2.650048935
## 74 0.0664285143 -1.089473457 4.622415 25.568107 0.415437073
## 75 1.3046598096 -1.195142737 5.962405 18.896968 9.490764984
## 76 -0.2092595391 0.249196034 5.726032 17.815071 -1.567802998
## 77 1.0182530373 1.251440885 8.524797 21.914870 6.878381549
## 78 1.3660349627 0.169187131 3.045355 24.324249 8.758749261
## 79 1.4766958489 -1.117522022 5.151633 18.991912 10.715358561
## 80 0.8873065312 0.301541855 6.348733 16.940128 6.817345915
## 81 -1.0159088995 2.250674132 3.238795 20.584690 -7.080804508
## 82 1.8708690611 -1.901800811 5.852372 12.572048 16.685544536
## 83 1.0761984197 -0.976480723 8.237163 25.756749 6.705741780
## 84 -1.0744076288 -0.333171272 2.030592 19.764090 -7.642416008
## 85 -2.1955759736 0.536801355 2.913925 12.166425 -19.905219578
## 86 0.5345445686 -0.184083096 8.064003 18.153467 3.967383014
## 87 1.3437334294 0.402468877 3.548928 19.027868 9.741325560
## 88 1.3850035412 0.594503502 8.578456 19.866508 9.826302250
## 89 2.7469267754 -1.512067714 9.578177 18.311113 20.299704054
## 90 -0.0459446885 0.872395833 3.528919 19.337684 -0.330394703
## 91 0.7430853392 0.568650975 9.221659 20.601566 5.177124043
## 92 0.2604246953 -0.562885031 9.293875 14.605438 2.154888820
## 93 0.4282819038 -1.201527599 7.538869 24.945742 2.711636747
## 94 -0.3682587539 0.787679789 8.902094 13.219512 -3.202914627
## 95 2.8874233035 -2.048961406 3.101193 13.415578 24.929051950
## 96 -0.6070726438 -0.126235156 8.874806 19.424834 -4.355740555
## 97 -1.8791987367 -0.473753205 7.942706 17.184851 -14.335070071
## 98 0.7183565687 0.327984186 5.444539 18.955411 5.217632188
## 99 0.2514255690 0.003154999 6.531900 19.999721 1.777859658
## 100 0.4670229731 0.392007857 2.846376 40.637213 2.316734614
## 101 -0.2178883804 0.641750983 7.540957 22.269373 -1.460091498
## 102 -1.2176477072 -0.293607892 8.794883 9.711968 -12.355719607
## 103 -0.7540785053 -0.727070691 7.311106 21.513361 -5.141175542
## 104 0.1912301808 0.949970916 5.293504 19.312845 1.376047143
## 105 1.0472827647 -0.280169404 6.649656 16.536954 8.143970650
## 106 1.0898283851 -0.653623880 8.664007 25.227707 6.861502500
## 107 0.6954744193 -0.746115205 7.624712 16.385257 5.433185490
## 108 -0.5243687565 0.321524093 8.382304 12.862161 -4.623595596
## 109 0.2640159292 -0.023446364 9.085762 16.564525 2.051354146
## 110 1.2412003931 -3.215762288 3.972774 26.552556 7.617083843
## 111 0.6432972388 0.435575633 3.584233 9.270134 6.681418714
## 112 -0.9967626092 0.935355808 2.356389 19.913878 -7.063400238
## 113 -2.0022984544 0.114797671 5.556619 23.812246 -12.975635469
## 114 -0.4758391069 -2.963686305 8.669020 11.236646 -4.488919147
## 115 0.0441799819 0.920004540 8.074719 11.819479 0.406374432
## 116 -1.3811353585 -0.475663289 3.268132 22.979231 -9.111051491
## 117 0.2475196546 0.677690635 6.739815 13.580119 2.124016584
## 118 0.2241896503 -0.816458459 9.820595 14.891765 1.837140933
## 119 0.8614789440 1.106342497 7.739476 18.013325 6.418709640
## 120 -0.9267622646 -0.177648339 5.902061 18.774749 -6.763652239
## 121 -0.3204430048 1.614884173 3.798792 23.426153 -2.093631813
## 122 0.6730247768 1.759551545 3.819228 9.336543 6.965270555
## 123 -1.2656297570 0.650103493 3.186014 14.881556 -10.374866060
## 124 -0.5185209625 -1.192397617 2.335777 30.467770 -2.970612375
## 125 1.1224941256 1.843022469 8.129453 10.397058 11.008517489
## 126 -0.3159775355 -0.945201969 7.812765 25.226831 -1.989412581
## 127 -1.7582992036 -0.878447958 4.269243 28.146460 -10.480473103
## 128 1.2372534383 0.615073149 2.365097 11.640521 11.467598171
## 129 -1.6639523691 -0.752749631 7.285726 20.504083 -11.620390273
## 130 1.8557344565 0.828233211 8.522489 10.338613 18.250916766
## 131 1.0579974148 1.555089953 7.825412 22.487758 7.055235690
## 132 0.0372688165 0.647654293 4.242039 25.042858 0.235506910
## 133 0.0046050228 0.711029861 4.268586 25.281791 0.028961954
## 134 -1.9438342733 -0.722788581 3.615719 12.553972 -17.348768486
## 135 -1.5696234099 -0.006963540 5.222288 17.636751 -11.819148063
## 136 -0.2732971595 0.652265088 5.872448 17.096397 -2.090175836
## 137 0.4688538197 -0.375760636 3.374993 17.866605 3.507651473
## 138 1.0325387621 1.543512305 7.316514 10.094809 10.276785769
## 139 -1.4183961042 -1.168382684 3.019681 26.369734 -8.734632868
## 140 -0.0878775027 0.229846296 9.583964 20.037823 -0.620801049
## 141 1.5786307482 -0.868716968 4.623101 30.691595 9.010955138
## 142 0.2446249324 -0.781817133 6.642360 20.163628 1.722726673
## 143 1.4970934975 0.934302696 9.779099 20.432009 10.473537404
## 144 0.9159064189 0.440824755 9.032423 14.642940 7.568973037
## 145 0.3208411912 0.956802565 9.076730 18.202133 2.378093802
## 146 0.5627242746 1.869654483 9.906469 13.993174 4.757047979
## 147 0.5392953179 -1.071394874 5.212221 23.495902 3.518281532
## 148 -1.0734049113 0.013652993 4.361755 43.999195 -5.117303948
## 149 -1.8831606284 0.101217134 7.091450 23.630446 -12.250432162
## 150 0.9113902007 0.241778887 5.666247 15.685023 7.277157403
## 151 0.0495963525 0.013362574 9.971283 17.100120 0.379271456
## 152 -1.2356549064 0.116196772 9.497706 28.738507 -7.288952058
## 153 -1.2637519076 0.911344431 4.054552 21.342805 -8.650397676
## 154 -1.1428649577 0.268163964 8.604572 17.886066 -8.545500550
## 155 0.6544117520 1.791340951 9.034651 16.675186 5.067756637
## 156 -0.6768194471 0.256112154 2.645307 12.817710 -5.978161008
## 157 -1.0739104912 0.077466146 4.411367 14.432893 -8.939050416
## 158 -0.9756581291 -0.581284504 5.622979 22.153187 -6.555103635
## 159 -1.1262746245 -0.250682349 4.638999 20.058761 -7.952290639
## 160 -1.9693127299 -2.280661579 8.621955 22.058192 -13.259578867
## 161 -0.5819889770 -0.475838955 4.314950 12.129614 -5.284346386
## 162 -1.7625071390 -1.887578234 3.974827 19.862157 -12.505978482
## 163 -0.5278260072 -1.289979873 8.874515 17.735077 -3.963457912
## 164 -1.3743275805 0.230998589 3.610107 10.430859 -13.456441127
## 165 -1.9337126049 -0.035701481 6.570988 10.065840 -19.273781324
## 166 0.9797830931 -3.522478810 9.901704 33.037767 5.390444701
## 167 -1.4956895093 -0.411175536 3.001588 21.910437 -10.104525561
## 168 1.7008095491 -0.703803116 4.251865 12.209767 15.392245859
## 169 -1.4010256902 0.106280649 7.028878 16.396001 -10.941506582
## 170 -0.4844630446 0.707040525 7.498821 15.700532 -3.866370490
## 171 -1.2161786158 0.419570676 7.949146 21.542052 -8.286169791
## 172 0.1047705189 -0.254159213 8.857599 32.751419 0.578927302
## 173 -0.2425371096 -1.200021843 3.342150 17.485940 -1.834145169
## 174 -1.4157810458 -0.103352135 3.436307 17.284885 -10.768689195
## 175 -1.0494598378 -0.630281439 6.530884 18.505739 -7.714585699
## 176 0.2690569698 -1.339093527 2.880117 11.681956 2.489352926
## 177 -0.4787161610 0.751819060 4.163949 19.009948 -3.472063267
## 178 -0.2994483678 0.706118877 4.988627 29.241034 -1.751159015
## 179 1.0381485076 -0.446100820 5.993871 13.326058 8.993083714
## 180 1.0289251156 -1.775717369 3.325426 18.469613 7.571028382
## 181 -1.9716751966 1.324308221 6.300248 17.599154 -14.862418195
## 182 -1.2833299018 0.283831857 7.286659 27.222107 -7.778170295
## 183 0.0485812523 0.562033956 8.384215 24.284943 0.311745479
## 184 1.2106310893 -0.585654217 7.966091 10.231144 11.968775290
## 185 -0.4846706345 -0.570836318 7.134295 21.773040 -3.284635390
## 186 -0.7933096125 0.752683210 4.651600 12.090372 -7.214776629
## 187 0.1724143571 -0.870069585 3.425130 30.635052 0.985063245
## 188 1.1052131043 0.262668329 9.743337 23.139006 7.265636618
## 189 0.7408755292 0.994363899 9.613423 27.503197 4.467387898
## 190 -0.2414466493 -0.083690207 5.954990 14.486627 -2.006030582
## 191 0.6149574423 -0.933581102 9.667776 11.335074 5.776075839
## 192 1.3825464692 2.405961753 7.492549 15.173404 11.223756283
## 193 -0.5832025603 -1.431015773 9.645180 20.283050 -4.094989491
## 194 -0.1979300758 -0.091988773 8.113123 19.349971 -1.422890980
## 195 -0.6032294786 -2.850028060 7.729528 17.298142 -4.586515108
## 196 -1.0886484009 -0.028185999 2.037010 17.096488 -8.325957488
## 197 0.1839152739 0.190964103 3.574594 17.167095 1.403684156
## 198 1.3071362948 1.254287933 8.793871 17.245042 9.953796122
## 199 -0.1682832906 1.614886235 5.307945 16.983828 -1.291288248
## 200 0.3438407478 1.333729287 6.351046 32.820230 1.897957707
## 201 0.3764745618 0.605568322 8.744984 21.714916 2.554797961
## 202 -0.1945396090 -4.825729054 7.259296 16.970614 -1.493341924
## 203 -2.1153360235 0.172606658 7.905605 12.411166 -18.987731163
## 204 -0.9130674019 0.645671320 7.410958 15.933015 -7.233589448
## 205 0.3497092522 0.271817175 7.753058 25.906153 2.172729483
## 206 0.4055771081 0.747440825 5.512403 20.826273 2.810396876
## 207 0.5053261235 -1.142928475 6.175560 33.739153 2.751089119
## 208 -1.7918671064 -0.332447210 4.209119 21.729122 -12.155832409
## 209 -0.6614889354 -0.158031400 3.338055 20.501105 -4.619914623
## 210 -0.3722728455 0.550204017 4.822700 18.703949 -2.722041231
## 211 0.1586610085 0.670236542 5.097349 28.955218 0.932409718
## 212 -0.6784124158 -0.601864768 8.185161 26.075960 -4.201202710
## 213 0.0824890278 -0.235229090 8.732401 19.497423 0.590755234
## 214 1.2437401093 0.504151541 8.358868 14.365654 10.376883363
## 215 0.8804955482 -0.625004766 3.036421 26.952447 5.363250250
## 216 0.5439587275 -1.054353515 6.280463 19.223964 3.923236345
## 217 -0.7909051267 0.067787193 2.338414 13.167320 -6.892482854
## 218 0.4271446966 0.168244580 2.971580 24.192437 2.746219280
## 219 0.9511143170 -0.501337032 5.073632 32.500063 5.275827841
## 220 0.8201170905 -1.605075466 8.498760 23.559290 5.343117947
## 221 -1.8109459705 0.740116742 6.848604 26.296549 -11.167503946
## 222 -0.2799136368 -1.674085325 5.213916 20.199957 -1.969467550
## 223 0.6710682561 -0.432262875 2.169602 34.728466 3.601006405
## 224 1.5969725309 -1.399654199 9.342400 11.050908 15.191423353
## 225 -0.7257318287 3.250552290 5.641954 16.407513 -5.665715805
## 226 0.9605751658 0.537126550 4.872730 13.178648 8.367504003
## 227 0.9564395850 -2.585036416 7.551914 24.092220 6.161963683
## 228 1.2658476867 0.207095538 2.084782 13.005028 11.100072077
## 229 -0.2369561733 1.189905242 3.170334 20.373410 -1.660107312
## 230 -1.5201140764 -0.926252117 9.935756 19.533374 -10.876459408
## 231 0.3395534253 -0.153507381 4.453722 15.438224 2.732810032
## 232 1.3959739111 -0.500558202 6.499728 21.851424 9.443596716
## 233 -1.1860622234 -1.552747941 3.222378 23.565579 -7.726244004
## 234 -0.4044715495 -1.572838729 7.222876 23.236246 -2.653413898
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## 723 1.4685709763 -1.665402220 5.220512 32.931422 8.092630233
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## 729 0.4075056487 -0.969832440 7.332137 15.635309 3.258970247
## 730 0.8057419509 1.836303578 3.162196 26.665218 4.934275615
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## 733 1.4983018816 0.652537672 4.392873 15.536360 12.020559785
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## 738 0.6704558448 -1.114614991 5.409810 22.355327 4.484145258
## 739 1.3144104154 0.353742772 3.411353 36.239986 6.904575461
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## 741 -1.4125684359 -1.546146954 2.784557 18.861194 -10.285488130
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## 756 2.7371690757 -0.468397885 8.920872 13.638703 23.437705356
## 757 0.5808869963 1.311256855 5.710626 10.506137 5.667220810
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## 759 1.9257053911 1.708729854 2.232147 23.932456 12.447903406
## 760 0.8698022539 1.686150368 7.636790 23.347177 5.692503957
## 761 0.6367353486 1.290067860 2.347072 19.890749 4.514746731
## 762 1.0696356254 0.045136797 2.672792 15.889593 8.485539877
## 763 0.3786587372 -0.337874412 8.626450 19.331338 2.723435065
## 764 0.0910634413 -0.360347021 9.039867 32.534740 0.504859333
## 765 0.9654122824 -0.312395660 6.683574 20.962101 6.667997304
## 766 1.5930782756 1.885713998 2.018501 29.996737 9.198142009
## 767 1.0458287579 0.617099302 8.601223 18.005173 7.794027513
## 768 1.1071919951 0.443061136 8.033763 17.294736 8.419105879
## 769 1.2447301781 -0.583825785 9.286158 22.104787 8.372054633
## 770 0.2976674283 0.354699640 8.500853 26.370611 1.833036941
## 771 0.4843644351 0.769717984 8.205786 19.205068 3.495137918
## 772 1.4285292821 0.161993662 5.738693 19.487320 10.233238449
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## 775 0.8464535024 -0.251015894 9.203815 21.292285 5.800854498
## 776 1.3940218401 -0.327327372 5.173154 26.423854 8.575737842
## 777 0.2795068778 0.670961532 9.761801 21.872277 1.889929054
## 778 1.0164319058 0.211765909 5.584025 15.832267 8.078053614
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## 781 -0.0703092386 0.008046305 7.774381 27.027663 -0.427669367
## 782 0.7736963017 0.069293602 7.193588 18.760899 5.648637385
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## 784 -0.9991581785 0.194366054 7.743707 18.419142 -7.362063265
## 785 0.5430494094 0.359591111 4.027590 16.291960 4.254540702
## 786 0.7885434258 0.420114729 5.194883 22.577987 5.247869197
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## 789 0.0054750719 -0.745206308 6.591408 25.721342 0.034138389
## 790 0.9340374878 0.663754347 9.049743 22.971556 6.162672637
## 791 1.3550164768 -0.640217011 5.408097 19.127761 9.797437661
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## 793 -0.3381149698 1.381021129 6.205833 18.399172 -2.492672681
## 794 1.0293807566 0.224051711 8.475116 19.489702 7.373495861
## 795 -0.6760305618 0.205462945 8.818535 11.310032 -6.356739618
## 796 1.0771102994 1.330659002 6.490096 32.606345 5.964981716
## 797 -0.2306398306 -1.624050972 2.794426 24.308788 -1.479287731
## 798 0.3459931813 2.875669615 5.298103 15.318838 2.795468694
## 799 -0.3242252295 -1.247337442 7.843816 19.591886 -2.316374018
## 800 0.4083761935 -2.318120978 5.942292 12.390550 3.668724681
## 801 0.1783245447 0.228595852 3.398385 16.480137 1.389091039
## 802 -0.8211234014 -1.648151489 3.360779 32.210091 -4.575224935
## 803 -1.1862020869 -0.544911188 7.873176 13.058058 -10.380526505
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## 805 0.0474477861 -0.968342950 6.485358 26.395501 0.292045824
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## 807 -0.4059242337 0.012442765 8.307882 10.415742 -3.977405608
## 808 -1.8666581105 1.018265859 6.785141 25.997511 -11.577076276
## 809 0.1694326586 -0.461524692 9.456992 20.946996 1.170674760
## 810 1.0336782972 -1.335986726 5.937428 31.419081 5.831612469
## 811 0.1083544806 0.817201966 4.923017 16.144070 0.852786586
## 812 0.8942006243 0.446276146 5.894063 33.536115 4.882908605
## 813 -1.3021841186 -1.357447469 8.323468 10.918357 -12.462172238
## 814 0.0749607018 -0.448736149 2.694272 23.460229 0.489404003
## 815 1.4979931402 0.581003212 5.426457 24.449800 9.580146839
## 816 1.3370285615 -0.022632122 7.393672 23.945563 8.640286848
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## 819 -1.2905157718 0.838229863 8.423202 26.484852 -7.929842171
## 820 -0.1719830189 0.154353708 3.396010 29.304356 -1.004660839
## 821 -0.6748872425 -0.188063790 2.140639 16.072408 -5.323420194
## 822 0.8356281003 1.002710120 6.049407 12.084382 7.601526374
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## 825 -0.4357080826 0.567875083 2.142174 14.920891 -3.566959953
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## 831 -0.6479180403 0.790860215 8.858413 28.350266 -3.848057039
## 832 1.9183925893 -0.719711441 4.801608 15.503354 15.407233298
## 833 -0.6965923595 -0.046839926 4.766184 30.516844 -3.987575303
## 834 0.6528909618 0.346508568 9.772202 16.877696 5.025555472
## 835 0.4196080061 -0.683970485 2.503328 20.112665 2.958754674
## 836 -0.2399571222 1.323065571 6.669744 18.395968 -1.769181224
## 837 1.7425018535 -0.123010037 3.103068 8.254397 19.179203716
## 838 1.3471222145 -0.498822386 6.359345 21.452788 9.197401130
## 839 -0.3613596121 -0.222783200 5.385699 16.641471 -2.801197694
## 840 0.1926677079 -1.296177342 4.844966 17.309320 1.464431039
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## 850 1.4802746701 0.508823070 8.124095 20.345827 10.377784222
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## 855 -0.3567123519 -0.773634501 6.042732 25.658681 -2.226901388
## 856 2.1746056678 0.331110861 6.933144 28.219387 12.945139208
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## 860 1.6162967298 -2.078748779 5.775292 18.838630 11.775963041
## 861 0.0372216849 -0.464923328 3.034145 18.192568 0.275961838
## 862 0.1357801454 1.009077437 8.169257 17.872483 1.015649424
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## 870 1.4055831762 0.061951470 7.928975 23.099537 9.248151026
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## 889 1.1152494796 -0.003155275 6.325234 14.541816 9.248316860
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## 891 -0.1659455772 -0.623875266 2.170556 26.254277 -1.024154916
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## 893 -1.2925164541 2.902817897 6.784502 11.716571 -11.940865728
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## 899 -0.1861637737 1.494482040 3.750380 14.715140 -1.534662823
## 900 0.7597281169 -0.825792581 4.184668 13.097321 6.638454248
## 901 2.1004608675 -0.076850014 6.494189 33.881838 11.411194620
## 902 -1.3667330843 0.165171334 9.603923 20.715274 -9.495948754
## 903 -0.1745115977 -0.702028404 8.137190 21.580943 -1.187925184
## 904 1.4279068341 0.420415201 5.722238 19.354204 10.263895342
## 905 0.8598674547 -0.760996536 9.355969 9.979753 8.607392760
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## 909 -2.3704150293 -0.186018492 8.456871 13.366460 -20.502942283
## 910 0.5308808542 -0.686323699 6.179511 11.564384 4.936689439
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## 912 -0.3076656500 -1.163046710 6.900894 10.702378 -2.973985622
## 913 0.8078223721 -0.848329688 7.818840 12.927743 7.104843681
## 914 -0.1674302305 -0.267647581 5.417923 17.585468 -1.262574183
## 915 -0.2576159035 -1.370860545 9.782719 18.330831 -1.902749403
## 916 0.1492055334 0.999079924 5.431729 18.913328 1.084928091
## 917 2.1763988564 -0.562712142 2.440890 24.222827 13.983828180
## 918 -1.9759163966 -1.903002136 7.599230 8.554743 -21.363139138
## 919 2.1608560415 0.699896759 6.831374 27.086394 13.129562042
## 920 -1.3142265289 -1.770764754 4.767255 28.500376 -7.784754696
## 921 1.6521270145 -1.127729460 5.022023 24.190087 10.622450638
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## 925 0.8209205685 -1.231369103 6.884816 16.351397 6.419832678
## 926 2.7671102671 -0.071796712 3.233897 20.181369 19.478304507
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## 930 0.5939013022 1.102917656 3.988215 19.297095 4.275316841
## 931 -0.6741250489 2.057839713 8.989741 24.169576 -4.336166466
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## 938 1.1619488616 0.338561105 2.357252 17.951255 8.672406135
## 939 2.9156633803 -0.431162833 7.827645 20.861233 20.186795963
## 940 1.2258585321 0.694551936 2.081539 28.016972 7.323686682
## 941 1.8738408283 0.495660709 6.449834 21.907346 12.660119667
## 942 0.2725488028 0.559795791 3.153895 16.503886 2.121539764
## 943 0.2260889361 0.232329599 4.609543 20.639165 1.573740963
## 944 0.9897363905 0.236082574 3.104734 23.019166 6.523411044
## 945 -1.4840541503 0.481914295 9.896343 25.137061 -9.360358838
## 946 1.2341188669 -0.745863188 9.120842 10.383184 12.111326531
## 947 0.1833352356 0.162430688 4.514045 33.920889 0.995433669
## 948 1.1122120349 -0.380029310 6.829050 22.341565 7.440991268
## 949 -0.3243960673 0.962224369 3.150932 16.235152 -2.545935534
## 950 0.0699054071 0.653328264 7.451420 26.164476 0.432170134
## 951 0.0982965478 -1.890869359 6.899766 14.660849 0.811818047
## 952 1.6362076099 0.016805992 9.518905 16.178947 12.863622422
## 953 1.0531549654 0.261656428 9.570819 21.039608 7.260615888
## 954 -1.4074388246 0.149004860 9.442898 23.282401 -9.223922529
## 955 0.5642808076 -0.832067364 8.974848 31.497919 3.179467204
## 956 -0.5727701996 0.148716595 5.472361 11.419655 -5.359865778
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## 958 0.7825944502 -1.764334114 4.200875 15.164136 6.355180971
## 959 0.8463411802 0.535924574 2.003044 20.591516 5.897953100
## 960 1.5688626703 1.532548625 9.608779 33.316529 8.595181532
## 961 0.8702937178 -1.350764673 3.955468 30.370090 4.993934118
## 962 -1.5369553653 -1.175492172 4.072060 15.392860 -12.388011190
## 963 1.2702687066 -0.258046717 2.447082 21.361752 8.691148350
## 964 0.8542532049 1.026917475 5.392717 17.676776 6.425176905
## 965 1.2205445314 0.188843365 3.816681 20.129345 8.602779847
## 966 -1.1839219015 0.004710585 2.163364 12.800840 -10.464146638
## 967 -1.5576071967 1.619796303 2.732036 36.295763 -8.175794763
## 968 -0.0760153101 1.421717607 3.938366 18.494111 -0.558964648
## 969 1.1536532867 0.136275572 8.921451 23.128564 7.585792700
## 970 1.1533658545 -0.494064922 9.577939 24.090841 7.430894782
## 971 -0.9868926430 -0.083436927 5.450899 19.352256 -7.094211107
## 972 -0.1479096280 -0.237819647 7.130627 16.158896 -1.163564867
## 973 0.5549531364 -0.429502835 5.413018 37.461288 2.867246006
## 974 -0.6256364279 -0.043184423 8.717418 22.785976 -4.144653297
## 975 0.0974565975 -0.822568256 6.428983 27.625222 0.586351927
## 976 -0.0749355403 1.556187338 3.090249 15.294840 -0.605920113
## 977 1.0899069981 0.169068514 4.811947 13.752726 9.293836813
## 978 -2.2499668396 0.917653775 7.115282 13.470376 -19.385912677
## 979 -0.4083441173 0.806592111 5.891696 16.257333 -3.202592277
## 980 0.8256037394 2.213742987 5.194849 26.347190 5.086329567
## 981 -0.1650570751 -3.612255529 6.079118 13.535992 -1.418695213
## 982 1.6343796773 0.789941738 9.725338 16.657421 12.663363431
## 983 0.7991749291 -0.990684573 3.839244 20.360644 5.600748864
## 984 0.4385606813 -1.079087612 6.182124 10.924760 4.195886553
## 985 1.2506726625 -0.419122340 4.378759 17.418422 9.476309848
## 986 0.1563120299 -1.116921525 3.842824 14.622838 1.292636975
## 987 1.3546633311 0.865890440 2.729596 10.966865 12.935705920
## 988 0.3359120069 -0.258164663 2.637029 16.429172 2.620702271
## 989 -1.1469610712 0.564517140 3.898749 21.301953 -7.858487544
## 990 -1.4327539801 -0.829824632 3.090331 19.208283 -10.337781473
## 991 1.2917353650 -0.760524855 8.700061 14.319810 10.794559367
## 992 -0.1498506692 0.346577189 4.179689 20.230468 -1.053551394
## 993 1.7415071033 -0.784990410 2.486685 22.115966 11.710415089
## 994 1.3964339833 -0.379953191 9.791859 16.267816 10.948529381
## 995 0.8019373111 -0.197034105 4.341919 14.298925 6.706388741
## 996 -1.3066331563 -0.532768841 2.902137 24.893158 -8.281588976
## 997 -1.5225208571 0.460207938 8.875249 21.633141 -10.351504222
## 998 0.4298120459 -0.879741083 4.388428 16.954608 3.300917795
## 999 0.1939701471 1.197929409 2.235062 15.522954 1.556853367
## 1000 0.9182833211 -0.777120964 2.611232 17.715229 6.899272757
...