Lab03

R Markdown

讀取資料

library(haven)
pisa.dat <- read_spss("PISA_tawian2022_trimmed_lab.sav")
View(pisa.dat)

Descriptive stat

列出ESCS此變項的最大值、最小值、中位數、平均值、第一四分位數、第三四分位數

summary(pisa.dat$ESCS)

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## -3.8421 -0.9395 -0.2368 -0.2701  0.4393  4.2070

列出ESCS此變項的描述性統計數值

library(psych)
describe(pisa.dat$ESCS)

##    vars    n  mean   sd median trimmed  mad   min  max range  skew kurtosis
## X1    1 5599 -0.27 0.91  -0.24   -0.27 1.02 -3.84 4.21  8.05 -0.18    -0.31
##      se
## X1 0.01

z score

計算ESCS此變項的Z分數，以公式計算

(pisa.dat$ESCS-mean(pisa.dat$ESCS))/sd(pisa.dat$ESCS)

##    [1] -0.0573935606  0.4709722531 -0.3352658450 -0.6047478658  0.8624442914
##    [6]  0.6151523101 -2.1639017286  0.6954118058  1.0383086335  0.1472847132
##   [11]  0.8127650988 -0.1348931012 -1.7352254948  0.9550683862  1.0226320883
##   [16] -0.7140420897 -0.4548271021  0.9465677244  1.2829510579 -1.0228258717
##   [21] -0.1688957486 -0.2646109932 -0.0664462135  0.0471535404 -1.1206386822
##   [26] -1.7595131001  0.6875735332 -0.3024775779  0.4083764703  0.7656250648
##   [31] -0.3574558844 -0.7472719497 -0.3785419418  1.6934115877 -0.8146148553
##   [36]  1.6475963322 -1.4248961379 -0.8970823152  0.5351136108  0.7570140047
##   [41]  0.8759128726  0.1381216621  0.6119507621  0.6596427871  1.6007874929
##   [46] -0.9213699205 -1.1790393332  0.9663290033  0.1710203275  1.2770999530
##   [51] -0.3709244655  0.1879112530  0.8637690699  0.1521422343  0.7852759455
##   [56] -1.2753065688 -0.8796393986  1.0729736702 -1.0266898090  1.8016018295
##   [61]  1.3545994936 -0.7903272500 -0.1676813684  1.0486860649  1.1399853812
##   [66] -0.9465407114  1.2130689936  1.4811158376 -0.4912585100  0.4785897293
##   [71]  1.2228944339 -0.5208452292 -0.4972200132 -0.7596365487  1.3932388657
##   [76]  0.0687915888  1.0736360594  1.5929492203 -0.7622861057  0.0250738992
##   [81] -1.3528061094 -2.0623353791  0.5247361794 -1.7934053493 -0.8741194883
##   [86]  0.0969431313 -0.2902233770 -1.7008916528 -0.7532334528 -0.4856282015
##   [91] -0.1696685361  0.9948117404  0.2675083595 -0.3891401695 -1.3563388520
##   [96] -1.4097715836 -0.1897610096 -1.0222738807  0.1529150217  0.6928726471
##  [101] -1.5971173392  0.9801287790  0.3314289208  0.1156004281  0.6599739817
##  [106]  0.3628924095 -0.3147317787 -1.1972550372 -0.0494448898  1.2466300482
##  [111]  1.4712903973 -0.0440353777  0.3981094372  0.8526188511 -0.2068727315
##  [116] -1.3112963839 -0.9711595114 -1.3778665021  1.6728775214 -0.3194789016
##  [121]  1.3721528084  0.7765544872 -0.9827513230 -0.4068038825 -0.5110197889
##  [126] -1.1697658839 -1.0383920188 -0.0141174639 -0.6540958638  0.8639898663
##  [131] -1.2594092271 -0.1385362420 -1.7785015915  0.6657146884  0.5261713561
##  [136]  0.8148626647  0.4874215858  1.5948259898  0.7275376838  0.6860279583
##  [141] -0.1936249468 -0.1469265057 -0.6105989707 -0.6135797223 -0.2658253735
##  [146]  1.4472235884  0.4176499196  0.8935765855 -1.8207841044  0.3472158642
##  [151]  1.3874981590 -1.0726154626 -1.7465965100 -0.5187476633 -1.0426975488
##  [156]  0.0410816391 -0.3204724854 -0.5513151341  1.4241503634 -1.2408623285
##  [161]  0.0320289862 -0.0253780809 -0.4982135970  1.4417036781  1.1511356000
##  [166] -1.1965926479 -0.2079767136  0.5440558655  1.2237776195 -0.6291458693
##  [171]  0.0449455763  0.9732840902  0.0281650490 -0.5577182300  0.6908854794
##  [176]  1.4939220295  1.2359214222 -1.0758170106  0.8772376510  2.2327068238
##  [181]  0.1886840405  1.0216385044 -1.4484109557  0.1322705572 -1.1304641226
##  [186] -0.7734363245  0.3838680686 -1.7119314734  1.1738776305  1.1054307428
##  [191] -0.5811226497 -1.1401791647  1.1214384826  1.1026707876 -1.0839864778
##  [196] -0.0326643625 -0.6971511642 -1.4866087350  1.2711384499  1.0417309779
##  [201] -0.6269379052 -0.8186995889  0.4632443787 -0.1607262814 -2.4338253421
##  [206]  0.1313873716  1.2357006258  0.2096596996 -0.6399648935  0.2889256115
##  [211]  1.7513706458 -2.0468796302  1.2844966328  1.1584218816  1.6630520811
##  [216]  1.2001524035 -0.1155734152 -2.2338941911  0.5088388377 -0.0682125848
##  [221]  0.1468431204  0.7108675547  1.4888437121  0.7976405445 -1.1663435395
##  [226]  1.5388540994 -1.5386062900  0.3507486068 -0.7699035819 -0.1199893434
##  [231]  0.9933765637  0.2505070358 -0.7363425273  1.2193616913 -0.0746156808
##  [236] -1.6540828134  1.2994003906  0.1997238611 -2.0915909036 -0.5198516454
##  [241] -0.9654188046  1.1052099463  0.5653627192 -0.6298082585  0.3207202948
##  [246] -1.3583260197 -0.5388401368  0.0854617179  0.9026292384  0.0983783080
##  [251] -0.8008150796 -0.5941496380 -0.6773898853 -1.0033957875 -0.1376530564
##  [256] -0.7717803514 -0.9696139365  0.1631820549 -0.9903687992  1.1090738836
##  [261]  0.7190370219  0.5672394887  0.7860487329  1.6084049691  0.6939766291
##  [266]  0.7174914470 -0.7650460608 -2.0962276283 -0.0835579354 -1.1821304829
##  [271] -0.5366321727 -0.2904441734  1.0524396039  0.5385359552 -0.7818265881
##  [276]  0.9382878589 -1.4944470076 -1.1826824740 -0.7251923085  0.5464846260
##  [281]  0.3507486068  1.1413101597  0.5720970098 -1.0362944529  1.2774311476
##  [286]  1.5067282214 -1.9778807515 -1.3534684986  1.0094947018 -0.4458848474
##  [291] -0.2681437358  1.3136417592  0.5205410476  0.1738906809  0.1971847023
##  [296] -0.8736778955 -0.2159253844  0.2785481801  0.1589869231 -1.6044036207
##  [301] -1.3082052342 -1.8216672901  0.8974405227  1.3016083548  0.0120469109
##  [306] -0.3424417284  1.4280143006 -1.0048309642  0.8095635508 -0.6606093580
##  [311]  0.9710761261 -0.9653084064 -1.2965030243  0.5943974474 -0.8518190507
##  [316] -1.2377711788 -0.9211491241 -0.3374738091 -0.1862282670 -0.6964887749
##  [321] -0.8882504587 -1.6166578216  1.0641418137  1.0852278711  0.5932934653
##  [326]  0.2554749551  0.8606779201 -0.1170085918  0.2617676528 -0.4383777694
##  [331]  0.5313600718  0.5730905936 -0.3872634000 -0.0382946710  1.0646938048
##  [336] -0.7214387695 -0.1204309362 -0.5837722066  1.9894995761  1.1476028574
##  [341]  0.2215827058 -1.7123730662  4.9426515855  1.0665705743 -0.1924105665
##  [346]  0.6341408015 -1.1407311557 -0.6827993974 -1.0729466573 -0.3269859796
##  [351]  0.9756024526  0.9314431702  0.7280896748 -0.1011112502  0.8710553515
##  [356] -0.1300355801  1.0786039787  0.4816808791  1.1172433508 -1.2724362154
##  [361] -0.5060518696  0.6091908070  0.0585245556  0.0637132713 -1.9626457991
##  [366] -1.5697385841  0.8713865461 -0.8564557754 -1.3614171694  0.7205825968
##  [371] -1.2485902029 -1.3444158457 -1.0306641444  0.9270272419 -0.5474511969
##  [376]  1.5517706895  0.1482782971 -2.0690696696  0.0314769952 -0.1017736394
##  [381] -0.2512528103  2.2044448831  0.7643002863  1.5688824114 -0.8915624049
##  [386]  0.5788313003 -0.0215141437  0.2146276189 -1.3902311012  1.4741607507
##  [391]  0.6445182329 -0.6990279337  0.1964119149 -0.3826266754  0.8251296978
##  [396]  1.6658120362  1.3240191906  0.8855175165 -0.4802186894 -0.7260754941
##  [401]  0.3313185226  1.3637625447 -0.0501072790 -0.7753130940 -0.4278899398
##  [406] -0.2419793610  0.8815431811  0.5790520967  1.2278623532 -0.7860217200
##  [411] -0.1666877845  0.2422271704  0.7493965285 -1.1120276222  1.0322367322
##  [416]  0.9643418355 -0.1032088161  1.3485275923  0.8557100009  0.7226801627
##  [421]  0.4200786802 -0.8766586471 -0.7588637613 -1.1466926588 -0.7257442995
##  [426]  0.1656108154  1.3263375529  0.8136482844 -0.9039270039 -0.2076455189
##  [431]  1.0754024307 -1.0224946771 -0.9533854002  0.7318432138  1.4175264710
##  [436]  1.1827094869 -1.5855255275  0.8406958449  0.1655004172 -0.8635212605
##  [441]  0.0089557612  0.3418063521 -0.1644798204 -1.4878231153 -1.7885478283
##  [446] -0.2295043637  0.6558892481 -0.6490175464  0.6950806112 -0.6578494028
##  [451] -0.5077078427 -2.7442650973 -1.3149395247 -1.0559453335 -1.5382750954
##  [456]  0.5680122761  0.6507005324 -0.0898506332  0.2816393299 -0.7352385452
##  [461]  0.6195682383  0.1536878092 -1.1758377852 -1.3327136359 -1.5345215564
##  [466]  1.1294975517  1.0839030926 -0.0928313847 -1.2339072415 -1.2259585707
##  [471]  1.0081699233  0.3462222804  0.6864695511  1.0513356218  0.1894568279
##  [476]  0.7866007239  0.3817705027  0.9889606355  1.4941428259  1.1362318422
##  [481] -1.1661227431  0.4645691572 -0.0742844861 -0.1904233988 -1.2918662997
##  [486]  0.0526734507  0.2434415506 -0.0495552880  0.6552268589  1.2204656734
##  [491]  0.4560684953  0.2928999469 -0.7136004969  0.6721177844 -0.6861113436
##  [496]  0.4910647266 -1.5609067276  0.0033254527 -1.0654395792  1.6648184524
##  [501]  0.2501758412  0.0190019979  0.3860760327 -0.9792185804  1.3288767116
##  [506] -0.5197412472 -0.3065623115  1.3749127635 -0.9390336334 -1.8395517994
##  [511] -0.8143940589  0.6871319404 -0.4493071918  0.0121573091 -0.9766794217
##  [516] -2.0979939996  1.6653704434  1.2938804803 -1.4700490041  1.2052307209
##  [521] -0.6114821563 -2.5512890333 -0.9202659384 -1.2178995017 -0.5230531934
##  [526]  0.8361695184 -0.3996279991  0.8591323453  0.4862072055 -0.3251092101
##  [531]  1.1022291948 -0.9808745535  0.5578556412  0.6235425737 -1.6785912152
##  [536] -0.7670332285  0.0500238938  1.0190993457 -0.4809914769 -0.5517567269
##  [541] -0.8541374130 -0.8174852087 -0.6635901096  0.3691851072 -1.3009189526
##  [546] -0.5199620436 -1.6354255166  1.3903685123  0.6631755297  0.3666459485
##  [551] -0.0888570493 -1.5023956784 -0.4699516563  1.4886229156  0.0269506687
##  [556] -0.2285107799 -1.1644667700  0.2888152133  1.7921075838 -0.7432976143
##  [561] -0.4470992277 -0.9755754396 -0.0526464378  0.9805703718 -0.2480512623
##  [566]  0.1563373661 -0.6986967390  1.0868838442  0.6476093826  0.8167394342
##  [571] -0.8789770094  0.9281312240 -0.7984967172  0.7464157770  1.4970131793
##  [576]  0.8261232817  0.5581868358  0.0201059800  1.7122896809 -0.7703451747
##  [581] -0.4634381621  1.3102194148 -1.5749272998  1.4187408513  0.9741672759
##  [586]  0.3749258139  0.0846889304  1.3288767116 -0.3556895131 -0.5016359414
##  [591] -1.2127107860  1.1280623750  0.6832680032  1.0937285329 -1.3135043480
##  [596]  0.8843031362  1.0892022065 -1.1824616776 -0.1586287155 -0.7559934079
##  [601]  0.4780377383 -2.1455756264  0.1524734289 -1.2686826764  0.7394606900
##  [606]  0.3349616634  0.3744842211 -0.2048855638 -0.2437457323  0.2474158860
##  [611] -0.2534607744  1.3476444066 -0.1683437576 -0.7048790386  1.3094466274
##  [616] -0.4031607417 -0.0240533024  0.1818393517 -0.1725388894  1.0602778765
##  [621]  0.0649276516 -1.3719049990  0.9911685996 -0.4027191489  0.1014694578
##  [626]  0.5389775480 -0.8219011369  0.1857032889 -0.4601262160 -0.1474784967
##  [631]  0.0821497717 -1.0940327146 -1.5453405806  0.5462638296 -1.1119172240
##  [636]  0.6495965503 -0.2091910938  1.0009940399 -0.1145798313  0.3551645351
##  [641]  0.0039878419  0.6075348339 -1.3394479264 -1.5930326055 -1.2976070064
##  [646]  0.6472781880  1.3226944121  0.9038436187  0.7014837072  0.3123300311
##  [651]  0.4705306603 -0.8147252535 -0.0071623769  0.8369423059  1.1436285220
##  [656]  0.1991718700  1.3831926290 -0.9063557645 -1.1455886768 -0.4703932491
##  [661]  0.6405438975  0.8410270395 -0.4246883919 -0.1669085809  0.4483406209
##  [666]  1.3203760498  0.1118468891  0.1613052854 -0.1745260571 -0.8195827746
##  [671] -0.0173190119  1.6813781833 -0.8392336552  0.5447182547  0.3189539235
##  [676]  1.6186720023 -0.8995110757  0.7365903366 -1.2426286998  0.6434142508
##  [681]  0.6097427980  0.5736425846 -0.0395090513  1.2196928859  0.7613195348
##  [686] -1.0493214412 -1.0577117048  0.1307249823  0.4917271158 -0.6128069348
##  [691]  0.2596700869  0.0159108481 -1.3234401866  1.0293663789  0.1090869340
##  [696]  1.0060723574  0.0532254418 -0.3598846450  1.1011252127 -1.4742441359
##  [701]  0.0365553127 -0.2117302526  0.8616715040  0.9333199397 -1.8656057760
##  [706] -0.5905064972 -1.2185618909 -0.0041816253  1.2847174292 -0.2320435225
##  [711] -1.9220192593 -0.4312018860 -0.2842618739 -1.3551244717 -0.4505215720
##  [716] -0.3764443758 -0.7439600035  0.0449455763 -0.9608924782 -0.2134966238
##  [721]  0.7088803870  0.5385359552  1.9698486954 -1.4688346238  0.3036085729
##  [726]  1.6821509707 -1.8191281313  0.9844343090 -1.0884024061  0.6855863655
##  [731]  1.3697240478  0.7698201966  0.5132547660 -0.3472992495 -0.0748364772
##  [736] -0.4426832994 -0.1717661020 -0.2959640837  0.1719035132  0.1265298505
##  [741] -1.2878919643 -0.4165189246  0.1023526434 -0.6965991731  0.3652107718
##  [746]  1.0956053024  0.2900295935  0.5733113900 -0.8602093144 -1.1285873531
##  [751] -1.2427390980  1.1439597166 -0.1453809308  1.7915555928  0.9056099900
##  [756] -0.6340033904  0.9871942642 -0.4826474500  0.6144899209 -0.2158149862
##  [761] -0.9912519848 -0.3076662935 -1.8795159500 -0.5312226606  0.6951910094
##  [766] -0.8922247941  0.4432623034  1.3886021410 -0.3298563329 -0.7982759208
##  [771] -1.3643979210  2.0350940352 -1.1927287107 -0.7227635479 -0.5630173439
##  [776]  0.2170563794 -1.4639771028  0.7478509537  0.7223489681  0.1132820658
##  [781] -0.6331202047  1.9211630866  0.2020422234  0.7989653230  0.1146068443
##  [786] -0.7899960554  0.3914855448 -0.0401714405  0.4450286747 -0.9079013393
##  [791] -0.3191477070 -1.3003669615  1.2468508446  0.1569997554 -0.6256131267
##  [796]  0.2643068115 -1.5401518649  0.0250738992  0.5640379407  1.6121585081
##  [801]  0.2999654321 -2.3845877423  0.0850201251 -1.2968342189  1.5188720241
##  [806]  1.3633209519 -0.8114133073  1.2205760716 -0.7970615406 -0.7747611030
##  [811]  0.0407504445  1.1849174511  0.6191266455  0.0536670346 -1.1737402193
##  [816] -0.8938807672  0.6011317379 -2.9440858501  1.1049891499  0.3695163018
##  [821]  1.1763063910 -0.8384608678  0.0882216730 -1.0674267470  0.3316497172
##  [826] -0.6989175355  0.4078244793  0.9938181565 -0.8285250293 -2.7551945197
##  [831]  0.7675018343 -0.8371360893  0.7931142181 -0.2483824569 -1.2504669724
##  [836] -2.1175344820  0.3791209457  0.3993238174 -0.7876776930 -0.4085702538
##  [841] -1.2385439662  0.8975509209  0.1390048478  0.2324017300  0.2932311415
##  [846] -1.4903622740 -0.7346865542  0.7416686541  1.2020291730  0.2417855775
##  [851]  1.3041475135 -0.0917274027 -0.2943081106  0.6865799493 -1.3785288914
##  [856]  1.3788870989  0.3391567952  0.9017460528 -1.0843176725 -0.4953432437
##  [861]  1.3257855619 -0.9863944638  0.9313327720 -0.1613886706 -1.7879958373
##  [866] -1.1409519521  1.4566074359 -0.4809914769 -0.0533088270 -0.8629692695
##  [871] -0.4293251165 -1.7673513727  1.3176160946 -1.5521852693 -1.5904934468
##  [876] -0.9533854002  0.0308146059 -1.2351216218 -0.1741948625 -0.5419312866
##  [881]  0.7554684299  0.0237491208 -1.2789497096  0.5546540932  1.3651977214
##  [886]  0.6996069376  0.4633547769 -0.2904441734 -1.3584364179  0.9390606464
##  [891]  0.1148276407 -2.8166863204  0.8252400960 -0.5881881349 -0.9722634934
##  [896]  0.2717034913  0.2530461945 -1.1612652220  0.9257024635  0.3318705136
##  [901]  1.3852901949 -2.2188800351  0.8235841229  0.3702890893  0.3304353369
##  [906]  1.2825094651 -0.3987448135 -0.3131862038 -0.3126342128  1.3040371153
##  [911] -0.0934937740 -0.5008631540 -1.7914181816 -0.7435184107  0.3210514894
##  [916]  0.1581037374 -0.6701036037 -0.6351073724  0.4398399590 -0.4127653856
##  [921]  0.8990964958  0.9192993675 -1.0082533086  0.7085491923 -1.3521437201
##  [926]  1.0608298676  0.2321809336 -0.4985447916  1.0227424865  0.5018837508
##  [931]  0.4874215858 -0.5119029746 -0.5403857117 -0.8510462633 -0.0483409077
##  [936] -0.1652526078  0.0396464624 -1.1049621370  0.4788105257 -0.1102743013
##  [941]  0.3719450624 -0.8447535655 -0.0790316090  0.7413374595  0.8108883293
##  [946] -0.4178437031  1.4570490287  0.0862345053  0.9601467037 -0.0216245419
##  [951] -0.4080182628  0.9696409494 -0.6964887749 -1.2466030352  1.4123377553
##  [956]  0.8087907633 -1.1024229782 -0.1995864499 -1.3282977076  1.1411997615
##  [961] -1.2691242692 -2.1732855761 -1.5578155778  0.0055334168  0.2205891220
##  [966] -1.5636666827 -2.6637848051  0.5722074080 -0.9305329716  0.7061204318
##  [971] -1.1606028328 -0.8073285737 -1.0793497532 -1.5562700029 -1.3182514709
##  [976]  1.2262063801 -0.6200932164 -1.9524891641  0.1077621555 -1.2297121097
##  [981]  1.3772311258  0.2973158751  0.8544956206  0.2350512870  1.5704279863
##  [986] -0.1737532697  0.2506174340  1.1353486566  1.1987172268  0.7258817107
##  [991]  0.6413166849 -0.7350177488 -1.8377854281 -1.1630315933 -0.1314707568
##  [996]  0.0554334059  0.6692474310  1.7459611337  1.3883813446  0.3457806875
## [1001]  0.2149588135  0.5635963479  1.0825783141 -0.9587949123 -0.6054102550
## [1006]  0.4036293475  0.3144275971  1.5497835218  0.5873319622  0.1236594972
## [1011]  1.0055203664  1.0877670298  0.8316431920 -1.4316304284 -0.8714699314
## [1016]  0.6150419119 -1.2609548020  0.3490926337 -1.0663227649  0.4450286747
## [1021]  1.0044163843 -0.9033750129  0.0090661594 -0.5856489761 -0.1390882330
## [1026]  1.3027123368  1.0840134908  0.1329329465  0.3209410912  1.7004770729
## [1031]  1.7299533939  0.1804041750  1.7978482905  1.3256751637 -0.4844138213
## [1036] -0.3442080997  0.5297040987  1.4199552315 -0.9445535437 -0.9776730055
## [1041]  0.1935415615  0.4116884165 -1.4110963621 -0.3317331024  0.6286208912
## [1046]  0.4496653994 -1.5938053930 -0.3019255868 -0.1462641164  0.8367215095
## [1051]  0.4355344290  0.7058996354  0.9701929405  0.0815977807 -1.3440846511
## [1056]  0.0345681449  1.3934596621  1.0358798730 -0.9706075203  0.4021941708
## [1061] -1.5029476695  0.6897814973  0.7869319186  0.4685434926 -0.9554829661
## [1066]  0.2203683256 -2.6143264089 -0.5164293010  1.3037059207 -0.1687853504
## [1071] -0.8168228194  0.5034293257  1.2088738617 -1.1771625637 -0.5232739898
## [1076]  1.0591738945  1.2803015010 -1.4596715727  0.2342784995  0.1903400136
## [1081] -0.3769963669  0.2253362448  0.4313392972  1.4334238127 -0.1681229612
## [1086] -1.0937015200 -0.0632446655 -1.6536412206  0.3528461727  1.6545514192
## [1091]  0.9334303379 -0.5366321727  1.2582218598  1.2973028247  0.9399438320
## [1096] -0.0015320684  1.1218800754  0.8245777068 -0.5889609223  1.3708280299
## [1101]  1.1049891499 -1.2096196362  1.4127793482 -0.0757196628  0.4371904021
## [1106] -0.4877257675 -0.4421313084  0.4120196111  0.6097427980 -0.5836618084
## [1111]  1.1680265255  0.3096804742  0.8108883293  0.0817081789 -2.3030034681
## [1116]  1.7235502979  0.8392606682 -0.7246403174  0.2180499633  1.0985860540
## [1121]  0.8360591202 -1.4943366094 -0.5146629297  1.2211280626 -0.8207971548
## [1126]  0.1716827167  0.5694474528 -0.2363490525 -0.0498864826 -0.6524398907
## [1131]  0.2560269461 -0.8057829988 -0.0006488828 -0.0980201004 -2.0880581611
## [1136]  1.4934804367  1.4443532351 -0.8871464766 -0.3336098719 -0.3266547850
## [1141] -0.2385570166 -0.7542270366 -0.7191204071  1.4081426235  1.2160497451
## [1146] -2.6776949791 -0.4054791040  0.8974405227  0.1565581625  0.8512940726
## [1151]  1.5627001118  1.3356110022  0.1365760873 -0.5909480900 -0.6069558299
## [1156]  0.4751673849 -1.1408415539 -0.0708621417  0.4004277995  0.3394879898
## [1161]  0.0010070903  0.6778584911  0.9517564401 -1.2989317849 -0.1366594725
## [1166] -0.1959433091  1.0525500021  0.5403023264 -1.5695177877 -0.4118822000
## [1171] -0.0865386870 -0.7180164251  1.5434908240  0.6227697863  1.1759751964
## [1176] -0.2415377682 -0.3830682682 -0.9134212496  0.9666601979 -0.4726012132
## [1181]  1.4470027920 -0.2785211672 -1.0050517606  0.3066997226  0.4847720289
## [1186] -0.9651980082  1.7162640163 -1.1444846947 -0.0979097022 -0.8952055457
## [1191]  0.2920167612  0.7638586935 -0.6740779391  0.3050437495  0.5375423713
## [1196] -1.8663785635 -0.5058310732  0.6258609361 -0.0354243176 -0.9712699096
## [1201] -1.3038997041 -1.5308784156  0.0498030974 -1.6240545014  0.3324225046
## [1206] -1.3252065579  1.1548891390  0.8442285875  0.1303937877 -0.1884362311
## [1211]  1.4348589893 -2.1011955476  0.0766298614  0.5096116252  1.6480379251
## [1216]  1.5151184851 -0.4954536419 -0.0481201113 -0.4076870681  1.0256128399
## [1221] -0.8752234704  1.7437531696 -0.5789146856  0.4709722531  0.3777961673
## [1226] -1.0581532977  0.2293105803 -0.9745818557 -0.8850489107  2.5040656141
## [1231]  0.1529150217  0.3532877656 -0.8055622024  0.6946390184  0.3002966267
## [1236]  0.3798937332 -0.1834683118 -1.5067012085 -2.3148160761 -1.4609963512
## [1241] -2.3696839845  0.3649899754 -1.5667578325 -0.3294147401  0.3486510409
## [1246]  0.3630028077  0.6898918955 -1.1556349135  0.7835095742  0.3772441762
## [1251] -1.1432703144  1.6739815035 -1.4767832947 -1.9884789793  0.8603467255
## [1256] -1.2033269385 -1.1246130176  0.3483198463 -0.4277795416 -2.3194528008
## [1261] -0.7707867675 -1.6736232959  0.2417855775  0.7361487438  1.0748504397
## [1266] -0.7545582313  1.2021395712 -0.0452497580 -1.7725400884 -0.2053271566
## [1271]  0.4879735768 -2.3165824474  0.9972405009  0.4378527913  0.4709722531
## [1276]  0.0005654975  0.7598843581 -0.4856282015 -0.1303667748 -2.6457898976
## [1281]  0.0309250041 -0.6444912199  0.1518110397  0.9360798948 -0.2307187440
## [1286]  1.5837861692 -0.6962679785  0.5694474528  0.2994134410  1.1813847085
## [1291] -2.0838630292  0.5983717828  0.7783208585 -0.2236532588  0.7464157770
## [1296] -0.0769340431 -0.6832409902  0.3195059145  0.3903815628  0.1426479886
## [1301]  0.8608987166 -1.0362944529 -1.6901830268 -0.0700893543 -0.2911065626
## [1306]  1.6544410210 -1.2917559015  0.8327471740 -0.2790731582 -0.6746299301
## [1311]  3.2367785070  0.6992757430  1.2929972947  0.5872215640  0.9769272310
## [1316] -1.8173617600 -0.7037750565 -1.1186515145  1.6696759734 -2.7700982775
## [1321] -1.4973173610 -0.7773002617 -2.2550906467  0.8081283741 -0.6779418763
## [1326] -1.3534684986 -0.1575247334  0.8319743866  0.4814600827  0.3721658588
## [1331] -1.2399791429 -1.2478174155 -0.4179541013  0.4161043447  1.2190304967
## [1336] -0.5636797332 -1.1089364724  0.8826471631 -0.9064661627 -1.8699113061
## [1341] -0.0373010871 -1.0358528600  0.3745946193 -0.2352450704  1.0326783250
## [1346]  0.6645003082 -0.6495695374 -1.2440638765  0.7323952048  1.5920660346
## [1351]  0.9252608706  1.3733671886  0.2794313658  1.0054099682 -1.6284704296
## [1356]  0.8022772692 -0.8071077773  0.4943766728  1.0089427108 -2.5017202388
## [1361] -1.4863879386 -0.8308433916  0.6203410258  0.2403504009  0.9614714822
## [1366]  0.9781416113  0.3060373334 -0.3953224691 -1.0131108296  1.7944259462
## [1371]  0.3762505924  0.4122404075  1.2412205361  0.1036774219  0.8920310106
## [1376]  0.5391983444  0.9189681729  0.7286416658  0.7287520640  0.6057684626
## [1381]  0.1087557393  0.1864760763 -0.4825370518  0.5101636162 -0.8588845359
## [1386] -1.4076740177  1.5331133927 -0.7713387586  0.9770376292  1.6414140327
## [1391]  0.1544605966 -1.6822343559 -0.2700205053  1.2967508337  1.7345901185
## [1396]  1.0429453582 -0.9393648280 -0.0344307338  1.1436285220 -1.5638874792
## [1401] -0.5302290768  0.5542125004 -0.1888778239 -0.4631069675  1.8018226260
## [1406]  1.4061554558 -1.0734986483  0.1732282916  0.9125650769  0.1002550775
## [1411]  0.5664667013 -0.8447535655  1.0334511125 -0.0520944467 -1.5660954433
## [1416] -1.1047413406 -0.5514255323 -0.8934391744  1.9135456104  0.2136340350
## [1421]  0.7778792657 -0.3900233552 -3.9434104104  0.7500589178  1.3610025896
## [1426]  1.6524538533 -1.1056245262 -1.0835448850  1.5560762195  0.9104675110
## [1431]  1.3437804694 -1.7472588993 -0.6926248377  2.5227229109 -0.6550894477
## [1436]  0.1270818415 -0.4657565245 -0.7091845686 -0.2914377573 -0.0578351534
## [1441]  1.3184992803  0.0485887171  0.8215969552  0.3302145405 -1.8807303303
## [1446] -1.1246130176  1.6776246443  0.3425791396  0.5915270940 -0.0619198871
## [1451]  1.7266414477 -1.2133731752  0.5996965613  1.6754166801  0.1000342811
## [1456] -0.6751819212  0.3367280347 -0.3139589913 -0.1960537073  1.3999731563
## [1461] -0.0910650134 -0.9734778737  0.4778169419  0.7153938811 -0.3275379706
## [1466] -1.5057076246 -1.7681241602  1.8368188572  0.8406958449  0.1546813930
## [1471] -0.7419728358  0.1392256442 -0.4542751110  0.4449182765 -0.6088325994
## [1476]  1.2163809398 -2.3311550106  0.2321809336  0.4933830889 -0.6540958638
## [1481] -0.2271860014  1.2924453037 -0.6032022909 -0.9594573015 -2.6606936554
## [1486] -0.4750299738  1.9961234684  0.0939623798 -0.1556479639 -0.8741194883
## [1491]  1.0811431374 -0.0870906780  0.8518460637  0.6539020804  1.4277935042
## [1496]  0.6641691135 -1.9064531123 -1.2018917618  0.9400542302 -1.2484798047
## [1501]  0.4704202621 -0.1672397756  1.2518187639  0.5637067461  1.2742295997
## [1506]  0.0464911512  1.7174783966  0.7139587044 -0.2615198434  0.2776649945
## [1511]  0.6755401288  0.0790586219 -1.2154707411  0.2072309391  0.2130820440
## [1516] -0.2182437467 -0.0399506441  0.4134547878 -0.2245364444  0.8554892045
## [1521] -0.8843865215 -0.6961575803 -0.0885258547  0.4713034477 -0.6652460826
## [1526]  0.7741257267  0.3940247036 -0.4405857335 -0.2250884355  0.4369696057
## [1531] -0.0905130224 -0.2874634218 -1.0927079361 -0.1214245201  1.1083010961
## [1536]  0.3026149890  0.0883320712  1.4114545697  0.0289378364 -0.0676605938
## [1541]  0.6171394778 -2.1020787332  0.7389086990  1.2678265037  0.1963015167
## [1546]  0.4401711536 -0.8110821127  0.0132612912 -0.8210179512  0.3627820113
## [1551]  1.3858421859  1.7469547176 -0.3066727097 -0.2850346613  0.1324913536
## [1556]  1.1733256394  0.5733113900 -0.6885401041 -0.8221219333 -1.6316719776
## [1561] -2.0346254294  1.2536955334  0.7968677571  1.5504459110 -0.2990552335
## [1566] -0.8296290113  0.6100739926  1.9829860819 -0.6409584773  0.3407023701
## [1571]  1.3197136605 -0.3148421769 -0.3397921715  0.8072451885  0.9921621834
## [1576]  1.2751127853 -2.1932676513  0.7734633374 -0.6807018315 -0.9669643795
## [1581] -1.6189761839  0.7256609143 -0.4358386107  0.1013590595  0.4133443896
## [1586]  1.6669160183 -2.0276703424 -0.3678333158  1.6305950085  0.9467885208
## [1591] -0.8327201611  1.3835238236 -0.6228531716  1.3390333466  0.3359552472
## [1596] -1.3872503496  0.3882839968  0.6095220016  0.0792794184  1.1416413543
## [1601]  0.8112195239  0.0352305342 -0.6773898853 -0.7276210690  0.8470989408
## [1606]  1.4188512495 -0.8117445019  0.1337057339  0.4597116361  0.8192785929
## [1611] -0.4434560869 -0.6760651068  0.6112883729  0.6939766291  1.0905269850
## [1616]  1.5429388330 -0.4210452511 -0.8987382882 -0.4286627273  0.4912855230
## [1621] -1.2795017006 -1.4816408157 -0.5379569512  1.0136898336 -0.9564765500
## [1626]  0.9528604221  0.4528669473  1.0052995700  0.6483821701  0.5800456806
## [1631] -1.1618172130  0.9144418464  1.3029331332  0.0016694796 -0.9990902575
## [1636]  0.6336992087 -0.8077701665 -1.3607547802  0.8714969443 -0.0244948952
## [1641]  1.1037747697  0.7639690917  1.0850070747  0.7953221822  0.7233425519
## [1646] -0.2885674039 -1.2625003769 -0.8397856463 -3.8234075606 -1.2375503823
## [1651] -0.7621757075 -0.2022360068  1.4057138630 -0.9759066342 -1.0252546323
## [1656]  0.7825159903  0.7688266128 -0.4796666984  0.4034085511  0.8941285766
## [1661] -0.9010566506  0.1523630307 -0.4356178142 -1.1545309315 -1.1458094732
## [1666]  1.3217008282 -1.3931014545  1.0599466819 -0.7196723982  1.3062450794
## [1671]  0.6125027531 -0.4406961317 -0.8769898417 -0.5144421333 -0.4272275506
## [1676]  1.3271103403 -1.0609132528 -0.9116548783 -1.3773145111 -0.4241364008
## [1681]  0.9740568777  1.0875462334 -0.2341410884  0.4439246926  1.5560762195
## [1686]  0.6716761915  0.3918167394  1.1278415786  0.2301937659  0.2393568170
## [1691] -0.9962199041  0.4257089887 -0.3337202701 -0.0291316199 -0.8254338795
## [1696]  1.5375293209  0.6073140375  0.3717242659  0.8779000403  0.9908374050
## [1701] -1.3593196035 -0.8522606435 -0.9395856245 -0.8619756857 -0.1680125630
## [1706] -0.6755131158  0.9090323344 -0.0292420181 -0.8468511314  1.2615338060
## [1711]  0.0281650490  0.9068243702 -0.9137524443  0.2118676637  1.0179953636
## [1716] -0.3781003489 -0.9472031007 -1.4078948141 -0.0416066172 -1.5241441250
## [1721] -0.1797147728  0.5946182438  1.6112753225 -1.3407727049 -1.5398206703
## [1726] -3.1753700916  0.8590219471 -1.7326863361  1.0232944775 -1.0102404763
## [1731]  0.6042228877 -0.9984278682 -0.2766443977  1.9004082239 -0.2499280318
## [1736] -0.2382258220 -0.0704205489  0.5611675874 -0.4494175900 -0.4309810896
## [1741]  0.9244880832 -0.5487759754 -1.6038516297  1.4568282323 -0.2293939655
## [1746]  0.2623196438  1.4627897355 -0.9616652656  0.5102740144 -1.3320512466
## [1751] -0.3771067651  0.2818601263 -2.1038451045  1.6557657995 -1.3201282404
## [1756] -0.5326578373 -1.4289808715  1.6694551770  1.0920725598  0.6637275207
## [1761] -0.4416897156 -0.6475823697 -0.6331202047 -0.3833994628  1.3954468298
## [1766]  1.0192097439  1.3939012549  1.6463819520 -1.4805368337  1.0145730193
## [1771] -0.6712075858 -0.8249922867 -0.2338098937  0.4636859715  0.7503901124
## [1776]  1.2971924265  1.3420140981  0.1382320603 -0.3524879652  1.5851109477
## [1781] -0.4934664742 -2.1528619080 -2.2938404170  0.1847097051 -1.5227089483
## [1786]  0.5517837399  0.4384047823  0.1322705572  0.2356032780 -1.2076324685
## [1791] -1.9274287714  0.1255362667 -0.9566973464 -1.4028164967 -1.4861671422
## [1796] -0.8147252535  0.0053126204  0.6967365843 -1.0935911218 -0.2547855529
## [1801]  0.6261921307  0.0532254418 -0.5888505241 -0.1428417720  0.9640106409
## [1806] -1.0020710090 -0.2909961644  0.2859448599 -1.8448509133  0.2258882359
## [1811]  1.5920660346 -0.8246610920  1.1569867049 -1.1378608024  0.9858694857
## [1816]  0.5065204754  1.4436908458  0.1491614827  1.5148976887 -0.8342657360
## [1821] -0.0300148055 -1.8040035771  0.5427310870  0.7870423168  1.5970339539
## [1826]  0.2789897729  0.1093077304  0.5375423713 -0.5552894695 -0.0206309580
## [1831] -0.9537165948  2.1036513211  0.6871319404 -1.8703528989  1.0465884990
## [1836]  1.2132897900 -0.4508527667  0.0694539780  0.3562685171 -0.8257650741
## [1841] -0.9951159220 -1.6932741765 -1.0534061748 -0.2887882003 -0.7653772554
## [1846] -0.1365490743 -0.6779418763  0.4292417313  1.9673095367 -1.8187969367
## [1851]  1.6290494336 -0.8642940480  0.2984198572  0.1030150326 -1.2379919752
## [1856] -1.3313888574  0.0939623798 -1.0167539704 -0.5834410120  1.3130897682
## [1861]  0.2740218537  0.0170148302 -2.2179968495  0.2349408888 -0.8369152929
## [1866] -1.5089091726 -2.0614521934 -1.4666266597 -0.2802875385 -0.4657565245
## [1871]  0.2923479559 -0.9643148226  0.4522045581  0.8391502700  0.3680811252
## [1876]  0.1287378146 -0.8207971548 -0.5647837152  1.2918933126 -0.2395506005
## [1881] -0.2006904320  0.6678122543 -0.1770652159  0.3563789153 -0.0006488828
## [1886]  0.1850408997  0.9779208149  0.4599324325 -0.9855112781  0.7237841448
## [1891] -2.7123600158 -0.7140420897  0.6441870383  0.3825432901  0.9222801191
## [1896]  1.2322782814  0.1855928907  0.5208722422 -1.3563388520  0.2556957515
## [1901]  0.3179603396  0.3761401942 -1.0666539595 -0.2033399889  0.3774649727
## [1906] -2.1609209770  1.1326990996  1.3263375529  1.1017876020  0.7509421034
## [1911] -0.7388816860 -1.3414350941 -0.3838410556  1.3629897573 -0.8146148553
## [1916] -0.5545166821 -0.1187749631 -1.0647771900 -0.3319538988  0.2287585892
## [1921]  1.0942805240 -0.0909546152 -0.4310914878  0.2255570413  0.4739530047
## [1926]  0.5970470043  0.2316289426 -0.6580701993 -0.8065557863 -1.8834902854
## [1931] -0.2510320139  0.4515421689  0.9876358570 -0.7639420788 -1.1057349244
## [1936]  0.9722905064 -0.3588910611 -1.1423871288  1.2606506203  1.3497419726
## [1941] -1.4260001199  0.3779065655 -0.2561103314 -0.6755131158 -1.4435534347
## [1946] -0.4121029964 -0.0227285239  0.6907750812  1.5311262249  1.7308365795
## [1951]  1.5691032078 -0.6060726442 -0.2954120927 -0.5127861602 -2.0818758615
## [1956]  0.4410543393  0.1703579383  0.3882839968 -1.3065492611 -2.0884997539
## [1961] -1.3607547802  1.2722424320 -1.1882023843  0.9939285547 -0.2663773645
## [1966]  0.4721866334 -0.4217076403  1.2469612428 -1.7250688599  2.2918802622
## [1971]  0.2001654539  1.1424141418 -1.4488525485  0.2914647702 -1.0044997696
## [1976] -0.1025464269  1.1731048430 -0.3921209211  0.3792313440 -0.6693308163
## [1981] -1.1012085980 -0.8313953826  1.1928661219  1.4282350970  1.0019876238
## [1986]  1.2241088142 -1.5566011976 -0.4452224582 -0.0718557256 -0.7944119836
## [1991]  0.5262817543 -0.9979862754  1.3607817931 -1.9586714637  1.2377981917
## [1996] -1.0410415757 -0.1229700950  1.6977171177  0.4920583104 -1.7042035989
## [2001] -1.0064869373  0.6128339478  1.5001043291  0.5541021022  0.7681642236
## [2006] -0.9728154844 -0.2231012678  0.9327679486  1.2690408840 -0.5985655662
## [2011] -1.7411869979  1.5293598536  0.2515006197  0.2747946411 -1.0811161245
## [2016] -1.5798952190  1.2198032841  0.1808457678  1.1996004124 -0.2139382167
## [2021]  1.2334926617 -0.5960264075 -1.1376400059  0.4226178389 -1.0819993101
## [2026] -0.4921416957  1.0079491269 -0.2702413017  0.8286624404 -0.1397506223
## [2031]  0.4976886189 -1.5478797393  1.5997939091 -1.4986421394 -1.0606924564
## [2036] -0.0069415805 -0.3773275615 -0.2245364444  0.5133651642  0.0929687959
## [2041]  1.1899957685  1.3352798076  1.2030227568  0.6002485523  0.5129235714
## [2046] -1.2851320091  0.7719177626  1.2646249558 -0.9709387149 -0.5581598229
## [2051] -0.6217491895  0.6622923440  1.3874981590  0.3011798123 -1.0931495289
## [2056]  1.7255374656  0.8380462879  1.0097154982 -1.4086676016 -0.6995799247
## [2061] -0.2154837916  1.4116753661 -0.9571389392 -1.0646667918  1.3342862237
## [2066]  0.1996134629 -0.8047894150  0.9082595469 -2.1695320371 -0.7990487083
## [2071]  1.2163809398  0.7832887778  0.5344512215 -0.4403649371  0.5905335102
## [2076]  1.0135794354  2.0779285391 -0.0687645758  0.8330783687 -0.2663773645
## [2081]  1.4430284566  0.8335199615  1.1272895875 -1.5628938953  1.2225632393
## [2086] -1.6354255166  0.1339265303  0.8379358897  0.8159666467  0.5373215749
## [2091]  0.9553995809 -0.7250819103 -2.1513163331 -1.3405519085  0.4936038853
## [2096] -0.9754650414 -0.8784250183  0.2941143272  1.3366045860 -0.6627069239
## [2101] -0.1085079300 -0.4745883809  0.5927414743 -0.0378530782 -0.1834683118
## [2106]  0.3116676419  0.8344031471  1.2801911028 -0.9906999938 -0.6281522854
## [2111] -0.5354177924  0.6794040660 -0.9523918163  2.1405243218 -0.7124965148
## [2116] -0.7065350117 -0.5709660147 -2.3332525765  0.9916101924  0.8984341066
## [2121]  0.4484510191 -0.1461537182  0.8291040332 -0.2603054632 -0.4435664851
## [2126]  0.0061958060  1.7664952001  0.9137794572 -1.1609340274  0.9668809943
## [2131]  0.0387632768  1.1487068395 -1.5638874792 -0.8258754723  0.7582283850
## [2136]  0.7152834829  1.5107025568 -1.7552075701 -1.1938326928  1.2576698688
## [2141] -0.6917416521 -1.2468238316  0.7372527259 -0.3233428388 -1.5123315170
## [2146]  0.2938935307  0.9825575395 -1.5001877143 -0.6462575912 -1.4098819818
## [2151] -0.0326643625 -0.4030503435 -0.3716972530 -0.8714699314  0.1222243205
## [2156]  0.3765817870 -1.7237440814 -1.1890855699 -0.5386193404 -0.8065557863
## [2161]  0.1203475510  1.4040578899  0.0387632768  1.2340446527 -0.3949912744
## [2166] -1.3672682743 -1.6301264027  0.4782585347 -0.2191269324  1.6542202246
## [2171]  1.3183888821  1.7530266189  0.5737529829  1.3178368910 -0.4931352795
## [2176] -0.8556829879 -0.7938599926 -0.6676748432  0.0304834113  1.0302495645
## [2181] -1.1536477458  0.6667082723  1.9367292336 -1.6632458645  0.9255920653
## [2186] -0.3150629733  0.4473470370  0.1692539562 -0.4371633891 -0.7453951802
## [2191]  0.8837511452  0.3578140920  0.2044709839  0.0371073037  0.1977366934
## [2196]  0.2250050502  0.2793209676  1.1533435641 -1.4786600642  0.5868903694
## [2201]  0.3998758085 -0.5080390374  0.6847031798 -0.7476031443  1.3674056855
## [2206] -1.3717946008 -0.2679229394 -0.9521710199 -0.4593534285 -1.0217218897
## [2211] -0.7759754832  0.2248946520  0.1677083813  0.1586557284  0.2914647702
## [2216] -1.2045413188 -0.3629757947 -1.1071701011 -0.3942184870 -2.2187696369
## [2221] -0.8966407223  0.2158419991 -0.8363633019  0.9606986947  0.9157666249
## [2226] -0.0698685579  1.5248335272 -0.2254196301 -0.4791147074  0.8274480602
## [2231]  0.4970262297  0.3579244902  0.5473678116  0.9390606464  1.5589465728
## [2236]  1.0029812076  0.8145314701  1.3760167456  1.2050099245 -0.6861113436
## [2241]  0.8047060297  1.5284766680  1.5829029835 -1.6314511812 -0.8151668463
## [2246]  0.9310015773 -2.0424637020  1.0808119428  1.6178992148 -0.0579455517
## [2251]  0.4834472504  1.5556346267  1.2744503961  0.4932726907  1.2060035084
## [2256]  1.2398957576  1.5569594051  0.7980821374 -1.3827240232 -0.0729597077
## [2261]  0.9361902930  0.7263233035  1.5845589566 -1.7534411988 -1.3418766870
## [2266]  0.0374384983  1.2522603567  1.2582218598 -1.8366814461 -2.6197359210
## [2271]  0.8308704045  1.7356941006  0.6764233144 -0.2377842292  0.4144483717
## [2276] -1.0961302805  0.0224243423  0.7726905500 -0.0661150189  1.4160912943
## [2281]  0.8491965067  0.2120884601 -0.6904168736  0.3579244902  1.4631209301
## [2286]  1.0819159249 -0.5763755268  0.4766025616 -0.0994552771 -0.5124549656
## [2291]  0.0441727889  0.7805288226  0.5978197918 -0.2300563547  1.1744296215
## [2296] -0.6846761669 -0.3482928333  1.0459261097 -0.3461952674  1.7512602476
## [2301] -1.9694904879  0.2415647811  0.1277442308 -2.1146641287 -0.9810953499
## [2306] -1.4609963512  1.2562346921 -0.7497007102 -1.2730986047 -0.6252819321
## [2311] -0.6854489543  1.1574282978  1.2287455388  0.0789482237 -0.2151525969
## [2316]  0.8255712907  1.2386813774 -0.3131862038  0.4549645132 -1.2899895302
## [2321] -0.6515567051 -0.5800186676 -0.5173124867 -2.4285262282 -0.6887609005
## [2326]  0.3339680795  1.7359148970 -0.7447327909  1.4602505767  0.2361552690
## [2331] -2.3451755827  1.5524330787  0.0897672479 -1.2273937474 -0.3922313193
## [2336] -0.7218803623  0.0237491208 -2.4158304346  0.4337680577 -0.3693788907
## [2341]  1.3349486130  0.5082868467  0.2494030537  0.1477263061  0.8039332423
## [2346] -0.8154980410  0.2823017191  0.0269506687 -0.9691723436 -1.9602170386
## [2351]  0.2429999578 -0.1578559280 -2.1165408982  0.9719593118 -1.0655499775
## [2356] -1.0438015309  0.2050229749  0.2741322519 -0.3450912854  0.3188435253
## [2361] -0.9597884961 -0.2076455189  0.4034085511  1.4316574414 -0.8507150687
## [2366] -0.1979304768  0.6513629216 -2.2698840063 -0.9203763366  0.2044709839
## [2371] -1.0751546214  0.2081141247  0.9818951503  1.4922660564 -1.3870295532
## [2376]  0.8572555758  0.7265440999  0.4123508057 -1.1233986374  0.8562619919
## [2381]  0.4023045690  0.1266402487  0.9896230247 -0.5367425709  0.1119572873
## [2386]  1.0046371807 -1.4029268949 -0.9318577500  1.2281935478 -1.0197347220
## [2391] -0.3996279991  1.1816055049  0.3044917585 -0.2168085700  0.0160212463
## [2396] -2.0081298599  0.2198163345 -0.5997799465  0.9389502482 -1.1794809260
## [2401]  1.4811158376 -1.0261378179 -0.5355281906 -0.3974200350 -0.5839930031
## [2406] -0.4770171415 -0.0835579354  1.6629416829 -0.6145733061  0.8898230465
## [2411] -0.0013112720 -1.5392686792 -0.7278418654  1.2488380123  0.8925830017
## [2416]  1.8516122168 -0.4122133946 -1.1889751717  0.2803145514 -0.9516190289
## [2421]  1.1065347248 -0.1934041504 -1.5844215455  0.1481678989  0.1871384656
## [2426]  1.4871877390 -0.2176917557  0.0037670455  1.1384398063  0.3318705136
## [2431] -0.6252819321  0.3118884383 -0.4013943704 -0.4790043092 -0.5020775342
## [2436]  1.5476859558  0.3694059036 -0.0716349292  0.0759674722 -0.4888297495
## [2441] -1.0072597247 -0.8892440425  0.2837368958 -1.2535581222  1.4860837569
## [2446]  0.3023941926 -0.3029191707  0.4246050066  0.7315120192  0.0998134847
## [2451]  0.4872007894  0.3981094372  0.5277169310 -0.7484863299  0.9004212743
## [2456] -1.4018229128 -0.5301186785  1.2058931102 -0.7667020339  0.4951494602
## [2461] -0.0847723157  1.3139729538  0.1664940011 -0.5733947753 -0.8748922758
## [2466]  0.5029877328  1.0003316507 -1.2024437528  1.5059554340 -1.1345488562
## [2471] -0.3262131921  0.5977093935 -0.4530607308  1.6023330678  0.1523630307
## [2476]  2.3580087876  0.3165251630  0.0196643871  0.3501966158 -0.1920793719
## [2481] -0.2766443977 -0.0901818278 -0.1244052716  1.0194305403 -0.6051894586
## [2486]  0.2357136762 -0.4055895022 -0.5927144613  0.4370800039 -1.3827240232
## [2491] -0.0650110368 -0.8814057699  0.9794663898 -0.0337683445  1.5660120580
## [2496]  0.6442974365 -2.0142017613 -0.1088391246  0.3424687414 -0.3845034449
## [2501]  1.4972339757  0.5125923768  1.3294287027 -2.6061569416  0.4616988038
## [2506]  0.4318912882 -0.8161604302 -1.0827720976 -1.2079636631 -0.7152564699
## [2511] -0.9255650523 -1.3730089811 -0.0531984288 -1.1568492938 -0.5650045116
## [2516] -1.2127107860  1.1268479947  1.1532331659  0.8430142072  0.6893399045
## [2521] -2.9142783345 -0.7556622133 -0.0030776433 -1.9952132698  0.0484783189
## [2526] -0.1908649916  0.9694201530  1.1590842709 -0.4121029964 -1.5506396944
## [2531] -0.3792043310 -0.0640174530 -0.5758235358 -0.1961641055  0.3708410803
## [2536]  0.5890983335  1.5636936957  0.4734010136 -0.2074247225 -1.5857463239
## [2541] -0.5390609332  0.3779065655  1.4911620744  1.0381982353  1.1109506531
## [2546]  0.7153938811  0.8299872189  0.6510317270  0.8352863328  0.9146626429
## [2551] -0.4752507702 -0.5599261942  1.2881397736  0.9954741296 -1.7086195272
## [2556] -1.2071908757  1.8006082457 -0.6278210908  0.5536605094 -1.4092195926
## [2561] -0.7245299192  1.3697240478  1.1904373613  0.4395087644  0.5253985686
## [2566] -0.2534607744  0.7295248515  0.8506316834  1.2281935478 -0.6037542819
## [2571]  1.1494796269  0.7527084747 -1.0081429104 -2.2012163222 -1.0651083846
## [2576]  1.0867734460  0.3381632113  0.2581245120 -1.0844280707  0.3885047933
## [2581] -1.8406557815 -1.2339072415 -0.2588702865 -0.5832202156  1.4492107561
## [2586]  0.9663290033  1.0288143878  1.0363214658  1.0453741187 -1.2496941850
## [2591] -0.1015528430  0.8470989408  0.4527565491  0.3011798123 -1.1997941959
## [2596] -0.2742156371  0.5212034368 -1.5363983259  0.6805080480 -2.4971939123
## [2601]  1.5269310931  0.1586557284  0.0316977916  1.1683577202  0.4559580971
## [2606]  0.3919271376  0.1019110506 -0.6390817078 -0.0505488719  0.0705579601
## [2611] -0.4995383755 -0.5775899071 -0.0386258656 -0.4455536528  0.8544956206
## [2616] -1.3281873094 -1.0589260851  1.1782935587  1.1262960037  0.8670810161
## [2621]  0.7763336908 -0.8031334419 -0.5963576021  0.2329537211 -0.4083494574
## [2626]  0.8504108870  1.1676953309 -0.7244195210 -1.1507773925 -1.0028437965
## [2631]  0.5122611821  1.2429869074  1.0765064128 -0.3331682791  0.1701371419
## [2636]  0.9117922895  1.0092739054  0.9869734678  0.6268545199  0.2774441981
## [2641]  1.7143872468 -1.2822616558 -0.8672747995  0.9536332096 -0.9898168082
## [2646] -0.9592365051  0.9017460528  1.4793494663 -0.8907896174  1.2163809398
## [2651]  1.0869942424  1.5830133817 -0.0421586082  0.9865318749 -0.9267794326
## [2656]  0.9113506967  0.3253570194  0.5035397239  0.0111637253 -0.4230324188
## [2661] -0.4883881567 -0.6977031552  1.0290351842 -0.8002630885 -1.2617275894
## [2666]  0.3456702893 -0.0017528648 -0.7392128806 -0.7717803514 -0.7835929594
## [2671]  0.8882774716  0.2305249605  0.0928583977  0.5425102906  0.6073140375
## [2676] -0.9679579634 -0.5719595986 -0.7278418654  0.3953494820 -1.1357632364
## [2681]  1.2257647873 -2.5937923426  1.7169264056  0.8142002754 -0.8072181755
## [2686]  1.5500043182  1.3946740424  0.4599324325 -1.4443262221  0.8902646393
## [2691]  1.3661913052  1.2383501827 -0.3616510162 -0.8588845359  0.5246257812
## [2696]  0.7006005215 -1.1549725243  0.6251985468  1.2068866940 -0.5015255432
## [2701] -0.0706413453  1.5621481208  1.5213007846  0.4766025616 -0.2417585646
## [2706] -0.6407376809  0.0484783189 -0.8668332067 -0.1176709811 -0.1919689737
## [2711]  1.4483275705 -0.4358386107  0.3952390838 -1.2944054584  0.5162355175
## [2716] -0.9289873967  0.6178018670 -0.5464576130  0.4805768970 -1.4024853020
## [2721] -0.2420897592 -0.6085014048 -0.0400610423  1.4558346485  1.6913140218
## [2726]  0.3447871037  0.1857032889 -0.4764651504 -1.7584091181 -1.4890374955
## [2731] -0.0812395731 -0.4552686949 -0.2946393052  0.9328783468 -1.3029061203
## [2736]  1.7931011677  0.1651692226 -0.3804187113  0.5319120628  1.9943570972
## [2741]  1.3181680856  0.7299664443 -0.6494591392  1.3255647654  0.1160420209
## [2746]  0.0966119367  0.8805495972  0.9371838769 -0.1141382385  0.4674395105
## [2751] -0.6507839177 -1.0082533086  0.8429038090 -0.4727116114 -0.5635693350
## [2756] -0.3797563220  0.2792105694 -1.0302225515  0.3800041314 -1.9593338529
## [2761]  1.1438493184 -0.2604158614 -1.0218322879  0.1136132604  0.5970470043
## [2766] -1.1035269603  0.1233283025 -0.2197893216  1.1720008610  0.9440285656
## [2771] -0.0048440146 -0.8697035601  1.2436492966  0.1766506360  0.0989302990
## [2776] -0.7892232679 -0.7671436267 -1.7748584507  1.4474443848  0.4401711536
## [2781] -0.8178164033 -0.0144486585  0.8289936350  0.4990133974  0.7691578074
## [2786]  1.2807430938  1.1429661328  0.9266960473  1.2517083657  0.1428687850
## [2791]  1.4039474917 -0.4606782070  1.8747958401  0.2543709730 -1.2595196253
## [2796] -0.5157669118 -2.1460172192  0.4790313221 -0.6722011696  1.0610506640
## [2801] -1.1686619018 -1.0397167973  0.8707241569  0.6010213397 -0.4665293119
## [2806] -1.5492045178 -1.5791224316  0.9556203773 -0.2718972748 -0.2566623224
## [2811] -0.9422351814 -0.7989383101  1.4611337624  1.3077906543 -1.5366191223
## [2816] -0.7144836825 -0.1102743013  1.2910101270 -0.2100742795  0.2635340241
## [2821]  0.0493615045 -1.8807303303  0.0714411457  0.7645210828 -0.4236948080
## [2826] -0.6625965257 -0.5669916793  0.4682122980 -1.3121795696 -0.6493487410
## [2831]  1.2404477487 -1.0760378070  0.8466573480 -0.2175813575 -0.5562830534
## [2836] -0.3741260135  1.2676057073  1.4795702628  0.0753050829 -0.0598223212
## [2841] -0.9154084173  0.1632924531  0.6565516373 -0.3828474718 -1.1095988616
## [2846]  1.9568217071 -1.6667786071 -2.5678487642  0.8039332423  0.9948117404
## [2851]  1.3849590003 -0.3318435006 -1.0779145765 -0.6837929812  0.6601947781
## [2856]  0.6385567298 -1.5181826219 -1.2448366639 -0.2456225018  0.8968885317
## [2861]  0.1946455436 -0.1991448571 -1.1260481943 -1.4942262112 -0.8186995889
## [2866] -0.3472992495 -0.3091014702  1.3634313501 -0.9753546432 -0.3775483579
## [2871]  0.9335407361 -0.1832475154 -0.8629692695 -1.5452301824  0.1101909160
## [2876] -0.1635966348 -1.0710698878 -0.6603885616 -0.0064999877 -0.3476304441
## [2881]  0.6541228768 -0.1701101289  0.5177810924  0.0043190365 -1.3175890817
## [2886] -1.1948262766  0.8197201857 -1.0402687883  0.6724489790 -1.0578221030
## [2891]  0.2433311524  1.4075906325 -0.2978408532  0.9042852115  1.3997523599
## [2896] -1.5797848208 -1.0373984349  1.3484171941 -0.7200035928 -0.0021944576
## [2901]  1.4603609749  0.2894776025  1.3668536945  0.8153042575 -0.3126342128
## [2906]  1.3466508228  1.3658601106 -2.1383997430  1.6373292991  0.8818743757
## [2911]  1.1771895766  1.3606713949 -0.9408000047 -0.5318850498 -0.4690684706
## [2916]  0.6511421252 -1.2047621152 -1.5796744226 -1.4818616121 -0.6947224036
## [2921]  0.7008213179 -1.4566908212 -0.1921897701  0.5247361794  0.5363279910
## [2926] -0.8326097629  1.2044579335  0.5274961346 -1.6633562627 -0.0822331570
## [2931]  1.1552203336 -1.2779561257  1.3085634417  1.0613818586 -1.1772729619
## [2936] -0.9566973464  1.1224320665  1.2117442151 -1.0867464330 -0.6289250729
## [2941] -1.7758520346 -0.4756923630  1.3042579117 -1.7823655288  2.5559527709
## [2946] -1.3395583246 -0.5972407878  0.0534462382 -1.5517436765 -0.7107301435
## [2951] -0.4024983525 -0.6563038280 -0.3415585428 -1.6354255166 -0.3177125303
## [2956] -1.3780872985 -0.3178229285 -1.8365710479 -1.7123730662  1.9923699294
## [2961]  0.1709099293  1.2634105755  1.6648184524  0.4471262406  0.1763194414
## [2966]  1.0027604112  1.2447532787  0.4992341938 -0.6193204290 -0.3831786664
## [2971]  0.7956533768 -0.3408961535  1.6937427823  1.3761271438 -0.5487759754
## [2976]  1.3983171832 -0.7445119945  0.3924791287  1.2738984051  1.0061827556
## [2981] -0.7720011478 -2.1572778362  1.2665017253 -0.2861386434 -1.2687930746
## [2986] -0.7143732843  0.8323055812 -0.4530607308  0.9580491378 -0.1807083567
## [2991]  0.3737114337 -0.2186853395 -0.0475681203  1.1569867049 -2.0024995514
## [2996] -0.5985655662  0.9941493512 -2.2606105570  0.5730905936  0.7639690917
## [3001] -0.6829097956 -0.3098742577 -1.5186242147 -0.1720972966  0.5273857364
## [3006]  1.0523292057 -0.8596573233 -0.0822331570  0.8350655364  1.2341550509
## [3011] -1.9455340772  1.7363564898 -1.7046451918  0.0312561988  1.3922452818
## [3016]  0.0902088407 -0.2307187440  0.8650938484  0.5177810924  1.3035955225
## [3021]  0.3076933065 -1.6696489605  1.4021811204  2.2748789385 -0.0942665614
## [3026]  1.4580426126  0.2908023810  0.7181538363  0.5263921525  0.5441662637
## [3031] -1.5344111582 -0.9994214521 -1.0935911218 -0.6576286064  0.2526046017
## [3036]  0.2842888868 -2.2611625480  0.6431934544  0.2781065873 -1.6444781695
## [3041] -0.5884089313 -0.2513632085 -0.9728154844 -0.1123718672 -0.7752026958
## [3046] -0.6945016072 -0.1780587997  0.7130755188  0.5309184789  1.4050514737
## [3051]  0.2279858018 -1.0339760905  0.2603324761 -1.5781288477  0.4124612039
## [3056] -0.3359282343  1.2237776195  0.7215761806  1.3894853267 -0.4737051953
## [3061]  0.3009590159  1.4000835545  0.4173187250 -1.9144017831  0.8519564619
## [3066] -0.1140278403  1.6463819520 -1.4965445735 -0.3170501410 -1.5100131546
## [3071] -1.9588922601 -0.3546959293  0.4819016755  0.8126547006  0.2543709730
## [3076] -0.9676267688  0.3774649727  0.0874488856  0.2665147757 -1.5774664585
## [3081]  1.7818405507 -0.7773002617  0.7018149018 -0.3148421769 -0.3499488064
## [3086] -0.6708763911  1.8342796985 -0.7081909848  1.3184992803 -0.1555375657
## [3091]  0.5051956970 -0.1049751874  0.9970197045 -0.5189684597 -1.5261312927
## [3096] -0.4627757729  1.1763063910 -0.8121860948 -2.0528411334  0.7024772910
## [3101] -0.5920520721  1.1535643606  0.7830679814  0.1772026270 -1.8903349742
## [3106]  0.7382463097 -0.8338241431  0.1168148084  1.3701656407 -0.0177606047
## [3111]  0.8806599954  0.6802872516  1.9015122059  0.0101701414  1.1092946800
## [3116] -0.6448224145  0.6303872625  0.7390190972 -0.5633485385 -1.0548413515
## [3121]  0.3706202839  0.7762232926  0.4381839859 -1.2122691932 -0.6039750783
## [3126]  1.3372669753  1.7083153455  0.4877527804  1.3549306882 -0.2160357826
## [3131] -0.6437184325 -0.5409377027  0.6433038526  1.4620169480 -0.3447600907
## [3136] -1.6317823758 -0.7775210581 -0.5932664524  0.0214307584 -0.1077351425
## [3141] -0.1312499604 -0.8152772445 -0.0900714296  1.5333341891  1.5877605046
## [3146] -1.6417182144  0.7166082614  0.9369630805 -2.1228335959  1.5782662589
## [3151]  0.5373215749  0.3886151915  0.7458637859  1.1195617131 -1.9201424898
## [3156]  0.4746153939  1.3562554667  1.0715384935  0.2691643326 -1.3121795696
## [3161]  0.4815704809 -0.2391090076  1.4104609858  0.8634378753  0.3736010354
## [3166] -0.2779691761 -0.4228116224 -0.1246260681  1.7347005167  0.2820809227
## [3171] -0.6156772882 -0.5260339449 -1.7894310139 -1.5517436765 -0.8751130722
## [3176] -0.1387570384  2.4403658492 -2.1005331583 -0.8043478221 -0.6163396774
## [3181] -0.2944185088  0.6427518616  0.8918102142 -0.6003319375  1.0673433617
## [3186]  0.9217281280  0.1500446684  1.4577114180 -0.8787562130  0.6703514131
## [3191] -1.2842488235 -1.7246272670  0.5621611712 -0.6591741813 -0.9600092926
## [3196] -2.2886517013  0.4983510082  1.8733606634 -1.2017813636 -0.5294562893
## [3201]  0.7506109088  0.0173460248 -1.0122276440  0.4095908506  1.3855109913
## [3206] -1.8576571052 -0.2366802471  0.9105779092  0.4821224719  0.2856136653
## [3211]  0.9615818804  0.7128547224 -0.1284900053  1.1377774171 -0.8099781307
## [3216]  0.6218866007  0.4345408451  0.0920856102  0.5225282153 -2.3477147415
## [3221]  0.0159108481  0.6165874868 -0.7136004969 -0.2336994955  0.0386528786
## [3226]  1.2075490833  1.3627689609 -1.3741129631  0.7106467582 -2.0309822886
## [3231] -0.6803706369  0.2505070358 -0.8913416084 -1.4630939171 -1.1609340274
## [3236] -0.5987863627 -2.1070466525  0.6019045254  0.8083491705 -0.2094118902
## [3241]  2.3702629884  0.7418894505 -0.1512320357 -0.7899960554  1.5067282214
## [3246]  1.9690759080  0.5118195893 -0.9742506611 -0.3735740225  1.5094881766
## [3251]  0.7081075995  0.9718489135 -0.9215907169  1.0449325259 -0.6327890101
## [3256] -1.1359840329 -0.7707867675  0.6734425628  0.3614572328 -1.0166435722
## [3261] -2.4970835141 -1.1629211951  0.8483133211 -0.2896713860 -0.7650460608
## [3266] -0.7020086852  1.0295871753 -1.2464926370 -0.0533088270 -1.9104274477
## [3271] -0.3216868657  1.0093843036 -0.4220388349  0.4010901887 -1.5050452354
## [3276]  0.7395710882 -0.1393090294 -0.8267586580  1.0085011179  0.6260817325
## [3281]  1.8665159747 -1.3110755875 -0.9114340819  0.1736698845 -1.3813992447
## [3286] -0.8660604193  0.1326017518 -0.9773418109 -2.0119937972  1.5352109586
## [3291]  0.8075763831 -0.2224388785 -0.8358113108 -0.8753338686 -1.2275041456
## [3296] -1.4372607369 -0.8865944856 -1.0000838413  1.0454845169 -0.5879673385
## [3301]  0.2968742823 -0.4369425927 -1.2382127716 -0.8322785683 -0.3766651723
## [3306] -0.3785419418  0.0120469109  0.2446559309  0.2690539344  0.0963911403
## [3311] -0.5570558408  0.5111572001 -0.9579117266 -1.2968342189 -0.8270898526
## [3316] -0.2036711835 -0.4796666984  1.1818263013 -0.8224531279  0.9896230247
## [3321] -1.6546348045  0.4881943732 -0.9462095168  0.8629962825 -1.1877607915
## [3326]  1.4785766789  0.1534670128  0.6023461182 -0.3309603150 -1.3725673882
## [3331]  1.6339069547 -0.2541231636  0.9730632938  0.6605259727  1.4574906216
## [3336]  1.0005524471  0.5276065328  0.1138340568  0.4026357636 -0.0418274136
## [3341] -0.1488032752  0.8387086772 -1.3462926152 -0.8515982543 -0.5095846122
## [3346]  0.2457599129  0.8470989408  1.0417309779 -1.0940327146 -0.4498591828
## [3351]  1.6969443303  1.4052722701 -0.7511358869 -1.2035477349 -0.3391297822
## [3356]  0.8793352170 -2.2680072368  1.6293806282 -0.1940665396  2.0222878433
## [3361]  0.9385086553  0.8785624295  1.8816405289 -0.4161877300  1.3897061231
## [3366]  0.1418752011  4.7778270640 -1.2989317849  0.2613260600 -1.7977108794
## [3371] -0.0593807283  0.8431246054  0.0958391493  0.5007797687 -0.2125030400
## [3376] -0.4963368275  0.7730217446  0.9190785711 -0.0906234206  0.3207202948
## [3381]  1.9718358631  1.2426557128 -0.1643694222 -0.9276626182 -0.7012358978
## [3386]  1.6690135842  0.7957637750  0.9995588632 -0.2254196301  0.5276065328
## [3391]  1.0704345115  0.8259024853  0.2450975237  0.5016629544 -0.3498384082
## [3396] -1.3508189417  1.4694136278  0.3965638623  0.5558684735 -0.4835306356
## [3401] -1.1415039432 -1.9021475822  0.5960534205 -1.9821862815  0.3028357854
## [3406] -0.7362321291  0.7467469716 -0.9999734431  0.7835095742 -0.4787835128
## [3411]  0.7528188729  0.6106259836 -0.1948393270  0.0571997772  0.6573244248
## [3416]  1.0803703500 -0.5351969960 -1.5611275240 -1.5243649214 -1.5464445626
## [3421] -0.3668397319  1.6897684469 -0.3651837588 -2.7875411940 -0.8029126455
## [3426] -0.2649421878 -0.8793082040  0.2458703112  0.4566204863  1.4568282323
## [3431] -0.5924936649  0.7370319295  1.7322717562 -0.0569519678 -1.1629211951
## [3436]  0.2855032671  0.4062789044 -0.7876776930 -0.0104743231 -1.7214257191
## [3441] -0.6834617866 -0.8653980300  0.5620507730 -0.4696204617  0.2876008330
## [3446] -0.6460367948 -1.2416351160  0.2441039399 -0.8141732625  1.4549514628
## [3451]  0.5083972449 -0.2012424230 -0.8681579852  1.8141872250 -0.3673917230
## [3456]  0.6777480929  1.2205760716 -0.1280484124 -0.8874776712  1.4196240369
## [3461]  0.6300560679 -1.1915143305  0.8940181783  0.9333199397  1.0799287572
## [3466]  1.7232191033  0.1531358181  0.5303664879  0.2995238392  0.1069893681
## [3471]  1.5217423774 -0.7113925327 -1.3397791211  0.3922583323  0.0494719027
## [3476] -0.1467057092 -0.0958121363  0.6768649072 -0.5316642534  1.4100193930
## [3481]  0.5058580862 -1.0640044026  0.2702683147 -0.5924936649  0.9725113028
## [3486] -1.9478524395 -0.9080117375 -0.2784107690  0.2507278322  1.0211969116
## [3491]  0.7811912119 -2.7598312443 -0.9813161463 -0.0508800665 -0.0934937740
## [3496]  1.3624377662  0.4495550011 -0.1100535049 -0.3327266863  0.2955495038
## [3501]  0.1903400136  0.0502446902  0.8149730629  1.2186993021  0.9889606355
## [3506] -1.7639290284 -0.3354866414  0.0279442526  0.4934934871 -0.1624926527
## [3511] -1.0897271846  1.1563243157  0.7662874540  1.4946948170 -1.9397933705
## [3516] -0.4055895022 -1.5705113715  1.1527915731  1.3904789106  0.2405711973
## [3521] -0.7733259263  1.0936181347 -0.7302706260 -1.2027749475  0.2805353478
## [3526] -0.7070870027  0.5366591857 -0.4511839613 -1.1441535001  0.6179122652
## [3531] -0.4482032097 -0.8773210363 -0.4798874948 -1.3101924019 -0.9584637177
## [3536] -0.1548751765  0.0839161430 -2.3366749209  0.7605467473 -0.4981031988
## [3541] -0.7699035819  0.5975989953 -1.2247441904  0.9537436078 -1.3811784483
## [3546]  0.0202163782 -0.1977096804 -2.5525034135  0.0046502311  0.2490718591
## [3551] -0.4569246680  0.1119572873 -0.1894298150  0.5114883947 -0.2994968263
## [3556] -1.4868295314 -0.0538608180 -3.1221581563  1.4187408513 -1.8131666282
## [3561] -0.7203347874  0.0272818634  0.9791351951  0.1150484371  0.4830056576
## [3566] -0.6742987355  1.0938389311 -0.2594222775  0.1852616961  0.7626443133
## [3571] -1.8805095339 -1.3972965864 -0.3042439491  0.8376046951 -0.4987655881
## [3576]  0.6954118058 -0.2629550201 -0.8163812266  0.3743738229  0.3270129925
## [3581] -0.4667501083  0.6803976498 -0.7990487083  0.9618026768 -2.7052945306
## [3586] -0.0672190010  0.9002004779  0.4742841993 -0.2260820193  1.6990418962
## [3591] -2.9638471289  0.3106740581 -0.4935768724 -0.9165123994  0.1141652514
## [3596] -0.0522048449 -1.2151395465  0.1841577140  1.4503147382  0.7242257376
## [3601]  1.6300430175  1.3102194148  1.3042579117  0.0709995529  1.5768310822
## [3606]  0.7716969661  0.6086388159  1.0847862782  0.6533500894 -0.7502527012
## [3611]  0.2060165588  1.0146834175  0.0113845217  1.2523707549  0.6885671171
## [3616]  0.9985652794  0.5830264322 -0.1569727424 -0.3736844207 -0.5915000811
## [3621] -0.5414896938  0.2130820440  0.1416544047 -1.2875607696  1.1676953309
## [3626] -2.3771910625  1.0678953527 -0.5498799574  0.6571036284  0.6605259727
## [3631]  1.7203487500  1.4530746933  0.4669979177 -0.7919832231 -0.0805771839
## [3636]  0.5824744411  0.6006901451 -0.3980824242  0.7825159903 -0.6237363572
## [3641] -1.6398414449 -1.0666539595  1.1393229920 -1.1689930964 -1.2217634389
## [3646] -0.6261651177  1.6792806173 -1.0675371452 -0.4312018860 -0.1828059226
## [3651]  1.2987380014 -1.1978070282 -1.3672682743  1.1844758582 -2.2033138881
## [3656]  1.0455949151 -0.9500734540 -1.0240402520 -0.1144694331 -1.0896167864
## [3661] -0.7697931837  1.1234256503  1.1994900142 -1.2302641007 -2.2645848924
## [3666] -0.3518255759  1.2117442151  1.0192097439  0.1173667994  0.5717658151
## [3671] -1.7202113388  0.0631612803 -0.0936041722 -0.4812122733 -1.4858359475
## [3676] -1.2733194011  0.3016214052 -0.0324435661 -1.6586091399 -0.3883673821
## [3681]  0.3887255897 -0.6752923194 -1.0718426752 -0.2075351207  0.8986549030
## [3686] -1.4447678149 -0.1653630061 -0.6289250729 -0.4384881676  0.7347135671
## [3691] -0.8585533413 -1.0526333874  1.3458780353  0.5447182547  0.1564477643
## [3696]  1.7524746279 -1.3708010169 -0.5178644777 -0.3035815599  1.8768934060
## [3701]  0.7339407797  1.2071074904 -0.7789562348  1.5367565334 -0.5615821672
## [3706] -0.7784042437 -2.8639367525 -1.7415181925 -0.6925144395 -0.0263716647
## [3711] -0.0240533024  1.1186785275 -0.8060037952 -0.2107366687  0.2131924422
## [3716]  0.1258674613  0.3122196329  0.8616715040 -0.1723180930  0.7191474201
## [3721] -0.5688684488  1.7184719805  1.0645834066  1.1685785166 -0.6335617975
## [3726] -0.8641836498 -0.4793355038 -1.0943639092 -1.5828759706 -1.4444366203
## [3731] -1.4091091944 -0.9527230110 -0.6540958638  0.5692266564 -0.7297186349
## [3736]  1.1768583820 -1.0152083955 -0.8501630776  0.3075829083 -1.2127107860
## [3741]  0.5025461400 -0.4302083021  1.7987314762  1.5131313174  1.6172368256
## [3746] -1.3309472646  1.1670329417 -1.1233986374  0.1594285159 -0.2459536964
## [3751] -1.0574909084 -0.1747468536 -0.3076662935  1.0952741078 -1.9503915982
## [3756] -0.8740090901  1.3751335599 -0.1005592592  0.8158562485 -1.7872230498
## [3761]  0.8332991651 -0.7782938455 -2.2411804727  1.1143729974 -0.0899610314
## [3766] -0.6421728576  0.5811496627  0.4352032344  0.0499134956 -1.0099092816
## [3771] -0.4126549874 -0.8236675082 -1.2015605672 -0.4650941352 -1.0371776385
## [3776]  0.3442351127  0.1199059582  0.3146483935  0.5171187032 -0.8754442668
## [3781] -1.2856840001 -0.6099365815 -0.9516190289  0.9070451666  1.0833511016
## [3786] -0.3342722612 -0.6559726333 -1.1674475216 -1.1408415539 -0.3263235903
## [3791]  0.9418206015 -1.5795640244  1.3515083438 -1.6253792799  0.1518110397
## [3796]  0.6659354848  0.0471535404  1.4952468080 -0.8201347656  0.9517564401
## [3801]  1.5026434878  0.2028150108  0.1763194414 -0.0848827139 -0.7083013830
## [3806]  0.4554061061  0.2473054878  1.7106337078 -1.8669305545  0.3487614391
## [3811] -1.8532411770  1.1140418028  0.0084037701  0.1751050611  1.2518187639
## [3816] -1.0268002072 -1.5405934577 -0.2523567923  1.2472924374  1.5256063146
## [3821] -0.2856970505 -1.0139940153  0.0655900408 -1.3675994690 -1.1108132419
## [3826]  1.5735191360  1.0173329744  1.6304846103 -0.9028230219 -1.0733882501
## [3831] -0.4701724527 -0.3400129679  0.7406750703  0.2127508494 -1.0367360457
## [3836]  1.1971716519  0.5029877328 -0.3729116333 -0.8989590847 -0.2235428606
## [3841]  0.2534877874 -1.0792393550  1.1573178996 -1.4126419370  0.7501693160
## [3846] -0.4854074051 -0.0331059553 -0.3917897265  1.3571386524  0.5948390402
## [3851] -0.1633758383  0.9254816670  1.4456780135 -1.4097715836  0.7824055921
## [3856]  1.6657016380  0.0045398329 -0.0259300719 -0.4444496707  1.4015187311
## [3861]  0.5482509973  0.9407166195 -0.8002630885 -1.3265313363 -0.7790666330
## [3866]  0.5367695839  0.2112052745  1.3733671886 -0.7789562348  1.2991795942
## [3871]  1.3563658649 -0.3129654074 -1.5939157912 -1.5739337159 -1.6110275131
## [3876]  0.6617403530 -0.2375634327 -1.0552829443  0.0078517791  0.1551229859
## [3881] -1.3857047747  1.3305326847  0.2884840187 -1.1333344759  1.1531227677
## [3886]  0.8094531526  0.2954391056 -0.4597950213  1.4177472674  0.0367761091
## [3891]  0.6147107173  0.7440974147 -2.4306237942  0.3765817870  0.8710553515
## [3896] -1.3605339838  0.7882566970  0.9326575504 -0.2821643080 -1.3179202763
## [3901] -0.2351346722  1.0223008937  0.0271714651 -0.4367217963 -0.6264963123
## [3906] -0.6701036037  0.3614572328 -0.2387778130  0.5262817543 -0.0087079518
## [3911] -0.1932937522  1.2191408949  0.9797975844 -1.5192866039  1.6672472129
## [3916]  1.4828822089  0.4150003627  0.1999446575  0.8169602306 -0.6810330261
## [3921]  0.2817497281 -1.8345838802  0.0706683583 -1.3257585489  0.0047606293
## [3926] -1.3759897326 -0.3291939437  2.2957441994  0.6010213397  0.4983510082
## [3931] -0.0090391464  0.6176914688  0.4658939356 -0.7908792410  0.3819912991
## [3936] -1.5543932334 -0.4164085264  0.5553164825 -0.0140070657  1.5063970268
## [3941] -0.4092326430 -2.4889140469  1.1331406925  0.2199267328 -0.6465887858
## [3946]  0.8303184135  1.1260752073 -0.6810330261 -1.1423871288  0.2893672043
## [3951]  0.1469535186  0.3301041423 -1.2772937365 -0.5581598229 -1.0377296296
## [3956] -1.6159954324 -2.3213295703  1.1498108216  0.5191058709 -0.8058933970
## [3961] -0.4975512078  0.3146483935 -1.2555452899  1.1062035302 -1.9875957936
## [3966] -0.2169189682  2.3225709635  0.1403296263 -1.7578571270 -0.3425521266
## [3971] -2.2565258234  1.1753128071  0.1572205518  0.3707306821  1.5047410537
## [3976] -1.0142148117  0.6679226525  1.5284766680 -0.4754715666  0.5547644914
## [3981]  1.5420556473 -0.1154630170  0.2327329246 -0.0100327303 -0.3071143025
## [3986]  1.3340654273  0.1401088298  1.3699448442 -1.2235298102  1.1941909004
## [3991] -0.9760170324  1.6156912507  0.0341265521 -0.7723323424 -1.0863048402
## [3996] -1.5637770810  1.0618234514  0.9622442696 -0.3926729121  0.0982679098
## [4001]  1.3576906434  1.4953572062  1.4238191688 -2.2919636475  1.1037747697
## [4006]  0.1798521840  0.3807769188  1.4083634199 -1.3038997041  0.9367422841
## [4011]  1.4017395276 -1.0093572906 -1.1725258390  1.4789078735 -0.1647006168
## [4016]  1.2108610295  0.7549164388 -0.0017528648 -0.0204101616 -0.4738155935
## [4021] -0.0315603804 -1.3541308878  0.7636378971 -0.1000072681  1.3399165322
## [4026]  1.0088323125  0.3206098966 -1.5981109230  0.3592492687  0.4111364255
## [4031] -0.1687853504  0.8861799057 -0.8323889665 -0.7031126673  0.7615403312
## [4036]  1.1413101597  0.6535708858 -0.4053687058 -0.1825851262  0.6733321646
## [4041]  0.0313665970 -0.0421586082 -0.1885466293 -1.8383374192  0.4240530156
## [4046] -0.2937561196 -0.1934041504  0.4167667340 -1.1607132310 -0.8680475870
## [4051] -0.2488240498 -0.2069831297  0.4784793311  1.4228255849  1.8404619980
## [4056] -1.7734232741 -0.1715453056  1.0874358352 -1.2687930746 -2.1425948748
## [4061]  0.9364110894 -0.0335475481 -1.0235986592 -0.1007800556  0.2530461945
## [4066] -0.6760651068 -0.3113094343 -2.4379100757 -0.0655630279  0.2839576922
## [4071]  0.6282896966  0.4743945975 -0.2170293664  0.3165251630 -1.7014436438
## [4076] -0.0387362638  1.6479275269  0.3906023592  0.4793625168  1.2859318095
## [4081]  1.0844550836 -0.6504527230  0.1732282916 -0.7978343280 -1.2098404326
## [4086] -1.3175890817  0.2173875740  0.2513902215  0.1614156836  1.6261790803
## [4091] -1.1039685531 -1.8370126407  0.6533500894  2.4902658383  1.3080114507
## [4096]  0.4623611930  0.3617884274 -1.0150979973 -0.5018567378  0.6530188947
## [4101]  0.0918648138  0.0505758848 -1.7776184059  0.3225970643  1.5843381602
## [4106] -2.1034035117 -0.1433937631 -0.7350177488 -0.1833579136 -0.9231362918
## [4111] -0.3540335400  0.4095908506 -0.9828617212  1.4458988099  0.5781689111
## [4116]  0.6869111440  0.7014837072 -0.4433456887  1.7645080323 -0.3476304441
## [4121] -1.4126419370  2.3315132182  1.0105986838  0.3720554606 -0.1735324733
## [4126]  0.7341615761  0.5247361794 -1.0964614751 -0.4795563002 -0.0463537400
## [4131]  1.1094050782 -0.5549582749 -0.2654941789  0.9672121889 -1.0579325012
## [4136] -0.1355554904  0.6369007567  1.1715592681  1.1184577311  0.9991172704
## [4141]  1.6216527538  1.4364045642 -0.5790250838  0.1652796208  0.1123988801
## [4146]  0.3288897620 -0.1524464160  0.3254674176  1.1139314046 -0.1291523945
## [4151] -0.5937080452  1.2506043836  2.3403450746  1.2445324823 -1.9128562082
## [4156]  0.0044294347 -0.2906649698 -0.9605612836 -1.8714568810 -1.5007397053
## [4161]  0.6675914579  1.4211696118 -0.8730155063  0.3487614391 -0.1939561414
## [4166]  1.7222255195 -0.7947431782  0.4310081025  0.4471262406  1.2294079281
## [4171] -1.1622588059 -1.5563804012  0.0206579710 -1.6656746251  1.3209280408
## [4176]  0.0432896032  1.0378670407 -0.5332098283  1.2266479729  0.9240464904
## [4181] -0.6110405635 -0.4880569621 -0.1298147837 -0.0995656753 -1.7701113279
## [4186]  0.7500589178  0.2182707597  0.3318705136 -0.4475408205  0.4962534423
## [4191] -1.2450574603  0.2696059254  1.0333407143 -0.2721180712 -0.8574493592
## [4196]  1.2854902167 -0.5017463396  0.3415855557  1.2079906761 -2.3526826607
## [4201] -1.5403726613  1.8654119926 -0.6089429976  1.8267726205  1.1362318422
## [4206] -0.7336929703 -0.0754988664  0.8128754970 -1.1766105726 -1.4574636086
## [4211]  1.3807638684 -0.1672397756 -0.5353073942 -1.1321200956  1.6461611556
## [4216]  1.7995042636  0.9998900579 -1.6653434304 -1.5758104854  0.4878631786
## [4221]  0.2813081353  1.5436012222 -0.5817850389  0.4761609688 -0.8092053432
## [4226] -0.0085975536 -0.4971096150  0.1793001930  0.3740426283 -0.0661150189
## [4231]  0.7542540496 -0.7366737219  1.3994211652  0.8107779311  0.8984341066
## [4236] -1.9376958045  0.7248881268 -0.2335890973  1.4226047885 -2.1653369052
## [4241]  1.1473820610  0.3708410803 -0.0223973293  0.1491614827  0.4569516809
## [4246]  0.5429518834  1.4169744800 -1.0787977622 -1.6918389999 -0.7017878888
## [4251]  0.0164628392  0.7986341284  0.4890775589  0.5960534205  0.0606221216
## [4256] -1.5996564979  0.1510382522 -0.7633900877  1.9336380839  0.2063477534
## [4261] -0.7311538116  1.4763687148 -0.0969161184 -1.8229920685 -1.1594988507
## [4266] -1.2637147572 -0.9275522200  1.0325679268  0.2995238392  1.3774519222
## [4271] -0.5864217636  0.4342096505  1.0391918192  1.2968612319  0.5393087426
## [4276]  1.1020083984  0.4827848611 -0.6567454208 -0.9124276658  0.7162770667
## [4281]  1.0733048648  1.0531019931  0.1621884710 -0.4108886161 -0.5051686840
## [4286] -1.2100612291  1.0288143878 -1.8405453833  1.2196928859  0.0061958060
## [4291] -0.3840618521 -0.7311538116 -0.0964745255 -0.6210868003 -0.1314707568
## [4296] -0.8916728031 -0.4834202374 -0.5962472039  0.7363695402  0.5800456806
## [4301] -0.3746780046 -0.3449808871 -1.4490733450  1.1165809616 -1.2034373367
## [4306]  0.9688681620 -1.1502254014  0.9034020259  0.1983990826  0.6095220016
## [4311] -1.4004981343  1.0769480056 -0.6680060378 -0.0443665723  0.6771961018
## [4316] -1.2361152057  1.0680057509  0.0677980049  0.7903542629  0.4790313221
## [4321] -0.8905688210  1.0218593008  0.4108052309  1.3913620962  1.3000627799
## [4326]  0.8018356764  0.6080868249  0.1929895705  0.2605532725  0.0526734507
## [4331] -0.4086806520 -0.6190996325 -0.4139797659 -1.2942950602 -0.0858762978
## [4336]  0.8949013640 -0.5318850498 -0.0496656862 -0.7388816860  2.3957649740
## [4341]  1.1862422295 -0.9052517824 -0.7565453990 -0.6792666548 -0.4275587452
## [4346] -0.0856555013 -1.1349904490  3.3823937407  0.8511836744  1.5575113962
## [4351] -0.5769275179 -0.0631342673 -0.4519567487 -2.0794471010 -0.5998903447
## [4356]  0.6545644696 -1.7642602230  0.9247088796  0.8730425192 -0.9145252317
## [4361]  0.8575867704 -1.2212114479  0.9520876347  1.2239984160  0.4020837726
## [4366]  0.8767960582 -0.1475888949  1.5582841836  0.2179395650  1.5020914968
## [4371] -0.3767755705 -2.2385309158 -0.1281588106  1.1797287354  1.2976340193
## [4376]  1.1652665704  0.9058307864 -2.1503227492 -2.7572920856 -0.2885674039
## [4381] -0.7704555729  0.9456845387 -1.4910246632  0.5350032126 -1.1831240668
## [4386] -1.6587195381  0.3407023701  0.9120130859 -0.4761339558  0.4135651860
## [4391]  0.9612506858 -1.6522060439 -0.8047894150  1.3719320119 -0.6432768397
## [4396]  0.7273168873  1.6880020756  0.2296417749 -0.5484447807  0.7655146666
## [4401]  0.6448494275  0.9768168328  0.5644795336  0.6584284068  1.2614234078
## [4406] -1.4025957002 -0.4122133946  1.2158289487  1.4370669535  0.4359760218
## [4411] -0.8566765718 -1.8684761294  0.7314016210  0.7070036174 -0.3591118575
## [4416] -0.3688268996  0.2786585783 -1.3544620825 -0.8755546650 -0.9405792083
## [4421] -0.8945431564 -0.5611405744 -0.8307329934  1.1076387069 -1.1568492938
## [4426] -0.9651980082  0.4947078674 -0.7476031443 -0.5982343716 -1.8350254730
## [4431] -0.9179475761  0.5599532071 -0.5643421224  0.8872838878 -1.5802264136
## [4436]  0.1544605966 -1.6570635650  0.8056996136  0.2662939793  1.3743607725
## [4441] -0.0250468863  1.4721735830 -0.8067765827  0.6988341502 -0.0071623769
## [4446] -1.1895271627  1.3627689609  0.3731594426  1.2875877826 -0.6411792737
## [4451] -0.3225700513  0.2350512870  1.0676745563 -0.1856762759  0.9711865243
## [4456] -0.2703516999 -1.2218738371 -1.0217218897 -1.3584364179  1.0395230138
## [4461]  0.5199890566  1.0304703609  0.1565581625 -0.7255235031  1.0964884881
## [4466]  1.5534266625  0.9960261207 -1.3178098781  0.2098804960  1.4010771383
## [4471]  0.5677914797 -0.3105366469 -0.9061349680  0.7603259509 -1.3011397490
## [4476]  0.2119780619 -1.2753065688  0.9717385153  0.1743322737 -0.7975031334
## [4481]  0.2959910967  1.1891125829  1.7778662153  1.5288078626 -0.6335617975
## [4486] -0.0764924503  0.1632924531 -0.3151733715 -0.7168020448  1.3208176426
## [4491] -1.2330240559  0.3756986014 -0.8216803405  0.4901815409  0.2563581407
## [4496] -0.8495006884  0.3304353369  1.0622650442 -1.2944054584  1.3598986075
## [4501]  1.1296079499 -0.0559583839  0.5550956860  1.0059619592 -0.7472719497
## [4506] -0.1626030509 -0.7524606653 -0.9266690344 -1.2071908757 -0.7115029309
## [4511] -0.2129446328 -0.7043270475 -0.7916520285  0.6904438866  0.1199059582
## [4516]  0.7811912119  1.9155327781  0.0046502311 -0.1677917666 -0.7591949559
## [4521]  1.7288494118 -0.6434976361  1.1211072880  0.3070309173  0.3984406318
## [4526]  1.7649496252 -0.2081975100  0.7714761697 -0.8146148553 -1.3024645274
## [4531]  1.0988068504 -1.3663850887 -0.5751611466  1.0417309779  0.5302560897
## [4536]  0.1460703330 -1.3519229237 -0.7655980519  0.6406542957 -0.5747195538
## [4541]  0.0719931368  0.6559996463  0.1764298396 -0.7702347765  0.8601259291
## [4546] -1.3862567658  0.0654796426 -1.4338383925 -0.6901960772  1.0890918083
## [4551]  0.1561165697  1.0289247860 -0.8359217091  0.0067477970 -0.5019671360
## [4556]  0.3494238283  0.9958053242 -1.7350046984  0.4761609688 -0.6729739571
## [4561]  1.2546891172 -2.2006643311 -0.9343969088  0.5510109524  0.5446078565
## [4566]  1.2674953091  0.8522876565  0.9507628562 -2.0186176895  0.4749465885
## [4571]  0.9053891936 -1.2662539159  1.7491626817  0.4419375249 -1.6806887811
## [4576]  1.0709865025  0.8570347793 -1.9258831965  0.5865591747 -1.1536477458
## [4581] -1.3706906187 -0.1277172178 -1.0095780870 -0.5438080561  1.4993315416
## [4586]  0.2935623361 -0.2821643080 -0.5894025151 -1.3725673882 -0.7304914224
## [4591] -0.8111925109 -0.5251507593  1.1713384717 -1.0931495289  0.9508732544
## [4596]  1.2987380014  1.8369292555 -0.0757196628 -0.2650525860 -2.7905219456
## [4601] -1.2118276003 -0.0126822872 -1.6497772834  0.4178707160 -0.9615548674
## [4606] -0.1223077057  0.0206579710  1.4201760280 -0.1175605829  0.1630716567
## [4611] -0.2774171851 -0.0561791804  0.5730905936  0.9379566643 -0.4474304223
## [4616]  0.6164770886 -0.5079286391 -0.6252819321 -1.5551660209  0.4636859715
## [4621] -0.8415520176 -0.3290835455  1.3135313610  2.0817924763 -0.6301394531
## [4626] -1.4265521109  1.1009044163  0.4166563358 -0.7483759317  0.4608156182
## [4631]  0.7660666576  0.3036085729  1.1332510907  0.2927895487  0.4111364255
## [4636] -0.2948601016 -0.6447120163  0.2403504009 -0.5696412363  1.7849317004
## [4641]  0.3880632004  0.0111637253  0.1439727671 -0.7516878779 -1.0171955632
## [4646] -0.0705309471  0.2512798232  1.9044929575 -0.6777210799 -0.2935353232
## [4651]  1.4742711489 -1.3968549935  0.5042021131 -1.0191827309 -1.2531165294
## [4656]  1.9528473717  0.0478159297 -0.3935560978  0.1582141356 -1.2275041456
## [4661]  1.3721528084  1.3824198415 -0.8122964930  0.2678395541  0.5830264322
## [4666] -0.2589806847 -0.2546751547  1.3420140981  1.0933973383 -0.5422624812
## [4671] -1.1907415430  0.9392814428  1.1785143551  0.1632924531 -0.4967784203
## [4676]  0.8319743866  0.6391087208  1.0423933672 -0.2575455080 -1.5472173501
## [4681]  0.9244880832  0.8079075777  1.9604648479 -1.3362463785  0.6208930168
## [4686]  0.8655354412 -0.5855385779 -1.6103651239 -0.2967368711  1.0377566425
## [4691]  1.0171121780  1.8829653073 -0.0465745364  1.4500939418  0.4477886299
## [4696] -2.1361917789  1.1950740860 -0.1832475154  0.7369215313 -2.2225231759
## [4701]  0.6622923440  0.2541501766 -0.0626926745 -0.5102470015 -0.0813499713
## [4706]  1.3171745018  1.2291871316 -0.1826955244 -0.6014359196 -0.8888024497
## [4711] -0.7434080125 -0.0080455626 -0.8232259154  0.8954533550 -0.1488032752
## [4716]  0.8256816889 -0.3769963669 -1.2524541401  0.5597324107 -0.0143382603
## [4721]  1.2199136823  0.0421856212  0.3128820222 -1.1789289350 -0.6017671142
## [4726]  1.0836822962  1.8446571299  0.5828056357 -1.4869399296 -0.7852489325
## [4731] -1.6198593696  2.1015537551  0.6030085074  0.1604220997  1.7234398997
## [4736]  1.3845174074 -1.0049413624 -0.3620926091  0.5650315246 -1.7730920795
## [4741]  0.4405023483  0.9138898554  0.9539644042 -0.6866633346  0.2312977480
## [4746] -0.3705932709  0.3834264758 -0.5684268560  1.1906581578 -0.2696893107
## [4751]  1.2162705415 -1.9945508806 -0.3927833103  1.7998354583 -1.4390271082
## [4756]  1.4929284457 -0.1003384627  0.0070789917  0.7576763940  1.2743399979
## [4761]  0.0128196984 -0.7310434134 -0.4546063057 -1.4104339729 -1.3868087568
## [4766]  0.9944805458  0.6125027531 -0.0653422315 -0.1408546043 -2.1485563779
## [4771]  1.5012083111 -1.3275249202 -0.2730012569 -0.2958536855 -0.7044374458
## [4776] -1.1447054911  1.4488795615  1.2161601433  1.0266064237 -1.5307680174
## [4781]  0.1827225373  0.1497134738  0.3128820222  0.0528942471  0.0786170291
## [4786] -1.3815096429  0.4485614173  0.3256882141 -0.3323954917 -0.7982759208
## [4791]  0.2644172098 -1.1513293835  1.7129520702 -0.8485071045  1.2054515174
## [4796] -0.0666670099  1.7174783966  1.7011394621 -0.4239156044  0.0140340786
## [4801]  0.6650522992  1.3215904300 -0.4570350662 -1.0029541947  1.3841862128
## [4806]  1.3529435205  0.0841369394 -0.2601950650  0.5432830780 -0.6787146638
## [4811] -0.4181748977  0.2138548314 -1.4173890598  0.5067412718  1.1848070528
## [4816]  0.0567581843  0.8644314591 -0.5984551680  0.3974470479 -0.0324435661
## [4821]  0.2655211918 -0.0324435661 -0.3400129679 -0.5107989925  0.8016148800
## [4826] -0.5258131485  0.1287378146 -1.8163681762 -0.7635004859 -1.0237090574
## [4831]  0.4921687086 -1.3019125364 -0.9230258936 -1.2538893168  0.8749192887
## [4836]  1.1108402549 -0.6004423357  0.4069412936 -1.3886855263  0.4219554497
## [4841] -0.5175332831 -1.9881477847 -0.9818681373 -0.9134212496 -0.7428560214
## [4846] -0.3825162772  1.7384540557  0.3136548096 -0.4104470233  0.5000069813
## [4851] -0.5583806193 -2.5332941257  0.0900984425  0.0918648138  0.5942870492
## [4856] -0.8600989162  1.2260959819  0.2779961891 -0.2880154129 -0.4283315326
## [4861] -0.3259923957  0.6685850418  0.9078179541  0.6838199942  0.9016356546
## [4866] -1.0487694501  0.3104532616 -1.5128835080  1.3460988318 -0.8188099871
## [4871]  0.7447598039  0.5978197918  1.6677992039 -0.1164566008 -1.3996149487
## [4876]  0.5682330726 -0.3236740334  0.0438415942 -0.4633277639  0.7914582450
## [4881] -2.1507643420  0.9545163952  1.2580010634 -0.5393921278  0.0696747744
## [4886]  0.7686058164  1.7079841509  1.0327887232  0.6117299657 -1.5520748711
## [4891]  1.3423452928 -0.9740298647 -0.3074454971  1.4493211543  0.9291248078
## [4896] -1.0446847165 -0.3932249032  0.0233075279 -0.0098119339  0.6153731065
## [4901]  1.1607402439  1.3079010525 -1.0408207793  0.8045956315 -2.3042178483
## [4906] -0.1357762869 -0.5243779718  0.5183330835 -0.7005735085 -1.2734297993
## [4911]  1.2923349055 -0.3245572190  0.2326225264  1.1214384826 -0.9130900550
## [4916]  1.6679096021  0.9811223628 -0.3691580943  0.4393983662  0.7105363600
## [4921]  1.7206799446  1.3374877717  0.6394399154 -1.6592715291 -0.3890297713
## [4926] -1.1294705387 -0.3235636352 -0.4135381730  0.2222450951  0.1220035241
## [4931]  1.1310431265  0.4282481474  0.4327744738  0.0757466758  1.3887125393
## [4936] -0.0549648001 -1.0003046377  1.2605402221 -1.3748857506  0.0585245556
## [4941] -0.0421586082  0.5853447945 -0.4312018860  1.0718696881 -0.3088806738
## [4946]  0.6137171334 -1.7336799199  0.7872631132  0.7553580317  0.4958118494
## [4951] -0.0097015356 -2.2598377695 -1.2639355536  1.1989380232 -1.0620172349
## [4956]  1.2631897791  0.5048645023 -0.4840826267 -1.2836968324  1.9733814380
## [4961] -0.4801082912  1.3150769359  0.9363006912  0.3083556957  0.4628027859
## [4966] -0.7476031443  2.9900385167 -0.2809499277 -1.0502046268 -0.5963576021
## [4971]  0.7007109197  0.9927141745 -2.4203567610  0.4573932738  1.3414621071
## [4976] -1.2578636522 -0.2415377682  1.1013460091  1.0620442478 -1.1095988616
## [4981] -0.0714141328 -0.2755404156 -0.3081078864 -0.9140836389  1.4964611883
## [4986]  1.4932596403  0.0920856102  1.8619896482  1.1094050782 -1.5196177986
## [4991]  0.8254608924 -0.4719388240 -0.9619964603 -0.7541166384 -1.0042789731
## [4996]  0.8238049194 -1.5081363851 -0.3842826485 -0.5801290658 -0.5131173548
## [5001]  0.5478094045  0.7682746218  0.8077971795  0.6147107173 -0.1136966457
## [5006]  1.2032435532 -2.0179553003 -0.3427729230  0.0334641629 -1.4725881628
## [5011] -0.1791627818 -1.5782392459  1.0240672650 -0.1458225236  0.2997446357
## [5016]  1.4136625338  0.0038774437  0.9764856382  0.9687577638 -1.7152434195
## [5021]  0.7821847957 -0.4517359523  0.6318224392 -1.5083571816 -0.9251234595
## [5026]  0.3793417422 -0.4231428170 -0.1261716429 -1.0007462306  1.2638521683
## [5031]  0.4907335320  0.5618299766  1.2076594815 -0.5382881458  0.3150899863
## [5036]  0.3371696275 -0.9168435940  1.4238191688 -1.7355566894  1.0851174729
## [5041]  1.2888021629 -1.2435118855  0.1310561770 -1.4650810848 -0.5508735413
## [5046]  0.4945974692 -0.4708348419  0.6798456588 -1.0827720976 -0.3613198216
## [5051]  0.4736218100 -0.0794732018  0.3252466212 -0.7718907496 -0.6085014048
## [5056]  1.0585115052  1.6249647000 -0.1739740661 -1.5740441141  0.6494861521
## [5061] -1.7048659882  0.0470431422  0.7920102360  1.7964131139 -1.3096404108
## [5066] -0.8981862972  0.0580829628  0.2174979722 -0.4818746625  0.8691785820
## [5071]  0.7460845824  0.6988341502  0.5818120519 -2.4949859482  1.1570971031
## [5076]  0.8062516046  1.4673160619 -1.1111444365  0.7932246163 -1.0251442341
## [5081]  1.4595881875 -0.2331475045  0.4674395105 -0.9651980082 -0.8118549002
## [5086] -0.3959848583  0.8602363273 -0.0681021866 -2.8472666234 -1.8512540093
## [5091] -0.7647148662 -0.5387297386 -0.9129796568  0.4813496845 -0.1730908805
## [5096] -1.7690073458 -0.9287666003  0.6539020804  0.4823432683 -0.0246052935
## [5101] -0.9199347438 -0.0052856074 -2.1102482005  0.8916998160  0.2694955272
## [5106] -2.2327902091 -1.1587260633  1.1086322907 -0.0509904647  0.7216865788
## [5111]  1.3859525841  0.7551372352  1.2724632284 -1.5832071652  1.2267583711
## [5116] -0.6809226279  0.4556269025  1.1684681184  0.3854136435 -0.9453263312
## [5121]  0.9709657279  0.5780585129 -0.3217972639 -0.2955224909  0.0013382849
## [5126] -0.7553310187 -0.7395440753  0.8692889802 -1.0096884852 -0.3326162881
## [5131] -0.5728427843 -2.3573193854  0.1898984207  0.8688473874 -0.4174021103
## [5136]  0.5451598475 -1.2864567876  0.1874696602 -0.8012566724 -1.6193073786
## [5141]  1.1238672432 -1.3005877579  0.9126754752 -1.0949159002 -2.0613417952
## [5146] -0.8384608678 -0.9292081931 -1.1069493047  0.5000069813  0.1557853751
## [5151]  0.0936311851  1.4530746933 -0.1110470887  1.1190097221  1.1928661219
## [5156]  0.1479471025 -0.2539023672 -0.2129446328 -1.0276833928  1.2304015119
## [5161] -1.3097508090 -0.0907338188 -0.1001176663 -0.3737948189 -0.5270275288
## [5166] -0.0676605938 -0.7109509399 -1.3168162942  0.3249154266  0.1205683474
## [5171]  0.3998758085  1.3306430829  1.3604505985 -0.3748988010  1.2370254043
## [5176] -0.3038023563  0.0164628392  0.9824471413 -1.2747545777  1.0516668165
## [5181]  0.0819289753  0.7709241787 -0.4039335291  1.7508186548  0.0374384983
## [5186] -1.5017332892  1.0174433726 -1.0323201175 -1.0021814072 -0.5125653638
## [5191]  0.1849305015  0.5363279910  0.3482094481  0.2469742932 -0.4368321945
## [5196] -1.2608444038  0.7061204318 -1.8755416146 -0.6308018424  0.8155250539
## [5201]  0.9069347684 -0.4363906017 -1.2303744990  0.2266610233 -0.8628588713
## [5206]  1.2259855837  1.1354590548  0.5188850745  0.7323952048  0.7192578183
## [5211]  0.0144756715  0.1609740908 -0.3274275724  1.2370254043 -1.2427390980
## [5216] -1.1346592544 -0.5860905690  0.0637132713  0.4084868685 -0.7109509399
## [5221] -0.4834202374  1.4340862019 -1.7454925280  0.0564269897  0.6943078238
## [5226]  0.4631339805 -0.6872153256 -1.3232193902 -0.1970472912  0.5566412609
## [5231] -1.2772937365  0.3662043556  1.4698552206  0.5766233362  1.0593946909
## [5236]  0.8425726144 -0.2075351207 -0.1961641055 -1.2952886441 -1.0963510769
## [5241] -0.0153318442 -0.5364113763 -1.2747545777  1.3774519222  0.2409023919
## [5246] -0.8619756857 -0.8468511314 -0.4814330697 -0.1006696574 -0.6075078209
## [5251]  1.3245711816 -1.2333552505 -0.9257858487 -0.0066103859  0.7891398827
## [5256] -0.5655565027  0.9089219362 -0.1451601344  1.3413517089 -0.2541231636
## [5261]  1.2384605809  1.3382605591  0.2658523864  0.1629612585  1.4118961625
## [5266]  0.8405854467 -0.7502527012 -0.3423313302  0.1212307366 -0.5419312866
## [5271]  0.1778650163 -1.3772041129 -0.6515567051 -0.2705724963 -0.0115783051
## [5276] -0.2866906344 -1.4826343996 -0.0296836109 -0.2690269214 -1.6964757245
## [5281]  0.2239010682  0.1574413482 -1.4000565415  1.0461469062 -0.1314707568
## [5286]  1.3787767007  0.1292898057 -2.1686488514  0.8951221604  0.9727320992
## [5291] -1.7387582374  1.1620650224 -0.9114340819 -0.2869114308 -0.6738571427
## [5296]  0.4982406100 -0.2270756032  0.0076309827 -0.9586845141  0.6704618113
## [5301] -0.2434145377  0.3577036938 -1.1730778301  0.6191266455  1.1623962170
## [5306]  0.5595116143  0.5149107391 -0.7854697289  0.4499965940 -0.3091014702
## [5311]  0.3111156509  0.4282481474  1.0781623859 -0.1822539316 -0.6284834801
## [5316]  0.9310015773  0.3297729477 -0.3469680549 -1.5572635868 -0.7488175246
## [5321] -0.9244610702  0.8169602306  0.3829848830 -0.2101846777 -1.0672059505
## [5326] -0.4586910393 -1.9051283338  1.9198383081 -0.2377842292 -0.0758300610
## [5331]  1.5081633981  1.4954676044  0.4504381868  0.7029188838  0.6701306167
## [5336] -0.5806810569 -0.8127380858  0.4338784559  1.0852278711 -1.5200593914
## [5341] -0.6643628970  0.2584557066  1.0925141527 -0.7109509399 -0.1061895677
## [5346] -0.1740844643 -1.6772664367 -1.5214945681  0.3841992632 -0.7713387586
## [5351] -0.8369152929 -0.1388674366 -0.8726843116 -0.7600781416 -1.1740714139
## [5356] -0.3350450486  0.6130547442 -2.1934884478 -0.0323331679 -0.0664462135
## [5361]  0.9223905173  1.0234048757  0.3166355612 -1.4093299908 -0.0689853722
## [5366]  0.7466365734  0.3290001602  0.3508590050 -0.7148148771  1.0186577529
## [5371]  1.5543098482  1.4808950412  0.1645068334  0.1416544047 -0.2523567923
## [5376]  0.6206722204  0.6905542848 -0.2350242740 -1.2560972809  1.1080802997
## [5381]  0.6854759673 -0.1394194276  0.4186435035 -0.2799563438  0.0860137089
## [5386]  0.7072244139 -0.5530815054 -1.1486798265 -0.0449185633  0.4066100990
## [5391]  1.6037682445 -0.3414481446 -1.0241506502 -1.0184099435 -0.7482655335
## [5396]  0.9438077692 -0.3864906126  1.1077491051 -1.2913143086 -0.2686957268
## [5401]  1.0147938157  0.9919413870 -0.0131238800 -0.3859386216  0.3040501657
## [5406]  0.3643275861 -0.0567311714 -0.4925832885 -1.7122626680  0.0523422561
## [5411]  0.8392606682 -0.9821993320  0.2086661157 -1.6218465373  1.1810535138
## [5416] -0.3217972639  1.2295183263 -0.0949289506  0.5894295281 -1.1625900005
## [5421] -1.0648875882  1.0830199070 -1.1178787271  0.0131508930 -1.4219153863
## [5426]  0.9833303270 -1.1596092489  0.1331537429  1.6188927987  2.0998977821
## [5431]  0.5064100772 -0.9194931510 -2.0597962203  0.7620923222 -0.5569454426
## [5436]  0.5501277668 -1.4253377307  1.2099778438  1.5184304313  0.9516460419
## [5441]  0.0366657109 -0.8296290113 -0.2336994955 -0.7447327909 -0.4153045443
## [5446] -1.1445950929  0.5326848502  1.0282623968  0.8262336799  1.3561450685
## [5451]  0.9705241351  0.7438766182  1.2022499694  0.5580764376  0.9022980438
## [5456]  0.3897191735 -0.1189957595  1.3989795724  0.2926791505 -1.9602170386
## [5461]  0.1797417858  0.3320913100  1.1012356109  1.4261375311 -1.6350943220
## [5466] -0.2976200568 -2.3792886284  0.5490237847  0.1205683474  0.0452767709
## [5471] -0.8968615187 -0.6624861275 -1.8129458318  0.4607052200 -1.0397167973
## [5476]  1.3221424211 -1.3713530080  1.3817574523 -0.8703659493 -0.7615133182
## [5481] -1.2973862100  0.9965781117  0.9938181565  0.6153731065  0.9744984705
## [5486]  0.6134963370 -1.5673098235 -1.9824070780 -0.5592638049 -0.9741402629
## [5491] -1.1555245153 -0.9925767633  1.6266206731  0.3790105475  1.2034643497
## [5496] -0.5178644777  1.1430765310  1.5515498930  1.2054515174 -0.2511424121
## [5501]  0.1932103669  1.0717592899  0.6731113682 -1.2889959463  1.6439531914
## [5506]  0.0945143708 -0.5862009672 -1.1045205442 -1.4328448087  1.7553449812
## [5511]  0.4306769079  0.7265440999  0.9162082177  1.0210865134  1.0155666031
## [5516]  0.5377631677 -1.4889270973 -0.8678267906  0.3087972885 -1.3459614206
## [5521]  1.0343342981 -0.0688749740  0.4403919501 -0.3171605392  1.6475963322
## [5526]  0.9032916276 -0.0802459893 -2.2536554700  1.5038578681  0.6484925683
## [5531]  1.2659497342 -1.2381023734 -0.3754507920  0.0718827386  0.8181746109
## [5536]  0.5559788717 -1.7484732795  0.6232113791  0.5125923768  0.0387632768
## [5541]  0.1706891329  0.8787832259  0.3532877656  0.7467469716 -0.1373218617
## [5546] -1.3011397490 -0.6075078209  0.5261713561 -0.1618302635 -0.1709933146
## [5551] -0.9287666003 -0.8699243565  1.0758440236  0.3431311306 -1.0428079470
## [5556] -0.2979512514 -0.0892986421 -0.5414896938 -0.5964680003 -1.2333552505
## [5561] -0.3291939437 -0.1884362311  1.0550891608  0.6784104821 -1.1761689798
## [5566]  0.1483886953 -1.1292497423 -0.6232947644 -1.5886166773  0.6242049630
## [5571]  1.4684200440 -0.4641005514 -0.6784938674 -0.3708140673 -0.1246260681
## [5576] -0.5671020775 -0.6436080343  0.2983094590  0.9028500348  1.1247504288
## [5581] -0.6931768287  1.2422141199  0.3149795881  1.1568763067 -0.2461744928
## [5586] -1.9420013346  1.4239295670 -0.4551582967  0.4189746981 -0.8793082040
## [5591] -0.3799771184  0.5384255569  1.1383294081 -0.9382608460 -0.2636174094
## [5596]  0.1602013033 -0.2370114417  1.3536059098  0.8883878698

Computing z scores for variable

計算ESCS此變項的Z分數，使用R套件函數scale

scale(pisa.dat$ESCS, center = TRUE, scale = TRUE) 

##                  [,1]
##    [1,] -0.0573935606
##    [2,]  0.4709722531
##    [3,] -0.3352658450
##    [4,] -0.6047478658
##    [5,]  0.8624442914
##    [6,]  0.6151523101
##    [7,] -2.1639017286
##    [8,]  0.6954118058
##    [9,]  1.0383086335
##   [10,]  0.1472847132
##   [11,]  0.8127650988
##   [12,] -0.1348931012
##   [13,] -1.7352254948
##   [14,]  0.9550683862
##   [15,]  1.0226320883
##   [16,] -0.7140420897
##   [17,] -0.4548271021
##   [18,]  0.9465677244
##   [19,]  1.2829510579
##   [20,] -1.0228258717
##   [21,] -0.1688957486
##   [22,] -0.2646109932
##   [23,] -0.0664462135
##   [24,]  0.0471535404
##   [25,] -1.1206386822
##   [26,] -1.7595131001
##   [27,]  0.6875735332
##   [28,] -0.3024775779
##   [29,]  0.4083764703
##   [30,]  0.7656250648
##   [31,] -0.3574558844
##   [32,] -0.7472719497
##   [33,] -0.3785419418
##   [34,]  1.6934115877
##   [35,] -0.8146148553
##   [36,]  1.6475963322
##   [37,] -1.4248961379
##   [38,] -0.8970823152
##   [39,]  0.5351136108
##   [40,]  0.7570140047
##   [41,]  0.8759128726
##   [42,]  0.1381216621
##   [43,]  0.6119507621
##   [44,]  0.6596427871
##   [45,]  1.6007874929
##   [46,] -0.9213699205
##   [47,] -1.1790393332
##   [48,]  0.9663290033
##   [49,]  0.1710203275
##   [50,]  1.2770999530
##   [51,] -0.3709244655
##   [52,]  0.1879112530
##   [53,]  0.8637690699
##   [54,]  0.1521422343
##   [55,]  0.7852759455
##   [56,] -1.2753065688
##   [57,] -0.8796393986
##   [58,]  1.0729736702
##   [59,] -1.0266898090
##   [60,]  1.8016018295
##   [61,]  1.3545994936
##   [62,] -0.7903272500
##   [63,] -0.1676813684
##   [64,]  1.0486860649
##   [65,]  1.1399853812
##   [66,] -0.9465407114
##   [67,]  1.2130689936
##   [68,]  1.4811158376
##   [69,] -0.4912585100
##   [70,]  0.4785897293
##   [71,]  1.2228944339
##   [72,] -0.5208452292
##   [73,] -0.4972200132
##   [74,] -0.7596365487
##   [75,]  1.3932388657
##   [76,]  0.0687915888
##   [77,]  1.0736360594
##   [78,]  1.5929492203
##   [79,] -0.7622861057
##   [80,]  0.0250738992
##   [81,] -1.3528061094
##   [82,] -2.0623353791
##   [83,]  0.5247361794
##   [84,] -1.7934053493
##   [85,] -0.8741194883
##   [86,]  0.0969431313
##   [87,] -0.2902233770
##   [88,] -1.7008916528
##   [89,] -0.7532334528
##   [90,] -0.4856282015
##   [91,] -0.1696685361
##   [92,]  0.9948117404
##   [93,]  0.2675083595
##   [94,] -0.3891401695
##   [95,] -1.3563388520
##   [96,] -1.4097715836
##   [97,] -0.1897610096
##   [98,] -1.0222738807
##   [99,]  0.1529150217
##  [100,]  0.6928726471
##  [101,] -1.5971173392
##  [102,]  0.9801287790
##  [103,]  0.3314289208
##  [104,]  0.1156004281
##  [105,]  0.6599739817
##  [106,]  0.3628924095
##  [107,] -0.3147317787
##  [108,] -1.1972550372
##  [109,] -0.0494448898
##  [110,]  1.2466300482
##  [111,]  1.4712903973
##  [112,] -0.0440353777
##  [113,]  0.3981094372
##  [114,]  0.8526188511
##  [115,] -0.2068727315
##  [116,] -1.3112963839
##  [117,] -0.9711595114
##  [118,] -1.3778665021
##  [119,]  1.6728775214
##  [120,] -0.3194789016
##  [121,]  1.3721528084
##  [122,]  0.7765544872
##  [123,] -0.9827513230
##  [124,] -0.4068038825
##  [125,] -0.5110197889
##  [126,] -1.1697658839
##  [127,] -1.0383920188
##  [128,] -0.0141174639
##  [129,] -0.6540958638
##  [130,]  0.8639898663
##  [131,] -1.2594092271
##  [132,] -0.1385362420
##  [133,] -1.7785015915
##  [134,]  0.6657146884
##  [135,]  0.5261713561
##  [136,]  0.8148626647
##  [137,]  0.4874215858
##  [138,]  1.5948259898
##  [139,]  0.7275376838
##  [140,]  0.6860279583
##  [141,] -0.1936249468
##  [142,] -0.1469265057
##  [143,] -0.6105989707
##  [144,] -0.6135797223
##  [145,] -0.2658253735
##  [146,]  1.4472235884
##  [147,]  0.4176499196
##  [148,]  0.8935765855
##  [149,] -1.8207841044
##  [150,]  0.3472158642
##  [151,]  1.3874981590
##  [152,] -1.0726154626
##  [153,] -1.7465965100
##  [154,] -0.5187476633
##  [155,] -1.0426975488
##  [156,]  0.0410816391
##  [157,] -0.3204724854
##  [158,] -0.5513151341
##  [159,]  1.4241503634
##  [160,] -1.2408623285
##  [161,]  0.0320289862
##  [162,] -0.0253780809
##  [163,] -0.4982135970
##  [164,]  1.4417036781
##  [165,]  1.1511356000
##  [166,] -1.1965926479
##  [167,] -0.2079767136
##  [168,]  0.5440558655
##  [169,]  1.2237776195
##  [170,] -0.6291458693
##  [171,]  0.0449455763
##  [172,]  0.9732840902
##  [173,]  0.0281650490
##  [174,] -0.5577182300
##  [175,]  0.6908854794
##  [176,]  1.4939220295
##  [177,]  1.2359214222
##  [178,] -1.0758170106
##  [179,]  0.8772376510
##  [180,]  2.2327068238
##  [181,]  0.1886840405
##  [182,]  1.0216385044
##  [183,] -1.4484109557
##  [184,]  0.1322705572
##  [185,] -1.1304641226
##  [186,] -0.7734363245
##  [187,]  0.3838680686
##  [188,] -1.7119314734
##  [189,]  1.1738776305
##  [190,]  1.1054307428
##  [191,] -0.5811226497
##  [192,] -1.1401791647
##  [193,]  1.1214384826
##  [194,]  1.1026707876
##  [195,] -1.0839864778
##  [196,] -0.0326643625
##  [197,] -0.6971511642
##  [198,] -1.4866087350
##  [199,]  1.2711384499
##  [200,]  1.0417309779
##  [201,] -0.6269379052
##  [202,] -0.8186995889
##  [203,]  0.4632443787
##  [204,] -0.1607262814
##  [205,] -2.4338253421
##  [206,]  0.1313873716
##  [207,]  1.2357006258
##  [208,]  0.2096596996
##  [209,] -0.6399648935
##  [210,]  0.2889256115
##  [211,]  1.7513706458
##  [212,] -2.0468796302
##  [213,]  1.2844966328
##  [214,]  1.1584218816
##  [215,]  1.6630520811
##  [216,]  1.2001524035
##  [217,] -0.1155734152
##  [218,] -2.2338941911
##  [219,]  0.5088388377
##  [220,] -0.0682125848
##  [221,]  0.1468431204
##  [222,]  0.7108675547
##  [223,]  1.4888437121
##  [224,]  0.7976405445
##  [225,] -1.1663435395
##  [226,]  1.5388540994
##  [227,] -1.5386062900
##  [228,]  0.3507486068
##  [229,] -0.7699035819
##  [230,] -0.1199893434
##  [231,]  0.9933765637
##  [232,]  0.2505070358
##  [233,] -0.7363425273
##  [234,]  1.2193616913
##  [235,] -0.0746156808
##  [236,] -1.6540828134
##  [237,]  1.2994003906
##  [238,]  0.1997238611
##  [239,] -2.0915909036
##  [240,] -0.5198516454
##  [241,] -0.9654188046
##  [242,]  1.1052099463
##  [243,]  0.5653627192
##  [244,] -0.6298082585
##  [245,]  0.3207202948
##  [246,] -1.3583260197
##  [247,] -0.5388401368
##  [248,]  0.0854617179
##  [249,]  0.9026292384
##  [250,]  0.0983783080
##  [251,] -0.8008150796
##  [252,] -0.5941496380
##  [253,] -0.6773898853
##  [254,] -1.0033957875
##  [255,] -0.1376530564
##  [256,] -0.7717803514
##  [257,] -0.9696139365
##  [258,]  0.1631820549
##  [259,] -0.9903687992
##  [260,]  1.1090738836
##  [261,]  0.7190370219
##  [262,]  0.5672394887
##  [263,]  0.7860487329
##  [264,]  1.6084049691
##  [265,]  0.6939766291
##  [266,]  0.7174914470
##  [267,] -0.7650460608
##  [268,] -2.0962276283
##  [269,] -0.0835579354
##  [270,] -1.1821304829
##  [271,] -0.5366321727
##  [272,] -0.2904441734
##  [273,]  1.0524396039
##  [274,]  0.5385359552
##  [275,] -0.7818265881
##  [276,]  0.9382878589
##  [277,] -1.4944470076
##  [278,] -1.1826824740
##  [279,] -0.7251923085
##  [280,]  0.5464846260
##  [281,]  0.3507486068
##  [282,]  1.1413101597
##  [283,]  0.5720970098
##  [284,] -1.0362944529
##  [285,]  1.2774311476
##  [286,]  1.5067282214
##  [287,] -1.9778807515
##  [288,] -1.3534684986
##  [289,]  1.0094947018
##  [290,] -0.4458848474
##  [291,] -0.2681437358
##  [292,]  1.3136417592
##  [293,]  0.5205410476
##  [294,]  0.1738906809
##  [295,]  0.1971847023
##  [296,] -0.8736778955
##  [297,] -0.2159253844
##  [298,]  0.2785481801
##  [299,]  0.1589869231
##  [300,] -1.6044036207
##  [301,] -1.3082052342
##  [302,] -1.8216672901
##  [303,]  0.8974405227
##  [304,]  1.3016083548
##  [305,]  0.0120469109
##  [306,] -0.3424417284
##  [307,]  1.4280143006
##  [308,] -1.0048309642
##  [309,]  0.8095635508
##  [310,] -0.6606093580
##  [311,]  0.9710761261
##  [312,] -0.9653084064
##  [313,] -1.2965030243
##  [314,]  0.5943974474
##  [315,] -0.8518190507
##  [316,] -1.2377711788
##  [317,] -0.9211491241
##  [318,] -0.3374738091
##  [319,] -0.1862282670
##  [320,] -0.6964887749
##  [321,] -0.8882504587
##  [322,] -1.6166578216
##  [323,]  1.0641418137
##  [324,]  1.0852278711
##  [325,]  0.5932934653
##  [326,]  0.2554749551
##  [327,]  0.8606779201
##  [328,] -0.1170085918
##  [329,]  0.2617676528
##  [330,] -0.4383777694
##  [331,]  0.5313600718
##  [332,]  0.5730905936
##  [333,] -0.3872634000
##  [334,] -0.0382946710
##  [335,]  1.0646938048
##  [336,] -0.7214387695
##  [337,] -0.1204309362
##  [338,] -0.5837722066
##  [339,]  1.9894995761
##  [340,]  1.1476028574
##  [341,]  0.2215827058
##  [342,] -1.7123730662
##  [343,]  4.9426515855
##  [344,]  1.0665705743
##  [345,] -0.1924105665
##  [346,]  0.6341408015
##  [347,] -1.1407311557
##  [348,] -0.6827993974
##  [349,] -1.0729466573
##  [350,] -0.3269859796
##  [351,]  0.9756024526
##  [352,]  0.9314431702
##  [353,]  0.7280896748
##  [354,] -0.1011112502
##  [355,]  0.8710553515
##  [356,] -0.1300355801
##  [357,]  1.0786039787
##  [358,]  0.4816808791
##  [359,]  1.1172433508
##  [360,] -1.2724362154
##  [361,] -0.5060518696
##  [362,]  0.6091908070
##  [363,]  0.0585245556
##  [364,]  0.0637132713
##  [365,] -1.9626457991
##  [366,] -1.5697385841
##  [367,]  0.8713865461
##  [368,] -0.8564557754
##  [369,] -1.3614171694
##  [370,]  0.7205825968
##  [371,] -1.2485902029
##  [372,] -1.3444158457
##  [373,] -1.0306641444
##  [374,]  0.9270272419
##  [375,] -0.5474511969
##  [376,]  1.5517706895
##  [377,]  0.1482782971
##  [378,] -2.0690696696
##  [379,]  0.0314769952
##  [380,] -0.1017736394
##  [381,] -0.2512528103
##  [382,]  2.2044448831
##  [383,]  0.7643002863
##  [384,]  1.5688824114
##  [385,] -0.8915624049
##  [386,]  0.5788313003
##  [387,] -0.0215141437
##  [388,]  0.2146276189
##  [389,] -1.3902311012
##  [390,]  1.4741607507
##  [391,]  0.6445182329
##  [392,] -0.6990279337
##  [393,]  0.1964119149
##  [394,] -0.3826266754
##  [395,]  0.8251296978
##  [396,]  1.6658120362
##  [397,]  1.3240191906
##  [398,]  0.8855175165
##  [399,] -0.4802186894
##  [400,] -0.7260754941
##  [401,]  0.3313185226
##  [402,]  1.3637625447
##  [403,] -0.0501072790
##  [404,] -0.7753130940
##  [405,] -0.4278899398
##  [406,] -0.2419793610
##  [407,]  0.8815431811
##  [408,]  0.5790520967
##  [409,]  1.2278623532
##  [410,] -0.7860217200
##  [411,] -0.1666877845
##  [412,]  0.2422271704
##  [413,]  0.7493965285
##  [414,] -1.1120276222
##  [415,]  1.0322367322
##  [416,]  0.9643418355
##  [417,] -0.1032088161
##  [418,]  1.3485275923
##  [419,]  0.8557100009
##  [420,]  0.7226801627
##  [421,]  0.4200786802
##  [422,] -0.8766586471
##  [423,] -0.7588637613
##  [424,] -1.1466926588
##  [425,] -0.7257442995
##  [426,]  0.1656108154
##  [427,]  1.3263375529
##  [428,]  0.8136482844
##  [429,] -0.9039270039
##  [430,] -0.2076455189
##  [431,]  1.0754024307
##  [432,] -1.0224946771
##  [433,] -0.9533854002
##  [434,]  0.7318432138
##  [435,]  1.4175264710
##  [436,]  1.1827094869
##  [437,] -1.5855255275
##  [438,]  0.8406958449
##  [439,]  0.1655004172
##  [440,] -0.8635212605
##  [441,]  0.0089557612
##  [442,]  0.3418063521
##  [443,] -0.1644798204
##  [444,] -1.4878231153
##  [445,] -1.7885478283
##  [446,] -0.2295043637
##  [447,]  0.6558892481
##  [448,] -0.6490175464
##  [449,]  0.6950806112
##  [450,] -0.6578494028
##  [451,] -0.5077078427
##  [452,] -2.7442650973
##  [453,] -1.3149395247
##  [454,] -1.0559453335
##  [455,] -1.5382750954
##  [456,]  0.5680122761
##  [457,]  0.6507005324
##  [458,] -0.0898506332
##  [459,]  0.2816393299
##  [460,] -0.7352385452
##  [461,]  0.6195682383
##  [462,]  0.1536878092
##  [463,] -1.1758377852
##  [464,] -1.3327136359
##  [465,] -1.5345215564
##  [466,]  1.1294975517
##  [467,]  1.0839030926
##  [468,] -0.0928313847
##  [469,] -1.2339072415
##  [470,] -1.2259585707
##  [471,]  1.0081699233
##  [472,]  0.3462222804
##  [473,]  0.6864695511
##  [474,]  1.0513356218
##  [475,]  0.1894568279
##  [476,]  0.7866007239
##  [477,]  0.3817705027
##  [478,]  0.9889606355
##  [479,]  1.4941428259
##  [480,]  1.1362318422
##  [481,] -1.1661227431
##  [482,]  0.4645691572
##  [483,] -0.0742844861
##  [484,] -0.1904233988
##  [485,] -1.2918662997
##  [486,]  0.0526734507
##  [487,]  0.2434415506
##  [488,] -0.0495552880
##  [489,]  0.6552268589
##  [490,]  1.2204656734
##  [491,]  0.4560684953
##  [492,]  0.2928999469
##  [493,] -0.7136004969
##  [494,]  0.6721177844
##  [495,] -0.6861113436
##  [496,]  0.4910647266
##  [497,] -1.5609067276
##  [498,]  0.0033254527
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## attr(,"scaled:center")
## [1] -0.2701122
## attr(,"scaled:scale")
## [1] 0.9058118

列出ESCS-Z分數的描述性統計數值

describe(scale(pisa.dat$ESCS, center = TRUE, scale = TRUE))

##    vars    n mean sd median trimmed  mad   min  max range  skew kurtosis   se
## X1    1 5599    0  1   0.04    0.03 1.13 -3.94 4.94  8.89 -0.18    -0.31 0.01

Adding the z scores we just created into our dataset as a new variable with a new name

將ESCS的Z分數列為新資料併回原本資料集

pisa.dat$ESCS.z<-scale(pisa.dat$ESCS, center = TRUE, scale = TRUE)[,1]
head(pisa.dat)

## # A tibble: 6 × 22
##   CNT          CNTSTUID NatCen     Gender  AGE   ESCS   REPEAT  MISSSC  SKIPPING
##   <chr+lbl>       <dbl> <chr+lbl>  <dbl+l> <dbl> <dbl+> <dbl+l> <dbl+l> <dbl+lb>
## 1 TAP [Chines… 15800002 015… [Chi… 1 [Fem… 15.6  -0.322 0 [Nev… 0 [Nev… 0 [No c…
## 2 TAP [Chines… 15800003 015… [Chi… 1 [Fem… 15.8   0.156 0 [Nev… 0 [Nev… 0 [No c…
## 3 TAP [Chines… 15800004 015… [Chi… 2 [Mal… 16.1  -0.574 0 [Nev… 0 [Nev… 0 [No c…
## 4 TAP [Chines… 15800005 015… [Chi… 1 [Fem… 16.1  -0.818 0 [Nev… 0 [Nev… 0 [No c…
## 5 TAP [Chines… 15800007 015… [Chi… 2 [Mal… 16     0.511 0 [Nev… 0 [Nev… 0 [No c…
## 6 TAP [Chines… 15800008 015… [Chi… 1 [Fem… 15.5   0.287 0 [Nev… 0 [Nev… 0 [No c…
## # ℹ 13 more variables: WORKPAY <dbl+lbl>, MATHMOT <dbl+lbl>, RELATST <dbl+lbl>,
## #   BELONG <dbl+lbl>, STRESAGR <dbl+lbl>, GROSAGR <dbl+lbl>,
## #   TEACHSUP <dbl+lbl>, ANXMAT <dbl+lbl>, MATHPERS <dbl+lbl>, PV1MATH <dbl>,
## #   PV1READ <dbl>, PV1SCIE <dbl>, ESCS.z <dbl>

Descriptive stat for the Zkid_score

計算ESCS的Z分數新欄位資料的描述性統計數值

summary(pisa.dat$ESCS.z)

##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
## -3.94341 -0.73905  0.03678  0.00000  0.78318  4.94265

describe(pisa.dat$ESCS.z)

##    vars    n mean sd median trimmed  mad   min  max range  skew kurtosis   se
## X1    1 5599    0  1   0.04    0.03 1.13 -3.94 4.94  8.89 -0.18    -0.31 0.01

計算ESCS-Z分數的IQR

IQR(pisa.dat$ESCS.z)

## [1] 1.522226

Histogram using hist function

hist(pisa.dat$ESCS.z)

Alternative package and function to create a histogram

library(ggplot2)

## 
## Attaching package: 'ggplot2'

## The following objects are masked from 'package:psych':
## 
##     %+%, alpha

data=data.frame(pisa.dat$ESCS.z)
head(data)

##   pisa.dat.ESCS.z
## 1     -0.05739356
## 2      0.47097225
## 3     -0.33526585
## 4     -0.60474787
## 5      0.86244429
## 6      0.61515231

basic histogram

p <- ggplot(data, aes(x=pisa.dat.ESCS.z)) + 
  geom_histogram(fill = "steelblue",
                 color = "lightblue") 
p

## `stat_bin()` using `bins = 30`. Pick better value `binwidth`.

p1 <- ggplot(data, aes(x=pisa.dat.ESCS.z)) + 
  geom_histogram(binwidth=0.5,
                 fill = "pink",
                 color = "black")  #change binwidth of the histograms
p1

Boxplot

boxplot(pisa.dat$ESCS.z, horizontal=TRUE)  # horizontal box plot