function [u,y] = ch8ex7

% Exercise 8.7 (Fall 2011)
% Least-squares model fitting

u=[
   0.50725819473493
  -0.51152109006025
  -1.13496064261299
   0.71647960353479
   1.87269660917702
   0.41191043817061
  -1.02126566647611
  -0.41205646396245
   0.56701018315135
  -0.25985177525312
  -1.32878667923100
  -0.91771783536194
  -0.08365892809055
  -0.05560441783425
  -0.54345054018472
   0.22677111543099
   1.34213704864594
   1.29737659231637
   1.00838706130552
  -0.03866063805235
   0.23065625421268
   0.63966455247238
  -1.15786659678345
  -0.26389213943104
   0.76481258252860
   0.20507455813003
   0.68809849148993
   0.87134647130563
   0.72014323376126
   1.44732982546432
   1.27237657889369
   0.83316146621162
   0.94476261872089
   0.62533284194084
  -0.03092550022105
   0.23511778481077
  -0.37539068533824
  -1.19124847985397
  -1.31320090559926
  -0.96762040675041
  -0.79617625418872
  -1.33430414988394
   0.35015290060553
   1.01980047720475
  -0.21337961974245
  -0.27126901143755
   0.78172476905478
   0.44819350375244
  -1.21178243272555
  -0.42734681834809
  -0.41797597632649
  -0.92223411934554
   0.01115615945829
  -0.49842798453682
  -1.07913611041342
  -1.04060771830408
   0.50607846328340
   1.66073240417090
  -0.07048309970204
  -0.60945669217476
   0.86137461888668
   1.12321962841005
  -0.04770531228171
   0.21681648130380
   0.03460127303125
  -0.45640416371469
   1.21522044726425
   0.21005717022813
  -1.56913997585380
  -0.53557417473550
   0.60484522050472
  -0.36637897713407
   0.26853130770313
   1.20568856653091
   0.00773768499854
   0.04727177044715
   0.49664590530873
   1.12773052376124
   1.76691285509938
   0.50435565528663
  -1.29450159766455
  -0.68835194813477
   0.86880769900456
   0.05099716971209
  -0.89056864887968
   0.21271827920001
   1.15611851455463
   0.88387411967100
  -0.72767068945229
  -1.96127762457415
  -1.19303621779803
   0.64028746850802
   1.31148321428871
   0.09838255033753
  -0.48447647713333
  -0.59615117991164
   0.48711922508065
   1.01281593042091
   0.39734258428092
   0.13681400946193 ];
y=[
   0.17867228954634
  -0.55972816205346
  -1.52438837127372
   0.22032420328674
   2.01593373207536
   1.69765002867671
  -0.70986498639818
  -0.85717074908481
   0.12908648805589
  -0.25819999556282
  -1.63147073724127
  -1.39135132292182
  -0.50861117846687
  -0.31851399367896
  -0.81937664955308
  -0.21006044709693
   1.15033556252124
   1.93878323350417
   1.80550400291316
   0.49303153284418
   0.04761739604596
   0.42004881912782
  -1.11277466079898
  -0.68287587447404
   0.41686751106958
   0.35709680728408
   0.59766157817505
   0.96939732864539
   0.99998494201326
   1.65410532483152
   2.05297293936069
   1.61272854117619
   1.32338834701127
   0.97193060777420
   0.10371614082947
  -0.02039754232208
  -0.58286524180316
  -1.59417118901528
  -1.80876826887418
  -1.38681127170521
  -1.18276608567142
  -1.74195013143519
  -0.07227703052190
   0.98960608890000
   0.19768912153114
  -0.48204779929081
   0.38385411249861
   0.57215865159172
  -1.18112889997755
  -0.86333091064583
  -0.80867038995662
  -1.32442840090639
  -0.46764500773160
  -0.75301825556005
  -1.48389282071039
  -1.52595607207259
   0.06065820120421
   1.68881437405970
   0.95058325345407
  -0.59711125473038
   0.40175928357644
   1.29202771412610
   0.48125431174021
   0.08057059395126
  -0.17189404324927
  -0.73297939079044
   0.78087904740422
   0.69105887535868
  -1.56197952749789
  -0.93703182050603
   0.24359838438082
  -0.30206889317766
  -0.04980937702885
   1.03039351768049
   0.51561301366629
  -0.04951040150055
   0.22572736739812
   1.07230394192252
   2.22761692197314
   1.71256823738672
  -0.98136106950326
  -1.11700632240352
   0.41490695789367
   0.27962594867983
  -1.01968882293339
  -0.26449734116785
   0.96133827364199
   1.36218116718379
  -0.32268535805813
  -2.32066895805819
  -1.51971328108445
   0.34913613527563
   1.48510260497309
   0.80150762307141
  -0.51044786315989
  -1.03353759610363
  -0.00417178118281
   0.96195800544679
   0.78770218636079
   0.18727530931818 ];
N=100;