New Experiment:


actual ratings: [4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 2, 3, 5, 4, 3, 4, 4, 3, 1, 2, 3, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 3, 4, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 1, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 2, 1, 2, 2, 4, 4, 2, 5, 5, 5, 5, 5, 2, 5, 3, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 1, 4, 2, 2, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 4, 4, 2, 2, 2, 3, 3, 3, 2, 2, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 2, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 5, 2, 3, 5, 2, 3, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 2, 4, 2, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 3, 4, 1, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 5, 5, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 1, 2, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 2, 2, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 2, 4, 3, 1, 4, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5]
predicted ratings rounded: [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, -1, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, -1, -1, -1, -1, -1, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0]
predicted ratings_not_rounded: [3.935841789469123, 3.92097145318985, 3.9305333644151688, 3.9358780421316624, 3.9317065980285406, 3.928457345813513, 3.9284749068319798, 3.9219859037548304, 3.9254918806254864, 3.9169868286699057, 3.93178828060627, 3.9304506089538336, 3.9312840532511473, 3.932558847591281, 3.9371245335787535, 3.9334015659987926, 3.9300847556442022, 3.929850796237588, 3.9328177366405725, 3.9295671731233597, 3.9244279954582453, 3.927463546395302, 3.931879172101617, 3.9347852244973183, 3.930680362507701, 3.9160879272967577, 3.9330135602504015, 3.9267060942947865, 3.9307424388825893, 3.9336464423686266, 3.933112770318985, 3.93351380713284, 3.9164059795439243, 3.9303801339119673, 3.8711304925382137, 3.8843853678554296, 3.884642079472542, 3.8731446862220764, 3.8733384739607573, 3.8876262921839952, 3.8672379571944475, 3.9331097938120365, 3.8556100502610207, 3.9312284979969263, 3.8611551765352488, 3.873853348195553, 3.9350752122700214, 3.855949094519019, 3.924314448609948, 3.933106994256377, 3.9331070855259895, 3.9331070855259895, 3.917341196909547, 3.9278662595897913, 3.9287452306598425, 3.9331070855259895, 3.9261366613209248, 3.9243800155818462, 3.9346296060830355, 3.933107068762183, 3.930374503135681, 3.9327297527343035, 3.9145195204764605, 3.932588839903474, 3.9208967089653015, 3.9259230103343725, 3.9256056137382984, 3.9243937358260155, 3.8371756058186293, 3.9218934196978807, 3.911661146208644, 3.9331081211566925, 3.8725438248366117, 3.9235062524676323, 3.9306750055402517, 3.8571643568575382, 3.8853978775441647, -1, 3.8774547204375267, 3.864845398813486, 3.858921777456999, 3.9240543097257614, 3.9307310171425343, 3.932608876377344, 3.9288348630070686, 3.921875549480319, 3.9329434540122747, 3.92264292947948, 3.915222091600299, 3.9272346645593643, 3.895220011472702, 3.905406439676881, 3.928544891998172, 3.932213544845581, 3.9319968428462744, 3.933780174702406, 3.9268862567842007, 3.856322852894664, 3.926723139360547, 3.8639611955732107, 3.856384100392461, 3.8686103336513042, 3.8634124603122473, 3.8584886640310287, 3.932663494721055, 3.9266062509268522, 3.9211059641093016, 3.9311493821442127, 3.9253328796476126, 3.924396464601159, 3.9274775870144367, 3.924396464601159, 3.9167055021971464, 3.927302982658148, 3.929796075448394, 3.9299466498196125, 3.9307089261710644, 3.927946038544178, 3.936149774119258, 3.9315552953630686, -1, -1, -1, -1, -1, 3.913567367941141, 3.929493021219969, 3.9260877203196287, 3.9296118542551994, 3.9107939023524523, 3.9044271614402533, 3.9235500041395426, 3.89861555211246, 3.9208747167140245, 3.9081630799919367, 3.8893832862377167, 3.9320854041725397, 3.936378836631775, 3.9211138635873795, 3.928872661665082, 3.933893734589219, 3.933977058157325, 3.9248897191137075, 3.9310292210429907, 3.9300440158694983, 3.93187671713531, 3.9343451261520386, 3.931527730077505, 3.931436548009515, 3.9321844950318336, 3.902367962524295, 3.933107662945986, 3.929188223555684, 3.9257026333361864, 3.9309106580913067, 3.9219206795096397, 3.933108089491725, 3.9331080596894026, 3.9176057502627373, 3.924403179436922, 3.9353101514279842, 3.932579282671213, 3.935149397701025, 3.9360270481556654, 3.9326689708977938, 3.933418771252036, 3.934463893994689, 3.9318250380456448, 3.91863832436502, 3.9224006943404675, 3.910681951791048, 3.9271316435188055, 3.9289668295532465, 3.9292259961366653, 3.9266407527029514, 3.9142821803689003, 3.905710104852915, 3.919665366411209, 3.9102686140686274, 3.9050392769277096, 3.8556336108595133, 3.9028929583728313, 3.9329110737890005, 3.9326872043311596, 3.9204723462462425, 3.928329598158598, 3.9343749675899744, 3.9306422770023346, 3.933108650147915, 3.936376914381981, 3.9212916269898415, 3.928058745339513, 3.92932434566319, 3.924894420430064, 3.930330192670226, 3.9360340256243944, 3.932550311088562, 3.9293707981705666, 3.872668784111738, 3.9331083986908197, 3.854514744132757, 3.8438670206815004, 3.9331083595752716, 3.908929020166397, 3.9015025682747364, 3.918642370030284, 3.929763302206993, 3.932020228356123, 3.924640402197838, 3.933648593723774, 3.927194895222783, 3.9318805392831564, 3.922100929543376, 3.9260872583836317, 3.9219237230718136, 3.9296589735895395, 3.929123094305396, 3.9300463814288378, 3.9274560138583183, 3.926209097728133, 3.926254417747259, 3.9348178524523973, 3.9148708395659924, 3.930790415033698, 3.9331090077757835, 3.932154133915901, 3.926751274615526, 3.9275161027908325, 3.928304059430957, 3.9331094175577164, 3.927990725263953, 3.9143399223685265, 3.909952921792865, 3.923724951222539, 3.9244198258966208, 3.9206794295459986, 3.912120124325156, 3.877068914473057, 3.9318958576768637, 3.9331096578389406, 3.93536863848567, 3.933578222990036, 3.8880171589553356, 3.9331096578389406, 3.928284479305148, 3.9221473056823015, 3.9356082882732153, 3.9300594981759787, 3.9328240901231766, 3.9317210018634796, 3.926464483141899, 3.9287608601152897, 3.930007891729474, 3.926580810919404, 3.935127541422844, 3.933061046525836, 3.933233067393303, 3.924109049141407, 3.934070862829685, 3.9399021472781897, 3.930283961817622, 3.9306842107325792, 3.9350897148251534, 3.934724761173129, 3.935442443937063, 3.9316543471068144, 3.937134889885783, 3.931049983948469, 3.9287587590515614, 3.933448653668165, 3.9381491113454103, 3.927301201969385, 3.930532544851303, 3.9332373198121786, 3.9385741613805294, 3.93039189837873, 3.9272728115320206, 3.926515080034733, 3.9058914463967085, 3.93063472956419, 3.9262610226869583, 3.9300797283649445, 3.9349956028163433, 3.9292318653315306, 3.92816711217165, 3.9344467744231224, 3.925043663010001, 3.9126064367592335, 3.894751464948058, 3.9234399534761906, 3.8530722931027412, 3.912116277962923, 3.8791943602263927, 3.8395679090172052, 3.932293673977256, 3.921520199626684, 3.9277363643050194, 3.923303620889783, 3.9280342776328325, 3.9285853002220392, 3.9293336533010006, 3.9265562146902084, 3.935371197760105, 3.9237203001976013, 3.9353160820901394, 3.93312780931592, 3.930771639570594, 3.9218171425163746, 3.931001678109169, 3.9373598136007786, 3.9331096168607473, 3.9308488108217716, 3.929641230031848, 3.9312084279954433, 3.9331093952059746, 3.9331094846129417, 3.9331092294305563, 3.93280129134655, 3.929384244605899, 3.9326479490846395, 3.9325609393417835, 3.933109363541007, 3.9328698720782995, 3.9269666094332933, 3.9291321095079184, 3.92940485291183, 3.929981930181384, 3.9322742205113173, 3.9287391155958176, 3.92378007248044, 3.925991352647543, 3.9306272976100445, 3.920223532244563, 3.928715992718935, 3.9291663877665997, 3.930448707193136, 3.931371182203293, 3.927926257252693, 3.927226811647415, 3.93383121304214, 3.9321550503373146, 3.9305241778492928, 3.921118887141347, 3.933109635487199, 3.932618398219347, 3.9253777619451284, 3.933109635487199, 3.920460566878319, 3.9290491975843906, 3.908618589863181, 3.9331095330417156, 3.9062242303043604, 3.9299670942127705, 3.93054093234241, 3.859612513333559, 3.8599706403911114, 3.8840366695076227, 3.933109972625971, 3.9336514994502068, 3.928304862231016, 3.936968896538019, 3.9334994107484818, 3.935799278318882, 3.931603640317917, 3.928195608779788, 3.9281091690063477, 3.911684326827526, 3.9331619385629892, 3.93167245388031, 3.9335375390946865, 3.9355963598936796, 3.933557640761137, 3.926928935572505, 3.9325737934559584, 3.9280526135116816, 3.928156739100814, 3.9265191704034805, 3.9268485233187675, 3.9267029147595167, 3.9328786190599203, 3.933366598561406, 3.9312648251652718, 3.9156154580414295, 3.928867779672146, 3.928890608251095, 3.923542095348239, 3.9283764865249395, 3.9311412181705236, 3.92282197996974, 3.9286120738834143, 3.930080696940422, 3.9284099210053682, 3.934820620343089, 3.93501596711576, 3.930175717920065, 3.92851378954947, 3.928914515301585, 3.93320051394403, 3.932896912097931, 3.939330181106925, 3.92726824618876, 3.9346936345100403, 3.9314299765974283, 3.9360149689018726, 3.927392030134797, 3.9268455915153027, 3.9150862842798233, 3.9305133149027824, 3.9287418089807034, 3.9331102650612593, 3.908120322972536, 3.931483695283532, 3.9247370921075344, 3.9309259951114655, 3.93604570068419, 3.9277874883264303, 3.932884095236659, 3.9324697256088257, 3.926127752289176, 3.9103710744529963, 3.934069911018014, 3.929274968802929, 3.930815726518631, 3.9249320048838854, 3.9249327331781387, 3.933802630752325, 3.9279716443270445, 3.932149149477482, 3.9340783171355724, 3.8940481673926115, 3.922418151050806, 3.933109985664487, 3.933110062032938, 3.927979502826929, 3.9331100042909384, 3.932737434282899, 3.933110160753131, 3.926464833319187, 3.894313970580697, 3.93311027623713, 3.8975453786551952, 3.9236417748034, 3.928099926561117, 3.9179106149822474, 3.9254479836672544, 3.8990963250398636, 3.925545636564493, 3.9332948867231607, 3.9290412925183773, 3.9325235839933157, 3.937134923413396, 3.9372185729444027, 3.9320113342255354, 3.934487648308277, 3.928717840462923, 3.9304535128176212, 3.9109776820987463, 3.936316629871726, 3.929166352376342, 3.933110162615776, 3.9286328591406345, 3.9300428926944733, 3.9331102035939693, 3.8484410233795643, 3.847943287342787, 3.9274209197610617, 3.9331100303679705, 3.930895235389471, 3.929360255599022, 3.924029625952244, 3.9290392231196165, 3.9245672058314085, 3.9188363570719957, 3.930763693526387, 3.9360103998333216, 3.92991759814322, 3.923578780144453, 3.9207942001521587, 3.9292935114353895, 3.9299648590385914, 3.9349787924438715, 3.930166631937027, 3.9260709919035435, 3.9187905322760344, 3.9348327089101076, 3.8474035784602165, 3.926328456029296, 3.932355036959052, 3.9331100583076477, 3.935188142582774, 3.933110261335969, 3.9292754773050547, 3.927913274616003, 3.917280266061425, 3.9230800606310368, 3.930314928293228, 3.9207383058965206, 3.925559550523758, 3.93113867752254, 3.9338713958859444, 3.9221990201622248, 3.9270463306456804, 3.923299489542842, 3.926057444885373, 3.9203757513314486, 3.9270789846777916, 3.9206124879419804, 3.9140734504908323, 3.9225789345800877, 3.9290134124457836, 3.926502615213394, 3.928175987675786, 3.9338613264262676, 3.9323212765157223, 3.9223270546644926, 3.9319763109087944, 3.923911951482296, 3.9336818903684616, 3.933110335841775, 3.9163113348186016, 3.9165528435260057, 3.92894877307117, 3.928925085812807, 3.919110542163253, 3.9282710012048483, 3.920364698395133, 3.9330342784523964, 3.9324022103101015, 3.929758468642831, 3.9228723496198654, 3.9350034669041634, 3.9316108506172895, 3.65219808742404, 3.929553473368287, 3.907007871195674, 3.932818442583084, 3.929248644039035, 3.926809076219797, 3.932083999738097, 3.928159335628152, 3.9281662460416555, 3.93050080537796, 3.927951930090785, 3.9359602220356464, 3.932909520342946, 3.9175660107284784, 3.924337226897478, 3.9262889325618744, 3.933453591540456, 3.934607995674014, 3.9318079128861427, 3.9333551805466413, 3.93456625379622, 3.92894035205245, 3.928162695840001, 3.9306075386703014, 3.9301967415958643, 3.931682163849473, 3.9308997206389904, 3.928650937974453, 3.9167140144854784, 3.925919471308589, 3.936476783826947, 3.924125475808978, 3.926841339096427, 3.9312236942350864, 3.9309833645820618, 3.9319078903645277, 3.9292169120162725, 3.9051370341330767, 3.9270904529839754, 3.9327334593981504, 3.9186090361326933, 3.929679671302438, 3.906418863683939, 3.918200071901083, 3.9166989251971245, 3.912752041593194, 3.89845172688365, 3.9331102538853884, 3.9130231514573097, 3.9331105016171932, 3.9287019688636065, 3.934566220268607, 3.9356173779815435, 3.927257388830185, 3.9306074641644955, 3.931034656241536, 3.9226969219744205, 3.922444710507989, 3.924400620162487, 3.9302351716905832, 3.935991581529379, 3.930129799991846, 3.913734082132578, 3.9333911184221506, 3.929260417819023, 3.9334333650767803, 3.9331102911382914, 3.921734355390072, 3.925713302567601, 3.930951638147235, 3.9174251705408096, 3.933110546320677, 3.933110535144806, 3.9331105407327414]
New Experiment:


actual ratings: [4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 2, 3, 5, 4, 3, 4, 4, 3, 1, 2, 3, 2, 3, 3, 4, 5, 5, 1, 4, 4, 3, 4, 2, 2, 4, 4, 5, 3, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 1, 4, 5, 5, 3, 3, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 2, 2, 2, 3, 3, 3, 2, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 2, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 5, 1, 2, 4, 5, 4, 5, 4, 5, 5, 5, 4, 2, 2, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5]
predicted ratings rounded: [3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0]
predicted ratings_not_rounded: [2.7110611957032233, 2.711494310759008, 2.710992087610066, 2.7111306046135724, 2.7118399443570524, 2.711092907236889, 2.710953392321244, 2.711050261044875, 2.7111399210989475, 2.7120693400502205, 2.7110074411612004, 2.7111862066667527, 2.711031974526122, 2.711551226209849, 2.714865035377443, 2.7112813317216933, 2.71193802729249, 2.711313853505999, 2.7172957013826817, 2.7144470245111734, 2.714087147731334, 2.7159124026075006, 2.716110337758437, 2.713856259128079, 2.716829168610275, 2.71576545573771, 2.7192524999845773, 2.7118447134271264, 2.7170406160876155, 2.7152044682297856, 2.711124869994819, 2.718093124218285, 2.7125030665192753, 2.7163472294341773, 2.7111160929780453, 2.711410637013614, 2.7109127796720713, 2.71627489104867, 2.711261953227222, 2.7115129022859037, 2.7122051822952926, 2.7112104119732976, 2.7115129660815, 2.7110597451683134, 2.715706631774083, 2.7115404962096363, 2.7111303685232997, 2.7185025468934327, 2.718801930779591, -1, 2.714940075064078, 2.716296329163015, 2.71778118936345, 2.711523538455367, 2.7111132272984833, 2.7112648368347436, 2.711258216528222, 2.7134699770249426, 2.711375025101006, 2.7118833963759243, 2.7121001249179244, 2.7122396857012063, 2.711421019397676, 2.7118180475663394, 2.7113165012560785, 2.7126065075863153, 2.715768187539652, 2.7122804613318294, 2.713714242214337, 2.711827281396836, 2.7113259555771947, 2.711224940372631, 2.71101568127051, 2.711229278938845, 2.7112398515455425, 2.711681580869481, 2.7113059950061142, 2.7111996880266815, 2.7109855364542454, 2.711553681641817, 2.7117612950969487, 2.7114752852357924, 2.7117673056200147, 2.711050875717774, 2.716104355175048, 2.710977327777073, 2.711857191985473, 2.711387513903901, 2.7127108364365995, 2.7112402501516044, 2.711962766479701, 2.711551225744188, 2.71228672307916, 2.711275821784511, 2.711796268587932, 2.7116037702653557, 2.7120692178141326, 2.711214748909697, 2.712510736892, 2.7109649076592177, 2.7158259919378906, 2.711171875707805, 2.711378427920863, 2.71105558401905, 2.7114039482548833, 2.7112704874016345, 2.711130009731278, 2.711126787820831, 2.7113381556700915, 2.711032452294603, 2.711061104433611, 2.7110244459472597, 2.7117071645334363, 2.7110112155787647, 2.7110658658202738, 2.7114942132029682, 2.7111140792258084, 2.711262024473399, 2.7127544917166233, 2.7114714824128896, 2.712003172142431, 2.7108407472260296, 2.7111088593956083, 2.7112942242529243, 2.71135629969649, 2.71105592767708, 2.7116709800902754, 2.711757746525109, 2.713686689035967, 2.712359213270247, 2.7196525121107697, 2.713823628379032, 2.7113005127757788, 2.711809955071658, 2.711560904746875, 2.7119127390906215, 2.7113566352054477, 2.7157739943359047, 2.7116709656547755, 2.7115197989623994, 2.711248010629788, 2.711084115318954, 2.71150417602621, 2.7115532620809972, 2.7111213526222855, 2.7126807121094316, 2.710966780083254, 2.7115203458815813, 2.7113062562420964, 2.711439598351717, 2.711454981472343, 2.71123765129596, 2.7113231259863824, 2.7109628457110375, 2.711080397479236, 2.7110134495887905, 2.711492409463972, 2.710957882925868, 2.7110962443985045, 2.7122925594449043, 2.7111312083434314, 2.7111796233803034, 2.7113741689827293, 2.711350528523326, 2.71089199767448, 2.7110193169210106, 2.7113626876380295, 2.711010961094871, 2.7109614252112806, 2.7113456635270268, 2.7113165371119976, 2.7111979292239994, 2.710851690499112, 2.711350137135014, 2.7110836897045374, 2.710987308761105, 2.7114513106644154, 2.713108229683712, 2.7110560664441437, 2.710767336655408, 2.711181640625, 2.7115294537506998, 2.711530506843701, 2.7107657557353377, 2.710970882792026, 2.711146612651646, 2.7109034883324057, 2.714441357878968, 2.713962712092325, 2.7155085124541074, 2.713305887999013, 2.7115609620232135, 2.711226042592898, 2.711617480032146, 2.7115451160352677, 2.715975695522502, 2.7112723868340254, 2.711464769206941, 2.7118121760431677, 2.7114138763863593, 2.7107696717139333, 2.7110398248769343, 2.711196181131527, 2.712239490589127, 2.7112171987537295, 2.7109027868136764, 2.711142939981073, 2.711781566264108, 2.7113305560778826, 2.7122002763208, 2.710909322835505, 2.7219557508360595, 2.710825043031946, 2.7112638547550887, 2.7112474725581706, 2.7109075393527746, 2.71203862153925, 2.7112379304599017, 2.7114999145269394, 2.7112795021384954, 2.7154032653197646, 2.712271731812507, 2.712273712037131, 2.711527392733842, 2.7110658981837332, 2.7119823081884533, 2.7115764727350324, 2.711908105062321, 2.712647875538096, 2.711083063390106, 2.711825327249244, 2.711475790478289, 2.7112637993413955, 2.711542409611866, 2.711457621306181, 2.7110047144815326, 2.7109163436107337, 2.711073313606903, 2.7109035139437765, 2.7115680726710707, 2.711191947106272, 2.7110120228026062, 2.7109702446032315, 2.7113846326246858, 2.710959909716621, 2.7111185144167393, 2.7111904085613787, 2.7121763662435114, 2.71179018355906, 2.7108909310773015, 2.7115971280727535, 2.712204701732844, 2.7125674840062857, 2.7114333065692335, 2.7123266053386033, 2.7117720094975084, 2.7132549460511655, 2.715414975536987, 2.7125349049456418, 2.7154142297804356, 2.7110279633197933, 2.7116799554787576, 2.711417874088511, 2.7108328531030566, 2.7117062255274504, 2.712113342480734, 2.711802206467837, 2.71124474122189, 2.7111452729441226, 2.7154071661643684, 2.711229368345812, 2.711889964295551, 2.710799097083509, 2.71205725078471, 2.7153876768425107, 2.7153842344414443, 2.7153804739937186]
New Experiment:


actual ratings: [4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 2, 3, 5, 4, 3, 4, 4, 3, 1, 2, 3, 2, 3, 3, 4, 5, 5, 1, 4, 4, 3, 4, 2, 2, 4, 4, 5, 3, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 1, 4, 5, 5, 3, 3, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 2, 2, 2, 3, 3, 3, 2, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 2, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 5, 1, 2, 4, 5, 4, 5, 4, 5, 5, 5, 4, 2, 2, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5]
predicted ratings rounded: [3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0]
predicted ratings_not_rounded: [2.710475016385317, 2.710508157266304, 2.7104467435274273, 2.710479899542406, 2.7105992939323187, 2.710448645055294, 2.7104398633819073, 2.7104570120573044, 2.7104933825321496, 2.7106867022812366, 2.7104487793985754, 2.7104943711310625, 2.7104555959813297, 2.7105340836569667, 2.7110743529628962, 2.7104831219185144, 2.7105687288567424, 2.710526831448078, 2.7109751396346837, 2.710803636815399, 2.7107330025173724, 2.7108761621639132, 2.7108804325107485, 2.7107279065530747, 2.710903162835166, 2.711156164528802, 2.7110103336162865, 2.710611099842936, 2.7109136341605335, 2.710762148955837, 2.710467639612034, 2.710943510988727, 2.7107022954151034, 2.7112050701398402, 2.710473738377914, 2.7105481536127627, 2.7104190380778164, 2.711199016077444, 2.7105104725342244, 2.710538922343403, 2.710681942291558, 2.710456364788115, 2.71053596585989, 2.7104345795232803, 2.7108778443653136, 2.7105054839048535, 2.7104847247246653, 2.711066225776449, 2.711201688507572, -1, 2.710793482605368, 2.7108394333627075, 2.710938968230039, 2.710489248391241, 2.710464079864323, 2.7104954812675714, 2.710514956852421, 2.710735925938934, 2.7105060745961964, 2.7106411380227655, 2.710680020041764, 2.7106674707029015, 2.7105004307813942, 2.7105837480630726, 2.7105109116528183, 2.710669834399596, 2.7110060604754835, 2.7106782922055572, 2.7108084042556584, 2.7105397135019302, 2.7104942691512406, 2.7105057071894407, 2.7104482969734818, 2.7105038100853562, 2.7104937667027116, 2.7105594084132463, 2.710496281273663, 2.710485227406025, 2.710449110949412, 2.7105413880199194, 2.710607317974791, 2.7105282221455127, 2.7105740779079497, 2.7104721476789564, 2.711184858577326, 2.7104327431879938, 2.710605028551072, 2.7105255001224577, 2.7107158438302577, 2.710473691811785, 2.7106534796766937, 2.710575411794707, 2.7107156158890575, 2.710490587167442, 2.7105866649653763, 2.710556929698214, 2.710620437283069, 2.7105027760844678, 2.71072315168567, 2.7104394459165633, 2.711161304730922, 2.7104747793637216, 2.710498589091003, 2.7104378410149366, 2.7105503922794014, 2.71050729136914, 2.7104892164934427, 2.7104746345430613, 2.71055595879443, 2.710455709602684, 2.71046837605536, 2.710448575904593, 2.7105780225247145, 2.710456828121096, 2.7104886807501316, 2.710557412588969, 2.7104719828348607, 2.7104663241188973, 2.7106718844734132, 2.710536147467792, 2.7106106628198177, 2.7104161696042866, 2.7104597014840692, 2.710521136643365, 2.7105077954474837, 2.7104640330653638, 2.710594783304259, 2.7105782101862133, 2.710811553290114, 2.710637195734307, 2.7112681076396257, 2.7108420620206743, 2.710516424383968, 2.7105717642698437, 2.7105181019287556, 2.7106180540286005, 2.71050738543272, 2.711156975943595, 2.7105875555425882, 2.7105490090325475, 2.710501539055258, 2.710454658837989, 2.710538128623739, 2.710499903652817, 2.7104629864916205, 2.7107065541204065, 2.710448098136112, 2.71056746924296, 2.710505744908005, 2.7105578107293695, 2.7105353793594986, 2.71049291966483, 2.7105121130589396, 2.7104411204345524, 2.7104714412707835, 2.710476961452514, 2.710549916373566, 2.7104306367691606, 2.7104531812947243, 2.7106629994232208, 2.7104546702466905, 2.7104866502340883, 2.7105186933185905, 2.710522636771202, 2.710405995603651, 2.710423020180315, 2.7105206781998277, 2.710426512407139, 2.7104288314003497, 2.710494566708803, 2.7105004442855716, 2.710483623901382, 2.710414982168004, 2.7104907259345055, 2.710458017885685, 2.7104584604967386, 2.7105318009853363, 2.710768320132047, 2.7104538222774863, 2.7103807067032903, 2.7104689043480903, 2.7105434662662446, 2.710543612251058, 2.7103823556099087, 2.71042039222084, 2.710480272071436, 2.710419074865058, 2.710946876788512, 2.710851107724011, 2.711133699165657, 2.7107298993505538, 2.710510943317786, 2.7104800536762923, 2.7105521492194384, 2.710530998185277, 2.710926017491147, 2.7104922980070114, 2.7105163731612265, 2.7105995626188815, 2.71053747064434, 2.7103802154306322, 2.7104524604510516, 2.7104931832291186, 2.710600292077288, 2.710512852296233, 2.710429116152227, 2.710462980438024, 2.7105593762826174, 2.7105175859760493, 2.710591536015272, 2.7104188653174788, 2.711333221755922, 2.710399678442627, 2.7105098029132932, 2.710502931382507, 2.710422277217731, 2.710642012069002, 2.710464597446844, 2.7105728269089013, 2.710494474740699, 2.711124051362276, 2.710673643508926, 2.7106768651865423, 2.710538657847792, 2.7104670328553766, 2.7106314562261105, 2.7105582715012133, 2.710602834355086, 2.710712338797748, 2.7104597776196897, 2.710566730936989, 2.710556323407218, 2.7104802161920816, 2.7105177668854594, 2.7105735586956143, 2.7104576071724296, 2.7103999610990286, 2.7104615012649447, 2.7104262665379792, 2.7105253068730235, 2.710489828372374, 2.7104425341822207, 2.7104417155496776, 2.710508596850559, 2.710443073650822, 2.710456013213843, 2.7104874653741717, 2.7106448621489108, 2.7105666620191187, 2.710415593115613, 2.7105377758853137, 2.710624526022002, 2.7107118947897106, 2.710499541601166, 2.710652597947046, 2.710533404024318, 2.710853327997029, 2.7111253775656223, 2.7106924960389733, 2.711124907480553, 2.7104533733800054, 2.7105732983909547, 2.7105178276542574, 2.710399342700839, 2.71057988377288, 2.7106103226542473, 2.7105744667351246, 2.7105205489788204, 2.7104794406332076, 2.7111246585845947, 2.710483823204413, 2.7105961674824357, 2.7103814496658742, 2.710622457554564, 2.7111228862777352, 2.711122342152521, 2.7111223007086664]