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Computing time2 seconds
R ServerBig Analytics Cloud Computing Center


Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 7.02339996521226 -0.00404340643189373t + 0.104338976442402Connected[t] + 0.532415969150615Software[t] -0.0961299660096881Depression[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.023399965212261.8937383.70880.0002880.000144
t-0.004043406431893730.003147-1.28480.2007650.100383
Connected0.1043389764424020.0433642.40610.0172850.008642
Software0.5324159691506150.0686837.751800
Depression-0.09612996600968810.046568-2.06430.0406340.020317


Multiple Linear Regression - Regression Statistics
Multiple R0.597283647877421
R-squared0.356747756021759
Adjusted R-squared0.340359163818492
F-TEST (value)21.7680537533075
F-TEST (DF numerator)4
F-TEST (DF denominator)157
p-value2.63122856836162e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.83249632340132
Sum Squared Residuals527.212715718858


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.5326866306101-3.53268663061012
21615.88367926815230.116320731847662
31916.78185905231222.21814094768777
41512.28267083198662.71732916801343
51415.453386444849-1.453386444849
61314.8216038014949-1.82160380149486
71915.33844857903693.66155142096308
81516.9349718548008-1.93497185480082
91416.1709044289622-2.17090442896218
101512.78831428603992.21168571396006
111615.3066636306820.69333636931803
121616.3510341416859-0.351034141685879
131615.8827589260710.117241073929028
141615.54676849294060.453231507059447
151717.4308749684955-0.430874968495462
161515.3407248141306-0.340724814130569
171514.68920537516710.310794624832948
182016.24706175795033.75293824204974
191815.91107132481982.08892867518016
201615.42068115441270.579318845587318
211615.46100157488830.538998425111699
221615.21212539909680.787874600903195
231916.76746970537412.23253029462588
241615.29765647573680.702343524263188
251714.72584898191762.27415101808244
261717.2524073369923-0.252407336992302
271614.93716120887721.06283879112282
281516.3652448856818-1.36524488568179
291615.39249950695840.607500493041648
301414.5240931046773-0.524093104677318
311515.6563845712582-0.656384571258201
321212.5285415863961-0.528541586396111
331415.1133697127379-1.11336971273791
341615.76501134927030.234988650729651
351415.5687080108191-1.56870801081908
36713.1745566357977-6.17455663579775
371011.1715207387718-1.17152073877178
381415.8613857104179-1.86138571041789
391614.25439746260731.74560253739267
401614.87638791482981.12361208517015
411615.17715242729240.822847572707555
421415.4442741997861-1.44427419978613
432018.03161440263381.96838559736618
441414.4756944250635-0.475694425063519
451415.0730578459879-1.0730578459879
461115.8372474693955-4.83724746939545
471416.8544788725953-2.85447887259533
481515.0716487136308-0.0716487136308204
491614.99610237248741.00389762751262
501416.1176727521297-2.11767275212966
511616.6485573913543-0.648557391354271
521414.1303302442812-0.130330244281165
531214.8065989121117-2.80659891211175
541615.9281692917540.0718307082459743
55911.7445100772615-2.74451007726147
561412.69844755618251.30155244381749
571616.0014479515294-0.00144795152942617
581615.33853464471230.661465355287733
591515.5406571146593-0.540657114659284
601614.31486995614351.68513004385647
611211.71123392999930.288766070000656
621615.97302190893720.0269780910627562
631616.616454535037-0.616454535036973
641414.5098863598067-0.509886359806653
651615.44740581786230.552594182137732
661716.27237728904280.727622710957233
671816.32830903214581.67169096785424
681814.58163368965613.41836631034395
691215.9529270743467-3.9529270743467
701615.43539779613550.564602203864487
711013.7108374084381-3.71083740843805
721414.3814091423418-0.381409142341815
731816.47989050470831.52010949529165
741817.18159290207510.818407097924875
751615.59923168556270.400768314437293
761713.75059552581353.24940447418653
771616.2443178391574-0.244317839157363
781614.47790570105831.52209429894172
791314.7647642691613-1.76476426916135
801616.0842915147498-0.0842915147498195
811615.47063227052890.529367729471057
822015.98007473587634.01992526412366
831615.86348334256930.136516657430665
841515.7797279909932-0.77972799099318
851514.72157373319870.278426266801337
861614.19332336804891.80667663195113
871414.1785588746784-0.178558874678368
881615.3461984594960.653801540504001
891614.63640924926541.36359075073457
901514.37681198653530.62318801346467
911213.432012413854-1.43201241385398
921716.95189977251840.0481002274815907
931615.43852941421160.561470585788355
941514.92920914643320.0707908535668299
951315.0927986407225-2.09279864072251
961614.97118309440371.02881690559628
971615.87505981249040.124940187509576
981614.01332440661971.98667559338029
991615.81520686052450.184793139475537
1001414.320766599589-0.320766599589018
1011617.072420928414-1.07242092841399
1021614.79001084202971.20998915797027
1032017.19581219979662.80418780020336
1041514.74087897700240.25912102299763
1051614.36052471696441.63947528303556
1061315.3308802167509-2.33088021675091
1071715.88719858551171.11280141448829
1081615.71552227835860.284477721641414
1091614.75349798657381.24650201342624
1101212.484993844549-0.484993844549022
1111614.74792325021591.25207674978414
1121615.81692079251790.183079207482089
1131714.70448831911532.29551168088467
1141314.3159250486447-1.31592504864468
1151214.5895504533032-2.58955045330324
1161816.37501488634261.62498511365743
1171415.5690957101023-1.56909571010232
1181413.10344140036940.89655859963056
1191314.9768267889857-1.97682678898574
1201615.45011443785830.549885562141656
1211314.3919601800638-1.39196018006383
1221615.3402007250580.659799274941953
1231315.8225040826014-2.82250408260142
1241617.0673435360574-1.06734353605741
1251515.8251383566762-0.825138356676234
1261616.6772489356608-0.677248935660766
1271515.1342273930441-0.134227393044076
1281715.99203490595541.00796509404457
1291513.67930085434621.3206991456538
1301214.756507407081-2.75650740708096
1311614.09929103419061.90070896580938
1321013.3451379970525-3.34513799705255
1331613.95721406057452.04278593942549
1341213.7133620377948-1.7133620377948
1351415.5735142629666-1.5735142629666
1361514.85551604230330.144483957696678
1371311.97169912856281.02830087143722
1381514.52369121317370.476308786826277
1391113.3776159998022-2.37761599980223
1401213.3110853673296-1.31108536732956
141813.325972058269-5.32597205826898
1421613.08611159114832.91388840885175
1431513.02128633694341.97871366305658
1441716.40399867743460.59600132256541
1451614.37463037084261.62536962915736
1461013.8085198109502-3.8085198109502
1471815.53571447272252.46428552727752
1481315.3204810368999-2.32048103689989
1491615.09134165671780.908658343282232
1501313.0340275440837-0.0340275440837293
1511012.9510788907456-2.95107889074563
1521516.0782373749386-1.07823737493859
1531613.87885800844252.12114199155747
1541612.09351577297213.90648422702787
1551412.48139454277361.51860545722635
1561012.3648031494666-2.36480314946664
1571716.68907835444530.310921645554682
1581311.5720652858981.42793471410203
1591513.55799866138941.44200133861061
1601614.91538610172051.0846138982795
1611212.2402471408648-0.240247140864766
1621312.63714161933710.362858380662948


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.9697098443227420.06058031135451670.0302901556772583
90.9388584225896010.1222831548207990.0611415774103994
100.9099774026874180.1800451946251640.0900225973125822
110.8851546303767360.2296907392465280.114845369623264
120.832504701265170.3349905974696610.16749529873483
130.7604814994412570.4790370011174860.239518500558743
140.6770285401824510.6459429196350990.322971459817549
150.5882813166839980.8234373666320040.411718683316002
160.5687591063403930.8624817873192140.431240893659607
170.4940400896616870.9880801793233730.505959910338313
180.7392187621773850.5215624756452310.260781237822615
190.7108697257019930.5782605485960140.289130274298007
200.6628001023892410.6743997952215180.337199897610759
210.5936792048558790.8126415902882410.406320795144121
220.5393890699308960.9212218601382080.460610930069104
230.5102392234305240.9795215531389530.489760776569476
240.4761134544865420.9522269089730830.523886545513458
250.4275140259026720.8550280518053440.572485974097328
260.3761163520464380.7522327040928760.623883647953562
270.3313540181260280.6627080362520570.668645981873972
280.3791626524724810.7583253049449630.620837347527519
290.3294763309222450.658952661844490.670523669077755
300.3454827871597320.6909655743194640.654517212840268
310.3042494339624140.6084988679248270.695750566037586
320.3085983158070240.6171966316140480.691401684192976
330.3093163415035620.6186326830071230.690683658496438
340.2589288095315540.5178576190631080.741071190468446
350.2573412022340980.5146824044681950.742658797765902
360.7751873288592770.4496253422814460.224812671140723
370.753012650859220.4939746982815610.24698734914078
380.7365936068358550.5268127863282910.263406393164145
390.7776087282625490.4447825434749030.222391271737451
400.7620566018179280.4758867963641440.237943398182072
410.7321256477629620.5357487044740760.267874352237038
420.7064208391275440.5871583217449120.293579160872456
430.7243398446918040.5513203106163920.275660155308196
440.6813709774726850.6372580450546290.318629022527315
450.6481620263408310.7036759473183390.351837973659169
460.8424905242340590.3150189515318820.157509475765941
470.8579493798044380.2841012403911250.142050620195562
480.833242505068750.33351498986250.16675749493125
490.8208653135025660.3582693729948690.179134686497434
500.8140466835764840.3719066328470310.185953316423516
510.7844612150218790.4310775699562430.215538784978121
520.7505659690084820.4988680619830360.249434030991518
530.7713920635586490.4572158728827010.228607936441351
540.7430417728571310.5139164542857390.256958227142869
550.7695215610904960.4609568778190080.230478438909504
560.7664539192147550.4670921615704890.233546080785245
570.7322111828404920.5355776343190160.267788817159508
580.7225737196609190.5548525606781610.277426280339081
590.6862783020658880.6274433958682240.313721697934112
600.6948951031247590.6102097937504820.305104896875241
610.656176949773580.687646100452840.34382305022642
620.6147651711109590.7704696577780820.385234828889041
630.5740346519865690.8519306960268620.425965348013431
640.5333056963132430.9333886073735140.466694303686757
650.4991342180534150.998268436106830.500865781946585
660.4693696651857970.9387393303715940.530630334814203
670.4649838741698570.9299677483397150.535016125830142
680.59340814028690.81318371942620.4065918597131
690.7360580814048520.5278838371902960.263941918595148
700.7026051711175130.5947896577649750.297394828882488
710.812845401047390.374309197905220.18715459895261
720.7840251038682230.4319497922635550.215974896131777
730.7762502665491760.4474994669016470.223749733450824
740.7510713101877790.4978573796244420.248928689812221
750.7174569454221320.5650861091557350.282543054577868
760.7857433719750510.4285132560498980.214256628024949
770.7516782256311090.4966435487377810.248321774368891
780.7364930715483970.5270138569032060.263506928451603
790.7371558837238420.5256882325523150.262844116276158
800.7015937835239940.5968124329520110.298406216476006
810.6654116259678620.6691767480642770.334588374032138
820.7980610730890760.4038778538218480.201938926910924
830.7648556452892750.4702887094214510.235144354710725
840.7369484383485020.5261031233029960.263051561651498
850.6989963157212550.6020073685574890.301003684278745
860.6905823324891240.6188353350217530.309417667510876
870.6502086607344450.6995826785311110.349791339265555
880.6100654741143920.7798690517712150.389934525885608
890.5855619817446180.8288760365107640.414438018255382
900.5512416363871890.8975167272256220.448758363612811
910.5391827219880660.9216345560238680.460817278011934
920.4952510928770660.9905021857541310.504748907122934
930.4521619914535530.9043239829071060.547838008546447
940.4066602032799780.8133204065599560.593339796720022
950.4321956691834460.8643913383668930.567804330816554
960.3961435003134430.7922870006268850.603856499686557
970.3542276852378190.7084553704756380.645772314762181
980.3509009515644770.7018019031289550.649099048435523
990.3083881624224660.6167763248449320.691611837577534
1000.2728211930684560.5456423861369120.727178806931544
1010.2483802436034420.4967604872068830.751619756396558
1020.2286201368351850.4572402736703710.771379863164815
1030.2856196923931370.5712393847862730.714380307606864
1040.246601324395480.493202648790960.75339867560452
1050.2435680903702410.4871361807404820.756431909629759
1060.2569791904331230.5139583808662450.743020809566877
1070.2362256508746070.4724513017492140.763774349125393
1080.2119877027365430.4239754054730850.788012297263457
1090.2051679769317510.4103359538635020.794832023068249
1100.1972627017680190.3945254035360390.802737298231981
1110.1879227428492420.3758454856984850.812077257150758
1120.1656847336864970.3313694673729940.834315266313503
1130.1966960956177280.3933921912354560.803303904382272
1140.1722089254226150.344417850845230.827791074577385
1150.1801419551072550.360283910214510.819858044892745
1160.1936086512442180.3872173024884350.806391348755782
1170.1713037748556840.3426075497113670.828696225144317
1180.1594654032593380.3189308065186770.840534596740662
1190.1551509137252370.3103018274504740.844849086274763
1200.1575338343358450.3150676686716890.842466165664155
1210.1334879903856180.2669759807712360.866512009614382
1220.1242582826310380.2485165652620770.875741717368962
1230.1301528838900310.2603057677800620.869847116109969
1240.1071488772988380.2142977545976760.892851122701162
1250.08534975992498360.1706995198499670.914650240075016
1260.06666328432525210.1333265686505040.933336715674748
1270.05053793690301770.1010758738060350.949462063096982
1280.05369624930716290.1073924986143260.946303750692837
1290.05036291443653090.1007258288730620.949637085563469
1300.0505264275431260.1010528550862520.949473572456874
1310.05488872268080040.1097774453616010.9451112773192
1320.06759916784543760.1351983356908750.932400832154562
1330.1349812525155450.2699625050310910.865018747484455
1340.1371019405749220.2742038811498450.862898059425078
1350.1098032510773290.2196065021546590.890196748922671
1360.08556016430263950.1711203286052790.91443983569736
1370.08026933529518740.1605386705903750.919730664704813
1380.0777250111448460.1554500222896920.922274988855154
1390.07345005324188140.1469001064837630.926549946758119
1400.05346338272544180.1069267654508840.946536617274558
1410.4792518817265520.9585037634531030.520748118273448
1420.4939529589261010.9879059178522030.506047041073899
1430.4442996764145240.8885993528290480.555700323585476
1440.3891288905477210.7782577810954420.610871109452279
1450.3201357067654480.6402714135308960.679864293234552
1460.3871660690049950.774332138009990.612833930995005
1470.3876003052689140.7752006105378280.612399694731086
1480.414344242256940.8286884845138790.58565575774306
1490.3278457142822460.6556914285644910.672154285717754
1500.2408788044271370.4817576088542740.759121195572863
1510.7027552144804020.5944895710391970.297244785519598
1520.8511404739926710.2977190520146580.148859526007329
1530.7437933006927810.5124133986144390.256206699307219
1540.6012876266995150.797424746600970.398712373300485


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level10.00680272108843537OK












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