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Computing time2 seconds
R ServerBig Analytics Cloud Computing Center


Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 6.45638046344026 + 0.109869875550479Connected[t] + 0.543599269953389Software[t] -0.102140496668171Depression[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.456380463440261.845383.49870.0006080.000304
Connected0.1098698755504790.0432382.5410.0120170.006008
Software0.5435992699533890.0682697.962600
Depression-0.1021404966681710.046427-2.20.0292580.014629


Multiple Linear Regression - Regression Statistics
Multiple R0.591595188540566
R-squared0.349984867104348
Adjusted R-squared0.337642807618988
F-TEST (value)28.3570880143207
F-TEST (DF numerator)3
F-TEST (DF denominator)158
p-value9.99200722162641e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.83626549484212
Sum Squared Residuals532.75561287255


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.2585506404327-3.25855064043269
21615.59735211604640.402647883953642
31916.47649882590112.52350117409892
41511.89825626520743.10174373479259
51415.113796311519-1.11379631151903
61314.5121328472229-1.51213284722288
71915.01740592264993.98259407735013
81516.6788005481541-1.67880054815413
91415.9134822560165-1.91348225601648
101512.45533502184212.54466497815788
111615.04602346721070.953976532789337
121616.1177632493528-0.117763249352824
131615.62251952377660.377480476223414
141615.29093062604180.709069373958152
151717.2146704392252-0.21467043922521
161515.0654407671419-0.0654407671418807
171514.4177217294370.582278270562979
182016.03108151044933.96891848955073
191815.69949261271452.30050738728547
201615.16758126381010.832418736189948
211615.23682497386570.763175026134312
221614.95557089159141.0444291084086
231916.5824101592852.41758984071503
241615.07119087494090.928809125059111
251714.51015357613962.48984642386042
261717.1085714003904-0.108571400390439
271614.72414321944151.27585678055847
281516.160368685931-1.16036868593097
291615.17531064269240.82468935730764
301414.3001224750042-0.300122475004233
311515.4662733749323-0.466273374932256
321212.2395538129078-0.239553812907758
331414.9361535916602-0.936153591660184
341615.59160200824740.408397991752648
351415.387321014911-1.38732101491101
36712.960287397384-5.96028739738396
371010.8613925407611-0.861392540761085
381415.7092012626801-1.70920126268014
391614.05719458725631.94280541274365
401614.71641384055921.28358615944077
411615.03829408832840.961705911671645
421415.2851805182428-1.28518051824284
432017.96830081031392.03169918968605
441414.3078518538865-0.307851853886541
451414.9438829705425-0.943882970542492
461115.7169306415624-4.71693064156245
471416.778961773739-2.778961773739
481514.93813286274350.0618671372565159
491614.85918050272221.14081949727776
501416.0310815104493-2.03108151044927
511616.5612012937213-0.561201293721342
521413.97824222723510.0217577727648967
531214.6568787804692-2.6568787804692
541615.82877978819620.171220211803772
55911.5666673674727-2.56666736747267
561412.55747551851031.44252448148971
571615.93667039266340.0633296073365927
581615.24653362383130.753466376168703
591515.4797528616136-0.479752861613573
601614.20571135721841.79428864278163
611211.5148616862650.485138313735047
621615.92894101378110.0710589862189011
631616.576660051486-0.576660051485959
641414.411971621638-0.411971621638013
651615.3873210149110.61267898508899
661716.24507115375120.75492884624878
671816.28569731924611.71430268075394
681814.50638273942393.49361726057613
691215.9366703926634-3.93667039266341
701615.39505039379330.604949606206681
711013.6524034372994-3.65240343729937
721414.3098311249698-0.309831124969842
731816.47451955481781.52548044518221
741817.22042054702420.779579452975782
751615.59160200824740.408397991752648
761713.69302960279423.30697039720578
771616.2605299115158-0.260529911515837
781614.43515975828491.56484024171506
791314.7281017616081-1.72810176160813
801616.1254926282351-0.125492628235132
811615.48173213269690.518267867303127
822016.0233521315673.97664786843304
831615.90575287713420.0942471228658264
841515.8190711382306-0.819071138230619
851514.72612249052480.273877509475166
861614.19025259945381.80974740054625
871414.1960027072528-0.196002707252762
881615.37959163602870.620408363971298
891614.63369064382231.36630935617773
901514.3581866693470.641813330653007
911213.4269135783994-1.42691357839941
921717.0335775825358-0.0335775825357936
931615.49719089046150.50280910953851
941514.96330027047370.0366997295262901
951315.1443931271631-2.14439312716313
961615.0537528460930.946247153907028
971615.95410842151130.0458915784886756
981614.07067407393771.92932592606233
991615.92121163489880.0787883651012096
1001414.3868042139078-0.386804213907787
1011617.2204205470242-1.22042054702422
1021614.86690988160451.13309011839545
1032017.33999907254032.66000092745969
1041514.8282629871930.171737012806995
1051614.42743037940261.57256962059737
1061315.4336972882049-2.43369728820486
1071716.03108151044930.96891848955073
1081615.84998865375990.150011346240147
1091614.85918050272221.14081949727776
1101212.5346080817485-0.534608081748501
1111614.84570101604091.15429898395908
1121615.940628934830.0593710651699924
1131714.8282629871932.171737012807
1141314.4197010005203-1.41970100052032
1151214.7318725983238-2.73187259832384
1161816.56695140152031.43304859847965
1171415.7189099126457-1.71890991264575
1181413.21292393509750.787076064902544
1191315.1424138560798-2.14241385607983
1201615.62251952377660.377480476223414
1211314.5295708760708-1.5295708760708
1221615.49917016154480.50082983845521
1231316.0310815104493-3.03108151044927
1241617.3148316648101-1.31483166481008
1251516.0253314026503-1.02533140265026
1261616.8927901914561-0.89279019145608
1271515.3601743360975-0.360174336097485
1281716.24884199046690.751158009533071
1291513.85093432283671.14906567716329
1301214.9535916205081-2.9535916205081
1311614.28466371723961.71533628276038
1321013.4695190149775-3.46951901497755
1331614.17856467840481.82143532159516
1341213.8703516227679-1.87035162276792
1351415.8190711382306-1.81907113823062
1361515.0654407671419-0.0654407671418807
1371312.07589898506630.924101014933741
1381514.74158124828950.258418751710549
1391113.5542214827978-2.5542214827978
1401213.5270748039843-1.52707480398428
141813.5290540750676-5.52905407506758
1421613.2996056740012.70039432599899
1431513.21490320618081.78509679381924
1441716.68077981923740.31922018076257
1451614.61625261497441.38374738502565
1461014.0764241817367-4.07642418173667
1471815.81332103043162.18667896956839
1481315.607060766012-2.60706076601197
1491615.37186225714640.628137742853607
1501313.2535501005923-0.253550100592298
1511013.2109446640142-3.21094466401416
1521516.4013173025956-1.40131730259555
1531614.16508519172351.83491480827647
1541612.33773576740933.66226423259067
1551412.70995083063891.29004916936109
1561012.5923515762061-2.59235157620612
1571717.0335775825358-0.0335775825357936
1581311.80384514742151.19615485257845
1591513.85093432283671.14906567716329
1601615.25228373163030.747716268369695
1611212.4824817006556-0.482481700655642
1621312.90650244509290.0934975549070569


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.9680607501140.06387849977200030.0319392498860001
80.9393505541249710.1212988917500570.0606494458750287
90.8978873692957080.2042252614085840.102112630704292
100.8555860719131590.2888278561736820.144413928086841
110.8344345948241570.3311308103516860.165565405175843
120.7897866791161720.4204266417676560.210213320883828
130.714394091572580.571211816854840.28560590842742
140.639413206003770.721173587992460.36058679399623
150.5712980428640680.8574039142718640.428701957135932
160.5114951614574850.977009677085030.488504838542515
170.429707530315510.8594150606310190.57029246968449
180.770351623055980.459296753888040.22964837694402
190.7932754721456210.4134490557087580.206724527854379
200.7377275360592070.5245449278815850.262272463940793
210.6799320196513590.6401359606972820.320067980348641
220.6161800203747550.7676399592504910.383819979625246
230.6608315859606420.6783368280787160.339168414039358
240.5990813532145650.801837293570870.400918646785435
250.5832587579287740.8334824841424530.416741242071226
260.5175476272445630.9649047455108740.482452372755437
270.4596029120746030.9192058241492060.540397087925397
280.433886463894430.867772927788860.56611353610557
290.374750745343720.749501490687440.62524925465628
300.3503617712902750.700723542580550.649638228709725
310.3002942439681680.6005884879363360.699705756031832
320.2871700729495830.5743401458991670.712829927050417
330.2775030543469010.5550061086938020.722496945653099
340.2307387463632580.4614774927265160.769261253636742
350.2274805418349560.4549610836699110.772519458165044
360.7630033976465070.4739932047069860.236996602353493
370.7502494168651350.4995011662697290.249750583134865
380.7524226124376830.4951547751246340.247577387562317
390.7781515554221340.4436968891557330.221848444577866
400.7543551489097780.4912897021804440.245644851090222
410.7194861333005590.5610277333988830.280513866699441
420.7039531933433620.5920936133132760.296046806656638
430.7094070016159330.5811859967681340.290592998384067
440.6693064192705460.6613871614589070.330693580729454
450.6445038204474520.7109923591050950.355496179552548
460.8707945765746540.2584108468506920.129205423425346
470.8987529951057810.2024940097884380.101247004894219
480.8749586324046370.2500827351907250.125041367595363
490.8547401409974870.2905197180050260.145259859002513
500.8611257436927040.2777485126145930.138874256307296
510.8336722697541250.332655460491750.166327730245875
520.8013566771108090.3972866457783810.198643322889191
530.838797978360250.3224040432794990.161202021639749
540.8077412517659480.3845174964681030.192258748234052
550.8339629186295960.3320741627408070.166037081370404
560.818186066954480.363627866091040.18181393304552
570.7855532699020390.4288934601959220.214446730097961
580.762529271204430.4749414575911410.23747072879557
590.7269529522191620.5460940955616760.273047047780838
600.7198527625469260.5602944749061480.280147237453074
610.6805987061042590.6388025877914810.319401293895741
620.637577147686410.7248457046271790.36242285231359
630.5962673902059080.8074652195881840.403732609794092
640.5521300567188550.8957398865622910.447869943281146
650.5105893321490960.9788213357018070.489410667850904
660.4724568479614050.9449136959228110.527543152038594
670.4603860525935890.9207721051871790.539613947406411
680.5844340861885460.8311318276229090.415565913811454
690.7372509064076790.5254981871846420.262749093592321
700.7019788296850910.5960423406298190.298021170314909
710.8065133988978130.3869732022043740.193486601102187
720.7748487042260830.4503025915478340.225151295773917
730.7627431308681080.4745137382637840.237256869131892
740.7327568316658260.5344863366683470.267243168334174
750.6956243758504210.6087512482991570.304375624149578
760.7720554758112430.4558890483775130.227944524188757
770.7372130009390630.5255739981218740.262786999060937
780.7261890753106730.5476218493786540.273810924689327
790.721593541495650.5568129170086990.27840645850435
800.6822032740009960.6355934519980090.317796725999004
810.6439002072809770.7121995854380460.356099792719023
820.7864744295428080.4270511409143840.213525570457192
830.7518226435248740.4963547129502510.248177356475126
840.721681627732480.5566367445350410.27831837226752
850.6828253733292690.6343492533414610.317174626670731
860.6811202586927890.6377594826144220.318879741307211
870.6400075558431540.7199848883136920.359992444156846
880.6017106078428420.7965787843143170.398289392157158
890.5823216081717680.8353567836564640.417678391828232
900.5521825714697910.8956348570604170.447817428530209
910.5343338053040780.9313323893918430.465666194695922
920.4924677807045880.9849355614091750.507532219295412
930.4516581057443680.9033162114887360.548341894255632
940.4077054920443470.8154109840886940.592294507955653
950.4235089696733410.8470179393466810.576491030326659
960.391009929089420.7820198581788410.60899007091058
970.3522612988237250.704522597647450.647738701176275
980.354987519625170.709975039250340.64501248037483
990.3131759768063820.6263519536127640.686824023193618
1000.2752090330668040.5504180661336080.724790966933196
1010.2500913012577670.5001826025155350.749908698742233
1020.2342019945586920.4684039891173830.765798005441308
1030.2951185756291920.5902371512583840.704881424370808
1040.2558283927994970.5116567855989950.744171607200503
1050.2541458683728320.5082917367456640.745854131627168
1060.2694016518084320.5388033036168650.730598348191568
1070.2477255705756110.4954511411512220.752274429424389
1080.22226135350960.44452270701920.7777386464904
1090.2114213277126550.422842655425310.788578672287345
1100.1949193541711750.3898387083423510.805080645828825
1110.1778370968351260.3556741936702510.822162903164874
1120.1520281386571480.3040562773142960.847971861342852
1130.1634979962472750.326995992494550.836502003752725
1140.1460155369596520.2920310739193040.853984463040348
1150.1693742932581310.3387485865162620.830625706741869
1160.1691970337253650.3383940674507290.830802966274635
1170.153920249222730.3078404984454590.84607975077727
1180.1304220094747030.2608440189494070.869577990525297
1190.1403897778480810.2807795556961620.859610222151919
1200.126924510641050.25384902128210.87307548935895
1210.1114590659017570.2229181318035140.888540934098243
1220.0939746312083190.1879492624166380.906025368791681
1230.1145394032434610.2290788064869220.885460596756539
1240.09784252985632560.1956850597126510.902157470143674
1250.08068754612175890.1613750922435180.919312453878241
1260.06485127968089380.1297025593617880.935148720319106
1270.05016419324437080.1003283864887420.949835806755629
1280.04336896472248120.08673792944496240.956631035277519
1290.03451197402367850.06902394804735690.965488025976322
1300.04480158979573370.08960317959146740.955198410204266
1310.03961221290357630.07922442580715270.960387787096424
1320.06352431491454310.1270486298290860.936475685085457
1330.07324480714680760.1464896142936150.926755192853192
1340.09224807036201120.1844961407240220.907751929637989
1350.07761687046749940.1552337409349990.922383129532501
1360.05766606035566610.1153321207113320.942333939644334
1370.04328690931502540.08657381863005080.956713090684975
1380.03124588929068850.0624917785813770.968754110709312
1390.04888738979341510.09777477958683030.951112610206585
1400.04040613335244340.08081226670488670.959593866647557
1410.5581526892536470.8836946214927070.441847310746353
1420.5421074544156520.9157850911686960.457892545584348
1430.4744997636735360.9489995273470720.525500236326464
1440.4417684680600790.8835369361201590.558231531939921
1450.3688937798104750.737787559620950.631106220189525
1460.4756582907857010.9513165815714030.524341709214299
1470.4473234859228320.8946469718456650.552676514077168
1480.5148193542050150.970361291589970.485180645794985
1490.4259536014674010.8519072029348020.574046398532599
1500.3339454690951030.6678909381902060.666054530904897
1510.8040963848016810.3918072303966380.195903615198319
1520.9219643835395680.1560712329208630.0780356164604315
1530.8576636442051210.2846727115897580.142336355794879
1540.7602296498487760.4795407003024490.239770350151224
1550.7193504366646750.5612991266706510.280649563335325


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 level90.0604026845637584OK












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