Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 5.69429425467762 -0.0376723827778923month[t] + 0.545911781274206Software[t] + 0.05869919417959Happiness[t] -0.07418500599559Depression[t] + 0.0310131483545596Belonging[t] -0.0502893861563574Belonging_Final[t] + 0.125106906673745Connected[t] -0.0182068724583506Separate[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.694294254677622.5804422.20670.0288240.014412
month-0.03767238277789230.021012-1.79290.0749630.037482
Software0.5459117812742060.0684877.971100
Happiness0.058699194179590.075840.7740.4401320.220066
Depression-0.074185005995590.055965-1.32560.186960.09348
Belonging0.03101314835455960.0442930.70020.4848780.242439
Belonging_Final-0.05028938615635740.063512-0.79180.42970.21485
Connected0.1251069066737450.0469632.6640.008550.004275
Separate-0.01820687245835060.044513-0.4090.6830970.341549


Multiple Linear Regression - Regression Statistics
Multiple R0.608233071644423
R-squared0.36994746944201
Adjusted R-squared0.337003546275579
F-TEST (value)11.2296118338139
F-TEST (DF numerator)8
F-TEST (DF denominator)153
p-value1.95909954925355e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.83715139935605
Sum Squared Residuals516.39416541585


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11312.91919690751840.0808030924816154
21615.99974433910070.000255660899297149
31916.20170081783092.7982991821691
41511.73838717863523.26161282136482
51415.4570660049097-1.45706600490975
61314.8868929002999-1.88689290029993
71915.19364866065193.80635133934805
81516.6188207651882-1.61882076518819
91415.9433807431189-1.94338074311887
101512.4772888511822.52271114881803
111615.24590506925790.754094930742098
121616.3279640710719-0.327964071071861
131615.46294967557760.537050324422383
141615.46333790147320.536662098526824
151717.3463350439007-0.346335043900739
161515.0803217449129-0.0803217449129082
171514.58175172813810.418248271861878
182016.16376692301153.83623307698848
191815.55049593139112.44950406860891
201615.25909886337150.740901136628531
211615.28516003838090.714839961619117
221614.72334739491181.27665260508817
231916.58613308765362.41386691234641
241614.82098919103271.17901080896733
251714.79893219621632.20106780378365
261716.97693763386950.0230623661304535
271614.99867643777631.0013235622237
281516.0890692609554-1.08906926095537
291615.43178633745020.568213662549782
301414.013602665109-0.0136026651089834
311515.5630998626357-0.563099862635711
321212.1832783237814-0.183278323781366
331415.1744292926858-1.17442929268582
341615.44009518699750.559904813002529
351415.6538152383658-1.65381523836585
36712.914127102233-5.91412710223301
371010.8321144309081-0.832114430908092
381415.8389638032934-1.83896380329343
391614.17777162259961.82222837740041
401614.64126804715051.35873195284949
411615.10546971061480.894530289385152
421415.5728423793962-1.57284237939623
432018.07622939061991.9237706093801
441414.311788554681-0.311788554680981
451414.9747389292883-0.97473892928832
461115.6765038957419-4.67650389574192
471416.5623242910244-2.56232429102443
481514.94689387048440.0531061295156047
491615.24018986131990.759810138680083
501416.0876449278412-2.0876449278412
511616.5271183452241-0.527118345224081
521414.1210795903052-0.121079590305155
531214.7122604940082-2.71226049400822
541615.28917332073830.710826679261666
55911.5373685198522-2.53736851985221
561412.66071509192771.33928490807234
571616.1730525117913-0.173052511791277
581615.09380039484380.906199605156245
591515.3978370374794-0.397837037479446
601614.17416071273281.82583928726718
611211.44036998928770.559630010712305
621616.039072473638-0.0390724736380314
631616.4948631486739-0.494863148673933
641414.4382573527027-0.438257352702686
651615.52664906840310.473350931596887
661715.90733985863311.09266014136687
671816.14620307583451.8537969241655
681814.6004869204323.39951307956797
691215.978320771278-3.97832077127804
701615.44325010146440.556749898535552
711013.5060113116414-3.50601131164138
721414.3506252593097-0.350625259309736
731816.51815948173461.48184051826543
741817.23488569049580.765114309504234
751615.66825068506930.331749314930666
761713.87548680783423.1245131921658
771616.4116828526391-0.411682852639116
781614.44094046960791.55905953039206
791314.7475862515486-1.74758625154862
801616.116466531103-0.116466531103038
811615.54277211748220.457227882517754
822016.93333769325473.06666230674527
831615.72533326968240.274666730317554
841516.047123818078-1.04712381807799
851514.71746890228620.282531097713796
861614.22259802818931.77740197181066
871414.2538174704002-0.253817470400239
881615.33732772330360.662672276696399
891614.57946687944781.42053312055221
901514.18351393874710.816486061252877
911213.4377724465528-1.43777244655278
921717.0929505699866-0.0929505699866164
931615.49155525983770.508444740162317
941515.2003416450643-0.200341645064319
951315.089096105372-2.08909610537198
961615.24101295135410.758987048645905
971615.90103246031650.0989675396834625
981614.15657260676471.84342739323528
991616.1584594018495-0.15845940184951
1001414.306987209192-0.306987209192001
1011617.4089635488468-1.40896354884683
1021614.83268271887371.16731728112635
1032017.4064780702412.59352192975904
1041514.58059824849890.419401751501105
1051614.52102530269871.47897469730132
1061315.4559750398712-2.45597503987123
1071716.10188388626890.898116113731126
1081616.0208446951518-0.0208446951517973
1091614.6785852449761.32141475502403
1101212.4783362770592-0.478336277059194
1111614.92348141098551.07651858901445
1121615.85297871389740.147021286102583
1131714.48983453866722.51016546133282
1141315.059524261683-2.05952426168296
1151214.9463736718687-2.94637367186866
1161816.65988955084741.34011044915257
1171415.6130355079253-1.61303550792535
1181413.02579564017670.974204359823326
1191314.9957640875578-1.99576408755781
1201615.7014075891820.298592410818042
1211314.3842491683972-1.38424916839722
1221615.62803828030410.371961719695921
1231316.0215024277707-3.02150242777065
1241617.1778357485757-1.17783574857567
1251516.0439287570772-1.0439287570772
1261616.8172264908169-0.817226490816887
1271515.5029110476486-0.502911047648594
1281716.45551211713890.544487882861132
1291513.84983414399261.15016585600739
1301215.0368114887702-3.0368114887702
1311614.21611623506491.78388376493509
1321013.3228584619637-3.32285846196374
1331614.22882517592981.77117482407024
1341213.9262723469076-1.92627234690763
1351415.7775352514921-1.77753525149214
1361515.122271236179-0.122271236178952
1371312.2878149172110.71218508278897
1381514.56386707412630.436132925873748
1391113.2659674395306-2.26596743953058
1401213.4822916422694-1.48229164226936
141813.4227618856519-5.42276188565191
1421613.22305014779262.77694985220737
1431513.30589278573891.69410721426107
1441716.55557574895420.444424251045786
1451614.84712456211441.1528754378856
1461014.2421339037114-4.24213390371136
1471815.96862420117182.03137579882817
1481315.3479913193082-2.34799131930817
1491615.20854939714320.791450602856754
1501313.0963239736709-0.0963239736709029
1511013.2026945023217-3.20269450232175
1521516.5836413758727-1.58364137587273
1531614.20414088553281.79585911446725
1541612.13377115388383.86622884611622
1551412.54081401253081.45918598746917
1561012.5310058452125-2.53100584521252
1571717.0929505699866-0.0929505699866164
1581311.6834701134621.31652988653797
1591513.84983414399261.15016585600739
1601615.12938516733820.870614832661802
1611212.5107405308095-0.510740530809497
1621312.64810461439850.35189538560145


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.6677655109650790.6644689780698420.332234489034921
130.5655993052796240.8688013894407530.434400694720376
140.4338603967816060.8677207935632130.566139603218394
150.3457103140197440.6914206280394880.654289685980256
160.2590114142498830.5180228284997650.740988585750117
170.1960488763745030.3920977527490060.803951123625497
180.401472252346270.8029445046925410.59852774765373
190.3274134218800940.6548268437601870.672586578119906
200.2463858709800510.4927717419601010.753614129019949
210.1814044003013140.3628088006026280.818595599698686
220.1481459897996180.2962919795992360.851854010200382
230.1968136877890560.3936273755781120.803186312210944
240.2641701676475950.528340335295190.735829832352405
250.2569234612872560.5138469225745130.743076538712744
260.2008592730730940.4017185461461890.799140726926906
270.2206142859994280.4412285719988560.779385714000572
280.2282257029620690.4564514059241370.771774297037931
290.2152428836565940.4304857673131880.784757116343406
300.2407873538726960.4815747077453920.759212646127304
310.190513139547510.3810262790950210.80948686045249
320.1571163554672490.3142327109344980.842883644532751
330.1505545449627320.3011090899254650.849445455037268
340.1222318114484420.2444636228968840.877768188551558
350.09830704169167650.1966140833833530.901692958308323
360.6801259527663240.6397480944673520.319874047233676
370.6393861855678420.7212276288643160.360613814432158
380.6432495701356130.7135008597287740.356750429864387
390.7027588689905580.5944822620188840.297241131009442
400.6744614969398150.651077006120370.325538503060185
410.6309965501022410.7380068997955180.369003449897759
420.6008731062290890.7982537875418220.399126893770911
430.6076169205191550.7847661589616910.392383079480845
440.5608911750507340.8782176498985310.439108824949266
450.5295550905710080.9408898188579840.470444909428992
460.7823854591064770.4352290817870460.217614540893523
470.8662076755545990.2675846488908020.133792324445401
480.8358606301401890.3282787397196220.164139369859811
490.8098861741870440.3802276516259110.190113825812956
500.8131070323799650.373785935240070.186892967620035
510.7782852908525590.4434294182948820.221714709147441
520.738923072985530.522153854028940.26107692701447
530.7706574724674080.4586850550651840.229342527532592
540.7490810053803490.5018379892393020.250918994619651
550.7769634034274740.4460731931450520.223036596572526
560.7432985515587670.5134028968824660.256701448441233
570.7055797766621920.5888404466756160.294420223337808
580.6785876601235150.6428246797529710.321412339876485
590.6394823440875580.7210353118248840.360517655912442
600.6269805488260120.7460389023479760.373019451173988
610.5855511337654520.8288977324690960.414448866234548
620.5413173131667590.9173653736664810.458682686833241
630.5096582355369950.980683528926010.490341764463005
640.4694766778990780.9389533557981560.530523322100922
650.424703179264150.8494063585283010.57529682073585
660.3984061220247730.7968122440495460.601593877975227
670.3938277538320580.7876555076641170.606172246167942
680.5694010354381770.8611979291236460.430598964561823
690.71045379461740.57909241076520.2895462053826
700.6734285120084090.6531429759831810.326571487991591
710.7906171996572490.4187656006855020.209382800342751
720.7548784877655770.4902430244688460.245121512234423
730.745532335674130.508935328651740.25446766432587
740.7214429562436730.5571140875126530.278557043756327
750.6805413863755840.6389172272488310.319458613624415
760.7356036241199820.5287927517600350.264396375880018
770.697681063005770.604637873988460.30231893699423
780.6829315511080320.6341368977839350.317068448891968
790.6841467382843850.631706523431230.315853261715615
800.6412555559276510.7174888881446980.358744444072349
810.6014461620208840.7971076759582330.398553837979116
820.719344434458610.561311131082780.28065556554139
830.6797946286184890.6404107427630230.320205371381511
840.6492223972339480.7015552055321050.350777602766052
850.605726314880280.788547370239440.39427368511972
860.6026121235565720.7947757528868570.397387876443428
870.5568585153340450.886282969331910.443141484665955
880.5165939058010810.9668121883978380.483406094198919
890.4990309461928970.9980618923857940.500969053807103
900.4646221951968670.9292443903937350.535377804803133
910.4465918769700990.8931837539401970.553408123029901
920.4082799079442480.8165598158884970.591720092055751
930.3670238185038080.7340476370076170.632976181496192
940.3246308769916930.6492617539833850.675369123008307
950.3336544456454930.6673088912909860.666345554354507
960.3010862304926840.6021724609853680.698913769507316
970.2648216456460840.5296432912921690.735178354353916
980.2688046329575370.5376092659150740.731195367042463
990.2309173875926750.461834775185350.769082612407325
1000.1969950913893410.3939901827786830.803004908610659
1010.1780815111688060.3561630223376120.821918488831194
1020.1643504789039480.3287009578078950.835649521096052
1030.2041551365298380.4083102730596770.795844863470162
1040.1727926630243220.3455853260486450.827207336975678
1050.1674344118217280.3348688236434550.832565588178272
1060.182648425279740.3652968505594810.81735157472026
1070.1632634424663770.3265268849327540.836736557533623
1080.143618548935790.287237097871580.85638145106421
1090.1379400014053380.2758800028106770.862059998594662
1100.1284214920625520.2568429841251040.871578507937448
1110.1129578890721790.2259157781443570.887042110927821
1120.09309156885689790.1861831377137960.906908431143102
1130.1136398617491690.2272797234983380.886360138250831
1140.1024449068313690.2048898136627390.897555093168631
1150.1348867313888230.2697734627776450.865113268611177
1160.1276782638711680.2553565277423370.872321736128832
1170.1110691365512730.2221382731025460.888930863448727
1180.09603286354146590.1920657270829320.903967136458534
1190.09707528932711960.1941505786542390.90292471067288
1200.08914393118205560.1782878623641110.910856068817944
1210.0750077063817080.1500154127634160.924992293618292
1220.05898704327630920.1179740865526180.941012956723691
1230.06706820381677540.1341364076335510.932931796183225
1240.0532210229366740.1064420458733480.946778977063326
1250.04254873063172790.08509746126345580.957451269368272
1260.03185504466019350.0637100893203870.968144955339806
1270.02343882244134960.04687764488269920.97656117755865
1280.01835714418611340.03671428837222680.981642855813887
1290.0140758141793880.0281516283587760.985924185820612
1300.02017782068231060.04035564136462120.979822179317689
1310.01734751430994380.03469502861988760.982652485690056
1320.02693961297694010.05387922595388020.97306038702306
1330.030079377386870.06015875477374010.96992062261313
1340.04269578362764850.08539156725529710.957304216372351
1350.03402566875922230.06805133751844460.965974331240778
1360.02324968809607530.04649937619215060.976750311903925
1370.01561550033295190.03123100066590380.984384499667048
1380.01018737888700540.02037475777401080.989812621112995
1390.02026354284921820.04052708569843650.979736457150782
1400.01692400287290570.03384800574581130.983075997127094
1410.5946974400500430.8106051198999130.405302559949957
1420.5272113095233620.9455773809532760.472788690476638
1430.441053700750110.8821074015002210.55894629924989
1440.3664847568568830.7329695137137660.633515243143117
1450.2794694516777850.5589389033555710.720530548322215
1460.2845138956559560.5690277913119110.715486104344044
1470.2423348264098880.4846696528197760.757665173590112
1480.7493318656303470.5013362687393070.250668134369653
1490.7351060842060640.5297878315878730.264893915793936
1500.5744223137855050.851155372428990.425577686214495


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level100.0719424460431655NOK
10% type I error level160.115107913669065NOK