Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 5.51004602654412 + 0.114054780757305Connected[t] -0.0206657003468085Separate[t] + 0.542564264819151Software[t] + 0.0597091397316794Happiness[t] -0.0711620165288007Depression[t] + 0.0357610911025553Belonging[t] -0.0522339742838437Belonging_Final[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.510046026544122.5968672.12180.0354540.017727
Connected0.1140547807573050.046892.43240.0161450.008073
Separate-0.02066570034680850.044811-0.46120.6453240.322662
Software0.5425642648191510.0689527.868800
Happiness0.05970913973167940.0763810.78170.4355760.217788
Depression-0.07116201652880070.05634-1.26310.2084710.104236
Belonging0.03576109110255530.0445310.80310.4231730.211586
Belonging_Final-0.05223397428384370.063958-0.81670.4153660.207683


Multiple Linear Regression - Regression Statistics
Multiple R0.597252140020402
R-squared0.356710118758949
Adjusted R-squared0.327469669611629
F-TEST (value)12.1992010779916
F-TEST (DF numerator)7
F-TEST (DF denominator)154
p-value2.35689245897674e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.85031335255193
Sum Squared Residuals527.24356340532


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.1176010114951-3.11760101149508
21615.9685904576890.0314095423110451
31916.17379130790472.82620869209528
41511.7361273441593.26387265584104
51415.452637097449-1.45263709744899
61314.8834893226671-1.88348932266714
71915.06136131570093.93863868429912
81516.5944113899983-1.59441138999828
91415.8832986290019-1.88329862900193
101512.43353890385492.56646109614508
111615.19823030010620.801769699893772
121616.1967107906881-0.196710790688073
131615.36342669434780.636573305652221
141615.30754854838580.692451451614239
151717.3536454897514-0.353645489751352
161515.0219820117331-0.0219820117331483
171514.55157108565970.448428914340278
182016.12821685929183.87178314070815
191815.41251745179242.58748254820759
201615.19746691696960.802533083030439
211615.24130727894350.758692721056456
221614.70987032922921.29012967077078
231916.41558283161832.58441716838169
241614.68252301266741.31747698733264
251714.77151881403512.22848118596487
261716.88113967483440.118860325165605
271614.96270735333931.0372926466607
281516.0428407120701-1.04284071207008
291615.44086198571860.559138014281356
301413.96097566659550.0390243334045331
311515.5941864333835-0.594186433383495
321212.1849031511977-0.184903151197658
331415.1114906362315-1.11149063623154
341615.43020079273590.569799207264144
351415.6420243027548-1.64202430275481
36712.902573456336-5.90257345633603
371010.8668171646377-0.866817164637676
381415.779490671898-1.77949067189796
391614.22115592283431.77884407716565
401614.58392490717531.41607509282467
411615.04538399769020.954616002309845
421415.5595766071838-1.55957660718381
432017.91471712815872.08528287184129
441414.2062028697073-0.206202869707291
451414.8985465949208-0.898546594920809
461115.59163412605-4.59163412605
471416.4250897991219-2.42508979912194
481514.93160082254760.0683991774524221
491615.19904738281320.800952617186765
501416.0185860866674-2.01858608666736
511616.490631866381-0.490631866380993
521414.1117645059229-0.111764505922894
531214.6847780076518-2.68477800765184
541615.19061367844130.809386321558708
55911.5175710839817-2.51757108398172
561412.62869512246461.37130487753543
571616.0923517617659-0.0923517617659263
581615.083117165710.916882834289958
591515.3237028828634-0.323702882863365
601614.13126710127161.86873289872845
611211.42928313191650.570716868083456
621615.977614851650.0223851483499508
631616.466440278449-0.466440278448962
641414.370634890267-0.370634890266963
651615.43595168864320.564048311356834
661715.90639964666291.09360035333709
671816.1020696780431.89793032195701
681814.67345463619363.32654536380641
691215.8809142378122-3.88091423781219
701615.42116084877460.578839151225445
711013.449196578141-3.449196578141
721414.3239482857985-0.323948285798518
731816.53779446101831.46220553898166
741817.15490693398040.845093066019571
751615.7263754138760.273624586124044
761713.88714376007613.11285623992386
771616.3659420879192-0.365942087919187
781614.45116372766151.5488362723385
791314.8428524594843-1.84285245948429
801616.0260086189542-0.0260086189541596
811615.57587805108330.424121948916667
822016.7721062827113.22789371728898
831615.69179119077210.308208809227862
841516.0247767745921-1.02477677459206
851514.74356870052150.256431299478507
861614.26828869390081.73171130609916
871414.223327636188-0.223327636188002
881615.33766328162630.662336718373708
891614.58326977198891.41673022801113
901514.2122719553820.787728044617952
911213.4826033949017-1.4826033949017
921717.0093460317475-0.00934603174746024
931615.48681289560120.513187104398811
941515.2856069919936-0.285606991993591
951315.1789239840191-2.17892398401912
961615.21831446253930.781685537460747
971615.85948064926540.140519350734551
981614.18415308904031.8158469109597
991616.159901087907-0.159901087906952
1001414.3405734839089-0.340573483908861
1011617.3668114814765-1.3668114814765
1021614.81292853546971.18707146453032
1032017.4147793115812.58522068841896
1041514.58978976215680.410210237843217
1051614.56327262829591.43672737170409
1061315.3971712164423-2.39717121644233
1071716.06700954735680.932990452643163
1081615.94112230748840.0588776925115655
1091614.59796445223541.40203554776461
1101212.3115860011041-0.311586001104149
1111615.01214041037480.987859589625233
1121615.89707198826040.10292801173956
1131714.54825627567792.45174372432212
1141314.9988832654302-1.99888326543019
1151214.9367482002426-2.9367482002426
1161816.67288521431041.3271147856896
1171415.5475987133233-1.54759871332326
1181413.01759792703220.98240207296779
1191314.9879193660467-1.98791936604673
1201615.72506098259650.27493901740351
1211314.3338869887332-1.33388698873322
1221615.69584559488340.304154405116597
1231316.0238939705842-3.02389397058424
1241617.1298631050521-1.12986310505213
1251516.059438245305-1.05943824530504
1261616.8658061313194-0.865806131319397
1271515.5139115699994-0.513911569999371
1281716.34216206260120.657837937398815
1291513.89290617777081.1070938222292
1301215.0352367266114-3.03523672661142
1311614.24212073057971.75787926942027
1321013.3954993580855-3.39549935808545
1331614.18297859108471.81702140891525
1341214.0010798079533-2.00107980795329
1351415.7407983013774-1.74079830137736
1361515.1943517162197-0.194351716219724
1371312.35946478854840.640535211451566
1381514.53159751754470.468402482455295
1391113.2551506775076-2.2551506775076
1401213.4520494331797-1.45204943317969
141813.4537200598596-5.45372005985958
1421613.18907401639792.81092598360207
1431513.41121098928641.58878901071358
1441716.63589086508620.364109134913822
1451614.93117413052421.06882586947583
1461014.2545472410445-4.25454724104455
1471816.01940871387781.98059128612218
1481315.2752928646931-2.27529286469313
1491615.24297998845480.757020011545189
1501313.1168401022919-0.116840102291911
1511013.208809379565-3.20880937956498
1521516.5256452894514-1.52564528945141
1531614.19802295207761.80197704792237
1541612.09045579776863.90954420223143
1551412.54660199522051.45339800477955
1561012.594466135854-2.59446613585403
1571717.0093460317475-0.00934603174746024
1581311.71166780357221.28833219642779
1591513.89290617777081.1070938222292
1601615.17057270609650.829427293903479
1611212.604839934877-0.604839934876992
1621312.68683649943110.31316350056888


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.3915927373164650.783185474632930.608407262683535
120.6254943243075990.7490113513848030.374505675692401
130.4867091109666010.9734182219332010.513290889033399
140.4603790325023830.9207580650047660.539620967497617
150.3516403826345830.7032807652691660.648359617365417
160.2671459388811040.5342918777622070.732854061118896
170.2179719692769120.4359439385538230.782028030723088
180.4192310862711260.8384621725422520.580768913728874
190.3420777570203350.684155514040670.657922242979665
200.2628670978308190.5257341956616390.73713290216918
210.2033205549403470.4066411098806930.796679445059653
220.1855238477607420.3710476955214840.814476152239258
230.3700098031740880.7400196063481760.629990196825912
240.406334223437290.812668446874580.59366577656271
250.3953463659601020.7906927319202050.604653634039897
260.3578065839055040.7156131678110070.642193416094496
270.4174806799758570.8349613599517140.582519320024143
280.4237379098367930.8474758196735860.576262090163207
290.4049945819794950.809989163958990.595005418020505
300.4469798097935040.8939596195870080.553020190206496
310.3889603878228330.7779207756456660.611039612177167
320.3424515357328890.6849030714657790.657548464267111
330.3191719127923430.6383438255846850.680828087207658
340.2860398615820770.5720797231641550.713960138417922
350.2450732817482140.4901465634964280.754926718251786
360.8291409316348880.3417181367302250.170859068365112
370.8027784526922150.3944430946155690.197221547307785
380.7967864929445920.4064270141108150.203213507055408
390.8182355827286290.3635288345427420.181764417271371
400.79979374936770.40041250126460.2002062506323
410.7669693633624310.4660612732751390.233030636637569
420.7418920146553460.5162159706893070.258107985344654
430.7672135109378470.4655729781243060.232786489062153
440.724472433467530.551055133064940.27552756653247
450.6958457454795170.6083085090409660.304154254520483
460.8617078474556880.2765843050886240.138292152544312
470.909597950954780.180804098090440.09040204904522
480.8866223303354560.2267553393290890.113377669664544
490.8706595355127320.2586809289745360.129340464487268
500.8696855465934150.260628906813170.130314453406585
510.841428778594040.3171424428119190.15857122140596
520.8089245283272970.3821509433454070.191075471672703
530.8261005613557360.3477988772885290.173899438644264
540.8131145708234740.3737708583530520.186885429176526
550.8270130169964630.3459739660070750.172986983003537
560.8017066260750650.3965867478498690.198293373924935
570.767472482586960.4650550348260790.23252751741304
580.7440561015056250.5118877969887490.255943898494375
590.706276867635620.5874462647287590.29372313236438
600.7025984522234290.5948030955531420.297401547776571
610.6645229749473530.6709540501052940.335477025052647
620.621918236819520.7561635263609590.37808176318048
630.5821832750949720.8356334498100550.417816724905028
640.5347252321481060.9305495357037880.465274767851894
650.4958433028295060.9916866056590130.504156697170494
660.4666740575599330.9333481151198660.533325942440067
670.4637211463155280.9274422926310550.536278853684472
680.6134789397488830.7730421205022340.386521060251117
690.7293583355690080.5412833288619830.270641664430992
700.6944038820397480.6111922359205050.305596117960252
710.8026295232563270.3947409534873470.197370476743673
720.7682128933769770.4635742132460450.231787106623023
730.7586673735600660.4826652528798680.241332626439934
740.7390156042493210.5219687915013580.260984395750679
750.6995709907133060.6008580185733880.300429009286694
760.7508564049263740.4982871901472520.249143595073626
770.7136859523503720.5726280952992560.286314047649628
780.7004964761740320.5990070476519350.299503523825968
790.7063468259233670.5873063481532650.293653174076633
800.6647800809303070.6704398381393850.335219919069693
810.6254724317326970.7490551365346050.374527568267303
820.7496401958705380.5007196082589240.250359804129462
830.7125785252242440.5748429495515110.287421474775756
840.6828018452098020.6343963095803960.317198154790198
850.6407367240817220.7185265518365560.359263275918278
860.6343314709382190.7313370581235620.365668529061781
870.5895003209316480.8209993581367050.410499679068352
880.5496156872652250.9007686254695510.450384312734775
890.5329610589517190.9340778820965620.467038941048281
900.4989495391938530.9978990783877060.501050460806147
910.4800279376353680.9600558752707370.519972062364632
920.4417806470446890.8835612940893770.558219352955311
930.3997376489922910.7994752979845830.600262351007709
940.357672069568340.7153441391366790.64232793043166
950.3738399949200990.7476799898401980.626160005079901
960.3389494833404870.6778989666809730.661050516659513
970.301194309413590.6023886188271810.69880569058641
980.2998788522635420.5997577045270840.700121147736458
990.2600203614955840.5200407229911690.739979638504416
1000.2244562104843020.4489124209686040.775543789515698
1010.2028547373405410.4057094746810820.797145262659459
1020.1881221794301850.3762443588603690.811877820569815
1030.2314293934640240.4628587869280480.768570606535976
1040.1973741189069960.3947482378139910.802625881093004
1050.1910720485316010.3821440970632020.808927951468399
1060.2036049340944250.407209868188850.796395065905575
1070.183694261991330.367388523982660.81630573800867
1080.1634052079723520.3268104159447040.836594792027648
1090.1570436473095790.3140872946191580.842956352690421
1100.1475814517523450.295162903504690.852418548247655
1110.1300375751887980.2600751503775960.869962424811202
1120.1080778163502410.2161556327004830.891922183649759
1130.1262074729205570.2524149458411150.873792527079443
1140.1161118095666380.2322236191332760.883888190433362
1150.1480463795372070.2960927590744130.851953620462793
1160.1410183504370750.2820367008741510.858981649562925
1170.1221981217715320.2443962435430650.877801878228468
1180.1058469382345460.2116938764690920.894153061765454
1190.1086053126233340.2172106252466680.891394687376666
1200.1007398242165580.2014796484331150.899260175783442
1210.0851309927571720.1702619855143440.914869007242828
1220.06771938745780590.1354387749156120.932280612542194
1230.07688771084767680.1537754216953540.923112289152323
1240.0613855194944320.1227710389888640.938614480505568
1250.04937173198619940.09874346397239870.950628268013801
1260.03763531720641350.0752706344128270.962364682793587
1270.02818618795757970.05637237591515940.97181381204242
1280.02220528696607170.04441057393214350.977794713033928
1290.01767669175123190.03535338350246380.982323308248768
1300.02474692955834770.04949385911669540.975253070441652
1310.02052936940244780.04105873880489560.979470630597552
1320.03231399793720790.06462799587441580.967686002062792
1330.03349234484761360.06698468969522720.966507655152386
1340.04501107942237060.09002215884474130.954988920577629
1350.03571833241112850.0714366648222570.964281667588871
1360.02452083009154280.04904166018308570.975479169908457
1370.01644190989239850.0328838197847970.983558090107602
1380.01145133890574430.02290267781148870.988548661094256
1390.01871415663388380.03742831326776760.981285843366116
1400.01567359713532310.03134719427064630.984326402864677
1410.6160996412983380.7678007174033240.383900358701662
1420.5552829696562640.8894340606874710.444717030343736
1430.4719488638585530.9438977277171050.528051136141447
1440.3918359072269060.7836718144538110.608164092773094
1450.3051902535354820.6103805070709630.694809746464518
1460.3504447408394690.7008894816789380.649555259160531
1470.3098832933177890.6197665866355790.690116706682211
1480.7232123443085750.553575311382850.276787655691425
1490.6823132329729720.6353735340540560.317686767027028
1500.5409477256085510.9181045487828980.459052274391449
1510.7459613461480080.5080773077039830.254038653851992


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level90.0638297872340425NOK
10% type I error level160.113475177304965NOK