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Computing time2 seconds
R ServerBig Analytics Cloud Computing Center


Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 5.5100460265441 + 0.114054780757305Connected[t] -0.0206657003468084Separate[t] + 0.54256426481915Software[t] + 0.0597091397316791Happiness[t] -0.0711620165288007Depression[t] + 0.0357610911025548Belonging[t] -0.0522339742838427Belonging_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)5.51004602654412.5968672.12180.0354540.017727
Connected0.1140547807573050.046892.43240.0161450.008073
Separate-0.02066570034680840.044811-0.46120.6453240.322662
Software0.542564264819150.0689527.868800
Happiness0.05970913973167910.0763810.78170.4355760.217788
Depression-0.07116201652880070.05634-1.26310.2084710.104236
Belonging0.03576109110255480.0445310.80310.4231730.211586
Belonging_Final-0.05223397428384270.063958-0.81670.4153660.207683


Multiple Linear Regression - Regression Statistics
Multiple R0.597252140020401
R-squared0.356710118758949
Adjusted R-squared0.327469669611628
F-TEST (value)12.1992010779915
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 Residuals527.243563405321


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.1176010114952-3.11760101149523
21615.9685904576890.0314095423110496
31916.17379130790472.82620869209529
41511.7361273441593.26387265584103
51415.452637097449-1.45263709744898
61314.8834893226671-1.88348932266713
71915.06136131570093.93863868429912
81516.5944113899983-1.59441138999828
91415.8832986290019-1.88329862900192
101512.43353890385492.56646109614508
111615.19823030010620.801769699893772
121616.1967107906881-0.196710790688067
131615.36342669434780.63657330565222
141615.30754854838580.692451451614243
151717.3536454897514-0.353645489751349
161515.0219820117331-0.0219820117331462
171514.55157108565970.448428914340279
182016.12821685929193.87178314070815
191815.41251745179242.58748254820759
201615.19746691696960.802533083030441
211615.24130727894350.758692721056458
221614.70987032922921.29012967077077
231916.41558283161832.5844171683817
241614.68252301266741.31747698733264
251714.77151881403512.22848118596487
261716.88113967483440.118860325165605
271614.96270735333931.0372926466607
281516.0428407120701-1.04284071207008
291615.44086198571860.55913801428136
301413.96097566659550.0390243334045292
311515.5941864333835-0.594186433383494
321212.1849031511977-0.184903151197657
331415.1114906362315-1.11149063623154
341615.43020079273590.569799207264141
351415.6420243027548-1.6420243027548
36712.902573456336-5.90257345633603
371010.8668171646377-0.866817164637678
381415.779490671898-1.77949067189796
391614.22115592283431.77884407716566
401614.58392490717531.41607509282467
411615.04538399769020.954616002309846
421415.5595766071838-1.5595766071838
432017.91471712815872.08528287184129
441414.2062028697073-0.206202869707288
451414.8985465949208-0.898546594920809
461115.59163412605-4.59163412604999
471416.4250897991219-2.42508979912194
481514.93160082254760.0683991774524223
491615.19904738281320.800952617186769
501416.0185860866674-2.01858608666736
511616.490631866381-0.490631866380991
521414.1117645059229-0.111764505922893
531214.6847780076518-2.68477800765184
541615.19061367844130.809386321558702
55911.5175710839817-2.51757108398172
561412.62869512246461.37130487753542
571616.0923517617659-0.0923517617659242
581615.083117165710.916882834289958
591515.3237028828634-0.323702882863364
601614.13126710127161.86873289872845
611211.42928313191650.570716868083456
621615.977614851650.0223851483499527
631616.466440278449-0.466440278448961
641414.370634890267-0.370634890266959
651615.43595168864320.564048311356838
661715.90639964666291.09360035333709
671816.1020696780431.89793032195701
681814.67345463619363.32654536380641
691215.8809142378122-3.88091423781219
701615.42116084877460.578839151225446
711013.449196578141-3.449196578141
721414.3239482857985-0.323948285798515
731816.53779446101831.46220553898167
741817.15490693398040.845093066019575
751615.7263754138760.273624586124044
761713.88714376007613.11285623992386
771616.3659420879192-0.365942087919184
781614.45116372766151.5488362723385
791314.8428524594843-1.84285245948429
801616.0260086189542-0.0260086189541552
811615.57587805108330.42412194891667
822016.7721062827113.22789371728901
831615.69179119077210.308208809227861
841516.0247767745921-1.02477677459205
851514.74356870052150.256431299478507
861614.26828869390081.73171130609916
871414.223327636188-0.223327636188003
881615.33766328162630.66233671837371
891614.58326977198891.41673022801113
901514.21227195538210.78772804461795
911213.4826033949017-1.4826033949017
921717.0093460317475-0.00934603174745505
931615.48681289560120.513187104398812
941515.2856069919936-0.285606991993589
951315.1789239840191-2.17892398401911
961615.21831446253930.781685537460748
971615.85948064926540.140519350734551
981614.18415308904031.8158469109597
991616.1599010879069-0.15990108790695
1001414.3405734839089-0.340573483908861
1011617.3668114814765-1.36681148147649
1021614.81292853546971.18707146453032
1032017.4147793115812.58522068841896
1041514.58978976215680.410210237843215
1051614.56327262829591.43672737170409
1061315.3971712164423-2.39717121644233
1071716.06700954735680.932990452643164
1081615.94112230748840.0588776925115675
1091614.59796445223541.40203554776461
1101212.3115860011042-0.311586001104153
1111615.01214041037480.987859589625235
1121615.89707198826040.102928011739562
1131714.54825627567792.45174372432212
1141314.9988832654302-1.99888326543017
1151214.9367482002426-2.9367482002426
1161816.67288521431041.3271147856896
1171415.5475987133233-1.54759871332325
1181413.01759792703220.982402072967786
1191314.9879193660467-1.98791936604673
1201615.72506098259650.274939017403509
1211314.3338869887332-1.33388698873322
1221615.69584559488340.3041544051166
1231316.0238939705842-3.02389397058424
1241617.1298631050521-1.12986310505213
1251516.059438245305-1.05943824530504
1261616.8658061313194-0.865806131319395
1271515.5139115699994-0.513911569999372
1281716.34216206260120.657837937398818
1291513.89290617777081.10709382222919
1301215.0352367266114-3.03523672661142
1311614.24212073057971.75787926942027
1321013.3954993580855-3.39549935808545
1331614.18297859108471.81702140891525
1341214.0010798079533-2.00107980795329
1351415.7407983013774-1.74079830137736
1361515.1943517162197-0.194351716219725
1371312.35946478854840.640535211451569
1381514.53159751754470.468402482455293
1391113.2551506775076-2.2551506775076
1401213.4520494331797-1.45204943317969
141813.4537200598596-5.45372005985959
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
1501313.1168401022919-0.116840102291915
1511013.208809379565-3.20880937956499
1521516.5256452894514-1.52564528945141
1531614.19802295207761.80197704792238
1541612.09045579776863.90954420223142
1551412.54660199522051.45339800477954
1561012.594466135854-2.59446613585404
1571717.0093460317475-0.00934603174745505
1581311.71166780357221.28833219642779
1591513.89290617777081.10709382222919
1601615.17057270609650.829427293903478
1611212.604839934877-0.604839934876993
1621312.68683649943110.313163500568875


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.3915927373164640.7831854746329280.608407262683536
120.62549432430760.7490113513847990.3745056756924
130.4867091109666030.9734182219332060.513290889033397
140.4603790325023850.9207580650047710.539620967497614
150.3516403826345840.7032807652691670.648359617365416
160.2671459388811030.5342918777622050.732854061118897
170.2179719692769140.4359439385538290.782028030723086
180.4192310862711270.8384621725422550.580768913728873
190.3420777570203350.6841555140406690.657922242979665
200.2628670978308220.5257341956616440.737132902169178
210.2033205549403410.4066411098806830.796679445059659
220.1855238477607440.3710476955214880.814476152239256
230.3700098031740810.7400196063481630.629990196825919
240.4063342234372890.8126684468745780.593665776562711
250.3953463659601030.7906927319202060.604653634039897
260.3578065839055050.7156131678110110.642193416094495
270.4174806799758610.8349613599517230.582519320024139
280.42373790983680.84747581967360.5762620901632
290.4049945819795010.8099891639590020.595005418020499
300.4469798097934990.8939596195869980.553020190206501
310.3889603878228350.7779207756456690.611039612177165
320.3424515357328880.6849030714657770.657548464267112
330.3191719127923470.6383438255846940.680828087207653
340.2860398615820810.5720797231641620.713960138417919
350.2450732817482150.4901465634964290.754926718251785
360.8291409316348870.3417181367302260.170859068365113
370.8027784526922160.3944430946155670.197221547307784
380.7967864929445890.4064270141108230.203213507055411
390.8182355827286340.3635288345427310.181764417271366
400.7997937493677040.4004125012645920.200206250632296
410.7669693633624330.4660612732751350.233030636637567
420.7418920146553530.5162159706892940.258107985344647
430.7672135109378450.465572978124310.232786489062155
440.724472433467540.5510551330649210.27552756653246
450.6958457454795150.6083085090409690.304154254520484
460.861707847455690.2765843050886210.13829215254431
470.9095979509547790.1808040980904420.0904020490452208
480.8866223303354540.2267553393290920.113377669664546
490.870659535512730.258680928974540.12934046448727
500.8696855465934150.2606289068131690.130314453406585
510.8414287785940390.3171424428119210.158571221405961
520.8089245283272950.382150943345410.191075471672705
530.8261005613557380.3477988772885230.173899438644262
540.8131145708234740.3737708583530510.186885429176526
550.8270130169964570.3459739660070850.172986983003543
560.8017066260750660.3965867478498680.198293373924934
570.7674724825869610.4650550348260790.232527517413039
580.7440561015056220.5118877969887570.255943898494378
590.7062768676356180.5874462647287640.293723132364382
600.7025984522234270.5948030955531470.297401547776573
610.6645229749473510.6709540501052980.335477025052649
620.6219182368195180.7561635263609640.378081763180482
630.5821832750949730.8356334498100530.417816724905027
640.5347252321481080.9305495357037830.465274767851892
650.4958433028295130.9916866056590260.504156697170487
660.4666740575599340.9333481151198680.533325942440066
670.4637211463155330.9274422926310660.536278853684467
680.6134789397488840.7730421205022320.386521060251116
690.7293583355690080.5412833288619840.270641664430992
700.6944038820397510.6111922359204990.305596117960249
710.8026295232563290.3947409534873410.197370476743671
720.768212893376980.4635742132460410.23178710662302
730.7586673735600680.4826652528798650.241332626439933
740.7390156042493190.5219687915013610.260984395750681
750.6995709907133040.6008580185733920.300429009286696
760.7508564049263730.4982871901472540.249143595073627
770.7136859523503740.5726280952992520.286314047649626
780.7004964761740340.5990070476519320.299503523825966
790.7063468259233640.5873063481532710.293653174076636
800.6647800809303110.6704398381393790.335219919069689
810.6254724317327020.7490551365345960.374527568267298
820.7496401958705380.5007196082589240.250359804129462
830.7125785252242390.5748429495515220.287421474775761
840.6828018452098030.6343963095803940.317198154790197
850.6407367240817230.7185265518365530.359263275918277
860.634331470938220.7313370581235610.36566852906178
870.5895003209316490.8209993581367020.410499679068351
880.5496156872652260.9007686254695480.450384312734774
890.5329610589517190.9340778820965620.467038941048281
900.498949539193850.99789907838770.50105046080615
910.4800279376353710.9600558752707430.519972062364629
920.4417806470446940.8835612940893880.558219352955306
930.3997376489922960.7994752979845920.600262351007704
940.3576720695683410.7153441391366820.642327930431659
950.3738399949201080.7476799898402160.626160005079892
960.3389494833404940.6778989666809880.661050516659506
970.3011943094135880.6023886188271760.698805690586412
980.2998788522635390.5997577045270790.700121147736461
990.2600203614955890.5200407229911770.739979638504411
1000.2244562104843040.4489124209686070.775543789515696
1010.2028547373405370.4057094746810740.797145262659463
1020.1881221794301810.3762443588603610.811877820569819
1030.2314293934640270.4628587869280540.768570606535973
1040.1973741189070010.3947482378140010.802625881092999
1050.1910720485316040.3821440970632070.808927951468396
1060.2036049340944270.4072098681888550.796395065905573
1070.1836942619913310.3673885239826610.816305738008669
1080.1634052079723490.3268104159446990.836594792027651
1090.1570436473095760.3140872946191510.842956352690424
1100.1475814517523440.2951629035046880.852418548247656
1110.1300375751887940.2600751503775890.869962424811206
1120.1080778163502390.2161556327004780.891922183649761
1130.1262074729205620.2524149458411230.873792527079438
1140.1161118095666360.2322236191332710.883888190433364
1150.1480463795372070.2960927590744130.851953620462793
1160.1410183504370780.2820367008741560.858981649562922
1170.1221981217715290.2443962435430590.877801878228471
1180.1058469382345470.2116938764690950.894153061765453
1190.1086053126233330.2172106252466670.891394687376667
1200.100739824216560.201479648433120.89926017578344
1210.08513099275717010.170261985514340.91486900724283
1220.06771938745780210.1354387749156040.932280612542198
1230.07688771084767840.1537754216953570.923112289152322
1240.06138551949443050.1227710389888610.93861448050557
1250.04937173198619780.09874346397239560.950628268013802
1260.03763531720641410.07527063441282820.962364682793586
1270.02818618795757920.05637237591515840.971813812042421
1280.02220528696607120.04441057393214250.977794713033929
1290.01767669175123260.03535338350246510.982323308248767
1300.0247469295583480.04949385911669610.975253070441652
1310.02052936940244780.04105873880489560.979470630597552
1320.03231399793720740.06462799587441470.967686002062793
1330.03349234484761280.06698468969522570.966507655152387
1340.04501107942236950.0900221588447390.954988920577631
1350.0357183324111280.0714366648222560.964281667588872
1360.0245208300915430.0490416601830860.975479169908457
1370.01644190989239920.03288381978479850.983558090107601
1380.01145133890574420.02290267781148850.988548661094256
1390.01871415663388430.03742831326776860.981285843366116
1400.01567359713532320.03134719427064630.984326402864677
1410.6160996412983360.7678007174033280.383900358701664
1420.5552829696562670.8894340606874650.444717030343733
1430.4719488638585510.9438977277171020.528051136141449
1440.3918359072269040.7836718144538080.608164092773096
1450.3051902535354810.6103805070709610.694809746464519
1460.3504447408394690.7008894816789380.649555259160531
1470.3098832933177880.6197665866355770.690116706682212
1480.7232123443085730.5535753113828540.276787655691427
1490.6823132329729720.6353735340540560.317686767027028
1500.5409477256085530.9181045487828950.459052274391447
1510.7459613461480080.5080773077039850.254038653851992


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












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