Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 122.885849292047 -0.0585642533804576jaar[t] + 0.105572049440286Connected[t] -0.0137483003179505Separate[t] + 0.529844608156627Software[t] + 0.0522284083671098Happiness[t] -0.0636799587374268Depression[t] + 0.0426747922407322Belonging[t] -0.057003635801138Belonging_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)122.88584929204789.7224431.36960.1728120.086406
jaar-0.05856425338045760.044748-1.30880.1925790.09629
Connected0.1055720494402860.0472282.23530.0268420.013421
Separate-0.01374830031795050.045019-0.30540.7604850.380243
Software0.5298446081566270.0694767.626300
Happiness0.05222840836710980.0764190.68340.4953580.247679
Depression-0.06367995873742680.0565-1.12710.2614760.130738
Belonging0.04267479224073220.0447410.95380.3416780.170839
Belonging_Final-0.0570036358011380.063914-0.89190.3738610.18693


Multiple Linear Regression - Regression Statistics
Multiple R0.603184919776016
R-squared0.363832047445199
Adjusted R-squared0.330568363651484
F-TEST (value)10.9378158384834
F-TEST (DF numerator)8
F-TEST (DF denominator)153
p-value3.90865118049533e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.8460457572347
Sum Squared Residuals521.406395484051


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.3261822993945-3.32618229939451
21616.2654760501931-0.265476050193111
31916.49635927951672.50364072048326
41512.14009321006712.85990678993288
51415.8455773702051-1.84557737020506
61315.1775243917705-2.17752439177046
71915.28945853635933.71054146364068
81516.9212013108792-1.9212013108792
91416.1742786506292-2.17427865062917
101512.83984058684272.16015941315725
111615.47054296920160.529457030798384
121616.3548482866894-0.354848286689419
131615.67816827570530.321831724294656
141615.48939739467550.510602605324498
151717.6164639105836-0.616463910583573
161515.2442106031652-0.244210603165172
171514.83299663081320.167003369186779
182016.41080482233223.58919517766777
191815.61037924888922.38962075111079
201615.3834208867140.616579113285963
211615.42541949855910.57458050144086
221614.98016876525771.01983123474232
231916.57198971172942.42801028827061
241614.91292640328551.08707359671455
251715.03799053633121.96200946366885
261717.1070151439375-0.107015143937504
271615.18536623326840.81463376673158
281516.245628083768-1.24562808376798
291615.68390993019650.316090069803486
301414.1721400097456-0.172140009745617
311515.7694705762369-0.76947057623685
321212.4365593416107-0.436559341610674
331415.2484658898814-1.24846588988138
341615.66854468581140.331455314188569
351415.8424901694015-1.84249016940145
36713.1217030908808-6.12170309088078
371011.2305076843024-1.23050768430241
381415.9432697219094-1.94326972190938
391614.44625254815931.55374745184066
401614.71400135483571.28599864516431
411615.14939358330610.850606416693896
421415.7121253937024-1.71212539370239
432017.85064482543312.14935517456693
441414.3086216372389-0.308621637238939
451414.9835506376418-0.983550637641762
461115.7331738558087-4.73317385580866
471416.4781954964263-2.4781954964263
481515.0877646320304-0.0877646320304247
491615.38456431182780.615435688172186
501416.1255129070913-2.1255129070913
511616.6186244677728-0.618624467772833
521414.2646963680069-0.264696368006893
531214.8134831083753-2.81348310837529
541615.23697104268860.763028957311424
55911.6733109069271-2.67331090692708
561412.7517533339661.24824666603395
571616.131674617901-0.131674617900974
581615.1507329117990.849267088201004
591515.4166480323333-0.416648032333259
601614.25673175552261.74326824447737
611211.59608258432350.403917415676484
621616.061121678819-0.0611216788189822
631616.5803175803189-0.58031758031892
641414.4345740103523-0.434574010352282
651615.42337864808530.576621351914705
661716.04000980485460.95999019514536
671816.11608582488731.88391417511274
681814.72946148985983.27053851014023
691215.8679948902056-3.86799489020562
701615.45130584490070.548694155099264
711013.4744865551996-3.47448655519962
721414.346884026894-0.346884026893954
731816.61168206195721.38831793804281
741817.1414451148150.85855488518497
751615.75389265531990.246107344680106
761713.97561056566933.02438943433072
771616.3461024838492-0.346102483849176
781614.48887502466281.51112497533725
791314.914851418384-1.91485141838403
801615.8867867625130.113213237487014
811615.58511904837270.414880951627293
822016.6269214396593.37307856034104
831615.62548006228550.374519937714537
841515.9521627506764-0.952162750676407
851514.72880275859140.271197241408582
861614.27222978752461.72777021247536
871414.2411451195138-0.241145119513763
881615.29797390270130.7020260972987
891614.53282485959591.46717514040408
901514.29499491351480.705005086485191
911213.5054892708372-1.50548927083723
921716.86136303014780.138636969852191
931615.51481214370720.485187856292791
941515.2966022632791-0.296602263279128
951315.1316506975816-2.13165069758161
961615.13819744012740.861802559872582
971615.76161386743560.2383861325644
981614.12200337038491.87799662961515
991616.0521387230027-0.052138723002704
1001414.2969491112539-0.296949111253939
1011617.2112202930575-1.21122029305752
1021614.7586165484831.241383451517
1032017.32163185573232.67836814426771
1041514.46545315054550.534546849454467
1051614.58006185639351.4199381436065
1061315.3133376866016-2.31333768660162
1071715.93536373835541.06463626164459
1081615.84109906535110.158900934648889
1091614.42692596470521.57307403529479
1101212.2068067167758-0.206806716775765
1111614.94474458703331.05525541296666
1121615.79478040197880.205219598021208
1131714.53041597364732.46958402635274
1141314.8123313128217-1.81233131282172
1151214.7660633775362-2.76606337753615
1161816.49072301098311.50927698901694
1171415.3737511233137-1.37375112331371
1181412.94953677274751.05046322725251
1191314.8282923636781-1.82829236367809
1201615.64529253793420.354707462065781
1211314.1871700324827-1.18717003248267
1221615.53913309244780.460866907552187
1231315.8667604704771-2.86676047047713
1241616.8699189653588-0.869918965358778
1251515.8089672803345-0.808967280334458
1261616.6676004622391-0.667600462239136
1271515.2900492552159-0.290049255215914
1281716.06839940883430.931600591165732
1291513.71513023110341.28486976889661
1301214.8198944883514-2.81989448835143
1311614.06756931197611.93243068802388
1321013.3074740709829-3.30747407098289
1331613.99363427562482.00636572437516
1341213.8184940738276-1.81849407382756
1351415.5271639654155-1.52716396541549
1361514.99027979928580.00972020071423856
1371312.12704848870980.872951511290203
1381514.24228735922590.757712640774068
1391113.0210617311734-2.02106173117335
1401213.1720242329367-1.17202423293669
141813.2540658929451-5.25406589294509
1421612.89126557155393.1087344284461
1431513.26165297704881.73834702295116
1441716.42121773929050.578782260709528
1451614.63957168872811.36042831127186
1461014.0051730584603-4.00517305846032
1471815.70238973353512.29761026646488
1481314.9765126660636-1.97651266606363
1491614.98664709293611.01335290706392
1501312.94860663698690.0513933630130955
1511012.975261839401-2.97526183940098
1521516.2150023293118-1.21500232931175
1531613.90404757272672.09595242727328
1541611.87804787253584.12195212746423
1551412.33301291325441.6669870867456
1561012.363751351291-2.36375135129104
1571716.56854176324550.431458236754478
1581311.49490448318911.50509551681088
1591513.59800172434251.40199827565752
1601614.87427730696451.12572269303551
1611212.4640100814574-0.464010081457368
1621312.42888686545550.571113134544478


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.7623832218167350.4752335563665310.237616778183265
130.6258186588868330.7483626822263340.374181341113167
140.4831857187462710.9663714374925420.516814281253729
150.3712768121271770.7425536242543530.628723187872824
160.3433827037342660.6867654074685330.656617296265734
170.2499404226399710.4998808452799430.750059577360029
180.3334345463106590.6668690926213180.666565453689341
190.2793381989983170.5586763979966340.720661801001683
200.2165265681979090.4330531363958170.783473431802091
210.1707346626365110.3414693252730220.829265337363489
220.1914452185131670.3828904370263330.808554781486833
230.3162132606279390.6324265212558780.683786739372061
240.3842416185059170.7684832370118340.615758381494083
250.3353048466369420.6706096932738830.664695153363058
260.2759096285866570.5518192571733140.724090371413343
270.2337859347339330.4675718694678650.766214065266067
280.3799934850791620.7599869701583250.620006514920838
290.3265831935963120.6531663871926250.673416806403688
300.4631982383965470.9263964767930950.536801761603453
310.4129223676966310.8258447353932620.587077632303369
320.3714824433643610.7429648867287230.628517556635639
330.3574204706242080.7148409412484170.642579529375792
340.3251890613249140.6503781226498270.674810938675086
350.279985074469580.5599701489391610.720014925530419
360.842697111876440.314605776247120.15730288812356
370.815919840665830.3681603186683410.18408015933417
380.8021602086900450.3956795826199090.197839791309955
390.826780840823720.346438318352560.17321915917628
400.8165976558038260.3668046883923480.183402344196174
410.7875011729562750.424997654087450.212498827043725
420.7606368097771570.4787263804456850.239363190222843
430.7881314335749230.4237371328501540.211868566425077
440.7468486113013020.5063027773973960.253151388698698
450.7179569484261080.5640861031477830.282043051573892
460.8686513040436590.2626973919126820.131348695956341
470.8981598115329770.2036803769340450.101840188467023
480.8751057589415180.2497884821169640.124894241058482
490.8669941830435230.2660116339129530.133005816956477
500.8624791976299780.2750416047400440.137520802370022
510.8343486371685540.3313027256628920.165651362831446
520.8029852873962070.3940294252075870.197014712603793
530.812516557702810.3749668845943790.18748344229719
540.7825544309490260.4348911381019470.217445569050974
550.7996700942831720.4006598114336570.200329905716828
560.7808261494797190.4383477010405630.219173850520281
570.7434890714161370.5130218571677260.256510928583863
580.7288840427188370.5422319145623260.271115957281163
590.6982279973943420.6035440052113160.301772002605658
600.7029940638588120.5940118722823770.297005936141188
610.6678676765056120.6642646469887750.332132323494388
620.6313526241854750.7372947516290490.368647375814525
630.5984519436006650.803096112798670.401548056399335
640.5545422643832740.8909154712334510.445457735616726
650.5164419180759480.9671161638481050.483558081924052
660.4887384781210760.9774769562421510.511261521878924
670.4871256446052740.9742512892105480.512874355394726
680.6323163324551990.7353673350896010.367683667544801
690.7421793741122650.5156412517754710.257820625887735
700.7094416334404090.5811167331191830.290558366559591
710.8145393436031110.3709213127937770.185460656396889
720.7841769285631680.4316461428736650.215823071436832
730.7779436074809010.4441127850381980.222056392519099
740.7612181728440850.477563654311830.238781827155915
750.7237060587407070.5525878825185870.276293941259293
760.7630220548657360.4739558902685280.236977945134264
770.7259790260624260.5480419478751480.274020973937574
780.7057626262866240.5884747474267530.294237373713376
790.7152921965098760.5694156069802490.284707803490124
800.6745793824656990.6508412350686020.325420617534301
810.6381693619746820.7236612760506360.361830638025318
820.7638292582195310.4723414835609380.236170741780469
830.7291982866913980.5416034266172040.270801713308602
840.6997846644621290.6004306710757420.300215335537871
850.6589920704120270.6820158591759460.341007929587973
860.646207452261270.7075850954774590.35379254773873
870.6024636453218360.7950727093563270.397536354678164
880.5604188567376080.8791622865247840.439581143262392
890.5373609533552440.9252780932895120.462639046644756
900.4984567341698460.9969134683396920.501543265830154
910.4874946907258380.9749893814516770.512505309274162
920.4450358800675160.8900717601350320.554964119932484
930.4013606293282860.8027212586565720.598639370671714
940.3579381099381620.7158762198763240.642061890061838
950.3815694928174730.7631389856349470.618430507182527
960.3448519371293440.6897038742586880.655148062870656
970.3038009206250930.6076018412501850.696199079374907
980.2969527792683280.5939055585366550.703047220731672
990.2564034978481270.5128069956962540.743596502151873
1000.2236258501030090.4472517002060180.776374149896991
1010.201684441978510.4033688839570210.79831555802149
1020.1830354822306710.3660709644613410.816964517769329
1030.223291091082210.446582182164420.77670890891779
1040.1892388861989020.3784777723978050.810761113801097
1050.1814911613151610.3629823226303210.818508838684839
1060.1928770799906660.3857541599813330.807122920009333
1070.1726555200147660.3453110400295310.827344479985234
1080.1526716302982470.3053432605964930.847328369701753
1090.1483318529391220.2966637058782440.851668147060878
1100.1437853288685740.2875706577371490.856214671131426
1110.1287746009020290.2575492018040570.871225399097971
1120.1084812048781740.2169624097563470.891518795121826
1130.1392777504774970.2785555009549950.860722249522503
1140.1277814267235080.2555628534470170.872218573276492
1150.1473779342944470.2947558685888940.852622065705553
1160.1503399012107340.3006798024214690.849660098789266
1170.1275942248830590.2551884497661180.872405775116941
1180.1251693915463380.2503387830926770.874830608453661
1190.1148648484665290.2297296969330580.885135151533471
1200.126938782026010.253877564052020.87306121797399
1210.10348504478480.2069700895695990.8965149552152
1220.09242717605609520.184854352112190.907572823943905
1230.09287395551565360.1857479110313070.907126044484346
1240.07256884449482490.145137688989650.927431155505175
1250.05638172413572120.1127634482714420.943618275864279
1260.04223022377083170.08446044754166350.957769776229168
1270.03069062740057780.06138125480115570.969309372599422
1280.02851459374703450.0570291874940690.971485406252966
1290.02872433595906050.0574486719181210.971275664040939
1300.02958690618698340.05917381237396690.970413093813017
1310.03041450997499960.06082901994999920.969585490025
1320.03351093411048440.06702186822096880.966489065889516
1330.07213271455639070.1442654291127810.927867285443609
1340.06707386790172980.134147735803460.93292613209827
1350.053847669362090.107695338724180.94615233063791
1360.04856029024231970.09712058048463930.95143970975768
1370.03404964351413930.06809928702827870.965950356485861
1380.03043183602278080.06086367204556160.969568163977219
1390.03378698285408740.06757396570817470.966213017145913
1400.02330111799985250.0466022359997050.976698882000148
1410.5675490594829150.864901881034170.432450940517085
1420.5074441203113660.9851117593772690.492555879688634
1430.4416405408502840.8832810817005680.558359459149716
1440.3497521812206150.699504362441230.650247818779385
1450.2648558675477340.5297117350954690.735144132452266
1460.2673520273870330.5347040547740650.732647972612967
1470.2971510644260520.5943021288521050.702848935573948
1480.6096257209591380.7807485580817240.390374279040862
1490.538191045257270.9236179094854590.46180895474273
1500.3720962514799760.7441925029599520.627903748520024


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level10.00719424460431655OK
10% type I error level120.0863309352517986OK