Multiple Linear Regression - Estimated Regression Equation
(1-B)Happiness[t] = + 5.30510914451663e-05 + 0.0740296120432005`(1-B)Learning`[t] + 0.0262250382991394`(1-B)Connected`[t] -0.350592682427525`(1-B)Depression`[t] + 0.0360877982550878`(1-B)Belonging `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.30510914451663e-050.2197412e-040.9998080.499904
`(1-B)Learning`0.07402961204320050.0746140.99220.3226510.161325
`(1-B)Connected`0.02622503829913940.0480290.5460.5858250.292913
`(1-B)Depression`-0.3505926824275250.053257-6.583100
`(1-B)Belonging `0.03608779825508780.0149182.41910.0167080.008354


Multiple Linear Regression - Regression Statistics
Multiple R0.563612578764377
R-squared0.31765913894143
Adjusted R-squared0.300163219427108
F-TEST (value)18.156184285221
F-TEST (DF numerator)4
F-TEST (DF denominator)156
p-value2.90634183386373e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.78792666271206
Sum Squared Residuals1212.51547195908


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
141.711181835468192.28881816453181
2-7-1.78741746985554-5.21258253014446
310.4674328043279190.532567195672081
44-2.825845403606276.82584540360627
523.17975821570528-1.17975821570528
6-4-3.85899090410523-0.141009095894765
704.40369947101309-4.40369947101309
810.1125394085435220.887460591456478
90-0.8792947493386130.879294749338613
1021.260349143481620.739650856518378
112-0.2534066170289792.25340661702898
12-9-1.93250427198681-7.06749572801319
136-0.09227060549803136.09227060549803
1422.5100005054678-0.510000505467803
15-4-2.62314809040174-1.37685190959826
1600.718445774624495-0.718445774624495
1731.943570612504441.05642938749556
18-3-0.637295610390397-2.3627043896096
192-1.635974076157123.63597407615712
2022.42839932995238-0.428399329952383
21-7-2.40814516769019-4.59185483230981
2230.6278983828979832.37210161710202
23-2-0.90349562998131-1.09650437001869
2452.260944734668132.73905526533187
25-80.537161703014243-8.53716170301424
267-1.050638310322858.05063831032285
27-2-1.80763699334489-0.192363006655113
2810.749465529857960.25053447014204
29-4-0.168154233074258-3.83184576692574
3051.866919655263473.13308034473653
31-3-3.368774787432140.368774787432144
3242.776818640643361.22318135935664
33-20.187985855169044-2.18798585516904
34-1-1.210069520400880.210069520400883
3521.074095707563120.925904292436877
36-7-4.35234780284737-2.64765219715263
3763.573190612819122.42680938718088
3820.8461613632143581.15383863678564
39-4-0.0952113068993317-3.90478869310067
4020.5835348013926871.41646519860731
411-1.943556901774912.94355690177491
4201.89484320775551-1.89484320775551
43-4-2.6985314271405-1.3014685728595
4401.74399878360793-1.74399878360793
45-1-0.985533986447433-0.0144660135525667
4641.542474260465022.45752573953498
470-0.3973499106652230.397349910665223
482-1.285700749933123.28570074993312
49-41.34290243156851-5.34290243156851
5030.2330913330452712.76690866695473
51-2-1.73081589398049-0.269184106019507
52-3-1.69472809572541-1.30527190427459
5311.71490450731754-0.714904507317538
5400.517261535728424-0.517261535728424
5530.6198749976917612.38012500230824
561-0.2222059271615751.22220592716157
57-10.887558810024535-1.88755881002454
58-30.00175785254436223-3.00175785254436
590-1.839594220366521.83959422036652
60-4-2.79364657105117-1.20635342894883
6154.176820423199670.823179576800334
62-2-0.104847102105112-1.89515289789489
633-1.830061609124624.83006160912462
6410.6495556690129650.350444330987035
65-51.73977582092112-6.73977582092112
661-2.508477568702593.50847756870259
6711.84828082121985-0.848280821219846
683-0.9195699414539063.91956994145391
6900.0572054531706917-0.0572054531706917
70-1-0.0870324203529905-0.912967579647009
712-1.057730511000923.05773051100092
72-12.05040253190408-3.05040253190408
7300.723677672509524-0.723677672509524
74-2-0.0621820347927218-1.93781796520728
75-1-2.743884797810211.74388479781021
7651.616251474464243.38374852553576
77-4-1.51708059177116-2.48291940822884
7821.311687100917810.688312899082193
79-21.03051860175638-3.03051860175638
8020.09616248941703211.90383751058297
811-1.016637779610972.01663777961097
82-11.48167693720649-2.48167693720649
831-1.001128935125872.00112893512587
84-1-0.16715993865934-0.83284006134066
85-1-0.0698459897183009-0.930154010281699
861-0.08905657800943411.08905657800943
87-10.151052976579147-1.15105297657915
88-1-1.6979421232140.697942123214003
89-6-1.84582041266647-4.15417958733353
90102.989111674976557.01088832502345
91-4-0.885527228898571-3.11447277110143
9221.431003125471170.568996874528828
93-1-0.673398049428785-0.326601950571215
94-11.45410652773507-2.45410652773507
9530.1337995877849172.86620041221508
96-4-2.20232621845042-1.79767378154958
9722.02535657092658-0.0253565709265791
9830.1607665224549872.83923347754501
99-2-0.108977673338568-1.89102232666143
10020.3054625049726831.69453749502732
101-5-2.23799147653811-2.76200852346189
10242.105370769736261.89462923026374
103-5-0.810070646740258-4.18992935325974
1044-1.18351433338775.1835143333877
105-6-1.48720434503272-4.51279565496728
10673.337165268126873.66283473187313
107-1-1.92870384946740.928703849467399
108-5-0.393972028313219-4.60602797168678
1090-3.55652665687583.5565266568758
11054.760333562833840.23966643716616
111-4-0.613016979077642-3.38698302092236
11222.00790760671511-0.00790760671511212
1131-3.502826039545844.50282603954584
11442.480263011519851.51973698848015
115-21.50629407075658-3.50629407075658
116-2-2.958145824150820.958145824150821
11700.954275543899513-0.954275543899513
11801.26608133220412-1.26608133220412
1190-0.9924452524915610.992445252491561
120-2-1.65232171371701-0.347678286282987
12121.314216054662220.685783945337777
12211.48245890765453-0.482458907654535
12300.778553518888341-0.778553518888341
1240-1.338918156196151.33891815619615
125-20.238159376066893-2.23815937606689
12641.58456757352992.4154324264701
1270-0.999352670262910.99935267026291
1282-0.53445968892742.5344596889274
129-4-1.19556125759072-2.80443874240928
130-20.882593950966791-2.88259395096679
131-4-3.88479790748748-0.115202092512524
13264.661823788021531.33817621197847
1330-2.823007886168852.82300788616885
13401.7869308897476-1.7869308897476
1351-0.4695255071753991.4695255071754
136-5-4.41869881918169-0.581301180818308
13733.78558683111619-0.785586831116194
138-3-1.42694109942875-1.57305890057125
13942.319049249318841.68095075068116
140-2-0.571119241430001-1.42888075857
14120.7783833767649221.22161662323508
1421-0.44616341960751.4461634196075
143-20.921473236543071-2.92147323654307
1441-0.3725417069484061.37254170694841
14510.5755469850130750.424453014986925
1460-0.4372444186997310.437244418699731
147-5-1.19319231043693-3.80680768956307
14811.35974407270585-0.359744072705855
149-3-3.020277726071110.0202777260711108
15072.743841685912994.25615831408701
151-3-1.49438893716414-1.50561106283586
15232.380321430121030.619678569878974
153-4-0.989412159636902-3.0105878403631
154-3-2.71041834475289-0.289581655247108
15540.3268673930436793.67313260695632
15600.782606339451736-0.782606339451736
15710.4909441059759260.509055894024074
15851.659168939820613.34083106017939
159-60.909756461054098-6.9097564610541
160-1-3.503849615527362.50384961552736
16110.2864011307616580.713598869238342
1623NANA


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.2770211120287380.5540422240574770.722978887971262
90.1547616899375530.3095233798751070.845238310062447
100.09644961277801290.1928992255560260.903550387221987
110.4771675222088940.9543350444177880.522832477791106
120.979330593627610.041338812744780.02066940637239
130.9916862110070650.01662757798586980.00831378899293488
140.9884178311953280.02316433760934490.0115821688046725
150.9811672564558240.03766548708835190.018832743544176
160.9761976990725520.04760460185489670.0238023009274483
170.9627781885707510.07444362285849880.0372218114292494
180.9580505870015360.08389882599692770.0419494129984638
190.9792896930493970.04142061390120580.0207103069506029
200.9684910591636530.06301788167269440.0315089408363472
210.9800335429418170.03993291411636660.0199664570581833
220.9716608335427610.05667833291447790.0283391664572389
230.959384475690720.081231048618560.04061552430928
240.9529318579754450.09413628404911020.0470681420245551
250.9971244042651650.00575119146967030.00287559573483515
260.9998885277613340.0002229444773311960.000111472238665598
270.9998026385784430.000394722843113890.000197361421556945
280.9996599770886560.0006800458226886010.0003400229113443
290.9997166326709320.00056673465813510.00028336732906755
300.999717340205490.0005653195890204180.000282659794510209
310.9995387259056440.0009225481887125620.000461274094356281
320.9992828228566780.001434354286643770.000717177143321887
330.9991198794148090.001760241170382040.00088012058519102
340.9986147268366470.002770546326706180.00138527316335309
350.9980079660384390.003984067923121570.00199203396156079
360.9977527349101570.004494530179685640.00224726508984282
370.99719655006980.005606899860400490.00280344993020024
380.9961288110693370.007742377861325010.00387118893066251
390.9971141724503480.005771655099304120.00288582754965206
400.9960634681894010.007873063621197130.00393653181059857
410.9961068346663570.007786330667285350.00389316533364267
420.995019568830580.009960862338840310.00498043116942016
430.9933018145436820.01339637091263640.0066981854563182
440.991710874150290.01657825169941910.00828912584970953
450.9883789520910650.02324209581787080.0116210479089354
460.9871204032600540.0257591934798920.012879596739946
470.9824045703598140.03519085928037160.0175954296401858
480.9835406862676670.03291862746466530.0164593137323326
490.9919675924725560.01606481505488780.00803240752744388
500.9915072935707610.01698541285847860.0084927064292393
510.9882521597427490.02349568051450270.0117478402572514
520.9847676599921090.03046468001578160.0152323400078908
530.97995116373820.04009767252359990.0200488362617999
540.9735804008484430.05283919830311380.0264195991515569
550.9703992540040640.05920149199187250.0296007459959363
560.9630051685197210.07398966296055880.0369948314802794
570.9570774156779960.08584516864400850.0429225843220042
580.9575064740362320.08498705192753540.0424935259637677
590.9506016978605040.09879660427899140.0493983021394957
600.9392893863024910.1214212273950180.060710613697509
610.9248313822128480.1503372355743030.0751686177871516
620.9152162878176530.1695674243646940.084783712182347
630.9466486788169010.1067026423661990.0533513211830993
640.9328582937374330.1342834125251340.0671417062625668
650.9789867758584120.04202644828317670.0210132241415883
660.9819285640474990.03614287190500260.0180714359525013
670.9767604026585830.04647919468283360.0232395973414168
680.9822662475487790.03546750490244260.0177337524512213
690.9765325939841910.04693481203161830.0234674060158091
700.9702631033092680.05947379338146480.0297368966907324
710.9718854191796840.05622916164063290.0281145808203165
720.9728547614094590.05429047718108170.0271452385905409
730.9655072526281360.06898549474372710.0344927473718636
740.9604077186306260.07918456273874760.0395922813693738
750.9547151257669510.09056974846609860.0452848742330493
760.9585258885898810.08294822282023770.0414741114101188
770.9558246029238960.08835079415220830.0441753970761042
780.945007805882270.1099843882354590.0549921941177296
790.948473836174990.103052327650020.0515261638250102
800.9420263692910240.1159472614179530.0579736307089764
810.9367675696259850.126464860748030.063232430374015
820.9381546904850330.1236906190299340.0618453095149669
830.9312080093012110.1375839813975780.0687919906987888
840.916126351750240.167747296499520.0838736482497601
850.8989647676802860.2020704646394270.101035232319714
860.8803325796573070.2393348406853850.119667420342693
870.8596853643536620.2806292712926760.140314635646338
880.835164258738380.329671482523240.16483574126162
890.8705752041987080.2588495916025830.129424795801292
900.9609327036309230.07813459273815430.0390672963690772
910.9622230551461680.07555388970766420.0377769448538321
920.9519097562356940.09618048752861280.0480902437643064
930.9392229319067430.1215541361865140.060777068093257
940.9354204029469330.1291591941061350.0645795970530674
950.9373601277220010.1252797445559980.0626398722779988
960.9280824383786120.1438351232427750.0719175616213877
970.9101590259754310.1796819480491380.0898409740245689
980.9111198421068580.1777603157862840.0888801578931421
990.9003538741382290.1992922517235420.0996461258617711
1000.8878714003408160.2242571993183670.112128599659184
1010.8895103707433620.2209792585132760.110489629256638
1020.8763531957910730.2472936084178550.123646804208928
1030.9054683107287760.1890633785424490.0945316892712243
1040.94814031660110.1037193667977990.0518596833988997
1050.9675195657587360.0649608684825290.0324804342412645
1060.9763177049456280.04736459010874390.0236822950543719
1070.9693360840002880.06132783199942460.0306639159997123
1080.9832250047005830.03354999059883390.016774995299417
1090.9873774889208140.02524502215837190.012622511079186
1100.9825988942589460.03480221148210810.017401105741054
1110.9856967897279290.02860642054414280.0143032102720714
1120.9801265883169810.03974682336603710.0198734116830185
1130.9921155276688440.01576894466231160.00788447233115581
1140.9892217396883330.02155652062333350.0107782603116667
1150.9921015648812450.01579687023751070.00789843511875533
1160.9900642501841280.01987149963174480.00993574981587241
1170.9872187154778620.02556256904427630.0127812845221382
1180.9837519806820890.03249603863582230.0162480193179112
1190.9782217916316070.04355641673678660.0217782083683933
1200.9698595479714860.06028090405702860.0301404520285143
1210.9589025812304460.08219483753910780.0410974187695539
1220.9456270514528180.1087458970943640.0543729485471818
1230.9283237524195670.1433524951608660.071676247580433
1240.9114350939894080.1771298120211840.088564906010592
1250.9104813365455690.1790373269088620.0895186634544308
1260.9070316363315790.1859367273368420.0929683636684209
1270.9006523527441370.1986952945117260.0993476472558631
1280.8803213252770270.2393573494459470.119678674722973
1290.8725336794446270.2549326411107470.127466320555373
1300.8848859002208190.2302281995583620.115114099779181
1310.8503011683851730.2993976632296550.149698831614827
1320.8314668531813370.3370662936373250.168533146818663
1330.8133226509647360.3733546980705270.186677349035264
1340.779360403734640.441279192530720.22063959626536
1350.7326877031365210.5346245937269580.267312296863479
1360.6797139988948070.6405720022103850.320286001105193
1370.632965196666170.7340696066676590.36703480333383
1380.5764518094206260.8470963811587490.423548190579374
1390.5176678378871030.9646643242257950.482332162112897
1400.4836130134378150.967226026875630.516386986562185
1410.4671931529497840.9343863058995680.532806847050216
1420.39192801692850.7838560338570.6080719830715
1430.3946203741462710.7892407482925430.605379625853729
1440.3439761453001740.6879522906003480.656023854699826
1450.2686402074849560.5372804149699110.731359792515044
1460.2118734149215920.4237468298431830.788126585078408
1470.2900969757836870.5801939515673740.709903024216313
1480.2157713305036820.4315426610073630.784228669496318
1490.1497068174842630.2994136349685270.850293182515737
1500.1251777479866380.2503554959732760.874822252013362
1510.07672209359273140.1534441871854630.923277906407269
1520.046304133302650.09260826660530010.95369586669735
1530.03068070938504170.06136141877008340.969319290614958
1540.01256824456463510.02513648912927020.987431755435365


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level180.122448979591837NOK
5% type I error level550.374149659863946NOK
10% type I error level840.571428571428571NOK