Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -1.16892826150712 -0.0807306287138021Depression[t] + 0.0453253788739521Belonging[t] + 0.0964153521063372Weighted_popularity[t] + 0.0772765190141471Parental_criticism[t] -0.0572765637003982Happiness[t] + 0.117596535487944FindingFriends[t] + 0.227711407897117KnowingPeople[t] + 0.34708334464486Liked[t] + 0.520075961070442Celebrity[t] -0.00640747869671336t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.168928261507122.523234-0.46330.6438680.321934
Depression-0.08073062871380210.063126-1.27890.2029840.101492
Belonging0.04532537887395210.0169622.67220.0083990.0042
Weighted_popularity0.09641535210633720.058111.65920.099240.04962
Parental_criticism0.07727651901414710.0646611.19510.2339990.117
Happiness-0.05727656370039820.085478-0.67010.5038760.251938
FindingFriends0.1175965354879440.0936611.25550.2112990.10565
KnowingPeople0.2277114078971170.0642943.54170.0005350.000268
Liked0.347083344644860.0938253.69930.0003060.000153
Celebrity0.5200759610704420.1584053.28320.0012860.000643
t-0.006407478696713360.003735-1.71560.0883660.044183


Multiple Linear Regression - Regression Statistics
Multiple R0.746865837404828
R-squared0.557808579082415
Adjusted R-squared0.527312619019133
F-TEST (value)18.2912286717622
F-TEST (DF numerator)10
F-TEST (DF denominator)145
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.01899776486645
Sum Squared Residuals591.071036307677


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.09808455897341.90191544102664
2129.334611107783792.66538889221621
31513.6510490549111.34895094508902
41212.1896344205315-0.189634420531492
51413.63672484024930.363275159750659
689.09557557624667-1.09557557624667
71112.1115572596557-1.11155725965572
8158.382285938569776.61771406143024
946.33579814388996-2.33579814388996
101310.65320241189012.34679758810994
111914.41939705850164.58060294149841
121011.3894752132707-1.38947521327073
131517.2926358827324-2.29263588273236
14613.187466644766-7.18746664476603
15712.1231023366937-5.12310233669369
161413.47322270244920.526777297550777
171614.36701722296211.6329827770379
181615.84998237932420.150017620675771
191415.2182109966908-1.21821099669079
201515.2172057096217-0.21720570962175
211414.5468136734371-0.546813673437087
221211.25794823023680.742051769763176
2398.988513743333510.0114862566664852
241211.57961856866130.420381431338652
251413.9095348552170.0904651447829506
261212.0679306250819-0.0679306250818924
271413.66451994956330.335480050436709
281011.2303635028932-1.23036350289317
291412.96037591440251.0396240855975
301616.038856051892-0.0388560518920175
31108.922069259730751.07793074026925
32810.7539999726585-2.75399997265848
331211.69681060737380.30318939262623
341111.0749796177072-0.0749796177071755
35810.3105726476984-2.31057264769841
361312.21359081735890.786409182641092
371110.01030467164840.989695328351577
38129.83227841331952.1677215866805
391615.21785582958420.782144170415826
401613.01537483981442.98462516018556
411313.9167692548379-0.916769254837923
421415.3107122591626-1.31071225916263
4355.59431254652437-0.594312546524371
441413.27958921076240.720410789237553
45138.958374404649554.04162559535045
461615.43600075314750.563999246852536
471414.6266103305611-0.626610330561148
481514.15374757047180.846252429528169
491513.33519556290631.66480443709368
501112.2372811627391-1.23728116273909
511513.68470209339671.31529790660325
521612.66602471464453.33397528535547
531313.3258405899626-0.325840589962623
541113.7029888671069-2.70298886710691
551213.9250133183881-1.92501331838815
561211.6098233369160.390176663083983
571013.451342229255-3.45134222925503
5889.04261103534925-1.04261103534925
5999.69310574143097-0.693105741430971
601212.045387994039-0.0453879940389717
611413.9106370572280.0893629427720447
621213.0083713397218-1.00837133972183
631110.97692213531350.0230778646865255
641413.49872552489020.501274475109799
65711.6308647176515-4.63086471765147
661613.99938574768012.00061425231988
671615.49005574093020.509944259069827
681112.2982409395182-1.29824093951819
691615.2870284919230.712971508076961
701314.4142657678109-1.4142657678109
711110.91153041303670.0884695869632988
721312.79854600577340.201453994226599
731414.2807110397621-0.280711039762121
741513.48445667863431.51554332136573
75109.292770560647790.707229439352215
761514.64656239869280.353437601307165
771112.9527797832399-1.95277978323991
781111.4043554773293-0.40435547732932
7968.45757353417261-2.45757353417261
80119.645374917711391.35462508228861
811211.63428523430250.365714765697493
821313.2443154760362-0.244315476036221
831212.6581126741542-0.658112674154231
84810.8160962310738-2.81609623107383
85910.7024135722567-1.70241357225673
861011.6212793989087-1.62127939890874
871613.24291455350252.75708544649748
881512.78266009976772.21733990023233
891413.52538035299060.474619647009403
901213.5699261701497-1.56992617014973
911210.23459942399181.76540057600822
92108.709363374215061.29063662578494
931211.44546726086040.554532739139586
9489.29247098996122-1.29247098996122
951614.03574408224371.96425591775626
96117.722977922127063.27702207787294
971211.44215238202690.557847617973136
98910.3074555378289-1.30745553782888
991411.44728733081412.55271266918589
1001514.31445495535950.685545044640456
101810.5692779610823-2.56927796108232
1021212.373175300765-0.373175300764953
1031010.4270650991506-0.42706509915059
1041614.78831280611371.21168719388628
1051714.20547645726082.79452354273925
106810.0343820261573-2.03438202615729
107910.7078936298132-1.70789362981318
108811.3302451431894-3.33024514318938
1091112.3481588429061-1.34815884290607
1101615.30804175209420.69195824790584
1111313.4300882747453-0.430088274745342
11257.92422944710671-2.92422944710671
1131512.7639954519712.23600454802897
1141513.86478852759561.13521147240442
1151211.40044047143280.599559528567214
1161211.45075099457120.549249005428757
1171615.73069356494480.269306435055161
1181212.4165342860829-0.416534286082865
1191011.7091963037699-1.70919630376992
1201210.66466371609731.33533628390266
12146.22150795113951-2.22150795113951
1221112.9228174382834-1.92281743828336
1231614.65573905637991.34426094362011
12478.76472456379762-1.76472456379762
125910.71615589177-1.71615589177001
1261410.79092939477733.2090706052227
127119.678507834945081.32149216505492
1281010.8792289215278-0.879228921527816
12968.48388602635172-2.48388602635172
1301412.8020205374761.19797946252395
1311110.86688871477920.133111285220822
132119.152723110309561.84727688969044
133913.8708137524157-4.8708137524157
1341611.35724879235754.64275120764247
13577.81813032982012-0.818130329820121
13688.78068323292848-0.78068323292848
137109.867390059925120.132609940074876
1381411.94695515947032.05304484052966
13999.60739523239862-0.60739523239862
1401312.29845509555510.701544904444911
141139.522030607301483.47796939269852
1421211.77003110047150.229968899528461
1431112.56425405171-1.56425405170999
1441014.9395072859872-4.93950728598721
1451211.92877477547560.0712252245243581
1461413.28388009096990.71611990903015
1471113.3075729058824-2.30757290588238
1481310.98743024333922.01256975666079
1491413.52239996856670.477600031433273
1501312.55573089653280.444269103467224
1511615.96681135750490.0331886424950528
1521312.07869782090330.921302179096672
1531211.2563232429470.743676757053048
15499.15504321665876-0.155043216658764
1551411.20378933925442.7962106607456
1561514.57561242141920.424387578580834


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
140.9997492612568940.0005014774862120820.000250738743106041
150.999897136847380.000205726305240520.00010286315262026
160.9998951477071390.0002097045857227910.000104852292861396
170.9998315700222490.0003368599555028130.000168429977751407
180.9998796455022720.0002407089954564890.000120354497728244
190.9997378545297440.0005242909405124810.00026214547025624
200.9995654370285150.000869125942969170.000434562971484585
210.999137460356580.001725079286839470.000862539643419733
220.999452924095780.00109415180844060.000547075904220301
230.9992083203828090.001583359234381850.000791679617190925
240.9985830162137010.002833967572597910.00141698378629896
250.9976450218883550.00470995622328940.0023549781116447
260.9960943352579950.007811329484010860.00390566474200543
270.995320812576780.00935837484643940.0046791874232197
280.9926112195267690.01477756094646260.00738878047323132
290.9954354374067310.009129125186537410.0045645625932687
300.9942476637566470.01150467248670660.0057523362433533
310.9914964421529550.01700711569409030.00850355784704514
320.9954311589920260.009137682015948550.00456884100797427
330.9932089017751560.01358219644968720.00679109822484358
340.9899418917989390.02011621640212190.0100581082010609
350.9885356329761390.02292873404772260.0114643670238613
360.9839023346807050.03219533063858920.0160976653192946
370.9805971214720980.03880575705580380.0194028785279019
380.9824818204152470.03503635916950610.017518179584753
390.9812120621090440.03757587578191130.0187879378909557
400.9867396987244780.02652060255104320.0132603012755216
410.9823696646598140.03526067068037190.0176303353401859
420.976205184821190.047589630357620.02379481517881
430.9678150684793230.06436986304135360.0321849315206768
440.9602667505273680.0794664989452640.039733249472632
450.989203529823550.02159294035290010.01079647017645
460.9854827407696040.0290345184607930.0145172592303965
470.9805813563355850.03883728732883090.0194186436644155
480.9751229755244260.04975404895114770.0248770244755738
490.9720529445409580.05589411091808390.0279470554590419
500.9675090998195370.06498180036092510.0324909001804625
510.9635855328752970.0728289342494060.036414467124703
520.9775419898325130.04491602033497370.0224580101674869
530.9702407884678590.05951842306428280.0297592115321414
540.9712801644903890.05743967101922290.0287198355096115
550.9679156955536210.06416860889275880.0320843044463794
560.9593089862514420.08138202749711650.0406910137485582
570.9718415897918080.05631682041638310.0281584102081915
580.9645182704996930.07096345900061430.0354817295003071
590.9540984762727360.09180304745452730.0459015237272636
600.9415396066020830.1169207867958340.0584603933979171
610.9272512266280620.1454975467438760.072748773371938
620.9124334765069090.1751330469861820.087566523493091
630.8918937967409010.2162124065181970.108106203259099
640.8761863779879960.2476272440240080.123813622012004
650.93509498119810.12981003760380.0649050188019
660.9414434120754380.1171131758491230.0585565879245615
670.928401953629120.143196092741760.0715980463708799
680.9163987282966980.1672025434066040.0836012717033019
690.9000105078924780.1999789842150440.0999894921075221
700.8873821522202740.2252356955594520.112617847779726
710.8649266577201260.2701466845597480.135073342279874
720.8392516056700320.3214967886599350.160748394329968
730.8238246260399710.3523507479200570.176175373960029
740.8172288642915420.3655422714169150.182771135708458
750.7936048529359530.4127902941280940.206395147064047
760.7609771100858490.4780457798283010.239022889914151
770.7510137525773920.4979724948452160.248986247422608
780.7107362792671430.5785274414657150.289263720732857
790.7152341394659130.5695317210681740.284765860534087
800.7011333650869890.5977332698260230.298866634913011
810.6644571489291570.6710857021416850.335542851070843
820.6217935672504750.7564128654990490.378206432749525
830.5746544625480010.8506910749039970.425345537451999
840.5968753401092130.8062493197815730.403124659890787
850.5780599061909940.8438801876180130.421940093809006
860.5545419791813780.8909160416372430.445458020818622
870.5971582603009790.8056834793980420.402841739699021
880.6252310135678020.7495379728643960.374768986432198
890.5912221789544480.8175556420911040.408777821045552
900.5718954488561890.8562091022876220.428104551143811
910.5641121564393510.8717756871212980.435887843560649
920.5372589310704550.925482137859090.462741068929545
930.4938645032188870.9877290064377740.506135496781113
940.4751315789452450.950263157890490.524868421054755
950.4901708993316510.9803417986633020.509829100668349
960.63433053850410.73133892299180.3656694614959
970.590805468357350.81838906328530.40919453164265
980.5557193654086350.8885612691827310.444280634591365
990.6135686294146040.7728627411707920.386431370585396
1000.5845495580907640.8309008838184720.415450441909236
1010.5983612438312650.8032775123374690.401638756168735
1020.5514689781239760.8970620437520470.448531021876024
1030.5014317908163590.9971364183672820.498568209183641
1040.509095427668290.981809144663420.49090457233171
1050.5666181835178960.8667636329642080.433381816482104
1060.5669412906700470.8661174186599070.433058709329953
1070.5265533044676240.9468933910647510.473446695532376
1080.6113309046650180.7773381906699650.388669095334982
1090.592419206520890.815161586958220.40758079347911
1100.5493061972848160.9013876054303680.450693802715184
1110.4939868535680090.9879737071360180.506013146431991
1120.6451668519738170.7096662960523660.354833148026183
1130.6595099309755260.6809801380489480.340490069024474
1140.6518289861665060.6963420276669880.348171013833494
1150.598986485998670.8020270280026590.40101351400133
1160.5614663665922060.8770672668155890.438533633407794
1170.5184822119699760.9630355760600470.481517788030024
1180.5057864211651750.988427157669650.494213578834825
1190.5265866491714050.9468267016571890.473413350828595
1200.4719280996890090.9438561993780180.528071900310991
1210.446656039848590.893312079697180.55334396015141
1220.4062971632009450.8125943264018910.593702836799055
1230.4513333974960030.9026667949920060.548666602503997
1240.4109431067698680.8218862135397360.589056893230132
1250.4445165454474130.8890330908948270.555483454552587
1260.4640486629798170.9280973259596340.535951337020183
1270.4522297360553760.9044594721107520.547770263944624
1280.3826198011587810.7652396023175620.617380198841219
1290.6069338593179050.7861322813641910.393066140682095
1300.7167583950213690.5664832099572610.283241604978631
1310.7712682568877770.4574634862244460.228731743112223
1320.8290645162296210.3418709675407580.170935483770379
1330.8068867699170460.3862264601659080.193113230082954
1340.8620868893475240.2758262213049510.137913110652476
1350.8029249787245340.3941500425509320.197075021275466
1360.7477576402932160.5044847194135680.252242359706784
1370.8073846023370440.3852307953259110.192615397662956
1380.748551388071170.5028972238576610.25144861192883
1390.644129329121650.71174134175670.35587067087835
1400.5136510207734950.9726979584530090.486348979226505
1410.4818939207945280.9637878415890550.518106079205472
1420.3364232238923890.6728464477847780.663576776107611


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level160.124031007751938NOK
5% type I error level340.263565891472868NOK
10% type I error level460.356589147286822NOK