Multiple Linear Regression - Estimated Regression Equation
aantalVrienden[t] = + 1.23744674639409 + 0.0963613878771712Popularity[t] -0.0644187764141667FindingFriends[t] + 0.128803686232339KnowingPeople[t] -0.0747737175493632Liked[t] + 0.0387444743481176`Celebrity `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.237446746394090.9528711.29870.1960560.098028
Popularity0.09636138787717120.0544041.77120.0785540.039277
FindingFriends-0.06441877641416670.064356-1.0010.3184510.159225
KnowingPeople0.1288036862323390.0431212.9870.0032910.001646
Liked-0.07477371754936320.067234-1.11210.2678560.133928
`Celebrity `0.03874447434811760.1097490.3530.7245630.362281


Multiple Linear Regression - Regression Statistics
Multiple R0.404565543716048
R-squared0.163673279162262
Adjusted R-squared0.135795721801004
F-TEST (value)5.8711485027638
F-TEST (DF numerator)5
F-TEST (DF denominator)150
p-value5.51936533799147e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.40758944238227
Sum Squared Residuals297.196205745903


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
122.60012739756854-0.600127397568545
211.87285161740772-0.872851617407716
302.62041140049695-2.62041140049695
432.050822452315360.94917754768464
532.216121202045110.783878797954886
611.74133270002851-0.741332700028511
732.870311329781310.129688670218689
812.08098147322383-1.08098147322383
942.532155542904271.46784445709573
1002.16574591140021-2.16574591140021
1133.22182191108718-0.221821911087177
1222.27641948012504-0.276419480125044
1343.406331482410830.593668517589166
1431.813451113324131.18654888667587
1511.55759346481799-0.557593464817993
1612.53131162144285-1.53131162144285
1722.18005809224787-0.180058092247873
1832.846042294902630.153957705097374
1911.87609432768454-0.87609432768454
2011.85638381919847-0.856383819198472
2121.724709449496360.275290550503643
2232.927118188444940.0728818115550605
2342.966855962219171.03314403778083
2421.854850891925990.145149108074011
2513.00594467113655-2.00594467113655
2623.20001105524447-1.20001105524447
2722.47775354741425-0.47775354741425
2842.924936510786231.07506348921377
2922.89926220872018-0.899262208720176
3032.144778977018920.855221022981077
3132.433174671511920.566825328488078
3232.852000236326320.147999763673682
3342.76633802415361.23366197584640
3421.995420860839100.00457913916090297
3522.08098147322383-0.0809814732238296
3643.242342474438670.75765752556133
3732.019656029121790.980343970878213
3842.301317593921661.69868240607834
3922.84519837344121-0.845198373441206
4053.206313231237421.79368676876258
4132.748337298671870.251662701328128
4212.04083953798721-1.04083953798721
4311.00235034187815-0.00235034187814842
4411.84546145797912-0.845461457979123
4521.954427197842190.0455728021578049
4632.969449607639140.0305503923608648
4793.245929419284755.75407058071525
4801.46802786546773-1.46802786546773
4902.16340097511973-2.16340097511973
5022.81406581684363-0.814065816843627
5121.332462257304480.667537742695522
5232.577857332460400.422142667539595
5312.31329264478771-1.31329264478771
5421.448661591550920.551338408449084
5502.64517404790959-2.64517404790959
5652.710092511215922.28990748878408
5722.52099054690365-0.520990546903648
5843.296406309717640.70359369028236
5931.543651356634801.45634864336520
6003.09466634902540-3.09466634902540
6101.38832944687499-1.38832944687499
6243.252697415573870.747302584426133
6313.78918946285777-2.78918946285777
6412.98473510197399-1.98473510197399
6541.594190128103392.40580987189661
6622.70959282432375-0.709592824323754
6742.79163422505441.20836577494560
6811.91518303660192-0.915183036601915
6942.844698686549041.15530131345096
7021.036225921860390.963774078139615
7152.999176674847432.00082332515257
7242.613231436446581.38676856355342
7342.152546347092371.84745365290763
7442.675474609560241.32452539043976
7542.555648389513521.44435161048648
7632.813221895382210.186778104617794
7732.656028675936950.343971324063053
7832.774545154226080.225454845773921
7921.952056201264580.0479437987354192
8011.07038992973439-0.0703899297343883
8111.29827023499077-0.29827023499077
8253.209623674706241.79037632529376
8342.588434922437951.41156507756205
8422.27015117072809-0.270151170728089
8531.580086715441001.41991328455900
8622.43716577782039-0.437165777820387
8721.833762908490340.166237091509656
8822.43180912307684-0.431809123076842
8923.06222405067023-1.06222405067023
9031.909380547501131.09061945249887
9122.20202386374093-0.202023863740933
9232.277763088478630.722236911521373
9343.141894454823260.858105545176742
9433.35994729807439-0.359947298074392
9532.398455170068260.601544829931735
9601.79093180240399-1.79093180240399
9711.33302967738863-0.333029677388631
9821.441015807204380.558984192795617
9922.65744001748252-0.65744001748252
10032.394368538330020.605631461669977
10143.335116917469760.664883082530237
10243.087864486140280.912135513859718
10312.76084590302608-1.76084590302608
10421.441427774965630.558572225034369
10520.8236710518930651.17632894810694
10632.150675259608830.849324740391165
10732.021527116605320.97847288339468
10832.998304961148220.00169503885177585
10911.72158832494645-0.721588324946446
11011.75001172475536-0.750011724755362
11112.34576880973887-1.34576880973887
11213.10964147538699-2.10964147538699
11301.68643101764633-1.68643101764633
11412.59878986357315-1.59878986357315
11532.530318322016730.469681677983268
11633.05950881952336-0.0595088195233563
11702.99509004310919-2.99509004310919
11821.590913551230580.409086448769424
11952.931170953587192.06882904641281
12022.68123715770683-0.681237157706828
12132.349321887988960.650678112011044
12233.2351963769843-0.235196376984300
12351.716657771746783.28334222825322
12442.770390789295851.22960921070415
12543.123893729341530.876106270658472
12601.54047052739368-1.54047052739368
12732.92303155670670.0769684432933017
12802.81322189538221-2.81322189538221
12922.21699899010253-0.216998990102528
13001.73624723117849-1.73624723117849
13162.92303155670673.0769684432933
13232.780313776730870.219686223269129
13311.41706321465717-0.41706321465717
13462.180402326817133.81959767318287
13522.76992496899968-0.76992496899968
13611.96291082929194-0.96291082929194
13732.995589730001350.00441026999864769
13812.03234787803668-1.03234787803668
13923.33820417542368-1.33820417542368
14042.699737570080721.30026242991928
14112.92895540933248-1.92895540933248
14222.70600587947768-0.706005879477676
14302.67169227143706-2.67169227143706
14452.358522539689472.64147746031053
14522.09171451552428-0.0917145155242786
14611.13923979465797-0.139239794657973
14711.41263234834967-0.412632348349671
14842.277695355286641.72230464471336
14933.22075480411086-0.220754804110862
15002.74019790179138-2.74019790179138
15132.626335475324650.373664524675354
15233.01309076859092-0.0130907685909193
15301.81301915962396-1.81301915962396
15422.59882373016914-0.598823730169140
15553.016333478867741.98366652113226
15622.13267431192519-0.132674311925186


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.8234240773885430.3531518452229130.176575922611457
100.7795588050183980.4408823899632040.220441194981602
110.6690695529090640.6618608941818730.330930447090936
120.5670464128136740.8659071743726520.432953587186326
130.4790198657162550.958039731432510.520980134283745
140.3747561545706110.7495123091412220.625243845429389
150.2877050197896960.5754100395793920.712294980210304
160.3467360427034640.6934720854069290.653263957296536
170.270953208171010.541906416342020.72904679182899
180.2061739825559630.4123479651119260.793826017444037
190.1511275945752100.3022551891504210.84887240542479
200.1111744523983030.2223489047966070.888825547601697
210.1205110460243510.2410220920487020.87948895397565
220.0866829725952140.1733659451904280.913317027404786
230.07218587956100020.1443717591220000.927814120439
240.05661156560293180.1132231312058640.943388434397068
250.09224208311513720.1844841662302740.907757916884863
260.07901472124474040.1580294424894810.92098527875526
270.06084052451975840.1216810490395170.939159475480242
280.0701610262516310.1403220525032620.929838973748369
290.05304310826281180.1060862165256240.946956891737188
300.05667703408679320.1133540681735860.943322965913207
310.04823508415471620.09647016830943250.951764915845284
320.03543390889850670.07086781779701350.964566091101493
330.03836160782563090.07672321565126170.961638392174369
340.02799494126410240.05598988252820480.972005058735898
350.01918433142708020.03836866285416030.98081566857292
360.01515721319552140.03031442639104280.984842786804479
370.01391719025082640.02783438050165280.986082809749174
380.02267547150108250.04535094300216510.977324528498917
390.0182697023964860.0365394047929720.981730297603514
400.02495050614538370.04990101229076750.975049493854616
410.01763490380506220.03526980761012440.982365096194938
420.01434287491638640.02868574983277290.985657125083613
430.009890614703985320.01978122940797060.990109385296015
440.007506627625004990.015013255250010.992493372374995
450.005032721343297130.01006544268659430.994967278656703
460.003314256603173170.006628513206346330.996685743396827
470.2800933986491870.5601867972983730.719906601350813
480.2731143279125380.5462286558250760.726885672087462
490.3190137432875470.6380274865750950.680986256712453
500.2948679267112490.5897358534224980.705132073288751
510.2797539253152520.5595078506305040.720246074684748
520.2507411730732870.5014823461465730.749258826926713
530.2445736892965390.4891473785930790.75542631070346
540.2240776697030870.4481553394061750.775922330296913
550.3431982775513880.6863965551027760.656801722448612
560.4162537384841220.8325074769682430.583746261515878
570.3741676608648890.7483353217297780.625832339135111
580.3363265065809660.6726530131619320.663673493419034
590.3474139741496470.6948279482992930.652586025850353
600.5290185109727930.9419629780544150.470981489027207
610.5222154716123160.9555690567753680.477784528387684
620.4844773902128550.968954780425710.515522609787145
630.6272234913279320.7455530173441370.372776508672069
640.6706990946556750.6586018106886510.329300905344325
650.7498086714041050.500382657191790.250191328595895
660.7192854454245930.5614291091508130.280714554575407
670.7118840754235490.5762318491529010.288115924576451
680.685822660170540.628354679658920.31417733982946
690.6726053475628280.6547893048743440.327394652437172
700.6524468057048550.695106388590290.347553194295145
710.6928008456121820.6143983087756360.307199154387818
720.6894795210648060.6210409578703880.310520478935194
730.7155179030802080.5689641938395830.284482096919792
740.7108912070354440.5782175859291110.289108792964556
750.7121237382969760.5757525234060490.287876261703024
760.6711192680698920.6577614638602160.328880731930108
770.629380140314760.741239719370480.37061985968524
780.5864628351939430.8270743296121150.413537164806057
790.5404124611090370.9191750777819260.459587538890963
800.4936090071913210.9872180143826430.506390992808679
810.4496230485460830.8992460970921660.550376951453917
820.4967508773990500.9935017547981010.503249122600950
830.4998819603016220.9997639206032440.500118039698378
840.4540130427517270.9080260855034540.545986957248273
850.4588314245952880.9176628491905770.541168575404712
860.420489465580420.840978931160840.57951053441958
870.3751060163836930.7502120327673870.624893983616307
880.3398153125833160.6796306251666320.660184687416684
890.3176052707956980.6352105415913950.682394729204302
900.3013755320358610.6027510640717230.698624467964139
910.2621909766408370.5243819532816730.737809023359163
920.2319253353302220.4638506706604440.768074664669778
930.2101346374983600.4202692749967210.78986536250164
940.1786994602479860.3573989204959710.821300539752014
950.1549622153582590.3099244307165170.845037784641741
960.1749491305767660.3498982611535320.825050869423234
970.1458794528367300.2917589056734600.85412054716327
980.1217701553167520.2435403106335030.878229844683248
990.1029148116914590.2058296233829190.89708518830854
1000.0856182087595450.171236417519090.914381791240455
1010.07399696232666010.1479939246533200.92600303767334
1020.06538748444208250.1307749688841650.934612515557917
1030.07841620675914670.1568324135182930.921583793240853
1040.07113559373137350.1422711874627470.928864406268627
1050.06726664722457920.1345332944491580.93273335277542
1060.05620749499186570.1124149899837310.943792505008134
1070.053005539601220.106011079202440.94699446039878
1080.04076427271907690.08152854543815390.959235727280923
1090.03237008668199350.06474017336398690.967629913318007
1100.02636927882873410.05273855765746810.973630721171266
1110.02307680766882200.04615361533764410.976923192331178
1120.03001073630819310.06002147261638620.969989263691807
1130.03253551425369720.06507102850739440.967464485746303
1140.03443319004066530.06886638008133060.965566809959335
1150.02614568331400870.05229136662801730.97385431668599
1160.01930724050010160.03861448100020330.980692759499898
1170.04544272844261750.09088545688523510.954557271557382
1180.03451391066090130.06902782132180260.965486089339099
1190.04176553691712980.08353107383425970.95823446308287
1200.03170783463096320.06341566926192630.968292165369037
1210.02538826236955840.05077652473911680.974611737630442
1220.01815724129294280.03631448258588560.981842758707057
1230.06884807184556440.1376961436911290.931151928154436
1240.0581036167069060.1162072334138120.941896383293094
1250.0481013313938130.0962026627876260.951898668606187
1260.04331846242380620.08663692484761240.956681537576194
1270.03142506096846910.06285012193693820.96857493903153
1280.08711177335255930.1742235467051190.91288822664744
1290.0717388387861840.1434776775723680.928261161213816
1300.1007572771216480.2015145542432950.899242722878352
1310.2206580469815730.4413160939631460.779341953018427
1320.1760065527454570.3520131054909130.823993447254543
1330.1444330567446240.2888661134892470.855566943255377
1340.6481281393481920.7037437213036160.351871860651808
1350.5784497983437330.8431004033125330.421550201656267
1360.5043237131309480.9913525737381040.495676286869052
1370.4239221804177310.8478443608354620.576077819582269
1380.4546731543625460.9093463087250930.545326845637454
1390.3774776686169220.7549553372338440.622522331383078
1400.4385417860888080.8770835721776160.561458213911192
1410.5824362387783610.8351275224432780.417563761221639
1420.5220754263106230.9558491473787540.477924573689377
1430.6052576125515430.7894847748969150.394742387448458
1440.5046891827434590.9906216345130820.495310817256541
1450.3789415102940710.7578830205881420.621058489705929
1460.432917191836450.86583438367290.56708280816355
1470.3397342618224370.6794685236448740.660265738177563


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.00719424460431655OK
5% type I error level150.107913669064748NOK
10% type I error level340.244604316546763NOK