Multiple Linear Regression - Estimated Regression Equation
aantalVrienden[t] = + 0.766368778596676 + 0.048718031746747maand[t] + 0.0991533235522943Popularity[t] -0.0609920300506682FindingFriends[t] + 0.128326230337218KnowingPeople[t] -0.076124742332118Liked[t] + 0.0313954332780401`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)0.7663687785966762.4517660.31260.7550440.377522
maand0.0487180317467470.246460.19770.8435750.421788
Popularity0.09915332355229430.0549951.8030.0734440.036722
FindingFriends-0.06099203005066820.065252-0.93470.3514690.175734
KnowingPeople0.1283262303372180.0439922.9170.0040890.002045
Liked-0.0761247423321180.068512-1.11110.2683350.134168
`Celebrity `0.03139543327804010.1131380.27750.7817880.390894


Multiple Linear Regression - Regression Statistics
Multiple R0.402657535519121
R-squared0.162133090910332
Adjusted R-squared0.127934441559734
F-TEST (value)4.74092088398498
F-TEST (DF numerator)6
F-TEST (DF denominator)147
p-value0.000191518186576811
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.41891364789336
Sum Squared Residuals295.957443206173


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
102.59250210349606-2.59250210349606
232.018901980532260.981098019467736
332.189311303442740.810688696557262
411.74173959054614-0.74173959054614
532.833372316584810.166627683415192
612.06510471684829-1.06510471684829
742.519169151520471.48083084847953
802.13998187723503-2.13998187723503
933.16640336555337-0.166403365553368
1022.25007748817684-0.250077488176837
1143.394043273176850.60595672682315
1231.797015497647461.20298450235254
1311.53866376439451-0.538663764394512
1412.52006382462731-1.52006382462731
1522.15092416462454-0.150924164624543
1632.817335440904790.182664559095212
1711.86419463376661-0.864194633766614
1811.81595243577031-0.815952435770309
1921.718042181535690.281957818464308
2032.895682709730020.104317290269977
2142.945228490962571.05477150903743
2221.84925976615630.150740233843702
2312.98471763785047-1.98471763785047
2423.17314122513152-1.17314122513152
2522.42908899875347-0.429088998753474
2642.893686028553481.10631397144652
2722.86408943178085-0.864089431780848
2832.145825063706340.85417493629366
2932.42709760714350.5729023928565
3032.811464253788040.188535746211956
3142.735537356127061.26446264387294
3221.970151308479660.0298486915203416
3322.06510471684829-0.0651047168482865
3443.220093060678710.779906939321287
3531.992530354395561.00746964560444
3642.267884417584541.73211558241546
3722.81823011401163-0.81823011401163
3853.175363751624631.82463624837537
3932.728065177176040.271934822823962
4012.04164793301271-1.04164793301271
4110.9930164658652930.00698353413470687
4211.82249245067732-0.822492450677325
4321.926090827215850.073909172784148
4432.942634545277220.0573654547227828
4593.235649462947875.76435053705213
4601.46887170200655-1.46887170200655
4702.13356892584998-2.13356892584998
4822.78551631763904-0.785516317639044
4921.304842040269120.695157959730882
5032.526716624248360.473283375751640
5112.29391212412407-1.29391212412407
5221.477441249366850.52255875063315
5302.68439574559408-2.68439574559408
5452.736399388928042.26360061107196
5522.54730697385673-0.547306973856727
5643.314670410194680.685329589805322
5731.580045388871641.41995461112836
5803.10412240509203-3.10412240509203
5901.42301723486863-1.42301723486863
6043.283943804706910.71605619529309
6113.80584142343022-2.80584142343022
6213.01215863175102-2.01215863175102
6341.610438378006872.38956162199313
6422.74538777564474-0.745387775644745
6542.812100441272461.18789955872754
6611.95240181240126-0.952401812401262
6742.875936532475081.12406346752492
6821.090899369360620.909100630639377
6953.033859359584931.96614064041507
7042.646234452092451.35376554790755
7142.176142632031981.82385736796802
7242.669102679578661.33089732042134
7342.572134391582321.42786560841768
7432.835129022492630.164870977507368
7532.690540071158820.309459928841176
7632.791049248742830.208950751257171
7721.99623644834850.00376355165150205
7811.11194075969598-0.111940759695981
7911.32608643780946-0.326086437809456
8053.218860131558911.78113986844109
8142.60940101197711.3905989880229
8222.29023082319459-0.290230823194586
8331.632958485170751.36704151482925
8422.46528304376243-0.465283043762429
8521.865960829966170.134039170033834
8622.44313933345483-0.443139333454826
8723.07494949830710-1.07494949830710
8831.941190899191441.05880910080856
8922.22442232096545-0.224422320965446
9032.288912460100040.71108753989996
9143.163089753320710.836910246679286
9233.38289928358807-0.382899283588070
9332.427545440248510.572454559751493
9401.82799738113567-1.82799738113567
9511.3318873448274-0.331887344827399
9621.485101782697280.514898217302723
9722.66797267086352-0.667972670863517
9832.420977424696060.579022575303945
9943.35240801370860.6475919862914
10043.110888265315610.889111734684386
10112.78748035850973-1.78748035850973
10221.480511155835380.519488844164624
10320.8550904543504111.14490954564959
10432.165229127420190.83477087257981
10532.052161890754090.947838109245906
10633.00496908153973-0.00496908153973336
10711.74855759453246-0.748557594532464
10811.75847814529317-0.758478145293173
10912.36546089241986-1.36546089241986
11013.11049257597335-2.11049257597335
11101.70936585624260-1.70936585624260
11212.62453372425855-1.62453372425855
11332.550631508419550.449368491580452
11433.08828337408314-0.088283374083142
11503.02729134403247-3.02729134403247
11621.609317859583460.390682140416541
11752.95731092726512.04268907273490
11822.72278288441227-0.722782884412273
11932.38735946492490.612640535075101
12033.26748323903918-0.267483239039185
12151.742884252086853.25711574791315
12242.797165573662141.20283442633786
12343.155617574369690.844382425630308
12401.57267277384751-1.57267277384751
12532.937832725924320.0621672740756817
12602.83512902249263-2.83512902249263
12722.23079249184676-0.230792491846763
12801.75326629567497-1.75326629567497
12962.937832725924323.06216727407568
13032.808602332188530.19139766781147
13111.44737366947508-0.447373669475085
13262.207735909981153.79226409001885
13322.79981179014296-0.799811790142962
13412.00238077391325-1.00238077391325
13533.01830295731577-0.0183029573157713
13612.06464838655472-1.06464838655472
13723.37695280269446-1.37695280269446
13842.721266676646591.27873332335341
13912.96165641632444-1.96165641632444
14022.72983137337559-0.729831373375591
14102.71309766925986-2.71309766925986
14252.388950966467452.61104903353255
14322.13070700425046-0.130707004250463
14411.16424181162798-0.164241811627979
14511.43271194031277-0.432711940312772
14642.301596800571801.69840319942820
14733.24578251120528-0.245782511205283
14802.757305007582-2.757305007582
14932.641691118361980.358308881638018
15033.03476352298350-0.0347635229834959
15101.84203757563915-1.84203757563915
15222.61819155402267-0.618191554022668
15353.042226211642791.95777378835721
15422.18110965575015-0.181109655750151


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.8638776565532830.2722446868934350.136122343446717
110.7964780963816420.4070438072367150.203521903618358
120.6902942753205770.6194114493588460.309705724679423
130.5805403859113470.8389192281773050.419459614088653
140.6299260301317430.7401479397365150.370073969868257
150.5321390558599010.9357218882801980.467860944140099
160.435541390513570.871082781027140.56445860948643
170.3455950106389540.6911900212779080.654404989361046
180.2708996975011950.5417993950023890.729100302498805
190.2588208239637660.5176416479275320.741179176036234
200.1957883788133960.3915767576267920.804211621186604
210.162456389474960.324912778949920.83754361052504
220.1266026630383690.2532053260767380.873397336961631
230.1907593560806090.3815187121612180.809240643919391
240.1698209473836550.3396418947673090.830179052616346
250.1340173723350320.2680347446700640.865982627664968
260.1438590003872190.2877180007744390.85614099961278
270.1129270670011290.2258541340022580.88707293299887
280.1087855909886130.2175711819772250.891214409011387
290.09240962854460960.1848192570892190.90759037145539
300.07049416045359750.1409883209071950.929505839546402
310.07315640447688050.1463128089537610.92684359552312
320.05446324678988230.1089264935797650.945536753210118
330.03853775591041950.0770755118208390.96146224408958
340.02990603936661530.05981207873323060.970093960633385
350.02662948794678790.05325897589357570.973370512053212
360.04275635414516140.08551270829032270.957243645854839
370.03498397789586870.06996795579173740.965016022104131
380.04500048629809370.09000097259618730.954999513701906
390.03250523873927960.06501047747855920.96749476126072
400.02713640564379660.05427281128759330.972863594356203
410.01904108603062500.03808217206125010.980958913969375
420.01482094755751670.02964189511503340.985179052442483
430.01016060674348090.02032121348696190.98983939325652
440.006842770411512510.01368554082302500.993157229588488
450.3664063629706810.7328127259413620.633593637029319
460.3476250689175050.695250137835010.652374931082495
470.3834986025402410.7669972050804820.616501397459759
480.3566000044223290.7132000088446580.643399995577671
490.3449712888610020.6899425777220050.655028711138998
500.3200827986963860.6401655973927710.679917201303614
510.3030747538088990.6061495076177980.696925246191101
520.2596467757098270.5192935514196540.740353224290173
530.3827934108370670.7655868216741350.617206589162933
540.4807338777705760.9614677555411520.519266122229424
550.4373395310040320.8746790620080640.562660468995968
560.3964754095083850.792950819016770.603524590491615
570.3981126012975920.7962252025951830.601887398702408
580.5668566963244760.8662866073510480.433143303675524
590.5506833578693350.8986332842613310.449316642130665
600.5177743256091380.9644513487817230.482225674390862
610.6289853543696160.7420292912607690.371014645630384
620.6475862136135290.7048275727729420.352413786386471
630.7689144500564160.4621710998871670.231085549943584
640.7360151810070750.527969637985850.263984818992925
650.7394783669053620.5210432661892770.260521633094638
660.710288592354210.5794228152915790.289711407645790
670.703076698757610.593846602484780.29692330124239
680.6863860667741330.6272278664517330.313613933225866
690.724629385445340.5507412291093190.275370614554659
700.71977939859790.5604412028041990.280220601402099
710.7411641415462440.5176717169075120.258835858453756
720.7343736595028540.5312526809942920.265626340497146
730.7310086368421130.5379827263157750.268991363157887
740.6900668579167230.6198662841665540.309933142083277
750.6474861446590.7050277106820.352513855341
760.6045693544307210.7908612911385580.395430645569279
770.5594723002854790.8810553994290430.440527699714521
780.5132579566902620.9734840866194760.486742043309738
790.4696173508263380.9392347016526770.530382649173662
800.5108431534762860.9783136930474270.489156846523714
810.5080700693900290.9838598612199420.491929930609971
820.4631494138334570.9262988276669140.536850586166543
830.461305693702320.922611387404640.53869430629768
840.4239680094621620.8479360189243240.576031990537838
850.3774029635409730.7548059270819470.622597036459027
860.3442258952231470.6884517904462930.655774104776853
870.3245607940526010.6491215881052020.675439205947399
880.3047770265612210.6095540531224420.695222973438779
890.2659566624299880.5319133248599750.734043337570012
900.2335834070392580.4671668140785150.766416592960742
910.2094848760679570.4189697521359140.790515123932043
920.1789469054208610.3578938108417210.82105309457914
930.1538391377264590.3076782754529170.846160862273541
940.1769989758180130.3539979516360260.823001024181987
950.1475310937476410.2950621874952820.85246890625236
960.1220847649060540.2441695298121080.877915235093946
970.1038102917651840.2076205835303680.896189708234816
980.08559000343510030.1711800068702010.9144099965649
990.07332538003756250.1466507600751250.926674619962437
1000.06392762446143590.1278552489228720.936072375538564
1010.07813956489861590.1562791297972320.921860435101384
1020.07036688017634070.1407337603526810.929633119823659
1030.0655125874912550.131025174982510.934487412508745
1040.05401656559422510.1080331311884500.945983434405775
1050.05023357714684720.1004671542936940.949766422853153
1060.03837731753907410.07675463507814820.961622682460926
1070.03063702185634220.06127404371268430.969362978143658
1080.02496329634745090.04992659269490180.97503670365255
1090.02205050363336210.04410100726672420.977949496366638
1100.02885426487858740.05770852975717470.971145735121413
1110.03136979616872180.06273959233744360.968630203831278
1120.0333252484727740.0666504969455480.966674751527226
1130.02509753639079240.05019507278158480.974902463609208
1140.01843881541223380.03687763082446760.981561184587766
1150.04371740851914950.0874348170382990.95628259148085
1160.03296036374573040.06592072749146090.96703963625427
1170.03925213212652680.07850426425305370.960747867873473
1180.02972644190423380.05945288380846750.970273558095766
1190.02352475152132490.04704950304264980.976475248478675
1200.01669263781746240.03338527563492470.983307362182538
1210.0624068053902720.1248136107805440.937593194609728
1220.05184913692717310.1036982738543460.948150863072827
1230.04225693086958310.08451386173916630.957743069130417
1240.03793398759826330.07586797519652650.962066012401737
1250.02711436155000800.05422872310001610.972885638449992
1260.07632724550376490.1526544910075300.923672754496235
1270.06201954390288110.1240390878057620.937980456097119
1280.08681371802920530.1736274360584110.913186281970795
1290.1928331914471990.3856663828943980.8071668085528
1300.1509531515027910.3019063030055810.84904684849721
1310.1217863614741640.2435727229483280.878213638525836
1320.5948326205853290.8103347588293430.405167379414671
1330.5212879363651760.9574241272696490.478712063634824
1340.4451298865158270.8902597730316550.554870113484173
1350.3643537180473310.7287074360946610.63564628195267
1360.3895361689730820.7790723379461630.610463831026918
1370.3137134513735480.6274269027470960.686286548626452
1380.3644801430780960.7289602861561920.635519856921904
1390.496490543603130.992981087206260.50350945639687
1400.4295231932444930.8590463864889850.570476806755507
1410.5014188430338810.9971623139322390.498581156966119
1420.3916305003876870.7832610007753740.608369499612313
1430.2668675710307820.5337351420615630.733132428969218
1440.2922326967238760.5844653934477520.707767303276124


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level90.0666666666666667NOK
10% type I error level300.222222222222222NOK