Multiple Linear Regression - Estimated Regression Equation
aantalVrienden[t] = + 1.23901678587798 + 0.096316083193947Popularity[t] -0.0640953209811908FindingFriends[t] + 0.128730344656522KnowingPeople[t] -0.0742946234905384Liked[t] + 0.0388673886095463`Celebrity `[t] -0.000136327489515619t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.239016785877980.9565071.29540.1972010.0986
Popularity0.0963160831939470.0545921.76430.0797330.039867
FindingFriends-0.06409532098119080.064855-0.98830.3246170.162309
KnowingPeople0.1287303446565220.0432872.97390.0034310.001715
Liked-0.07429462349053840.068054-1.09170.276730.138365
`Celebrity `0.03886738860954630.110140.35290.7246680.362334
t-0.0001363274895156190.002557-0.05330.9575520.478776


Multiple Linear Regression - Regression Statistics
Multiple R0.404585261523168
R-squared0.163689233841770
Adjusted R-squared0.130012290238083
F-TEST (value)4.86057273391784
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0.000145740995116217
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.41229152671296
Sum Squared Residuals297.190536107357


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
122.61074725279726-0.610747252797261
211.88374287237492-0.883742872374924
302.63165033319365-2.63165033319365
432.060187847783030.93981215221697
532.224942301774990.775057698225014
611.75102706403179-0.75102706403179
732.882885969156120.117114030843881
812.08988955019709-1.08988955019709
942.542008635787361.45799136421264
1002.17175851119156-2.17175851119156
1133.22928261101486-0.229282611014856
1222.28541656035547-0.285416560355473
1343.413718844786540.586281155213463
1431.82268449807571.1773155019243
1511.56760093380792-0.567600933807919
1612.5388917859819-1.5388917859819
1722.18841883971395-0.188418839713948
1832.855385050645340.144614949354656
1911.88246922034254-0.882469220342543
2011.86232128633397-0.862321286333969
2121.731790019338590.268209980661405
2232.935587491324790.0644125086752079
2342.972655515949611.02734448405039
2421.861735181320590.138264818679408
2513.01321930770916-2.01321930770916
2623.20807120323621-1.20807120323621
2722.48573969937005-0.485739699370053
2842.930983169214821.06901683078518
2922.90561890935366-0.905618909353662
3032.152028023344190.847971976655807
3132.436901829178450.563098170821552
3232.857960534810060.142039465189938
3342.773676484764981.22632351523502
3422.00057820483170-0.000578204831696509
3522.08620870798017-0.086208707980165
3643.248588290369020.751411709630982
3732.026710241183390.973289758816608
3842.303858015232581.69614198476742
3922.85035961598666-0.850359615986663
4053.212615745529961.78738425447004
4132.753577378563870.246422621436134
4212.04418742111214-1.04418742111214
4311.00821474627503-0.00821474627502965
4411.84973603021471-0.849736030214708
4521.958822040213080.0411779597869168
4632.974195993604380.0258040063956189
4793.250101661402765.74989833859724
4801.47138263486190-1.47138263486190
4902.16740393039313-2.16740393039313
5022.81934151146223-0.819341511462228
5121.337107013640750.662892986359252
5232.579885009865310.42011499013469
5312.31741692554518-1.31741692554518
5421.452522121534780.547477878465221
5502.64870608411991-2.64870608411991
5652.712858576861402.28714142313860
5722.52256335370827-0.522563353708271
5843.299485104071520.700514895928483
5931.547072470181271.45292752981873
6003.09800477998927-3.09800477998927
6101.39067898079522-1.39067898079522
6243.255243078150960.744756921849041
6313.78954082816776-2.78954082816776
6412.98731043134954-1.98731043134954
6541.595325888074672.40467411192533
6622.71130180271643-0.71130180271643
6742.79283992705821.2071600729418
6811.91662562009486-0.91662562009486
6942.846076292051381.15392370794862
7021.034902822237430.965097177762566
7152.999761914100512.00023808589949
7242.614167754585391.38583224541461
7342.153739268885591.84626073111441
7442.676254098409521.32374590159048
7542.55577037483831.4442296251617
7632.813634439355970.186365560644032
7732.656099681109730.343900318890267
7832.773414990379110.226585009620889
7921.952715809970030.0472841900299665
8011.06973922086842-0.06973922086842
8111.29808947495793-0.298089474957927
8253.206854500871411.79314549912859
8342.589063074513791.41093692548621
8422.26860815126924-0.268608151269236
8531.579112586240961.42088741375904
8622.43627943300059-0.436279433000595
8721.831318589027520.168681410972483
8822.43009710017103-0.430097100171026
8923.06163702133074-1.06163702133074
9031.907366787428361.09263321257164
9122.20178142062810-0.201781420628096
9232.276866417822900.723133582177105
9343.141295067604440.858704932395556
9433.35704978074543-0.357049780745432
9532.395645394291270.604354605708732
9601.78801778034409-1.78801778034409
9711.32995004298457-0.329950042984568
9821.437714528220450.562285471779551
9922.65437712758078-0.654377127580781
10032.391757284175450.608242715824546
10143.333030113326030.666969886673968
10243.085632399032820.91436760096718
10312.76038269342491-1.76038269342491
10421.437786216024110.56221378397589
10520.8187234433825121.18127655661749
10632.149280643542070.850719356457928
10732.01712713510680.9828728648932
10832.995144977298570.00485502270143044
10911.71751342878676-0.717513428786761
11011.74550548470330-0.745505484703304
11112.34138448992171-1.34138448992171
11213.10397532226772-2.10397532226772
11301.68243148179777-1.68243148179777
11412.59503622484815-1.59503622484815
11532.527058401015070.472941598984933
11633.05451602538526-0.0545160253852632
11702.99028437691456-2.99028437691456
11821.58759631853510.412403681464901
11952.926109900204152.07389009979585
12022.67473232948825-0.674732329488247
12132.343573891139110.656426108860892
12233.22824844174485-0.228248441744849
12351.710235813886453.28976418611355
12442.765016858581441.23498314141856
12543.117924101654950.882075898345046
12601.53508295087141-1.53508295087141
12732.918066632257420.0819333677425837
12802.80654540990116-2.80654540990116
12922.20966054775976-0.209660547759764
13001.72446910558237-1.72446910558237
13162.917521322299353.08247867770065
13232.772852636536560.227147363463439
13311.41150054577932-0.411500545779325
13462.174437581569663.82556241843034
13522.76278405425281-0.762784054252807
13611.95533794482681-0.95533794482681
13732.987751326374060.0122486736259375
13812.02383348738512-1.02383348738512
13923.33066914289304-1.33066914289304
14042.691207765232741.30879223476726
14112.91986404095607-1.91986404095607
14222.69792794009483-0.697927940094825
14302.66409975479303-2.66409975479303
14452.345966343187572.65403365681243
14522.08284134207769-0.0828413420776901
14611.13133023649905-0.131330236499052
14711.40441643012883-0.404416430128835
14842.27031148379831.7296885162017
14933.21116182435034-0.211161824350344
15002.73176503417605-2.73176503417605
15132.616497636457420.383502363542584
15233.0045214010665-0.00452140106650126
15301.80246207239493-1.80246207239493
15422.58904342257338-0.589043422573384
15553.005156333887341.99484366611266
15622.1221380046211-0.122138004621100


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.8684983617365350.2630032765269300.131501638263465
110.7765731872168130.4468536255663740.223426812783187
120.6784458806340210.6431082387319570.321554119365979
130.5889605430914860.8220789138170270.411039456908514
140.4762138132511840.9524276265023690.523786186748816
150.3743755348532990.7487510697065990.625624465146701
160.3984786079772140.7969572159544290.601521392022786
170.3072861261372390.6145722522744770.692713873862761
180.2617947123216110.5235894246432230.738205287678389
190.1939744243903180.3879488487806360.806025575609682
200.1411297397580820.2822594795161650.858870260241918
210.1614401189535990.3228802379071970.838559881046401
220.1159307197979960.2318614395959910.884069280202004
230.09157820969532830.1831564193906570.908421790304672
240.06564898170168640.1312979634033730.934351018298314
250.1228925561526860.2457851123053710.877107443847314
260.1073604815451010.2147209630902020.892639518454899
270.08298383345132590.1659676669026520.917016166548674
280.09413146667383270.1882629333476650.905868533326167
290.073485939010960.146971878021920.92651406098904
300.0716722632890310.1433445265780620.928327736710969
310.0568606665349210.1137213330698420.94313933346508
320.04046413927842020.08092827855684050.95953586072158
330.0365682954762460.0731365909524920.963431704523754
340.02528917286926460.05057834573852920.974710827130735
350.01815814198444500.03631628396889000.981841858015555
360.01273746252925750.02547492505851500.987262537470742
370.00928959209370840.01857918418741680.990710407906292
380.01093333492331270.02186666984662530.989066665076687
390.01139785620266630.02279571240533270.988602143797334
400.01185357749075750.02370715498151510.988146422509242
410.008209906493553420.01641981298710680.991790093506447
420.00855836038483420.01711672076966840.991441639615166
430.006197254744844840.01239450948968970.993802745255155
440.00575931828965880.01151863657931760.994240681710341
450.003846400327288760.007692800654577520.996153599672711
460.002609291955771710.005218583911543430.997390708044228
470.1721991653429160.3443983306858310.827800834657084
480.1932774237562230.3865548475124460.806722576243777
490.2819746968722120.5639493937444240.718025303127788
500.2799318287669660.5598636575339330.720068171233034
510.2517018823062070.5034037646124140.748298117693793
520.2150853566815310.4301707133630620.78491464331847
530.2325417456712470.4650834913424950.767458254328753
540.2020552495867430.4041104991734870.797944750413257
550.3649562596612580.7299125193225160.635043740338742
560.4071880184093810.8143760368187620.592811981590619
570.3758020324434560.7516040648869120.624197967556544
580.3333210908678950.666642181735790.666678909132105
590.3249248704983710.6498497409967410.67507512950163
600.5545288142901240.8909423714197520.445471185709876
610.5665556453961260.8668887092077470.433444354603874
620.5215530019604120.9568939960791750.478446998039588
630.691526612544540.6169467749109190.308473387455460
640.7509981504607930.4980036990784150.249001849539207
650.8066339053031160.3867321893937690.193366094696884
660.7894401298792520.4211197402414950.210559870120748
670.7751485104330760.4497029791338470.224851489566924
680.7645798771622910.4708402456754170.235420122837709
690.7428896778312660.5142206443374680.257110322168734
700.7174761873305920.5650476253388150.282523812669408
710.7304430929473420.5391138141053160.269556907052658
720.710231386165090.5795372276698190.289768613834909
730.7127072748002850.5745854503994310.287292725199715
740.6943482066825050.6113035866349910.305651793317495
750.6771496611342450.645700677731510.322850338865755
760.6340669015036440.7318661969927110.365933098496356
770.5884783049000560.8230433901998880.411521695099944
780.5443347050266340.9113305899467320.455665294973366
790.5011902477725250.997619504454950.498809752227475
800.4592967234102650.9185934468205310.540703276589735
810.423641576163130.847283152326260.57635842383687
820.4478604173812050.895720834762410.552139582618795
830.4331429268066520.8662858536133040.566857073193348
840.3948796403909850.789759280781970.605120359609015
850.3830924544832860.7661849089665710.616907545516714
860.3551372295013150.710274459002630.644862770498685
870.3122761304883040.6245522609766080.687723869511696
880.2876516650146340.5753033300292680.712348334985366
890.2803874572509650.560774914501930.719612542749035
900.2551249389747630.5102498779495270.744875061025237
910.2220800434183590.4441600868367180.777919956581641
920.1904658816043320.3809317632086640.809534118395668
930.1662695888421200.3325391776842390.83373041115788
940.1428980473666710.2857960947333420.857101952633329
950.1202237288755310.2404474577510620.879776271124469
960.1498070315209250.2996140630418510.850192968479075
970.124723747413420.249447494826840.87527625258658
980.1016197989873130.2032395979746270.898380201012687
990.08784278547941510.1756855709588300.912157214520585
1000.07066588110855820.1413317622171160.929334118891442
1010.05906123510885250.1181224702177050.940938764891148
1020.05018812239662810.1003762447932560.949811877603372
1030.06598090726937310.1319618145387460.934019092730627
1040.05810292642379710.1162058528475940.941897073576203
1050.052736311840770.105472623681540.94726368815923
1060.04267574404004990.08535148808009980.95732425595995
1070.03990464550906150.07980929101812290.960095354490939
1080.03020654512820270.06041309025640540.969793454871797
1090.02449505094773750.04899010189547510.975504949052262
1100.02046013687301130.04092027374602260.979539863126989
1110.01831808267300660.03663616534601310.981681917326994
1120.02505437667495100.05010875334990210.974945623325049
1130.0285726550492320.0571453100984640.971427344950768
1140.03277455217643390.06554910435286780.967225447823566
1150.02433252048747190.04866504097494390.975667479512528
1160.01769760574863020.03539521149726050.98230239425137
1170.0510266858924640.1020533717849280.948973314107536
1180.03854275082370570.07708550164741130.961457249176294
1190.04073695896540410.08147391793080830.959263041034596
1200.03134227666561900.06268455333123810.968657723334381
1210.02362030745940160.04724061491880320.976379692540598
1220.01706003044804010.03412006089608010.98293996955196
1230.05697687408596430.1139537481719290.943023125914036
1240.04712294314706140.09424588629412270.952877056852939
1250.03923037460697080.07846074921394160.96076962539303
1260.03458002633641070.06916005267282150.96541997366359
1270.02449352379641540.04898704759283080.975506476203585
1280.07886598763399420.1577319752679880.921134012366006
1290.0614852171904670.1229704343809340.938514782809533
1300.1110229443375460.2220458886750910.888977055662454
1310.1928868851325450.385773770265090.807113114867455
1320.1487643510389750.2975287020779500.851235648961025
1330.1170436114476550.2340872228953100.882956388552345
1340.6514763100380780.6970473799238450.348523689961922
1350.5796353987797350.840729202440530.420364601220265
1360.509405024737290.981189950525420.49059497526271
1370.4515585286863070.9031170573726140.548441471313693
1380.4340807067798770.8681614135597540.565919293220123
1390.3709269243291840.7418538486583670.629073075670816
1400.6691506096447670.6616987807104670.330849390355233
1410.6501563124107360.6996873751785280.349843687589264
1420.5416382652450330.9167234695099340.458361734754967
1430.5028178867940380.9943642264119240.497182113205962
1440.3965459038075070.7930918076150140.603454096192493
1450.2715902935053620.5431805870107240.728409706494638
1460.3948322384789280.7896644769578560.605167761521072


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level20.0145985401459854NOK
5% type I error level200.145985401459854NOK
10% type I error level350.255474452554745NOK