Multiple Linear Regression - Estimated Regression Equation
NotPopular[t] = + 0.410809067919239 -0.0103714850389617Popularity[t] + 0.54902968172845FindingFriends[t] + 0.434073395267413KnowingPeople[t] -0.606370476015817Liked[t] -0.0301007884568122Celebrity[t] -0.267226482953949WeightedSum[t] + 1.05529571126129Gender[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.4108090679192391.7995780.22830.8197430.409872
Popularity-0.01037148503896170.113987-0.0910.9276250.463812
FindingFriends0.549029681728450.0702417.816400
KnowingPeople0.4340733952674130.0891094.87133e-061e-06
Liked-0.6063704760158170.084094-7.210600
Celebrity-0.03010078845681220.073612-0.40890.6831940.341597
WeightedSum-0.2672264829539490.129772-2.05920.0412270.020614
Gender1.055295711261290.251444.1974.6e-052.3e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.86112661610235
R-squared0.741539048959883
Adjusted R-squared0.729314544518797
F-TEST (value)60.6600498640721
F-TEST (DF numerator)7
F-TEST (DF denominator)148
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.54591980271415
Sum Squared Residuals959.292730994106


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
125.23643790154167-3.23643790154167
231.765911273380301.23408872661970
331.058271785279821.94172821472018
431.316314231747841.68368576825216
533.57116207142968-0.571162071429684
630.9295039992265452.07049600077346
723.15510166203506-1.15510166203506
835.14376710364973-2.14376710364973
934.32853492333369-1.32853492333369
1040.871220018895673.12877998110433
1132.091713078202040.90828692179796
1234.97729482599576-1.97729482599576
1325.87109525070591-3.87109525070591
1435.55581939052826-2.55581939052826
1533.2118473870138-0.211847387013796
1636.77924015241397-3.77924015241397
1733.13069115091159-0.130691150911585
1832.906282917294960.0937170827050397
1923.77997660433584-1.77997660433584
2041.027133393681642.97286660631836
2130.306265428690342.69373457130966
2223.58617091101000-1.58617091101000
2337.68823716933386-4.68823716933386
2433.89720181281658-0.89720181281658
2525.82248721353326-3.82248721353326
2622.97598899448349-0.975988994483487
2743.280793767649340.719206232350662
2822.62639688883201-0.62639688883201
2931.528356663825451.47164333617455
3020.880929162711511.11907083728849
3146.37808820240532-2.37808820240532
3234.28099663643006-1.28099663643006
3323.87834559482346-1.87834559482346
3432.268919428947270.731080571052733
3534.59570391718733-1.59570391718733
3615.52934271622395-4.52934271622395
3732.192895772288540.807104227711458
3833.85841586491028-0.858415864910283
3933.76723946920606-0.76723946920606
4024.10480222344399-2.10480222344399
4134.41988745709054-1.41988745709054
421510.84695737371654.15304262628347
43511.8105951926742-6.81059519267423
44811.0814494029696-3.08144940296955
45117.715353376219733.28464662378027
461610.89920221696455.10079778303549
471713.99807176076043.00192823923962
4898.07254450072110.927455499278898
49911.3395456111980-2.33954561119796
501314.9189094257961-1.91890942579612
51108.74938099291211.25061900708789
52612.3473497635174-6.34734976351738
531213.5728310593809-1.57283105938086
54810.4636129134974-2.46361291349737
551412.47529682041501.52470317958505
561214.4879948202638-2.48799482026381
571111.3519809312834-0.351980931283416
581616.3327476520419-0.332747652041872
59812.5110140410853-4.51101404108533
601513.75863180461211.24136819538793
6179.73111822526854-2.73111822526854
621614.22768675284481.77231324715519
631414.0426493282646-0.0426493282645574
641613.45734972902442.54265027097560
6598.506728076158190.493271923841813
661412.45556751699711.5444324830029
671112.5131830091708-1.51318300917077
68137.822524262381765.17747573761824
691513.17171923519651.82828076480348
7055.02191166050712-0.0219116605071172
711513.34239674363211.65760325636791
721313.6011655936288-0.601165593628824
731110.89716126486940.102838735130649
741114.6746812161648-3.6746812161648
751211.58813681228470.411863187715291
761213.4251884065898-1.42518840658982
771212.8875803782867-0.88758037828675
781211.56216089971890.437839100281086
791411.92656184472662.07343815527338
80610.7390232474991-4.73902324749911
8178.39879394994077-1.39879394994077
821410.68928332764033.31071667235969
831414.5144116944945-0.514411694494536
841011.3318073651319-1.33180736513191
85139.05270313913143.94729686086859
861211.00622642123050.99377357876948
8799.50287288575902-0.502872885759023
881211.42924156404890.570758435951121
891613.29622387509672.70377612490331
901010.8297469926519-0.829746992651864
911412.83722186085241.16277813914763
921011.7928227591210-1.79282275912104
931613.43416735610252.56583264389747
941513.84445711611211.15554288388787
951211.41173824546340.588261754536615
96109.926574795987480.0734252040125248
9788.10538540725177-0.105385407251773
9888.48417499870718-0.484174998707177
991114.1249354486139-3.12493544861391
100139.69584196626313.3041580337369
1011614.08387088824041.91612911175962
1021613.14883114204362.85116885795643
1031416.5524686224786-2.55246862247861
1041111.7649342561260-0.764934256126018
10546.7558325748484-2.7558325748484
1061411.60373793874282.39626206125718
107912.5608912871929-3.56089128719295
1081414.0860598644796-0.0860598644796395
109813.7684571949471-5.76845719494714
110812.0530499647827-4.05304996478271
1111112.7489838373952-1.74898383739519
1121212.7700015053594-0.770001505359418
113118.852346222021352.14765377797865
1141411.89917381475202.10082618524804
1151511.26814941764553.73185058235445
1161611.81747668021164.18252331978836
1171611.95392852429944.04607147570063
118118.773609397770342.22639060222966
1191412.38623566535791.61376433464206
1201412.56713840320771.43286159679235
1211212.9908403134361-0.9908403134361
1221415.0616784230829-1.06167842308286
123810.6190414734542-2.61904147345418
1241312.79359460555700.206405394443017
1251613.70875785957322.29124214042683
126128.021238217360893.97876178263911
1271612.93553717017523.06446282982483
1281213.2746844643058-1.27468446430576
1291113.5150323835848-2.51503238358484
13044.41866304622886-0.418663046228862
1311611.72973751662984.27026248337018
1321511.46104278657593.53895721342414
133109.568619924563960.431380075436043
1341311.63901377147711.36098622852294
1351512.43377437853282.56622562146724
1361211.25344890288030.746551097119685
1371414.7142234789598-0.714223478959797
138711.1537444396956-4.15374443969556
1391912.88051063753906.11948936246103
1401214.8120365467429-2.81203654674294
1411213.8711277180163-1.87112771801627
1421312.19473483195390.80526516804613
1431516.2959116316725-1.29591163167247
14488.30677578566316-0.306775785663164
1451211.62187385386790.378126146132109
146108.18997982614471.81002017385530
14788.00380029264288-0.00380029264287846
1481012.7891946055085-2.78919460550846
1491512.82523367829812.1747663217019
1501610.89537162084245.1046283791576
151139.705393620770963.29460637922904
1521613.97053417409222.02946582590782
153910.5588398965406-1.55883989654055
1541412.21915790832241.7808420916776
1551412.00462560093811.99537439906190
1561212.5356679621759-0.535667962175926


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.002040308709223840.004080617418447680.997959691290776
120.0007041232123881320.001408246424776260.999295876787612
139.11470877084195e-050.0001822941754168390.999908852912292
141.04901895837160e-052.09803791674320e-050.999989509810416
151.26701420902535e-062.53402841805071e-060.99999873298579
162.76734651127936e-075.53469302255872e-070.999999723265349
174.71627724089860e-089.43255448179719e-080.999999952837228
182.48213438723599e-084.96426877447197e-080.999999975178656
196.74172140833907e-081.34834428166781e-070.999999932582786
201.05513699378691e-082.11027398757383e-080.99999998944863
211.82898147117726e-093.65796294235451e-090.999999998171019
221.33154717811144e-092.66309435622289e-090.999999998668453
233.23967597570423e-106.47935195140846e-100.999999999676032
245.97155256761306e-111.19431051352261e-100.999999999940284
251.89803094409970e-113.79606188819941e-110.99999999998102
263.59250774835323e-127.18501549670646e-120.999999999996408
272.90803398368766e-125.81606796737532e-120.999999999997092
284.65818297966566e-129.31636595933131e-120.999999999995342
291.10617596213715e-122.21235192427430e-120.999999999998894
302.14680073418647e-134.29360146837294e-130.999999999999785
311.03079158423742e-122.06158316847484e-120.99999999999897
322.15887551578811e-134.31775103157622e-130.999999999999784
337.70242086991453e-141.54048417398291e-130.999999999999923
342.13433849214609e-144.26867698429217e-140.999999999999979
354.06818996302778e-158.13637992605556e-150.999999999999996
361.49029312026209e-142.98058624052418e-140.999999999999985
373.42727782299467e-156.85455564598934e-150.999999999999997
381.33602555057221e-152.67205110114441e-150.999999999999999
394.87772594681312e-169.75545189362624e-161
401.07842513679661e-152.15685027359323e-150.999999999999999
412.02513063197858e-144.05026126395715e-140.99999999999998
420.001039119497209720.002078238994419440.99896088050279
430.005952007149160370.01190401429832070.99404799285084
440.006635850717226440.01327170143445290.993364149282774
450.08922089667846390.1784417933569280.910779103321536
460.79802313263720.4039537347255990.201976867362800
470.9354047025837580.1291905948324840.064595297416242
480.9182741461101740.1634517077796520.0817258538898261
490.9280531718164120.1438936563671760.0719468281835878
500.935004166940740.1299916661185190.0649958330592597
510.9181237224220.1637525551559990.0818762775779993
520.9905281033151610.01894379336967710.00947189668483856
530.98709302700780.02581394598440160.0129069729922008
540.9881652750543020.02366944989139620.0118347249456981
550.991620487811890.01675902437622060.00837951218811032
560.9889352311229860.02212953775402830.0110647688770142
570.9857505033130120.02849899337397690.0142494966869885
580.9856109339634210.0287781320731580.014389066036579
590.9858826382696840.02823472346063280.0141173617303164
600.9865615610597780.02687687788044380.0134384389402219
610.984097447847530.03180510430493870.0159025521524694
620.9890293413905410.02194131721891760.0109706586094588
630.9868985899184220.02620282016315630.0131014100815782
640.9909576105129940.01808477897401290.00904238948700645
650.9875794055791170.02484118884176520.0124205944208826
660.9877499915284430.02450001694311430.0122500084715571
670.9875948400424520.02481031991509650.0124051599575483
680.9962068536116930.007586292776614650.00379314638830732
690.9958770306541230.00824593869175480.0041229693458774
700.9941582722350930.01168345552981450.00584172776490724
710.9948801080050520.01023978398989510.00511989199494755
720.9928613711176370.01427725776472640.0071386288823632
730.9905313858024150.01893722839517010.00946861419758507
740.9931297941011940.01374041179761210.00687020589880606
750.9907590396457980.01848192070840420.00924096035420208
760.9894737300480210.02105253990395730.0105262699519787
770.9859284327546040.02814313449079140.0140715672453957
780.9817972590912130.03640548181757410.0182027409087870
790.9850608459630640.02987830807387120.0149391540369356
800.9918200241848260.01635995163034820.00817997581517408
810.9911803924463330.01763921510733320.0088196075536666
820.9945172350963380.01096552980732340.0054827649036617
830.9923374259609070.01532514807818640.0076625740390932
840.9901873986545970.01962520269080590.00981260134540294
850.9973448794215480.005310241156903570.00265512057845179
860.9966072640836440.006785471832712160.00339273591635608
870.9952063720154260.009587255969148530.00479362798457426
880.994370716648330.01125856670334060.00562928335167032
890.9935998617072940.01280027658541240.00640013829270622
900.991067891076280.01786421784744140.00893210892372069
910.9884311048119170.02313779037616620.0115688951880831
920.9917433822871530.01651323542569370.00825661771284684
930.9924479822136850.01510403557262950.00755201778631473
940.9908409359711680.01831812805766390.00915906402883193
950.9877292153244240.02454156935115280.0122707846755764
960.9832824806915110.03343503861697740.0167175193084887
970.9799329368557620.04013412628847610.0200670631442380
980.9728492177392670.05430156452146640.0271507822607332
990.9748363265688870.05032734686222580.0251636734311129
1000.9743491559253440.05130168814931230.0256508440746561
1010.9712131964458380.0575736071083240.028786803554162
1020.9671988443748060.06560231125038810.0328011556251941
1030.9730869654662960.05382606906740810.0269130345337041
1040.9757590191604320.04848196167913630.0242409808395681
1050.9731441859236170.05371162815276540.0268558140763827
1060.9691188693599740.0617622612800510.0308811306400255
1070.9669998097759150.06600038044817050.0330001902240852
1080.9684757587882680.06304848242346440.0315242412117322
1090.9792212871576580.04155742568468450.0207787128423422
1100.9823113570168160.03537728596636850.0176886429831842
1110.9791180539910360.04176389201792850.0208819460089643
1120.9836998470551420.03260030588971630.0163001529448582
1130.9787082367641460.04258352647170740.0212917632358537
1140.9736869298651170.05262614026976680.0263130701348834
1150.9717976074055850.0564047851888290.0282023925944145
1160.9764563399805490.04708732003890210.0235436600194510
1170.9845926265461720.03081474690765550.0154073734538278
1180.9815110834113020.03697783317739680.0184889165886984
1190.9740598655014670.05188026899706680.0259401344985334
1200.9777951747530130.04440965049397370.0222048252469868
1210.9686361921276280.06272761574474450.0313638078723723
1220.956756936002770.08648612799445810.0432430639972291
1230.9500938326538470.09981233469230580.0499061673461529
1240.9321240176834330.1357519646331330.0678759823165665
1250.9271762561193420.1456474877613160.072823743880658
1260.9279717076325830.1440565847348340.0720282923674172
1270.9081180319181310.1837639361637380.0918819680818689
1280.895320635196190.2093587296076210.104679364803810
1290.949166442570130.1016671148597420.0508335574298711
1300.944298102083150.11140379583370.05570189791685
1310.9283693441720110.1432613116559780.071630655827989
1320.9055249744119160.1889500511761690.0944750255880843
1330.8723062960190670.2553874079618660.127693703980933
1340.8246570947424170.3506858105151670.175342905257583
1350.7718558304762310.4562883390475380.228144169523769
1360.735076971457720.5298460570845590.264923028542280
1370.6779167389953880.6441665220092240.322083261004612
1380.6787175017891950.6425649964216090.321282498210805
1390.9182341148600240.1635317702799520.0817658851399762
1400.9795592005842460.04088159883150870.0204407994157543
1410.962011427555070.07597714488986170.0379885724449309
1420.9346055148085010.1307889703829990.0653944851914993
1430.8801378781296480.2397242437407050.119862121870352
1440.7770200725642490.4459598548715020.222979927435751
1450.6778297319440750.644340536111850.322170268055925


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level370.274074074074074NOK
5% type I error level910.674074074074074NOK
10% type I error level1080.8NOK