Multiple Linear Regression - Estimated Regression Equation
Seconds[t] = + 5972.76744903046 + 0.27235037117809Characters[t] + 253.283122990038Hyperlinks[t] + 396.032831098034Blogs[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5972.767449030463225.3990041.85180.0658990.032949
Characters0.272350371178090.0631944.30972.8e-051.4e-05
Hyperlinks253.283122990038640.3010080.39560.692950.346475
Blogs396.032831098034653.1618780.60630.5451540.272577


Multiple Linear Regression - Regression Statistics
Multiple R0.879836719961434
R-squared0.774112653792494
Adjusted R-squared0.769877266051103
F-TEST (value)182.772558513924
F-TEST (DF numerator)3
F-TEST (DF denominator)160
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation19128.1219022614
Sum Squared Residuals58541607601.2434


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1114468114856.638517607-388.638517607226
28859478875.96848919149718.03151080863
37415167288.68331717796862.3166828221
47792198585.2183698733-20664.2183698733
55321247601.00900980695610.99099019314
63495641696.137267446-6740.13726744597
7149703109108.10394969940594.8960503011
8685315430.8421349295-8577.84213492953
95890767962.5871398461-9055.58713984613
106706762124.03789012874942.96210987126
1111056384101.576733409726461.4232665902
125812669556.9124937419-11430.9124937419
135711355429.57875574791683.42124425209
147799398432.9716822263-20439.9716822263
156809162543.07610699825547.92389300184
16124676104444.13379026820231.8662097319
17109522114302.204052652-4780.20405265158
187586574120.24369263491744.75630736506
1979746101657.695470321-21911.6954703207
207784496647.2521886822-18803.2521886822
219868191994.02086198526686.97913801478
2210553186330.012808787919200.9871912121
235142843611.59637816037816.40362183975
246570390941.171498793-25238.171498793
257256289644.1327490748-17082.1327490748
268172871412.089609238510315.9103907615
279558078830.009445019716749.9905549803
289827885196.697575916913081.3024240831
294662943189.8590522093439.14094779101
3011518982789.02228710432399.977712896
3112486591663.700805515333201.2991944847
325939280763.9557117746-21371.9557117746
3312781885126.297781149342691.7022188507
341782125786.7469902291-7965.7469902291
35154076120672.67242227833403.3275777218
366488152424.497429368412456.5025706316
3713650673620.875622075662885.1243779244
386652461832.14090841924691.85909158075
394598835402.42520909110585.574790909
4010744585374.948225623722070.0517743763
4110277274215.282975400928556.717024599
424665758027.2428770638-11370.2428770638
439756359237.671486541738325.3285134583
443666344160.412323078-7497.41232307802
455536943447.173089142811921.8269108572
467792171222.65375204746698.34624795262
475696828604.679945634628363.3200543654
487751990306.7339773628-12787.7339773628
49129805119128.0428957510676.9571042504
507276187764.7817889424-15003.7817889424
518127876667.8906310474610.10936895301
521504912138.46383615662910.5361638434
53113935111050.3923481562884.60765184374
542510928473.679417098-3364.67941709799
554582437332.60495882968491.39504117039
568964487547.5252501222096.47474987797
57109011100174.1922149128836.8077850884
58134245170806.415751088-36561.415751088
59136692122253.79700376514438.202996235
605074157020.3364379829-6279.33643798288
61149510111657.24897434937852.7510256508
62147888133060.25387478414827.7461252159
635498748834.44572726186152.55427273824
647446777749.7725875344-3282.77258753444
6510003382539.018365343317493.9816346567
668550568202.740060064217302.2599399358
676242686570.855146653-24144.855146653
688293275056.84290013577875.15709986434
6972002102180.063374287-30178.0633742874
706546971035.6333356658-5566.63333566581
716357266629.3884069547-3057.38840695473
722382428618.9701195283-4794.97011952834
737383164739.69085492319091.30914507688
746355181661.8431581777-18110.8431581776
755675686026.581826096-29270.581826096
768139989315.4549614487-7916.4549614487
7711788196336.557584217821544.4424157822
787071193000.6203094946-22289.6203094946
795049571068.239045033-20573.239045033
805384561214.3195897893-7369.31958978932
815139044922.48133083386467.51866916618
8210495394129.716137589710823.2838624103
836598339811.026005749726171.9739942503
8476839102108.734801827-25269.7348018271
855579259307.3986259745-3515.39862597449
862515527706.6644366863-2551.66443668633
875529180280.0463791937-24989.0463791937
888427961922.15831243422356.841687566
899969247677.648468481652014.3515315184
9059633111860.199006042-52227.1990060424
916324950955.469474227712293.5305257723
9282928120222.534430503-37294.5344305031
935000049516.4464480968483.553551903214
946945574293.0008387852-4838.00083878522
958406886818.0348348979-2750.03483489792
967619580210.9811114937-4015.98111149369
97114634132837.659224961-18203.659224961
98139357136309.2711848053047.72881519534
9911004492188.944778321817855.0552216782
100155118169016.047243062-13898.0472430622
1018306170620.661424145312440.3385758547
102127122128351.607362925-1229.6073629252
1034565331386.896888805214266.1031111948
1041963049704.5779383874-30074.5779383874
1056722959521.52308154997707.47691845008
10686060117468.767047637-31408.7670476366
1078800378602.847455089400.15254492001
1089581593248.04448107042566.95551892959
1098549987384.6221488459-1885.62214884594
1102722055070.9259861059-27850.9259861059
11110988282752.854350487127129.1456495129
1127257984498.9685941581-11919.9685941581
113584113433.3481775353-7592.34817753526
1146836976451.1705183994-8082.17051839941
1152461031766.3435720497-7156.34357204969
1163099555214.5416425401-24219.5416425401
117150662119229.93972705531432.0602729451
11866228802.89083274002-2180.89083274002
1199369476483.046616555217210.9533834448
1201315535140.5874980152-21985.5874980152
12111190878413.996921274333494.0030787257
1225755074719.1504334251-17169.1504334251
1231635638086.0760336509-21730.0760336509
1244017459953.3456458043-19779.3456458043
1251398318751.152520785-4768.15252078499
1265231655161.1176249405-2845.11762494047
1279958594108.3284128595476.67158714099
12886271101640.823361068-15369.823361068
12913101298445.017822704432566.9821772956
130130274111791.80628572418482.1937142756
131159051151850.0408409727200.95915902763
1327650670067.43048833336438.56951166672
1334914535149.553387839713995.4466121603
1346639876980.5843565173-10582.5843565173
135127546118699.1835163798846.81648362136
136680228594.7229830499-21792.7229830499
13799509108820.619128725-9311.61912872531
1384310656764.8036212604-13658.8036212604
13910830386603.967335199121699.0326648009
1406416780132.0727956947-15965.0727956947
141857941031.5941951547-32452.5941951547
1429781186400.325592732111410.6744072679
14384365130785.174887219-46420.1748872187
1441090126107.5730052713-15206.5730052713
1459134687531.28223544993814.71776455014
1463366059292.9451060833-25632.9451060833
1479363490469.6187706723164.38122932799
148109348134875.678724911-25527.678724911
14905972.76744903046-5972.76744903046
150795310859.7135050765-2906.71350507646
15105972.76744903046-5972.76744903046
15205972.76744903046-5972.76744903046
15305972.76744903046-5972.76744903046
15405972.76744903046-5972.76744903046
1556353869510.3649749004-5972.36497490043
15610828195779.658031035212501.3419689648
15705972.76744903046-5972.76744903046
15805972.76744903046-5972.76744903046
159424510316.4071837757-6071.40718377568
1602150916096.72779568485412.27220431519
16176708989.96286853986-1319.96286853986
1621064123989.3325480522-13348.3325480522
16305972.76744903046-5972.76744903046
1644124350816.8214628737-9573.82146287366


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.8169160463958720.3661679072082570.183083953604128
80.7007386708249350.598522658350130.299261329175065
90.57496307803040.8500738439391990.425036921969599
100.4497070583885450.899414116777090.550292941611455
110.3898837566750410.7797675133500830.610116243324959
120.3400856775115560.6801713550231130.659914322488444
130.2492216595504240.4984433191008490.750778340449576
140.3797260442226680.7594520884453370.620273955777332
150.2947932758551950.5895865517103910.705206724144805
160.2279547240542240.4559094481084490.772045275945776
170.1676906646720150.335381329344030.832309335327985
180.1240744361583870.2481488723167750.875925563841613
190.2600000630729910.5200001261459810.739999936927009
200.2487799845773710.4975599691547410.75122001542263
210.1971638320492930.3943276640985860.802836167950707
220.169502692801230.3390053856024610.83049730719877
230.1346426089221810.2692852178443610.865357391077819
240.185273723637790.370547447275580.81472627636221
250.2110246070040410.4220492140080830.788975392995959
260.1740609003070450.3481218006140890.825939099692955
270.1801729711502990.3603459423005980.819827028849701
280.1484994800444360.2969989600888720.851500519955564
290.113867898590520.2277357971810410.88613210140948
300.1571052323589660.3142104647179320.842894767641034
310.2715564171558130.5431128343116260.728443582844187
320.2835047954681680.5670095909363370.716495204531832
330.4766038799015190.9532077598030380.523396120098481
340.4249093000940480.8498186001880950.575090699905952
350.5335457500150390.9329084999699230.466454249984961
360.4933824699582140.9867649399164290.506617530041786
370.879015315108540.2419693697829210.12098468489146
380.850581728444770.2988365431104590.14941827155523
390.8245289588333020.3509420823333950.175471041166698
400.8201515451920850.3596969096158310.179848454807915
410.8364699560174990.3270600879650020.163530043982501
420.8249716356936650.350056728612670.175028364306335
430.8959764274519340.2080471450961330.104023572548066
440.8779170347544580.2441659304910840.122082965245542
450.8590376799176190.2819246401647610.140962320082381
460.8308305415209860.3383389169580280.169169458479014
470.8573984706936020.2852030586127970.142601529306398
480.8548469528032370.2903060943935250.145153047196763
490.8304340696171310.3391318607657380.169565930382869
500.829962517938450.3400749641231010.17003748206155
510.7992360615211460.4015278769577080.200763938478854
520.7642469088193860.4715061823612280.235753091180614
530.7284710607246610.5430578785506780.271528939275339
540.6925689200542480.6148621598915040.307431079945752
550.6550574387394680.6898851225210640.344942561260532
560.6130852657252920.7738294685494160.386914734274708
570.5732841415484720.8534317169030570.426715858451528
580.6839948980117950.632010203976410.316005101988205
590.6663941914593740.6672116170812530.333605808540626
600.641660524030710.716678951938580.35833947596929
610.7378985096125540.5242029807748930.262101490387446
620.7224941525971890.5550116948056220.277505847402811
630.6872041167630630.6255917664738730.312795883236937
640.6555467603190550.6889064793618910.344453239680945
650.6424069288424120.7151861423151770.357593071157588
660.6386904309531890.7226191380936230.361309569046811
670.6955703441831990.6088593116336030.304429655816801
680.6619630134494080.6760739731011830.338036986550592
690.7242858696866690.5514282606266620.275714130313331
700.6923902483944450.615219503211110.307609751605555
710.6548804168845840.6902391662308320.345119583115416
720.6194430021628710.7611139956742570.380556997837129
730.5846980012194250.8306039975611490.415301998780575
740.5855493821357980.8289012357284040.414450617864202
750.6415662758730140.7168674482539720.358433724126986
760.6069506354310820.7860987291378360.393049364568918
770.625344147084840.749311705830320.37465585291516
780.6769364953608110.6461270092783790.323063504639189
790.6870332553041310.6259334893917380.312966744695869
800.6541348527892020.6917302944215950.345865147210798
810.6190866476594270.7618267046811470.380913352340573
820.591073955585230.8178520888295390.40892604441477
830.6290068254289490.7419863491421020.370993174571051
840.657821757433510.684356485132980.34217824256649
850.6185387209416870.7629225581166250.381461279058313
860.5783658919448920.8432682161102160.421634108055108
870.6089929406203190.7820141187593620.391007059379681
880.6410454548999590.7179090902000820.358954545100041
890.8747508875377940.2504982249244120.125249112462206
900.9677273605737370.06454527885252560.0322726394262628
910.9642997825387330.07140043492253410.0357002174612671
920.9817669301444910.03646613971101870.0182330698555093
930.97638515128250.04722969743500080.0236148487175004
940.9695863499977510.06082730000449780.0304136500022489
950.960775333911070.07844933217786040.0392246660889302
960.9502284046433830.09954319071323420.0497715953566171
970.9479752511723490.1040494976553020.0520247488276509
980.935391305363640.1292173892727190.0646086946363596
990.9365647971454840.1268704057090310.0634352028545155
1000.9308844429643770.1382311140712450.0691155570356225
1010.9260868472939630.1478263054120740.0739131527060369
1020.9079959277995240.1840081444009520.092004072200476
1030.9059740132910930.1880519734178140.094025986708907
1040.9316929822783380.1366140354433250.0683070177216624
1050.9197743267572250.1604513464855490.0802256732427746
1060.9535925496699960.09281490066000910.0464074503300045
1070.9451272728443350.1097454543113310.0548727271556654
1080.9307346568317270.1385306863365460.0692653431682732
1090.9165963954155760.1668072091688480.0834036045844238
1100.9358620106282630.1282759787434730.0641379893717366
1110.9615350001684560.07692999966308880.0384649998315444
1120.9560591034018590.08788179319628210.043940896598141
1130.9456013280821790.1087973438356420.0543986719178208
1140.9335062138166890.1329875723666230.0664937861833114
1150.9180010523395640.1639978953208720.081998947660436
1160.9371079122455920.1257841755088160.0628920877544078
1170.9528240353831460.09435192923370820.0471759646168541
1180.9396385382136870.1207229235726250.0603614617863126
1190.9521756752150860.09564864956982780.0478243247849139
1200.9576104372190430.08477912556191480.0423895627809574
1210.9838105666532640.0323788666934720.016189433346736
1220.9796917441390140.04061651172197260.0203082558609863
1230.977285171391470.04542965721706020.0227148286085301
1240.9748855352487310.05022892950253790.025114464751269
1250.9656110132379610.06877797352407840.0343889867620392
1260.9538025750089190.09239484998216190.046197424991081
1270.9401167062416510.1197665875166970.0598832937583486
1280.9358490590590940.1283018818818120.064150940940906
1290.9767543689132850.04649126217342920.0232456310867146
1300.9840970086933190.03180598261336280.0159029913066814
1310.9900681552663250.01986368946735070.00993184473367535
1320.9873546109134560.02529077817308750.0126453890865437
1330.9897832743667670.02043345126646570.0102167256332329
1340.9916618037438560.01667639251228770.00833819625614387
1350.9898791319479510.02024173610409810.0101208680520491
1360.9886979482304780.02260410353904440.0113020517695222
1370.9828264133599010.03434717328019810.0171735866400991
1380.9775312738099090.04493745238018270.0224687261900914
1390.9898966156554340.02020676868913220.0101033843445661
1400.9875001312109580.02499973757808430.0124998687890422
1410.9850471560282460.0299056879435090.0149528439717545
1420.9924858569478160.01502828610436890.00751414305218444
1430.9999699228518296.0154296341945e-053.00771481709725e-05
1440.9999279635450840.000144072909832367.20364549161802e-05
1450.9999149378085230.0001701243829537988.50621914768988e-05
1460.999991149413551.77011728992095e-058.85058644960477e-06
1470.9999998266433913.46713218000892e-071.73356609000446e-07
1480.9999999366245361.26750927932891e-076.33754639664455e-08
1490.9999996678727156.64254570136151e-073.32127285068075e-07
1500.9999988085178512.3829642976573e-061.19148214882865e-06
1510.9999938538107721.22923784569274e-056.14618922846372e-06
1520.9999699497543266.01004913482587e-053.00502456741294e-05
1530.9998616834458150.0002766331083700540.000138316554185027
1540.9994061174009660.001187765198068470.000593882599034233
1550.9975018214639610.004996357072078380.00249817853603919
1560.9958006331574620.008398733685075770.00419936684253789
1570.9794085683350670.0411828633298670.0205914316649335


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level140.0927152317880795NOK
5% type I error level340.225165562913907NOK
10% type I error level480.317880794701987NOK