Multiple Linear Regression - Estimated Regression Equation
TimeRfc[t] = + 13281.2265081256 + 809.059591149098Logins[t] + 1115.8229488644Bloggedcomp[t] + 0.38221752912699Totsize[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)13281.22650812564534.9000112.92870.0036810.001841
Logins809.05959114909881.2790289.954100
Bloggedcomp1115.822948864496.86089311.519800
Totsize0.382217529126990.0863674.42551.4e-057e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.890408055254427
R-squared0.792826504861971
Adjusted R-squared0.790630319401144
F-TEST (value)361.001618034283
F-TEST (DF numerator)3
F-TEST (DF denominator)283
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation37710.2040390633
Sum Squared Residuals402442835292.984


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
110164593119.64817704348525.35182295659
210101184801.678351157916209.3216488421
3717627579.1351016079-20403.1351016079
496560130423.793587566-33863.793587566
5175824178738.154271196-2914.15427119627
6341570298850.17876284342719.8212371565
710359787290.581347277516306.4186527225
8112611107988.0267258664622.97327413375
98557491349.5922769732-5775.59227697315
10220801147845.00444515572955.9955548452
1192661120733.067508999-28072.0675089986
12133328135901.726056788-2573.72605678822
1361361110787.234478159-49426.2344781591
14125930127625.024068126-1695.02406812646
158231677413.97784018884902.02215981116
16102010104348.894908489-2338.89490848863
17101523136431.956777765-34908.9567777646
184156646757.102188971-5191.10218897104
1999923128133.990860792-28210.9908607916
202264858990.3771502929-36342.3771502929
214669869242.6833335951-22544.6833335951
22131698157901.355561052-26203.3555610521
239173555739.741775325235995.2582246748
247986386663.8096352128-6800.80963521285
25108043126861.716142192-18818.7161421924
269886664728.482502898734137.5174971013
27120445168416.418366076-47971.4183660761
28116048133624.368738195-17576.3687381952
29250047156404.42555856793642.5744414333
3013608478054.38203750258029.617962498
319249975245.780052295117253.2199477049
3213578198081.385352150237699.6146478498
3374408113220.111541278-38812.1115412778
3481240148806.516792306-67566.5167923063
3513336896212.356064030437155.6439359696
369814672744.400471804725401.5995281953
3779619102870.188684518-23251.1886845178
385919460557.9734020218-1363.97340202183
39139942132536.5102492477405.48975075299
40118612122249.510215801-3637.51021580138
417288064810.86344693318069.1365530669
426547572073.5335806351-6598.53358063506
4399643115611.394474903-15968.3944749035
447196594921.0524794677-22956.0524794677
457727294961.6818857708-17689.6818857708
464928949469.7284437677-180.728443767669
47135131122086.91187947513044.0881205245
48108446104069.5784506684376.42154933214
498974683114.12037888056631.87962111948
504429651843.6087549728-7547.60875497279
517764894031.1277267519-16383.1277267519
52181528108218.50796319973309.4920368007
53134019102947.05871949331071.9412805074
54124064102348.8764926421715.1235073596
559263082846.82289015629783.17710984379
5612184897813.562757034224034.4372429658
575291556100.0337657234-3185.03376572345
588187296064.0803640174-14192.0803640174
595898158744.8778544972236.122145502786
605351546457.61132635087057.38867364915
616081286519.4236916729-25707.4236916729
625637564529.316174163-8154.31617416301
636549068337.2607035502-2847.26070355022
648094946369.614193202434579.3858067976
657630282560.5095330528-6258.5095330528
66104011109884.35382031-5873.35382031034
6798104128113.244402438-30009.2444024376
686798968834.1007015863-845.100701586333
693098931774.9071445285-785.907144528497
70135458134238.7443545911219.2556454094
717350480689.5418204563-7185.54182045633
7263123100940.86139933-37817.8613993304
736125495754.9091727826-34500.9091727826
7474914101791.894882088-26877.8948820881
753177433473.124327728-1699.124327728
768143796234.3348446943-14797.3348446943
7787186108003.181786459-20817.181786459
785009055400.250689032-5310.25068903202
796574599729.1538887744-33984.1538887744
8056653102684.103421495-46031.1034214949
8115839983084.137185915175314.8628140849
824645558345.6344214826-11890.6344214826
837362473626.204762083-2.20476208304231
843839562475.9641426781-24080.9641426781
859189975777.014446931816121.9855530682
86139526185137.703077982-45611.7030779819
875216497454.6877439505-45290.6877439505
885156771766.5060128359-20199.5060128359
897055175547.1846381036-4996.18463810364
908485684914.7771309714-58.7771309714091
91102538132706.946659321-30168.9466593214
928667870177.419819688816500.5801803112
938570986050.5573117788-341.557311778787
943466267458.6168880812-32796.6168880812
95150580123130.56736378627449.4326362139
9699611104583.917012824-4972.91701282416
971934938175.3176219525-18826.3176219525
989937388494.540658923310878.4593410767
998623079433.60744753236796.39255246767
1003083738468.5980860939-7631.59808609391
1013170662418.9643282616-30712.9643282616
1028980688081.4843330541724.51566694602
1036208864066.8457813747-1978.84578137469
1044015159614.4913381298-19463.4913381298
1052763433925.8323814089-6291.83238140888
1067699091189.9930300134-14199.9930300134
1073746036470.2621993063989.737800693742
1085415777057.6093279313-22900.6093279313
1094986276075.5887373409-26213.5887373409
1108433786100.7238398586-1763.72383985858
1116417596876.4628391058-32701.4628391058
1125938295322.1909589611-35940.1909589611
11311930882312.553001161136995.4469988389
11476702110823.420523233-34121.4205232333
11510342596264.52882567947160.47117432064
1167034469298.96949947481045.03050052519
1174341037527.06633051145882.93366948858
118104838115427.51380375-10589.5138037503
1196221569376.4100662129-7161.41006621293
1206930490907.3717767941-21603.3717767941
1215311746922.31516963126194.68483036885
1221976436346.6863180972-16582.6863180972
1238668088131.6054357621-1451.60543576211
1248410556096.781008444128008.2189915559
1257794570364.8622954087580.13770459203
1268911397455.7607907773-8342.76079077732
1279100581361.68298020699643.31701979309
1284024837233.55578599373014.4442140063
1296418753987.277039820610199.7229601794
1305085761129.4665512901-10272.4665512901
1315661348455.70533899388157.29466100623
132210907189655.87183078621251.1281692135
133120982155712.990071171-34730.9900711711
134176508155690.88903566320817.1109643365
135179321244474.147022698-65153.1470226976
136123185114981.1812832858203.81871671459
1375274659691.1459021684-6945.1459021684
138385534268282.735262847117251.264737153
1393317037677.3572844731-4507.35728447305
140149061141263.9745486547797.0254513461
141165446139001.08377892326444.9162210767
142237213193578.45816922143634.5418307788
143173326207844.623187519-34518.6231875186
144133131128965.2114321964165.78856780443
145258873208617.4955720650255.5044279397
146180083157560.33033355722522.6696664429
147324799351506.851100436-26707.8511004361
148230964221125.2042410879838.79575891348
149236785234265.5019907632519.49800923715
150135473176036.217241978-40563.217241978
151202925234827.868638584-31902.8686385842
152215147210764.2113251644382.78867483609
153344297189085.076469017155211.923530983
154153935120826.84614612733108.1538538728
155132943175523.123999716-42580.1239997159
156174724251376.749477188-76652.7494771879
157174415207271.908077982-32856.9080779821
158225548226889.505812543-1341.50581254285
159223632217273.6186539646358.38134603632
160124817109831.68676820114985.3132317988
161221698196614.74338630325083.2566136973
162210767211614.310057105-847.310057105247
163170266140825.90358750429440.0964124957
164260561235634.03544410824926.9645558916
16584853104285.777068128-19432.7770681279
166294424233764.65645631160659.3435436887
167215641151054.10402352164586.8959764791
168325107217384.61530629107722.38469371
169167542153710.87988987713831.1201101226
17010640886254.874577919620153.1254220804
171265769270293.61536297-4524.6153629696
172269651212561.19379171857089.8062082821
173149112144228.6222283364883.37777166391
174152871156576.359614786-3705.35961478615
175111665103344.6027387228320.39726127823
176116408127927.150389229-11519.1503892287
177362301232854.224891883129446.775108117
1787880082203.5977357984-3403.5977357984
179183167199895.325597025-16728.3255970254
180277965266764.83653819511200.1634618047
181150629171089.663170006-20460.6631700064
182168809179100.742292376-10291.7422923765
1832418843899.4345849247-19711.4345849247
184329267355223.939182828-25956.9391828279
1856502962909.08427442532119.91572557473
186101097110652.406698454-9555.40669845449
187218946162088.70193360756857.298066393
188244052235865.7805879818186.21941201928
189233328268879.07277942-35551.0727794199
190256462275686.079265615-19224.0792656153
191206161182353.95554642823807.0444535719
192311473297199.94280821114273.0571917894
193235800263518.417529945-27718.4175299454
194177939158890.18210114819048.8178988518
195207176165658.61245183741517.3875481628
196196553141556.40593170254996.5940682985
197174184157592.54706707916591.452932921
198143246212146.028019902-68900.0280199024
199187559222961.35098565-35402.3509856503
200187681226171.945574619-38490.9455746189
201119016217086.192925123-98070.192925123
202182192168046.55909589914145.4409041006
2037356672364.23437370771201.76562629226
204194979165375.53733263729603.4626673625
205167488158686.4408179858801.55918201488
206143756194068.315289246-50312.3152892459
207275541229284.50795897346256.4920410273
208243199208668.64920705134530.3507929491
209182999252284.129976717-69285.1299767168
210135649184712.761375807-49063.7613758066
211152299148799.0974311443499.90256885626
212120221119109.9352772661111.06472273403
213346485258323.47521591288161.524784088
214145790112515.42985343233274.5701465678
215193339220325.265562324-26986.2655623237
21680953109824.961715437-28871.9617154369
21712277482578.788303204640195.2116967954
218130585161707.897722565-31122.8977225649
219286468227669.18812379558798.8118762048
220241066189021.46067896752044.5393210334
221148446286024.512099029-137578.512099029
222204713162324.84715077542388.1528492251
223182079241928.921455706-59849.9214557061
224140344112749.92167035527594.0783296448
225220516194121.69049089626394.3095091043
226243060171706.6003689371353.3996310701
227162765161025.1871789491739.8128210513
228182613188191.176740428-5578.17674042821
229232138271400.044391396-39262.0443913961
230265318274991.818981816-9673.81898181647
231310839295035.3099585315803.6900414701
232225060234272.342865752-9212.34286575223
233232317238263.911942966-5946.91194296578
234144966187639.882156861-42673.8821568606
2354328755835.776018756-12548.776018756
236155754160742.666778256-4988.66677825631
237164709225397.995550398-60688.9955503984
238201940198471.9760592033468.02394079659
239235454274954.311853346-39500.3118533456
24099466158578.967130122-59112.9671301224
241100750217988.658502137-117238.658502137
242224549160107.77680377964441.2231962212
243243511257862.069645347-14351.0696453472
2442293835208.1278800097-12270.1278800097
245152474209208.189244712-56734.1892447123
2466185768789.0015786275-6932.00157862751
247132487141245.730163599-8758.7301635987
248317394247235.46440530470158.5355946965
2492105431016.2677493724-9962.26774937236
250209641153543.84328327956097.1567167211
2513141454133.5544606742-22719.5544606742
252244749228786.83474088115962.1652591194
253184510166642.03354305717867.9664569428
254128423136197.410785284-7774.41078528403
25597839108149.553191703-10310.553191703
2563821461995.6141720564-23781.6141720564
257151101124534.57335151526566.4266484845
258272458213310.13231430559147.8676856949
259172494139813.47184307232680.5281569277
260328107250153.1738830977953.8261169095
261250579265044.701362637-14465.7013626371
262351067323569.10807693627497.891923064
263158015129799.04105887328215.9589411269
2648543997444.6424427896-12005.6424427896
265229242318473.165289466-89231.1652894664
266351619275762.91821446575856.081785535
2678420794865.7718692975-10658.7718692975
268324598280262.12420847844335.8757915215
269131069139621.06928966-8552.06928966044
270204271178263.83924455726007.1607554429
271165543163712.7440347391830.25596526141
272141722139331.6438366372390.35616336257
273299775229502.96495612470272.0350438761
274195838230472.939330851-34634.9393308514
275173260124233.7380035949026.2619964101
276254488253995.403869794492.596130205702
277104389247708.131074872-143319.131074872
278199476218744.247883559-19268.2478835594
279224330276338.212677095-52008.2126770949
2801468828137.2103930061-13449.2103930061
281181633146999.1117178934633.8882821104
282271856239257.20774939532598.7922506049
283719925765.6507238067-18566.6507238067
2844666045214.0158299561445.98417004399
2851754718827.1104832237-1280.11048322368
2869522795367.0807256269-140.080725626946
287152601131431.43888383921169.5611161607


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.1598562200179780.3197124400359570.840143779982022
80.06721543042884020.134430860857680.93278456957116
90.03010724342613720.06021448685227450.969892756573863
100.2528945111686190.5057890223372390.747105488831381
110.2809896169385230.5619792338770460.719010383061477
120.2067970362797710.4135940725595420.793202963720229
130.176994185462710.3539883709254190.82300581453729
140.1170698544542650.234139708908530.882930145545735
150.07439475296657480.148789505933150.925605247033425
160.06007769011514110.1201553802302820.939922309884859
170.1483539226029090.2967078452058180.851646077397091
180.1035598179419950.207119635883990.896440182058005
190.08621526807964710.1724305361592940.913784731920353
200.09477578719518820.1895515743903760.905224212804812
210.06737922564357360.1347584512871470.932620774356426
220.06306936665484910.1261387333096980.936930633345151
230.08763545260886890.1752709052177380.912364547391131
240.06217614181688710.1243522836337740.937823858183113
250.04594772587658990.09189545175317990.95405227412341
260.06079949025837830.1215989805167570.939200509741622
270.08233616413261750.1646723282652350.917663835867382
280.06318286303631040.1263657260726210.93681713696369
290.1714734861689710.3429469723379420.828526513831029
300.2429630954363310.4859261908726610.757036904563669
310.2108661390946130.4217322781892260.789133860905387
320.2227553635369490.4455107270738980.777244636463051
330.2268217452982710.4536434905965430.773178254701729
340.3433367784807870.6866735569615750.656663221519213
350.3359155446680690.6718310893361370.664084455331931
360.3020510133824330.6041020267648650.697948986617567
370.2628208360847780.5256416721695560.737179163915222
380.2335746312055560.4671492624111110.766425368794444
390.2007343686594310.4014687373188620.799265631340569
400.166152739997570.3323054799951390.83384726000243
410.1360258243001090.2720516486002180.863974175699891
420.1418787181443390.2837574362886780.858121281855661
430.1270932288560410.2541864577120820.872906771143959
440.1189396690258410.2378793380516820.881060330974159
450.09890006791072490.197800135821450.901099932089275
460.07917653294531250.1583530658906250.920823467054688
470.06619504068487910.1323900813697580.933804959315121
480.05181375396032410.1036275079206480.948186246039676
490.04074888427493930.08149776854987860.959251115725061
500.03149319534746630.06298639069493270.968506804652534
510.02456247522313320.04912495044626650.975437524776867
520.05610710269317290.1122142053863460.943892897306827
530.05457552706509390.1091510541301880.945424472934906
540.04838507546994660.09677015093989320.951614924530053
550.03909569393649780.07819138787299570.960904306063502
560.03367541508293120.06735083016586230.966324584917069
570.02630237423746340.05260474847492690.973697625762537
580.02100458793706460.04200917587412930.978995412062935
590.01616282559772280.03232565119544560.983837174402277
600.01238852420929630.02477704841859250.987611475790704
610.01061654384973010.02123308769946020.98938345615027
620.008351383541614290.01670276708322860.991648616458386
630.006157391344386960.01231478268877390.993842608655613
640.006046527894821230.01209305578964250.993953472105179
650.004522266223153060.009044532446306120.995477733776847
660.003508468530561010.007016937061122010.996491531469439
670.003079728970822260.006159457941644520.996920271029178
680.0022339605651840.004467921130367990.997766039434816
690.001590260671007330.003180521342014650.998409739328993
700.0011640935980290.002328187196058010.998835906401971
710.0008419477463050280.001683895492610060.999158052253695
720.0009714775970373510.00194295519407470.999028522402963
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740.0009308737142611710.001861747428522340.999069126285739
750.0006527926829919710.001305585365983940.999347207317008
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780.0002757003269485160.0005514006538970330.999724299673051
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1525.03157780557831e-091.00631556111566e-080.999999994968422
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1548.88005476601428e-061.77601095320286e-050.999991119945234
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1680.0001573014542430880.0003146029084861750.999842698545757
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1762.43167205208071e-054.86334410416142e-050.999975683279479
1770.0006985726080367450.001397145216073490.999301427391963
1780.0005215833992081160.001043166798416230.999478416600792
1790.0004246894744676210.0008493789489352410.999575310525532
1800.0003288664881592040.0006577329763184080.999671133511841
1810.0002722147324398040.0005444294648796080.99972778526756
1820.0002055627329371680.0004111254658743360.999794437267063
1830.0001671853707353680.0003343707414707360.999832814629265
1840.000141650137396310.0002833002747926190.999858349862604
1850.000101232747103950.0002024654942079010.999898767252896
1867.44824594811577e-050.0001489649189623150.999925517540519
1870.0001022528849956470.0002045057699912950.999897747115004
1887.71297832275339e-050.0001542595664550680.999922870216773
1897.86378154159409e-050.0001572756308318820.999921362184584
1906.27710445613849e-050.000125542089122770.999937228955439
1914.90203828860326e-059.80407657720652e-050.999950979617114
1923.66066334830302e-057.32132669660604e-050.999963393366517
1933.36251250828305e-056.7250250165661e-050.999966374874917
1942.50250285890656e-055.00500571781313e-050.999974974971411
1952.51974720031571e-055.03949440063142e-050.999974802527997
1963.3933994572436e-056.7867989144872e-050.999966066005428
1972.46526369331169e-054.93052738662339e-050.999975347363067
1985.95399145296033e-050.0001190798290592070.99994046008547
1995.73595098208283e-050.0001147190196416570.999942640490179
2005.94288579289341e-050.0001188577158578680.999940571142071
2010.0003833984724261130.0007667969448522260.999616601527574
2020.00028527228801950.0005705445760390.99971472771198
2030.0002045607457539470.0004091214915078950.999795439254246
2040.000172070748118030.000344141496236060.999827929251882
2050.0001230272244061130.0002460544488122270.999876972775594
2060.0001559538564537630.0003119077129075260.999844046143546
2070.0001781803661934680.0003563607323869370.999821819633807
2080.0001624226675541390.0003248453351082780.999837577332446
2090.0003508482291466370.0007016964582932740.999649151770853
2100.0004227763685514320.0008455527371028640.999577223631449
2110.0003018291754454850.000603658350890970.999698170824554
2120.000213473206793360.000426946413586720.999786526793207
2130.000828385471436950.00165677094287390.999171614528563
2140.0007270344751702370.001454068950340470.99927296552483
2150.0006058898862923330.001211779772584670.999394110113708
2160.0005278536674742710.001055707334948540.999472146332526
2170.0005033743805214920.001006748761042980.999496625619478
2180.0004414436013184410.0008828872026368820.999558556398682
2190.0006635648153600150.001327129630720030.99933643518464
2200.0008478457343973470.001695691468794690.999152154265603
2210.01678476634734680.03356953269469370.983215233652653
2220.01734710099469360.03469420198938720.982652899005306
2230.02354403533637620.04708807067275240.976455964663624
2240.02085962971508930.04171925943017860.979140370284911
2250.01810425454920170.03620850909840340.981895745450798
2260.03176284881514420.06352569763028830.968237151184856
2270.02517262684143480.05034525368286960.974827373158565
2280.01980213534947350.0396042706989470.980197864650526
2290.01969975451548360.03939950903096730.980300245484516
2300.01538684105394610.03077368210789210.984613158946054
2310.01234701828531320.02469403657062640.987652981714687
2320.009453125960029490.0189062519200590.990546874039971
2330.007159124505071080.01431824901014220.992840875494929
2340.006876700996709870.01375340199341970.99312329900329
2350.005232164622593840.01046432924518770.994767835377406
2360.003853624435389380.007707248870778750.996146375564611
2370.005528043845576450.01105608769115290.994471956154424
2380.004035032506136990.008070065012273990.995964967493863
2390.00429774050847720.008595481016954390.995702259491523
2400.005719411590612680.01143882318122540.994280588409387
2410.05783682092226870.1156736418445370.942163179077731
2420.07064824610312870.1412964922062570.929351753896871
2430.05967098115158660.1193419623031730.940329018848413
2440.0478359839627540.0956719679255080.952164016037246
2450.06662197822076380.1332439564415280.933378021779236
2460.05308207077098950.1061641415419790.946917929229011
2470.04277496104889030.08554992209778060.95722503895111
2480.06089459607519560.1217891921503910.939105403924804
2490.04826883630526090.09653767261052180.951731163694739
2500.05548885911895840.1109777182379170.944511140881042
2510.04734979648504120.09469959297008240.952650203514959
2520.03692351362464020.07384702724928040.96307648637536
2530.02853249961630450.05706499923260910.971467500383695
2540.02142125532958810.04284251065917620.978578744670412
2550.01622141408412520.03244282816825030.983778585915875
2560.01345162447194720.02690324894389450.986548375528053
2570.01028230452096460.02056460904192910.989717695479035
2580.0131329876811920.0262659753623840.986867012318808
2590.01086988236823110.02173976473646210.989130117631769
2600.02627591881729180.05255183763458350.973724081182708
2610.01887310303606180.03774620607212360.981126896963938
2620.01744988911674290.03489977823348580.982550110883257
2630.01445386890202830.02890773780405650.985546131097972
2640.01005483586789220.02010967173578440.989945164132108
2650.6875683355495260.6248633289009490.312431664450474
2660.6410199444338870.7179601111322270.358980055566113
2670.596793813784450.80641237243110.40320618621555
2680.6002790876154440.7994418247691110.399720912384556
2690.5895241396008870.8209517207982260.410475860399113
2700.7697446542974820.4605106914050360.230255345702518
2710.7061966547359430.5876066905281140.293803345264057
2720.9986781923522650.002643615295470380.00132180764773519
2730.9992683012529330.001463397494133110.000731698747066556
2740.9985712525070880.002857494985823040.00142874749291152
2750.99610277254820.0077944549035990.0038972274517995
2760.9992729832523730.001454033495253960.000727016747626982
2770.9985581273903210.002883745219357610.0014418726096788
2780.9946795692128630.01064086157427460.0053204307871373
2790.998368272983180.003263454033640260.00163172701682013
2800.9940994226969780.01180115460604330.00590057730302163


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1660.605839416058394NOK
5% type I error level2010.733576642335766NOK
10% type I error level2180.795620437956204NOK