Multiple Linear Regression - Estimated Regression Equation
compendiums_reviewed[t] = + 9.3962816865331 + 4.26330107675588e-05time_in_rfc[t] + 0.0157801883176632logins[t] + 0.0894954454919286blogged_computations[t] + 7.28068185122387e-05totsize[t] -0.00122024405901835pageviews[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9.39628168653310.80817411.626600
time_in_rfc4.26330107675588e-051.2e-053.49920.0005420.000271
logins0.01578018831766320.016860.9360.3500820.175041
blogged_computations0.08949544549192860.0195174.58567e-063e-06
totsize7.28068185122387e-051.5e-054.9171e-061e-06
pageviews-0.001220244059018350.001209-1.00930.3137150.156857


Multiple Linear Regression - Regression Statistics
Multiple R0.814876478594115
R-squared0.664023675365946
Adjusted R-squared0.658087697898913
F-TEST (value)111.864251347617
F-TEST (DF numerator)5
F-TEST (DF denominator)283
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation6.19540083937017
Sum Squared Residuals10862.3866116126


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
13032.7865203690968-2.7865203690968
22825.74114180662662.25885819337339
33827.328153814657610.6718461853424
43032.8283909733039-2.82839097330393
52221.35801594751830.641984052481698
62616.46209247645729.53790752354276
72542.8847441005494-17.8847441005494
81812.39175205281575.60824794718429
91116.3071527908029-5.30715279080286
102626.8204463351011-0.820446335101057
112525.5859645234341-0.585964523434056
123830.4827218885577.51727811144304
134429.267012621004814.7329873789952
143022.41009637139097.58990362860909
154033.87535266450916.1246473354909
163425.85509497852498.14490502147509
174741.99376044743045.00623955256955
183036.8694211223609-6.86942112236093
193133.0226743882429-2.02267438824293
202329.1481803911179-6.14818039111793
213635.3630756866180.636924313381964
223633.38074716867822.61925283132181
233034.6077344772582-4.60773447725816
242524.2385203100470.761479689953032
253928.649141758409910.3508582415901
263431.2679200132032.73207998679704
273128.34842326986492.65157673013514
283131.3706663246675-0.37066632466752
293332.77030949786180.229690502138152
302520.30109653463984.69890346536021
313332.4136683016890.586331698310998
323534.24814678048720.75185321951276
334225.032854023667516.9671459763325
344336.3444713627726.65552863722797
353020.3997735849869.60022641501401
363337.1369672222254-4.13696722222541
371317.9197761661896-4.91977616618959
383227.36606554112774.63393445887234
393634.85553042625261.14446957374737
4009.84711808096687-9.84711808096687
412825.06961840657972.93038159342025
421418.566928062179-4.56692806217905
431717.9573962297395-0.957396229739516
443234.5905762180553-2.59057621805533
453033.1882899009396-3.18828990093955
463524.443698999136610.5563010008634
472023.2964995532321-3.29649955323211
482826.23819969298621.76180030701378
492820.37158549539037.62841450460971
503921.014033559107517.9859664408925
513435.5971780602984-1.59717806029839
522616.49321053711469.50678946288542
533930.1904185506658.80958144933501
543938.95305020353910.0469497964608869
553327.24181671651615.75818328348389
562827.94257363637220.0574263636277504
57411.3501365514129-7.35013655141287
583940.2701872707174-1.27018727071743
591815.77840446994972.22159553005032
601418.2924921943255-4.29249219432546
612929.1825624630289-0.182562463028923
624437.74884402010796.25115597989214
632137.8239602890375-16.8239602890375
641617.2829488409207-1.28294884092071
652835.1631707905377-7.1631707905377
663538.2462602078163-3.24626020781635
672829.1821739424033-1.18217394240329
683841.6722341733666-3.67223417336664
692338.1728889763213-15.1728889763213
703624.064481364173511.9355186358265
713228.29581364934383.70418635065617
722927.78427016632431.21572983367569
732526.4250717583089-1.42507175830894
742729.0657352168489-2.06573521684891
753628.59741601715817.40258398284191
762833.1088626286137-5.10886262861366
772330.0313305612224-7.03133056122241
784027.604868937076912.3951310629231
792315.56355426005347.43644573994659
804027.832329984062312.1676700159377
812827.80671575416450.193284245835516
823428.93960975588285.06039024411724
833337.0337718584168-4.03377185841676
842833.5341237440986-5.53412374409855
853439.7356139784901-5.73561397849014
863027.53067909603062.4693209039694
873325.00972208304737.99027791695272
882221.3124845615780.687515438421954
893840.2505762437467-2.25057624374669
902620.50074355125455.4992564487455
913531.97639335414613.02360664585392
92820.6881886906994-12.6881886906994
932416.63411224373087.36588775626921
942927.34260911058231.65739088941773
952019.76201608761920.237983912380784
962931.8473657317676-2.84736573176763
974530.127031104522414.8729688954776
983735.37015596393551.62984403606447
993326.02500934614156.9749906538585
1003334.7552372712964-1.75523727129639
1012521.14315497248663.85684502751335
1023229.62566457835782.37433542164222
1032931.6877384526375-2.68773845263748
1042829.9990935775196-1.99909357751956
1052833.466620233246-5.46662023324604
1063141.7399174733668-10.7399174733668
1075237.314724695499314.6852753045007
1082117.08503225784243.91496774215761
1092444.123178554241-20.123178554241
1104134.35938615230426.64061384769584
1113337.8429945998425-4.84299459984254
1123222.37291249369139.62708750630872
1131915.07681163785223.92318836214783
1142024.4546554906942-4.45465549069416
1153129.87546064814651.12453935185347
1163132.1547381800453-1.15473818004534
1173237.9850063244723-5.98500632447229
1181825.1727644549572-7.17276445495718
1192329.8852503244235-6.88525032442346
1201718.5140501803045-1.51405018030448
1212021.9983771358476-1.99837713584765
1221215.1351359228729-3.13513592287291
1231719.0895510803877-2.08955108038773
1243030.9487985198275-0.948798519827486
1253131.666699502464-0.666699502463993
1261016.3552272875718-6.35522728757182
1271318.9667997626112-5.96679976261121
1282222.5606547000655-0.560654700065512
1294237.80711931619434.19288068380574
130111.2138678535453-10.2138678535453
131911.7747399037624-2.77473990376238
1323229.22416978776592.77583021223411
1331115.6715676039631-4.67156760396314
1342518.56388253251686.43611746748325
1353623.320293221342412.6797067786576
1363138.3993165577847-7.39931655778473
137010.4943572692715-10.4943572692715
1382429.4869413352323-5.48694133523233
1391314.2072332477583-1.20723324775829
140813.126148151295-5.12614815129503
1411313.1230440361776-0.123044036177633
1421924.1292409577861-5.1292409577861
1431814.41063871190583.58936128809424
1443332.38703426321230.61296573678767
1454029.862055763273910.1379442367261
1462216.25970874769515.74029125230489
1473824.024854138159813.9751458618402
1482421.91684267390942.08315732609064
149812.9395486839614-4.93954868396144
1503524.916766135776910.0832338642231
1514335.18432832344577.81567167655433
1524326.643294057820616.3567059421794
1531419.7898739839127-5.78987398391266
1544140.18268551386370.817314486136327
1553838.1723645279691-0.172364527969139
1564550.0262136485396-5.02621364853959
1573125.83341069551025.16658930448983
1581316.5514057044876-3.55140570448758
1592819.40145159393338.59854840606669
1603132.715938609111-1.71593860911104
1614039.06962788321510.930372116784881
1623021.5295700989028.47042990109797
1631621.5998301014872-5.59983010148718
1643740.9899532918694-3.98995329186942
1653022.06167665058927.93832334941083
1663530.66326286491344.33673713508659
1673225.42787092896246.5721290710376
1682722.58361331583074.41638668416925
1692021.1070234145872-1.10702341458724
1701828.7190286073214-10.7190286073214
1713134.9339181389151-3.93391813891507
1723134.1876714400036-3.18767144000357
1732121.6743259089586-0.674325908958588
1743937.02918532634671.97081467365332
1754133.99396703060067.00603296939941
1761318.1395327886248-5.13953278862478
1773233.9635471350946-1.96354713509459
1781816.46748328161171.53251671838829
1793939.1485994604133-0.148599460413319
1801419.9823261602118-5.98232616021175
181717.1394984355917-10.1394984355917
1821720.4595637629489-3.45956376294886
183010.7241839615138-10.7241839615138
1843025.1370053367594.86299466324104
1853733.40635854773053.59364145226949
186010.3440033478029-10.3440033478029
187512.6465647288162-7.64656472881622
188110.3370492252172-9.33704922521723
1891619.3463866568554-3.34638665685541
1903218.771903196833413.2280968031666
1912424.4992861035039-0.499286103503863
1921716.28605600147150.713943998528463
1931117.0519081978476-6.05190819784757
1942414.17231081017559.82768918982446
1952223.994933773113-1.99493377311297
1961220.4897377649168-8.48973776491682
1971914.92084335416984.07915664583015
1981318.1762311756651-5.17623117566507
1991719.750784646092-2.75078464609199
2001518.2953852490063-3.29538524900633
2011616.5690453682446-0.56904536824462
2022413.339694341916810.6603056580832
2031520.3981298241669-5.39812982416686
2041718.80298728852-1.80298728852004
2051816.24308873668441.75691126331558
2062013.24347233743666.75652766256342
2071616.4797680072325-0.479768007232464
2081621.9277653172624-5.92776531726235
2091819.4196704487901-1.41967044879011
2102219.35536213426172.64463786573829
211816.2704405749206-8.27044057492063
2121719.2138331216242-2.21383312162422
2131814.66282987461093.33717012538912
2141617.6131550327111-1.61315503271111
2152314.23771006308618.76228993691386
2162212.60581254507699.39418745492307
2171315.2796365167378-2.27963651673782
2181315.292850282167-2.29285028216705
2191615.46917616201630.530823837983671
2201614.72259744558691.27740255441309
2212016.77494060274473.2250593972553
2222219.57913767479742.42086232520257
2231718.7155951489349-1.71559514893491
2241816.28137629931851.71862370068148
2251711.32098198345125.67901801654878
2261219.515503414266-7.51550341426597
227716.7234088786036-9.72340887860359
2281717.6025123136016-0.602512313601629
2291415.4772981288132-1.47729812881321
2302319.22265005269423.7773499473058
2311710.64917268200046.35082731799956
2321417.4432075374243-3.44320753742431
2331518.4557147831871-3.45571478318712
2341713.91388882348353.08611117651651
2352116.94057648551374.05942351448632
2361817.11682689740210.883173102597933
2371819.7061905925361-1.70619059253609
2381713.66219172058513.33780827941486
2391715.73830649192551.26169350807449
2401613.3903134713112.60968652868897
2411516.8430321510554-1.84303215105536
2422121.6871883395878-0.687188339587797
2431615.62486378201850.37513621798147
2441415.2483195030046-1.24831950300459
2451516.1554420678486-1.15544206784856
2461717.7964105977077-0.796410597707743
2471520.4582591044573-5.45825910445732
2481516.0592622113881-1.05926221138812
2491017.087884696549-7.08788469654904
250614.8447203858453-8.84472038584534
2512220.81779945673791.18220054326213
2522119.94970780687811.05029219312191
253111.5708990517671-10.5708990517671
2541816.28929008075991.7107099192401
2551715.60805652938941.39194347061057
256411.3652126689113-7.36521266891131
2571014.4611487280305-4.46114872803049
2581617.2646422769741-1.2646422769741
2591614.11892077116521.88107922883484
260913.3932353744652-4.39323537446517
2611610.78881491060135.21118508939871
2621717.6079367027873-0.60793670278727
263711.4074429252572-4.40744292525716
2641515.797424716383-0.797424716383025
2651415.4959155365-1.49591553650001
2661417.5444463628489-3.54444636284894
2671816.68015816511791.31984183488213
2681216.4130386268707-4.41303862687066
2691618.6817905940155-2.68179059401552
2702118.99737043901482.00262956098521
2711916.46966960179382.53033039820619
2721615.91141665331680.0885833466831916
273111.4263982647982-10.4263982647982
2741619.4921426642605-3.49214266426051
2751015.2159663423277-5.2159663423277
2761916.73538329445732.26461670554271
2771213.9047815489292-1.90478154892916
278211.3942124893365-9.39421248933654
2791417.1111418838542-3.11114188385416
2801715.38465924685721.61534075314283
2811916.29718514397072.70281485602927
2821420.4604481003086-6.46044810030859
2831117.2218968242963-6.22189682429629
284411.8326931377428-7.83269313774278
2851614.13773822257251.86226177742754
2862014.77248833141455.22751166858554
2871213.036577578845-1.03657757884505
2881516.4563137937969-1.45631379379695
2891614.56275937733481.43724062266522


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.6849158460122230.6301683079755540.315084153987777
100.6643854867997290.6712290264005420.335614513200271
110.537392946204430.9252141075911410.46260705379557
120.7873818262031930.4252363475936140.212618173796807
130.8644045763549620.2711908472900760.135595423645038
140.8584788450688570.2830423098622860.141521154931143
150.910687048238230.1786259035235390.0893129517617695
160.8938149279871350.2123701440257290.106185072012865
170.8993686721775740.2012626556448520.100631327822426
180.8896679287182270.2206641425635450.110332071281773
190.8682506712208610.2634986575582780.131749328779139
200.8983424447684460.2033151104631070.101657555231554
210.8631532995324560.2736934009350880.136846700467544
220.8318194546763270.3363610906473460.168180545323673
230.7864831102036150.4270337795927690.213516889796384
240.7331072167879470.5337855664241070.266892783212053
250.7615547291122080.4768905417755840.238445270887792
260.7287463588387220.5425072823225560.271253641161278
270.6748103430152560.6503793139694870.325189656984744
280.6217447799597910.7565104400804180.378255220040209
290.5737407570103470.8525184859793050.426259242989653
300.5158850260510870.9682299478978250.484114973948913
310.4554345018188470.9108690036376930.544565498181153
320.3996141743336680.7992283486673350.600385825666332
330.6982876087624370.6034247824751250.301712391237562
340.6964569094394960.6070861811210070.303543090560504
350.6800661203269420.6398677593461160.319933879673058
360.6343279030658950.731344193868210.365672096934105
370.715777150267770.5684456994644590.28422284973223
380.6977294981312820.6045410037374360.302270501868718
390.6628759752699960.6742480494600070.337124024730004
400.8656840869480530.2686318261038940.134315913051947
410.8377688030090490.3244623939819020.162231196990951
420.8387258310782240.3225483378435510.161274168921776
430.8217571228372070.3564857543255850.178242877162793
440.8127049718982740.3745900562034520.187295028101726
450.7817717089450950.436456582109810.218228291054905
460.8117131285724370.3765737428551270.188286871427563
470.7912341068690350.4175317862619310.208765893130966
480.7569507437104560.4860985125790880.243049256289544
490.7548915722684370.4902168554631250.245108427731563
500.8946710265728280.2106579468543440.105328973427172
510.8732849487266450.253430102546710.126715051273355
520.8744693652616470.2510612694767050.125530634738353
530.8797344605472780.2405310789054450.120265539452722
540.8579027437341320.2841945125317370.142097256265868
550.8414145832617430.3171708334765150.158585416738257
560.8172833123322420.3654333753355150.182716687667758
570.8706649767336250.258670046532750.129335023266375
580.8488330647689270.3023338704621470.151166935231073
590.8245522587811690.3508954824376620.175447741218831
600.8262713827488880.3474572345022240.173728617251112
610.798991858436310.402016283127380.20100814156369
620.7839116585753810.4321766828492390.216088341424619
630.9126067321682560.1747865356634870.0873932678317436
640.8984332231897410.2031335536205190.101566776810259
650.9100331459647750.1799337080704510.0899668540352254
660.9006212487329840.1987575025340310.0993787512670156
670.8834555588562840.2330888822874330.116544441143716
680.8689686871113250.262062625777350.131031312888675
690.9512623095880170.09747538082396570.0487376904119828
700.9692603940377880.06147921192442480.0307396059622124
710.964144727357790.07171054528441910.0358552726422095
720.9559946938121610.08801061237567840.0440053061878392
730.948415110894910.1031697782101790.0515848891050897
740.9406988632001780.1186022735996430.0593011367998217
750.9424484765892570.1151030468214870.0575515234107434
760.9424710446737520.1150579106524970.0575289553262484
770.9516890879565890.09662182408682210.048310912043411
780.9701004517852930.05979909642941350.0298995482147067
790.9684026251236260.06319474975274760.0315973748763738
800.9807332452779780.03853350944404420.0192667547220221
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1300.9964358587121450.007128282575710470.00356414128785524
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1800.9996452317515670.0007095364968658570.000354768248432928
1810.999823840172180.0003523196556391930.000176159827819596
1820.9997723342840980.0004553314318037080.000227665715901854
1830.9998883908255620.0002232183488752430.000111609174437621
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1850.9999059544813260.0001880910373479229.40455186739609e-05
1860.9999580346986088.39306027830895e-054.19653013915448e-05
1870.9999679221286796.41557426425737e-053.20778713212869e-05
1880.9999862614574662.74770850673866e-051.37385425336933e-05
1890.9999815154270293.69691459430503e-051.84845729715251e-05
1900.9999990805014841.83899703172772e-069.1949851586386e-07
1910.9999986865867222.62682655558015e-061.31341327779007e-06
1920.999997917915194.16416962048004e-062.08208481024002e-06
1930.9999978395416164.32091676739397e-062.16045838369699e-06
1940.9999985237185172.9525629660762e-061.4762814830381e-06
1950.9999978108172364.37836552774875e-062.18918276387438e-06
1960.9999980784426623.84311467552771e-061.92155733776386e-06
1970.9999975928313764.8143372484968e-062.4071686242484e-06
1980.9999973099605495.38007890215234e-062.69003945107617e-06
1990.999996063461467.87307708027873e-063.93653854013936e-06
2000.9999941957472251.16085055497036e-055.80425277485181e-06
2010.9999910232044441.79535911121433e-058.97679555607164e-06
2020.9999983147483553.37050328993264e-061.68525164496632e-06
2030.9999978351307884.32973842392659e-062.16486921196329e-06
2040.9999966419408136.71611837352731e-063.35805918676365e-06
2050.9999947361810621.05276378766749e-055.26381893833745e-06
2060.9999962910021077.41799578593703e-063.70899789296852e-06
2070.9999941307567221.17384865563413e-055.86924327817064e-06
2080.9999939118089421.21763821155544e-056.08819105777718e-06
2090.9999903419529131.93160941737833e-059.65804708689163e-06
2100.9999894985336932.10029326134458e-051.05014663067229e-05
2110.9999939205789351.21588421299177e-056.07942106495887e-06
2120.9999904347281241.91305437510997e-059.56527187554984e-06
2130.9999887813220812.24373558376743e-051.12186779188372e-05
2140.9999826563714693.46872570626367e-051.73436285313184e-05
2150.9999876382570262.47234859490057e-051.23617429745029e-05
2160.9999962693908967.46121820774156e-063.73060910387078e-06
2170.9999941383140791.17233718420201e-055.86168592101003e-06
2180.9999909554802751.80890394507251e-059.04451972536256e-06
2190.9999865316396332.69367207340045e-051.34683603670022e-05
2200.9999805764597693.88470804620152e-051.94235402310076e-05
2210.9999772772738794.54454522417806e-052.27227261208903e-05
2220.9999654234297966.9153140407464e-053.4576570203732e-05
2230.9999479656583990.0001040686832028455.20343416014225e-05
2240.9999312125537550.0001375748924897526.8787446244876e-05
2250.9999596812701898.06374596214685e-054.03187298107343e-05
2260.9999817796955563.64406088882943e-051.82203044441472e-05
2270.9999919052260991.61895478018625e-058.09477390093127e-06
2280.9999866407854392.6718429121973e-051.33592145609865e-05
2290.9999787204549934.25590900138624e-052.12795450069312e-05
2300.9999723864790435.52270419130778e-052.76135209565389e-05
2310.9999858820613532.82358772940621e-051.41179386470311e-05
2320.999980170363253.96592735000766e-051.98296367500383e-05
2330.9999761588212964.76823574089381e-052.3841178704469e-05
2340.9999747667034125.04665931763082e-052.52332965881541e-05
2350.9999758905959944.82188080125517e-052.41094040062759e-05
2360.9999680081623876.39836752270142e-053.19918376135071e-05
2370.9999512610217019.74779565981607e-054.87389782990803e-05
2380.9999572736425358.54527149299126e-054.27263574649563e-05
2390.99993364278230.0001327144354007656.63572177003823e-05
2400.9999430790663090.0001138418673822145.69209336911072e-05
2410.9999068432179140.0001863135641728689.31567820864342e-05
2420.9998604576196760.0002790847606485980.000139542380324299
2430.9998143605404360.0003712789191287520.000185639459564376
2440.9997181990959630.0005636018080733690.000281800904036684
2450.9995441595358770.0009116809282461330.000455840464123067
2460.9992578664805550.001484267038890050.000742133519445024
2470.9995582583307110.0008834833385785320.000441741669289266
2480.9993023482616010.001395303476797250.000697651738398624
2490.9994716177460120.001056764507976370.000528382253988187
2500.9995609951005990.0008780097988025530.000439004899401276
2510.9993707889220190.001258422155961760.000629211077980878
2520.9990037727559780.001992454488043230.000996227244021617
2530.9990892450630750.001821509873851030.000910754936925513
2540.9984663215432410.003067356913518610.00153367845675931
2550.9974942053522560.005011589295487880.00250579464774394
2560.9970667832193980.005866433561203520.00293321678060176
2570.9954630989750470.009073802049905620.00453690102495281
2580.9927266899913060.01454662001738810.00727331000869405
2590.9919596483577630.0160807032844740.00804035164223701
2600.9876203100192040.02475937996159290.0123796899807964
2610.9942933618878560.01141327622428790.00570663811214393
2620.990720618465770.01855876306845970.00927938153422983
2630.9851765081912060.02964698361758740.0148234918087937
2640.9775679074148530.04486418517029330.0224320925851466
2650.9664201025088930.06715979498221460.0335798974911073
2660.9520886770990650.09582264580187040.0479113229009352
2670.9420113164064020.1159773671871970.0579886835935984
2680.9147095892202910.1705808215594180.0852904107797092
2690.8778657287410710.2442685425178580.122134271258929
2700.8606829611901360.2786340776197290.139317038809864
2710.8525926501447980.2948146997104040.147407349855202
2720.8130887410975620.3738225178048760.186911258902438
2730.8710548541010720.2578902917978560.128945145898928
2740.8082889183533790.3834221632932410.191711081646621
2750.7318094484524760.5363811030950480.268190551547524
2760.6815171066649410.6369657866701180.318482893335059
2770.5661412243428410.8677175513143190.433858775657159
2780.576455570445040.8470888591099210.42354442955496
2790.4353506676413190.8707013352826370.564649332358681
2800.32052925870270.6410585174053990.6794707412973


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1430.525735294117647NOK
5% type I error level1610.591911764705882NOK
10% type I error level1870.6875NOK