Multiple Linear Regression - Estimated Regression Equation
I1[t] = + 19.9178742685728 -0.00190990678327006pageviews[t] + 0.00798187645663885logins[t] + 0.00240263112631556compendium_views_info[t] + 0.00957174513234818compendium_views_pr[t] -0.0539187838154629shared_compendiums[t] + 0.00744555764255144blogged_computations[t] + 0.000129572863549165compendiums_reviewed[t] -0.0194555295390768feedback_messages_p1[t] + 0.0194498283309025feedback_messages_p120[t] -7.58925008073996e-06totsize[t] -1.5915369884817e-05totrevisions[t] + 1.8169927990216e-05totseconds[t] + 0.047285835542468tothyperlinks[t] -0.0519368652722589totblogs[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)19.91787426857280.89289222.307200
pageviews-0.001909906783270060.001717-1.11250.2675960.133798
logins0.007981876456638850.0119180.66970.504010.252005
compendium_views_info0.002402631126315560.0036880.65140.5157150.257857
compendium_views_pr0.009571745132348180.0068291.40160.1629890.081494
shared_compendiums-0.05391878381546290.130537-0.41310.6801270.340064
blogged_computations0.007445557642551440.0240260.30990.7570470.378523
compendiums_reviewed0.0001295728635491650.2205126e-040.9995320.499766
feedback_messages_p1-0.01945552953907680.06188-0.31440.7536260.376813
feedback_messages_p1200.01944982833090250.0258070.75370.4521790.22609
totsize-7.58925008073996e-061.4e-05-0.5590.576950.288475
totrevisions-1.5915369884817e-057.1e-05-0.22530.8220450.411022
totseconds1.8169927990216e-051.6e-051.14790.2527460.126373
tothyperlinks0.0472858355424680.0863980.54730.5849440.292472
totblogs-0.05193686527225890.090682-0.57270.5676360.283818


Multiple Linear Regression - Regression Statistics
Multiple R0.187684450932498
R-squared0.0352254531218332
Adjusted R-squared-0.0502608991331943
F-TEST (value)0.412059377814447
F-TEST (DF numerator)14
F-TEST (DF denominator)158
p-value0.969454732372412
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.83746938599091
Sum Squared Residuals2326.73506356996


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11120.1037391852822-9.10373918528224
21520.5254533827416-5.52545338274164
31918.27509511089890.724904889101137
42321.43632577602891.56367422397108
51619.4069859463457-3.40698594634569
62119.61778338472821.38221661527177
72421.1066977302022.89330226979797
81519.4871338305997-4.48713383059967
91720.0963444452249-3.09634444522495
101919.8652847735212-0.865284773521232
111919.6555684837824-0.655568483782406
122519.95907049642485.04092950357518
131919.7726276630971-0.77262766309714
142820.96643325476447.03356674523564
152420.21622591894513.78377408105491
162620.45083250303415.5491674969659
171520.0141118032726-5.01411180327259
182120.22534665187650.774653348123453
192620.98777150526395.01222849473609
201620.0999185126619-4.09991851266191
211620.3910020476635-4.39100204766352
222019.36295362459990.637046375400121
232421.09886933210582.9011306678942
241020.5873555334737-10.5873555334737
251919.8907327508096-0.890732750809556
262519.88905040932715.1109495906729
272219.60352393120622.39647606879384
281520.4976017670557-5.49760176705569
292119.44958037923051.55041962076945
302219.50702744336172.49297255663828
312720.58120130093686.41879869906322
322619.00912472077286.9908752792272
332623.80522318779782.1947768122022
342219.56882430111922.43117569888084
352020.4191399551553-0.41913995515532
362219.99294921742212.00705078257793
372121.6445067113253-0.644506711325309
382219.67984434368812.3201556563119
392019.74983772315120.250162276848813
402119.47792555014331.52207444985671
412020.0089451640567-0.00894516405672422
422522.03330415339872.96669584660126
431820.4648497366594-2.46484973665936
442220.28617410033751.71382589966253
452520.26632095593144.73367904406862
462119.40618658532391.59381341467609
472019.49452024802850.505479751971496
482019.60018382088260.399816179117422
491819.3447595225216-1.34475952252163
50819.61892924892-11.61892924892
512219.89756013296912.10243986703086
522620.51082501470185.48917498529816
531819.2170743840842-1.2170743840842
542019.79573810851350.204261891486488
552419.36228748924284.63771251075724
561719.7904780586159-2.79047805861592
572020.2879624047917-0.287962404791652
582319.49021603732123.50978396267879
592020.1450075223051-0.14500752230508
602221.83812597515330.16187402484667
612018.71322198117291.28677801882708
621920.3292883566626-1.3292883566626
631519.4816160158661-4.48161601586612
642019.56946348529730.430536514702684
652220.13396825111421.86603174888576
661319.5097410473831-6.50974104738313
672020.2637131801119-0.263713180111902
681720.0970192898562-3.09701928985617
691418.9664649903372-4.96646499033725
702219.69057803629082.30942196370917
712419.08160274252564.91839725747436
722220.4835314204531.51646857954701
732319.59334070348633.40665929651373
741719.259318885605-2.25931888560498
752320.31399711287182.68600288712816
762520.14676758037294.85323241962707
771620.0299610155703-4.02996101557033
781819.6527791519478-1.65277915194785
792019.87074627523160.129253724768414
801819.581599445403-1.58159944540303
812419.89705311104264.10294688895737
822319.58413735985293.41586264014707
832419.20208522460694.79791477539307
842319.83886376533483.16113623466525
852319.41275751929683.5872424807032
861319.233735396462-6.23373539646199
872020.9253480308683-0.925348030868254
881820.9619796663117-2.96197966631168
892119.79600917242241.20399082757757
901719.7944465093235-2.79444650932348
912019.38128586527730.61871413472268
921919.61383812472-0.613838124720045
931819.6191654161523-1.61916541615229
941919.520569293207-0.520569293206989
952221.11235587554680.887644124453185
962218.6742059589543.32579404104598
971519.0642766282597-4.06427662825974
981720.4653025841061-3.46530258410606
991920.5306624876252-1.53066248762522
1002019.41398359674880.58601640325124
1012221.27321108254860.726788917451351
1022120.1704640134840.829535986515984
1031920.5897922101609-1.58979221016086
1042121.173702778741-0.173702778740952
1051818.2483363395415-0.248336339541471
1061620.4587820256295-4.4587820256295
1072020.0143359651774-0.0143359651774448
1082119.18905370015891.8109462998411
1091520.5782462058439-5.57824620584388
1102020.2842289889181-0.284228988918142
1112319.97459751654063.02540248345943
1121518.7584742416779-3.75847424167787
1131819.5708214560064-1.57082145600638
1142218.58318262356483.41681737643517
1151618.6487058572661-2.64870585726615
1161719.653725198154-2.65372519815404
1172420.1312134271563.86878657284404
1181320.5656396692852-7.56563966928519
1192319.37558236769873.62441763230125
120519.4218099189055-14.4218099189055
1211919.1288821530024-0.128882153002393
1222419.82787114036684.17212885963324
1231918.68474659848150.315253401518512
1242019.95697911097350.0430208890264686
1252220.13093547099711.86906452900295
1261520.8280794465755-5.82807944657546
1271919.7277322438962-0.727732243896201
1282519.93341125185035.06658874814967
1292119.51170311721891.48829688278114
1301919.5844070164052-0.584407016405203
1311720.3175785716296-3.31757857162958
1321520.2747904676679-5.27479046766785
1332120.35726726133080.642732738669235
1342419.83414523106174.16585476893835
1352219.25973849075922.74026150924079
1361920.2466752197217-1.24667521972174
1372018.13150588079451.86849411920549
1382119.63570279468791.36429720531215
1391919.6405299634299-0.64052996342988
1402219.85847438949362.14152561050636
1411419.6808027385779-5.68080273857789
1422519.32215892891125.67784107108885
1431119.3278420017823-8.32784200178232
1441619.5218713000008-3.52187130000079
1451919.7589256285396-0.758925628539616
1461719.8681688594697-2.86816885946974
1472018.81137948228951.1886205177105
1482219.37708454854932.62291545145066
1492019.60816557172420.391834428275824
1502219.43515612293762.56484387706241
1511519.6530568907396-4.65305689073963
1522319.57467990414183.42532009585815
1532019.81317358876570.186826411234337
1541719.5099781109431-2.50997811094315
1552019.77120507183250.228794928167474
1562519.46829939098075.53170060901932
1572219.35745041765752.64254958234252
1581620.1903587330668-4.19035873306676
1592520.47077168278374.52922831721632
1601819.9930625277743-1.99306252777432
1611919.842869071505-0.842869071504979
1622519.90652388391995.09347611608012
1632319.60635070890683.39364929109321
1642419.68618492884844.31381507115165
1652119.70515355656421.29484644343576
1662119.76003087411741.23996912588258
1672219.91201494926492.08798505073507
1682120.43697085895470.56302914104525
1691819.5991729572313-1.59917295723133
1701319.8261025379118-6.82610253791176
1712219.90255844645372.09744155354627
1722319.85378206062673.1462179393733
1731519.7683784509445-4.76837845094449


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
180.963090161687730.07381967662454090.0369098383122704
190.9600145803211830.07997083935763450.0399854196788172
200.9693232479138140.06135350417237230.0306767520861861
210.9547921310142170.09041573797156660.0452078689857833
220.9235252821396940.1529494357206120.0764747178603061
230.8983254234211020.2033491531577960.101674576578898
240.9157402113621310.1685195772757390.0842597886378694
250.878618817291960.2427623654160820.121381182708041
260.8819158571560180.2361682856879640.118084142843982
270.838271546741430.3234569065171380.161728453258569
280.8124605952988740.3750788094022520.187539404701126
290.7586516930613810.4826966138772380.241348306938619
300.7796273434012920.4407453131974160.220372656598708
310.8060907042693720.3878185914612560.193909295730628
320.8971685044248850.2056629911502290.102831495575115
330.90429323053310.1914135389338020.0957067694669011
340.9146808089463730.1706383821072540.0853191910536268
350.9121105937661040.1757788124677910.0878894062338957
360.8860007660450430.2279984679099140.113999233954957
370.8882660818382270.2234678363235450.111733918161773
380.8631321043261420.2737357913477150.136867895673858
390.8677471975368450.264505604926310.132252802463155
400.8344873336970630.3310253326058740.165512666302937
410.7944180332702160.4111639334595680.205581966729784
420.7884363387613840.4231273224772330.211563661238616
430.7982910503442130.4034178993115750.201708949655787
440.8452284167995940.3095431664008110.154771583200406
450.8467778741802870.3064442516394270.153222125819713
460.8216895201604150.356620959679170.178310479839585
470.78664792204870.42670415590260.2133520779513
480.7637274558269480.4725450883461050.236272544173052
490.7326880694524720.5346238610950560.267311930547528
500.9525433763618310.0949132472763380.047456623638169
510.9403019739858740.1193960520282520.0596980260141258
520.9485019142285350.102996171542930.0514980857714649
530.9409633767020160.1180732465959670.0590366232979836
540.924026924994410.1519461500111780.0759730750055892
550.9348797313464620.1302405373070760.065120268653538
560.9388812656867890.1222374686264220.061118734313211
570.9241180750015840.1517638499968330.0758819249984164
580.9242519624560560.1514960750878880.0757480375439442
590.9081479630272570.1837040739454870.0918520369727433
600.89101416171330.2179716765734020.108985838286701
610.8685243508739530.2629512982520950.131475649126047
620.8808097510092010.2383804979815970.119190248990799
630.8960050125385360.2079899749229280.103994987461464
640.8741359990714620.2517280018570760.125864000928538
650.8590725547179280.2818548905641440.140927445282072
660.8911060611096380.2177878777807240.108893938890362
670.8680216083955470.2639567832089050.131978391604453
680.868002001031780.2639959979364390.131997998968219
690.8912079713933240.2175840572133520.108792028606676
700.874943208277090.2501135834458210.125056791722911
710.8906800626107350.218639874778530.109319937389265
720.8729678470522720.2540643058954560.127032152947728
730.8655075605083630.2689848789832750.134492439491637
740.8447794859677360.3104410280645280.155220514032264
750.8318922216584460.3362155566831080.168107778341554
760.8548538327266660.2902923345466690.145146167273334
770.8574664887725940.2850670224548120.142533511227406
780.8355083375270820.3289833249458350.164491662472918
790.8045481876735460.3909036246529080.195451812326454
800.7766226501889510.4467546996220980.223377349811049
810.7815954175166240.4368091649667510.218404582483376
820.7809696325145080.4380607349709840.219030367485492
830.8039427202959330.3921145594081340.196057279704067
840.784763888816020.4304722223679590.215236111183979
850.8040084629005880.3919830741988230.195991537099412
860.8429956979490420.3140086041019160.157004302050958
870.8387663102202530.3224673795594950.161233689779747
880.84149574489620.3170085102075990.1585042551038
890.8125963083727130.3748073832545730.187403691627287
900.8035445151742090.3929109696515820.196455484825791
910.7693758380316210.4612483239367580.230624161968379
920.7346007854496030.5307984291007950.265399214550397
930.7045621313390010.5908757373219980.295437868660999
940.6636051523648160.6727896952703680.336394847635184
950.6265108994335320.7469782011329350.373489100566468
960.6270980970964750.745803805807050.372901902903525
970.6808325966996560.6383348066006880.319167403300344
980.6675785977537340.6648428044925330.332421402246266
990.64659192288180.70681615423640.3534080771182
1000.6022696142720370.7954607714559260.397730385727963
1010.6227979671308530.7544040657382950.377202032869147
1020.5852185008082260.8295629983835470.414781499191774
1030.5472034463075750.9055931073848510.452796553692425
1040.506990333960580.986019332078840.49300966603942
1050.4630635610509550.926127122101910.536936438949045
1060.4689892881885160.9379785763770320.531010711811484
1070.4384564159872540.8769128319745080.561543584012746
1080.4032886508062240.8065773016124490.596711349193776
1090.4514406443996050.902881288799210.548559355600395
1100.404519037155280.809038074310560.59548096284472
1110.396651027977470.793302055954940.60334897202253
1120.4101437187208640.8202874374417280.589856281279136
1130.4037300851018790.8074601702037590.596269914898121
1140.3836478725381950.767295745076390.616352127461805
1150.3653633284390680.7307266568781350.634636671560932
1160.3358098415314840.6716196830629680.664190158468516
1170.3750006108583820.7500012217167640.624999389141618
1180.460510678837130.921021357674260.53948932116287
1190.4820967713860520.9641935427721050.517903228613948
1200.8183967620744840.3632064758510320.181603237925516
1210.8373083317339960.3253833365320080.162691668266004
1220.8311650796312580.3376698407374850.168834920368742
1230.7963850718411370.4072298563177250.203614928158863
1240.7576707960937040.4846584078125910.242329203906296
1250.7505512696123130.4988974607753740.249448730387687
1260.7440823303540520.5118353392918960.255917669645948
1270.7019084564753320.5961830870493370.298091543524668
1280.7492999929319310.5014000141361380.250700007068069
1290.7074367405391790.5851265189216420.292563259460821
1300.6538175109504130.6923649780991750.346182489049587
1310.604518380059130.7909632398817410.395481619940871
1320.6247818973152430.7504362053695130.375218102684757
1330.5854307702984330.8291384594031340.414569229701567
1340.5482088407252750.903582318549450.451791159274725
1350.5120447076711690.9759105846576630.487955292328831
1360.4987943670143890.9975887340287780.501205632985611
1370.4890302092584850.978060418516970.510969790741515
1380.4263004158072080.8526008316144160.573699584192792
1390.4550888333870530.9101776667741060.544911166612947
1400.5150235468524630.9699529062950740.484976453147537
1410.651627847312510.6967443053749790.348372152687489
1420.621320387427770.757359225144460.37867961257223
1430.8338963218063680.3322073563872640.166103678193632
1440.7970668393438830.4058663213122340.202933160656117
1450.7631004625332110.4737990749335770.236899537466789
1460.6916963742624790.6166072514750420.308303625737521
1470.6216876256078590.7566247487842830.378312374392141
1480.8059158824082960.3881682351834080.194084117591704
1490.7962722724246580.4074554551506850.203727727575342
1500.7306246064274510.5387507871450970.269375393572549
1510.6404913615074210.7190172769851570.359508638492579
1520.5285362294480110.9429275411039780.471463770551989
1530.6570189302370870.6859621395258260.342981069762913
1540.5149462139538950.970107572092210.485053786046105
1550.7604902694878380.4790194610243240.239509730512162


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level50.036231884057971OK