Multiple Linear Regression - Estimated Regression Equation
totsize[t] = + 2099.94582004143 + 3.2961823571038pageviews[t] -0.105535933643301time_in_rfc[t] + 46.764551412342logins[t] -16.7635951343183compendium_views_info[t] + 55.7978295051499compendium_views_pr[t] + 2262.1160856706shared_compendiums[t] + 68.7547200919634blogged_computations[t] + 597.315222323714compendiums_reviewed[t] -130.303136882258feedback_messages_p1[t] + 197.385030861271feedback_messages_p120[t] + 1.11723721551766totrevisions[t] + 0.406814703222625totseconds[t] -116.16580667081tothyperlinks[t] + 144.149022987652`totblogs `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2099.945820041434904.7679920.42810.6690530.334526
pageviews3.29618235710389.3528410.35240.7249270.362463
time_in_rfc-0.1055359336433010.06991-1.50960.132880.06644
logins46.76455141234269.4735660.67310.501720.25086
compendium_views_info-16.763595134318321.192322-0.7910.4299610.21498
compendium_views_pr55.797829505149936.3094941.53670.1260970.063048
shared_compendiums2262.1160856706611.2862373.70060.0002850.000142
blogged_computations68.7547200919634104.5528520.65760.5116210.255811
compendiums_reviewed597.315222323714769.6104720.77610.4386820.219341
feedback_messages_p1-130.303136882258235.705478-0.55280.5810640.290532
feedback_messages_p120197.385030861271120.6954071.63540.1036940.051847
totrevisions1.117237215517660.3470973.21880.0015240.000762
totseconds0.4068147032226250.0949174.2862.9e-051.5e-05
tothyperlinks-116.16580667081480.400944-0.24180.80920.4046
`totblogs `144.149022987652497.5463970.28970.772360.38618


Multiple Linear Regression - Regression Statistics
Multiple R0.845424606895746
R-squared0.714742765944826
Adjusted R-squared0.692799901786736
F-TEST (value)32.5729020967986
F-TEST (DF numerator)14
F-TEST (DF denominator)182
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation22731.7130355937
Sum Squared Residuals94045001510.9293


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1112285109430.0217878832854.97821211731
28478691819.1386445416-7033.13864454164
38312391335.0768676245-8212.07686762447
410119399196.80966183871996.19033816127
53836155088.6964461765-16727.6964461765
66850450455.225548487718048.7744515123
7119182102381.76788917516800.2321108251
82280712072.25208303410734.747916966
91714022091.4712157128-4951.47121571275
1011617493037.804127346923136.1958726531
115763560145.8926578285-2510.89265782853
126619897861.0106150539-31663.0106150539
137170195811.8137839478-24110.8137839478
145779366756.5689607368-8963.5689607368
158044481467.3544268822-1023.35442688215
165385577932.679673867-24077.679673867
1797668116311.88854436-18643.8885443602
18133824109883.98980835223940.010191648
1910148177758.235022205923722.7649777941
209964576108.17476737623536.825232624
2111478999220.716390773615568.2836092264
2299052108550.269391584-9498.26939158443
236765471412.0248665141-3758.02486651412
246555382111.1622890438-16558.1622890438
259750097648.8000001838-148.800000183766
266911290625.5111338183-21513.5111338183
278275386364.3194577601-3611.31945776007
288532394924.3183840939-9601.31838409389
297265498596.1260371563-25942.1260371563
303072742904.668243278-12177.668243278
3177873106119.953821568-28246.9538215678
32117478127227.358567237-9749.35856723699
337400775364.2140938761-1357.21409387613
3490183121661.286282984-31478.2862829836
356154245862.174320733715679.8256792663
36101494120379.160086863-18885.1600868627
372757041250.2082343289-13680.2082343289
385581346771.58250672049041.41749327958
397921598393.9786766126-19178.9786766126
4014233091.49302622469-1668.49302622469
415546167468.397307263-12007.397307263
423108145685.8392472863-14604.8392472863
432299636504.7013793752-13508.7013793752
4483122103686.082341251-20564.0823412511
457010694379.6728737496-24273.6728737496
466057874735.1952417547-14157.1952417547
473999246818.6799145082-6826.67991450824
487989296065.6970791231-16173.697079123
494981057059.6919568891-7249.69195688912
507157056128.816381024815441.1836189752
5110070878941.137223651921766.8627763481
523303252822.632726626-19790.6327266261
538287585427.5873978297-2552.58739782968
54139077121573.05860488917503.941395111
557159584070.0328548076-12475.0328548076
567226091563.3354263456-19303.3354263456
57595011851.2214560107-5901.22145601069
58115762117642.078029822-1880.07802982221
593255137018.7847528281-4467.78475282814
603170138612.158362554-6911.15836255397
618067082881.0771761833-2211.07717618333
62143558137816.5084305815741.49156941911
6311710591781.017366508325323.9826334917
642378936519.5138000277-12730.5138000277
65120733140007.985195332-19274.985195332
66105195127384.424793499-22189.4247934991
677310781269.428519685-8162.42851968502
68132068130653.6758336971414.32416630312
69149193152116.486642739-2923.48664273871
704682166318.4034450566-19497.4034450566
718701193110.5127432282-6099.51274322824
7295260102252.980504933-6992.98050493286
735518380030.9137983012-24847.9137983012
7410667179951.179896644726719.8201033553
7573511109987.551951842-36476.5519518417
769294574369.520415754418575.4795842456
777866478220.8163194287443.183680571251
7870054100592.444503775-30538.4445037747
792261838714.7489291616-16096.7489291616
807401196285.5056862452-22274.5056862452
818373772234.213242469311502.7867575307
826909475481.3784007143-6387.37840071434
839313383661.29203165239471.70796834768
849553694646.9821050289889.017894971095
8522592097494.7096899657128425.290310034
866213371554.1294386445-9421.12943864448
876137060897.010298505472.989701494981
884383651169.6587255544-7333.65872555444
8910611785626.110192856220490.8898071438
903869261008.3420634413-22316.3420634413
918465190192.6423279059-5541.64232790587
925662234861.367374983621760.6326250164
931598627744.9804066333-11758.9804066333
9495364100075.18538853-4711.18538852975
952670645025.2809794329-18319.2809794329
968969177879.932976365711811.0670236343
976726793538.6664944519-26271.6664944519
9812684698351.854852612628494.1451473874
994114055093.4404312681-13953.4404312681
10010286092247.912073907410612.0879260926
1015171562819.9120545236-11104.9120545236
1025580164115.2941261775-8314.2941261775
103111813103645.4636555338167.53634446716
10412029388066.967499358232226.0325006418
105138599113681.4651048724917.5348951296
106161647127080.18159165934566.8184083408
107115929149044.848070442-33115.848070442
1082426630494.8439757332-6228.84397573319
109162901145262.36588348917638.6341165105
110109825114278.006609457-4453.0066094566
111129838114070.07769451415767.9223054861
1123751046245.8172911089-8735.81729110889
1134375041289.45960721572460.54039278428
1144065260488.915121797-19836.915121797
11587771103037.694853017-15266.6948530172
1168587292634.0919151266-6762.09191512661
1178927588822.1478479743452.852152025669
1184441852324.3515421344-7906.35154213439
119192565100461.55200265292103.447997348
1203523236543.9720254507-1311.9720254507
1214090954856.6091093121-13947.6091093121
1221329423144.4093211783-9850.40932117833
1233238756027.1865402713-23640.1865402713
12414086759081.117655890381785.8823441097
125120662105033.87766687515628.1223331248
1262123335479.5453029419-14246.5453029419
1274433237924.2684531616407.73154683899
1286105662783.8396959776-1727.8396959776
12910133884142.227775146117195.7722248539
13011683728.49658647283-2560.49658647283
1311349718774.4654215929-5277.46542159286
1326556776111.6097740206-10544.6097740206
1332516230434.8680825338-5272.86808253378
1343233447340.1156746685-15006.1156746685
1354073551978.7235932586-11243.7235932586
13691413111755.673535539-20342.6735355393
1378553024.46332653226-2169.46332653226
1389706871036.304763615526031.6952363845
1394433920436.050288263623902.9497117364
1401411614461.5140466695-345.514046669475
1411028818949.4110060669-8661.41100606688
1426562256786.86949637968835.13050362041
1431656314490.04523942032072.95476057967
14476643102703.627882247-26060.6278822472
14511068189440.275335804121240.7246641959
1462901129756.3446245568-745.344624556815
1479269655359.741072774437336.2589272256
1489478555305.171999768239479.8280002318
149877314555.0204273025-5782.02042730249
1508320969581.234320939613627.7656790604
15193815106369.302082307-12554.3020823068
1528668793341.036403041-6654.03640304097
1533455330982.24405827843570.75594172164
154105547123724.823619712-18177.823619712
155103487111178.911889109-7691.91188910898
156213688159965.52774504853722.4722549518
1577122079093.7260560658-7873.72605606585
1582351727950.636652514-4433.63665251402
1595692647020.69853507789905.30146492221
1609172185568.99464919796152.00535080213
161115168117587.855869512-2419.85586951236
16211119448715.635083120262478.3649168798
1635100947300.36261611983708.63738388017
16413577797615.821886640238161.1781133598
1655151360055.3580191872-8542.35801918716
16674163101795.590898618-27632.5908986182
1675163373392.451279905-21759.451279905
1687534530540.208252454144804.7917475459
1693341655187.3422799639-21771.3422799639
1708330544873.507238583538431.4927614165
1719895277687.793889262321264.2061107377
17210237295501.94218062666870.05781937342
1733723818653.589318705218584.4106812948
174103772120016.569592291-16244.569592291
17512396994194.555064334829774.4449356652
1762714234910.9290535236-7768.92905352356
17713540099792.4919238835607.50807612
1782139925899.3967240271-4500.39672402713
179130115115793.07562920214321.9243707984
1802487441038.0215319037-16164.0215319037
1813498829193.67931478845794.3206852116
1824554922721.773410555722827.2265894443
18360236232.31084904104-209.310849041044
1846446666233.5290681204-1767.52906812036
1855499090227.5716034464-35237.5716034463
18616443828.5275323408-2184.5275323408
187617911593.0931961422-5414.09319614222
18839266996.87442581703-3070.87442581703
1893275546954.1025017398-14199.1025017398
1903477721422.913577221113354.0864227789
1917322448389.850732477524834.1492675225
1922711423623.43528803013490.56471196994
1932076038712.1883942871-17952.1883942871
1943763658660.203921446-21024.203921446
1956546171632.0626672083-6171.06266720831
1963008038403.1985948465-8323.19859484647
1972409431364.9640599467-7270.96405994675


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
180.1549029731399990.3098059462799980.845097026860001
190.1052987132133110.2105974264266220.894701286786689
200.04655692507327040.09311385014654080.95344307492673
210.263058325138530.526116650277060.73694167486147
220.2213400214249350.4426800428498690.778659978575065
230.1433885400201250.2867770800402490.856611459979875
240.08931389205233260.1786277841046650.910686107947667
250.06187050116578390.1237410023315680.938129498834216
260.0371226685764860.07424533715297190.962877331423514
270.02947909909952490.05895819819904970.970520900900475
280.01671632287841240.03343264575682480.983283677121588
290.01030114003550970.02060228007101940.98969885996449
300.007077243499117360.01415448699823470.992922756500883
310.01215046051075940.02430092102151880.987849539489241
320.007690570994954360.01538114198990870.992309429005046
330.004422158449818490.008844316899636980.995577841550181
340.002785963693688970.005571927387377950.997214036306311
350.004668540687655310.009337081375310630.995331459312345
360.005243960089680020.010487920179360.99475603991032
370.003961117742496270.007922235484992540.996038882257504
380.00254035150862490.005080703017249810.997459648491375
390.001659954443897320.003319908887794650.998340045556103
400.002442721776085290.004885443552170590.997557278223915
410.001733499971443580.003466999942887160.998266500028556
420.001179995858840910.002359991717681820.998820004141159
430.0007062324682612080.001412464936522420.999293767531739
440.0005073328351091810.001014665670218360.999492667164891
450.002041984566845310.004083969133690630.997958015433155
460.001386226046654090.002772452093308180.998613773953346
470.0008939267964182020.00178785359283640.999106073203582
480.0006082174023485390.001216434804697080.999391782597651
490.0003638508802773660.0007277017605547320.999636149119723
500.0005217880188888050.001043576037777610.999478211981111
510.0007754268711764620.001550853742352920.999224573128824
520.0006011417229955920.001202283445991180.999398858277004
530.0003629995904895210.0007259991809790420.999637000409511
540.000403551190083420.0008071023801668410.999596448809917
550.0003884628739587590.0007769257479175180.999611537126041
560.0002716165440935970.0005432330881871940.999728383455906
570.0001673645431097290.0003347290862194570.99983263545689
580.0001513635257468180.0003027270514936350.999848636474253
598.93973767658755e-050.0001787947535317510.999910602623234
605.33603139663402e-050.000106720627932680.999946639686034
613.1905824979008e-056.38116499580159e-050.999968094175021
623.53890409458978e-057.07780818917956e-050.999964610959054
633.3551137135775e-056.71022742715499e-050.999966448862864
642.10452181586577e-054.20904363173155e-050.999978954781841
657.42482853795874e-050.0001484965707591750.99992575171462
666.60055653659273e-050.0001320111307318550.999933994434634
674.10595333180706e-058.21190666361412e-050.999958940466682
682.8199194493483e-055.6398388986966e-050.999971800805507
691.62938476853923e-053.25876953707845e-050.999983706152315
701.39750611834663e-052.79501223669327e-050.999986024938816
718.99094176761277e-061.79818835352255e-050.999991009058232
725.40764884104096e-061.08152976820819e-050.999994592351159
734.71537492081689e-069.43074984163378e-060.999995284625079
749.10068361498889e-061.82013672299778e-050.999990899316385
752.2723042543777e-054.54460850875539e-050.999977276957456
762.05339465304687e-054.10678930609374e-050.99997946605347
771.53136206142802e-053.06272412285604e-050.999984686379386
782.88086734389129e-055.76173468778258e-050.999971191326561
792.35969598781858e-054.71939197563717e-050.999976403040122
802.52686351388164e-055.05372702776328e-050.999974731364861
811.78286583242233e-053.56573166484465e-050.999982171341676
821.10406830286841e-052.20813660573682e-050.999988959316971
837.6240109080932e-061.52480218161864e-050.999992375989092
844.66672641771109e-069.33345283542218e-060.999995333273582
850.4755698286824420.9511396573648830.524430171317558
860.4422730874876480.8845461749752960.557726912512352
870.4038092667213490.8076185334426980.596190733278651
880.369200651748660.7384013034973210.63079934825134
890.3717207126936140.7434414253872280.628279287306386
900.404591667769010.809183335538020.59540833223099
910.3695342983656820.7390685967313630.630465701634318
920.3589022032839290.7178044065678570.641097796716071
930.3239118140588720.6478236281177440.676088185941128
940.2926028118122710.5852056236245410.707397188187729
950.2838709955287150.5677419910574310.716129004471285
960.2835133201861060.5670266403722110.716486679813894
970.2955825773335210.5911651546670420.704417422666479
980.3237884034814140.6475768069628290.676211596518586
990.3046235807856180.6092471615712360.695376419214382
1000.275708715835690.5514174316713790.72429128416431
1010.2556262165388290.5112524330776580.744373783461171
1020.2274823622421380.4549647244842770.772517637757862
1030.2057046961027930.4114093922055850.794295303897207
1040.2411049528658340.4822099057316670.758895047134166
1050.241555473221890.4831109464437790.75844452677811
1060.2844131560924090.5688263121848180.715586843907591
1070.4318715821733340.8637431643466690.568128417826666
1080.3905608198272490.7811216396544970.609439180172751
1090.3872865605184820.7745731210369640.612713439481518
1100.3852442370790430.7704884741580860.614755762920957
1110.37325734139350.7465146827870.6267426586065
1120.3750719318525550.750143863705110.624928068147445
1130.3369861070878040.6739722141756090.663013892912196
1140.3346222994423530.6692445988847050.665377700557647
1150.3123230447421630.6246460894843260.687676955257837
1160.2788953154832140.5577906309664280.721104684516786
1170.2427980087359540.4855960174719070.757201991264046
1180.2109485015743750.421897003148750.789051498425625
1190.7686051732001520.4627896535996970.231394826799848
1200.7326550567974480.5346898864051030.267344943202552
1210.7009812627424670.5980374745150650.299018737257533
1220.6807487322885330.6385025354229330.319251267711467
1230.6597735390615640.6804529218768720.340226460938436
1240.9723128197007090.05537436059858220.0276871802992911
1250.9682709711643340.06345805767133140.0317290288356657
1260.9633615914031640.07327681719367150.0366384085968358
1270.9543516165682870.09129676686342540.0456483834317127
1280.9419971025214280.1160057949571440.058002897478572
1290.9321658799314630.1356682401370740.0678341200685371
1300.9150395888343910.1699208223312190.0849604111656093
1310.9002431030940040.1995137938119910.0997568969059956
1320.8857539340266610.2284921319466790.114246065973339
1330.8758570505083910.2482858989832190.124142949491609
1340.8591696202427390.2816607595145220.140830379757261
1350.8904521553202540.2190956893594910.109547844679746
1360.8799365844113980.2401268311772050.120063415588602
1370.8527755746281840.2944488507436330.147224425371816
1380.8569404232142420.2861191535715170.143059576785758
1390.8471145328557790.3057709342884420.152885467144221
1400.8148692656467090.3702614687065820.185130734353291
1410.7842423674500550.431515265099890.215757632549945
1420.7685253931764190.4629492136471630.231474606823581
1430.7291373490871350.5417253018257290.270862650912865
1440.7327136784745370.5345726430509270.267286321525463
1450.7092201843095530.5815596313808930.290779815690447
1460.6695207803521970.6609584392956050.330479219647803
1470.6823982673008720.6352034653982560.317601732699128
1480.7500886012373080.4998227975253840.249911398762692
1490.7046276584106820.5907446831786370.295372341589318
1500.6643394475563040.6713211048873920.335660552443696
1510.6329892548684150.7340214902631690.367010745131585
1520.6715230130007890.6569539739984230.328476986999211
1530.6173657374342340.7652685251315320.382634262565766
1540.714222029390350.57155594121930.28577797060965
1550.6745282522300740.6509434955398510.325471747769926
1560.8727919392873720.2544161214252560.127208060712628
1570.8382379967705780.3235240064588440.161762003229422
1580.8030194276211810.3939611447576380.196980572378819
1590.7603113110191760.4793773779616480.239688688980824
1600.7489349716893840.5021300566212310.251065028310616
1610.6917816132870290.6164367734259420.308218386712971
1620.9323350651537440.1353298696925110.0676649348462557
1630.9444874339241990.1110251321516020.0555125660758008
1640.9522622958188540.09547540836229140.0477377041811457
1650.9601376571786350.07972468564273020.0398623428213651
1660.9515891276419170.09682174471616650.0484108723580833
1670.9507761262217810.09844774755643830.0492238737782192
1680.965337410607120.069325178785760.03466258939288
1690.959379011434590.08124197713081920.0406209885654096
1700.9991062921081460.001787415783707830.000893707891853914
1710.9996901528635010.0006196942729978110.000309847136498906
1720.9991066698724030.001786660255193820.000893330127596908
1730.9976981379520570.004603724095885340.00230186204794267
1740.9985355269930890.002928946013822610.00146447300691131
1750.996009443227710.007981113544580770.00399055677229038
1760.9887265501600540.0225468996798920.011273449839946
1770.9984374097947530.003125180410493520.00156259020524676
1780.9926758278108940.01464834437821220.00732417218910608
1790.973620902081850.05275819583629990.0263790979181499


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level580.358024691358025NOK
5% type I error level660.407407407407407NOK
10% type I error level800.493827160493827NOK