Multiple Linear Regression - Estimated Regression Equation
time_in_rfc[t] = + 85066.0060002361 -92282.9624881586Pop[t] -516.971169104454t + 465.552982043697pop_t[t] -12.8123348566041pageviews[t] + 45.1887906007588pageviews_p[t] -89.0393434262195logins[t] + 278.569220596602logins_p[t] + 196.846568030155compendium_views_info[t] -98.3246219498264compendium_views_info_p[t] -817.097975182971shared_compendiums[t] -1060.64501461562shared_compendiums_p[t] + 140.127164561533feedback_messages_p1[t] + 271.684244016399feedback_messages_p1_p[t] + 1.21981230252598totsize[t] -0.927257265903609totsize_p[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)85066.006000236190360.4498880.94140.3477510.173875
Pop-92282.962488158690915.741418-1.0150.3114420.155721
t-516.971169104454529.337178-0.97660.3300520.165026
pop_t465.552982043697532.4781530.87430.3831060.191553
pageviews-12.812334856604135.858062-0.35730.7212780.360639
pageviews_p45.188790600758839.5256781.14330.2544340.127217
logins-89.0393434262195328.624835-0.27090.7867420.393371
logins_p278.569220596602343.2720570.81150.4181380.209069
compendium_views_info196.84656803015597.9252072.01020.0458980.022949
compendium_views_info_p-98.3246219498264104.22902-0.94340.3467590.173379
shared_compendiums-817.0979751829713777.830534-0.21630.8290070.414504
shared_compendiums_p-1060.645014615623873.053629-0.27390.784510.392255
feedback_messages_p1140.127164561533335.2572910.4180.6764650.338233
feedback_messages_p1_p271.684244016399350.2985870.77560.439010.219505
totsize1.219812302525980.4026573.02940.0028090.001404
totsize_p-0.9272572659036090.411046-2.25580.0252770.012638


Multiple Linear Regression - Regression Statistics
Multiple R0.928839434006684
R-squared0.862742694165857
Adjusted R-squared0.851367779317724
F-TEST (value)75.8460793495464
F-TEST (DF numerator)15
F-TEST (DF denominator)181
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31762.9613917009
Sum Squared Residuals182608314663.093


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1210907162844.42864378948062.571356211
2120982122871.08119789-1889.08119789035
3176508169382.7495495137125.25045048727
4179321248657.072804351-69336.0728043508
512318593227.396284132829957.6037158672
65274682292.6321437576-29546.6321437576
7385534341789.36911504943744.6308849513
83317052797.4601034635-19627.4601034635
9149061182321.635229088-33260.6352290877
10165446150617.65238445714828.3476155428
11237213206802.05126726430410.9487327363
12173326179253.142299414-5927.14229941351
13133131143248.407505697-10117.4075056975
14258873236577.06670599422295.9332940062
15180083154150.79302011125932.2069798889
16324799396569.856106265-71770.8561062646
17230964196893.71897956234070.2810204379
18236785241132.859746284-4347.85974628376
19135473136440.830892874-967.830892873957
20202925197790.1203788895134.87962111087
21215147212678.4027810282468.59721897176
22344297235721.639622539108575.360377461
23153935123006.28243429230928.7175657084
24132943160879.946336833-27936.9463368334
25174724258876.059042979-84152.0590429787
26174415231631.040816386-57216.0408163865
27225548240819.803171358-15271.8031713584
28223632181485.12785895242146.8721410484
29124817132755.355230361-7938.35523036113
30221698200396.34520190821301.6547980918
31210767204535.8917369646231.10826303615
32170266184279.284240812-14013.2842408122
33260561215375.47561346445185.524386536
3484853106075.984168959-21222.9841689593
35294424260935.19130017533488.8086998251
36215641209209.1938620316431.80613796912
37325107267326.31589154557780.6841084551
38167542158766.5991531618775.40084683868
3910640876243.455629444930164.5443705551
40265769263169.7142166582599.2857833423
41269651266426.6186040563224.38139594385
42149112156177.666595158-7065.66659515822
43152871152684.906622149186.093377851079
44111665119016.15273234-7351.15273233991
45116408203789.168797822-87381.1687978216
46362301390716.588198524-28415.5881985238
4778800100237.199634524-21437.1996345239
48183167202587.355398888-19420.3553988877
49277965319421.981909978-41456.9819099781
50150629192471.798267807-41842.7982678073
51168809163492.7240121565316.27598784427
522418838876.9605024579-14688.9605024579
53329267265506.69444825163760.3055517495
546502970165.2570696513-5136.25706965135
55101097109458.235494696-8361.23549469557
56218946225342.083157422-6396.08315742193
57244052229677.55148515514374.448514845
58233328253317.662745443-19989.6627454425
59256462235224.6437005921237.3562994098
60206161168667.29993280437493.7000671959
61311473301854.6036975579618.39630244284
62235800241466.366200307-5666.36620030698
63177939213830.695223757-35891.6952237572
64207176197158.43475755410017.5652424461
65196553159318.5111337837234.4888662205
66174184138542.38971398435641.6102860161
67143246168067.584365319-24821.5843653191
68187559218400.744889424-30841.7448894242
69187681195812.089781019-8131.08978101918
70119016134238.613184378-15222.6131843779
71182192188416.780916832-6224.78091683215
727356693578.9701680032-20012.9701680032
73194979187013.7043672047965.29563279612
74167488167486.7757891761.22421082355034
75143756165546.419072929-21790.4190729294
76275541213466.75697767262074.2430223279
77243199203491.70705360539707.2929463946
78182999204396.175096082-21397.1750960821
79135649150719.210999571-15070.2109995712
80152299165790.618683106-13491.618683106
81120221138559.396489578-18338.3964895778
82346485291885.8006411154599.19935889
83145790148554.142093205-2764.14209320488
84193339159124.0273608134214.9726391898
858095392468.1221995049-11515.1221995049
86122774162229.496948924-39455.4969489241
87130585124008.8289184446576.17108155584
88286468297364.796916097-10896.7969160974
89241066223850.36963104917215.6303689509
90148446270324.921277265-121878.921277265
91204713186929.93491586417783.0650841359
92182079180481.6457483891597.35425161064
93140344134238.7179656746105.28203432634
94220516233535.117082515-13019.1170825155
95243060212187.66881508930872.3311849109
96162765162713.4398068951.5601931100458
97182613162386.46066369820226.5393363021
98232138209468.07318431722669.9268156828
99265318291592.296185038-26274.2961850376
100310839278130.75570691832708.2442930815
101225060219349.2609322165710.73906778377
102232317218945.78774053913371.2122594612
103144966166152.705072477-21186.7050724771
1044328765190.2140593832-21903.2140593832
105155754149660.0954751936093.90452480707
106164709187857.080064138-23148.0800641385
107201940222191.644057444-20251.6440574435
108235454228320.2444005927133.75559940793
10999466145659.167389074-46193.1673890742
110100750172562.773919275-71812.7739192754
111224549163695.47670511960853.5232948814
112243511216307.10192426227203.8980757379
1132293817041.36532102575896.6346789743
114152474177886.945902249-25412.9459022486
1156185740712.197067966721144.8029320333
116132487147879.12726084-15392.1272608399
117317394249714.71937477367679.2806252271
1182105416912.20253066214141.79746933786
119209641175730.71328667833910.2867133219
1203141438880.3386876247-7466.33868762473
121244749256657.415639737-11908.4156397373
122184510182119.4674173412390.53258265879
123128423145733.761462271-17310.7614622713
12497839131339.317514298-33500.3175142977
1253821452067.1633020186-13853.1633020186
126151101164781.857814308-13680.8578143079
127272458243585.30589570528872.694104295
128172494163661.9494132078832.05058679337
129328107304560.17229619423546.8277038059
130250579224311.78069478726267.2193052133
131351067326433.28696359524633.7130364046
132158015133183.52367479224831.4763252076
13385439117115.857906016-31676.8579060164
134229242243058.935179697-13816.9351796969
135351619342637.2306172928981.76938270781
13684207117868.050624685-33661.0506246848
137324598346023.025733879-21425.0257338794
138131069160503.674742452-29434.6747424519
139204271162223.01974617842047.9802538215
140165543172182.911680836-6639.9116808355
141141722152849.029258151-11127.0292581505
142299775308158.967331873-8383.96733187337
143195838182666.71061261513171.2893873849
144173260171541.0444319371718.95556806272
145254488222861.94824498131626.0517550187
146104389175259.569531339-70870.5695313388
147199476239029.848275388-39553.8482753884
148224330218203.7269828266126.27301717417
149146883855.3831531729910832.616846827
150181633167566.67609820414066.3239017963
151271856239111.10472221732744.8952777833
1527199-1424.44222778698623.4422277869
1534666037555.15119268239104.84880731775
15417547-28.796661867614617575.7966618676
1559522798921.5077243213-3694.50772432128
156152601132354.55523992120246.4447600788
15710164583123.00551110318521.994488897
15810101177502.118938133923508.8810618661
159717614485.8796596591-7309.87965965905
16096560107242.606759618-10682.6067596176
161175824196810.792920252-20986.7929202517
162341570330670.81978090210899.1802190981
16310359793937.19335506719659.80664493294
16411261176951.138484529435659.8615154706
1658557489833.5430039697-4259.54300396974
166220801170258.78027821650542.2197217843
16792661121391.916420792-28730.9164207923
168133328133381.657023338-53.6570233384197
1696136185797.8701505534-24436.8701505534
170125930147317.866057068-21387.8660570682
1718231659453.441127417522862.5588725825
172102010108735.2631654-6725.26316539959
173101523124604.617305634-23081.617305634
1744156644747.2175046666-3181.21750466656
17599923138016.865801969-38093.8658019695
1762264880213.6707188072-57565.6707188072
1774669853077.4718951339-6379.47189513392
178131698155054.64608803-23356.6460880303
1799173581307.006949312610427.9930506874
18079863100211.31511452-20348.3151145197
181108043108395.901371042-352.901371041971
1829886689494.11458354329371.88541645685
183120445122246.351076478-1801.35107647799
18411604868669.820021649747378.1799783503
185250047197250.20429799552796.7957020047
186136084138371.814231189-2287.81423118851
1879249972076.331938109320422.6680618907
18813578189576.494606318746204.5053936813
1897440893053.7240692283-18645.7240692283
19081240124607.289915371-43367.2899153705
191133368115538.58593009417829.4140699063
19298146102158.223597824-4012.22359782383
1937961976076.15352726323542.84647273683
1945919474086.2242705586-14892.2242705586
195139942153623.423063485-13681.4230634851
19611861292820.345148600825791.6548513992
1977288082679.2943371593-9799.29433715931


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.9995241550803780.0009516898392450930.000475844919622547
200.9986683245254890.002663350949021860.00133167547451093
210.9967654713471820.006469057305635560.00323452865281778
220.9998450114298970.0003099771402052570.000154988570102629
230.9996709835955550.0006580328088894460.000329016404444723
240.9996374095359020.0007251809281967690.000362590464098385
250.9999750840497874.98319004254202e-052.49159502127101e-05
260.9999774244821094.51510357811039e-052.2575517890552e-05
270.9999516927672939.66144654142094e-054.83072327071047e-05
280.9999716276326485.67447347038131e-052.83723673519065e-05
290.9999481857604060.0001036284791882235.18142395941114e-05
300.9999064543722640.0001870912554724469.35456277362232e-05
310.9998219117174960.0003561765650089190.000178088282504459
320.9996809479663310.000638104067337090.000319052033668545
330.9998036436395470.0003927127209057050.000196356360452853
340.9997594324553940.0004811350892114620.000240567544605731
350.9996865992491130.0006268015017731540.000313400750886577
360.9994829178542630.00103416429147340.0005170821457367
370.9997639644897280.0004720710205434370.000236035510271719
380.9996029710416760.0007940579166487730.000397028958324386
390.999434252501380.001131494997239830.000565747498619916
400.9991166183404340.001766763319131830.000883381659565916
410.9987143855436140.002571228912772070.00128561445638604
420.998050485665480.003899028669040440.00194951433452022
430.9971341051308610.00573178973827730.00286589486913865
440.996169191112740.007661617774519880.00383080888725994
450.9996896500974350.0006206998051299650.000310349902564982
460.9996018950213780.000796209957243580.00039810497862179
470.9994388466198640.00112230676027110.000561153380135548
480.9992310998763780.001537800247244670.000768900123622333
490.9992235587555930.001552882488813410.000776441244406707
500.9993121333827840.001375733234431360.00068786661721568
510.9989793250576540.002041349884691410.00102067494234571
520.998500448548850.002999102902300680.00149955145115034
530.9994890773936680.001021845212664440.000510922606332218
540.999215981711030.001568036577940330.000784018288970165
550.9988208612661350.002358277467729450.00117913873386472
560.9983731242384240.00325375152315270.00162687576157635
570.9977688709299280.004462258140144430.00223112907007222
580.9971206794913020.00575864101739660.0028793205086983
590.9963313734907770.007337253018446460.00366862650922323
600.9969556988301650.006088602339670650.00304430116983532
610.9958195349493460.008360930101307120.00418046505065356
620.9942003299116690.01159934017666250.00579967008833124
630.9938927180154040.01221456396919110.00610728198459555
640.9918645710856760.01627085782864880.00813542891432442
650.9922542957455940.01549140850881240.0077457042544062
660.9926018760570940.01479624788581140.0073981239429057
670.992195506921090.01560898615782010.00780449307891007
680.9913309211079470.01733815778410520.00866907889205259
690.988435684581270.023128630837460.01156431541873
700.9852761371733130.02944772565337410.0147238628266871
710.980643371681290.03871325663742010.0193566283187101
720.9760278468575730.04794430628485370.0239721531424269
730.9695178817417970.0609642365164070.0304821182582035
740.9608262929959610.07834741400807750.0391737070040387
750.9545717663460850.09085646730782970.0454282336539148
760.9767950417058180.04640991658836430.0232049582941821
770.9799964512380850.04000709752383040.0200035487619152
780.9799060242940710.04018795141185810.020093975705929
790.9749416955720130.05011660885597380.0250583044279869
800.9687189188775260.06256216224494710.0312810811224736
810.9624471991730290.07510560165394180.0375528008269709
820.974731197399970.05053760520006030.0252688026000302
830.9681150684445970.06376986311080640.0318849315554032
840.9687979248277180.06240415034456420.0312020751722821
850.9607124825921030.07857503481579450.0392875174078972
860.963174316887210.07365136622558020.0368256831127901
870.95455180022620.09089639954759930.0454481997737996
880.9441054604331020.1117890791337970.0558945395668985
890.935075778338830.1298484433223390.0649242216611696
900.9987200866858410.002559826628318980.00127991331415949
910.9983447313193480.003310537361304570.00165526868065229
920.9976502796006720.00469944079865510.00234972039932755
930.9967710222223810.006457955555238090.00322897777761905
940.9963801940070820.00723961198583510.00361980599291755
950.9963466564005260.007306687198948760.00365334359947438
960.9949393017829080.01012139643418380.00506069821709191
970.9939496686531490.0121006626937020.00605033134685101
980.9932383092465040.01352338150699250.00676169075349624
990.9929607524803070.01407849503938660.00703924751969329
1000.9933027959488990.01339440810220120.00669720405110061
1010.9912591018001620.01748179639967520.00874089819983759
1020.9888966816838360.02220663663232870.0111033183161643
1030.9863396095604030.0273207808791930.0136603904395965
1040.9833448986158130.03331020276837450.0166551013841873
1050.9788854882480170.04222902350396650.0211145117519832
1060.9748588912496830.0502822175006340.025141108750317
1070.9712063289784440.05758734204311310.0287936710215565
1080.9634598144028390.07308037119432150.0365401855971608
1090.9665172997474030.06696540050519380.0334827002525969
1100.9889459391601780.02210812167964470.0110540608398224
1110.9952364553390390.009527089321922340.00476354466096117
1120.9943364893735150.01132702125297050.00566351062648526
1130.9923263850781460.01534722984370790.00767361492185397
1140.9921999374886570.01560012502268590.00780006251134297
1150.991090665451510.01781866909698090.00890933454849046
1160.9908096951251660.01838060974966750.00919030487483376
1170.9968610624186480.006277875162704560.00313893758135228
1180.9955631079456780.008873784108643720.00443689205432186
1190.9968185702538390.006362859492321530.00318142974616077
1200.9954946438310.009010712338000210.0045053561690001
1210.9951435753028010.009712849394397310.00485642469719865
1220.9935002196681920.0129995606636150.0064997803318075
1230.9912917189802430.01741656203951440.00870828101975718
1240.9909871920651060.01802561586978820.0090128079348941
1250.9887802041808380.0224395916383250.0112197958191625
1260.9877309481251820.02453810374963610.0122690518748181
1270.9850281155947360.02994376881052770.0149718844052638
1280.9803325915017370.03933481699652570.0196674084982628
1290.9848971654464280.03020566910714440.0151028345535722
1300.9825233172652260.03495336546954710.0174766827347735
1310.9801739087024160.0396521825951680.019826091297584
1320.986317537101160.02736492579768080.0136824628988404
1330.9834465373922320.03310692521553540.0165534626077677
1340.9776792023106930.04464159537861340.0223207976893067
1350.9736023941568270.05279521168634560.0263976058431728
1360.9681892083757350.063621583248530.031810791624265
1370.9612485339767240.07750293204655170.0387514660232759
1380.9548401403569090.09031971928618230.0451598596430911
1390.982026586380890.03594682723821920.0179734136191096
1400.9768233511495320.04635329770093570.0231766488504679
1410.9751637936883140.04967241262337180.0248362063116859
1420.9684526754407080.06309464911858480.0315473245592924
1430.9659790359875580.06804192802488350.0340209640124417
1440.9544158589078040.09116828218439270.0455841410921964
1450.945179322184740.1096413556305210.0548206778152604
1460.9428173701890140.1143652596219710.0571826298109857
1470.9290496871895110.1419006256209790.0709503128104895
1480.907731468924930.1845370621501410.0922685310750703
1490.8825235104441550.2349529791116890.117476489555844
1500.8525514391774110.2948971216451780.147448560822589
1510.8224845536266610.3550308927466780.177515446373339
1520.7818839094363560.4362321811272880.218116090563644
1530.7357736499404990.5284527001190030.264226350059501
1540.6862722075231220.6274555849537560.313727792476878
1550.6298366557095040.7403266885809930.370163344290496
1560.5730725228519450.853854954296110.426927477148055
1570.5298829635586270.9402340728827460.470117036441373
1580.5039071016964360.9921857966071270.496092898303564
1590.4393361886890780.8786723773781560.560663811310922
1600.3778936956939520.7557873913879050.622106304306048
1610.3420848918762540.6841697837525070.657915108123746
1620.2881571453923410.5763142907846830.711842854607659
1630.2368409274066080.4736818548132160.763159072593392
1640.2605117275231180.5210234550462360.739488272476882
1650.2087335316016270.4174670632032540.791266468398373
1660.3259664263961160.6519328527922320.674033573603884
1670.2785042048712520.5570084097425040.721495795128748
1680.2307505619017470.4615011238034940.769249438098253
1690.1898517255312640.3797034510625270.810148274468736
1700.1450447368492190.2900894736984380.854955263150781
1710.1329795746695030.2659591493390060.867020425330497
1720.09420148050794140.1884029610158830.905798519492059
1730.0621900219960510.1243800439921020.937809978003949
1740.04081668179946240.08163336359892480.959183318200538
1750.03851514814892820.07703029629785640.961484851851072
1760.05845755929717120.1169151185943420.941542440702829
1770.03665568394552890.07331136789105780.963344316054471
1780.03184640685517790.06369281371035570.968153593144822


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level550.34375NOK
5% type I error level1010.63125NOK
10% type I error level1280.8NOK