Multiple Linear Regression - Estimated Regression Equation
time_in_rfc[t] = -4825.87191538712 + 192.401697754146logins[t] + 122.692595564607compendium_views_info[t] + 23.8995306726626compendium_views_pr[t] -181.132180733192shared_compendiums[t] + 49.9310274116792blogged_computations[t] -958.141657271882compendiums_reviewed[t] + 387.324670025153feedback_messages_p1[t] + 188.860858466293feedback_messages_p120[t] -0.0979261835742309totsize[t] -0.840560753543224totrevisions[t] + 0.862265159048422totseconds[t] + 123.454326707396tothyperlinks[t] -113.10070971784totblogs[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-4825.871915387123413.775178-1.41360.1585970.079298
logins192.40169775414654.7006333.51740.000510.000255
compendium_views_info122.6925955646079.26998613.235500
compendium_views_pr23.899530672662630.7284230.77780.4373750.218688
shared_compendiums-181.132180733192546.7558-0.33130.7406810.370341
blogged_computations49.931027411679289.6587670.55690.5780480.289024
compendiums_reviewed-958.141657271882687.824192-1.3930.1647440.082372
feedback_messages_p1387.324670025153208.2428041.860.0639580.031979
feedback_messages_p120188.860858466293103.7585241.82020.0698160.034908
totsize-0.09792618357423090.064607-1.51570.1307360.065368
totrevisions-0.8405607535432240.31625-2.65790.0083230.004162
totseconds0.8622651590484220.07049912.230900
tothyperlinks123.454326707396435.4569750.28350.7770030.388501
totblogs-113.10070971784451.302996-0.25060.8023030.401152


Multiple Linear Regression - Regression Statistics
Multiple R0.966844538114394
R-squared0.934788360881635
Adjusted R-squared0.931705628850585
F-TEST (value)303.233739250198
F-TEST (DF numerator)13
F-TEST (DF denominator)275
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation21517.9147814345
Sum Squared Residuals127330680548.797


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1210907189608.34500932821298.6549906719
2120982143163.49817061-22181.4981706103
3176508169148.6186297497359.3813702512
4179321222867.787196281-43546.7871962807
5123185112144.16093894711040.8390610527
65274668026.2835719099-15280.2835719099
7385534373808.71890497311725.2810950269
83317028630.6199181644539.38008183604
910164582333.439998300219311.5600016998
10149061167610.846756216-18549.8467562156
11165446147757.133605117688.8663949005
12237213241190.44603317-3977.44603317
13173326168205.0175418645120.98245813574
14133131137392.069645559-4261.06964555943
15258873219115.95451556239757.0454844381
16180083173207.1371432026875.86285679847
17324799366787.292272133-41988.2922721329
18230964206748.43561519624215.5643848039
19236785230684.6002400066100.39975999422
20135473134762.874767546710.125232453554
21202925196089.5167290186835.48327098244
22215147198584.95002724116562.0499727585
23344297258451.49826868285845.5017313181
24153935146348.7169251677586.28307483286
25132943155392.930884105-22449.9308841053
26174724227290.180188182-52566.1801881819
27174415212482.93950013-38067.9395001299
28225548256280.450984083-30732.4509840831
29223632206296.54678967817335.4532103217
30124817129842.37561568-5025.37561568024
31221698269033.702987835-47335.7029878354
32210767219412.613180463-8645.6131804632
33170266175837.944838158-5571.94483815752
34260561256027.9069956774533.09300432325
358485386353.7787618281-1500.77876182813
36294424291745.6050694052678.39493059455
3710101196540.92061557744470.07938442255
38215641208983.6033604696657.39663953146
39325107287314.40365703537792.5963429646
4071768074.44056482022-898.440564820223
41167542157733.5255230429808.47447695818
4210640883642.051495917722765.9485040823
4396560107417.130218649-10857.1302186493
44265769270186.91170701-4417.91170700963
45269651280878.570225415-11227.5702254146
46149112151525.850365619-2413.85036561866
47175824187884.203115557-12060.2031155569
48152871170870.686001169-17999.6860011694
49111665101097.3413429510567.65865705
50116408168882.463456405-52474.4634564047
51362301325157.54938712837143.450612872
5278800104490.342135747-25690.3421357468
53183167186966.836477121-3799.8364771212
54277965320551.557976692-42586.5579766918
55150629189936.852727784-39307.8527277837
56168809191919.270547128-23110.2705471281
572418839755.1211521562-15567.1211521562
58329267299251.24972353730015.7502764633
596502966258.0146620562-1229.01466205623
60101097112606.818937684-11509.8189376842
61218946208974.5089696959971.49103030473
62244052238755.0222603355296.97773966479
63341570330763.63206382510806.367936175
64103597100211.7399473533385.26005264679
65233328264804.003441408-31476.0034414077
66256462273054.043256453-16592.0432564526
67206161158682.23006939847478.7699306021
68311473321268.37262478-9795.37262477956
69235800263954.697776466-28154.6977764656
70177939205856.526695903-27917.5266959032
71207176194544.72247653512631.2775234647
72196553182592.50341182513960.4965881751
73174184164858.0365155929325.96348440828
74143246148732.892327114-5486.89232711446
75187559219808.775500812-32249.7755008119
76187681182015.7428997175665.25710028265
77119016135913.04471131-16897.0447113098
78182192193510.067266788-11318.067266788
797356690394.832576842-16828.832576842
80194979191528.2906855843450.70931441571
81167488158528.7224776558959.27752234479
82143756154336.762468408-10580.7624684077
83275541207047.4583411768493.5416588298
84243199228136.44173882115062.558261179
85182999184196.218655719-1197.21865571864
86135649141183.609756441-5534.60975644122
87152299151233.3050499621065.69495003765
88120221133097.061128608-12876.0611286078
89346485269687.62512195576797.374878045
90145790166830.144395076-21040.1443950763
91193339154511.57801013838827.421989862
9280953101709.594007975-20756.5940079755
93122774137632.81408174-14858.8140817405
94130585111231.73013958919353.2698604108
95112611102775.5267220419835.47327795902
96286468278638.8450577357829.15494226518
97241066222954.39482673318111.6051732672
98148446199422.515398974-50976.5153989737
99204713186015.23429945118697.7657005492
100182079175281.9642203476797.03577965279
101140344142656.192595492-2312.19259549207
102220516215351.1372902975164.86270970319
103243060210629.19905706332430.8009429367
104162765149896.13923500512868.8607649948
105182613176169.6371458876443.362854113
106232138235283.386545188-3145.38654518839
107265318294197.685886207-28879.685886207
1088557485379.225269009194.774730990997
109310839300619.99437799810219.005622002
110225060199608.4046097825451.5953902201
111232317249055.846235505-16738.8462355047
112144966153855.283905725-8889.2839057252
1134328753380.2839320376-10093.2839320376
114155754151156.1477925914597.85220740899
115164709179952.388345007-15243.3883450067
116201940212305.67453777-10365.6745377696
117235454230150.8437811565303.15621884362
118220801184930.98141203835870.0185879623
11999466161620.776614763-62154.7766147634
12092661100880.68182418-8219.68182418035
121133328131508.7628922661819.23710773424
1226136190130.2913953462-28769.2913953462
123125930154787.747716187-28857.7477161869
124100750139965.726155311-39215.7261553113
125224549199355.1272779125193.8727220896
1268231673302.88797845239013.11202154775
12710201095733.89491717766276.10508282236
12810152399040.96454784772482.03545215228
129243511195469.97233042748041.027669573
1302293820684.8805659552253.11943404503
1314156641181.2886777993384.711322200707
132152474166072.769705658-13598.7697056584
1336185748210.655976328413646.3440236716
13499923135768.8616935-35845.8616935
135132487137621.591138349-5134.59113834947
136317394324286.614038363-6892.6140383629
1372105421796.6953016271-742.695301627124
138209641197593.53819654612047.4618034541
1392264833910.1118921077-11262.1118921077
1403141435522.9657791326-4108.96577913265
1414669865250.5637461765-18552.5637461765
142131698141878.459924201-10180.4599242012
1439173577266.85371212814468.1462878721
144244749277509.529252606-32760.5292526055
145184510152938.07092176231571.9290782375
1467986386105.3953338669-6242.39533386684
147128423103045.81778307625377.182216924
14897839112765.612803976-14926.6128039756
1493821454155.9515575675-15941.9515575675
150151101145952.8239258975148.17607410341
151272458248368.45123191324089.5487680874
152172494178620.31718826-6126.31718825962
153108043113702.07255699-5659.07255699029
154328107331367.299354546-3260.299354546
155250579282783.982782782-32204.982782782
156351067332153.20861477418913.791385226
157158015156173.8930459271841.10695407262
1589886687490.012241051111375.9877589489
15985439110515.478134519-25076.4781345191
160229242221145.0177622988096.9822377018
161351619350750.659553977868.34044602312
1628420773541.024811458210665.9751885418
163120445122792.387687964-2347.38768796411
164324598303799.41569122220798.5843087776
165131069144926.754126632-13857.7541266324
166204271188701.84688218315569.1531178174
167165543178778.31574919-13235.3157491896
168141722117920.58934686123801.4106531393
169116048113825.6269456572222.37305434286
170250047175920.61895113274126.3810488685
171299775290155.5325563639619.46744363676
172195838185054.16382393910783.8361760609
173173260126414.1757163146845.8242836898
174254488222091.50254197632396.497458024
175104389143629.994162523-39240.9941625228
176136084138905.258999012-2821.25899901245
177199476223906.285329451-24430.2853294515
1789249979762.083240595712736.9167594042
179224330222673.9237143011656.07628569863
180135781108446.80294761427334.1970523862
1817440885466.5201384414-11058.5201384414
18281240103377.942459695-22137.9424596946
1831468812310.53532991822377.46467008184
184181633167981.22787578913651.772124211
185271856270882.930703425973.069296574556
18671998659.00071437811-1460.00071437811
1874666051360.4072830372-4700.40728303716
1881754710046.19065729317500.80934270688
189133368136919.016574045-3551.01657404511
1909522763748.649583040431478.3504169596
191152601106022.84458243446578.1554175664
1929814697677.6488651539468.35113484608
1937961989102.9658358318-9483.96583583181
1945919472679.4028058271-13485.4028058271
195139942160929.09861365-20987.0986136499
196118612106786.4870192511825.5129807498
1977288087657.3598458519-14777.3598458518
1986547562365.99445394873109.00554605126
19999643121942.08077975-22299.0807797503
2007196569168.13174970492796.86825029514
2017727271806.67195842865465.32804157137
2024928942473.10978067156815.89021932854
203135131112499.6517935722631.3482064295
204108446112612.805773604-4166.80577360375
20589746112809.582168558-23063.5821685583
2064429648065.4999890486-3769.49998904857
2077764872704.82085654084943.17914345918
208181528148619.04017281332908.9598271875
209134019110811.99363578823207.0063642118
210124064127378.602027905-3314.60202790497
2119263092346.1452527092283.854747290795
21212184889116.345142723732731.6548572763
2135291552161.0510516363753.948948363691
2148187284771.9777346394-2899.97773463939
2155898174390.777299517-15409.777299517
2165351567554.9060658628-14039.9060658628
2176081290517.1332723608-29705.1332723608
2185637563766.4721167013-7391.47211670135
2196549071745.7399426278-6255.73994262779
2208094966211.871042708614737.1289572914
2217630292392.5277124837-16090.5277124837
222104011145154.639106136-41143.6391061355
22398104136846.570810523-38742.5708105227
2246798971376.8758927719-3387.87589277195
2253098930276.2401764047712.759823595252
226135458132451.0450461873006.95495381327
2277350461353.679268699612150.3207313004
2286312380291.5340009904-17168.5340009904
2296125466241.8028282704-4987.80282827042
2307491495401.1021599422-20487.1021599422
2313177441893.3559183981-10119.3559183981
2328143785460.2715761812-4023.27157618121
23387186133183.477184265-45997.4771842652
2345009055892.825166415-5802.825166415
2356574579838.0493439801-14093.0493439801
2365665355416.63882709451236.3611729055
237158399108438.59492546549960.4050745354
2384645558398.7460828004-11943.7460828004
2397362485138.5374050516-11514.5374050516
2403839551203.9109261817-12808.9109261817
2419189985767.26039281956131.73960718052
242139526133835.4717670035690.5282329971
2435216459115.936164932-6951.936164932
2445156753308.3961054262-1741.39610542621
2457055177548.1317566683-6997.13175666832
2468485693733.8387853952-8877.83878539521
247102538117052.40748972-14514.4074897201
2488667879482.2438107747195.75618922602
2498570973827.774891217111881.2251087829
2503466244090.5605709677-9428.56057096775
251150580146193.2186465544386.78135344596
2529961196714.92261605442896.07738394559
2531934913719.09665000565629.90334999443
2549937394101.39430245945271.60569754061
25586230101363.991327961-15133.9913279613
2563083726362.26064783944474.73935216061
2573170639434.3003003959-7728.30030039589
2588980669576.484662318120229.5153376819
2596208851190.331804714510897.6681952855
2604015138543.28679721341607.71320278658
2612763435649.6266781231-8015.62667812314
2627699075369.34146121911620.65853878086
2633746022012.960059570115447.0399404299
2645415752433.29654913161723.70345086841
2654986255838.6152974983-5976.61529749832
2668433780549.43722506413787.56277493593
2676417577252.4974032238-13077.4974032238
2685938259103.5861436377278.413856362269
26911930885914.894992429533393.1050075705
2707670283712.0034009521-7010.00340095211
271103425103118.013726774306.98627322623
2727034467747.92505364652596.07494635353
2734341037027.46890379186382.53109620819
27410483899381.77561157325456.22438842677
2756221551962.514710139910252.4852898601
2766930468827.6577615713476.342238428647
2775311732712.925530009620404.0744699904
2781976415464.09599598484299.90400401519
2798668093263.8814051549-6583.88140515492
2808410571404.493396130312700.5066038697
2817794575065.74743407032879.25256592972
2828911358140.98021126930972.019788731
2839100579239.259377977211765.7406220228
2844024828709.72018972411538.279810276
2856418758931.65162054795255.34837945209
2865085742743.06832841668113.93167158338
2875661347437.6951516299175.30484837102
2886279266082.9783867718-3290.97838677182
2897253581811.60300265-9276.60300264995


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.7667838897817150.4664322204365710.233216110218285
180.6349091563936790.7301816872126420.365090843606321
190.5892812696842920.8214374606314170.410718730315709
200.4889577102364650.977915420472930.511042289763535
210.4839912846772070.9679825693544140.516008715322793
220.5786981784208040.8426036431583930.421301821579196
230.8957679889190880.2084640221618230.104232011080912
240.8516667124125310.2966665751749370.148333287587469
250.9220175324138740.1559649351722520.0779824675861262
260.9509138830908310.09817223381833760.0490861169091688
270.9485321701958780.1029356596082430.0514678298041215
280.9489899111790950.1020201776418110.0510100888209054
290.940664934379310.1186701312413810.0593350656206904
300.9245430497712660.1509139004574680.0754569502287342
310.9793798734470230.0412402531059530.0206201265529765
320.9705138836015250.0589722327969490.0294861163984745
330.9583115440597620.08337691188047550.0416884559402378
340.9422973908238890.1154052183522210.0577026091761107
350.923125430961160.153749138077680.07687456903884
360.9055201453137160.1889597093725680.0944798546862839
370.8784042330210920.2431915339578170.121595766978908
380.8464252391524270.3071495216951470.153574760847573
390.9305807931406280.1388384137187430.0694192068593717
400.9424825625868370.1150348748263260.0575174374131629
410.928008153537610.143983692924780.0719918464623898
420.9112272401618080.1775455196763840.088772759838192
430.8909375933956980.2181248132086050.109062406604302
440.8677070414024740.2645859171950530.132292958597526
450.8832127461327370.2335745077345260.116787253867263
460.8555791031332620.2888417937334750.144420896866738
470.8431325246684180.3137349506631640.156867475331582
480.8175199904866850.3649600190266310.182480009513315
490.7983199152202490.4033601695595010.201680084779751
500.9193070985749290.1613858028501420.080692901425071
510.9861993313829670.02760133723406650.0138006686170332
520.9870142458600350.02597150827992920.0129857541399646
530.9835935722552980.03281285548940340.0164064277447017
540.9931406021886520.01371879562269630.00685939781134813
550.9968146870890550.006370625821890950.00318531291094548
560.9971143071749280.005771385650143510.00288569282507176
570.9968450573319040.006309885336191270.00315494266809564
580.9970892287107670.005821542578465540.00291077128923277
590.9959695334111380.00806093317772470.00403046658886235
600.9951745619913550.009650876017290970.00482543800864549
610.9938810886057710.01223782278845760.00611891139422882
620.9922586986542310.01548260269153730.00774130134576864
630.9902957694771650.01940846104567060.00970423052283532
640.9871817860904740.02563642781905110.0128182139095255
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1800.9999990953548161.80929036865321e-069.04645184326607e-07
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1880.9999951031435679.79371286563292e-064.89685643281646e-06
1890.9999930669103581.38661792838916e-056.93308964194578e-06
1900.9999947163729091.05672541820914e-055.28362709104571e-06
1910.9999998671990192.65601961037097e-071.32800980518548e-07
1920.9999997735741334.52851733271738e-072.26425866635869e-07
1930.9999996264015657.47196869006189e-073.73598434503094e-07
1940.9999994088806821.18223863693675e-065.91119318468377e-07
1950.9999993824293571.23514128524528e-066.17570642622642e-07
1960.999999416690331.1666193394981e-065.83309669749048e-07
1970.9999992820992891.43580142108338e-067.17900710541692e-07
1980.9999988813244412.23735111743572e-061.11867555871786e-06
1990.9999989248235672.15035286594949e-061.07517643297474e-06
2000.9999984334756443.13304871191637e-061.56652435595819e-06
2010.9999977907673144.41846537190764e-062.20923268595382e-06
2020.9999964868884957.02622301047123e-063.51311150523562e-06
2030.9999961617451817.67650963876113e-063.83825481938057e-06
2040.9999937233014781.25533970432676e-056.27669852163379e-06
2050.9999909032877151.81934245707018e-059.09671228535092e-06
2060.9999857802673252.8439465350664e-051.4219732675332e-05
2070.9999778311176924.43377646150028e-052.21688823075014e-05
2080.999994967919091.00641618192196e-055.03208090960978e-06
2090.999997156323875.6873522599566e-062.8436761299783e-06
2100.9999952442102059.51157959059984e-064.75578979529992e-06
2110.9999928223903351.4355219330748e-057.17760966537399e-06
2120.9999978031949054.39361019048612e-062.19680509524306e-06
2130.9999963400864847.31982703189457e-063.65991351594729e-06
2140.9999939369255291.21261489423799e-056.06307447118995e-06
2150.9999902701740641.9459651871777e-059.7298259358885e-06
2160.9999858378696022.83242607965649e-051.41621303982824e-05
2170.9999939018828491.21962343028074e-056.09811715140368e-06
2180.9999897132174532.05735650946547e-051.02867825473273e-05
2190.9999834017063623.31965872763401e-051.659829363817e-05
2200.9999758565320844.82869358328097e-052.41434679164048e-05
2210.9999703524169665.92951660690538e-052.96475830345269e-05
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2230.9999938875370531.22249258943294e-056.11246294716469e-06
2240.9999894580410412.10839179182084e-051.05419589591042e-05
2250.9999817933511483.64132977035325e-051.82066488517663e-05
2260.9999738623763295.22752473417686e-052.61376236708843e-05
2270.999963150649487.36987010402022e-053.68493505201011e-05
2280.9999569489281278.61021437451279e-054.30510718725639e-05
2290.9999275138892460.000144972221508397.24861107541948e-05
2300.9999568799633768.62400732475749e-054.31200366237874e-05
2310.9999583485953788.33028092435449e-054.16514046217724e-05
2320.9999282613296050.000143477340789557.17386703947748e-05
2330.9999996771904736.45619054370868e-073.22809527185434e-07
2340.999999372258321.25548336008262e-066.27741680041312e-07
2350.9999987543311752.49133764978124e-061.24566882489062e-06
2360.9999975590445884.88191082485698e-062.44095541242849e-06
2370.9999999933241661.33516676799875e-086.67583383999377e-09
2380.9999999841076033.17847930239303e-081.58923965119652e-08
2390.9999999648339027.03321964939287e-083.51660982469643e-08
2400.9999999384806971.23038606619824e-076.1519303309912e-08
2410.9999998666700622.66659875586912e-071.33329937793456e-07
2420.9999997861246674.27750665154258e-072.13875332577129e-07
2430.9999995816666748.3666665286282e-074.1833332643141e-07
2440.9999990956533131.80869337419069e-069.04346687095346e-07
2450.9999986791071472.6417857056795e-061.32089285283975e-06
2460.9999974832357045.0335285924052e-062.5167642962026e-06
2470.9999977313130244.53737395161886e-062.26868697580943e-06
2480.9999958896392638.22072147394009e-064.11036073697005e-06
2490.9999925737075521.48525848950474e-057.42629244752372e-06
2500.9999908063756031.83872487948598e-059.19362439742992e-06
2510.9999845359052953.09281894107658e-051.54640947053829e-05
2520.9999749826835925.00346328165593e-052.50173164082796e-05
2530.9999445722316810.0001108555366372045.54277683186018e-05
2540.9998819209908030.0002361580183945850.000118079009197293
2550.9998906534112040.0002186931775927340.000109346588796367
2560.9997600175767970.0004799648464050750.000239982423202537
2570.9996814563836060.000637087232788450.000318543616394225
2580.9997874177677440.0004251644645128820.000212582232256441
2590.9995430838052050.0009138323895899390.00045691619479497
2600.9991771698100520.001645660379895210.000822830189947604
2610.9987628284910880.002474343017824870.00123717150891243
2620.9973089572680850.005382085463829330.00269104273191466
2630.9965742603911950.00685147921760980.0034257396088049
2640.9970672304992670.005865539001464970.00293276950073249
2650.9954792155355860.009041568928827020.00452078446441351
2660.9906573923175950.01868521536481050.00934260768240527
2670.9822133705932030.03557325881359490.0177866294067974
2680.9686631488344880.06267370233102380.0313368511655119
2690.9999392211121430.0001215577757143826.07788878571909e-05
2700.9999548428216419.0314356718228e-054.5157178359114e-05
2710.999614807741440.0007703845171203280.000385192258560164
2720.9981819950119690.003636009976061330.00181800498803067


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2020.7890625NOK
5% type I error level2220.8671875NOK
10% type I error level2260.8828125NOK