Multiple Linear Regression - Estimated Regression Equation
totsize[t] = + 2307.62466618815 + 7.56541345402203pageviews[t] -0.136073044053713timeinrfc[t] + 6.65623958417471logins[t] -10.9886298491094compendiumviewsinfo[t] + 76.0490323880027compendiumviewspr[t] + 2288.72188427968sharedcompendiums[t] + 2.35843761982934bloggedcomputations[t] + 327.877361851027compendiumsreviewed[t] -77.8978066473687feedbackmessagesp1[t] + 204.405506531731feedbackmessagesp120[t] + 1.11009133506433totrevisions[t] + 0.44886094377429totseconds[t] + 27.190121718513tothyperlinks[t] + 7.23814799402061totblogs[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2307.624666188155872.1245970.3930.6948960.347448
pageviews7.5654134540220312.1357510.62340.5339760.266988
timeinrfc-0.1360730440537130.068659-1.98190.0493350.024668
logins6.6562395841747171.4522240.09320.9259040.462952
compendiumviewsinfo-10.988629849109425.068197-0.43830.6617680.330884
compendiumviewspr76.049032388002741.3183861.84060.0676750.033838
sharedcompendiums2288.72188427968639.3595623.57970.0004650.000232
bloggedcomputations2.35843761982934111.969630.02110.9832230.491612
compendiumsreviewed327.877361851027880.4911630.37240.7101390.35507
feedbackmessagesp1-77.8978066473687265.411163-0.29350.7695490.384775
feedbackmessagesp120204.405506531731128.5674151.58990.1139840.056992
totrevisions1.110091335064330.3558523.11950.0021750.001088
totseconds0.448860943774290.0915264.90422e-061e-06
tothyperlinks27.190121718513573.8795860.04740.9622740.481137
totblogs7.23814799402061595.0226380.01220.9903110.495155


Multiple Linear Regression - Regression Statistics
Multiple R0.864136555339632
R-squared0.746731986274245
Adjusted R-squared0.722934991695986
F-TEST (value)31.3792560576732
F-TEST (DF numerator)14
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation27377.1295558262
Sum Squared Residuals111676576184.757


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1140824137499.7949189563324.20508104445
2110459102267.4846340888191.51536591233
3105079110250.053723095-5171.0537230955
4112098116977.242136827-4879.24213682722
54392966046.1828233547-22117.1828233547
67617359806.740816092116366.2591839079
7187326146360.28094703440965.7190529661
82280712920.34381327779886.65618672234
9144408122448.94166985121959.0583301492
106648579770.1186999969-13285.1186999969
1179089114625.10868209-35536.1086820904
1281625108633.757183847-27008.7571838474
136878883434.2043810813-14646.2043810813
1410329792641.195091181910655.8049088181
156944692970.9402044497-23524.9402044497
16114948140195.690946552-25247.6909465524
17167949137084.79972771730864.2002722835
1812508195095.908162626829985.0918373732
19125818103032.3880454122785.6119545899
20136588130830.5144692935757.48553070691
21112431127422.958178076-14991.9581780763
2210303787013.09844607416023.901553926
238231789574.0263141825-7257.02631418248
24118906130120.661423037-11214.6614230365
2583515112406.010711621-28891.010711621
26104581111387.451420797-6806.45142079661
27103129123672.664528461-20543.6645284609
2883243116632.580177453-33389.5801774528
293711054440.6812154429-17330.6812154429
30113344137828.715136622-24484.7151366222
31139165157342.923938408-18177.9239384082
3286652103091.026134966-16439.0261349657
33112302144288.559873409-31986.5598734089
346965254021.92766997715630.072330023
35119442144254.139380031-24812.139380031
366986760884.15625461698982.84374538305
37101629121264.385711751-19635.3857117514
387016882048.6436924925-11880.6436924925
393108148199.6703266461-17118.6703266461
40103925128466.171968722-24541.1719687219
4192622113040.198498553-20418.1984985534
427901194329.1587663622-15318.1587663622
4393487119682.576900464-26195.576900464
446452080112.7759065382-15592.7759065382
459347383074.26111381710398.738886183
46114360109661.3316158824698.66838411781
473303254873.0732717182-21841.0732717182
4896125103448.009790273-7323.00979027328
49151911157270.311973303-5359.31197330314
5089256108912.773808121-19656.7738081214
5195671122302.945577102-26631.9455771017
52595013866.878142313-7916.87814231303
53149695136798.92105744912896.0789425512
543255138626.6370469812-6075.6370469812
553170141604.8655080997-9903.86550809973
56100087113221.170160159-13134.1701601585
57169707178915.498260378-9208.49826037813
58150491176253.604156179-25762.6041561791
59120192144611.610839359-24419.6108393593
6095893102905.095382694-7012.09538269396
61151715154978.073615522-3263.0736155219
62176225193475.987077612-17250.9870776116
635990091170.0244187413-31270.0244187413
64104767119329.866063994-14562.8660639943
65114799126718.109003381-11919.1090033811
6672128102456.024649324-30328.0246493236
67143592114351.85796850529240.1420314954
6889626137211.771495913-47585.7714959127
69131072101262.64181045529809.3581895455
7012681793848.966053294232968.0339467058
7181351116968.124099773-35617.1240997727
722261841086.6416017874-18468.6416017874
7388977111530.237007848-22553.237007848
749205987375.51116577314683.48883422694
758189788238.1372797858-6341.13727978576
7610814685508.782677946922637.2173220531
77126372118515.3821074667856.61789253408
78249771131992.800682286117778.199317714
797115482506.1598792132-11352.1598792132
807157171084.2398610452486.760138954774
815591871081.4684030937-15163.4684030937
82160141124477.27117359335663.7288264067
833869264876.4343342026-26184.4343342026
84102812104477.807970044-1665.80797004387
855662237514.451957673219107.5480423268
861598635470.0575770732-19484.0575770732
87123534129434.196409108-5900.19640910776
8810853598500.377795618310034.6222043817
8993879124063.173704374-30184.1737043736
90144551118314.69920723626236.3007927635
915675073851.2214320464-17101.2214320464
9212765498858.088351511128795.9116484889
936559486030.1952230523-20436.1952230523
945993873022.6450476665-13084.6450476665
95146975125107.78479552621867.215204474
96143372112260.31732212831111.6826778724
97168553146423.53431590322129.4656840967
98183500150298.10671819333201.8932818072
99165986194399.140643276-28413.1406432763
100184923187340.385625681-2417.38562568133
101140358139056.8046357171301.1953642827
102149959138077.75547809611881.2445219035
1035722459536.2494045436-2312.24940454358
1044375043672.756157818277.2438421818241
1054802972981.3173287825-24952.3173287825
106104978126823.283582681-21845.2835826812
107100046115103.106480123-15057.1064801227
10810104799100.20388439471946.7961156053
109197426121817.10073508875608.8992649118
11016090287001.118817549373900.8811824507
111147172127001.78660435720170.2133956428
11210943286467.503857630622964.4961423694
11311684768.52746212273-3600.52746212273
1148324894883.2356714279-11635.2356714279
1152516230749.0734825354-5587.07348253543
1164572470274.9803603446-24550.9803603446
117110529132703.704589576-22174.704589576
1188554519.53061379518-3664.53061379518
11910138283881.203956356117500.7960436439
1201411615534.7551810749-1418.75518107493
12189506124594.787899215-35088.7878992152
122135356110538.53959916924817.4604008314
12311606672833.820491943543232.1795080565
12414424478972.961605496265271.0383945038
125877316326.0402814987-7553.04028149872
12610215387789.322555984514363.6774440155
127117440130563.249771056-13123.2497710558
128104128110940.892543634-6812.89254363408
129134238145764.585691153-11526.5856911528
130134047143214.59721547-9167.59721547049
131279488194893.46186839184594.5381316092
1327975696597.6301731674-16841.6301731675
1336608958006.12463956248082.87536043758
13410207095379.20075178816690.79924821187
135146760144192.6872665872567.31273341318
13615477173442.4847410681328.51525894
137165933128524.49446945337408.5055305468
1386459382555.3025437049-17962.3025437049
13992280124049.028737998-31769.0287379976
1406715094165.0278758171-27015.0278758171
14112869268694.668353338459997.3316466616
142124089102174.20018088121914.7998191186
143125386117653.2148698867732.78513011414
1443723821680.966241375415557.0337586246
145140015143309.161964954-3294.16196495418
146150047107346.24077207942700.7592279212
147154451116693.68499015237757.3150098476
148156349135459.96361514320889.0363848565
149022921.1163785693-22921.1163785693
15060237051.25803056398-1028.25803056398
15102338.77281472518-2338.77281472518
15202319.54721794424-2319.54721794424
15304596.34655046783-4596.34655046783
15402307.62466618815-2307.62466618815
1558460180791.84026892223809.15973107776
15668946114872.420957275-45926.4209572749
15702307.62466618815-2307.62466618815
15802336.88845039803-2336.88845039803
15916444436.23901292121-2792.23901292121
160617912941.4661860771-6762.46618607711
16139267820.46627256696-3894.46627256695
1625278926400.971596245626388.0284037544
16302408.47935583509-2408.47935583509
16410035061657.059699121838692.9403008782


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
180.4315703555802960.8631407111605920.568429644419704
190.322636197070940.6452723941418810.67736380292906
200.2273376594848550.454675318969710.772662340515145
210.1624662462726060.3249324925452130.837533753727394
220.1781403258322330.3562806516644660.821859674167767
230.1097490013006540.2194980026013070.890250998699346
240.0719913692408730.1439827384817460.928008630759127
250.05858587659493720.1171717531898740.941414123405063
260.03825641912595270.07651283825190530.961743580874047
270.0244615301599740.04892306031994790.975538469840026
280.01584005759955110.03168011519910210.984159942400449
290.01165924128291830.02331848256583660.988340758717082
300.01088478103416890.02176956206833790.989115218965831
310.006999195442459340.01399839088491870.993000804557541
320.00421853928172240.008437078563444790.995781460718278
330.002541298697600970.005082597395201940.997458701302399
340.003821341270527080.007642682541054160.996178658729473
350.00729869279717810.01459738559435620.992701307202822
360.00434926951585840.00869853903171680.995650730484142
370.002982762382999830.005965524765999650.997017237617
380.001980756719801490.003961513439602980.998019243280199
390.002034548933546420.004069097867092840.997965451066454
400.001418543106443540.002837086212887070.998581456893556
410.002468142433537930.004936284867075860.997531857566462
420.001510060198811170.003020120397622340.998489939801189
430.00121768306065250.0024353661213050.998782316939347
440.0007954079801530910.001590815960306180.999204592019847
450.003018900855456180.006037801710912350.996981099144544
460.001906525010703430.003813050021406860.998093474989297
470.00150155855442950.0030031171088590.998498441445571
480.0009084217194550470.001816843438910090.999091578280545
490.0005645036250077810.001129007250015560.999435496374992
500.000495279717038030.000990559434076060.999504720282962
510.0003473962991405460.0006947925982810920.999652603700859
520.0002427111210060640.0004854222420121280.999757288878994
530.0002036408053434370.0004072816106868740.999796359194657
540.0001175556613719320.0002351113227438640.999882444338628
557.60799182937448e-050.000152159836587490.999923920081706
564.84634202059586e-059.69268404119172e-050.999951536579794
574.43048155311918e-058.86096310623835e-050.999955695184469
588.11117058178312e-050.0001622234116356620.999918888294182
596.4634519439192e-050.0001292690388783840.999935365480561
603.77932529894022e-057.55865059788044e-050.999962206747011
612.47182740044196e-054.94365480088393e-050.999975281725996
621.5476647629556e-053.0953295259112e-050.99998452335237
631.562291665286e-053.124583330572e-050.999984377083347
649.72822045117446e-061.94564409023489e-050.999990271779549
656.33970051462809e-061.26794010292562e-050.999993660299485
664.98896577833692e-069.97793155667383e-060.999995011034222
678.30576997477823e-061.66115399495565e-050.999991694230025
682.6860945491255e-055.372189098251e-050.999973139054509
692.51395238908625e-055.0279047781725e-050.999974860476109
706.72700038073696e-050.0001345400076147390.999932729996193
710.0001085731996604030.0002171463993208060.99989142680034
728.71247825515836e-050.0001742495651031670.999912875217448
738.72616549217975e-050.0001745233098435950.999912738345078
745.28098983014564e-050.0001056197966029130.999947190101699
753.40438344701838e-056.80876689403677e-050.99996595616553
763.3264021099794e-056.6528042199588e-050.9999667359789
771.97877771066641e-053.95755542133281e-050.999980212222893
780.1415184437191790.2830368874383580.858481556280821
790.1241346430125170.2482692860250330.875865356987483
800.1026514435248110.2053028870496220.897348556475189
810.09170300609049080.1834060121809820.908296993909509
820.1497432218099160.2994864436198330.850256778190083
830.1611233468273010.3222466936546010.838876653172699
840.1372927095397940.2745854190795870.862707290460207
850.1218301366224410.2436602732448820.878169863377559
860.1045499267025180.2090998534050350.895450073297482
870.09290543277888470.1858108655577690.907094567221115
880.08893199765004550.1778639953000910.911068002349954
890.1065883541497370.2131767082994740.893411645850263
900.1180007426380410.2360014852760830.881999257361959
910.1106714342278020.2213428684556030.889328565772198
920.1244843853667860.2489687707335730.875515614633213
930.1253996686070530.2507993372141060.874600331392947
940.1070662335532660.2141324671065320.892933766446734
950.1321154972175250.264230994435050.867884502782475
960.1458609107544530.2917218215089070.854139089245547
970.1332942616548760.2665885233097520.866705738345124
980.1390876685988370.2781753371976740.860912331401163
990.2537712186899830.5075424373799670.746228781310017
1000.2187346305585010.4374692611170020.781265369441499
1010.2108217271517070.4216434543034140.789178272848293
1020.1944747747552350.388949549510470.805525225244765
1030.1616178613022490.3232357226044990.838382138697751
1040.1360864974892260.2721729949784520.863913502510774
1050.1392375183778830.2784750367557660.860762481622117
1060.1618993530876060.3237987061752120.838100646912394
1070.1418387715954980.2836775431909950.858161228404502
1080.1161331061093620.2322662122187230.883866893890639
1090.2179231958038630.4358463916077260.782076804196137
1100.3470592498826170.6941184997652340.652940750117383
1110.3171868105281050.634373621056210.682813189471895
1120.3333562882995980.6667125765991950.666643711700402
1130.2869244557944560.5738489115889130.713075544205544
1140.2755543999335980.5511087998671960.724445600066402
1150.2409330864892890.4818661729785780.759066913510711
1160.3920535133342820.7841070266685630.607946486665718
1170.3594964451396120.7189928902792240.640503554860388
1180.3083613321830730.6167226643661450.691638667816927
1190.274542831600420.549085663200840.72545716839958
1200.2301566977204470.4603133954408940.769843302279553
1210.5485945890224950.9028108219550090.451405410977505
1220.5194460023302880.9611079953394250.480553997669712
1230.6084218733561950.783156253287610.391578126643805
1240.7270626546485160.5458746907029680.272937345351484
1250.6751762207564350.649647558487130.324823779243565
1260.6243361798355960.7513276403288080.375663820164404
1270.5834447982100830.8331104035798340.416555201789917
1280.6547807161906870.6904385676186270.345219283809313
1290.6437232029794870.7125535940410270.356276797020513
1300.5864741200627180.8270517598745630.413525879937282
1310.9221911524008640.1556176951982720.0778088475991361
1320.8914973965818120.2170052068363750.108502603418188
1330.8566787154717210.2866425690565570.143321284528279
1340.8067551676591350.3864896646817290.193244832340865
1350.7605597762628140.4788804474743720.239440223737186
1360.9999623889848117.52220303785403e-053.76110151892702e-05
1370.9999437573010490.0001124853979028185.62426989514088e-05
1380.9999303259566760.0001393480866488646.96740433244319e-05
1390.9999815322715043.6935456991569e-051.84677284957845e-05
1400.9999999986466462.7067073228226e-091.3533536614113e-09
1410.9999999924825191.50349617241143e-087.51748086205714e-09
1420.99999989474622.10507600665515e-071.05253800332758e-07
1430.9999998746723482.50655304334608e-071.25327652167304e-07
1440.9999999999957168.56727791756119e-124.2836389587806e-12
1450.9999999992744841.45103156889615e-097.25515784448074e-10
14614.25152281819284e-452.12576140909642e-45


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level560.434108527131783NOK
5% type I error level620.48062015503876NOK
10% type I error level630.488372093023256NOK