Multiple Linear Regression - Estimated Regression Equation
time_in_rfc[t] = + 6943.13839449634 -8634.04011354571pop[t] + 54.6308630677891pageviews[t] + 15.5415941936412pageviews_p[t] + 169.584091684584logins[t] -0.854341195300784logins_p[t] -2772.50305872842shared_compendiums[t] + 1791.59253418945shared_compendiums_p[t] + 345.381137625476blogged_computations[t] + 19.1624876528432blogged_computations_p[t] -4517.16576916986compendiums_reviewed[t] + 3450.56225204263compendiums_reviewed_p[t] + 1291.5044154541feedback_messages[t] -744.87728714456feedback_messages_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)6943.138394496348937.6479610.77680.437920.21896
pop-8634.0401135457111763.551392-0.7340.4635950.231798
pageviews54.63086306778919.4914865.755800
pageviews_p15.541594193641210.9728471.41640.1577990.0789
logins169.584091684584171.7620910.98730.3243540.162177
logins_p-0.854341195300784192.938853-0.00440.996470.498235
shared_compendiums-2772.503058728421711.068528-1.62030.1063070.053153
shared_compendiums_p1791.592534189451882.9571720.95150.3421970.171099
blogged_computations345.381137625476243.9537831.41580.1579760.078988
blogged_computations_p19.1624876528432264.2399370.07250.9422410.471121
compendiums_reviewed-4517.165769169862304.231127-1.96040.0509610.025481
compendiums_reviewed_p3450.562252042632523.101621.36760.1725580.086279
feedback_messages1291.5044154541586.0599732.20370.0283740.014187
feedback_messages_p-744.87728714456645.520949-1.15390.2495360.124768


Multiple Linear Regression - Regression Statistics
Multiple R0.93981236641094
R-squared0.883247284058931
Adjusted R-squared0.877728064759899
F-TEST (value)160.03119937883
F-TEST (DF numerator)13
F-TEST (DF denominator)275
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation28791.9527547838
Sum Squared Residuals227968549444.268


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1210907163982.7377702146924.2622297904
2120982115675.1763426985306.82365730196
3176508164162.68272195112345.3172780493
4179321234560.155097394-55239.1550973944
512318598870.766755419424314.2332445806
65274659552.1066955642-6806.10669556416
7385534308375.16606801577158.8339319846
83317045169.9133474761-11999.9133474761
910164596791.91851905154853.08148094851
10149061154518.051797243-5457.0517972427
11165446154180.09119510611265.9088048938
12237213200697.87901542436515.1209845759
13173326186359.066577795-13033.0665777949
14133131135227.544407106-2096.54440710635
15258873230186.88294632228686.1170536784
16180083163007.45635963417075.5436403657
17324799414267.417362763-89468.4173627625
18230964191636.43619520639327.5638047942
19236785224870.2320415511914.7679584498
20135473131389.5674439894083.43255601107
21202925213305.765080489-10380.7650804892
22215147215673.935724947-526.935724946723
23344297223510.682589114120786.317410886
24153935124794.93303863229140.0669613681
25132943162577.62778516-29634.6277851604
26174724269405.211217301-94681.2112173008
27174415223891.315825069-49476.3158250694
28225548238313.222949066-12765.2229490657
29223632196976.41068860926655.5893113907
30124817133207.070723297-8390.07072329689
31221698205008.61236670816689.3876332923
32210767193900.00256260716866.9974373931
33170266171072.160281501-806.160281501152
34260561217338.94077897643222.0592210237
358485399868.6692036746-15015.6692036746
36294424254632.23035946839791.7696405315
3710101176794.49172813924216.508271861
38215641200098.40126277715542.5987372232
39325107268377.65216621456729.3478337861
40717619987.4084837431-12811.4084837431
41167542163350.8594683394191.14053166128
4210640885331.594098869821076.4059011302
4396560125240.094981975-28680.0949819747
44265769266954.259691973-1185.25969197338
45269651262074.2649367757576.73506322541
46149112147832.4269150051279.57308499498
47175824205364.990911496-29540.9909114964
48152871144905.3864370777965.61356292339
49111665124057.119061141-12392.1190611414
50116408157960.636989764-41552.6369897643
51362301378498.250399859-16197.2503998589
527880092234.8481000568-13434.8481000568
53183167210954.40590941-27787.4059094096
54277965323942.882078157-45977.8820781565
55150629185472.696754915-34843.6967549154
56168809172695.673537296-3886.67353729629
572418842373.6115677951-18185.6115677951
58329267258177.08137696671089.9186230344
596502973561.8300383718-8532.83003837184
60101097112063.763809833-10966.7638098332
61218946225101.27038725-6155.27038724987
62244052235956.371758938095.62824106973
63341570329859.84041033311710.159589667
6410359786753.17434600316843.825653997
65233328266883.690360299-33555.6903602987
66256462231405.3683642225056.6316357801
67206161178618.03731212527542.9626878749
68311473316200.652716405-4727.65271640494
69235800239590.948433709-3790.94843370908
70177939209263.652422954-31324.652422954
71207176192908.14535731214267.8546426879
72196553136686.70349435659866.2965056437
73174184157872.82985920316311.170140797
74143246168783.682425466-25537.6824254661
75187559232837.12702111-45278.1270211098
76187681205616.813453697-17935.8134536973
77119016156104.741286419-37088.7412864188
78182192201790.126820206-19598.1268202057
797356692078.2576372678-18512.2576372678
80194979191670.7823054133308.21769458701
81167488154529.90655051112958.0934494885
82143756180233.760409754-36477.7604097535
83275541211836.47336049463704.5266395056
84243199198389.08975742244809.9102425777
85182999173532.9485983659466.05140163512
86135649172727.816940745-37078.8169407447
87152299160988.962723935-8689.96272393544
88120221145254.228675964-25033.2286759637
89346485304746.37588494441738.6241150557
90145790133772.34916807112017.6508319291
91193339171551.51709913821787.4829008624
928095388212.7489549142-7259.74895491422
93122774154314.185506859-31540.1855068594
94130585128203.1620170082381.83798299151
9511261191366.766200877621244.2337991224
96286468282946.4293267393521.57067326075
97241066218761.93190008122304.0680999193
98148446278235.328066311-129789.328066311
99204713197862.6420864396850.35791356141
100182079198864.92439948-16785.9243994798
101140344140580.65380822-236.653808220035
102220516248736.816930532-28220.8169305319
103243060194268.40316519148791.5968348094
104162765152614.59062235910150.4093776408
105182613151792.1418379430820.8581620597
106232138203832.32930073228305.6706992684
107265318304314.644837416-38996.6448374164
10885574101838.776214216-16264.7762142159
109310839276179.9370651834659.0629348202
110225060222755.3009184112304.69908158855
111232317217722.11331778114594.886682219
112144966166990.468893605-22024.4688936046
1134328762275.6183742042-18988.6183742043
114155754173629.756520581-17875.756520581
115164709185424.94632705-20715.9463270498
116201940217767.332117293-15827.3321172926
117235454249702.484757252-14248.4847572519
118220801163421.04644212557379.9535578754
11999466103494.72274194-4028.72274194019
1209266196519.4633308785-3858.46333087845
121133328132868.708443983459.291556017167
1226136191592.4314547938-30231.4314547938
123125930145576.66557952-19646.6655795197
124100750163656.201721191-62906.2017211907
125224549151709.57707682572839.4229231753
1268231661364.262118924820951.7378810752
12710201083503.427394511418506.5726054886
128101523118208.356825604-16685.3568256041
129243511235118.3268125638392.67318743741
1302293830741.7465612753-7803.74656127535
1314156646429.8201382213-4863.82013822127
132152474193648.774480854-41174.7744808542
1336185749939.035092492211917.9649075078
13499923156868.407180675-56945.4071806745
135132487164312.204043632-31825.2040436322
136317394253079.70695317364314.2930468266
1372105429623.689750066-8569.689750066
138209641167838.0233756641802.9766243405
1392264839826.4620935404-17178.4620935404
1403141444717.0321763598-13303.0321763598
1414669871549.5235056959-24851.5235056959
142131698141724.02756251-10026.0275625103
1439173583046.48544019778688.51455980231
144244749270081.188799415-25332.1887994153
145184510175614.7964524748895.20354752565
1467986394836.0226225602-14973.0226225602
147128423136143.552621671-7720.5526216706
14897839113686.930497808-15847.9304978081
1493821455962.6678538717-17748.6678538717
150151101155903.369114413-4802.36911441332
151272458239852.70091042832605.299089572
152172494146143.17702124926350.8229787508
153108043114358.374298831-6315.37429883056
154328107295341.46877067432765.5312293263
155250579236714.74701450713864.2529854927
156351067310946.99970146440120.0002985362
157158015127007.05635040631007.9436495944
1589886681099.456695355217766.5433046448
15985439109611.768062561-24172.7680625609
160229242244955.49088587-15713.4908858698
161351619344702.0004337836916.99956621706
1628420799368.4821515401-15161.4821515401
163120445120723.823339926-278.823339926052
164324598321772.1429371372825.85706286317
165131069160678.586742852-29609.5867428521
166204271172589.74404817131681.2559518295
167165543181907.832316917-16364.8323169168
168141722138432.2305934443289.76940655603
16911604893265.889381372722782.1106186273
170250047150446.94838433899600.051615662
171299775306432.322863425-6657.32286342458
172195838194594.4636640571243.53633594266
173173260184528.449428363-11268.4494283626
174254488248885.0506264665602.94937353361
175104389187819.955647817-83430.9556478173
176136084114652.39310777621431.6068922236
177199476224693.922190199-25217.9221901994
1789249983892.44682936938606.55317063073
179224330229532.410063812-5202.41006381211
18013578188164.879357380547616.1206426195
1817440894705.478737613-20297.478737613
18281240136443.764922207-55203.7649222073
1831468815980.2689400728-1292.26894007284
184181633168856.48094948912776.5190505105
185271856265781.3636279556074.63637204548
186719912300.5934568213-5101.59345682133
1874666042186.35087500124473.64912499878
1881754710166.96850336977380.03149663027
189133368122976.37957900710391.6204209931
19095227105268.705359139-10041.7053591395
191152601134567.43218398418033.567816016
1929814685551.919904262712594.0800957373
1937961997949.5897210663-18330.5897210663
1945919464676.2236950529-5482.22369505293
195139942119923.19551074720018.8044892526
196118612112282.9055221736329.09447782704
1977288079417.020698817-6537.02069881704
1986547550772.925968078914702.0740319211
19999643111499.940015977-11856.9400159775
2007196571719.9443482533245.055651746678
2017727267010.955722474110261.0442775259
2024928928156.205487656821132.7945123432
203135131116165.01764642318965.9823535768
204108446100279.7713391118166.22866088882
20589746107882.700750761-18136.7007507607
2064429653696.4259287559-9400.42592875587
2077764891273.111410287-13625.111410287
208181528118010.04536212863517.9546378718
20913401999401.065221542734617.9347784573
210124064105964.95041902518099.0495809752
2119263080399.776849804112230.2231501959
212121848100762.21772558821085.7822744118
2135291556226.9738969664-3311.97389696644
2148187275397.10147853886474.89852146121
2155898167858.3605416373-8877.36054163734
2165351562574.9728407235-9059.97284072353
2176081293334.1744256163-32522.1744256163
2185637540408.780781583115966.2192184169
2196549057121.05605640328368.94394359675
2208094952473.848439128328475.1515608717
2217630284385.0271714222-8083.02717142222
222104011110664.097291983-6653.09729198303
22398104149883.116704324-51779.1167043237
2246798967350.7586002339638.241399766125
2253098938518.593324604-7529.59332460396
226135458133498.998385641959.00161435961
2277350465139.85736216998364.14263783011
2286312381273.3652338292-18150.3652338292
2296125478908.7883714141-17654.7883714141
23074914115728.96797325-40814.9679732502
2313177450826.7247951683-19052.7247951683
2328143796093.7856585-14656.7856585
23387186114137.577841397-26951.577841397
2345009057095.4656778539-7005.46567785387
2356574582979.9786128063-17234.9786128063
2365665371088.05472665-14435.05472665
237158399100976.91927034557422.0807296545
2384645564602.6464493114-18147.6464493114
2397362484546.8305949765-10922.8305949765
2403839560687.6044076462-22292.6044076462
2419189986592.67903123975306.32096876028
242139526148063.794696388-8537.79469638769
2435216477403.6530663477-25239.6530663477
2445156756529.8279275898-4962.82792758977
2457055166488.0241101234062.97588987704
2468485686260.6418295435-1404.64182954346
247102538128724.464242112-26186.464242112
2488667864827.108150421121850.8918495789
2498570979772.52684427945936.4731557206
2503466248975.2018283959-14313.2018283959
251150580124389.1120503126190.8879496898
2529961190438.09227788579172.90772211433
2531934923492.4128549455-4143.41285494554
2549937396890.9468692012482.05313079904
2558623086090.8700720488139.129927951182
2563083737996.6138271277-7159.61382712767
2573170643347.7439195549-11641.7439195549
2588980679374.003638363510431.9963616365
2596208850952.954143749411135.0458562506
2604015148302.4084372912-8151.40843729116
2612763446526.3295616955-18892.3295616955
2627699082183.4917192355-5193.49171923546
2633746035370.26755816732089.73244183271
2645415765389.9233606787-11232.9233606787
2654986260390.0065667844-10528.0065667844
2668433779087.87973875675249.12026124335
2676417583867.7227512946-19692.7227512946
2685938259633.8264019583-251.826401958284
26911930868213.994773958751094.0052260413
2707670271129.25675346145572.74324653855
271103425113548.125720593-10123.1257205927
2727034465692.68597807354651.31402192652
2734341054443.0630438142-11033.0630438142
27410483899791.72878632275046.2712136773
2756221563448.5619855538-1233.56198555377
2766930472046.1840936784-2742.18409367844
2775311744831.45700976528285.5429902348
2781976426526.9555718507-6762.95557185075
2798668085904.5882592582775.411740741789
2808410564698.195540593919406.8044594061
2817794580845.8844461828-2900.88444618275
2828911358795.131425780730317.8685742193
2839100578813.149756271212191.8502437288
2844024838504.52434319581743.4756568042
2856418756555.85137173827631.14862826184
2865085768774.0468232953-17917.0468232953
2875661359936.3320446188-3323.33204461878
2886279273637.5951889849-10845.5951889849
2897253574410.4168826621-1875.41688266206


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.9996632951753340.0006734096493321170.000336704824666058
180.9990906846609640.001818630678071410.000909315339035703
190.9991685890210670.00166282195786630.000831410978933148
200.9985971231940950.002805753611810860.00140287680590543
210.9979875002294550.004024999541090140.00201249977054507
220.9959980568612450.008003886277510450.00400194313875523
230.9999763827439184.72345121640565e-052.36172560820282e-05
240.9999527071484479.45857031053074e-054.72928515526537e-05
250.9999132725864460.0001734548271072758.67274135536374e-05
260.9999985144350342.97112993153623e-061.48556496576812e-06
270.999998581513972.83697206076706e-061.41848603038353e-06
280.9999970281940185.94361196340831e-062.97180598170415e-06
290.9999971583704555.68325908973824e-062.84162954486912e-06
300.9999947930008481.04139983032754e-055.20699915163768e-06
310.9999904890151141.90219697712055e-059.51098488560277e-06
320.9999854615830092.90768339810251e-051.45384169905125e-05
330.9999733390279995.33219440018882e-052.66609720009441e-05
340.9999906712295431.86575409145969e-059.32877045729843e-06
350.9999864710656452.70578687090647e-051.35289343545323e-05
360.9999873885775712.52228448582477e-051.26114224291239e-05
370.9999786365221394.27269557212233e-052.13634778606117e-05
380.9999635892028517.2821594298403e-053.64107971492015e-05
390.9999895969814382.08060371241459e-051.0403018562073e-05
400.9999819336738643.6132652271969e-051.80663261359845e-05
410.9999691714552536.16570894934211e-053.08285447467105e-05
420.9999534043417549.31913164918993e-054.65956582459497e-05
430.9999295756734390.0001408486531224477.04243265612233e-05
440.9999059415021580.0001881169956836579.40584978418285e-05
450.999859379585560.0002812408288805830.000140620414440291
460.9997803400652080.0004393198695843660.000219659934792183
470.9996897216267190.0006205567465616470.000310278373280824
480.9995504531777760.0008990936444483620.000449546822224181
490.999447793912670.00110441217466080.000552206087330398
500.9997985988953680.0004028022092633670.000201401104631683
510.9997306362633590.000538727473281980.00026936373664099
520.9996368855346190.0007262289307613770.000363114465380688
530.9995951607118950.0008096785762099720.000404839288104986
540.999746514370480.0005069712590400930.000253485629520047
550.9998058204948190.0003883590103625840.000194179505181292
560.9997239831394820.0005520337210357310.000276016860517865
570.9997717952996040.0004564094007920370.000228204700396018
580.9999533116761969.33766476068911e-054.66883238034455e-05
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1870.9999999887193912.25612186873098e-081.12806093436549e-08
1880.9999999801232793.9753442158772e-081.9876721079386e-08
1890.9999999710148755.7970250224288e-082.8985125112144e-08
1900.9999999498072611.00385478250744e-075.01927391253718e-08
1910.9999999162029991.67594001447245e-078.37970007236224e-08
1920.9999998774955942.45008812903716e-071.22504406451858e-07
1930.9999998389942113.22011577578654e-071.61005788789327e-07
1940.9999997461124445.07775112817844e-072.53887556408922e-07
1950.9999997348993585.30201283565626e-072.65100641782813e-07
1960.9999995959773178.08045366097512e-074.04022683048756e-07
1970.9999993327132241.33457355159727e-066.67286775798634e-07
1980.9999990868846941.8262306116722e-069.13115305836101e-07
1990.9999985948913252.81021735014044e-061.40510867507022e-06
2000.9999976815838064.63683238814606e-062.31841619407303e-06
2010.9999964035332137.19293357382932e-063.59646678691466e-06
2020.9999950244409619.95111807745802e-064.97555903872901e-06
2030.9999941996366741.16007266522688e-055.80036332613441e-06
2040.9999911552290191.76895419618515e-058.84477098092574e-06
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2070.9999750921702664.98156594669944e-052.49078297334972e-05
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2090.9999994967555781.00648884352862e-065.0324442176431e-07
2100.999999512457339.75085340909271e-074.87542670454635e-07
2110.9999993326379971.33472400658538e-066.67362003292688e-07
2120.9999994667994231.06640115467105e-065.33200577335525e-07
2130.9999990659406731.86811865457687e-069.34059327288434e-07
2140.999998485976783.02804643937661e-061.5140232196883e-06
2150.9999978180194594.36396108273285e-062.18198054136642e-06
2160.9999968030378136.39392437438148e-063.19696218719074e-06
2170.9999971901923075.61961538617926e-062.80980769308963e-06
2180.9999954974579989.00508400477088e-064.50254200238544e-06
2190.9999928968976061.42062047875524e-057.1031023937762e-06
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2240.9999910394664831.79210670349037e-058.96053351745183e-06
2250.9999849973063063.0005387388218e-051.5002693694109e-05
2260.9999748794659935.02410680139837e-052.51205340069919e-05
2270.9999621624216297.56751567428671e-053.78375783714335e-05
2280.9999472569313090.0001054861373817495.27430686908743e-05
2290.9999359218385260.0001281563229486476.40781614743234e-05
2300.9999759052951544.81894096925696e-052.40947048462848e-05
2310.9999743195981985.13608036029962e-052.56804018014981e-05
2320.9999609430285557.81139428908107e-053.90569714454054e-05
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2360.9999193478385380.000161304322924688.06521614623401e-05
2370.9999970185176265.96296474883907e-062.98148237441954e-06
2380.999996092569197.81486162102863e-063.90743081051432e-06
2390.9999936267583161.2746483367555e-056.37324168377749e-06
2400.9999941105260751.17789478496401e-055.88947392482004e-06
2410.9999887828830672.24342338657865e-051.12171169328933e-05
2420.9999815423200523.69153598962071e-051.84576799481035e-05
2430.9999884473352432.31053295149312e-051.15526647574656e-05
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2480.9999297098726040.0001405802547912437.02901273956216e-05
2490.9998659748755610.0002680502488790080.000134025124439504
2500.9997898150055380.0004203699889249880.000210184994462494
2510.9997519484606930.0004961030786146460.000248051539307323
2520.9995502340356780.0008995319286440270.000449765964322013
2530.9991460345530340.001707930893932360.000853965446966178
2540.9984153506592780.003169298681444330.00158464934072217
2550.9971083580442420.005783283911515450.00289164195575773
2560.9949687503300850.01006249933983060.0050312496699153
2570.9931597737760270.01368045244794550.00684022622397274
2580.9893665442705330.02126691145893330.0106334557294667
2590.9831197870798660.03376042584026890.0168802129201344
2600.973164953412580.053670093174840.02683504658742
2610.9688977962999160.06220440740016770.0311022037000838
2620.9503956127297460.0992087745405080.049604387270254
2630.9218259474478150.1563481051043690.0781740525521845
2640.9033687461407840.1932625077184320.0966312538592158
2650.8669069585614680.2661860828770650.133093041438532
2660.8028771338203020.3942457323593960.197122866179698
2670.7964959294142250.4070081411715510.203504070585775
2680.7354246532818220.5291506934363570.264575346718178
2690.8937051512452350.212589697509530.106294848754765
2700.8373010660606790.3253978678786420.162698933939321
2710.767098489251680.465803021496640.23290151074832
2720.6087920993845130.7824158012309730.391207900615487


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2390.93359375NOK
5% type I error level2430.94921875NOK
10% type I error level2460.9609375NOK