Multiple Linear Regression - Estimated Regression Equation
blogged_computations[t] = -12.4839698099011 + 0.00204638257620711logins[t] + 0.0707392341392778compendium_views_info[t] -0.125865990850979compendium_views_pr[t] -1.41697158758253shared_compendiums[t] + 0.115792503395959compendiums_reviewed[t] + 0.433976188717082feedback_messages_p1[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-12.48396980990112.864708-4.35791.8e-059e-06
logins0.002046382576207110.0474090.04320.9656010.4828
compendium_views_info0.07073923413927780.00655310.794800
compendium_views_pr-0.1258659908509790.025419-4.95161e-061e-06
shared_compendiums-1.416971587582530.451903-3.13560.0018960.000948
compendiums_reviewed0.1157925033959590.603540.19190.8479930.423997
feedback_messages_p10.4339761887170820.1589252.73070.0067180.003359


Multiple Linear Regression - Regression Statistics
Multiple R0.857492147150942
R-squared0.735292782425533
Adjusted R-squared0.729660713966502
F-TEST (value)130.554659939629
F-TEST (DF numerator)6
F-TEST (DF denominator)282
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation19.1856571486169
Sum Squared Residuals103801.222143246


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
17954.578341116186824.4216588838132
25846.595258971846811.4047410281532
36071.6334468212715-11.6334468212715
410891.350818613585716.6491813864143
54932.303683396603116.6963166033969
6035.6171439609072-35.6171439609072
7121134.825950390789-13.825950390789
8120.8860077053805-19.8860077053805
92023.1816708040929-3.18167080409295
104365.0272192447441-22.0272192447441
116959.81154611736649.18845388263356
127889.8648229141927-11.8648229141927
138681.63853854325144.36146145674858
144454.7402643024524-10.7402643024524
1510499.87030376781124.12969623218886
166365.8784204971549-2.87842049715488
17158159.811124136334-1.81112413633384
1810273.651788796013928.3482112039861
197789.188928667028-12.188928667028
208251.659957497324330.3400425026757
2111576.784320927626238.2156790723738
2210184.893797371244716.1062026287553
238093.8931480419958-13.8931480419958
245043.12311595769816.87688404230194
258372.605063906931610.3949360930684
2612398.966362260736224.0336377392638
277391.2519954435598-18.2519954435598
288188.3633765679183-7.3633765679183
2910575.477787909062529.5222120909375
304759.3590332200471-12.3590332200471
3110580.202309747413224.7976902525868
329486.60397538595587.39602461404421
334482.3279106969466-38.3279106969466
34114101.00813985627812.9918601437217
353848.9462462412272-10.9462462412272
36107106.5230138583940.47698614160638
373023.33310365538366.66689634461639
387193.0065828892537-22.0065828892537
3984109.135152826962-25.1351528269617
400-7.623300907207147.62330090720714
415963.3674649899013-4.36746498990126
423322.108938977312610.8910610226874
434232.41986396662479.58013603337527
4496103.417494766273-7.4174947662732
45106112.730701157586-6.73070115758583
465668.5361671909949-12.5361671909949
475775.6739803367268-18.6739803367268
485954.20693208137344.79306791862663
493947.9017068411211-8.90170684112114
503471.7171923415978-37.7171923415978
517668.77403960586927.22596039413078
522039.534273433686-19.534273433686
539187.92404921082933.07595078917073
54115115.529768075874-0.529768075874137
558585.6716736533677-0.67167365336774
567670.04889392755335.95110607244669
5786.139860875459641.86013912454036
587988.8270389163672-9.82703891636721
592127.0219493587988-6.02194935879878
603030.8889337127238-0.888933712723795
617683.5735570573734-7.57355705737338
6210190.00240874360710.997591256393
639489.94131304403324.05868695596678
642732.5813187732752-5.58131877327516
659267.970916714552824.0290832854472
6612396.300027302017426.6999726979826
677559.557593382265315.4424066177347
68128113.119434799514.8805652004997
6910564.655698686144540.3443013138555
705594.4719390599394-39.4719390599394
715678.9206234113342-22.9206234113342
724165.6166055973643-24.6166055973643
737253.526323462764118.4736765372359
746756.872480089403810.1275199105962
757580.3374009534081-5.33740095340806
7611474.863655191559339.1363448084407
7711846.477014395005471.5229856049946
787782.321571734461-5.32157173446099
792242.2586485926864-20.2586485926864
806684.1453527395464-18.1453527395464
816967.24579258921411.75420741078594
8210575.541697488930129.4583025110699
8311689.518931480874326.4810685191257
848882.44667298090215.55332701909786
857364.62325282797748.37674717202261
869964.704792624168934.2952073758311
876274.448147411369-12.448147411369
885357.918538712-4.91853871199998
89118113.2922586014894.707741398511
903066.1829966659012-36.1829966659012
9110053.628413197890846.3715868021092
924927.65606266823421.343937331766
932459.3502994272364-35.3502994272364
946745.163362548474821.8366374515252
954636.77807905948069.22192094051942
965787.0193117156023-30.0193117156023
9775102.152999920533-27.1529999205329
98135107.84969412414527.150305875855
996882.1235988514161-14.1235988514161
10012470.734139585918253.2658604140818
1013346.074494294944-13.074494294944
1029897.81993545064910.180064549350917
1035875.6961607167304-17.6961607167304
1046862.40217974035615.59782025964385
1058156.386354790960624.6136452090394
10613180.241557452339350.7584425476607
107110117.430879401352-7.43087940135228
1083739.7603783214044-2.76037832140442
10913090.344398776197739.6556012238023
1109391.37932526466371.62067473533627
11111886.8272424531331.17275754687
1123969.3077741979579-30.3077741979579
1131324.615118658485-11.615118658485
1147450.650951270178523.3490487298215
1158175.02785961120965.97214038879039
11610995.329278609499213.6707213905008
11715197.329420808674353.6705791913257
1185157.2994074854162-6.29940748541622
1192845.0575092830623-17.0575092830623
1204026.916643149237813.0833568507622
1215649.6452132168896.35478678311097
1222731.4724121125988-4.47241211259885
1233736.87294048067960.127059519320393
1248363.138158202467819.8618417975322
1255463.2932869585206-9.29328695852059
1262713.048293151322913.9517068486771
1272824.444046919263.55595308074003
1285941.127100623451217.8728993765488
12913394.265386527458438.7346134725416
13012-2.5866653409531414.5866653409531
13108.08098396888555-8.08098396888555
13210679.886044888493326.1139551115067
133237.4955421639429615.504457836057
1344462.6810652240904-18.6810652240904
1357167.65404778219923.34595221780078
136116102.93968495993713.0603150400626
1374-2.375031486049226.37503148604922
1386264.8121735529331-2.81217355293308
1391213.4632008473445-1.46320084734449
1401810.70945123327557.29054876672446
1411426.6574222378418-12.6574222378418
1426048.594328990801711.4056710091983
143734.5424184238595-27.5424184238595
1449892.57861240038115.42138759961893
1456478.2946157371065-14.2946157371065
1462933.6522610104324-4.65226101043236
1473258.5385926789956-26.5385926789956
1482549.5066870730565-24.5066870730565
1491613.20830141840852.79169858159146
1504869.6762888423616-21.6762888423616
151100108.619182643985-8.61918264398527
1524685.1801214243346-39.1801214243346
1534540.59611293473214.40388706526791
154129130.192326928476-1.19232692847632
15513091.631728276836638.3682717231634
156136122.9258431345913.0741568654095
1575966.0691633690883-7.06916336908832
1582520.78523810191124.21476189808875
1593255.3057688789322-23.3057688789322
1606372.7709731046319-9.77097310463188
16195124.321750756281-29.3217507562809
1621440.0627460810544-26.0627460810544
1633638.4802571831139-2.48025718311393
164113134.111775998997-21.1117759989974
1654766.6601938086381-19.6601938086381
1669272.838235465110719.1617645348893
1677063.30637294803036.69362705196973
1681960.0571226069434-41.0571226069434
1695033.117117160416316.8828828395837
1704159.3293755941248-18.3293755941248
17191115.115934453768-24.1159344537681
17211173.770600243582237.2293997564178
1734166.1020489918536-25.1020489918536
17412089.67740836759530.322591632405
17513572.790330850904662.2096691490954
1762749.9967825748416-22.9967825748416
1778794.8565291873278-7.85652918732781
1782535.8695431045014-10.8695431045014
17913190.024766933030840.9752330669692
1804525.058722070953819.9412779290462
1812917.970134454761511.0298655452385
1825843.50970641694114.490293583059
1834-6.4506710823004510.4506710823004
1844769.8918501497318-22.8918501497318
185109101.2239821382537.77601786174699
1867-7.2390345707135314.2390345707135
1871212.0859628954751-0.0859628954751252
1880-6.118631455698586.11863145569858
1893746.8486112660491-9.84861126604912
1903747.5583818536756-10.5583818536756
1914650.8999183834152-4.89991838341516
1921546.8890056920823-31.8890056920823
1934216.639271832828925.3607281671711
19475.85875339525581.1412466047442
1955457.7776209623292-3.77762096232918
1965430.049848670572423.9501513294276
1971444.2032551336135-30.2032551336135
1981621.2525539709382-5.25255397093819
1993350.8527922049886-17.8527922049886
2003227.18487398294654.8151260170535
2012124.4434301010007-3.44343010100072
2021526.5640750629364-11.5640750629364
2033838.5017807310503-0.501780731050254
2042233.8903178511726-11.8903178511726
2052841.8543039918151-13.8543039918151
2061031.2012719546362-21.2012719546362
2073130.37295142840020.627048571599811
2083250.347202637394-18.347202637394
2093242.2179494451849-10.2179494451849
2104354.1177690904243-11.1177690904243
2112715.699748992338911.3002510076611
2123735.65541853111661.3445814688834
2132025.146363313311-5.14636331331101
2143231.41973613110540.580263868894636
215042.2069178582716-42.2069178582716
216533.9284115221579-28.9284115221579
2172631.4700684154439-5.47006841544393
218107.313957640514022.68604235948598
2192723.13202039368333.86797960631672
2201126.4601310647158-15.4601310647158
2212943.1611576666327-14.1611576666328
2222538.5949359105765-13.5949359105765
2235543.779334807359111.2206651926409
2242328.2559653842646-5.25596538426457
225521.1969720318272-16.1969720318272
2264331.898547629700311.1014523702997
227238.2320485106391814.7679514893608
2283433.75839601553450.241603984465532
2293620.375792225202815.6242077747972
2303550.0339511102529-15.0339511102529
231022.7411286576581-22.7411286576581
2323726.664819603252610.3351803967474
2332843.7843137554203-15.7843137554203
2341622.4731048191579-6.47310481915793
2352638.0836878626993-12.0836878626993
2363826.178180992127511.8218190078725
2372346.977498867287-23.977498867287
2382228.1238651646233-6.12386516462329
2393031.5638537875263-1.56385378752626
2401626.8449795103839-10.8449795103839
2411831.0748202511126-13.0748202511126
2422843.5232722589338-15.5232722589338
2433223.29615036883088.70384963116924
2442121.8411405876348-0.841140587634836
2452325.0612226562738-2.06122265627383
2462939.5447248768635-10.5447248768635
2475037.84202035690912.157979643091
2481226.2372023060994-14.2372023060994
2492122.2053115105535-1.20531151055348
2501812.96226333845835.03773666154173
2512748.1254716149915-21.1254716149915
2524135.56133931326545.43866068673459
25313-8.6261758961658121.6261758961658
2541236.0623361485777-24.0623361485777
2552143.7959418202269-22.7959418202269
25685.860648071668522.13935192833148
2572611.946378430445914.0536215695541
2582729.4567896062754-2.45678960627538
2591318.429992609493-5.42999260949303
260168.969957629229377.03004237077063
261221.3354527949349-19.3354527949349
2624220.942144193177221.0578558068228
26354.639348111087340.360651888912655
2643722.973765771636314.0262342283637
2651723.2628653432836-6.26286534328356
2663828.46069744327679.5393025567233
2673733.2831622224223.71683777757804
2682916.68920931240312.310790687597
2693226.76775863190285.23224136809718
2703534.87682368731140.123176312688561
2711739.6116712320606-22.6116712320606
2722027.8065392982011-7.80653929820109
27371.698931473651425.30106852634858
2744631.214757890589714.7852421094103
2752415.97323689007958.02676310992046
2764028.239429496449311.7605705035507
277312.8449705001089-9.84497050010895
27810-7.2590015557633717.2590015557634
2793728.80627567161318.19372432838687
2801730.9668293767392-13.9668293767392
2812835.4572153692729-7.45721536927292
2821925.3237007892029-6.32370078920286
2832928.82472911142280.175270888577219
28481.336473537913186.66352646208682
2851028.2012721402467-18.2012721402467
2861528.0796936350788-13.0796936350788
2871518.5183413428722-3.51834134287216
2882822.02338208359835.97661791640173
2891734.9069401127737-17.9069401127737


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.2713912737112910.5427825474225830.728608726288709
110.3393046759807030.6786093519614050.660695324019297
120.6861818499371460.6276363001257080.313818150062854
130.576671080459580.8466578390808390.42332891954042
140.5736313304160890.8527373391678220.426368669583911
150.4736783775851490.9473567551702990.526321622414851
160.3912661822560060.7825323645120120.608733817743994
170.3408910660598940.6817821321197890.659108933940106
180.6204783696896380.7590432606207240.379521630310362
190.5704394149250710.8591211701498580.429560585074929
200.7046471066273990.5907057867452010.295352893372601
210.8409281860420390.3181436279159220.159071813957961
220.7990271692390360.4019456615219270.200972830760964
230.7681148908141460.4637702183717090.231885109185854
240.7195118096822320.5609763806355350.280488190317768
250.6597570525890570.6804858948218850.340242947410943
260.6434721421204960.7130557157590070.356527857879504
270.630364680230380.739270639539240.36963531976962
280.5684566737908140.8630866524183730.431543326209186
290.6004535695686230.7990928608627540.399546430431377
300.5805442575651050.8389114848697890.419455742434895
310.5371838116447180.9256323767105630.462816188355282
320.4792224947360440.9584449894720890.520777505263955
330.7353484253085190.5293031493829630.264651574691481
340.6921419207107230.6157161585785540.307858079289277
350.6644937386288650.6710125227422710.335506261371135
360.6121600402263310.7756799195473370.387839959773669
370.5625972301066160.8748055397867670.437402769893384
380.6009126689900740.7981746620198530.399087331009926
390.6266992867957920.7466014264084160.373300713204208
400.5932219698355770.8135560603288470.406778030164423
410.5485346927740090.9029306144519820.451465307225991
420.5196027967086360.9607944065827280.480397203291364
430.4712885488790940.9425770977581880.528711451120906
440.422170978634750.8443419572694990.57782902136525
450.3794422964571040.7588845929142080.620557703542896
460.3518887731352020.7037775462704040.648111226864798
470.3614177117716520.7228354235433040.638582288228348
480.3210562427655980.6421124855311970.678943757234402
490.2937593765468780.5875187530937550.706240623453122
500.3158220331221680.6316440662443360.684177966877832
510.2923720680548130.5847441361096270.707627931945187
520.2923405960377950.584681192075590.707659403962205
530.2538392252396190.5076784504792380.746160774760381
540.2197464499563770.4394928999127530.780253550043623
550.1873300397099130.3746600794198260.812669960290087
560.1602886224420430.3205772448840860.839711377557957
570.134245357611110.2684907152222210.86575464238889
580.1138442033006410.2276884066012830.886155796699359
590.09586754708814090.1917350941762820.904132452911859
600.07811285594725150.1562257118945030.921887144052748
610.06585394211038040.1317078842207610.93414605788962
620.05628897020658070.1125779404131610.943711029793419
630.04715576065539010.09431152131078030.95284423934461
640.03856284540324460.07712569080648910.961437154596755
650.04701588582277460.09403177164554910.952984114177225
660.06282777930755250.1256555586151050.937172220692447
670.06264866258019630.1252973251603930.937351337419804
680.05993754279694830.1198750855938970.940062457203052
690.124465253007670.248930506015340.87553474699233
700.2302592734299560.4605185468599110.769740726570044
710.2472318360770580.4944636721541160.752768163922942
720.2771763144681690.5543526289363380.722823685531831
730.2700200393755580.5400400787511150.729979960624442
740.2437397051810140.4874794103620290.756260294818986
750.216267931535360.432535863070720.78373206846464
760.3220361376308680.6440722752617350.677963862369132
770.7791248009899910.4417503980200170.220875199010009
780.7519009344430760.4961981311138480.248099065556924
790.762114799872870.475770400254260.23788520012713
800.7589952809303220.4820094381393560.241004719069678
810.7281897444431550.543620511113690.271810255556845
820.7620451801086990.4759096397826020.237954819891301
830.7856487087525920.4287025824948160.214351291247408
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920.8970124517179850.2059750965640290.102987548282015
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1680.9995676060618990.0008647878762020610.00043239393810103
1690.9995251669168720.0009496661662563590.00047483308312818
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1770.9999999865177612.69644771200453e-081.34822385600227e-08
1780.9999999791373024.17253967697826e-082.08626983848913e-08
1790.9999999999948981.02044613946246e-115.10223069731229e-12
1800.9999999999950629.87664089610906e-124.93832044805453e-12
1810.9999999999909141.81728250230455e-119.08641251152274e-12
1820.9999999999920071.59864066416831e-117.99320332084155e-12
1830.9999999999847783.04437581204789e-111.52218790602394e-11
1840.9999999999774714.50580303466692e-112.25290151733346e-11
1850.9999999999996886.22965689520549e-133.11482844760275e-13
1860.9999999999993861.22784868861413e-126.13924344307065e-13
1870.9999999999989942.01144901216118e-121.00572450608059e-12
1880.9999999999983673.26548481672149e-121.63274240836075e-12
1890.9999999999969196.16132360598041e-123.0806618029902e-12
1900.9999999999957198.56141096753345e-124.28070548376673e-12
1910.9999999999950359.93002169046542e-124.96501084523271e-12
1920.9999999999978114.37706360727612e-122.18853180363806e-12
1930.9999999999981163.76900460596873e-121.88450230298437e-12
1940.9999999999975634.87359297074635e-122.43679648537317e-12
1950.9999999999984733.05408778280323e-121.52704389140161e-12
1960.9999999999996137.74607732562483e-133.87303866281241e-13
1970.9999999999997185.63925832532523e-132.81962916266262e-13
1980.9999999999994131.17485941772324e-125.87429708861621e-13
1990.9999999999989312.13762453757436e-121.06881226878718e-12
2000.9999999999985072.98636429271717e-121.49318214635859e-12
2010.9999999999969156.1697934553261e-123.08489672766305e-12
2020.9999999999944381.11239912316593e-115.56199561582964e-12
2030.999999999988822.23591925497356e-111.11795962748678e-11
2040.9999999999826373.47267071282968e-111.73633535641484e-11
2050.999999999972865.42796171812559e-112.71398085906279e-11
2060.9999999999661036.77939609410034e-113.38969804705017e-11
2070.9999999999390821.21836552861165e-106.09182764305825e-11
2080.9999999999113351.77329151687419e-108.86645758437093e-11
2090.9999999998268833.4623359387831e-101.73116796939155e-10
2100.9999999997999584.00083377726729e-102.00041688863364e-10
2110.9999999996281747.43651680103173e-103.71825840051586e-10
2120.9999999994531241.09375105799999e-095.46875528999997e-10
2130.9999999989255842.14883219873207e-091.07441609936604e-09
2140.9999999985833782.8332431155843e-091.41662155779215e-09
2150.9999999996721316.55738438756579e-103.2786921937829e-10
2160.9999999998085993.82802419574434e-101.91401209787217e-10
2170.999999999613077.73860653180762e-103.86930326590381e-10
2180.9999999995775938.44813354883825e-104.22406677441912e-10
2190.999999999191971.61605936502979e-098.08029682514894e-10
2200.9999999987893792.42124130189048e-091.21062065094524e-09
2210.999999997736374.5272591929126e-092.2636295964563e-09
2220.9999999969136466.17270727096654e-093.08635363548327e-09
2230.9999999961628977.67420660916337e-093.83710330458168e-09
2240.9999999924034661.51930672101923e-087.59653360509615e-09
2250.9999999913268721.73462568239281e-088.67312841196407e-09
2260.9999999851735482.96529039402242e-081.48264519701121e-08
2270.9999999731105615.37788777222534e-082.68894388611267e-08
2280.9999999573088678.53822661214824e-084.26911330607412e-08
2290.9999999369289571.26142085931909e-076.30710429659545e-08
2300.9999998854180062.29163988262951e-071.14581994131476e-07
2310.9999999636688217.26623571054395e-083.63311785527197e-08
2320.9999999601344677.97310653410242e-083.98655326705121e-08
2330.9999999227398251.54520350756101e-077.72601753780504e-08
2340.9999998805073512.38985298352307e-071.19492649176153e-07
2350.9999997813610974.37277806218864e-072.18638903109432e-07
2360.9999997941647034.11670594556913e-072.05835297278456e-07
2370.9999996596366086.80726783300562e-073.40363391650281e-07
2380.9999993274465381.34510692387702e-066.72553461938512e-07
2390.99999868064332.63871339934584e-061.31935669967292e-06
2400.999997776601074.44679785939561e-062.2233989296978e-06
2410.9999964614293297.07714134222491e-063.53857067111245e-06
2420.9999935432994191.29134011623012e-056.45670058115059e-06
2430.9999911344120261.77311759479444e-058.8655879739722e-06
2440.9999832939009293.34121981424593e-051.67060990712296e-05
2450.9999690280082876.19439834250626e-053.09719917125313e-05
2460.9999439487808960.0001121024382072275.60512191036137e-05
2470.9999709204245685.8159150863698e-052.9079575431849e-05
2480.9999596558879488.06882241044552e-054.03441120522276e-05
2490.9999250000099560.0001499999800885587.49999900442792e-05
2500.999869220519050.0002615589619005610.000130779480950281
2510.9998055798571430.0003888402857130960.000194420142856548
2520.9997439227197160.0005121545605683570.000256077280284179
2530.9996025122311340.0007949755377311360.000397487768865568
2540.9997699277367080.0004601445265831290.000230072263291565
2550.9996919623707380.0006160752585247950.000308037629262397
2560.9994439553432190.001112089313562330.000556044656781163
2570.9993457359143320.001308528171336520.000654264085668259
2580.998816317679170.002367364641660540.00118368232083027
2590.9983450304374850.003309939125029710.00165496956251485
2600.9971013904868450.005797219026310220.00289860951315511
2610.998300458032740.003399083934519050.00169954196725952
2620.9986717298790710.002656540241857710.00132827012092885
2630.9979029862390180.004194027521964270.00209701376098214
2640.9984404514961670.003119097007665120.00155954850383256
2650.9975113439483840.004977312103231290.00248865605161565
2660.9975563901791860.004887219641628730.00244360982081437
2670.9965348124339090.006930375132181460.00346518756609073
2680.9940809380723460.01183812385530890.00591906192765444
2690.9924133340058580.01517333198828420.0075866659941421
2700.987469724606780.025060550786440.01253027539322
2710.9991468215519230.001706356896154260.000853178448077131
2720.9979386188679170.004122762264166610.0020613811320833
2730.9977972548354720.004405490329055170.00220274516452758
2740.9945499049088380.01090019018232380.00545009509116192
2750.9950960602122490.009807879575502680.00490393978775134
2760.9885813491376810.02283730172463780.0114186508623189
2770.9955631174829240.008873765034152380.00443688251707619
2780.9939446232663930.01211075346721390.00605537673360696
2790.9819885497986010.03602290040279880.0180114502013994


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1630.603703703703704NOK
5% type I error level1800.666666666666667NOK
10% type I error level1860.688888888888889NOK