Multiple Linear Regression - Estimated Regression Equation
Time[t] = -6086.53399318145 + 181.871820541377Logins[t] + 128.263125648187Views[t] + 34.3389714489747Blogs[t] + 609.821961439084Reviews[t] + 138.517564775115LFM[t] + 0.651202633934785`Compendia_time `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-6086.533993181455975.468793-1.01860.3099660.154983
Logins181.87182054137773.0667052.48910.0138490.006924
Views128.26312564818710.25945312.501900
Blogs34.3389714489747105.5763250.32530.7454230.372711
Reviews609.821961439084429.9148181.41850.1580350.079018
LFM138.517564775115117.675361.17710.2409310.120465
`Compendia_time `0.6512026339347850.0661159.849600


Multiple Linear Regression - Regression Statistics
Multiple R0.959154190224378
R-squared0.919976760624982
Adjusted R-squared0.916918547655236
F-TEST (value)300.821679106742
F-TEST (DF numerator)6
F-TEST (DF denominator)157
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation27975.8895544039
Sum Squared Residuals122876112228.553


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1252101207193.65442581444907.3455741863
2134577152486.359099463-17909.3590994625
3198520182371.63935373716148.3606462625
4189326247418.072386281-58092.072386281
5137449124140.75062805913308.2493719406
66529581085.7431748178-15790.7431748178
7439387447330.784013012-7943.78401301239
83318630127.44989681353058.55010318652
9178368195448.78367472-17080.7836747195
10186657166539.6218557320117.3781442699
11261949247937.89185471814011.108145282
12191051183752.6631331337298.33686686743
13138866148118.037708075-9252.03770807542
14296878246282.42861268750595.5713873128
15192648182331.37413620710316.6258637932
16333462377790.755802466-44328.7558024662
17243571227798.37306442515772.6269355754
18263451252942.48688093310508.5131190667
19155679157707.990420483-2028.99042048319
20227053214639.83293231912413.1670676808
21240028226433.56748211113594.4325178885
22388549280913.640958766107635.359041234
23156540150330.7479154416209.25208455868
24148421176425.912932146-28004.9129321459
25177732244840.960910953-67108.9609109532
26191441234551.976950364-43110.9769503644
27249893281022.67602798-31129.67602798
28236812211575.84484378625236.1551562143
29142329139506.7883964522822.21160354752
30259667281949.735328586-22282.7353285863
31231625256486.954721077-24861.954721077
32176062184485.965056628-8423.96505662756
33286683273997.97041468112685.0295853189
348748592112.8586330278-4627.85863302784
35322865307885.67315245114979.3268475485
36247082229799.37186085517282.6281391452
37344092307423.83270502236668.1672949778
38191653176833.37574384814819.6242561525
3911467390720.192376874423952.8076231256
40284224290362.74631476-6138.74631475961
41284195297501.517926534-13306.5179265336
42155363165931.854157395-10568.8541573948
43177306195212.171944297-17906.1719442971
44144571125108.65658663219462.3434133677
45140319234687.120125598-94368.1201255984
46405267350762.43064130654504.5693586943
4778800106660.935285008-27860.935285008
48201970206960.746849572-4990.74684957243
49302674340756.865531403-38082.8655314027
50164733217045.402343328-52312.4023433279
51194221209443.662516168-15222.6625161685
522418839723.3220999748-15535.3220999748
53342263307040.35192077635222.6480792242
546502966210.916089392-1181.91608939201
55101097108872.327822567-7775.32782256706
56246088237439.3676012578648.63239874333
57273108267038.5348623166069.46513768442
58282220314006.181587955-31786.1815879552
59273495292502.26738164-19007.2673816402
60214872177577.1352801137294.8647198897
61335121339208.453960126-4087.45396012602
62267171303882.836673893-36711.8366738932
63187938219210.626227437-31272.6262274368
64229512220367.1137504449144.88624955571
65209798203281.5696979186516.43030208208
66201345173144.54273458128200.4572654187
67163833175005.65169797-11172.6516979702
68204250238621.145561156-34371.1455611556
69197813200993.376942573-3180.3769425729
70132955155703.2553394-22748.2553394002
71216092218286.040392875-2194.04039287548
727356688690.9585144658-15124.9585144658
73213198206047.0978190487150.90218095174
74181713185739.082922245-4026.08292224546
75148698164176.973486233-15478.9734862334
76300103226403.75078056273699.2492194379
77251437239287.91061050812149.0893894915
78197295218230.062860246-20935.0628602461
79158163164034.015540189-5871.01554018937
80155529159109.959922621-3580.95992262098
81132672148758.58008178-16086.5800817803
82377205294893.61695891682311.3830410838
83145905164418.030397092-18513.0303970918
84223701195913.12046289627787.8795371036
8580953101144.304322541-20191.3043225405
86130805140756.212912846-9951.21291284564
87135082139499.506000544-4417.50600054389
88300170295958.3601876714211.63981232894
89271806253919.13599749817886.8640025024
90150949226735.041475522-75786.0414755221
91225805198690.70987180427114.2901281956
92197389188567.740415228821.25958477983
93156583152489.6492702064093.35072979352
94222599218986.9889554283612.01104457217
95261601235347.36688028726253.6331197128
96178489179227.441640532-738.441640531894
97200657191762.093037918894.90696209025
98259084263254.634841695-4170.63484169536
99313075329405.092522578-16330.0925225783
100346933338852.2840472928080.71595270827
101246440230985.13624518715454.863754813
102252444263461.370981447-11017.3709814467
103159965173321.713783275-13356.7137832745
1044328757589.2361290362-14302.2361290362
105172239169963.2189262322275.78107376829
106181897214646.193202287-32749.193202287
107227681250823.341847376-23142.3418473756
108260464249189.77117854611274.2288214543
109106288182020.32064751-75732.3206475098
110109632150016.031116655-40384.031116655
111268905225315.28852492943589.7114750705
112266805207946.64128004958858.3587199507
1132362320748.66783753062874.33216246935
114152474175031.53391846-22557.5339184596
1156185750766.243328349611090.7566716504
116144889139180.8579977675708.14200223306
117346600332349.4070619414250.5929380605
1182105419999.45120782781054.54879217216
119224051206328.39372369217722.606276308
1203141438331.5616367243-6917.56163672435
121261043289821.033056084-28778.0330560841
122197819178144.73174249119674.2682575094
123154984119892.7580982735091.2419017303
124112933138519.072487272-25586.0724872725
1253821452940.3651094086-14726.3651094086
126158671155877.4152334632793.58476653737
127302148271297.06071419730850.9392858032
128177918185018.743998623-7100.74399862278
129350552349974.250108778577.749891222178
130275578295496.753785605-19918.7537856054
131366217362761.799191253455.20080874977
132172464167721.9504407394742.04955926067
13394381122283.504811763-27902.5048117626
134243875241900.3185704881974.68142951153
135382487371138.05536037411348.9446396258
136114525106248.3745088298276.62549117145
137335681336199.017973478-518.017973478199
138147989170693.873050277-22704.8730502766
139216638198269.06790174518368.9320982549
140192862199897.712525766-7035.71252576598
141184818157847.68544332526970.3145566751
142336707318645.85276601618061.1472339835
143215836216296.730702479-460.730702479094
144173260129325.07764963843934.9223503624
145271773248135.6889104523637.3110895499
146130908177058.198872152-46150.1988721516
147204009246855.466028103-42846.4660281028
148245514242794.0989020342719.90109796644
1491-6086.533993181476087.53399318147
1501468811950.92032580742737.0796741926
15198-5904.66217264016002.6621726401
152455-5722.79035209876177.7903520987
1530-6086.533993181476086.53399318147
1540-6086.533993181476086.53399318147
155195765182679.31395105913085.6860489409
156326038287596.73994975538441.2600502455
1570-6086.533993181476086.53399318147
158203-5359.046711015955562.04671101595
15971997319.0243886872-120.024388687206
1604666050039.6752204893-3379.67522048929
161175479831.597202069637715.40279793037
16210746578395.058273025329069.9417269747
163969-5722.79035209876691.7903520987
164173102138687.46768408634414.5323159143


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.08509053009832830.1701810601966570.914909469901672
110.03839484693797810.07678969387595630.961605153062022
120.1104621902160890.2209243804321770.889537809783911
130.07701002258719320.1540200451743860.922989977412807
140.1301450843592940.2602901687185880.869854915640706
150.1323695787824650.2647391575649310.867630421217535
160.0885595446191850.177119089238370.911440455380815
170.05357966738159690.1071593347631940.946420332618403
180.1075940483536650.2151880967073310.892405951646335
190.07494465519119860.1498893103823970.925055344808801
200.04910402247005590.09820804494011190.950895977529944
210.03260260059709790.06520520119419590.967397399402902
220.9244542890308540.1510914219382910.0755457109691456
230.8970040097118570.2059919805762870.102995990288143
240.9032001436930450.193599712613910.096799856306955
250.9196076007381690.1607847985236630.0803923992618313
260.9135019997364830.1729960005270340.0864980002635168
270.913871177556650.1722576448867010.0861288224433504
280.9035667042700040.1928665914599920.096433295729996
290.8861225593368270.2277548813263470.113877440663173
300.9643566795453750.07128664090925060.0356433204546253
310.965563426664160.06887314667168060.0344365733358403
320.9592218654419570.08155626911608560.0407781345580428
330.9455380513796010.1089238972407980.0544619486203988
340.9296254555215070.1407490889569860.0703745444784928
350.9128437968465980.1743124063068050.0871562031534023
360.8927235163605480.2145529672789030.107276483639452
370.8983577802400630.2032844395198750.101642219759937
380.8768613175121880.2462773649756250.123138682487812
390.8733325247991980.2533349504016040.126667475200802
400.8501779021195440.2996441957609110.149822097880456
410.8204915133470790.3590169733058420.179508486652921
420.790347416437830.4193051671243410.20965258356217
430.7789891717593520.4420216564812960.221010828240648
440.7648980352838880.4702039294322240.235101964716112
450.9750338571282570.04993228574348610.024966142871743
460.9932789027614180.01344219447716390.00672109723858195
470.9936757010835250.01264859783294950.00632429891647474
480.9910796394332170.01784072113356650.00892036056678324
490.9927832587374730.01443348252505350.00721674126252673
500.9963953574976080.007209285004784510.00360464250239225
510.99544231801470.009115363970602270.00455768198530113
520.9947748417400490.01045031651990230.00522515825995113
530.9953693956559580.009261208688084970.00463060434404248
540.9934868669410.01302626611800120.00651313305900058
550.9912811444755880.0174377110488240.00871885552441201
560.9883759011832340.02324819763353160.0116240988167658
570.9846878499947070.03062430001058660.0153121500052933
580.9866344606030950.02673107879381070.0133655393969053
590.983475402317780.0330491953644410.0165245976822205
600.986925066949390.02614986610122060.0130749330506103
610.9824162205017060.03516755899658820.0175837794982941
620.9843762899051110.03124742018977770.0156237100948889
630.9864214312874980.02715713742500390.013578568712502
640.9820142224719780.0359715550560440.017985777528022
650.9768392301753130.04632153964937440.0231607698246872
660.979229282209640.04154143558072150.0207707177903607
670.9740512344947150.051897531010570.025948765505285
680.9770294742110330.04594105157793380.0229705257889669
690.9703672259640330.0592655480719340.029632774035967
700.9654288618016050.06914227639678950.0345711381983947
710.9556957625506790.08860847489864250.0443042374493212
720.9488163349774310.1023673300451380.0511836650225692
730.9366770700383270.1266458599233460.063322929961673
740.9250786138398410.1498427723203170.0749213861601587
750.9109176414553680.1781647170892640.089082358544632
760.981201825733070.03759634853385830.0187981742669292
770.9766318532721160.04673629345576810.023368146727884
780.9726604314105110.05467913717897760.0273395685894888
790.9645936373640450.07081272527191080.0354063626359554
800.954951266074760.09009746785048070.0450487339252404
810.9479970833790370.1040058332419250.0520029166209627
820.994561297697730.01087740460454070.00543870230227035
830.9935970987237970.01280580255240680.00640290127620341
840.9935750051959850.01284998960802990.00642499480401495
850.99245706131160.01508587737680010.00754293868840005
860.9908232648553430.01835347028931370.00917673514465686
870.987545142154820.02490971569036080.0124548578451804
880.9833089440445350.03338211191092950.0166910559554647
890.9794623187584130.04107536248317390.0205376812415869
900.9980526210872510.003894757825497760.00194737891274888
910.9978950301754720.004209939649056840.00210496982452842
920.997103991707130.005792016585739890.00289600829286994
930.9958705484560680.008258903087864510.00412945154393226
940.9942565498657640.0114869002684720.00574345013423598
950.9941407933689490.01171841326210260.00585920663105132
960.9918320929926520.0163358140146960.00816790700734798
970.9895508840954330.02089823180913420.0104491159045671
980.9857274371114640.02854512577707270.0142725628885364
990.982477217450180.03504556509963830.0175227825498191
1000.9771135451943470.04577290961130570.0228864548056529
1010.972140747042850.05571850591429860.0278592529571493
1020.9643427994837840.07131440103243140.0356572005162157
1030.9600787952171740.07984240956565260.0399212047828263
1040.951933465391260.09613306921748060.0480665346087403
1050.9398936066752830.1202127866494330.0601063933247166
1060.9535451710475280.09290965790494360.0464548289524718
1070.9565821603934470.0868356792131060.043417839606553
1080.9451056386680160.1097887226639670.0548943613319836
1090.9925076679549420.01498466409011640.00749233204505822
1100.996360759209820.007278481580361530.00363924079018077
1110.9987060562523990.002587887495202770.00129394374760138
1120.9997627435087750.0004745129824497920.000237256491224896
1130.9996139407921160.0007721184157670790.000386059207883539
1140.9996650696573960.0006698606852077580.000334930342603879
1150.9994838488481060.001032302303788260.000516151151894128
1160.9991699571350330.001660085729934330.000830042864967167
1170.9987704945950350.002459010809929780.00122950540496489
1180.9980702945702660.003859410859468970.00192970542973448
1190.997293840082120.005412319835761190.00270615991788059
1200.9964281256665560.00714374866688840.0035718743334442
1210.9971891019898170.005621796020365650.00281089801018283
1220.996788007391680.006423985216638560.00321199260831928
1230.9978824262082670.004235147583467060.00211757379173353
1240.9983882289447630.003223542110474980.00161177105523749
1250.998291018679110.003417962641780950.00170898132089047
1260.9973131525908260.005373694818347870.00268684740917394
1270.9989371133366490.002125773326702660.00106288666335133
1280.9982696373743990.003460725251202860.00173036262560143
1290.997100968795090.00579806240982090.00289903120491045
1300.9967060146879170.006587970624166640.00329398531208332
1310.995075351187430.009849297625141360.00492464881257068
1320.9957477869833990.008504426033202880.00425221301660144
1330.9960013347676970.007997330464605810.0039986652323029
1340.9944619482183240.01107610356335170.00553805178167583
1350.9921317370643060.01573652587138880.00786826293569442
1360.9938903980365580.01221920392688420.00610960196344212
1370.9898112717904880.02037745641902480.0101887282095124
1380.9910223687643820.01795526247123610.00897763123561804
1390.9999035408965980.0001929182068041249.64591034020618e-05
1400.9997942898468810.0004114203062378570.000205710153118928
1410.999999294539061.41092187826041e-067.05460939130206e-07
1420.9999975878619474.8242761067053e-062.41213805335265e-06
1430.9999930767890621.38464218756197e-056.92321093780983e-06
1440.9999984359902073.128019586492e-061.564009793246e-06
1450.9999998717290942.56541811261786e-071.28270905630893e-07
1460.9999999021978271.95604345934982e-079.78021729674911e-08
1470.9999999100390751.79921850174248e-078.99609250871241e-08
1480.9999999421218861.15756228660053e-075.78781143300265e-08
1490.9999994901219761.01975604719718e-065.09878023598588e-07
1500.999997830480534.33903893990575e-062.16951946995287e-06
1510.9999808988328763.82023342478412e-051.91011671239206e-05
1520.9998431335480350.000313732903930120.00015686645196506
1530.9988232801343620.002353439731276540.00117671986563827
1540.9920306546996810.01593869060063740.00796934530031871


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level460.317241379310345NOK
5% type I error level900.620689655172414NOK
10% type I error level1090.751724137931034NOK