Multiple Linear Regression - Estimated Regression Equation
Time[t] = + 9287.51731199876 + 1386.77221854862Bloggings[t] -487.43943310613Reviews[t] + 692.875950836225Feedbackm[t] + 0.500011054415348Characters[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9287.517311998766896.2334361.34680.1802520.090126
Bloggings1386.77221854862207.8555726.671800
Reviews-487.43943310613716.830247-0.680.497640.24882
Feedbackm692.875950836225214.5625583.22920.0015490.000774
Characters0.5000110544153480.1838152.72020.0073580.003679


Multiple Linear Regression - Regression Statistics
Multiple R0.838510368086737
R-squared0.703099637388955
Adjusted R-squared0.694555742062018
F-TEST (value)82.2926323982779
F-TEST (DF numerator)4
F-TEST (DF denominator)139
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation32676.0504037608
Sum Squared Residuals148413673528.487


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
112747678695.373145578148780.6268544219
2130358103573.02552439926784.9744756006
372159999.03304243177-2784.03304243176
4112861114667.145298805-1806.14529880473
5210171199267.12397625410903.8760237464
6393802284776.996375535109025.003624465
7117604105904.72389429311699.2761057069
8126029146312.589861899-20283.5898618989
999729100805.358036947-1076.35803694697
10256310162232.22023825494077.7797617456
11113066126118.776082949-13052.7760829491
12156212162691.080554977-6479.08055497742
136995269927.232006846324.7679931537005
14152673141616.17914537711056.8208546232
15125841105209.14678924220631.8532107575
16125769137847.509484448-12078.5094844479
17123467208059.090354869-84592.0903548686
185623235130.427546273221101.5724537268
19108244145813.207541058-37569.2075410578
202276265245.6783396947-42483.6783396947
214855454233.9968977896-5679.99689778959
22178697192808.488770127-14111.4887701268
2314085798188.433945614142668.5660543859
2493773106040.974507965-12267.9745079648
25133398126671.1053298856726.89467011527
2611393394802.263188317719130.7368116823
27144781141783.6550075592997.34499244143
28140711146103.396605525-5392.39660552475
29283337166135.176809189117201.823190811
30158146111423.19275133146722.8072486692
31123344116106.7870863977237.21291360318
32157640125354.24643226132285.7535677393
339127999005.2053427375-7726.20534273754
34189374168797.88183641820576.1181635824
35167915130436.84968650737478.1503134931
3609287.51731199875-9287.51731199875
37175403128457.23739373846945.7626062622
3892342102170.262879938-9828.26287993834
39100023119493.943587185-19470.9435871852
40178277216753.824201106-38476.8242011055
41145062149063.360543713-4001.3605437132
42110980123516.81310654-12536.8131065404
4386039117668.035138521-31629.0351385205
44120821125504.133182189-4683.13318218863
4595535143918.763814449-48383.7638144488
46109894102714.2074143257179.79258567451
476155462163.1487345142-609.14873451415
48156520134273.14198590822246.858014092
49159121149105.74989425610015.250105744
50129362130506.799681239-1144.79968123943
514818853400.5255108255-5212.52551082547
5295461119079.049823121-23618.0498231213
53229864158586.8507650471277.1492349599
54180317117332.54851038362984.4514896173
55150640146873.3647398473766.63526015297
5610441675274.53409860929141.465901391
57165098119483.87822066745614.121779333
586320592710.7039180856-29505.7039180856
59100056128902.156095155-28846.1560951554
60137214112204.47193797725009.5280620228
6199630128348.77765146-28718.7776514601
628455799223.0757691934-14666.0757691934
639119997923.7498967812-6724.7498967812
648341992088.2544526632-8669.2544526632
6510172383392.716080153418330.2839198466
6694982126604.455499-31622.4554990004
67129700162718.014600913-33018.0146009127
68110708149058.308973992-38350.3089739918
6981518108193.733818163-26675.7338181635
703197037164.4861978392-5194.48619783917
71192268113886.32474984978381.6752501513
728761172840.617810881714770.3821891183
7377890136811.452722501-58921.4527225015
748326183421.8406498836-160.840649883582
75116290179664.644473903-63374.6444739031
765654450874.54648888635669.45351111367
77116173140925.55153575-24752.5515357499
78111488139404.717353209-27916.7173532091
796013863688.1722750077-3550.17227500774
807342299043.5809446578-25621.5809446578
8167751122398.599096599-54647.5990965991
82213351119799.44069472993551.5593052707
835118548012.7859769233172.21402307702
8497181102261.792680349-5080.79268034897
854510065742.3984606072-20642.3984606073
8611580196127.186372720119673.8136272799
87185664162037.00251871223626.9974812878
8871960108080.13293271-36120.1329327098
8976441100904.626725153-24463.6267251532
9010361397775.2615187635837.73848123701
9198707114965.488321261-16258.4883212614
92126527148229.167658277-21702.1676582766
93136781114019.89046525822761.1095347416
9410586388391.426909684517471.5730903155
953877560562.6324627367-21787.6324627367
96179984141958.31627317338025.6837268265
97164808195881.53700816-31073.5370081604
981934928775.6597769725-9426.65977697247
99146824101371.52906133445452.4709386658
100108660103481.6435150235178.35648497733
1014380322365.966832823821437.0331671762
1024706297758.5085958477-50696.5085958477
103110845116120.803651139-5275.80365113886
1049251776884.702984664615632.2970153354
1055866059609.1970055324-949.197005532366
1062767618961.98656350828714.01343649181
10798550145826.405577987-47276.405577987
1084328427560.983844915715723.0161550843
10909287.51731199875-9287.51731199875
11066016137051.527029497-71035.527029497
1115735988353.5460831303-30994.5460831303
11296933104049.110806174-7116.11080617419
11370369123349.1516804-52980.1516804
1146549480085.840842901-14591.840842901
11536169287.51731199875-5671.51731199875
11609287.51731199875-9287.51731199875
117143931106525.78939429337405.2106057068
118109894145772.095547483-35878.0955474833
11912297378614.591934529444358.4080654706
12084336102822.078199355-18486.0781993546
1214341021976.642003570721433.3579964293
122136250152709.703229463-16459.7032294627
1237901581052.1928990314-2037.19289903145
12492937115789.037372958-22852.0373729578
1255758646115.452554913611470.5474450864
1261976427827.9280196147-8063.92801961468
127105757109423.352921812-3666.35292181224
1289721389800.92618412257412.07381587748
129113402130673.81787361-17271.8178736099
1301179610392.28661517131403.71338482867
13176279287.51731199875-1660.51731199875
132121085113816.7503723697268.24962763141
13368368800.07787889263-1964.07787889262
134139563112755.11214465526807.8878553454
135511816221.3784047419-11103.3784047419
1364024826004.129164053914243.8708359461
13709287.51731199875-9287.51731199875
1389507990151.70885241624927.29114758381
1398075087881.4354563577-7131.43545635774
14071319287.51731199875-2156.51731199875
14141949287.51731199875-5093.51731199875
1426037857966.51552662292411.48447337709
14396971114828.435149822-17857.4351498217
1448348467438.075316713116045.9246832869


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.07606927126202330.1521385425240470.923930728737977
90.09291154573464640.1858230914692930.907088454265354
100.6988699886778390.6022600226443230.301130011322161
110.7425445006541750.5149109986916490.257455499345825
120.6669485722795380.6661028554409240.333051427720462
130.5694255883340880.8611488233318250.430574411665912
140.5158347285981240.9683305428037520.484165271401876
150.4779776006740060.9559552013480120.522022399325994
160.664790443324460.6704191133510810.33520955667554
170.9908145122032290.01837097559354170.00918548779677083
180.9862566777682180.0274866444635640.013743322231782
190.985780405999760.02843918800048030.0142195940002401
200.9925081532986550.01498369340268970.00749184670134486
210.9880429490366870.0239141019266260.011957050963313
220.9871331936473850.02573361270522980.0128668063526149
230.9909195031856650.01816099362867060.0090804968143353
240.9864676518709930.02706469625801390.013532348129007
250.9798635135335960.04027297293280820.0201364864664041
260.9727951556798530.05440968864029350.0272048443201467
270.9615668279541130.07686634409177330.0384331720458867
280.9477097363254190.1045805273491630.0522902636745815
290.9970414729979430.005917054004114720.00295852700205736
300.9976759595300750.004648080939849670.00232404046992483
310.996432914248730.007134171502540460.00356708575127023
320.9962299938554230.007540012289153690.00377000614457684
330.9950543044429560.009891391114087570.00494569555704379
340.993838907288950.01232218542210.00616109271105001
350.9939323825170650.012135234965870.00606761748293501
360.9914167820188130.01716643596237410.00858321798118706
370.9936677053617290.0126645892765430.0063322946382715
380.9909786947252510.01804261054949880.00902130527474942
390.9906835471803550.01863290563929050.00931645281964527
400.9942051300411960.01158973991760870.00579486995880436
410.9918832282936630.01623354341267410.00811677170633704
420.9889181197672690.02216376046546280.0110818802327314
430.9904286636281230.0191426727437550.00957133637187751
440.9875227520547980.02495449589040460.0124772479452023
450.9914186883488340.01716262330233180.00858131165116591
460.9881428155140530.02371436897189320.0118571844859466
470.9839701699759440.03205966004811270.0160298300240563
480.9818650520206180.03626989595876370.0181349479793818
490.9767902620088840.04641947598223260.0232097379911163
500.9691348209737160.06173035805256850.0308651790262842
510.9600972768581840.07980544628363220.0399027231418161
520.954610421332040.09077915733591960.0453895786679598
530.9879169815550330.02416603688993370.0120830184449668
540.995587981369130.008824037261739090.00441201863086955
550.993955375021350.01208924995729960.00604462497864979
560.9939057234204310.0121885531591380.00609427657956901
570.9960469699175330.007906060164934820.00395303008246741
580.9958273190168320.008345361966336350.00417268098316817
590.995114510576760.009770978846479920.00488548942323996
600.994166067287880.01166786542423910.00583393271211954
610.9932064224893870.01358715502122520.00679357751061258
620.990986498076730.01802700384653910.00901350192326954
630.9881269693333260.02374606133334750.0118730306666737
640.9841280424076320.03174391518473630.0158719575923682
650.9816345231725550.03673095365489040.0183654768274452
660.980950872877180.03809825424564010.0190491271228201
670.9792366723963930.04152665520721470.0207633276036073
680.9814109987214390.03717800255712190.018589001278561
690.9790400629887190.04191987402256120.0209599370112806
700.9740515175186170.05189696496276650.0259484824813833
710.9978549201464480.004290159707103530.00214507985355177
720.9980286312241580.003942737551684630.00197136877584232
730.9990962129982130.001807574003574340.000903787001787172
740.9986851634788370.002629673042325330.00131483652116266
750.9996227828234150.0007544343531699880.000377217176584994
760.9996029698004680.0007940603990641220.000397030199532061
770.9994745407482330.001050918503533480.000525459251766741
780.9993637318428340.001272536314332210.000636268157166103
790.9990727201277890.001854559744422210.000927279872211105
800.9989723185113460.002055362977307860.00102768148865393
810.9994709658262950.001058068347410560.000529034173705281
820.9999948211187371.03577625253816e-055.1788812626908e-06
830.9999909279916011.81440167988666e-059.07200839943329e-06
840.9999838873465673.2225306865332e-051.6112653432666e-05
850.9999833920900433.32158199141874e-051.66079099570937e-05
860.9999805435076883.8912984624678e-051.9456492312339e-05
870.999987366464622.52670707589812e-051.26335353794906e-05
880.9999900830840721.98338318569895e-059.91691592849474e-06
890.9999890357331782.19285336431546e-051.09642668215773e-05
900.9999803751537373.92496925269956e-051.96248462634978e-05
910.9999680729806426.38540387150382e-053.19270193575191e-05
920.999950485337439.90293251403334e-054.95146625701667e-05
930.9999485628126330.0001028743747343415.14371873671703e-05
940.9999501384523869.9723095227765e-054.98615476138825e-05
950.9999248610546620.0001502778906757347.51389453378671e-05
960.9999544401950339.11196099344803e-054.55598049672401e-05
970.9999498673583920.0001002652832158775.01326416079386e-05
980.9999109462581580.0001781074836835138.90537418417565e-05
990.999965693123436.86137531409896e-053.43068765704948e-05
1000.9999420404218260.0001159191563472995.79595781736493e-05
1010.9999254696999590.0001490606000812657.45303000406323e-05
1020.9999579737785038.40524429940275e-054.20262214970137e-05
1030.9999267430134430.0001465139731148657.32569865574323e-05
1040.9998743203908750.0002513592182493970.000125679609124698
1050.9997728923646930.0004542152706136250.000227107635306813
1060.9996626329082830.0006747341834333930.000337367091716696
1070.999697267942170.0006054641156604380.000302732057830219
1080.9994902610853770.00101947782924540.000509738914622701
1090.9991731633981620.001653673203675060.000826836601837532
1100.9998902453166490.0002195093667021020.000109754683351051
1110.9999280288844890.0001439422310229447.1971115511472e-05
1120.9998612210093710.0002775579812589440.000138778990629472
1130.9999683175948096.33648103820848e-053.16824051910424e-05
1140.9999434534459830.000113093108034435.65465540172152e-05
1150.9998876079133410.0002247841733175670.000112392086658784
1160.9998010286797820.0003979426404351710.000198971320217586
1170.9999591284765438.17430469136845e-054.08715234568422e-05
1180.9999780468901814.39062196373424e-052.19531098186712e-05
1190.9999975078090424.98438191531074e-062.49219095765537e-06
1200.9999963685070337.2629859343311e-063.63149296716555e-06
1210.9999973684350425.26312991699301e-062.63156495849651e-06
1220.9999929611011371.40777977269786e-057.03889886348932e-06
1230.9999795830593924.08338812168896e-052.04169406084448e-05
1240.9999850418115982.99163768042342e-051.49581884021171e-05
1250.9999686205489326.2758902135719e-053.13794510678595e-05
1260.9999204429449950.0001591141100108687.9557055005434e-05
1270.9997696245620190.0004607508759615940.000230375437980797
1280.9998313703174040.0003372593651924320.000168629682596216
1290.9996530313358870.0006939373282262430.000346968664113121
1300.9989332947891120.002133410421776260.00106670521088813
1310.9969101157804780.006179768439043710.00308988421952185
1320.999701237859080.0005975242818403240.000298762140920162
1330.998721418252030.002557163495939810.0012785817479699
1340.9974700403559910.005059919288017580.00252995964400879
1350.9947798792950470.01044024140990510.00522012070495257
1360.9872173546958420.02556529060831520.0127826453041576


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level730.565891472868217NOK
5% type I error level1130.875968992248062NOK
10% type I error level1190.922480620155039NOK