Multiple Linear Regression - Estimated Regression Equation
TimeinRFC[t] = + 3889.89464219995 + 835.012168981066`#logins`[t] + 1598.5326580873`#FBmess`[t] + 356.795494589362`#revCom`[t] + 0.506099792092499`#char`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3889.8946421999511294.3226710.34440.7309920.365496
`#logins`835.012168981066121.8057996.855300
`#FBmess`1598.5326580873806.1149891.9830.0490890.024544
`#revCom`356.795494589362224.0044821.59280.113190.056595
`#char`0.5060997920924990.1260494.01519.1e-054.6e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.841823323121026
R-squared0.708666507350527
Adjusted R-squared0.701337362881358
F-TEST (value)96.6915729839426
F-TEST (DF numerator)4
F-TEST (DF denominator)159
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation53069.890594166
Sum Squared Residuals447809712740.602


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1252101210001.40229836542099.5977016351
2134577190797.503280426-56220.5032804262
3198520199221.596033042-701.59603304166
4189326233249.368149675-43923.3681496747
5137449121073.40783460416375.5921653961
665295143084.514635606-77789.5146356059
7439387264289.237238658175097.762761342
83318667920.8325376312-34734.8325376311
9178368195424.726354195-17056.7263541952
10186657138883.31493471247773.6850652885
11261949225179.54841252636769.4515874741
12191051260413.997276206-69362.9972762059
13138866169165.74073434-30299.7407343395
14296878229952.66643290966925.3335670912
15192648185651.5915514446996.40844855606
16333462341420.566129286-7958.56612928592
17243571229327.9197634814243.0802365199
18263451254312.3121798029138.68782019795
19155679168046.714997602-12367.7149976019
20227053248887.535360781-21834.5353607811
21240028221241.78407510718786.2159248929
22388549217541.478539731171007.521460269
23156540143696.40974431512843.5902556854
24148421232058.037379505-83637.0373795054
25177732226362.704873597-48630.7048735969
26191441242144.732612734-50703.732612734
27249893255710.702376593-5817.70237659303
28236812207836.2461350928975.7538649101
29142329135806.0147679126522.98523208832
30259667196720.51283136662946.4871686342
31231625239432.336467299-7807.33646729934
32176062211420.794034387-35358.7940343865
33286683250846.1887584135836.81124159
3487485160620.89732083-73135.8973208301
35322865230990.92239525491874.0776047459
36247082177048.07109491270033.9289050885
37346011251024.23282422794986.767175773
38191653177001.63138143314651.3686185668
3911467389093.007457234725579.9925427653
40284224285858.934771246-1634.93477124563
41284195197749.45509564386445.544904357
42155363177903.505892579-22540.505892579
43177306191592.758626544-14286.7586265439
44144571166065.310423816-21494.3104238159
45140319198681.105614759-58362.1056147586
46405267276180.724988177129086.275011823
4778800120788.245824972-41988.2458249718
48201970238784.109184768-36814.1091847676
49302674285699.7693101216974.2306898802
50164733197120.241745904-32387.2417459042
51194221197784.031245033-3563.03124503302
522418835833.1795551706-11645.1795551706
53342263421199.785816212-78936.785816212
546502985097.2688628035-20068.2688628035
55101097110382.615457498-9285.6154574985
56246088179677.46581330966410.534186691
57273108291370.543642258-18262.5436422578
58282220302529.433687456-20309.4336874559
59273495266368.4778238237126.52217617744
60214872198714.67041999516157.3295800053
61335121296192.19216171438928.8078382864
62267171238696.71121229228474.2887877082
63187938200220.346617497-12282.3466174974
64229512216387.72878147713124.2712185228
65209798200988.5213034078809.47869659263
66201345159459.86450163641885.1354983636
67163833253780.499087758-89947.4990877584
68204250262700.550194998-58450.5501949981
69197813202987.576010163-5174.5760101631
70132955173092.883115675-40137.8831156745
71216092211417.0533865984674.9466134023
7273566102728.798420637-29162.7984206373
73213198226668.388793623-13470.3887936229
74181713184252.367202875-2539.36720287547
75148698181443.301732634-32745.301732634
76300103220754.04364184679348.9563581543
77251437217865.75840650133571.2415934985
78197295308145.021022511-110850.021022511
79158163182206.170714773-24043.1707147726
80155529173621.453021594-18092.4530215936
81132672130309.7319806822362.26801931775
82377205262011.309294833115193.690705167
83145905155467.31402521-9562.31402520989
84223701216742.0559713446958.94402865635
858095375843.32091319925109.67908680077
86130805121859.6127124398945.38728756132
87135082194618.120796503-59536.120796503
88300805280013.49939195520791.5006080449
89271806237771.15238184134034.8476181586
90150949258078.772829617-107129.772829617
91225805172808.65512594352996.3448740574
92197389214985.075522853-17596.0755228532
93156583154468.9183039062114.08169609357
94222599182947.01604831839651.9839516818
95261601224541.13818585437059.8618141464
96178489200714.750841708-22225.7508417081
97200657199099.1552927391557.84470726052
98259084240415.94942612918668.0505738709
99313075352363.025202648-39288.025202648
100346933253359.18286925593573.8171307447
101246440283203.186110529-36763.1861105289
102252444223987.40832541928456.5916745811
103159965228041.528499792-68076.5284997916
1044328790928.9630693595-47641.9630693595
105172239132276.95434128239962.0456587181
106183738235345.253345654-51607.2533456542
107227681184010.6266061743670.3733938304
108260464217975.50503303142488.494966969
109106288210282.949583505-103994.949583505
110109632240811.477715774-131179.477715774
111268905226703.3180888942201.68191111
112266805229190.45087268137614.5491273186
1132362315264.6857162438358.31428375699
114152474175252.502215406-22778.5022154059
1156185765787.4059119992-3930.40591199919
116144889164652.910670491-19763.9106704913
117346600224904.162285408121695.837714592
1182105417682.80466813613371.19533186392
119224051159942.75371444564108.2462855551
1203141442898.6512340206-11484.6512340206
121261043234423.19237895826619.807621042
122197819230932.10654864-33113.1065486401
123154984226928.341429822-71944.3414298217
124112933174403.754282533-61470.7542825329
1253821457001.2885146587-18787.2885146587
126158671179588.017582099-20917.0175820995
127302148251843.95103174750304.0489682534
128177918225800.665853462-47882.6658534619
129350552246148.576733171104403.423266829
130275578268490.8766133187087.12338668172
131368746350957.1643421417788.8356578595
132172464168527.8079839813936.19201601859
13394381149470.793793385-55089.7937933852
134243875391712.100744381-147837.100744381
135382487322567.30351899659919.6964810044
136114525209417.69258853-94892.6925885301
137335681287706.14629939947974.8537006015
138147989183930.718375575-35941.718375575
139216638184434.59924414932203.4007558509
140192862188956.2785110573905.72148894285
141184818214203.465054346-29385.4650543462
142336707238910.83862379797796.1613762029
143215836220530.309144056-4694.3091440559
144173260136741.03974375136518.9602562489
145271773245647.14502637326125.8549736266
146130908256806.692235749-125898.692235749
147204009234888.389521837-30879.3895218371
148245514263355.597566878-17841.597566878
14913889.89464219995-3888.89464219995
1501468815288.2553797837-600.255379783715
151984724.90681118101-4626.90681118101
1524555559.91898016207-5104.91898016207
15303889.89464219995-3889.89464219995
15403889.89464219995-3889.89464219995
155195765186298.405206749466.59479326032
156326038240784.48757913585253.512420865
15703889.89464219995-3889.89464219995
1582037229.94331812421-7026.94331812421
15971998896.98354530533-1697.98354530533
1604666036348.33335725910311.666642741
1611754713077.61790730524469.38209269484
162107465140856.527168903-33391.5271689033
1639695559.91898016207-4590.91898016207
164173102161065.95044762112036.0495523789


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.4357501864756340.8715003729512670.564249813524366
90.2937941589630160.5875883179260320.706205841036984
100.5852118872186160.8295762255627680.414788112781384
110.6229535402513150.754092919497370.377046459748685
120.5193802738020550.961239452395890.480619726197945
130.4281576637246940.8563153274493880.571842336275306
140.7567539448965030.4864921102069930.243246055103497
150.7336230230463940.5327539539072110.266376976953606
160.6957606220006060.6084787559987880.304239377999394
170.6261987090783170.7476025818433660.373801290921683
180.6959091438465120.6081817123069760.304090856153488
190.6530056529812370.6939886940375250.346994347018763
200.5829346529134380.8341306941731240.417065347086562
210.5248075499122290.9503849001755420.475192450087771
220.9463324754805550.107335049038890.0536675245194448
230.9253822714091310.1492354571817380.0746177285908692
240.922768046654980.154463906690040.0772319533450202
250.9272738265749190.1454523468501610.0727261734250806
260.9362623740755780.1274752518488450.0637376259244223
270.9189499946381460.1621000107237070.0810500053618535
280.9038481011233290.1923037977533420.0961518988766709
290.8807496856051450.2385006287897090.119250314394855
300.8985666373059020.2028667253881960.101433362694098
310.8700566797845470.2598866404309050.129943320215453
320.8435118726641970.3129762546716060.156488127335803
330.8296892508810010.3406214982379980.170310749118999
340.832160036180870.3356799276382610.16783996381913
350.870456285080210.2590874298395790.129543714919789
360.9041911228552710.1916177542894580.095808877144729
370.9291250858560440.1417498282879120.0708749141439558
380.909335800478060.181328399043880.09066419952194
390.8889697242748070.2220605514503850.111030275725193
400.8821679438091880.2356641123816250.117832056190813
410.9067696195703140.1864607608593720.093230380429686
420.8873103301322110.2253793397355790.112689669867789
430.865990726745460.268018546509080.13400927325454
440.8384583339832290.3230833320335430.161541666016771
450.836518699078350.32696260184330.16348130092165
460.9125409633915350.174918073216930.0874590366084649
470.9026141551842940.1947716896314110.0973858448157057
480.8862983787446150.227403242510770.113701621255385
490.8628584562371070.2742830875257850.137141543762893
500.8396038087547910.3207923824904180.160396191245209
510.8092866255770640.3814267488458720.190713374422936
520.7835963693948910.4328072612102170.216403630605109
530.9036431170088640.1927137659822720.0963568829911362
540.8848915857473380.2302168285053240.115108414252662
550.861099198275140.2778016034497210.13890080172486
560.8690569975989370.2618860048021260.130943002401063
570.8518161549568220.2963676900863560.148183845043178
580.8412035504974720.3175928990050560.158796449502528
590.8117471612565810.3765056774868380.188252838743419
600.7807816936000060.4384366127999880.219218306399994
610.7596292473286210.4807415053427570.240370752671379
620.7344630363223510.5310739273552970.265536963677649
630.6973270493830140.6053459012339720.302672950616986
640.6574151596117660.6851696807764670.342584840388234
650.6149673587527550.770065282494490.385032641247245
660.5964827729418610.8070344541162790.403517227058139
670.698679799479910.602640401040180.30132020052009
680.6988687541730130.6022624916539750.301131245826987
690.6601374131680430.6797251736639150.339862586831957
700.6506689912515960.6986620174968090.349331008748404
710.6078751448711430.7842497102577140.392124855128857
720.5747984984910970.8504030030178050.425201501508903
730.5316277470983950.9367445058032090.468372252901605
740.486121837101830.9722436742036610.51387816289817
750.4582796882522370.9165593765044750.541720311747763
760.5083461565832880.9833076868334240.491653843416712
770.4791174329897560.9582348659795120.520882567010244
780.6606658393261280.6786683213477430.339334160673872
790.6265194044393850.7469611911212310.373480595560615
800.5874603780702360.8250792438595270.412539621929764
810.5424265250060960.9151469499878080.457573474993904
820.6987108529929320.6025782940141360.301289147007068
830.658772765505940.682454468988120.34122723449406
840.6166512127490380.7666975745019240.383348787250962
850.5730733194425490.8538533611149020.426926680557451
860.5292852455528860.9414295088942280.470714754447114
870.5401354154203550.9197291691592890.459864584579645
880.5048278149015040.9903443701969930.495172185098496
890.4760484125270070.9520968250540130.523951587472993
900.6059990618530810.7880018762938380.394000938146919
910.6047130664368380.7905738671263250.395286933563162
920.5641465515739060.8717068968521880.435853448426094
930.5183878283416020.9632243433167960.481612171658398
940.4984276107539860.9968552215079730.501572389246014
950.4753794092446990.9507588184893980.524620590755301
960.4366470184421550.873294036884310.563352981557845
970.3913555336443360.7827110672886730.608644466355663
980.3531293275522250.7062586551044490.646870672447775
990.3302374991616680.6604749983233370.669762500838332
1000.4413673879832870.8827347759665750.558632612016713
1010.4145683145035750.8291366290071510.585431685496425
1020.3858814865772850.771762973154570.614118513422715
1030.4140131063620690.8280262127241370.585986893637931
1040.4062004382150960.8124008764301910.593799561784904
1050.3857184619177820.7714369238355630.614281538082218
1060.378658715548060.757317431096120.62134128445194
1070.3621135223149650.724227044629930.637886477685035
1080.3456984375259040.6913968750518090.654301562474096
1090.4412524373191540.8825048746383070.558747562680846
1100.6842644045475250.631471190904950.315735595452475
1110.6680546007353790.6638907985292410.331945399264621
1120.6424061392365210.7151877215269590.357593860763479
1130.5958566131672930.8082867736654130.404143386832707
1140.5558739462541670.8882521074916670.444126053745833
1150.5057536491234360.9884927017531290.494246350876564
1160.4607627375828340.9215254751656670.539237262417166
1170.665885292988060.668229414023880.33411470701194
1180.6178610026094720.7642779947810570.382138997390528
1190.6419685843609060.7160628312781870.358031415639094
1200.593351221301790.8132975573964210.40664877869821
1210.5613220032238130.8773559935523740.438677996776187
1220.5235970536957240.9528058926085520.476402946304276
1230.5585672053870450.882865589225910.441432794612955
1240.5775116129563210.8449767740873580.422488387043679
1250.5278447359408060.9443105281183880.472155264059194
1260.4812675725330680.9625351450661370.518732427466932
1270.4835213021663470.9670426043326940.516478697833653
1280.4661641991999730.9323283983999460.533835800800027
1290.6464605503181330.7070788993637340.353539449681867
1300.5947298087350630.8105403825298750.405270191264937
1310.5510530398753340.8978939202493330.448946960124666
1320.4986639577449060.9973279154898120.501336042255094
1330.4952203945479950.9904407890959910.504779605452005
1340.9997601474299380.0004797051401234330.000239852570061717
1350.9997350930879860.0005298138240289450.000264906912014472
1360.9996049656244460.0007900687511073790.00039503437555369
1370.9992780620087310.001443875982537330.000721937991268667
1380.9995921572153670.0008156855692667250.000407842784633363
1390.9999466992268070.0001066015463866385.3300773193319e-05
1400.9998858113580890.0002283772838221120.000114188641911056
1410.9999999940055971.19888057198986e-085.9944028599493e-09
1420.9999999999453541.09292526827274e-105.46462634136369e-11
1430.9999999997400075.19986650614173e-102.59993325307086e-10
1440.999999999068271.86345995899252e-099.31729979496258e-10
1450.9999999999978484.30434845547359e-122.1521742277368e-12
1460.999999999983873.22605439653583e-111.61302719826791e-11
1470.9999999998454213.09158873838413e-101.54579436919207e-10
1480.9999999985270432.94591399375367e-091.47295699687684e-09
1490.999999988782192.24356210048216e-081.12178105024108e-08
1500.9999999810751023.78497963502678e-081.89248981751339e-08
1510.9999998083086523.83382696061771e-071.91691348030886e-07
1520.9999982321659873.53566802639322e-061.76783401319661e-06
1530.9999864091046762.71817906486089e-051.35908953243045e-05
1540.9999043501456770.0001912997086464899.56498543232443e-05
1550.9999962201375597.55972488186451e-063.77986244093225e-06
1560.9999202248507610.0001595502984780647.97751492390319e-05


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level230.154362416107383NOK
5% type I error level230.154362416107383NOK
10% type I error level230.154362416107383NOK