Multiple Linear Regression - Estimated Regression Equation
time_in_rfc[t] = -21842.6579919239 + 75.4788608676633pageviews[t] + 942.873496840887compendiums_reviewed[t] + 432.052937981401`feedback_messages_p120 `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-21842.65799192394809.304189-4.54188e-064e-06
pageviews75.47886086766333.4910121.620900
compendiums_reviewed942.873496840887453.7839432.07780.0386230.019311
`feedback_messages_p120 `432.052937981401124.2942423.4760.0005880.000294


Multiple Linear Regression - Regression Statistics
Multiple R0.922863158317152
R-squared0.851676408979109
Adjusted R-squared0.850115108020995
F-TEST (value)545.491504730489
F-TEST (DF numerator)3
F-TEST (DF denominator)285
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31877.6763984842
Sum Squared Residuals289613081981.446


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1210907154085.54779390156821.452206099
2120982114650.3826257056331.61737429544
3176508169650.1152478256857.88475217499
4179321214885.085329952-35564.0853299518
512318588941.712417391734243.2875826083
65274667862.4711663653-15116.4711663653
7385534282653.830422796102880.169577204
83317032636.886968706533.11303129404
910164594917.76427087386727.2357291262
10149061162336.012911721-13275.0129117205
11165446136266.4364965529179.5635034501
12237213200273.756830336939.2431696997
13173326196428.507687479-23102.5076874792
14133131148960.787302931-15829.7873029306
15258873234519.11490898524353.8850910149
16180083152997.7281130527085.2718869496
17324799400067.366706701-75268.3667067008
18230964184896.57142139846067.4285786025
19236785200492.68759403536292.3124059654
20135473106555.02620108828917.9737989118
21202925212047.097736798-9122.09773679821
22215147208249.7042518956897.29574810544
23344297222328.870280595121968.129719405
24153935130105.83647808523829.1635219148
25132943179621.918368387-46678.9183683873
26174724251890.728540608-77166.7285406077
27174415218693.569622897-44278.5696228965
28225548225525.67734113922.322658860499
29223632184752.89406282638879.1059371739
30124817128960.635385876-4143.63538587637
31221698193565.68647398528132.3135260145
32210767195199.00482410515567.9951758951
33170266189649.608619165-19383.6086191647
34260561217619.17473522142941.8252647791
3584853114448.75787348-29595.7578734797
36294424247920.8985610346503.1014389703
3710101169836.737707575231174.2622924248
38215641194507.1542845421133.8457154597
39325107267464.18570972457642.8142902756
407176-7803.5898705385414979.5898705385
41167542147944.31801894619597.6819810536
4210640872632.744319689133775.2556803109
4396560145937.800633385-49377.8006333848
44265769250910.72787733814858.2721226621
45269651253964.90094904415686.0990509558
46149112152136.955294527-3024.95529452651
47175824234226.770233888-58402.7702338881
48152871147829.8289179255041.17108207456
49111665128111.611921108-16446.6119211081
50116408186753.17842352-70345.1784235195
51362301382903.796696514-20602.7966965141
5278800100477.141109227-21677.1411092266
53183167212754.508074996-29587.5080749956
54277965326982.646843026-49017.6468430255
55150629187389.438062031-36760.438062031
56168809156301.69564546112507.3043545391
572418822390.72155167041797.27844832955
58329267245470.69323711283796.3067628876
596502977640.566653619-12611.566653619
6010109796702.69888844314394.3011115569
61218946224504.036223421-5558.03622342053
62244052252327.135398295-8275.13539829514
63341570385729.150934493-44159.1509344929
6410359798346.40520346065250.59479653943
65233328251967.250771209-18639.2507712089
66256462213652.27119910142809.7288008993
67206161180853.14565467625307.8543453239
68311473307328.8178990354144.1821009652
69235800213365.41637686322434.5836231375
70177939200938.598415201-22999.5984152007
71207176205069.0229722782106.9770277216
72196553140810.99770037655742.0022996242
73174184136813.02283298137370.9771670193
74143246161464.80783087-18218.8078308701
75187559233480.464008919-45921.4640089187
76187681182227.3692463555453.63075364464
77119016127522.545426237-8506.5454262373
78182192222151.013989015-39959.0139890148
797356696193.6020349937-22627.6020349937
80194979214106.028365726-19127.028365726
81167488141562.45325161325925.5467483865
82143756169618.770194855-25862.7701948547
83275541199122.49990293776418.5000970626
84243199188804.46240416954394.5375958314
85182999168517.79547396214481.2045260377
86135649161870.302725597-26221.3027255969
87152299158793.337758085-6494.33775808462
88120221135590.278647904-15369.2786479036
89346485286116.62778092560368.3722190745
90145790144850.953548811939.046451189508
91193339165920.92026062527418.0797393748
928095363032.368263168117920.6317368319
93122774155439.994528089-32665.9945280892
94130585131285.057134989-700.057134988894
9511261199278.369050536713332.6309494633
96286468278468.8358269327999.16417306753
97241066212329.12522045428736.8747795457
98148446261023.149020728-112577.149020728
99204713181361.47286008723351.5271399125
100182079182983.041856451-904.041856451305
101140344144072.01165547-3728.01165547034
102220516244289.408348208-23773.4083482081
103243060198674.66171061844385.3382893816
104162765155023.7711418747741.22885812607
105182613150661.60130761131951.3986923892
106232138171490.61500792360647.3849920768
107265318330284.14281195-64966.14281195
10885574110879.321728351-25305.3217283509
109310839252248.16482917958590.8351708213
110225060226469.615997676-1409.61599767598
111232317198781.52992188533535.4700781151
112144966134923.03627297410042.9637270258
1134328769161.6007211959-25874.6007211959
114155754141968.10751465413785.8924853455
115164709152277.29959565912431.700404341
116201940199149.7164919062790.28350809351
117235454215878.10417241619575.8958275844
118220801184326.03546604636474.9645339541
1199946695623.60955447093842.39044552907
12092661131911.750691193-39250.7506911933
121133328141221.165251437-7893.16525143702
1226136191602.5690695744-30241.5690695744
123125930178661.832140961-52731.8321409607
124100750143312.89091705-42562.8909170497
125224549162386.3394156262162.6605843803
1268231666953.458583409415362.5414165906
12710201092829.16799695739180.83200304273
128101523132498.275566625-30975.2755666253
129243511212014.75758008531496.242419915
130229388612.4501041733214325.5498958267
1314156655748.0459254337-14182.0459254337
132152474165333.25945204-12859.2594520404
1336185741494.334872629420362.6651273706
13499923186345.389872525-86422.3898725251
135132487159055.676979107-26568.6769791067
136317394223586.63310267293807.3668973278
137210547367.6611638617913686.3388361382
138209641158193.65784261151447.342157389
1392264849309.0734684381-26661.0734684381
1403141423478.81495421667935.18504578338
1414669865055.5331145245-18357.5331145245
142131698148669.463490101-16971.4634901007
1439173595552.4628233472-3817.46282334722
144244749262675.70075351-17926.7007535099
145184510197578.743752575-13068.7437525751
14679863133440.401922895-53577.4019228946
147128423156709.435930465-28286.4359304646
14897839115196.743506431-17357.7435064307
1493821437645.4346532454568.565346754631
150151101174856.136713122-23755.1367131217
151272458247256.33069782525201.6693021753
152172494162613.2751756239880.72482437704
153108043115031.043900091-6988.04390009137
154328107292862.39128596535244.6087140355
155250579213394.0604420837184.9395579202
156351067310264.35089825340802.6491017475
157158015132270.27392942225744.726070578
1589886687272.354568005411593.6454319946
15985439110415.720071656-24976.7200716564
160229242223797.5098866425444.49011335759
161351619348817.5607041482801.4392958521
16284207128201.514647456-43994.5146474558
163120445124391.828333968-3946.82833396771
164324598316643.2674321657954.73256783453
165131069162088.892962741-31019.8929627407
166204271168757.95307890235513.0469210977
167165543175603.600661206-10060.6006612059
168141722113441.92941382228280.070586178
16911604890020.461224773426027.5387752266
170250047166856.58019919783190.4198008028
171299775302300.697022747-2525.69702274709
172195838173588.41901615622249.5809838435
173173260185257.296469979-11997.2964699789
174254488239986.72845473214501.2715452677
175104389184089.550727631-79700.550727631
176136084127159.031512558924.96848744983
177199476219823.825164759-20347.8251647586
1789249991427.16183401361071.83816598641
179224330215370.2318469768959.768153024
180135781105018.3917630830762.60823692
1817440894594.8474419023-20186.8474419023
18281240136328.5791591-55088.5791590996
18314688-6218.5337923176220906.5337923176
184181633162146.13751325119486.8624867488
185271856233538.36710514438317.6328948563
1867199-10445.350000906817644.3500009068
1874666024265.377737311122394.6222626889
18817547-8529.0533608169126076.0533608169
189133368141580.18838457-8212.18838457038
1909522794885.4016066942341.598393305846
191152601120141.87970298232459.1202970179
1929814691762.21284075976383.78715924029
19379619106741.909068709-27122.9090687091
19459194129345.128895102-70151.1288951023
195139942137253.4438012882688.55619871193
196118612113946.9421006994665.05789930134
1977288093705.2486823805-20825.2486823805
1986547556784.11090863278690.88909136732
19999643120259.383842318-20616.383842318
2007196574689.6107166163-2724.61071661628
2017727271798.66640526765473.33359473235
2024928955498.1363938438-6209.13639384376
203135131122082.53329347813048.4667065218
204108446115259.589012123-6813.58901212349
20589746133695.323919905-43949.3239199051
2064429656606.7320044905-12310.7320044905
2077764895642.1843914186-17994.1843914186
208181528135705.85541608745822.1445839134
209134019111298.92246943422720.0775305664
210124064127084.617811378-3020.6178113781
2119263087021.62783989125608.37216010885
212121848111378.91461832210469.0853816785
2135291562568.2006241783-9653.20062417832
2148187274018.8058599817853.19414001899
21558981109904.718354521-50923.7183545206
2165351589751.20395714-36236.20395714
2176081293982.1711371968-33170.1711371968
2185637562645.4256979226-6270.42569792256
2196549062530.37061460642959.62938539364
2208094962121.768118145418827.2318818546
22176302101495.878290954-25193.8782909541
222104011154780.143618647-50769.1436186473
22398104169073.386596472-70969.3865964716
2246798972968.6793278546-4979.67932785456
2253098934619.4990327753-3630.49903277526
226135458138089.745316024-2631.74531602439
2277350446361.225133169527142.7748668305
2286312385096.6669403134-21973.6669403134
2296125493837.0880923393-32583.0880923393
23074914143495.441654927-68581.4416549267
2313177461893.4041643896-30119.4041643896
2328143796270.6459504617-14833.6459504617
23387186123464.558933188-36278.5589331881
2345009065745.4119855078-15655.4119855078
2356574589997.713626396-24252.713626396
2365665367247.8899979735-10594.8899979735
237158399113425.34875292244973.6512470779
2384645550394.5366566884-3939.53665668838
2397362490645.6340238061-17021.6340238061
2403839558618.4880286818-20223.4880286818
2419189988150.84001201973748.15998798029
242139526158634.078810918-19108.0788109183
2435216467374.0358893307-15210.0358893307
2445156757370.4103283598-5803.41032835983
2457055173895.7675703579-3344.76757035787
2468485692092.7505594856-7236.75055948559
247102538136735.820266703-34197.820266703
2488667867115.688271462119562.3117285379
2498570974035.453325775911673.5466742241
2503466228654.24247567676007.7575243233
251150580150116.058340913463.941659086542
25299611101025.473658534-1414.473658534
25319349-4143.4773824617823492.4773824618
25499373113396.726477667-14023.7264776669
25586230103789.388077106-17559.388077106
2563083716490.352224798814346.6477752012
2573170638542.1544076169-6836.15440761687
2588980677097.790762065412708.2092379346
2596208855552.47700836286535.52299163718
2604015129497.006439548110653.9935604519
2612763444214.9994847235-16580.9994847235
2627699085479.277375815-8489.27737581497
2633746029224.93779934258235.06220065746
2645415759380.375842246-5223.37584224603
2654986262768.4639875457-12906.4639875457
2668433771164.80755678513172.192443215
2676417583267.6428122753-19092.6428122753
2685938249053.311767436810328.6882325632
26911930871665.942993889547642.0570061105
2707670288110.7421047044-11408.7421047044
271103425126220.989322854-22795.9893228536
2727034470320.341677465523.6583225345008
2734341039118.92807390334291.07192609675
274104838101831.4509825673006.54901743298
2756221549713.02581603112501.974183969
2766930495626.014313062-26322.014313062
2775311749792.49628005223324.50371994783
278197643282.776100967516481.2238990325
2798668098951.4606184117-12271.4606184117
2808410576731.53156319677373.46843680333
2817794592044.7137432919-14099.7137432919
2828911369264.817855899519848.1821441005
2839100587682.18159247613322.81840752385
2844024824806.045099435715441.9549005643
2856418765031.6052855658-844.605285565796
2865085784479.2518918828-33622.2518918828
2875661366410.863850132-9797.86385013204
2886279271472.641974562-8680.64197456199
2897253577571.4841544959-5036.48415449595


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.9432162983971420.1135674032057160.056783701602858
80.9140125181319490.1719749637361030.0859874818680515
90.8905583247926850.218883350414630.109441675207315
100.8674840322907540.2650319354184920.132515967709246
110.8022304884286380.3955390231427240.197769511571362
120.7616186781095770.4767626437808460.238381321890423
130.7071879785865530.5856240428268950.292812021413447
140.673885196708910.652229606582180.32611480329109
150.5912753711969720.8174492576060560.408724628803028
160.5078434994087320.9843130011825370.492156500591268
170.935781010765420.128437978469160.0642189892345802
180.9479902948248590.1040194103502820.0520097051751411
190.9313405250385450.137318949922910.068659474961455
200.9085057791815430.1829884416369150.0914942208184573
210.8776129575823470.2447740848353060.122387042417653
220.8407787128592510.3184425742814980.159221287140749
230.9894412199078890.02111756018422110.0105587800921106
240.9847385332773320.03052293344533690.0152614667226685
250.9832212240016980.03355755199660490.0167787759983024
260.9979042174696310.004191565060738740.00209578253036937
270.9986304249534130.00273915009317370.00136957504658685
280.9980364508566090.003927098286781280.00196354914339064
290.9982819243563890.003436151287221760.00171807564361088
300.9976428499439270.004714300112145910.00235715005607296
310.9970965674718290.005806865056341180.00290343252817059
320.9962436084464590.007512783107082570.00375639155354128
330.9947474991946070.01050500161078630.00525250080539313
340.9970937954855290.005812409028941470.00290620451447074
350.9968573277893260.006285344421348240.00314267221067412
360.9971148372162430.005770325567514710.00288516278375735
370.9960806072076960.007838785584608240.00391939279230412
380.9946421660772140.0107156678455710.00535783392278552
390.9962103167746530.007579366450693940.00378968322534697
400.9954277750797920.00914444984041640.0045722249202082
410.9937714065567740.01245718688645240.00622859344322619
420.9920585844667930.01588283106641380.00794141553320691
430.9977728029588050.004454394082390570.00222719704119529
440.9969043105617730.006191378876453920.00309568943822696
450.9957862118210260.008427576357948370.00421378817897419
460.9942573927444660.01148521451106890.00574260725553447
470.9982887205671690.003422558865661630.00171127943283082
480.9975994684559680.004801063088064520.00240053154403226
490.997159499649980.005681000700040920.00284050035002046
500.9988969565032380.002206086993523870.00110304349676194
510.9986240550448750.002751889910249530.00137594495512477
520.9984164266542670.003167146691466830.00158357334573342
530.9983338931230710.003332213753858080.00166610687692904
540.9987533435536860.002493312892627680.00124665644631384
550.9988893101426780.00222137971464350.00111068985732175
560.9984707176981470.003058564603705670.00152928230185284
570.9980983389105830.003803322178834040.00190166108941702
580.9996486070273270.0007027859453460570.000351392972673028
590.9995741604293750.0008516791412495260.000425839570624763
600.9994024564183580.001195087163283990.000597543581641993
610.9991742222728540.001651555454292240.000825777727146119
620.9988807701169920.002238459766015590.0011192298830078
630.99909599437950.001808011241000340.00090400562050017
640.9987554016613530.002489196677293950.00124459833864697
650.9984681793073790.003063641385241590.00153182069262079
660.9986704818304020.002659036339195760.00132951816959788
670.9984000164889350.003199967022130150.00159998351106507
680.9978518465201260.004296306959747620.00214815347987381
690.9974687644530360.005062471093927270.00253123554696364
700.9969219330986630.006156133802673220.00307806690133661
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1720.9999999065042521.86991496449297e-079.34957482246485e-08
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1780.9999999508001989.83996031751787e-084.91998015875893e-08
1790.9999999653398336.93203334489883e-083.46601667244941e-08
1800.9999999766289064.67421887544124e-082.33710943772062e-08
1810.9999999692173126.15653760338698e-083.07826880169349e-08
1820.999999988285042.34299202856449e-081.17149601428225e-08
1830.999999981094353.78113004051634e-081.89056502025817e-08
1840.9999999890411362.19177278154477e-081.09588639077238e-08
1850.9999999998989432.02114142946386e-101.01057071473193e-10
1860.9999999998269383.46123853647509e-101.73061926823755e-10
1870.9999999997046975.90606367167576e-102.95303183583788e-10
1880.9999999994835921.03281604092533e-095.16408020462664e-10
1890.9999999991334161.73316765280159e-098.66583826400795e-10
1900.9999999993025951.39481066611514e-096.97405333057568e-10
1910.9999999999657226.85569259039417e-113.42784629519708e-11
1920.9999999999505759.88501470536642e-114.94250735268321e-11
1930.9999999999434481.13103766112265e-105.65518830561323e-11
1940.9999999999900811.9836956962024e-119.918478481012e-12
1950.9999999999868352.63299311298256e-111.31649655649128e-11
1960.9999999999769734.60542968587162e-112.30271484293581e-11
1970.9999999999635047.29919008505298e-113.64959504252649e-11
1980.9999999999296891.40622529639962e-107.03112648199808e-11
1990.9999999998739132.52173201382988e-101.26086600691494e-10
2000.9999999997605764.78848259932207e-102.39424129966103e-10
2010.9999999995790878.41825966421979e-104.20912983210989e-10
2020.9999999993434521.31309678676326e-096.56548393381629e-10
2030.9999999992014841.59703152210999e-097.98515761054997e-10
2040.9999999985257912.94841799942036e-091.47420899971018e-09
2050.9999999987075112.58497832772464e-091.29248916386232e-09
2060.9999999976357254.72855005570592e-092.36427502785296e-09
2070.9999999961365767.72684708353801e-093.86342354176901e-09
2080.9999999998445763.10847526575224e-101.55423763287612e-10
2090.9999999999497811.00437371191855e-105.02186855959273e-11
2100.9999999999283141.43371088622807e-107.16855443114034e-11
2110.9999999998631032.73794255581078e-101.36897127790539e-10
2120.9999999998885422.22916122107272e-101.11458061053636e-10
2130.9999999997810534.37894185995776e-102.18947092997888e-10
2140.9999999996149167.70168603153719e-103.85084301576859e-10
2150.9999999997412045.17591164355689e-102.58795582177845e-10
2160.9999999997904524.19095860141695e-102.09547930070847e-10
2170.9999999998245313.50938932138836e-101.75469466069418e-10
2180.9999999996631616.73677274607598e-103.36838637303799e-10
2190.9999999993468391.30632188776717e-096.53160943883586e-10
2200.9999999991266041.746791230075e-098.733956150375e-10
2210.9999999985725282.85494445638858e-091.42747222819429e-09
2220.9999999987748482.45030474670985e-091.22515237335492e-09
2230.9999999998460853.07830217170529e-101.53915108585264e-10
2240.9999999996723676.55266941045751e-103.27633470522876e-10
2250.9999999993103461.37930711827148e-096.89653559135738e-10
2260.9999999988152592.36948131144938e-091.18474065572469e-09
2270.9999999988776882.24462409783756e-091.12231204891878e-09
2280.9999999984920343.01593132274411e-091.50796566137205e-09
2290.999999998414333.17133978513381e-091.5856698925669e-09
2300.9999999999436991.12602778837431e-105.63013894187157e-11
2310.9999999999684096.31817152977927e-113.15908576488964e-11
2320.9999999999353831.29233442584271e-106.46167212921354e-11
2330.9999999999650386.99238375152437e-113.49619187576219e-11
2340.9999999999282781.43444578285172e-107.17222891425861e-11
2350.9999999998592652.81470884181467e-101.40735442090734e-10
2360.9999999996988066.02387105895608e-103.01193552947804e-10
2370.9999999999987142.57182229420979e-121.2859111471049e-12
2380.9999999999970715.85748104848872e-122.92874052424436e-12
2390.9999999999930541.3891820450961e-116.94591022548051e-12
2400.9999999999931011.37982429199564e-116.89912145997818e-12
2410.9999999999879872.40250092500024e-111.20125046250012e-11
2420.9999999999685356.29296817233456e-113.14648408616728e-11
2430.9999999999463951.07209227491447e-105.36046137457236e-11
2440.9999999998929682.14064965159205e-101.07032482579603e-10
2450.9999999997265155.46970790765381e-102.7348539538269e-10
2460.9999999992974621.40507664051384e-097.02538320256918e-10
2470.9999999993256441.34871244819995e-096.74356224099976e-10
2480.9999999991608451.67830957856925e-098.39154789284627e-10
2490.9999999980733363.85332833506987e-091.92666416753494e-09
2500.999999995074899.85021947474678e-094.92510973737339e-09
2510.9999999948005181.0398963197168e-085.19948159858398e-09
2520.9999999886464742.27070511254932e-081.13535255627466e-08
2530.9999999716042335.67915330323539e-082.8395766516177e-08
2540.9999999309898461.38020307949067e-076.90101539745335e-08
2550.9999998585922012.82815597514233e-071.41407798757116e-07
2560.999999653745376.92509259682419e-073.46254629841209e-07
2570.9999994485677411.10286451829258e-065.51432259146289e-07
2580.9999993524113941.2951772126912e-066.475886063456e-07
2590.9999986562775362.68744492802967e-061.34372246401484e-06
2600.9999967818044466.43639110713333e-063.21819555356667e-06
2610.9999936307174281.2738565144316e-056.36928257215802e-06
2620.9999868915262062.62169475882197e-051.31084737941099e-05
2630.9999701741591395.96516817219866e-052.98258408609933e-05
2640.99993294306490.0001341138701997826.70569350998909e-05
2650.9999282061220550.0001435877558904717.17938779452357e-05
2660.9998964532315510.0002070935368989740.000103546768449487
2670.9998707625873170.0002584748253663640.000129237412683182
2680.9997462614857520.0005074770284955420.000253738514247771
2690.9999965520581126.89588377654041e-063.44794188827021e-06
2700.9999913103375361.73793249274686e-058.68966246373428e-06
2710.9999737216261385.25567477234199e-052.62783738617099e-05
2720.9999211625409450.0001576749181103977.88374590551985e-05
2730.9998920365672980.0002159268654036120.000107963432701806
2740.9997654204304770.0004691591390461440.000234579569523072
2750.9994389142065010.001122171586998840.000561085793499422
2760.9986375653619350.002724869276130670.00136243463806534
2770.9961984858912420.007603028217515230.00380151410875762
2780.9913161238209340.01736775235813130.00868387617906566
2790.9823532653369770.03529346932604530.0176467346630226
2800.9671195642245210.06576087155095790.032880435775479
2810.9194360725822720.1611278548354560.0805639274177281
2820.9707085152885450.05858296942291080.0292914847114554


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2460.891304347826087NOK
5% type I error level2570.931159420289855NOK
10% type I error level2590.938405797101449NOK