Multiple Linear Regression - Estimated Regression Equation
time[t] = + 14700.7736727012 + 1773.83353460073feedback[t] + 1147.86092997731blogs[t] + 0.381624042811461dgddg[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)14700.77367270126091.4214092.41340.0164370.008219
feedback1773.83353460073389.9039914.54948e-064e-06
blogs1147.86092997731116.995139.811200
dgddg0.3816240428114610.101863.74660.0002170.000108


Multiple Linear Regression - Regression Statistics
Multiple R0.86035968229665
R-squared0.740218782921593
Adjusted R-squared0.737484243794452
F-TEST (value)270.69233552912
F-TEST (DF numerator)3
F-TEST (DF denominator)285
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation42187.6578806867
Sum Squared Residuals507242566075.493


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1210907201447.4488260169459.55117398421
2120982163300.422674019-42318.4226740185
3176508182699.839096785-6191.83909678481
4179321230502.441912493-51181.4419124933
5123185124609.776909096-1424.77690909616
65274686963.2190010765-34217.2190010765
7385534243420.50123533142113.49876467
83317056481.3377698926-23311.3377698926
910164563711.19724664437933.802753356
10149061154513.257110923-5452.25711092342
11165446160243.9179135935202.08208640725
12237213196902.34891179340310.6510882074
13173326218828.314666807-45502.3146668069
14133131140476.858935928-7345.85893592772
15258873235731.01627429623141.9837257037
16180083167878.71526330812204.2847366919
17324799316705.4337486618093.56625133897
18230964236068.05047361-5104.05047361021
19236785196802.49434212739982.505657873
20135473187650.468972606-52177.4689726059
21202925254369.030116004-51444.0301160035
22215147232293.359534597-17146.3595345971
23344297185563.047101275158733.952898725
24153935141456.25941500512478.7405849951
25132943216361.082884364-83418.0828843642
26174724242572.809083121-67848.8090831215
27174415185063.995548445-10648.9955484447
28225548195227.65677828930320.3432217114
29223632221489.1911685672142.80883143276
30124817124722.23771012194.7622898789861
31221698223480.887048-1782.88704800026
32210767229516.304102999-18749.3041029992
33170266167950.5135812812315.48641871852
34260561256247.7627308124313.23726918754
3584853135020.401892564-50167.401892564
36294424234790.95042320459633.0495767956
3710101182717.812382142118293.1876178579
38215641174261.1555097541379.84449025
39325107205209.447587732119897.552412268
40717615243.824685622-8067.82468562196
41167542153257.1585485514284.8414514503
4210640889275.110720985917132.8892790141
4396560101841.929308453-5281.92930845321
44265769213379.44974432152389.550255679
45269651216343.17343365953307.8265663412
46149112164183.180727889-15071.1807278891
47175824130867.42609353944956.5739064613
48152871162580.615538476-9709.61553847647
49111665128143.382483076-16478.3824830758
50116408150220.385885375-33812.3858853746
51362301200681.138630859161619.861369141
527880096383.4695540146-17583.4695540147
53183167219962.718698065-36795.7186980651
54277965268959.415471619005.58452838953
55150629198127.832707684-47498.8327076836
56168809179181.696653354-10372.6966533538
572418833249.6583056509-9061.65830565086
58329267218738.857434278110528.142565722
596502983157.1010425938-18128.1010425938
6010109786068.13483759715028.865162403
61218946184164.98838799934781.0116120011
62244052263468.58746077-19416.5874607698
63341570204540.28885062137029.71114938
6410359783152.809690142320444.1903098578
65233328216045.93376019117282.0662398092
66256462258116.782954488-1654.78295448813
67206161178357.07128763827803.9287123622
68311473279432.97111064932040.0288893507
69235800232959.9784353062840.0215646936
70177939159559.15137555518379.8486244448
71207176168949.14844772238226.8515522778
72196553149557.75062341246995.2493765879
73174184162751.75855055111432.241449449
74143246180209.179686142-36963.1796861424
75187559192701.915677739-5142.9156777394
76187681230694.305318047-43013.3053180468
77119016220966.608409562-101950.608409562
78182192200773.697360098-18581.6973600977
797356689383.4580283285-15817.4580283285
80194979189657.3134677525321.68653224779
81167488175526.56928286-8038.56928285969
82143756221904.443110759-78148.4431107592
83275541241930.94017105433610.0598289464
84243199201838.70903356141360.2909664389
85182999245021.465489435-62022.4654894353
86135649205265.458430482-69616.4584304818
87152299167824.925480458-15525.9254804582
88120221131290.612263398-11069.6122633982
89346485258050.83627587688434.1637241241
90145790110022.07093610135767.9290638993
91193339223875.897229491-30536.8972294912
9280953106744.944070466-25791.9440704661
9312277490922.082770958331851.9172290417
94130585179441.823703275-48856.8237032746
95112611113170.698830995-559.698830995172
96286468165798.261208632120669.738791368
97241066206283.55696583134782.4430341688
98148446283701.323334328-135255.323334328
99204713166991.83667424637721.1633257538
100182079254825.884675299-72746.8846752992
101140344116661.71010096623682.2898990344
102220516205248.82113062415267.1788693763
103243060175388.40921368567671.5907863155
104162765188329.356861898-25564.3568618982
105182613210237.55867931-27624.5586793099
106232138281747.776720696-49609.7767206964
107265318277446.113428534-12128.1134285336
10885574103682.62133134-18108.6213313401
109310839268661.637598242177.3624018005
110225060236090.87558099-11030.8755809901
111232317258234.172522403-25917.1725224029
112144966130544.74089489814421.2591051023
1134328780021.8547928216-36734.8547928216
114155754150632.9337714095121.06622859136
115164709196161.872435091-31452.8724350911
116201940227577.274417157-25637.2744171569
117235454278859.933628492-43405.9336284923
118220801122121.66145795798679.3385420431
11999466161126.484811872-61660.4848118719
12092661104215.75923634-11554.7592363396
121133328130069.514410823258.48558918049
1226136172052.331222433-10691.331222433
12312593099686.456044609126243.5439553909
124100750216946.470937562-116196.470937562
125224549177721.62371781546827.3762821846
1268231671534.377429111810781.6225708882
12710201086818.872727793215191.1272722068
128101523144749.343860475-43226.3438604754
129243511280540.303063343-37029.3030633426
1302293830694.6752490335-7756.67524903353
1314156635816.05518993415749.94481006592
132152474218158.648972539-65684.648972539
1336185770216.1681080095-8359.16810800947
13499923121891.924756987-21968.9247569871
135132487175602.362330642-43115.3623306417
136317394237726.87974821679667.1202517835
1372105419618.50594921431435.4940507857
138209641165483.63874933544157.3612506648
1392264868455.7692164559-45807.7692164559
1403141454939.9436774253-23525.9436774253
1414669857756.8107946374-11058.8107946374
142131698142318.199566128-10620.1995661277
1439173560985.642826441830749.3571735582
144244749214976.46296550129772.537034499
145184510201355.745257694-16845.7452576939
1467986398084.3735092627-18221.3735092627
147128423154213.020019254-25790.0200192542
14897839122141.536650436-24302.536650436
1493821450605.204556729-12391.204556729
150151101163636.827000937-12535.8270009367
151272458241563.76823462130894.2317653787
152172494176859.061838686-4365.06183868617
153108043104374.4405573553668.55944264497
154328107275781.28140502652325.718594974
155250579270821.49620301-20242.4962030095
156351067332180.84766694418886.1523330556
157158015164592.672443018-6577.67244301767
1589886675431.785486740723434.2145132593
15985439122823.992661881-37384.992661881
160229242177007.79066460552234.2093353953
161351619238651.781167086112967.218832914
16284207126420.136546783-42213.1365467831
163120445103871.36450526616573.6354947339
164324598261856.66720117762741.3327988234
165131069141523.842737004-10454.8427370037
166204271210690.536828666-6419.5368286661
167165543171518.106080821-5975.10608082076
168141722113157.10028211928564.8997178806
169116048120322.839878169-4274.83987816934
170250047125483.266310993124563.733689007
171299775211907.42015753987867.5798424608
172195838236169.792983501-40331.7929835007
173173260113224.492134660035.5078654004
174254488261225.483290038-6737.48329003838
175104389289698.725101563-185309.725101563
17613608479110.894501886956973.1054981131
177199476222999.243084623-23523.2430846228
1789249983492.67343706979006.32656293032
179224330283905.075679571-59575.0756795712
180135781100680.70144698335100.2985530171
1817440873757.8373941359650.162605864126
18281240128814.471225617-47574.4712256171
1831468821590.7390024639-6902.73900246393
184181633146467.01896354135165.9810364594
185271856226434.96193465845421.0380653422
186719923363.1901089245-16164.1901089245
1874666039702.32746596476957.67253403533
1881754717972.8631993798-425.863199379754
18913336898053.06015776335314.9398422371
19095227127206.040525939-31979.0405259394
191152601138018.42019290214582.5798070984
1929814672421.212007363325724.7879926367
1937961990345.6167411224-10726.6167411224
1945919479670.6074882121-20476.6074882121
195139942140691.093119173-749.093119173334
196118612109450.5175144549161.48248554626
1977288073668.5135372968-788.513537296818
1986547582461.4964484811-16986.4964484811
19999643103712.464835425-4069.46483542542
2007196595628.8785841665-23663.8785841665
2017727277684.5223014514-412.522301451369
2024928978563.3842376623-29274.3842376623
20313513197913.276583681337217.7234163187
20410844687778.077402585220667.9225974148
2058974688218.8946348911527.10536510905
2064429668822.5715644454-24526.5715644454
2077764886786.7586866375-9138.75868663755
20818152895331.256814386686196.7431856134
20913401994423.463183764239595.5368162358
210124064111794.46344819912269.536551801
2119263066948.692963463225681.3070365368
21212184899002.204135848122845.7958641519
2135291578748.2626667926-25833.2626667926
2148187290465.9318925833-8593.93189258329
2155898171811.0830544511-12830.0830544511
2165351564400.3414535273-10885.3414535273
2176081276219.7749443468-15407.7749443468
2185637565032.7299340362-8657.72993403617
2196549081192.7886062626-15702.7886062626
2208094962757.939774876718191.0602251233
2217630295286.5976841857-18984.5976841858
222104011106593.319930985-2582.31993098528
22398104117745.658436269-19641.6584362694
2246798985909.245257751-17920.245257751
2253098952180.514684639-21191.514684639
22613545892776.542686644942681.4573133551
2277350466924.86242835126579.13757164879
2286312398792.1218606577-35669.1218606577
2296125485936.8526461153-24682.8526461153
23074914120820.048946657-45906.0489466568
2313177446437.0121702815-14663.0121702815
2328143792911.7310857808-11474.7310857808
2338718693207.3491716832-6021.3491716832
2345009071293.8303940987-21203.8303940987
2356574596329.4321251584-30584.4321251584
23656653100825.966229258-44172.9662292576
23715839985596.695166688472802.3048333116
2384645574437.2641139821-27982.2641139821
2397362486733.0588710137-13109.0588710137
2403839567698.8869272016-29303.8869272017
2419189976041.778385933615857.2216140663
242139526102508.1786207237017.8213792803
2435216486199.7567179939-34035.7567179939
2445156774403.9920622179-22836.9920622179
2457055179212.3716036563-8661.37160365628
2468485693931.3157573231-9075.3157573231
247102538116192.297944756-13654.2979447556
2488667866209.238443650920468.7615563491
2498570970261.283143047315447.7168569527
2503466259849.8286450115-25187.8286450115
251150580102114.83340699448465.1665930063
25299611116223.675487055-16612.6754870549
2531934932883.2249437577-13534.2249437577
2549937371239.941526830728133.0584731692
2558623076071.442456100410158.5575438996
2563083731866.2711504593-1029.27115045931
2573170671877.140010356-40171.140010356
2588980684750.2879333515055.71206664897
2596208863531.3633280564-1443.36332805636
2604015154040.6291737309-13889.6291737309
2612763447606.1348722436-19972.1348722436
26276990102251.41190639-25261.4119063899
2633746034283.42373682213176.57626317786
2645415790886.8788982363-36729.8788982363
2654986272916.6783065371-23054.6783065371
2668433792521.2654991852-8184.26549918515
2676417597416.9828456223-33241.9828456223
2685938279297.3352936095-19915.3352936095
26911930888852.807063619230455.1929363808
27076702110941.620631256-34239.620631256
27110342577709.337954228725715.6620457713
2727034477069.7901592817-6725.79015928166
2734341025570.930180201817839.0698197982
274104838107040.873520905-2202.87352090527
2756221567446.9948789569-5231.9948789569
27669304103025.94543808-33721.9454380796
2775311751905.26721330581211.73278669423
2781976431922.1515359274-12158.1515359274
2798668090476.2064445581-3796.20644455809
2808410572023.049749111812081.9502508882
2817794590188.1196794111-12243.1196794111
2828911392715.5868900394-3602.5868900394
2839100579740.737447743411264.2625522566
2844024833056.55653998837191.44346001174
2856418762251.97048490821935.02951509179
2865085781494.0769520021-30637.0769520021
2875661356264.9332368748348.066763125204
2886279285234.4596692661-22442.4596692661
2897253570052.67983246322482.32016753681


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.963327294949550.07334541010090010.0366727050504501
80.9257278718093110.1485442563813780.0742721281906888
90.8768804216105590.2462391567788810.123119578389441
100.8200440941594070.3599118116811870.179955905840593
110.7383029616453960.5233940767092070.261697038354604
120.8112905141448760.3774189717102490.188709485855124
130.7594717167886730.4810565664226540.240528283211327
140.6868834633467380.6262330733065230.313116536653262
150.620081660266080.759836679467840.37991833973392
160.5574093087869630.8851813824260740.442590691213037
170.4975217038845390.9950434077690770.502478296115461
180.4600968266524660.9201936533049320.539903173347534
190.4376140686085450.8752281372170890.562385931391455
200.612053406771480.775893186457040.38794659322852
210.6763611645409590.6472776709180820.323638835459041
220.6224309468283390.7551381063433230.377569053171661
230.9700738786147570.05985224277048560.0299261213852428
240.9581349330267860.08373013394642860.0418650669732143
250.9710654300221950.05786913995561030.0289345699778052
260.9904115224052270.01917695518954540.00958847759477271
270.9861806974085970.02763860518280550.0138193025914027
280.9827730935470080.03445381290598350.0172269064529917
290.9761683969191160.04766320616176880.0238316030808844
300.9675974782796420.06480504344071680.0324025217203584
310.9570187269243380.08596254615132390.0429812730756619
320.9441225344322650.1117549311354690.0558774655677346
330.9387014419795250.1225971160409510.0612985580204755
340.922338355504210.1553232889915790.0776616444957897
350.919341296166350.1613174076672990.0806587038336496
360.9272756436790660.1454487126418670.0727243563209337
370.9087922202359250.182415559528150.0912077797640751
380.9046413027178890.1907173945642210.0953586972821107
390.9805305419886440.03893891602271120.0194694580113556
400.977520857102780.04495828579443990.02247914289722
410.9707514236099740.0584971527800520.029248576390026
420.962226178988650.07554764202270060.0377738210113503
430.9535637455238040.09287250895239170.0464362544761958
440.9528895152924720.09422096941505510.0471104847075275
450.9493446724478090.1013106551043820.0506553275521909
460.936997072360070.126005855279860.0630029276399298
470.9299415605036360.1401168789927280.070058439496364
480.914287699481440.171424601037120.0857123005185601
490.8971647607724370.2056704784551250.102835239227563
500.8797055793766480.2405888412467040.120294420623352
510.9940340652235080.01193186955298460.00596593477649228
520.9921492897966910.01570142040661790.00785071020330896
530.9916068228895130.01678635422097340.00839317711048669
540.9889502946426250.02209941071475070.0110497053573754
550.9902235773224040.01955284535519140.0097764226775957
560.9877638051840330.02447238963193330.0122361948159666
570.9849806073024480.03003878539510360.0150193926975518
580.996442668064460.007114663871079640.00355733193553982
590.9954114781084320.009177043783136040.00458852189156802
600.9939691570525860.01206168589482840.00603084294741422
610.9928775573225930.0142448853548140.007122442677407
620.9914190227999880.01716195440002460.0085809772000123
630.9984558538223710.003088292355258030.00154414617762901
640.9979858515430750.004028296913849560.00201414845692478
650.9974259153052960.005148169389408950.00257408469470448
660.9968412083071280.006317583385743410.0031587916928717
670.9960796411440770.007840717711846040.00392035885592302
680.9952935692800230.009412861439953760.00470643071997688
690.9949849826628940.01003003467421210.00501501733710606
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1780.9999999999996536.93434897732659e-133.4671744886633e-13
1790.9999999999999381.23982529073909e-136.19912645369547e-14
1800.9999999999999431.14111334689007e-135.70556673445036e-14
1810.9999999999998832.33070753030257e-131.16535376515128e-13
1820.9999999999999558.93727754700695e-144.46863877350347e-14
1830.9999999999999091.81294913253834e-139.06474566269169e-14
1840.9999999999999121.75091147568104e-138.75455737840522e-14
1850.9999999999999627.55964968191921e-143.7798248409596e-14
1860.9999999999999371.25809070121539e-136.29045350607695e-14
1870.9999999999998742.52953951056958e-131.26476975528479e-13
1880.999999999999745.19572724299373e-132.59786362149687e-13
1890.9999999999998023.95938097861318e-131.97969048930659e-13
1900.9999999999996916.1749878527936e-133.0874939263968e-13
1910.9999999999994691.06210464999024e-125.3105232499512e-13
1920.9999999999993991.20149890916272e-126.00749454581358e-13
1930.9999999999988222.35553146303364e-121.17776573151682e-12
1940.999999999997924.16058744647731e-122.08029372323866e-12
1950.9999999999958118.37863237131535e-124.18931618565767e-12
1960.9999999999924581.50832024502687e-117.54160122513436e-12
1970.9999999999852492.95023379693936e-111.47511689846968e-11
1980.9999999999787214.25583502095454e-112.12791751047727e-11
1990.9999999999584088.31843424704397e-114.15921712352199e-11
2000.9999999999419691.16062847760138e-105.80314238800692e-11
2010.9999999998875962.24808516423651e-101.12404258211826e-10
2020.999999999823373.532602669649e-101.7663013348245e-10
2030.9999999998762562.47487923997679e-101.2374396199884e-10
2040.999999999817143.65720605143025e-101.82860302571513e-10
2050.999999999660266.79480524527535e-103.39740262263768e-10
2060.9999999994743811.05123867886282e-095.25619339431412e-10
2070.9999999990013461.99730847431772e-099.98654237158862e-10
2080.9999999999908281.83433221428792e-119.17166107143962e-12
2090.9999999999965626.87556276302458e-123.43778138151229e-12
2100.9999999999959348.13095510434563e-124.06547755217282e-12
2110.9999999999959058.19054473463582e-124.09527236731791e-12
2120.9999999999965886.8231096204718e-123.4115548102359e-12
2130.9999999999945111.09784837330751e-115.48924186653756e-12
2140.9999999999883222.33551285765462e-111.16775642882731e-11
2150.9999999999791664.16689672331889e-112.08344836165945e-11
2160.9999999999579158.41690817494393e-114.20845408747197e-11
2170.9999999999162021.67595897969534e-108.37979489847668e-11
2180.9999999998408183.18363598695478e-101.59181799347739e-10
2190.9999999996827616.34477818980884e-103.17238909490442e-10
2200.9999999995263449.47312388453012e-104.73656194226506e-10
2210.9999999990991381.80172313992786e-099.00861569963929e-10
2220.999999998166663.66668044327171e-091.83334022163585e-09
2230.9999999964125267.17494793304286e-093.58747396652143e-09
2240.9999999935681761.28636474756275e-086.43182373781375e-09
2250.9999999900011581.99976846382303e-089.99884231911516e-09
2260.9999999986569142.68617188688919e-091.34308594344459e-09
2270.9999999974949445.01011209389981e-092.5050560469499e-09
2280.9999999967995966.40080801249479e-093.2004040062474e-09
2290.9999999937862821.24274356725926e-086.21371783629628e-09
2300.9999999971128465.77430832739599e-092.887154163698e-09
2310.9999999954324939.1350143251171e-094.56750716255855e-09
2320.9999999906763781.86472439448051e-089.32362197240257e-09
2330.9999999810430513.7913898544012e-081.8956949272006e-08
2340.9999999719494085.61011837478658e-082.80505918739329e-08
2350.9999999714026255.71947503413068e-082.85973751706534e-08
2360.9999999724568915.50862175939619e-082.7543108796981e-08
2370.9999999995796248.40751730668558e-104.20375865334279e-10
2380.9999999993873121.22537528053987e-096.12687640269933e-10
2390.9999999985914932.8170134322873e-091.40850671614365e-09
2400.9999999986086232.782753161151e-091.3913765805755e-09
2410.999999997410625.17876074883336e-092.58938037441668e-09
2420.9999999988529472.29410678052001e-091.14705339026e-09
2430.9999999985125742.97485137363838e-091.48742568681919e-09
2440.9999999976280544.7438915244358e-092.3719457622179e-09
2450.999999994420091.11598203837648e-085.57991019188241e-09
2460.9999999868802642.62394712269778e-081.31197356134889e-08
2470.9999999714941695.70116625643646e-082.85058312821823e-08
2480.9999999526480049.47039918933168e-084.73519959466584e-08
2490.9999999362347071.27530586239869e-076.37652931199346e-08
2500.9999998927839672.14432065925707e-071.07216032962853e-07
2510.9999999927947461.44105074236417e-087.20525371182085e-09
2520.999999981644373.67112590627185e-081.83556295313592e-08
2530.9999999609441767.81116483696221e-083.9055824184811e-08
2540.9999999720810395.58379220528992e-082.79189610264496e-08
2550.9999999538767599.22464812263181e-084.6123240613159e-08
2560.9999998829811252.34037750585358e-071.17018875292679e-07
2570.9999999375256851.2494863068825e-076.2474315344125e-08
2580.9999998839038582.32192283868292e-071.16096141934146e-07
2590.9999997006103155.98779370469481e-072.99389685234741e-07
2600.9999993773314861.24533702878462e-066.22668514392311e-07
2610.9999991607065741.67858685278741e-068.39293426393704e-07
2620.9999980253492293.94930154139544e-061.97465077069772e-06
2630.9999950958747269.80825054891039e-064.90412527445519e-06
2640.9999948068139651.03863720697107e-055.19318603485534e-06
2650.9999917722237221.6455552556011e-058.22777627800549e-06
2660.9999791302797244.17394405512385e-052.08697202756193e-05
2670.9999733449343725.33101312561049e-052.66550656280524e-05
2680.9999505812830329.88374339349817e-054.94187169674909e-05
2690.9999869160370672.61679258662609e-051.30839629331304e-05
2700.999981152058413.76958831793098e-051.88479415896549e-05
2710.9999944076644681.11846710640389e-055.59233553201946e-06
2720.9999810469388623.79061222754834e-051.89530611377417e-05
2730.9999482673100790.0001034653798413135.17326899206563e-05
2740.9998815978178080.0002368043643839880.000118402182191994
2750.9996250342542460.000749931491508960.00037496574575448
2760.9995306127921530.0009387744156944080.000469387207847204
2770.9985530715886480.002893856822704460.00144692841135223
2780.9983877995472940.003224400905412570.00161220045270628
2790.994611325798820.01077734840235950.00538867420117975
2800.9932988986354950.01340220272901020.0067011013645051
2810.9769703969733710.0460592060532590.0230296030266295
2820.9370957584093430.1258084831813130.0629042415906566


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2100.760869565217391NOK
5% type I error level2370.858695652173913NOK
10% type I error level2470.894927536231884NOK