Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 522.918085028905 -80.7982303933677X[t] + 0.389747913943074Y1[t] + 0.172724627545124Y2[t] + 0.0359567363109739Y3[t] + 0.0354648834548642Y4[t] + 188.662307824867M1[t] + 104.987349633496M2[t] + 181.667324587968M3[t] + 176.541027973435M4[t] + 208.395663285797M5[t] + 324.64288106546M6[t] + 458.312477153942M7[t] + 471.425528086186M8[t] -54.2481744163299M9[t] -111.187507110586M10[t] + 86.6003491334288M11[t] -0.767119250424237t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)522.918085028905164.861573.17190.0017970.000899
X-80.798230393367738.149531-2.11790.0356340.017817
Y10.3897479139430740.0767195.08021e-060
Y20.1727246275451240.0821272.10310.0369250.018463
Y30.03595673631097390.0819030.4390.6612060.330603
Y40.03546488345486420.0751740.47180.6376970.318849
M1188.66230782486756.5212583.33790.0010370.000519
M2104.98734963349663.6515671.64940.1009110.050455
M3181.66732458796863.2337672.87290.0045850.002293
M4176.54102797343568.2895052.58520.0105710.005286
M5208.39566328579762.6406013.32680.0010760.000538
M6324.6428810654666.3752764.8912e-061e-06
M7458.31247715394265.9366286.950800
M8471.42552808618673.3054386.43100
M9-54.248174416329980.31085-0.67550.500290.250145
M10-111.18750711058677.361225-1.43730.1524850.076242
M1186.600349133428862.448111.38680.1673320.083666
t-0.7671192504242370.256233-2.99380.0031660.001583


Multiple Linear Regression - Regression Statistics
Multiple R0.909113674036662
R-squared0.82648767232044
Adjusted R-squared0.809136439552483
F-TEST (value)47.6327926305489
F-TEST (DF numerator)17
F-TEST (DF denominator)170
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation127.324879886795
Sum Squared Residuals2755976.25649176


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116321624.962164870317.03783512969226
215111609.33124673722-98.3312467372175
315591676.32540114441-117.325401144406
416301672.79480330307-42.7948033030729
515791744.25426449686-165.254264496858
616531849.55534041559-196.555340415592
721522006.74544956455145.254550435451
821482227.04142591574-79.0414259157364
917521786.08329108286-34.0832910828553
1017651593.91257950137171.087420498627
1117171745.15423676709-28.1542367670882
1215581626.94356155909-68.9435615590894
1315751731.00139341833-156.001393418334
1415201624.45693487588-104.456934875882
1518051674.45053850205130.549461497950
1618001765.1077716438534.8922283561497
1717191842.09834950806-123.098349508062
1820081933.4423451288074.5576548712037
1922422174.9189823683367.0810176316715
2024782325.29352321490152.706476785095
2120301938.7696132321291.2303867678834
2216551765.88233555681-110.882335556812
2316931756.15154417936-63.1515441793628
2416231611.0838558239611.9161441760431
2518051748.8881823647156.111817635295
2617461711.3565260166334.6434739833669
2717951794.540831040770.459168959230808
2819261801.61589410062124.384105899383
2916191896.55705498525-277.557054985246
3019921914.6809220977777.3190779022267
3122332146.3810219262786.6189780737299
3221922310.68966862782-118.689668627819
3320801812.41996106494267.580038935061
3417681725.8740080088942.1259919911072
3518351789.0210482910645.9789517089369
3615691668.39539165884-99.395391658839
3719761748.99961649398227.000383506021
3818531768.5842467949384.4157532050709
3919651859.6686878276105.331312172398
4016891881.38264181579-192.382641815791
4117781834.25642091437-56.2564209143736
4219761936.4170603839739.5829396160272
4323972155.91012375939241.089876240609
4426542359.95124516331294.048754836687
4520972016.6685139073080.3314860927041
4619631808.42253608640154.577463913597
4716771881.18103223541-204.181032235406
4819411648.28713329548292.712866704525
4920031865.10438492295137.895615077045
5018131835.39005884965-22.3900588496519
5120121847.30935953032164.690640469680
5219121897.7501461898314.2498538101749
5320841919.60211461405164.397885385949
5420802085.26345425645-5.26345425644624
5521182249.77741355291-131.777413552913
5621502278.88093775439-128.88093775439
5716081777.43171810334-169.431718103336
5815031515.23358132895-12.2335813289512
5915481580.21232036230-32.2123203622983
6013821473.89374740365-91.8937474036534
6117311581.86596635789149.134033642112
6217981602.66786308097195.332136919032
6317791760.6018255603018.3981744397026
6418871765.53747969497121.462520305033
6520041850.22234819798153.777651802018
6620772031.65018163545.3498183649984
6720922216.42253234963-124.422532349626
6820512255.26072611289-204.260726112894
6915771722.20534241639-145.205342416386
7013561475.80495707021-119.804957070208
7116521503.87767868906148.122321310936
7213821475.20589691184-93.2058969118374
7315191584.23884499268-65.2388449926761
7414211509.36203702842-88.3620370284215
7514421571.53215783841-129.532157838408
7615431552.24698900862-9.2469890086225
7716561627.661190432128.3388095679010
7815611801.90752350292-240.907523502917
7919051921.67822434894-16.6782243489416
8021992059.33366324247139.666336757527
8114731707.48764194518-234.487641945176
8216551426.60519833885228.394801661146
8314071591.93317645622-184.933176456224
8413951423.66619280166-28.666192801664
8515301544.84531939797-14.8453193979652
8613091508.48385299161-199.483852991607
8715261512.3534725002913.6465274997104
8813271557.29179207403-230.29179207403
8916271545.1420379802781.8579620197308
9017481743.139182346914.86081765309311
9119581975.55903421944-17.5590342194350
9222742094.38121684803179.618783151966
9316481742.36313781567-94.3631378156688
9414011507.09763957023-106.097639570226
9514111518.53497917642-107.534979176420
9614031381.0999931694221.9000068305806
9713941536.52211379621-142.522113796213
9815201438.7902492583381.2097507416726
9915281562.32381541536-34.3238154153577
10016431580.7043562381962.2956437618072
10115151662.20604424803-147.206044248034
10216851752.41797116605-67.4179711660492
10320001933.8875847920566.1124152079459
10422152097.84329539812117.156704601882
10519561711.17967291030244.820327089704
10614621607.01970830184-145.019708301844
10715631585.67143386851-22.6714338685113
10814591450.654694023878.34530597612882
10914461588.51325437786-142.513254377861
11016221467.15307073082154.846929269182
11116571609.2585917833647.7414082166392
11216381643.25010190300-5.25010190300413
11316431678.84511166992-35.8451116699208
11416831800.49248710446-117.492487104458
11520501950.4065965689899.5934034310243
11622622112.20494866562149.795051334379
11718131733.3962168473979.603783152614
11814451551.92529014615-106.925290146154
11917621548.60387736679213.396122633205
12014611512.59781545509-51.5978154550942
12115561608.77677723080-52.7767772308038
12214311507.71784702171-76.7178470217067
12314271551.74044352525-124.740443525246
12415541515.4384175910038.5615824089955
12516451594.2075921028750.7924078971276
12616531762.51384112206-109.513841122060
12720161918.6768883559497.3231116440577
12822072081.65921302252125.340786977475
12916651695.87424091647-30.8742409164725
13013611473.25083782429-112.250837824287
13115061477.9129501792428.0870498207617
13213601381.83588420274-21.8358842027445
13314531507.72013366447-54.7201336644692
13415221428.7392187926093.2607812073961
13514601547.50079551997-87.500795519974
13615521527.5271117836724.4728882163302
13715481589.54175798733-41.541757987332
13818271719.57128990206107.428710097945
13917371961.63173318646-224.631733186458
14019411990.20946603109-49.2094660310937
14114741537.62207214042-63.6220721404223
14214581339.79776461945118.202235380549
14315421454.0634686228887.9365313771192
14414041387.1142713370916.8857286629086
14515221518.595708146783.40429185321661
14613851458.76081366389-73.7608136638874
14716411499.67673180735141.323268192647
14815101569.24424890606-59.2442489060646
14916811592.7510762660888.2489237339183
15019381756.59737733347181.402622666532
15118682023.56965707282-155.569657072819
15217262054.52616623431-328.526166234309
15314561475.95579307600-19.9557930759967
15414451295.08801076141149.911989238589
15514561433.5974728664522.4025271335545
15613651333.8729283784231.1270716215838
15714871478.229985054808.7700149451982
15815581425.62462238887132.375377611128
15914881547.40003525709-59.4000352570887
16016841527.64713140737156.352868592634
16115941629.91415873356-35.91415873356
16218501744.17200719029105.827992809706
16319981965.8697119938332.1302880061727
16420792083.83085047994-4.83085047993892
16514941620.53593961774-126.535939617738
16610571282.42002959262-225.420029592616
16712181216.238319471701.76168052830480
16811681097.9775678133870.0224321866176
16912361257.73397513645-21.7339751364453
17010761181.44940494181-105.449404941814
17111741210.65987850872-36.659878508723
17211391215.99763169937-76.9976316993702
17314271247.02951853790179.970481462103
17414871466.5610331243620.4389668756409
17514831674.81015033969-191.810150339689
17615131705.07483715508-192.074837155084
17713571202.00684492392154.993155076085
17811651090.6655232925274.334476707483
17912821186.8464614675195.1535385324919
18011101107.371066165462.62893383453497
18112971236.0021797738160.9978202261871
18211851192.13200682666-7.13200682666083
18312221254.65743423875-32.6574342387546
18412841244.4634826405539.5365173594474
18514441308.71095932536135.289040674639
18615751494.6179832898580.3820167101494
18717371709.7548956007827.2451043992194
18817631815.81881613375-52.8188161337465


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.8016492668011580.3967014663976840.198350733198842
220.7228217753356120.5543564493287770.277178224664388
230.6785323575887340.6429352848225330.321467642411266
240.5679789227661470.8640421544677050.432021077233853
250.4490784278374440.8981568556748880.550921572162556
260.3686115901088470.7372231802176950.631388409891153
270.3344753676919530.6689507353839060.665524632308047
280.2534019305198960.5068038610397910.746598069480105
290.3846916391049420.7693832782098830.615308360895058
300.3034946659246770.6069893318493550.696505334075323
310.3156191791871610.6312383583743220.684380820812839
320.4108515903987280.8217031807974570.589148409601272
330.3675715824295520.7351431648591050.632428417570448
340.3084593527086260.6169187054172520.691540647291374
350.2451489067367430.4902978134734860.754851093263257
360.2898301591335210.5796603182670420.710169840866479
370.3175729398729160.6351458797458320.682427060127084
380.2748645219073150.549729043814630.725135478092685
390.2312150726641150.4624301453282310.768784927335885
400.3948002311630540.7896004623261070.605199768836946
410.3387799568673540.6775599137347090.661220043132646
420.2910086162552530.5820172325105050.708991383744747
430.2741187046947510.5482374093895020.725881295305249
440.372191420537360.744382841074720.62780857946264
450.3300695948350560.6601391896701120.669930405164944
460.3042311984943520.6084623969887030.695768801505648
470.3820380020461890.7640760040923790.61796199795381
480.4841639967727970.9683279935455940.515836003227203
490.4755416042674040.9510832085348090.524458395732596
500.4426660845942390.8853321691884780.557333915405761
510.4378597840646750.875719568129350.562140215935325
520.3965443556270430.7930887112540860.603455644372957
530.4639825133802650.927965026760530.536017486619735
540.4228629944859520.8457259889719030.577137005514048
550.6614372024275550.6771255951448910.338562797572445
560.8400852024202990.3198295951594020.159914797579701
570.9508020218811350.09839595623772960.0491979781188648
580.9500359044238080.09992819115238360.0499640955761918
590.936445100935460.1271097981290790.0635548990645394
600.9357217396241350.1285565207517300.0642782603758652
610.9341030660988460.1317938678023070.0658969339011536
620.949431706552320.1011365868953600.0505682934476802
630.9451727729023040.1096544541953920.0548272270976961
640.9477000952913480.1045998094173040.0522999047086518
650.965892226528350.06821554694329850.0341077734716493
660.9688295602158070.06234087956838670.0311704397841934
670.9814587322191560.03708253556168740.0185412677808437
680.9864258616237350.02714827675252930.0135741383762647
690.9861492419969650.02770151600607030.0138507580030352
700.9847405393831280.03051892123374420.0152594606168721
710.987304944556210.02539011088758010.0126950554437900
720.9861942947899930.02761141042001430.0138057052100071
730.9852918095984910.02941638080301720.0147081904015086
740.981995498947730.03600900210454080.0180045010522704
750.9808923586563040.03821528268739190.0191076413436960
760.9748087723939330.05038245521213390.0251912276060670
770.9692512258716540.0614975482566910.0307487741283455
780.9829441039034690.03411179219306290.0170558960965314
790.9775147104450060.04497057910998890.0224852895549944
800.98001176091570.03997647816859810.0199882390842990
810.9881644371108360.02367112577832730.0118355628891637
820.9939947513514320.01201049729713630.00600524864856816
830.9951508600403350.009698279919329370.00484913995966469
840.9933259220417750.01334815591644990.00667407795822497
850.9914255843432310.01714883131353710.00857441565676853
860.9948703755188820.01025924896223570.00512962448111783
870.993018938022790.01396212395442070.00698106197721033
880.9967868761003820.006426247799236310.00321312389961816
890.9963754773614720.00724904527705540.0036245226385277
900.995376381020420.009247237959157950.00462361897957897
910.9937424339516550.01251513209669080.00625756604834539
920.9961200102397230.007759979520553170.00387998976027658
930.995293580438050.009412839123902630.00470641956195132
940.9944862877970780.01102742440584410.00551371220292203
950.994102965765670.01179406846865960.00589703423432981
960.9923674283481860.01526514330362750.00763257165181375
970.9934006227634080.01319875447318350.00659937723659175
980.991774920359590.01645015928082140.00822507964041072
990.989027569114610.02194486177078140.0109724308853907
1000.98634436050740.02731127898519880.0136556394925994
1010.9890796445574930.0218407108850150.0109203554425075
1020.988050850058130.0238982998837390.0119491499418695
1030.9845631232457920.0308737535084160.015436876754208
1040.9829051660127480.03418966797450380.0170948339872519
1050.9944455094897330.01110898102053480.00555449051026739
1060.9937231782098410.01255364358031830.00627682179015915
1070.9912654227447440.01746915451051180.00873457725525589
1080.988246372239390.02350725552121910.0117536277606096
1090.9894139433418850.02117211331622940.0105860566581147
1100.990865121378140.01826975724372210.00913487862186103
1110.9890050695458280.02198986090834390.0109949304541720
1120.985051717409920.02989656518015850.0149482825900792
1130.9798696205286630.04026075894267430.0201303794713371
1140.9813057461082310.03738850778353740.0186942538917687
1150.9812145637441040.03757087251179150.0187854362558958
1160.989104710543480.02179057891303870.0108952894565194
1170.9924981558433490.01500368831330230.00750184415665114
1180.9908077448497140.01838451030057230.00919225515028616
1190.9976444863598440.004711027280311840.00235551364015592
1200.9966494417671960.006701116465607070.00335055823280353
1210.9955071549400870.008985690119825010.00449284505991251
1220.993945671845680.01210865630864040.00605432815432019
1230.9927710325482350.01445793490353000.00722896745176501
1240.990126738860970.01974652227805830.00987326113902914
1250.9869431026202150.02611379475957020.0130568973797851
1260.98989508081680.02020983836639880.0101049191831994
1270.9937900620505420.01241987589891640.00620993794945819
1280.9992684640227580.001463071954483230.000731535977241616
1290.9996382527493880.0007234945012246580.000361747250612329
1300.9995328192553450.0009343614893092450.000467180744654623
1310.999323176376330.001353647247337800.000676823623668898
1320.998910651746340.002178696507321710.00108934825366086
1330.9983242829969340.003351434006131370.00167571700306568
1340.9988108505381470.002378298923705310.00118914946185266
1350.9981330765327480.00373384693450340.0018669234672517
1360.9977032221621970.004593555675605560.00229677783780278
1370.9963996511423260.007200697715347080.00360034885767354
1380.9950807480887380.009838503822524640.00491925191126232
1390.9954273539756710.009145292048657340.00457264602432867
1400.994639726173890.01072054765221770.00536027382610884
1410.99199433414740.01601133170519920.00800566585259961
1420.991150431206840.01769913758631820.0088495687931591
1430.991268340550110.01746331889978090.00873165944989044
1440.9875382763183240.02492344736335170.0124617236816759
1450.9851346396522060.02973072069558820.0148653603477941
1460.9781627644157360.04367447116852730.0218372355842636
1470.990834749581750.01833050083650010.00916525041825007
1480.9858162179653030.02836756406939410.0141837820346971
1490.9843032058840680.03139358823186480.0156967941159324
1500.9982785513035540.00344289739289210.00172144869644605
1510.9970684058115040.005863188376991590.00293159418849580
1520.9981092763578130.003781447284373380.00189072364218669
1530.9968034485494280.006393102901144480.00319655145057224
1540.9952663686729860.009467262654027150.00473363132701357
1550.9955492616512730.008901476697454170.00445073834872708
1560.9918215639787250.01635687204255090.00817843602127547
1570.9852645985170040.02947080296599200.0147354014829960
1580.9752156235517640.04956875289647270.0247843764482364
1590.9566488579750460.08670228404990790.0433511420249539
1600.9800517422216550.03989651555669050.0199482577783453
1610.9755125167426580.04897496651468340.0244874832573417
1620.952897259310870.0942054813782590.0471027406891295
1630.9350419532825260.1299160934349490.0649580467174743
1640.9595678882478080.08086422350438360.0404321117521918
1650.9137467658777670.1725064682444670.0862532341222334
1660.8268312710697080.3463374578605840.173168728930292
1670.7572851461861840.4854297076276310.242714853813816


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level270.183673469387755NOK
5% type I error level920.625850340136054NOK
10% type I error level1010.687074829931973NOK