Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 1717.75147928994 -396.055827116028X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1717.7514792899420.00033485.886100
X-396.05582711602857.786173-6.853800


Multiple Linear Regression - Regression Statistics
Multiple R0.445226892939612
R-squared0.198226986196661
Adjusted R-squared0.194007128229275
F-TEST (value)46.9748005095663
F-TEST (DF numerator)1
F-TEST (DF denominator)190
p-value9.762957109416e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation260.004336317031
Sum Squared Residuals12844428.4316954


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116871717.75147928992-30.7514792899202
215081717.75147928994-209.751479289942
315071717.75147928994-210.751479289941
413851717.75147928994-332.751479289941
516321717.75147928994-85.751479289941
615111717.75147928994-206.751479289941
715591717.75147928994-158.751479289941
816301717.75147928994-87.751479289941
915791717.75147928994-138.751479289941
1016531717.75147928994-64.751479289941
1121521717.75147928994434.248520710059
1221481717.75147928994430.248520710059
1317521717.7514792899434.2485207100591
1417651717.7514792899447.2485207100591
1517171717.75147928994-0.751479289940944
1615581717.75147928994-159.751479289941
1715751717.75147928994-142.751479289941
1815201717.75147928994-197.751479289941
1918051717.7514792899487.248520710059
2018001717.7514792899482.248520710059
2117191717.751479289941.24852071005906
2220081717.75147928994290.248520710059
2322421717.75147928994524.248520710059
2424781717.75147928994760.248520710059
2520301717.75147928994312.248520710059
2616551717.75147928994-62.751479289941
2716931717.75147928994-24.7514792899409
2816231717.75147928994-94.751479289941
2918051717.7514792899487.248520710059
3017461717.7514792899428.2485207100591
3117951717.7514792899477.2485207100591
3219261717.75147928994208.248520710059
3316191717.75147928994-98.751479289941
3419921717.75147928994274.248520710059
3522331717.75147928994515.248520710059
3621921717.75147928994474.248520710059
3720801717.75147928994362.248520710059
3817681717.7514792899450.2485207100591
3918351717.75147928994117.248520710059
4015691717.75147928994-148.751479289941
4119761717.75147928994258.248520710059
4218531717.75147928994135.248520710059
4319651717.75147928994247.248520710059
4416891717.75147928994-28.7514792899409
4517781717.7514792899460.2485207100591
4619761717.75147928994258.248520710059
4723971717.75147928994679.248520710059
4826541717.75147928994936.248520710059
4920971717.75147928994379.248520710059
5019631717.75147928994245.248520710059
5116771717.75147928994-40.7514792899409
5219411717.75147928994223.248520710059
5320031717.75147928994285.248520710059
5418131717.7514792899495.248520710059
5520121717.75147928994294.248520710059
5619121717.75147928994194.248520710059
5720841717.75147928994366.248520710059
5820801717.75147928994362.248520710059
5921181717.75147928994400.248520710059
6021501717.75147928994432.248520710059
6116081717.75147928994-109.751479289941
6215031717.75147928994-214.751479289941
6315481717.75147928994-169.751479289941
6413821717.75147928994-335.751479289941
6517311717.7514792899413.2485207100591
6617981717.7514792899480.248520710059
6717791717.7514792899461.2485207100591
6818871717.75147928994169.248520710059
6920041717.75147928994286.248520710059
7020771717.75147928994359.248520710059
7120921717.75147928994374.248520710059
7220511717.75147928994333.248520710059
7315771717.75147928994-140.751479289941
7413561717.75147928994-361.751479289941
7516521717.75147928994-65.7514792899409
7613821717.75147928994-335.751479289941
7715191717.75147928994-198.751479289941
7814211717.75147928994-296.751479289941
7914421717.75147928994-275.751479289941
8015431717.75147928994-174.751479289941
8116561717.75147928994-61.7514792899409
8215611717.75147928994-156.751479289941
8319051717.75147928994187.248520710059
8421991717.75147928994481.248520710059
8514731717.75147928994-244.751479289941
8616551717.75147928994-62.751479289941
8714071717.75147928994-310.751479289941
8813951717.75147928994-322.751479289941
8915301717.75147928994-187.751479289941
9013091717.75147928994-408.751479289941
9115261717.75147928994-191.751479289941
9213271717.75147928994-390.751479289941
9316271717.75147928994-90.751479289941
9417481717.7514792899430.2485207100591
9519581717.75147928994240.248520710059
9622741717.75147928994556.248520710059
9716481717.75147928994-69.7514792899409
9814011717.75147928994-316.751479289941
9914111717.75147928994-306.751479289941
10014031717.75147928994-314.751479289941
10113941717.75147928994-323.751479289941
10215201717.75147928994-197.751479289941
10315281717.75147928994-189.751479289941
10416431717.75147928994-74.7514792899409
10515151717.75147928994-202.751479289941
10616851717.75147928994-32.7514792899409
10720001717.75147928994282.248520710059
10822151717.75147928994497.248520710059
10919561717.75147928994238.248520710059
11014621717.75147928994-255.751479289941
11115631717.75147928994-154.751479289941
11214591717.75147928994-258.751479289941
11314461717.75147928994-271.751479289941
11416221717.75147928994-95.751479289941
11516571717.75147928994-60.7514792899409
11616381717.75147928994-79.751479289941
11716431717.75147928994-74.7514792899409
11816831717.75147928994-34.7514792899409
11920501717.75147928994332.248520710059
12022621717.75147928994544.248520710059
12118131717.7514792899495.248520710059
12214451717.75147928994-272.751479289941
12317621717.7514792899444.2485207100591
12414611717.75147928994-256.751479289941
12515561717.75147928994-161.751479289941
12614311717.75147928994-286.751479289941
12714271717.75147928994-290.751479289941
12815541717.75147928994-163.751479289941
12916451717.75147928994-72.7514792899409
13016531717.75147928994-64.751479289941
13120161717.75147928994298.248520710059
13222071717.75147928994489.248520710059
13316651717.75147928994-52.7514792899409
13413611717.75147928994-356.751479289941
13515061717.75147928994-211.751479289941
13613601717.75147928994-357.751479289941
13714531717.75147928994-264.751479289941
13815221717.75147928994-195.751479289941
13914601717.75147928994-257.751479289941
14015521717.75147928994-165.751479289941
14115481717.75147928994-169.751479289941
14218271717.75147928994109.248520710059
14317371717.7514792899419.2485207100591
14419411717.75147928994223.248520710059
14514741717.75147928994-243.751479289941
14614581717.75147928994-259.751479289941
14715421717.75147928994-175.751479289941
14814041717.75147928994-313.751479289941
14915221717.75147928994-195.751479289941
15013851717.75147928994-332.751479289941
15116411717.75147928994-76.7514792899409
15215101717.75147928994-207.751479289941
15316811717.75147928994-36.7514792899409
15419381717.75147928994220.248520710059
15518681717.75147928994150.248520710059
15617261717.751479289948.24852071005906
15714561717.75147928994-261.751479289941
15814451717.75147928994-272.751479289941
15914561717.75147928994-261.751479289941
16013651717.75147928994-352.751479289941
16114871717.75147928994-230.751479289941
16215581717.75147928994-159.751479289941
16314881717.75147928994-229.751479289941
16416841717.75147928994-33.7514792899409
16515941717.75147928994-123.751479289941
16618501717.75147928994132.248520710059
16719981717.75147928994280.248520710059
16820791717.75147928994361.248520710059
16914941717.75147928994-223.751479289941
17010571321.69565217391-264.695652173913
17112181321.69565217391-103.695652173913
17211681321.69565217391-153.695652173913
17312361321.69565217391-85.695652173913
17410761321.69565217391-245.695652173913
17511741321.69565217391-147.695652173913
17611391321.69565217391-182.695652173913
17714271321.69565217391105.304347826087
17814871321.69565217391165.304347826087
17914831321.69565217391161.304347826087
18015131321.69565217391191.304347826087
18113571321.6956521739135.304347826087
18211651321.69565217391-156.695652173913
18312821321.69565217391-39.695652173913
18411101321.69565217391-211.695652173913
18512971321.69565217391-24.6956521739130
18611851321.69565217391-136.695652173913
18712221321.69565217391-99.695652173913
18812841321.69565217391-37.695652173913
18914441321.69565217391122.304347826087
19015751321.69565217391253.304347826087
19117371321.69565217391415.304347826087
19217631321.69565217391441.304347826087


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.1559308029189450.3118616058378900.844069197081055
60.06649352737734470.1329870547546890.933506472622655
70.02567383314294040.05134766628588070.97432616685706
80.01221739680733030.02443479361466060.98778260319267
90.004379978104602910.008759956209205820.995620021895397
100.002240159817864130.004480319635728260.997759840182136
110.2235801583455500.4471603166911010.77641984165445
120.5039813540008240.992037291998350.496018645999176
130.4208412053123040.8416824106246090.579158794687696
140.3453656525640860.6907313051281720.654634347435914
150.2700182093786310.5400364187572620.729981790621369
160.2190644244158520.4381288488317040.780935575584148
170.1710750448748180.3421500897496370.828924955125181
180.1407115265465930.2814230530931850.859288473453407
190.1140922425588580.2281844851177170.885907757441142
200.09007928733986680.1801585746797340.909920712660133
210.06388476436807580.1277695287361520.936115235631924
220.08828604303362040.1765720860672410.91171395696638
230.2540366087170370.5080732174340740.745963391282963
240.7041345159405080.5917309681189840.295865484059492
250.7099494063259890.5801011873480230.290050593674011
260.6617327503331530.6765344993336940.338267249666847
270.60652227047790.78695545904420.3934777295221
280.5597189438136960.8805621123726080.440281056186304
290.5037375415697180.9925249168605630.496262458430282
300.4449608348989570.8899216697979150.555039165101043
310.3901828560403290.7803657120806580.609817143959671
320.3621281127465610.7242562254931220.637871887253439
330.3227248265256100.6454496530512190.67727517347439
340.3184699397357430.6369398794714860.681530060264257
350.4475027759995330.8950055519990660.552497224000467
360.5401905183494390.9196189633011230.459809481650561
370.5622945098448040.8754109803103930.437705490155196
380.5106860002932690.9786279994134620.489313999706731
390.4622777891552320.9245555783104640.537722210844768
400.4432414467682050.886482893536410.556758553231795
410.4257386735252520.8514773470505040.574261326474748
420.3820739067215540.7641478134431070.617926093278446
430.3620115673263830.7240231346527670.637988432673617
440.3219927317477250.643985463495450.678007268252275
450.2794282905145570.5588565810291140.720571709485443
460.2656486170042540.5312972340085080.734351382995746
470.4937822328476520.9875644656953050.506217767152348
480.889937540791620.2201249184167600.110062459208380
490.9011136623684070.1977726752631860.0988863376315932
500.8919312802842860.2161374394314280.108068719715714
510.8749587704768280.2500824590463430.125041229523172
520.8619242688046240.2761514623907530.138075731195376
530.857741867660570.284516264678860.14225813233943
540.833787220623450.3324255587531000.166212779376550
550.831683517129930.3366329657401390.168316482870069
560.813452152132250.3730956957355000.186547847867750
570.8299900464796020.3400199070407960.170009953520398
580.8452939376681130.3094121246637740.154706062331887
590.8698865567999510.2602268864000980.130113443200049
600.8999731806219020.2000536387561960.100026819378098
610.8929115381189760.2141769237620470.107088461881024
620.899813657648210.2003726847035820.100186342351791
630.8987191232890920.2025617534218170.101280876710908
640.9242215772354540.1515568455290930.0757784227645463
650.9102741546203680.1794516907592640.089725845379632
660.8947925365983940.2104149268032130.105207463401606
670.8771697946178040.2456604107643910.122830205382196
680.8640972653708260.2718054692583480.135902734629174
690.8678736410287260.2642527179425470.132126358971274
700.8871764413456120.2256471173087760.112823558654388
710.9084496324115170.1831007351769670.0915503675884835
720.9208695043335420.1582609913329160.0791304956664582
730.9160102994141060.1679794011717880.0839897005858942
740.9404025394138450.1191949211723100.0595974605861551
750.9312922476935140.1374155046129720.0687077523064859
760.9469560558531370.1060878882937270.0530439441468633
770.9458816420170680.1082367159658630.0541183579829316
780.9534363149400040.09312737011999190.0465636850599960
790.9577669083245750.08446618335085050.0422330916754253
800.954411751576560.09117649684687990.0455882484234399
810.9457911981509690.1084176036980630.0542088018490313
820.9401750357771450.1196499284457110.0598249642228553
830.9361310619796960.1277378760406090.0638689380203045
840.9663385663714640.06732286725707290.0336614336285365
850.966916074785160.0661678504296810.0330839252148405
860.9601641193441550.07967176131169080.0398358806558454
870.9652770693352230.06944586132955330.0347229306647767
880.9703794550258670.05924108994826570.0296205449741328
890.9674640511590650.06507189768186920.0325359488409346
900.977737303238430.0445253935231380.022262696761569
910.97532264804520.04935470390960060.0246773519548003
920.9821276036826250.03574479263475090.0178723963173755
930.9779039316311570.04419213673768560.0220960683688428
940.9725800354559540.05483992908809150.0274199645440457
950.9736521992866830.05269560142663340.0263478007133167
960.9921478667486580.01570426650268480.00785213325134238
970.9899441772202630.02011164555947350.0100558227797368
980.991080474977210.01783905004557930.00891952502278966
990.991852053029110.01629589394178160.00814794697089078
1000.9926891558394360.01462168832112710.00731084416056357
1010.9935879656446240.01282406871075100.00641203435537551
1020.9925874706751830.01482505864963360.0074125293248168
1030.9913343111926220.01733137761475530.00866568880737765
1040.9887866234665020.02242675306699630.0112133765334982
1050.9871974269032140.02560514619357130.0128025730967857
1060.9834887348306130.03302253033877300.0165112651693865
1070.9862100740678750.02757985186424990.0137899259321250
1080.9954812256947070.009037548610585450.00451877430529273
1090.9960743394012850.007851321197429140.00392566059871457
1100.9958082135513870.008383572897225740.00419178644861287
1110.9947125552945240.01057488941095250.00528744470547626
1120.994383716676210.01123256664757900.00561628332378951
1130.9942027655540470.01159446889190660.0057972344459533
1140.9923718888698070.01525622226038550.00762811113019273
1150.989937178797550.02012564240489920.0100628212024496
1160.9868899382317050.02622012353658970.0131100617682949
1170.983038753707430.03392249258514220.0169612462925711
1180.9782010296121180.0435979407757630.0217989703878815
1190.9854990285980250.029001942803950.014500971401975
1200.9972737379465190.00545252410696250.00272626205348125
1210.9968405001714030.006318999657194810.00315949982859741
1220.9966043287120030.006791342575994760.00339567128799738
1230.9957319034927090.00853619301458290.00426809650729145
1240.9952319354744660.00953612905106840.0047680645255342
1250.993835719564880.01232856087024070.00616428043512033
1260.9935791126770050.01284177464598940.00642088732299468
1270.9933935035118350.01321299297633020.0066064964881651
1280.9915246851074790.01695062978504220.0084753148925211
1290.9886554883036150.02268902339277020.0113445116963851
1300.984959359786210.03008128042757920.0150406402137896
1310.990221626959950.01955674608010080.00977837304005038
1320.9982799910709060.003440017858188490.00172000892909425
1330.9975916247830560.004816750433887600.00240837521694380
1340.997892812725710.004214374548578250.00210718727428912
1350.997293898802090.005412202395820720.00270610119791036
1360.9976776922153970.004644615569205920.00232230778460296
1370.997354591339330.005290817321341420.00264540866067071
1380.9965465538433560.00690689231328840.0034534461566442
1390.99604528987740.007909420245200840.00395471012260042
1400.9946869708300080.01062605833998430.00531302916999215
1410.9929574252000930.01408514959981320.0070425747999066
1420.9920330096054330.01593398078913350.00796699039456675
1430.9895837712358810.0208324575282370.0104162287641185
1440.9920816591491310.01583668170173780.00791834085086891
1450.9904494844043830.01910103119123490.00955051559561747
1460.9889497073390560.02210058532188870.0110502926609443
1470.9854560608942660.02908787821146910.0145439391057345
1480.9855711345140450.02885773097190930.0144288654859547
1490.9817801746925750.03643965061485040.0182198253074252
1500.9835227096634280.03295458067314440.0164772903365722
1510.9772488977752520.04550220444949560.0227511022247478
1520.9726400953125070.05471980937498520.0273599046874926
1530.9629255490837120.07414890183257680.0370744509162884
1540.9673025224909830.06539495501803440.0326974775090172
1550.9666855442480890.06662891150382230.0333144557519111
1560.9571917212437640.08561655751247290.0428082787562364
1570.9511038397950780.09779232040984470.0488961602049223
1580.9465733352094960.1068533295810080.0534266647905039
1590.941989759761460.1160204804770810.0580102402385405
1600.9539463886338830.09210722273223420.0460536113661171
1610.9517820151660470.09643596966790650.0482179848339532
1620.9437816756742470.1124366486515060.0562183243257532
1630.9488528298300860.1022943403398280.0511471701699138
1640.933869588053220.1322608238935590.0661304119467793
1650.932017991595130.135964016809740.06798200840487
1660.9084084086103110.1831831827793770.0915915913896886
1670.8966955716601020.2066088566797950.103304428339898
1680.9463249453451660.1073501093096680.0536750546548338
1690.925761978392230.1484760432155410.0742380216077707
1700.9320741472713060.1358517054573880.0679258527286942
1710.9121986283845660.1756027432308670.0878013716154337
1720.8971397501106840.2057204997786310.102860249889316
1730.8679723755156910.2640552489686180.132027624484309
1740.8840554441978720.2318891116042550.115944555802128
1750.8717410280954920.2565179438090150.128258971904508
1760.8759804634073520.2480390731852970.124019536592648
1770.8294723493283920.3410553013432160.170527650671608
1780.7812488548959410.4375022902081180.218751145104059
1790.7230854296552360.5538291406895280.276914570344764
1800.668097907094830.6638041858103410.331902092905171
1810.5736344001114210.8527311997771580.426365599888579
1820.5400640857924250.919871828415150.459935914207575
1830.4498561837194880.8997123674389760.550143816280512
1840.4910294892336790.9820589784673570.508970510766321
1850.4034626872200280.8069253744400570.596537312779972
1860.4288955432867320.8577910865734640.571104456713268
1870.4881409628525440.9762819257050890.511859037147456


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level180.098360655737705NOK
5% type I error level630.344262295081967NOK
10% type I error level830.453551912568306NOK