Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 2324.06337310277 -226.385033602657X[t] -451.374973256309M1[t] -635.461053323771M2[t] -583.133697991392M3[t] -694.556342659014M4[t] -555.478987326639M5[t] -609.464131994259M6[t] -532.074276661885M7[t] -515.434421329508M8[t] -460.85706599713M9[t] -319.717210664754M10[t] -118.389855332377M11[t] -1.76485533237686t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2324.0633731027744.02993952.783700
X-226.38503360265741.037226-5.516600
M1-451.37497325630953.942919-8.367600
M2-635.46105332377153.941479-11.780600
M3-583.13369799139253.931287-10.812500
M4-694.55634265901453.922166-12.880700
M5-555.47898732663953.914117-10.30300
M6-609.46413199425953.907141-11.305800
M7-532.07427666188553.901237-9.871300
M8-515.43442132950853.896405-9.563400
M9-460.8570659971353.892648-8.551400
M10-319.71721066475453.889963-5.932800
M11-118.38985533237753.888353-2.19690.0293160.014658
t-1.764855332376860.240551-7.336700


Multiple Linear Regression - Regression Statistics
Multiple R0.861322441473346
R-squared0.741876348185605
Adjusted R-squared0.723024620805902
F-TEST (value)39.3532291891914
F-TEST (DF numerator)13
F-TEST (DF denominator)178
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation152.417759557721
Sum Squared Residuals4135148.87028996


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116871870.92354451406-183.923544514060
215081685.07260911425-177.072609114252
315071735.63510911425-228.635109114254
413851622.44760911424-237.447609114242
516321759.76010911425-127.760109114251
615111704.01010911425-193.010109114250
715591779.63510911425-220.635109114248
816301794.51010911426-164.510109114256
915791847.32260911425-268.322609114246
1016531986.69760911425-333.697609114249
1121522186.26010911425-34.2601091142503
1221482302.88510911425-154.885109114249
1317521849.74528052556-97.7452805255622
1417651663.89434512573101.105654874272
1517171714.456845125732.54315487427317
1615581601.26934512573-43.2693451257275
1715751738.58184512573-163.581845125727
1815201682.83184512573-162.831845125727
1918051758.4568451257346.5431548742728
2018001773.3318451257326.6681548742733
2117191826.14434512573-107.144345125727
2220081965.5193451257342.4806548742729
2322422165.0818451257376.918154874273
2424782281.70684512573196.293154874273
2520301828.56701653704201.43298346296
2616551642.7160811372012.2839188627955
2716931693.27858113720-0.278581137204542
2816231580.0910811372142.9089188627948
2918051717.4035811372087.5964188627952
3017461661.6535811372084.3464188627952
3117951737.2785811372157.721418862795
3219261752.15358113720173.846418862796
3316191804.96608113721-185.966081137205
3419921944.3410811372047.6589188627952
3522332143.9035811372089.0964188627953
3621922260.52858113721-68.5285811372049
3720801807.38875254852272.611247451482
3817681621.53781714868146.462182851318
3918351672.10031714868162.899682851318
4015691558.9128171486810.0871828513171
4119761696.22531714868279.774682851318
4218531640.47531714868212.524682851317
4319651716.10031714868248.899682851317
4416891730.97531714868-41.9753171486821
4517781783.78781714868-5.78781714868267
4619761923.1628171486852.8371828513174
4723972122.72531714868274.274682851318
4826542239.35031714868414.649682851317
4920971786.21048856000310.789511440004
5019631600.35955316016362.64044683984
5116771650.9220531601626.0779468398400
5219411537.73455316016403.265446839839
5320031675.04705316016327.95294683984
5418131619.29705316016193.702946839840
5520121694.92205316016317.07794683984
5619121709.79705316016202.20294683984
5720841762.60955316016321.39044683984
5820801901.98455316016178.015446839840
5921182101.5470531601616.4529468398398
6021502218.17205316016-68.1720531601603
6116081765.03222457147-157.032224571473
6215031579.18128917164-76.1812891716376
6315481629.74378917164-81.7437891716377
6413821516.55628917164-134.556289171638
6517311653.8687891716477.1312108283621
6617981598.11878917164199.881210828362
6717791673.74378917164105.256210828362
6818871688.61878917164198.381210828362
6920041741.43128917164262.568710828362
7020771880.80628917164196.193710828362
7120922080.3687891716411.6312108283621
7220512196.99378917164-145.993789171638
7315771743.85396058295-166.853960582951
7413561558.00302518312-202.003025183115
7516521608.5655251831243.4344748168846
7613821495.37802518312-113.378025183116
7715191632.69052518312-113.690525183116
7814211576.94052518312-155.940525183116
7914421652.56552518312-210.565525183116
8015431667.44052518312-124.440525183115
8116561720.25302518312-64.2530251831158
8215611859.62802518312-298.628025183116
8319052059.19052518312-154.190525183116
8421992175.8155251831223.1844748168843
8514731722.67569659443-249.675696594429
8616551536.82476119459118.175238805407
8714071587.38726119459-180.387261194593
8813951474.19976119459-79.1997611945937
8915301611.51226119459-81.5122611945933
9013091555.76226119459-246.762261194593
9115261631.38726119459-105.387261194593
9213271646.26226119459-319.262261194593
9316271699.07476119459-72.0747611945935
9417481838.44976119459-90.4497611945934
9519582038.01226119459-80.0122611945933
9622742154.63726119459119.362738805407
9716481701.49743260591-53.4974326059064
9814011515.64649720607-114.646497206071
9914111566.20899720607-155.208997206071
10014031453.02149720607-50.0214972060714
10113941590.33399720607-196.333997206071
10215201534.58399720607-14.5839972060711
10315281610.20899720607-82.2089972060712
10416431625.0839972060717.9160027939294
10515151677.89649720607-162.896497206071
10616851817.27149720607-132.271497206071
10720002016.83399720607-16.8339972060710
10822152133.4589972060781.5410027939288
10919561680.31916861738275.680831382616
11014621494.46823321755-32.4682332175485
11115631545.0307332175517.9692667824515
11214591431.8432332175527.1567667824508
11314461569.15573321755-123.155733217549
11416221513.40573321755108.594266782451
11516571589.0307332175567.9692667824511
11616381603.9057332175534.0942667824517
11716431656.71823321755-13.7182332175489
11816831796.09323321755-113.093233217549
11920501995.6557332175554.3442667824512
12022622112.28073321755149.719266782451
12118131659.14090462886153.859095371138
12214451473.28996922903-28.2899692290262
12317621523.85246922903238.147530770974
12414611410.6649692290350.3350307709731
12515561547.977469229038.02253077097358
12614311492.22746922903-61.2274692290265
12714271567.85246922903-140.852469229027
12815541582.72746922903-28.7274692290261
12916451635.539969229039.46003077097336
13016531774.91496922903-121.914969229026
13120161974.4774692290341.5225307709736
13222072091.10246922903115.897530770973
13316651637.9626406403427.0373593596605
13413611452.11170524050-91.111705240504
13515061502.674205240503.32579475949605
13613601389.48670524050-29.4867052405046
13714531526.79920524050-73.7992052405041
13815221471.0492052405050.9507947594957
13914601546.67420524050-86.6742052405044
14015521561.54920524050-9.54920524050376
14115481614.36170524050-66.3617052405043
14218271753.7367052405073.2632947594957
14317371953.29920524050-216.299205240504
14419412069.92420524050-128.924205240504
14514741616.78437665182-142.784376651817
14614581430.9334412519827.0665587480184
14715421481.4959412519860.5040587480183
14814041368.3084412519835.6915587480177
14915221505.6209412519816.3790587480182
15013851449.87094125198-64.870941251982
15116411525.49594125198115.504058748018
15215101540.37094125198-30.3709412519815
15316811593.1834412519887.816558748018
15419381732.55844125198205.441558748018
15518681932.12094125198-64.1209412519819
15617262048.74594125198-322.745941251982
15714561595.60611266329-139.606112663295
15814451409.7551772634635.2448227365406
15914561460.31767726346-4.31767726345942
16013651347.1301772634617.8698227365400
16114871484.442677263462.55732273654045
16215581428.69267726346129.307322736540
16314881504.31767726346-16.3176772634598
16416841519.19267726346164.807322736541
16515941572.0051772634621.9948227365402
16618501711.38017726346138.619822736540
16719981910.9426772634687.0573227365404
16820792027.5676772634651.4323227365403
16914941574.42784867477-80.4278486747727
17010571162.19187967228-105.191879672279
17112181212.754379672285.24562032772056
17211681099.5668796722868.4331203277199
17312361236.87937967228-0.879379672279542
17410761181.12937967228-105.129379672280
17511741256.75437967228-82.7543796722797
17611391271.62937967228-132.629379672279
17714271324.44187967228102.558120327720
17814871463.8168796722823.1831203277203
17914831663.37937967228-180.379379672280
18015131780.00437967228-267.00437967228
18113571326.8645510835930.1354489164073
18211651141.0136156837623.986384316243
18312821191.5761156837690.4238843162428
18411101078.3886156837631.6113843162422
18512971215.7011156837681.2988843162427
18611851159.9511156837625.0488843162426
18712221235.57611568376-13.5761156837575
18812841250.4511156837633.548884316243
18914441303.26361568376140.736384316242
19015751442.63861568376132.361384316243
19117371642.2011156837694.7988843162427
19217631758.826115683764.17388431624253


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.3220302286924620.6440604573849240.677969771307538
180.2335210890959760.4670421781919510.766478910904024
190.1806855784785960.3613711569571920.819314421521404
200.1036689106671450.207337821334290.896331089332855
210.05594253793034310.1118850758606860.944057462069657
220.08584219237076970.1716843847415390.91415780762923
230.05298521090866150.1059704218173230.947014789091339
240.05685007762106940.1137001552421390.94314992237893
250.03611929194377110.07223858388754210.963880708056229
260.07056197359914530.1411239471982910.929438026400855
270.06276451543735430.1255290308747090.937235484562646
280.04110667206251370.08221334412502740.958893327937486
290.02500352156246460.05000704312492910.974996478437535
300.01517277417268810.03034554834537620.984827225827312
310.01048625145647990.02097250291295990.98951374854352
320.006139053853430690.01227810770686140.99386094614657
330.01374482965265010.02748965930530020.98625517034735
340.008287862483525150.01657572496705030.991712137516475
350.00766107975814670.01532215951629340.992338920241853
360.02407759818054770.04815519636109540.975922401819452
370.01833419852318040.03666839704636070.98166580147682
380.01347733582748220.02695467165496440.986522664172518
390.008735154192975910.01747030838595180.991264845807024
400.008726024882234820.01745204976446960.991273975117765
410.00844524385165650.0168904877033130.991554756148344
420.006249497549605690.01249899509921140.993750502450394
430.004631340671584860.009262681343169710.995368659328415
440.01585979725056940.03171959450113880.98414020274943
450.01127350949369190.02254701898738380.988726490506308
460.008556565238717450.01711313047743490.991443434761283
470.00682271056520.01364542113040.9931772894348
480.01502338854254600.03004677708509210.984976611457454
490.0142690968509970.0285381937019940.985730903149003
500.01653371529091900.03306743058183810.983466284709081
510.02939038045950.0587807609190.9706096195405
520.05664310793481260.1132862158696250.943356892065187
530.06467971957555930.1293594391511190.93532028042444
540.06142328323536130.1228465664707230.938576716764639
550.07444424133630210.1488884826726040.925555758663698
560.0761684088326550.152336817665310.923831591167345
570.1269548837736270.2539097675472540.873045116226373
580.1248078889635040.2496157779270090.875192111036496
590.3083768837683830.6167537675367650.691623116231618
600.6002611986436950.799477602712610.399738801356305
610.9103345897471480.1793308205057040.0896654102528519
620.9659594625522480.0680810748955050.0340405374477525
630.9776006118954070.04479877620918560.0223993881045928
640.990218318611570.01956336277685840.00978168138842921
650.991795631225380.01640873754924230.00820436877462113
660.9934237772990940.01315244540181200.00657622270090601
670.9948866097014060.01022678059718860.0051133902985943
680.996511940239780.006976119520440160.00348805976022008
690.9984146526847670.00317069463046640.0015853473152332
700.9990711342116390.001857731576722740.00092886578836137
710.9994169625900620.001166074819875860.000583037409937929
720.9997688126384240.0004623747231514140.000231187361575707
730.9999247209671450.0001505580657090187.52790328545092e-05
740.9999794983808364.100323832797e-052.0501619163985e-05
750.9999745073462125.09853075752223e-052.54926537876112e-05
760.9999779256191944.41487616115049e-052.20743808057524e-05
770.999985408929072.91821418598767e-051.45910709299383e-05
780.9999905935973161.88128053673771e-059.40640268368857e-06
790.9999963065959457.38680811026777e-063.69340405513389e-06
800.9999966579799026.68404019588085e-063.34202009794043e-06
810.999995281059169.43788167924907e-064.71894083962453e-06
820.9999989772538852.04549223090433e-061.02274611545216e-06
830.9999990850055361.82998892833481e-069.14994464167405e-07
840.9999987655233922.46895321580061e-061.23447660790030e-06
850.9999994673938241.06521235236867e-065.32606176184337e-07
860.9999995786832998.42633402778393e-074.21316701389197e-07
870.9999996427861077.14427786983761e-073.57213893491880e-07
880.999999435762871.12847426032615e-065.64237130163076e-07
890.9999991947837951.61043241071844e-068.05216205359219e-07
900.9999996239060027.52187994909272e-073.76093997454636e-07
910.9999994640397831.07192043430264e-065.3596021715132e-07
920.9999999136772361.72645528621443e-078.63227643107215e-08
930.9999998541724842.91655031674888e-071.45827515837444e-07
940.9999997763282894.47343422178674e-072.23671711089337e-07
950.9999996365908177.26818366422688e-073.63409183211344e-07
960.999999706932795.86134421328664e-072.93067210664332e-07
970.9999994912858121.01742837608735e-065.08714188043675e-07
980.999999260080281.47983943967688e-067.3991971983844e-07
990.9999993825245751.23495085093429e-066.17475425467145e-07
1000.9999989743435162.05131296810265e-061.02565648405133e-06
1010.9999992037447381.59251052292049e-067.96255261460247e-07
1020.9999985989037052.8021925908099e-061.40109629540495e-06
1030.9999977726557034.45468859316504e-062.22734429658252e-06
1040.9999962326317497.5347365024918e-063.7673682512459e-06
1050.999997127611635.74477673973872e-062.87238836986936e-06
1060.9999975174215974.96515680639093e-062.48257840319547e-06
1070.999995703814228.59237155936023e-064.29618577968012e-06
1080.9999949403718731.01192562541705e-055.05962812708527e-06
1090.9999993059416451.38811671063981e-066.94058355319906e-07
1100.9999987588257772.48234844669864e-061.24117422334932e-06
1110.9999979106727564.17865448729335e-062.08932724364668e-06
1120.9999964024012087.19519758351085e-063.59759879175543e-06
1130.9999956317270948.73654581208899e-064.36827290604449e-06
1140.9999949641256581.00717486844338e-055.03587434221692e-06
1150.9999937901985781.24196028448702e-056.20980142243508e-06
1160.999990094324761.98113504793609e-059.90567523968047e-06
1170.9999836016579353.27966841308944e-051.63983420654472e-05
1180.999985072519452.98549610993064e-051.49274805496532e-05
1190.9999803172748653.93654502706745e-051.96827251353372e-05
1200.9999938155445031.23689109940820e-056.18445549704102e-06
1210.999998228566013.54286798047977e-061.77143399023989e-06
1220.9999969061658546.1876682928923e-063.09383414644615e-06
1230.999999405207661.18958468107428e-065.94792340537142e-07
1240.999999119634381.76073123977003e-068.80365619885017e-07
1250.9999985613479422.87730411688845e-061.43865205844423e-06
1260.9999973602112265.27957754712046e-062.63978877356023e-06
1270.9999960290415557.94191688977771e-063.97095844488886e-06
1280.9999929488397151.41023205709067e-057.05116028545335e-06
1290.9999874501413132.50997173744961e-051.25498586872481e-05
1300.9999903301517571.93396964858222e-059.66984824291112e-06
1310.9999914662150911.70675698175420e-058.53378490877098e-06
1320.9999996705869476.58826104949665e-073.29413052474832e-07
1330.9999999076940071.84611986309583e-079.23059931547913e-08
1340.9999998112876873.77424626322019e-071.88712313161010e-07
1350.9999996398243437.20351314320861e-073.60175657160431e-07
1360.9999992594027521.48119449536726e-067.4059724768363e-07
1370.9999985198656582.9602686848403e-061.48013434242015e-06
1380.999998728249742.54350051936023e-061.27175025968011e-06
1390.9999974785201025.04295979493376e-062.52147989746688e-06
1400.9999960837587457.83248251027385e-063.91624125513693e-06
1410.9999930195564361.39608871282583e-056.98044356412913e-06
1420.999988065454692.38690906208563e-051.19345453104281e-05
1430.9999869864624722.60270750557366e-051.30135375278683e-05
1440.9999844276001253.11447997500722e-051.55723998750361e-05
1450.9999717042434945.65915130113381e-052.82957565056690e-05
1460.999956782458658.6435082698033e-054.32175413490165e-05
1470.9999326787413040.0001346425173916206.73212586958098e-05
1480.9998808921350520.0002382157298960120.000119107864948006
1490.9997878403267420.0004243193465165220.000212159673258261
1500.9996175144837440.0007649710325122770.000382485516256139
1510.99984934763780.0003013047243998440.000150652362199922
1520.9997124556533830.0005750886932337120.000287544346616856
1530.9995665141748410.0008669716503181530.000433485825159076
1540.999832416347410.0003351673051782930.000167583652589146
1550.9996890386372530.0006219227254937540.000310961362746877
1560.9998140077319250.0003719845361496290.000185992268074815
1570.9996637509021310.0006724981957374210.000336249097868710
1580.9993434560423880.001313087915223170.000656543957611584
1590.9990544363992570.001891127201485520.00094556360074276
1600.9985508548805760.002898290238848430.00144914511942421
1610.9980072674174620.003985465165076780.00199273258253839
1620.9973269090925480.005346181814904110.00267309090745206
1630.9949010093092420.01019798138151600.00509899069075801
1640.9961929795188690.007614040962262740.00380702048113137
1650.9965947475689370.006810504862126180.00340525243106309
1660.9931032326308020.01379353473839590.00689676736919795
1670.9887368045970050.02252639080598990.0112631954029950
1680.9979813145644070.004037370871185560.00201868543559278
1690.994934053556240.01013189288751970.00506594644375987
1700.9878668994044940.02426620119101230.0121331005955062
1710.9736500401250430.05269991974991410.0263499598749570
1720.979706390025280.04058721994944160.0202936099747208
1730.9576677757183660.08466444856326860.0423322242816343
1740.902218059854980.1955638802900400.0977819401450201
1750.8323476540212660.3353046919574680.167652345978734


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level990.622641509433962NOK
5% type I error level1300.817610062893082NOK
10% type I error level1370.861635220125786NOK