Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 2324.06337310277 -226.385033602658X[t] -451.374973256311M1[t] -635.461053323769M2[t] -583.133697991392M3[t] -694.556342659015M4[t] -555.478987326638M5[t] -609.464131994261M6[t] -532.074276661884M7[t] -515.434421329507M8[t] -460.857065997131M9[t] -319.717210664754M10[t] -118.389855332377M11[t] -1.76485533237685t + 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-226.38503360265841.037226-5.516600
M1-451.37497325631153.942919-8.367600
M2-635.46105332376953.941479-11.780600
M3-583.13369799139253.931287-10.812500
M4-694.55634265901553.922166-12.880700
M5-555.47898732663853.914117-10.30300
M6-609.46413199426153.907141-11.305800
M7-532.07427666188453.901237-9.871300
M8-515.43442132950753.896405-9.563400
M9-460.85706599713153.892648-8.551400
M10-319.71721066475453.889963-5.932800
M11-118.38985533237753.888353-2.19690.0293160.014658
t-1.764855332376850.240551-7.336700


Multiple Linear Regression - Regression Statistics
Multiple R0.861322441473346
R-squared0.741876348185605
Adjusted R-squared0.723024620805902
F-TEST (value)39.3532291891913
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
116871870.92354451408-183.923544514078
215081685.07260911425-177.072609114249
315071735.63510911425-228.635109114249
413851622.44760911425-237.44760911425
516321759.76010911425-127.760109114249
615111704.01010911425-193.01010911425
715591779.63510911425-220.635109114249
816301794.51010911425-164.510109114249
915791847.32260911425-268.322609114249
1016531986.69760911425-333.697609114249
1121522186.26010911425-34.2601091142491
1221482302.88510911425-154.885109114249
1317521849.74528052556-97.745280525561
1417651663.89434512573101.105654874273
1517171714.456845125732.54315487427314
1615581601.26934512573-43.2693451257269
1715751738.58184512573-163.581845125727
1815201682.83184512573-162.831845125727
1918051758.4568451257346.5431548742731
2018001773.3318451257326.6681548742731
2117191826.14434512573-107.144345125727
2220081965.5193451257342.4806548742732
2322422165.0818451257376.9181548742732
2424782281.70684512573196.293154874273
2520301828.56701653704201.432983462961
2616551642.716081137212.2839188627954
2716931693.2785811372-0.278581137204616
2816231580.091081137242.9089188627954
2918051717.403581137287.5964188627954
3017461661.653581137284.3464188627954
3117951737.278581137257.7214188627954
3219261752.1535811372173.846418862795
3316191804.9660811372-185.966081137205
3419921944.341081137247.6589188627954
3522332143.903581137289.0964188627954
3621922260.5285811372-68.5285811372045
3720801807.38875254852272.611247451483
3817681621.53781714868146.462182851318
3918351672.10031714868162.899682851318
4015691558.9128171486810.0871828513176
4119761696.22531714868279.774682851318
4218531640.47531714868212.524682851318
4319651716.10031714868248.899682851318
4416891730.97531714868-41.9753171486824
4517781783.78781714868-5.78781714868237
4619761923.1628171486852.8371828513176
4723972122.72531714868274.274682851318
4826542239.35031714868414.649682851318
4920971786.21048855999310.789511440006
5019631600.35955316016362.64044683984
5116771650.9220531601626.0779468398399
5219411537.73455316016403.26544683984
5320031675.04705316016327.95294683984
5418131619.29705316016193.70294683984
5520121694.92205316016317.07794683984
5619121709.79705316016202.20294683984
5720841762.60955316016321.39044683984
5820801901.98455316016178.01544683984
5921182101.5470531601616.4529468398399
6021502218.17205316016-68.1720531601601
6116081765.03222457147-157.032224571472
6215031579.18128917164-76.1812891716379
6315481629.74378917164-81.7437891716379
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
7315771743.85396058295-166.85396058295
7413561558.00302518312-202.003025183116
7516521608.5655251831243.4344748168844
7613821495.37802518312-113.378025183116
7715191632.69052518312-113.690525183116
7814211576.94052518312-155.940525183116
7914421652.56552518312-210.565525183116
8015431667.44052518312-124.440525183116
8116561720.25302518312-64.2530251831156
8215611859.62802518312-298.628025183116
8319052059.19052518312-154.190525183116
8421992175.8155251831223.1844748168844
8514731722.67569659443-249.675696594427
8616551536.82476119459118.175238805407
8714071587.38726119459-180.387261194593
8813951474.19976119459-79.1997611945933
8915301611.51226119459-81.5122611945934
9013091555.76226119459-246.762261194593
9115261631.38726119459-105.387261194593
9213271646.26226119459-319.262261194593
9316271699.07476119459-72.0747611945934
9417481838.44976119459-90.4497611945934
9519582038.01226119459-80.0122611945934
9622742154.63726119459119.362738805407
9716481701.49743260591-53.4974326059054
9814011515.64649720607-114.646497206071
9914111566.20899720607-155.208997206071
10014031453.02149720607-50.0214972060711
10113941590.33399720607-196.333997206071
10215201534.58399720607-14.5839972060711
10315281610.20899720607-82.2089972060712
10416431625.0839972060717.9160027939289
10515151677.89649720607-162.896497206071
10616851817.27149720607-132.271497206071
10720002016.83399720607-16.8339972060712
10822152133.4589972060781.5410027939289
10919561680.31916861738275.680831382617
11014621494.46823321755-32.4682332175488
11115631545.0307332175517.9692667824511
11214591431.8432332175527.1567667824512
11314461569.15573321755-123.155733217549
11416221513.40573321755108.594266782451
11516571589.0307332175567.9692667824512
11616381603.9057332175534.0942667824511
11716431656.71823321755-13.7182332175489
11816831796.09323321755-113.093233217549
11920501995.6557332175554.3442667824512
12022622112.28073321755149.719266782451
12118131659.14090462886153.859095371139
12214451473.28996922903-28.2899692290266
12317621523.85246922903238.147530770973
12414611410.6649692290350.3350307709734
12515561547.977469229038.02253077097338
12614311492.22746922903-61.2274692290265
12714271567.85246922903-140.852469229027
12815541582.72746922903-28.7274692290267
12916451635.539969229039.4600307709734
13016531774.91496922903-121.914969229027
13120161974.4774692290341.5225307709734
13222072091.10246922903115.897530770973
13316651637.9626406403427.0373593596614
13413611452.1117052405-91.1117052405044
13515061502.67420524053.32579475949564
13613601389.4867052405-29.4867052405044
13714531526.7992052405-73.7992052405043
13815221471.049205240550.9507947594957
13914601546.6742052405-86.6742052405043
14015521561.5492052405-9.5492052405044
14115481614.3617052405-66.3617052405044
14218271753.736705240573.2632947594957
14317371953.2992052405-216.299205240504
14419412069.9242052405-128.924205240504
14514741616.78437665182-142.784376651816
14614581430.9334412519827.0665587480179
14715421481.4959412519860.5040587480179
14814041368.3084412519835.6915587480179
14915221505.6209412519816.3790587480179
15013851449.87094125198-64.870941251982
15116411525.49594125198115.504058748018
15215101540.37094125198-30.3709412519821
15316811593.1834412519887.816558748018
15419381732.55844125198205.441558748018
15518681932.12094125198-64.1209412519821
15617262048.74594125198-322.745941251982
15714561595.60611266329-139.606112663294
15814451409.7551772634635.2448227365402
15914561460.31767726346-4.31767726345983
16013651347.1301772634617.8698227365402
16114871484.442677263462.55732273654013
16215581428.69267726346129.30732273654
16314881504.31767726346-16.3176772634599
16416841519.19267726346164.80732273654
16515941572.0051772634621.9948227365402
16618501711.38017726346138.61982273654
16719981910.9426772634687.05732273654
16820792027.5676772634651.4323227365402
16914941574.42784867477-80.4278486747719
17010571162.19187967228-105.19187967228
17112181212.754379672285.2456203277202
17211681099.5668796722868.4331203277202
17312361236.87937967228-0.879379672279648
17410761181.12937967228-105.12937967228
17511741256.75437967228-82.7543796722796
17611391271.62937967228-132.62937967228
17714271324.44187967228102.55812032772
17814871463.8168796722823.1831203277203
17914831663.37937967228-180.37937967228
18015131780.00437967228-267.00437967228
18113571326.8645510835930.1354489164084
18211651141.0136156837623.9863843162425
18312821191.5761156837690.4238843162424
18411101078.3886156837631.6113843162425
18512971215.7011156837681.2988843162426
18611851159.9511156837625.0488843162426
18712221235.57611568376-13.5761156837574
18812841250.4511156837633.5488843162426
18914441303.26361568376140.736384316243
19015751442.63861568376132.361384316243
19117371642.2011156837694.7988843162425
19217631758.826115683764.17388431624252


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.3220302286924640.6440604573849270.677969771307536
180.2335210890959750.467042178191950.766478910904025
190.1806855784785960.3613711569571920.819314421521404
200.1036689106671450.2073378213342910.896331089332855
210.05594253793034360.1118850758606870.944057462069656
220.08584219237076930.1716843847415390.91415780762923
230.05298521090866110.1059704218173220.94701478909134
240.05685007762106930.1137001552421390.94314992237893
250.03611929194377110.07223858388754210.963880708056229
260.07056197359914450.1411239471982890.929438026400855
270.06276451543735450.1255290308747090.937235484562645
280.04110667206251410.08221334412502810.958893327937486
290.02500352156246450.05000704312492910.974996478437535
300.01517277417268810.03034554834537620.984827225827312
310.010486251456480.020972502912960.98951374854352
320.006139053853430780.01227810770686160.99386094614657
330.013744829652650.02748965930530010.98625517034735
340.008287862483525070.01657572496705010.991712137516475
350.007661079758146750.01532215951629350.992338920241853
360.02407759818054780.04815519636109560.975922401819452
370.01833419852318050.03666839704636110.98166580147682
380.01347733582748220.02695467165496430.986522664172518
390.008735154192976080.01747030838595220.991264845807024
400.008726024882234650.01745204976446930.991273975117765
410.008445243851656460.01689048770331290.991554756148344
420.006249497549605750.01249899509921150.993750502450394
430.004631340671584760.009262681343169520.995368659328415
440.01585979725056940.03171959450113880.98414020274943
450.01127350949369210.02254701898738420.988726490506308
460.00855656523871740.01711313047743480.991443434761283
470.006822710565199920.01364542113039980.9931772894348
480.01502338854254590.03004677708509180.984976611457454
490.01426909685099730.02853819370199460.985730903149003
500.01653371529091870.03306743058183740.983466284709081
510.02939038045949930.05878076091899870.9706096195405
520.05664310793481140.1132862158696230.943356892065189
530.06467971957555970.1293594391511190.93532028042444
540.06142328323536270.1228465664707250.938576716764637
550.07444424133630.14888848267260.9255557586637
560.07616840883265540.1523368176653110.923831591167345
570.1269548837736270.2539097675472540.873045116226373
580.1248078889635060.2496157779270130.875192111036494
590.3083768837683830.6167537675367670.691623116231617
600.6002611986436920.7994776027126170.399738801356308
610.9103345897471480.1793308205057030.0896654102528517
620.9659594625522480.06808107489550430.0340405374477521
630.9776006118954070.04479877620918620.0223993881045931
640.9902183186115710.0195633627768580.009781681388429
650.9917956312253780.01640873754924390.00820436877462193
660.9934237772990940.01315244540181170.00657622270090587
670.9948866097014060.01022678059718890.00511339029859444
680.996511940239780.006976119520440410.00348805976022021
690.9984146526847670.003170694630466350.00158534731523317
700.9990711342116390.001857731576722770.000928865788361383
710.9994169625900620.001166074819875880.00058303740993794
720.9997688126384240.0004623747231514040.000231187361575702
730.9999247209671450.0001505580657090197.52790328545093e-05
740.9999794983808364.10032383279706e-052.05016191639853e-05
750.9999745073462125.09853075752214e-052.54926537876107e-05
760.9999779256191944.41487616115049e-052.20743808057525e-05
770.999985408929072.91821418598773e-051.45910709299386e-05
780.9999905935973161.88128053673773e-059.40640268368865e-06
790.9999963065959457.38680811026766e-063.69340405513383e-06
800.9999966579799026.68404019588061e-063.3420200979403e-06
810.999995281059169.4378816792493e-064.71894083962465e-06
820.9999989772538852.0454922309044e-061.0227461154522e-06
830.9999990850055361.82998892833471e-069.14994464167355e-07
840.9999987655233922.46895321580061e-061.23447660790031e-06
850.9999994673938241.0652123523687e-065.32606176184352e-07
860.9999995786832998.42633402778406e-074.21316701389203e-07
870.9999996427861077.14427786983756e-073.57213893491878e-07
880.999999435762871.12847426032615e-065.64237130163076e-07
890.9999991947837951.61043241071849e-068.05216205359245e-07
900.9999996239060027.52187994909284e-073.76093997454642e-07
910.9999994640397831.07192043430258e-065.35960217151292e-07
920.9999999136772361.72645528621443e-078.63227643107217e-08
930.9999998541724842.91655031674864e-071.45827515837432e-07
940.9999997763282894.47343422178657e-072.23671711089329e-07
950.9999996365908177.26818366422755e-073.63409183211378e-07
960.999999706932795.86134421328627e-072.93067210664313e-07
970.9999994912858121.01742837608735e-065.08714188043677e-07
980.999999260080281.47983943967698e-067.3991971983849e-07
990.9999993825245751.23495085093433e-066.17475425467166e-07
1000.9999989743435162.05131296810263e-061.02565648405131e-06
1010.9999992037447381.5925105229205e-067.96255261460249e-07
1020.9999985989037052.80219259080988e-061.40109629540494e-06
1030.9999977726557034.45468859316497e-062.22734429658249e-06
1040.9999962326317497.53473650249206e-063.76736825124603e-06
1050.999997127611635.74477673973872e-062.87238836986936e-06
1060.9999975174215974.96515680639081e-062.4825784031954e-06
1070.999995703814228.5923715593601e-064.29618577968005e-06
1080.9999949403718731.01192562541707e-055.05962812708537e-06
1090.9999993059416451.38811671063978e-066.94058355319889e-07
1100.9999987588257772.48234844669864e-061.24117422334932e-06
1110.9999979106727564.17865448729338e-062.08932724364669e-06
1120.9999964024012087.19519758351076e-063.59759879175538e-06
1130.9999956317270948.73654581208904e-064.36827290604452e-06
1140.9999949641256581.00717486844336e-055.0358743422168e-06
1150.9999937901985781.241960284487e-056.20980142243498e-06
1160.999990094324761.98113504793609e-059.90567523968044e-06
1170.9999836016579353.27966841308941e-051.6398342065447e-05
1180.999985072519452.98549610993047e-051.49274805496523e-05
1190.9999803172748653.93654502706742e-051.96827251353371e-05
1200.9999938155445031.23689109940812e-056.18445549704062e-06
1210.999998228566013.54286798047981e-061.7714339902399e-06
1220.9999969061658546.18766829289177e-063.09383414644589e-06
1230.999999405207661.18958468107433e-065.94792340537166e-07
1240.999999119634381.76073123977e-068.80365619884998e-07
1250.9999985613479422.87730411688838e-061.43865205844419e-06
1260.9999973602112265.27957754712031e-062.63978877356015e-06
1270.9999960290415557.94191688977783e-063.97095844488892e-06
1280.9999929488397151.4102320570906e-057.051160285453e-06
1290.9999874501413132.50997173744951e-051.25498586872475e-05
1300.9999903301517571.93396964858226e-059.66984824291132e-06
1310.9999914662150911.7067569817542e-058.53378490877102e-06
1320.9999996705869476.58826104949678e-073.29413052474839e-07
1330.9999999076940071.84611986309589e-079.23059931547945e-08
1340.9999998112876873.77424626322014e-071.88712313161007e-07
1350.9999996398243437.20351314320889e-073.60175657160444e-07
1360.9999992594027521.48119449536723e-067.40597247683616e-07
1370.9999985198656582.96026868484019e-061.48013434242009e-06
1380.999998728249742.5435005193603e-061.27175025968015e-06
1390.9999974785201035.04295979493377e-062.52147989746688e-06
1400.9999960837587457.83248251027427e-063.91624125513713e-06
1410.9999930195564361.39608871282581e-056.98044356412905e-06
1420.999988065454692.38690906208565e-051.19345453104282e-05
1430.9999869864624722.60270750557359e-051.30135375278679e-05
1440.9999844276001253.11447997500719e-051.55723998750359e-05
1450.9999717042434945.65915130113369e-052.82957565056685e-05
1460.999956782458658.64350826980345e-054.32175413490173e-05
1470.9999326787413040.0001346425173916196.73212586958095e-05
1480.9998808921350520.0002382157298960180.000119107864948009
1490.9997878403267420.000424319346516530.000212159673258265
1500.9996175144837440.0007649710325122790.000382485516256139
1510.99984934763780.0003013047243998420.000150652362199921
1520.9997124556533830.0005750886932337260.000287544346616863
1530.9995665141748410.0008669716503181490.000433485825159074
1540.999832416347410.0003351673051782930.000167583652589147
1550.9996890386372530.0006219227254937280.000310961362746864
1560.9998140077319250.0003719845361496270.000185992268074813
1570.9996637509021310.000672498195737420.00033624909786871
1580.9993434560423880.001313087915223170.000656543957611584
1590.9990544363992570.001891127201485520.000945563600742762
1600.9985508548805760.002898290238848580.00144914511942429
1610.9980072674174620.003985465165076780.00199273258253839
1620.9973269090925480.005346181814903980.00267309090745199
1630.9949010093092420.01019798138151620.00509899069075809
1640.9961929795188690.007614040962262880.00380702048113144
1650.9965947475689370.00681050486212610.00340525243106305
1660.9931032326308020.01379353473839590.00689676736919796
1670.9887368045970050.02252639080598980.0112631954029949
1680.9979813145644070.004037370871185520.00201868543559276
1690.994934053556240.01013189288751980.00506594644375988
1700.9878668994044940.02426620119101190.012133100595506
1710.9736500401250420.05269991974991530.0263499598749577
1720.979706390025280.04058721994944120.0202936099747206
1730.9576677757183660.08466444856326760.0423322242816338
1740.902218059854980.1955638802900390.0977819401450197
1750.8323476540212660.3353046919574670.167652345978734


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