Multiple Linear Regression - Estimated Regression Equation
Yt[t] = + 9.35251838680335 -0.640087609275249month[t] -0.0290741578293503X1t[t] + 0.995491703191262X2t[t] + 0.114642721332865X3t[t] + 0.00880269656895907X4t[t] -0.243179688101038X5t[t] -0.104457642439144X6t[t] -0.542200790326548X7t[t] -0.0331456040618912t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9.352518386803350.81901611.419200
month-0.6400876092752490.068035-9.408300
X1t-0.02907415782935030.13013-0.22340.8235180.411759
X2t0.9954917031912620.1411287.053800
X3t0.1146427213328650.1174720.97590.3307220.165361
X4t0.008802696568959070.0864230.10190.9190110.459505
X5t-0.2431796881010380.063292-3.84220.0001819.1e-05
X6t-0.1044576424391440.102443-1.01970.3095720.154786
X7t-0.5422007903265480.047916-11.315700
t-0.03314560406189120.005988-5.53500


Multiple Linear Regression - Regression Statistics
Multiple R0.86415787561406
R-squared0.746768833985806
Adjusted R-squared0.731158693615068
F-TEST (value)47.8387007579806
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.21870073244992
Sum Squared Residuals216.843795390000


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
122.31139229923516-0.311392299235163
234.1647724591164-1.1647724591164
332.728967123339660.271032876660345
433.94457929293671-0.944579292936707
533.92042282788315-0.92042282788315
633.81688857271178-0.816888572711783
724.16999512337462-2.16999512337462
833.85144255585159-0.851442555851587
933.15497950893917-0.154979508939173
1043.660323547501220.339676452498781
1132.284515458818210.715484541181793
1234.15187959120835-1.15187959120835
1322.64568560432208-0.645685604322078
1432.851911825292590.148088174707414
1599.28294974352176-0.282949743521756
1699.50548852544546-0.505488525445463
1797.468854817116491.53114518288351
1898.85366743637320.146332563626806
1998.749208201600380.250791798399624
2097.277465060376231.72253493962377
21910.3167460710351-1.31674607103507
2297.538796620523831.46120337947617
2398.537726741866790.462273258133211
2499.79132717984584-0.79132717984584
2598.750185174708130.249814825291873
2697.504101023224971.49589897677503
2797.793206354963861.20679364503614
2897.24797005159791.7520299484021
2997.727951080033211.27204891996679
3098.145138016521150.854861983478854
3197.915775433130891.08422456686911
3297.764817997991541.23518200200846
3397.060934636834921.93906536316508
3498.561230321791240.438769678208761
3599.85566598648348-0.855665986483481
3697.610388130493461.38961186950654
3797.558254750968891.44174524903111
3897.026063202284481.97393679771552
3998.27734402127270.722655978727309
4096.837718104970642.16228189502936
4194.181270289331004.8187297106690
4212.70804787348276-1.70804787348276
4323.49863886881370-1.49863886881370
4424.06026918370021-2.06026918370021
4533.24831392470118-0.248313924701179
4644.19676577839524-0.196765778395242
4734.69925014116946-1.69925014116946
4822.78986056742394-0.789860567423937
4923.23917692635544-1.23917692635544
5034.09706538304567-1.09706538304566
5132.307126921693960.692873078306045
5243.158532300806060.84146769919394
5333.73907536269955-0.739075362699553
5422.94343266465372-0.943432664653717
5522.22723104805192-0.227231048051920
5622.24723892614841-0.247238926148405
5723.19801039883331-1.19801039883331
5833.08577930884602-0.0857793088460195
5914.24669741149542-3.24669741149542
6052.990413942892892.00958605710711
6123.58449565470304-1.58449565470304
6233.27176006530929-0.271760065309288
6343.007939471030920.992060528969082
6443.87463062429010.125369375709896
6521.853174847194150.146825152805854
6632.531791170475710.468208829524285
6732.230274612007780.769725387992216
6832.941674259660290.0583257403397136
6931.696611803144611.30338819685539
7012.48719365208853-1.48719365208853
7132.403940004564570.596059995435434
7232.122619878901320.877380121098683
7333.5573324122704-0.557332412270402
7443.594945683504800.405054316495195
7531.721930091411621.27806990858838
7642.328872096624971.67112790337503
7732.266652334733740.733347665266264
7832.548632264500860.451367735499143
7922.88609235365934-0.88609235365934
8011.75032218945756-0.750322189457562
8125.47052579962838-3.47052579962838
8233.60333003981734-0.603330039817336
8344.01857740741917-0.0185774074191695
8433.62456632683062-0.624566326830624
8544.36447074822967-0.364470748229669
8654.126208752904420.873791247095579
8722.90754523970861-0.907545239708607
8823.11320207659631-1.11320207659631
8944.36190457337437-0.36190457337437
9043.346967903891160.653032096108835
9133.64895493248490-0.648954932484896
9243.637463172008160.362536827991844
9343.679701052556060.320298947443939
9443.404411693586260.595588306413739
9543.82789831634740.1721016836526
9644.69810502848281-0.698105028482812
9726.36174231716034-4.36174231716034
9843.529632601650110.470367398349894
9943.43313571907950.566864280920497
10043.897743227455410.102256772544589
10143.310078577621790.689921422378213
10243.915638200510380.0843617994896166
10355.60002621701524-0.600026217015241
10445.10377484538173-1.10377484538173
10542.023185586621111.97681441337889
10644.36970425247812-0.369704252478115
10733.13232590526458-0.132325905264584
10844.38898160785785-0.38898160785785
10944.28258569573763-0.282585695737626
11045.03475522847652-1.03475522847652
11134.78262067462629-1.78262067462629
11234.83493222008425-1.83493222008425
11333.77722075500175-0.77722075500175
11433.74165683542197-0.741656835421966
11543.548212174796460.451787825203541
11632.923053612207960.0769463877920404
11732.889908008146070.110091991853932
11844.02229490130181-0.0222949013018123
11933.81134173983772-0.811341739837718
12033.92191301493804-0.92191301493804
12133.75523561060766-0.755235610607657
12233.33017691887187-0.330176918871873
12333.33611682655029-0.336116826550291
12433.65338048290409-0.653380482904092
12542.982565585084841.01743441491516
12631.888556147132851.11144385286715
12743.668586392051280.331413607948717
12834.09449133033031-1.09449133033031
12945.61821243768829-1.61821243768829
13012.12787971973257-1.12787971973257
13143.421361254470850.578638745529147
13232.884078156920100.115921843079905
13342.668341182844081.33165881715592
13442.725758975786021.27424102421398
13543.780133047925680.219866952074317
13633.01487186157825-0.0148718615782511
13733.90386804574456-0.903868045744562
13832.422039432531420.577960567468577
13943.162767245466160.837232754533836
14034.36913535822434-1.36913535822434
14132.123487668490030.876512331509973
14233.04899284641422-0.0489928464142197
14342.605045075742811.39495492425719
14422.80008858136599-0.800088581365988
14532.745635582850580.254364417149421
14634.35048760677309-1.35048760677309
14732.547945751009770.452054248990233
14832.188724218314100.811275781685896
14932.477103050816630.522896949183371
15041.667566107335492.33243389266451
15132.188939549045330.811060450954672
15243.729784411370730.270215588629268
15332.667267446765980.332732553234015
15441.778163379188962.22183662081104
15533.97798492972524-0.97798492972524
15631.685117632226671.31488236777333


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.06165551272029270.1233110254405850.938344487279707
140.1002594976405350.2005189952810690.899740502359465
150.04252898532136260.08505797064272520.957471014678637
160.0271964549467480.0543929098934960.972803545053252
170.02104158919789750.04208317839579510.978958410802103
180.008819653712729020.01763930742545800.991180346287271
190.004537829006969950.00907565801393990.99546217099303
200.002120990034300790.004241980068601590.9978790099657
210.01483167718898840.02966335437797680.985168322811012
220.04109831059373880.08219662118747760.95890168940626
230.02815144971263120.05630289942526240.971848550287369
240.02460024602932210.04920049205864420.975399753970678
250.0141628252117480.0283256504234960.985837174788252
260.009697729007727840.01939545801545570.990302270992272
270.005346567311990190.01069313462398040.99465343268801
280.003147374268189940.006294748536379870.99685262573181
290.001817404656912620.003634809313825240.998182595343087
300.001251866230511760.002503732461023520.998748133769488
310.0008164269550537160.001632853910107430.999183573044946
320.0004249305238553430.0008498610477106860.999575069476145
330.0002471954039003810.0004943908078007620.9997528045961
340.0006645935443910080.001329187088782020.99933540645561
350.001682040144133160.003364080288266330.998317959855867
360.001301102542284990.002602205084569980.998698897457715
370.001325148130111190.002650296260222380.998674851869889
380.001444875421130270.002889750842260540.99855512457887
390.002662351908304840.005324703816609680.997337648091695
400.01389739785831060.02779479571662120.98610260214169
410.211486628503910.422973257007820.78851337149609
420.9995821799224260.000835640155148220.00041782007757411
430.9999728399008265.43201983487909e-052.71600991743954e-05
440.9999951771242219.64575155755931e-064.82287577877966e-06
450.9999943277162331.13445675339387e-055.67228376696933e-06
460.9999933965448631.3206910274554e-056.603455137277e-06
470.9999959292369258.14152615019874e-064.07076307509937e-06
480.9999927034592891.45930814225348e-057.29654071126742e-06
490.9999929907813271.40184373455203e-057.00921867276013e-06
500.9999888786652012.22426695974953e-051.11213347987477e-05
510.999984142669453.17146611003858e-051.58573305501929e-05
520.9999934436061431.31127877147450e-056.55639385737252e-06
530.999991383881341.72322373218970e-058.61611866094849e-06
540.9999895865920942.08268158118004e-051.04134079059002e-05
550.9999888646376372.22707247254288e-051.11353623627144e-05
560.999984588779963.08224400774916e-051.54112200387458e-05
570.9999810364555393.79270889223755e-051.89635444611877e-05
580.9999696025740976.07948518050991e-053.03974259025495e-05
590.9999885622927742.28754144524789e-051.14377072262394e-05
600.9999980319063753.93618725056456e-061.96809362528228e-06
610.9999981929131813.61417363735858e-061.80708681867929e-06
620.9999971113421185.77731576456481e-062.88865788228241e-06
630.9999980070040643.98599187270014e-061.99299593635007e-06
640.9999977759606714.44807865786595e-062.22403932893297e-06
650.9999974484583295.10308334164535e-062.55154167082268e-06
660.9999954537849289.092430144955e-064.5462150724775e-06
670.9999952110483039.577903395005e-064.7889516975025e-06
680.999992555836281.48883274412753e-057.44416372063764e-06
690.9999873502586222.52994827566609e-051.26497413783304e-05
700.999994534761421.0930477160019e-055.4652385800095e-06
710.9999917186306581.65627386838610e-058.28136934193048e-06
720.9999867036021122.6592795775113e-051.32963978875565e-05
730.9999822191304663.55617390673042e-051.77808695336521e-05
740.9999905090253211.89819493579333e-059.49097467896665e-06
750.9999859427374742.81145250521246e-051.40572625260623e-05
760.9999938373556641.23252886719649e-056.16264433598246e-06
770.999990250046061.94999078792658e-059.7499539396329e-06
780.9999937679393191.24641213626744e-056.23206068133722e-06
790.9999964082708047.18345839182226e-063.59172919591113e-06
800.9999980288097933.9423804145269e-061.97119020726345e-06
810.999999822632883.54734238467279e-071.77367119233640e-07
820.99999999406481.18704013228564e-085.93520066142819e-09
830.9999999923063121.53873769384124e-087.69368846920621e-09
840.9999999923153531.53692945259577e-087.68464726297886e-09
850.9999999850385582.99228834373761e-081.49614417186881e-08
860.999999993191191.36176219658614e-086.8088109829307e-09
870.9999999977865974.42680639566448e-092.21340319783224e-09
880.999999999888952.22099905898238e-101.11049952949119e-10
890.9999999997504724.99056242188086e-102.49528121094043e-10
900.9999999995116149.76771264705623e-104.88385632352812e-10
910.999999999627527.44959806899633e-103.72479903449816e-10
920.9999999991556951.68860999890972e-098.44304999454859e-10
930.9999999983298573.34028695548965e-091.67014347774483e-09
940.9999999963085527.38289650533276e-093.69144825266638e-09
950.9999999918483921.63032166361822e-088.1516083180911e-09
960.9999999870257852.59484306393927e-081.29742153196963e-08
970.9999999999491241.01752065724778e-105.08760328623891e-11
980.9999999998851822.29636645250879e-101.14818322625440e-10
990.9999999997626974.74606131269499e-102.37303065634749e-10
1000.9999999994215321.15693608705566e-095.78468043527831e-10
1010.9999999988296462.34070839120423e-091.17035419560212e-09
1020.9999999972317085.53658471037505e-092.76829235518752e-09
1030.9999999946037281.07925446692244e-085.3962723346122e-09
1040.9999999901789331.96421336230804e-089.8210668115402e-09
1050.9999999927233461.45533085816621e-087.27665429083103e-09
1060.99999998262513.47498018212213e-081.73749009106106e-08
1070.9999999803191893.93616223626171e-081.96808111813086e-08
1080.9999999633180757.336385089326e-083.668192544663e-08
1090.9999999192767881.61446423345902e-078.07232116729508e-08
1100.9999999863193022.7361396781573e-081.36806983907865e-08
1110.9999999674958586.50082845200863e-083.25041422600431e-08
1120.9999999195611341.60877731793766e-078.04388658968829e-08
1130.9999998443091133.11381773326921e-071.55690886663460e-07
1140.9999997021179315.95764137089438e-072.97882068544719e-07
1150.9999995667100028.6657999594454e-074.3328999797227e-07
1160.999999263472831.47305434067613e-067.36527170338064e-07
1170.9999988175046752.36499065025434e-061.18249532512717e-06
1180.9999986578963662.68420726845118e-061.34210363422559e-06
1190.9999971997505975.60049880676308e-062.80024940338154e-06
1200.999993412694781.31746104385961e-056.58730521929804e-06
1210.999990525893591.89482128188405e-059.47410640942026e-06
1220.9999796996205724.06007588565986e-052.03003794282993e-05
1230.9999584438227138.31123545734825e-054.15561772867413e-05
1240.9999399710665040.0001200578669910986.00289334955488e-05
1250.9998889158241070.0002221683517867530.000111084175893377
1260.9998502726455820.0002994547088356790.000149727354417839
1270.9997047388318970.000590522336205960.00029526116810298
1280.9994727050869150.001054589826170770.000527294913085385
1290.9989579451122430.002084109775513640.00104205488775682
1300.9997179003115860.0005641993768282680.000282099688414134
1310.9994434576330820.001113084733835770.000556542366917884
1320.9989873056221930.002025388755614630.00101269437780732
1330.9982976121986680.003404775602663520.00170238780133176
1340.9979644191838250.004071161632350110.00203558081617506
1350.9981433383863830.003713323227234740.00185666161361737
1360.996240927970650.007518144058699510.00375907202934976
1370.9942276346222250.01154473075555090.00577236537777543
1380.992281343631060.01543731273787780.00771865636893891
1390.9897734016259740.02045319674805140.0102265983740257
1400.975121596283050.04975680743390150.0248784037169508
1410.9624745566730160.07505088665396790.0375254433269840
1420.911532693544240.1769346129115190.0884673064557597
1430.849663611741380.3006727765172410.150336388258621


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1090.83206106870229NOK
5% type I error level1210.923664122137405NOK
10% type I error level1260.961832061068702NOK