Multiple Linear Regression - Estimated Regression Equation
y[t] = + 0.653455385234217 + 0.0261778726526484x1[t] + 0.228695811251476x2[t] + 0.164523727475987x3[t] + 0.101091007906319x4[t] + 0.197018661004521x5[t] + 0.0540437767073316x6[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.6534553852342170.4127871.5830.1155920.057796
x10.02617787265264840.0618730.42310.6728580.336429
x20.2286958112514760.0727593.14320.0020270.001014
x30.1645237274759870.0656362.50660.0132930.006647
x40.1010910079063190.0814261.24150.2164250.108212
x50.1970186610045210.0739422.66450.0085840.004292
x60.05404377670733160.0623170.86720.3872440.193622


Multiple Linear Regression - Regression Statistics
Multiple R0.55649571399397
R-squared0.309687479693659
Adjusted R-squared0.281122823680983
F-TEST (value)10.8416316848426
F-TEST (DF numerator)6
F-TEST (DF denominator)145
p-value5.9757754300449e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.643938914498158
Sum Squared Residuals60.1253122127345


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
143.968354624478880.0316453755211221
243.638567805321040.361432194678961
354.063946354790850.936053645209152
433.03752181388844-0.0375218138884397
522.83533979807580-0.835339798075795
653.543457935504411.45654206449559
743.219170393940920.780829606059077
823.4032113713474-1.40321137134740
943.653937886273070.346062113726933
1042.441302476066751.55869752393325
1143.256089318071750.743910681928247
1222.74880108783993-0.74880108783993
1353.744900587111231.25509941288877
1433.01665245534209-0.0166524553420947
1543.713480940574710.286519059425295
1643.681803790327750.31819620967225
1732.941930083576420.0580699164235791
1843.739658813227350.260341186772646
1922.61677229389248-0.616772293892475
2043.586212060015740.413787939984263
2133.20204554136442-0.202045541364422
2233.2881023911049-0.288102391104897
2343.28226719072440.717732809275598
2443.510963001975880.489036998024122
2543.739658813227350.260341186772646
2643.329650344709580.670349655290422
2753.739658813227351.26034118677265
2833.1819155470239-0.181915547023902
2913.73965881322735-2.73965881322735
3043.490284406917540.509715593082464
3143.687303067922060.312696932077943
3233.1819155470239-0.181915547023902
3333.49028440691754-0.490284406917536
3443.866927693786320.133072306213678
3543.739658813227350.260341186772646
3643.793702589934690.206297410065314
3733.39517453710091-0.395174537100912
3843.687303067922060.312696932077943
3933.32026140184724-0.320261401847241
4043.494913436391390.505086563608614
4133.27702541684053-0.277025416840526
4243.467047532336700.532952467663297
4332.526343918388580.47365608161142
4422.66027342166970-0.660273421669704
4533.84074982113367-0.840749821133673
4643.464655134982710.53534486501729
4744.03776848213819-0.0377684821381942
4833.68730306792206-0.687303067922057
4933.3519385520942-0.351938552094197
5043.741346844629390.258653155370612
5143.633259291214730.366740708785275
5233.04133306008071-0.0413330600807061
5322.78869600829644-0.788696008296438
5443.739658813227350.260341186772646
5543.408374726155520.591625273844479
5633.10550514385619-0.105505143856194
5722.58536028641603-0.585360286416033
5843.739658813227350.260341186772646
5933.73965881322735-0.739658813227354
6033.52109130904403-0.521091309044034
6143.467047532336700.532952467663297
6232.768017413238100.231982586761904
6343.793702589934690.206297410065314
6433.41061135827538-0.410611358275378
6543.767524717282040.232475282717963
6644.43098802086566-0.430988020865658
6743.468735563738740.531264436261263
6833.04302109148274-0.0430210914827404
6932.634431471803240.365568528196756
7033.68561503652002-0.685615036520023
7142.67979067160021.32020932839980
7232.559518336549570.440481663450427
7322.45278289175076-0.452782891750756
7443.842437852535710.157562147464292
7543.905870572105380.0941294278946235
7644.06394635479084-0.063946354790843
7732.51213518256440.487864817435603
7854.101201201707860.898798798292137
7933.30421183626275-0.304211836262749
8022.94193008357642-0.941930083576421
8133.31394434097136-0.313944340971357
8233.34643927449989-0.34643927449989
8343.356567581568050.643432418431954
8443.149420613495370.85057938650463
8533.40456347996325-0.404563479963249
8622.28825916427477-0.288259164274768
8743.457658589474370.542341410525634
8843.079327271203550.920672728796455
8932.725394172641410.274605827358593
9043.468735563738740.531264436261263
9133.1819155470239-0.181915547023902
9223.05431074367875-1.05431074367875
9333.46241850286285-0.462418502862853
9433.09537683678804-0.0953768367880378
9532.825133071931880.174866928068119
9643.287766468318710.712233531681291
9743.717292186766980.282707813233022
9842.962530259559001.03746974044100
9933.05431074367875-0.0543107436787454
10043.732662267719010.26733773228099
10143.123242740842720.87675725915728
10232.559182413763380.440817586236615
10343.788394075828380.211605924171624
10433.70409199771237-0.704091997712368
10543.597501712211740.402498287788257
10644.06563438619288-0.0656343861928771
10733.54895721309872-0.548957213098717
10833.49028440691754-0.490284406917536
10933.46873556373874-0.468735563738737
11033.41469178703141-0.414691787031405
11133.01549111021425-0.0154911102142459
11222.55918241376338-0.559182413763385
11343.548277728466260.451722271533743
11422.74015150918341-0.740151509183413
11533.1819155470239-0.181915547023902
11633.3519385520942-0.351938552094197
11733.12324274084272-0.123242740842721
11843.772153746755890.227846253244113
11943.165126617233590.83487338276641
12032.932541140714080.067458859285916
12143.659437163867370.340562836132626
12233.02846879381229-0.0284687938122853
12333.54895721309872-0.548957213098717
12433.44753028240621-0.447530282406210
12543.706484395066360.293515604933639
12623.04451835939678-1.04451835939678
12743.501574059113540.498425940886459
12833.46873556373874-0.468735563738737
12933.01052615795421-0.0105261579542077
13043.755364816965580.244635183034425
13143.219170393940920.780829606059078
13243.659437163867370.340562836132626
13333.23727643409322-0.237276434093219
13422.21402551365356-0.214025513653557
13543.739658813227350.260341186772646
13623.63157125981269-1.63157125981269
13733.32026140184724-0.320261401847241
13843.622182316950350.377817683049646
13933.211356065151-0.211356065151001
14033.01134394123578-0.0113439412357851
14133.35656758156805-0.356567581568046
14233.54264015222283-0.542640152222834
14343.739658813227350.260341186772646
14433.68730306792206-0.687303067922057
14533.56813854024302-0.568138540243022
14622.98584555321560-0.985845553215596
14723.73965881322735-1.73965881322735
14833.09074780731419-0.090747807314188
14943.633259291214730.366740708785275
15033.26621762513991-0.26621762513991
15143.57682311715340.423176882846600
15234.45716589351831-1.45716589351831


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.8274995044895730.3450009910208550.172500495510427
110.7339480420789010.5321039158421980.266051957921099
120.637407939688020.7251841206239620.362592060311981
130.5852027664335490.8295944671329030.414797233566451
140.8007089578616480.3985820842767050.199291042138352
150.7277200582524650.5445598834950690.272279941747535
160.6488644608148050.702271078370390.351135539185195
170.5554922876468620.8890154247062770.444507712353138
180.5126124726975880.9747750546048240.487387527302412
190.4328269580045820.8656539160091630.567173041995418
200.4131267671843440.8262535343686880.586873232815656
210.3863705068977690.7727410137955380.613629493102231
220.3313159066118430.6626318132236860.668684093388157
230.2935536519998740.5871073039997480.706446348000126
240.2529836403198360.5059672806396720.747016359680164
250.2136211410238040.4272422820476070.786378858976196
260.2993322015767410.5986644031534820.700667798423259
270.3502617405449910.7005234810899810.64973825945501
280.4461036756601550.892207351320310.553896324339845
290.99926042806130.001479143877399650.000739571938699827
300.9988850202273280.002229959545344590.00111497977267230
310.9982706626496380.003458674700723820.00172933735036191
320.9977070170580460.004585965883908910.00229298294195445
330.9977756988578040.004448602284392150.00222430114219608
340.9966861801424320.006627639715135040.00331381985756752
350.995160257547580.009679484904839080.00483974245241954
360.9938325636583030.01233487268339440.00616743634169719
370.9932556369871880.01348872602562340.00674436301281172
380.9908774644115270.01824507117694550.00912253558847276
390.9889314462508270.02213710749834550.0110685537491727
400.9909798339417270.01804033211654660.00902016605827328
410.9879482450953760.02410350980924730.0120517549046237
420.990244794171130.01951041165774110.00975520582887057
430.9895003267159260.02099934656814720.0104996732840736
440.9926541665113120.01469166697737520.0073458334886876
450.994946349478560.01010730104288070.00505365052144033
460.9939173558012220.01216528839755520.00608264419877758
470.991762279784670.01647544043065820.0082377202153291
480.9922901228090250.01541975438195090.00770987719097547
490.990102193513470.01979561297305910.00989780648652953
500.9866938728315840.02661225433683150.0133061271684158
510.9838971608469460.03220567830610850.0161028391530542
520.9781934288812530.04361314223749410.0218065711187471
530.9805712008150260.03885759836994860.0194287991849743
540.9750392269799040.0499215460401920.024960773020096
550.9742663978777260.05146720424454750.0257336021222737
560.9668699092596560.06626018148068870.0331300907403443
570.9641781788552920.07164364228941560.0358218211447078
580.9553564799322380.0892870401355240.044643520067762
590.9596688558753180.08066228824936360.0403311441246818
600.9549355428507060.0901289142985870.0450644571492935
610.951719934851950.09656013029609930.0482800651480496
620.9418662306528980.1162675386942040.0581337693471018
630.9285571111306210.1428857777387570.0714428888693786
640.9175698450268460.1648603099463080.0824301549731538
650.9011280289380750.1977439421238500.0988719710619248
660.893177768559810.2136444628803780.106822231440189
670.8849946712340710.2300106575318580.115005328765929
680.8601996413077630.2796007173844750.139800358692237
690.8424834935402610.3150330129194780.157516506459739
700.8437816775912910.3124366448174170.156218322408709
710.9160043927301530.1679912145396930.0839956072698466
720.9061474007334410.1877051985331180.093852599266559
730.8985575833444750.2028848333110500.101442416655525
740.8781588646123540.2436822707752910.121841135387646
750.8563153404253340.2873693191493330.143684659574666
760.8283226480480680.3433547039038640.171677351951932
770.8136217318882020.3727565362235970.186378268111798
780.861130342824750.2777393143505000.138869657175250
790.8407117374991460.3185765250017080.159288262500854
800.8725598147478730.2548803705042550.127440185252127
810.8528871341980.2942257316040010.147112865802001
820.8303086565606130.3393826868787750.169691343439387
830.8301406077350880.3397187845298240.169859392264912
840.8587890001179170.2824219997641670.141210999882083
850.8399214604409780.3201570791180440.160078539559022
860.8263990831960870.3472018336078270.173600916803913
870.8164916010910380.3670167978179250.183508398908962
880.8397219758758160.3205560482483690.160278024124184
890.8133099031780640.3733801936438720.186690096821936
900.8019443795762260.3961112408475490.198055620423774
910.7677257849917930.4645484300164140.232274215008207
920.8238467701526690.3523064596946620.176153229847331
930.805206185375650.3895876292486990.194793814624349
940.7693964383555090.4612071232889820.230603561644491
950.7339258922754980.5321482154490040.266074107724502
960.7610805760999650.4778388478000710.238919423900035
970.74264266866320.51471466267360.2573573313368
980.8251959022326040.3496081955347920.174804097767396
990.7902421315182710.4195157369634580.209757868481729
1000.7728715693277240.4542568613445520.227128430672276
1010.8273719091750640.3452561816498730.172628090824936
1020.8309916940377550.3380166119244900.169008305962245
1030.8059177867912120.3881644264175760.194082213208788
1040.7989346411222550.4021307177554910.201065358877745
1050.7897700036785320.4204599926429370.210229996321468
1060.7512969151142980.4974061697714050.248703084885702
1070.7263747337252670.5472505325494670.273625266274733
1080.6961225238476620.6077549523046760.303877476152338
1090.6739700548254460.6520598903491090.326029945174554
1100.6525921771279130.6948156457441730.347407822872087
1110.5993192955135180.8013614089729640.400680704486482
1120.5643548092172370.8712903815655270.435645190782763
1130.5207155441217830.9585689117564340.479284455878217
1140.5607369494414130.8785261011171750.439263050558587
1150.5045214951943250.990957009611350.495478504805675
1160.4539180586546780.9078361173093560.546081941345322
1170.3962904419207430.7925808838414870.603709558079257
1180.3660587554944590.7321175109889190.63394124450554
1190.4336331478306660.8672662956613320.566366852169334
1200.3765013030519220.7530026061038430.623498696948078
1210.3651540937393250.730308187478650.634845906260675
1220.3079998209083940.6159996418167880.692000179091606
1230.2765351958120850.553070391624170.723464804187915
1240.2412639791640140.4825279583280280.758736020835986
1250.2091794326990670.4183588653981330.790820567300933
1260.2686974119761870.5373948239523750.731302588023813
1270.2579838878216630.5159677756433260.742016112178337
1280.2401661713100170.4803323426200330.759833828689983
1290.1886648031849770.3773296063699550.811335196815023
1300.1765020738193290.3530041476386570.823497926180671
1310.2986901677541510.5973803355083030.701309832245849
1320.3710203697447290.7420407394894580.628979630255271
1330.4036062027014080.8072124054028170.596393797298592
1340.3246255994097490.6492511988194990.675374400590251
1350.5181351202324710.9637297595350570.481864879767529
1360.5126037956557770.9747924086884470.487396204344223
1370.4115393062598270.8230786125196540.588460693740173
1380.3677397107086460.7354794214172920.632260289291354
1390.2773267381808590.5546534763617180.722673261819141
1400.2081804929321240.4163609858642470.791819507067876
1410.1432616379092710.2865232758185420.856738362090729
1420.08228315945039160.1645663189007830.917716840549608


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.0526315789473684NOK
5% type I error level260.195488721804511NOK
10% type I error level330.248120300751880NOK