Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 2165.22639318886 -395.811145510835X[t] -442.550696594425M1[t] -617.812500000002M2[t] -567.25M3[t] -680.4375M4[t] -543.125000000001M5[t] -598.874999999998M6[t] -523.250000000001M7[t] -508.375M8[t] -455.5625M9[t] -316.187500000000M10[t] -116.625000000000M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2165.2263931888643.63188149.624900
X-395.81114551083538.605577-10.252700
M1-442.55069659442561.373686-7.210800
M2-617.81250000000261.326238-10.074200
M3-567.2561.326238-9.249700
M4-680.437561.326238-11.095400
M5-543.12500000000161.326238-8.856300
M6-598.87499999999861.326238-9.765400
M7-523.25000000000161.326238-8.532200
M8-508.37561.326238-8.289700
M9-455.562561.326238-7.428500
M10-316.18750000000061.326238-5.15581e-060
M11-116.62500000000061.326238-1.90170.0588150.029407


Multiple Linear Regression - Regression Statistics
Multiple R0.814751285561214
R-squared0.663819657323651
Adjusted R-squared0.641282427647024
F-TEST (value)29.4543591580865
F-TEST (DF numerator)12
F-TEST (DF denominator)179
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation173.456794605829
Sum Squared Residuals5385619.46749226


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116871722.67569659441-35.6756965944053
215081547.41389318886-39.413893188857
315071597.97639318886-90.9763931888592
413851484.78889318885-99.7888931888466
516321622.101393188869.8986068111442
615111566.35139318886-55.3513931888552
715591641.97639318885-82.9763931888532
816301656.85139318886-26.8513931888614
915791709.66389318885-130.663893188851
1016531849.03889318885-196.038893188855
1121522048.60139318886103.398606811145
1221482165.22639318885-17.226393188854
1317521722.6756965944329.3243034055713
1417651547.41389318885217.586106811146
1517171597.97639318885119.023606811146
1615581484.7888931888573.211106811145
1715751622.10139318885-47.1013931888544
1815201566.35139318885-46.3513931888545
1918051641.97639318885163.023606811145
2018001656.85139318885143.148606811146
2117191709.663893188859.33610681114532
2220081849.03889318885158.961106811145
2322422048.60139318885193.398606811146
2424782165.22639318885312.773606811145
2520301722.67569659443307.324303405571
2616551547.41389318885107.586106811146
2716931597.9763931888595.0236068111458
2816231484.78889318885138.211106811145
2918051622.10139318885182.898606811146
3017461566.35139318885179.648606811145
3117951641.97639318885153.023606811145
3219261656.85139318885269.148606811146
3316191709.66389318885-90.6638931888547
3419921849.03889318885142.961106811145
3522332048.60139318885184.398606811146
3621922165.2263931888526.7736068111454
3720801722.67569659443357.324303405571
3817681547.41389318885220.586106811146
3918351597.97639318885237.023606811146
4015691484.7888931888584.211106811145
4119761622.10139318885353.898606811146
4218531566.35139318885286.648606811145
4319651641.97639318885323.023606811145
4416891656.8513931888532.148606811146
4517781709.6638931888568.3361068111453
4619761849.03889318885126.961106811145
4723972048.60139318885348.398606811146
4826542165.22639318885488.773606811145
4920971722.67569659443374.324303405571
5019631547.41389318885415.586106811145
5116771597.9763931888579.0236068111458
5219411484.78889318886456.211106811145
5320031622.10139318885380.898606811146
5418131566.35139318885246.648606811145
5520121641.97639318885370.023606811145
5619121656.85139318885255.148606811146
5720841709.66389318885374.336106811145
5820801849.03889318885230.961106811145
5921182048.6013931888569.3986068111455
6021502165.22639318885-15.2263931888546
6116081722.67569659443-114.675696594429
6215031547.41389318885-44.4138931888543
6315481597.97639318885-49.9763931888542
6413821484.78889318885-102.788893188855
6517311622.10139318885108.898606811146
6617981566.35139318885231.648606811145
6717791641.97639318885137.023606811145
6818871656.85139318885230.148606811146
6920041709.66389318885294.336106811145
7020771849.03889318885227.961106811145
7120922048.6013931888543.3986068111455
7220512165.22639318885-114.226393188855
7315771722.67569659443-145.675696594429
7413561547.41389318885-191.413893188854
7516521597.9763931888554.0236068111458
7613821484.78889318885-102.788893188855
7715191622.10139318885-103.101393188854
7814211566.35139318885-145.351393188855
7914421641.97639318885-199.976393188855
8015431656.85139318885-113.851393188854
8116561709.66389318885-53.6638931888547
8215611849.03889318885-288.038893188855
8319052048.60139318885-143.601393188855
8421992165.2263931888533.7736068111454
8514731722.67569659443-249.675696594429
8616551547.41389318885107.586106811146
8714071597.97639318885-190.976393188854
8813951484.78889318885-89.788893188855
8915301622.10139318885-92.1013931888544
9013091566.35139318885-257.351393188855
9115261641.97639318885-115.976393188855
9213271656.85139318885-329.851393188854
9316271709.66389318885-82.6638931888547
9417481849.03889318885-101.038893188855
9519582048.60139318885-90.6013931888545
9622742165.22639318885108.773606811145
9716481722.67569659443-74.6756965944287
9814011547.41389318885-146.413893188854
9914111597.97639318885-186.976393188854
10014031484.78889318885-81.788893188855
10113941622.10139318885-228.101393188854
10215201566.35139318885-46.3513931888545
10315281641.97639318885-113.976393188855
10416431656.85139318885-13.851393188854
10515151709.66389318885-194.663893188855
10616851849.03889318885-164.038893188855
10720002048.60139318885-48.6013931888545
10822152165.2263931888549.7736068111454
10919561722.67569659443233.324303405571
11014621547.41389318885-85.4138931888543
11115631597.97639318885-34.9763931888542
11214591484.78889318885-25.7888931888550
11314461622.10139318885-176.101393188854
11416221566.3513931888555.6486068111455
11516571641.9763931888515.0236068111454
11616381656.85139318885-18.851393188854
11716431709.66389318885-66.6638931888547
11816831849.03889318885-166.038893188855
11920502048.601393188851.39860681114553
12022622165.2263931888596.7736068111454
12118131722.6756965944390.3243034055712
12214451547.41389318885-102.413893188854
12317621597.97639318885164.023606811146
12414611484.78889318885-23.7888931888550
12515561622.10139318885-66.1013931888544
12614311566.35139318885-135.351393188855
12714271641.97639318885-214.976393188855
12815541656.85139318885-102.851393188854
12916451709.66389318885-64.6638931888547
13016531849.03889318885-196.038893188855
13120162048.60139318885-32.6013931888545
13222072165.2263931888541.7736068111454
13316651722.67569659443-57.6756965944287
13413611547.41389318885-186.413893188854
13515061597.97639318885-91.9763931888542
13613601484.78889318885-124.788893188855
13714531622.10139318885-169.101393188854
13815221566.35139318885-44.3513931888545
13914601641.97639318885-181.976393188855
14015521656.85139318885-104.851393188854
14115481709.66389318885-161.663893188855
14218271849.03889318885-22.0388931888545
14317372048.60139318885-311.601393188855
14419412165.22639318885-224.226393188855
14514741722.67569659443-248.675696594429
14614581547.41389318885-89.4138931888543
14715421597.97639318885-55.9763931888542
14814041484.78889318885-80.788893188855
14915221622.10139318885-100.101393188854
15013851566.35139318885-181.351393188855
15116411641.97639318885-0.9763931888546
15215101656.85139318885-146.851393188854
15316811709.66389318885-28.6638931888547
15419381849.0388931888588.9611068111455
15518682048.60139318885-180.601393188855
15617262165.22639318885-439.226393188855
15714561722.67569659443-266.675696594429
15814451547.41389318885-102.413893188854
15914561597.97639318885-141.976393188854
16013651484.78889318885-119.788893188855
16114871622.10139318885-135.101393188854
16215581566.35139318885-8.3513931888545
16314881641.97639318885-153.976393188855
16416841656.8513931888527.148606811146
16515941709.66389318885-115.663893188855
16618501849.038893188850.9611068111455
16719982048.60139318885-50.6013931888545
16820792165.22639318885-86.2263931888546
16914941722.67569659443-228.675696594429
17010571151.60274767802-94.6027476780183
17112181202.1652476780215.8347523219817
17211681088.9777476780279.022252321981
17312361226.290247678029.70975232198158
17410761170.54024767802-94.5402476780185
17511741246.16524767802-72.1652476780186
17611391261.04024767802-122.040247678018
17714271313.85274767802113.147252321981
17814871453.2277476780233.7722523219814
17914831652.79024767802-169.790247678018
18015131769.41524767802-256.415247678019
18113571326.8645510835930.1354489164072
18211651151.6027476780213.3972523219817
18312821202.1652476780279.8347523219817
18411101088.9777476780221.0222523219809
18512971226.2902476780270.7097523219816
18611851170.5402476780214.4597523219815
18712221246.16524767802-24.1652476780187
18812841261.0402476780222.9597523219819
18914441313.85274767802130.147252321981
19015751453.22774767802121.772252321981
19117371652.7902476780284.2097523219815
19217631769.41524767802-6.41524767801867


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.4774123925937360.9548247851874730.522587607406264
170.3177830613741790.6355661227483580.682216938625821
180.1918850330176080.3837700660352150.808114966982392
190.219496442452130.438992884904260.78050355754787
200.1828713287849740.3657426575699470.817128671215026
210.1388506413979020.2777012827958030.861149358602098
220.2470668210919270.4941336421838540.752933178908073
230.1865730770935170.3731461541870330.813426922906483
240.2681743220394330.5363486440788670.731825677960567
250.3753173479730120.7506346959460240.624682652026988
260.2984712257880200.5969424515760410.70152877421198
270.2399252673916360.4798505347832720.760074732608364
280.2130450390493630.4260900780987270.786954960950637
290.2137688746654890.4275377493309780.786231125334511
300.2297752313907650.4595504627815310.770224768609235
310.1947715355403670.3895430710807330.805228464459633
320.2077651117228950.4155302234457910.792234888277105
330.1621565160742570.3243130321485150.837843483925743
340.1481164301044300.2962328602088590.85188356989557
350.1178312959736230.2356625919472460.882168704026377
360.09738211722199170.1947642344439830.902617882778008
370.1414009615478070.2828019230956140.858599038452193
380.1297822915516910.2595645831033810.87021770844831
390.1397728276513450.2795456553026900.860227172348655
400.1105854094843160.2211708189686310.889414590515685
410.1841247186689660.3682494373379320.815875281331034
420.2348993285677120.4697986571354230.765100671432288
430.2916501478873060.5833002957746130.708349852112694
440.2552543762765750.5105087525531490.744745623723425
450.2319339781760510.4638679563521020.768066021823949
460.2039096313316780.4078192626633560.796090368668322
470.2431477080700400.4862954161400810.756852291929960
480.473887762165810.947775524331620.52611223783419
490.5691985323093710.8616029353812580.430801467690629
500.7264188828149550.547162234370090.273581117185045
510.6883967611186170.6232064777627660.311603238881383
520.8882423937637220.2235152124725560.111757606236278
530.9448774632618280.1102450734763440.0551225367381722
540.9546545717721840.09069085645563120.0453454282278156
550.981115207137360.03776958572528140.0188847928626407
560.9865139644489280.02697207110214390.0134860355510720
570.9978479988944410.004304002211117370.00215200110555868
580.9985628936079760.002874212784048820.00143710639202441
590.9985002905584210.002999418883158080.00149970944157904
600.9985432203954620.002913559209076210.00145677960453811
610.9990717312162770.001856537567446680.000928268783723342
620.9991151039029790.001769792194042620.000884896097021311
630.9988719053312270.002256189337546440.00112809466877322
640.9989103460697690.002179307860462730.00108965393023137
650.9989306229093290.002138754181342430.00106937709067122
660.9993975059603050.001204988079390.000602494039695
670.9995047596873250.0009904806253494490.000495240312674724
680.9997607135953660.0004785728092682090.000239286404634104
690.9999484555580240.0001030888839515535.15444419757764e-05
700.9999799755985484.00488029040693e-052.00244014520346e-05
710.9999803059758693.93880482627085e-051.96940241313543e-05
720.9999839540974833.20918050348279e-051.60459025174140e-05
730.9999887792284692.24415430626064e-051.12207715313032e-05
740.999994095788111.18084237801413e-055.90421189007064e-06
750.9999921392217381.57215565242678e-057.8607782621339e-06
760.9999907574149911.84851700178040e-059.24258500890202e-06
770.9999917059601141.65880797721136e-058.29403988605678e-06
780.9999931962960761.36074078485785e-056.80370392428923e-06
790.9999967089921266.58201574797166e-063.29100787398583e-06
800.999996782748756.43450250216893e-063.21725125108447e-06
810.9999953790095749.24198085107973e-064.62099042553986e-06
820.9999989147619072.17047618646408e-061.08523809323204e-06
830.999999055368061.88926387964174e-069.4463193982087e-07
840.9999988296198942.34076021144639e-061.17038010572320e-06
850.9999995137226139.7255477329988e-074.8627738664994e-07
860.9999996539047166.92190568997731e-073.46095284498866e-07
870.999999722268035.5546393885066e-072.7773196942533e-07
880.9999995861537358.27692529861566e-074.13846264930783e-07
890.9999994841506181.03169876404525e-065.15849382022623e-07
900.9999997829307224.34138555732368e-072.17069277866184e-07
910.9999997341194975.31761004889164e-072.65880502444582e-07
920.9999999593390588.13218832371426e-084.06609416185713e-08
930.9999999348798061.30240387583734e-076.51201937918671e-08
940.9999999010283021.97943395314047e-079.89716976570233e-08
950.9999998612210932.77557813291379e-071.38778906645690e-07
960.9999999140799731.71840054584607e-078.59200272923037e-08
970.999999860121822.79756359989457e-071.39878179994729e-07
980.9999998250211583.49957683513652e-071.74978841756826e-07
990.9999998469509363.06098128076187e-071.53049064038094e-07
1000.9999997471545825.05690835816319e-072.52845417908160e-07
1010.999999812583293.7483341941049e-071.87416709705245e-07
1020.9999996851519436.29696114916211e-073.14848057458106e-07
1030.999999548876739.02246538632805e-074.51123269316402e-07
1040.999999292225961.41554807902718e-067.0777403951359e-07
1050.9999993645267471.27094650632298e-066.3547325316149e-07
1060.9999992972496571.40550068602918e-067.02750343014592e-07
1070.999998958728012.08254397902858e-061.04127198951429e-06
1080.9999991521463351.69570732985605e-068.47853664928023e-07
1090.9999999198513551.60297289800619e-078.01486449003093e-08
1100.9999998710871182.57825763589014e-071.28912881794507e-07
1110.9999997606059254.78788149181416e-072.39394074590708e-07
1120.9999995839660988.32067803672855e-074.16033901836428e-07
1130.9999994948233761.01035324743262e-065.0517662371631e-07
1140.9999994802675611.03946487774175e-065.19732438870876e-07
1150.9999994524008361.09519832770823e-065.47599163854117e-07
1160.9999991628744191.67425116273504e-068.37125581367521e-07
1170.9999985308737672.93825246625430e-061.46912623312715e-06
1180.9999984927537093.01449258219802e-061.50724629109901e-06
1190.9999983229212913.35415741711385e-061.67707870855692e-06
1200.9999996178671167.64265768332042e-073.82132884166021e-07
1210.9999998933733432.13253314532940e-071.06626657266470e-07
1220.999999818611413.62777181927527e-071.81388590963763e-07
1230.9999999493565521.01286896749012e-075.0643448374506e-08
1240.9999999120661831.75867634100664e-078.7933817050332e-08
1250.9999998422740743.15451851057457e-071.57725925528729e-07
1260.9999997331275695.33744862044504e-072.66872431022252e-07
1270.9999996892012636.21597472934647e-073.10798736467324e-07
1280.99999943877581.12244840081945e-065.61224200409725e-07
1290.9999989356780242.12864395257080e-061.06432197628540e-06
1300.999999427726231.14454753850936e-065.72273769254682e-07
1310.9999993909970021.21800599684692e-066.09002998423458e-07
1320.9999999357444851.28511029699837e-076.42555148499187e-08
1330.9999999456898831.08620234260407e-075.43101171302033e-08
1340.9999999155595621.68880875030271e-078.44404375151355e-08
1350.999999827304643.45390721431426e-071.72695360715713e-07
1360.999999681112796.37774418162373e-073.18887209081187e-07
1370.9999995163213779.67357246883755e-074.83678623441878e-07
1380.9999992181697841.56366043213988e-067.81830216069941e-07
1390.9999987851041472.42979170547042e-061.21489585273521e-06
1400.999997645868014.70826397889355e-062.35413198944678e-06
1410.9999975123879174.97522416654345e-062.48761208327172e-06
1420.9999950610824989.87783500307573e-064.93891750153786e-06
1430.9999977378293514.52434129751273e-062.26217064875636e-06
1440.9999964692147257.06157054924965e-063.53078527462482e-06
1450.9999948623953031.02752093948037e-055.13760469740187e-06
1460.9999902717740881.94564518248318e-059.7282259124159e-06
1470.999980945438123.81091237617349e-051.90545618808674e-05
1480.99996251312627.49737476012236e-053.74868738006118e-05
1490.9999284328706930.0001431342586141197.15671293070596e-05
1500.9998940027453560.0002119945092869740.000105997254643487
1510.9998940207980520.0002119584038961480.000105979201948074
1520.999817241528260.0003655169434797710.000182758471739886
1530.9996499702514620.000700059497075910.000350029748537955
1540.9995311834273330.0009376331453337170.000468816572666858
1550.9992521017508740.001495796498252030.000747898249126013
1560.9998484865948990.0003030268102022800.000151513405101140
1570.9998217739455420.0003564521089157640.000178226054457882
1580.9996466639037490.0007066721925024810.000353336096251241
1590.999472246590460.001055506819079270.000527753409539633
1600.9991619418563270.001676116287346330.000838058143673166
1610.998794430703550.002411138592899180.00120556929644959
1620.9981324186713650.00373516265726970.00186758132863485
1630.9965413176793270.006917364641346630.00345868232067332
1640.996430642396850.007138715206302260.00356935760315113
1650.996302913049990.007394173900021560.00369708695001078
1660.9926248205431520.01475035891369490.00737517945684745
1670.9869490046325480.02610199073490310.0130509953674515
1680.9909147209212230.01817055815755360.0090852790787768
1690.9822710463111070.03545790737778660.0177289536888933
1700.9718771603734020.05624567925319610.0281228396265981
1710.9497551587281750.1004896825436500.0502448412718248
1720.9122010401935920.1755979196128150.0877989598064076
1730.8524618585293440.2950762829413130.147538141470656
1740.7823573198125330.4352853603749330.217642680187467
1750.6569428186407690.6861143627184620.343057181359231
1760.5500728500896410.8998542998207170.449927149910359


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1090.677018633540373NOK
5% type I error level1150.714285714285714NOK
10% type I error level1170.726708074534162NOK