Multiple Linear Regression - Estimated Regression Equation
t[t] = + 2165.22639318886 -395.811145510836D[t] -442.550696594427M1[t] -617.8125M2[t] -567.25M3[t] -680.4375M4[t] -543.125M5[t] -598.875M6[t] -523.25M7[t] -508.375M8[t] -455.5625M9[t] -316.1875M10[t] -116.625M11[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
D-395.81114551083638.605577-10.252700
M1-442.55069659442761.373686-7.210800
M2-617.812561.326238-10.074200
M3-567.2561.326238-9.249700
M4-680.437561.326238-11.095400
M5-543.12561.326238-8.856300
M6-598.87561.326238-9.765400
M7-523.2561.326238-8.532200
M8-508.37561.326238-8.289700
M9-455.562561.326238-7.428500
M10-316.187561.326238-5.15581e-060
M11-116.62561.326238-1.90170.0588150.029407


Multiple Linear Regression - Regression Statistics
Multiple R0.814751285561214
R-squared0.66381965732365
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
116871722.67569659442-35.6756965944224
215081547.41389318885-39.4138931888546
315071597.97639318885-90.9763931888542
413851484.78889318885-99.788893188855
516321622.101393188859.89860681114526
615111566.35139318885-55.3513931888549
715591641.97639318885-82.9763931888545
816301656.85139318885-26.8513931888544
915791709.66389318885-130.663893188855
1016531849.03889318885-196.038893188855
1121522048.60139318885103.398606811145
1221482165.22639318885-17.2263931888546
1317521722.6756965944329.3243034055724
1417651547.41389318885217.586106811145
1517171597.97639318885119.023606811145
1615581484.7888931888573.2111068111455
1715751622.10139318885-47.1013931888545
1815201566.35139318885-46.3513931888545
1918051641.97639318885163.023606811146
2018001656.85139318885143.148606811145
2117191709.663893188859.33610681114551
2220081849.03889318885158.961106811146
2322422048.60139318885193.398606811146
2424782165.22639318885312.773606811146
2520301722.67569659443307.324303405572
2616551547.41389318885107.586106811146
2716931597.9763931888595.0236068111455
2816231484.78889318885138.211106811146
2918051622.10139318885182.898606811145
3017461566.35139318885179.648606811145
3117951641.97639318885153.023606811146
3219261656.85139318885269.148606811145
3316191709.66389318885-90.6638931888545
3419921849.03889318885142.961106811146
3522332048.60139318885184.398606811146
3621922165.2263931888526.7736068111456
3720801722.67569659443357.324303405572
3817681547.41389318885220.586106811145
3918351597.97639318885237.023606811145
4015691484.7888931888584.2111068111455
4119761622.10139318885353.898606811146
4218531566.35139318885286.648606811146
4319651641.97639318885323.023606811145
4416891656.8513931888532.1486068111455
4517781709.6638931888568.3361068111455
4619761849.03889318885126.961106811146
4723972048.60139318885348.398606811146
4826542165.22639318885488.773606811146
4920971722.67569659443374.324303405572
5019631547.41389318885415.586106811145
5116771597.9763931888579.0236068111455
5219411484.78889318885456.211106811146
5320031622.10139318885380.898606811146
5418131566.35139318885246.648606811146
5520121641.97639318885370.023606811145
5619121656.85139318885255.148606811145
5720841709.66389318885374.336106811146
5820801849.03889318885230.961106811146
5921182048.6013931888569.3986068111455
6021502165.22639318885-15.2263931888545
6116081722.67569659443-114.675696594428
6215031547.41389318885-44.4138931888545
6315481597.97639318885-49.9763931888545
6413821484.78889318885-102.788893188854
6517311622.10139318885108.898606811145
6617981566.35139318885231.648606811145
6717791641.97639318885137.023606811145
6818871656.85139318885230.148606811145
6920041709.66389318885294.336106811146
7020771849.03889318885227.961106811146
7120922048.6013931888543.3986068111455
7220512165.22639318885-114.226393188854
7315771722.67569659443-145.675696594428
7413561547.41389318885-191.413893188855
7516521597.9763931888554.0236068111455
7613821484.78889318885-102.788893188854
7715191622.10139318885-103.101393188855
7814211566.35139318885-145.351393188854
7914421641.97639318885-199.976393188854
8015431656.85139318885-113.851393188855
8116561709.66389318885-53.6638931888545
8215611849.03889318885-288.038893188855
8319052048.60139318885-143.601393188855
8421992165.2263931888533.7736068111456
8514731722.67569659443-249.675696594428
8616551547.41389318885107.586106811146
8714071597.97639318885-190.976393188854
8813951484.78889318885-89.7888931888545
8915301622.10139318885-92.1013931888545
9013091566.35139318885-257.351393188854
9115261641.97639318885-115.976393188855
9213271656.85139318885-329.851393188854
9316271709.66389318885-82.6638931888545
9417481849.03889318885-101.038893188854
9519582048.60139318885-90.6013931888546
9622742165.22639318885108.773606811146
9716481722.67569659443-74.6756965944276
9814011547.41389318885-146.413893188855
9914111597.97639318885-186.976393188854
10014031484.78889318885-81.7888931888545
10113941622.10139318885-228.101393188854
10215201566.35139318885-46.3513931888545
10315281641.97639318885-113.976393188855
10416431656.85139318885-13.8513931888545
10515151709.66389318885-194.663893188855
10616851849.03889318885-164.038893188855
10720002048.60139318885-48.6013931888545
10822152165.2263931888549.7736068111455
10919561722.67569659443233.324303405572
11014621547.41389318885-85.4138931888544
11115631597.97639318885-34.9763931888545
11214591484.78889318885-25.7888931888545
11314461622.10139318885-176.101393188854
11416221566.3513931888555.6486068111455
11516571641.9763931888515.0236068111455
11616381656.85139318885-18.8513931888545
11716431709.66389318885-66.6638931888545
11816831849.03889318885-166.038893188855
11920502048.601393188851.39860681114554
12022622165.2263931888596.7736068111456
12118131722.6756965944390.3243034055724
12214451547.41389318885-102.413893188854
12317621597.97639318885164.023606811145
12414611484.78889318885-23.7888931888545
12515561622.10139318885-66.1013931888545
12614311566.35139318885-135.351393188854
12714271641.97639318885-214.976393188854
12815541656.85139318885-102.851393188855
12916451709.66389318885-64.6638931888545
13016531849.03889318885-196.038893188855
13120162048.60139318885-32.6013931888545
13222072165.2263931888541.7736068111456
13316651722.67569659443-57.6756965944276
13413611547.41389318885-186.413893188855
13515061597.97639318885-91.9763931888545
13613601484.78889318885-124.788893188854
13714531622.10139318885-169.101393188854
13815221566.35139318885-44.3513931888545
13914601641.97639318885-181.976393188854
14015521656.85139318885-104.851393188855
14115481709.66389318885-161.663893188855
14218271849.03889318885-22.0388931888545
14317372048.60139318885-311.601393188855
14419412165.22639318885-224.226393188855
14514741722.67569659443-248.675696594428
14614581547.41389318885-89.4138931888544
14715421597.97639318885-55.9763931888545
14814041484.78889318885-80.7888931888545
14915221622.10139318885-100.101393188855
15013851566.35139318885-181.351393188854
15116411641.97639318885-0.976393188854502
15215101656.85139318885-146.851393188855
15316811709.66389318885-28.6638931888545
15419381849.0388931888588.9611068111455
15518682048.60139318885-180.601393188855
15617262165.22639318885-439.226393188855
15714561722.67569659443-266.675696594428
15814451547.41389318885-102.413893188854
15914561597.97639318885-141.976393188855
16013651484.78889318885-119.788893188854
16114871622.10139318885-135.101393188855
16215581566.35139318885-8.35139318885452
16314881641.97639318885-153.976393188855
16416841656.8513931888527.1486068111455
16515941709.66389318885-115.663893188855
16618501849.038893188850.961106811145528
16719982048.60139318885-50.6013931888545
16820792165.22639318885-86.2263931888545
16914941722.67569659443-228.675696594428
17010571151.60274767802-94.6027476780185
17112181202.1652476780215.8347523219813
17211681088.9777476780279.0222523219813
17312361226.290247678029.70975232198147
17410761170.54024767802-94.5402476780185
17511741246.16524767802-72.1652476780185
17611391261.04024767802-122.040247678018
17714271313.85274767802113.147252321981
17814871453.2277476780233.7722523219815
17914831652.79024767802-169.790247678019
18015131769.41524767802-256.415247678019
18113571326.8645510835930.1354489164084
18211651151.6027476780213.3972523219814
18312821202.1652476780279.8347523219813
18411101088.9777476780221.0222523219814
18512971226.2902476780270.7097523219815
18611851170.5402476780214.4597523219814
18712221246.16524767802-24.1652476780185
18812841261.0402476780222.9597523219815
18914441313.85274767802130.147252321981
19015751453.22774767802121.772252321981
19117371652.7902476780284.2097523219814
19217631769.41524767802-6.41524767801863


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.4774123925937370.9548247851874730.522587607406263
170.3177830613741790.6355661227483570.682216938625821
180.1918850330176070.3837700660352150.808114966982393
190.2194964424521290.4389928849042580.780503557547871
200.1828713287849740.3657426575699480.817128671215026
210.1388506413979020.2777012827958040.861149358602098
220.2470668210919270.4941336421838550.752933178908073
230.1865730770935160.3731461541870330.813426922906484
240.2681743220394350.536348644078870.731825677960565
250.3753173479730140.7506346959460290.624682652026986
260.2984712257880210.5969424515760420.701528774211979
270.2399252673916370.4798505347832740.760074732608363
280.2130450390493640.4260900780987290.786954960950636
290.2137688746654890.4275377493309780.786231125334511
300.2297752313907660.4595504627815330.770224768609234
310.1947715355403650.3895430710807310.805228464459635
320.2077651117228980.4155302234457960.792234888277102
330.1621565160742570.3243130321485130.837843483925743
340.1481164301044280.2962328602088570.851883569895572
350.1178312959736240.2356625919472480.882168704026376
360.0973821172219920.1947642344439840.902617882778008
370.1414009615478070.2828019230956150.858599038452193
380.1297822915516910.2595645831033820.87021770844831
390.1397728276513450.2795456553026900.860227172348655
400.1105854094843140.2211708189686280.889414590515686
410.1841247186689650.3682494373379310.815875281331035
420.2348993285677140.4697986571354280.765100671432286
430.2916501478873040.5833002957746070.708349852112696
440.2552543762765740.5105087525531480.744745623723426
450.2319339781760530.4638679563521060.768066021823947
460.2039096313316770.4078192626633540.796090368668323
470.2431477080700390.4862954161400780.756852291929961
480.4738877621658110.9477755243316210.526112237834189
490.5691985323093760.8616029353812490.430801467690624
500.726418882814950.54716223437010.27358111718505
510.6883967611186120.6232064777627760.311603238881388
520.8882423937637190.2235152124725620.111757606236281
530.944877463261830.1102450734763400.0551225367381702
540.9546545717721860.09069085645562880.0453454282278144
550.9811152071373580.03776958572528370.0188847928626418
560.9865139644489280.0269720711021440.013486035551072
570.9978479988944410.004304002211117360.00215200110555868
580.9985628936079760.002874212784048690.00143710639202435
590.998500290558420.002999418883158030.00149970944157901
600.9985432203954620.002913559209076350.00145677960453818
610.9990717312162770.001856537567446600.000928268783723299
620.9991151039029790.001769792194042590.000884896097021293
630.9988719053312270.002256189337546520.00112809466877326
640.9989103460697690.002179307860462710.00108965393023135
650.9989306229093290.00213875418134270.00106937709067135
660.9993975059603050.001204988079389960.000602494039694982
670.9995047596873250.0009904806253494790.000495240312674739
680.9997607135953660.0004785728092682330.000239286404634116
690.9999484555580240.0001030888839515505.15444419757752e-05
700.9999799755985484.00488029040694e-052.00244014520347e-05
710.9999803059758693.9388048262709e-051.96940241313545e-05
720.9999839540974833.20918050348268e-051.60459025174134e-05
730.9999887792284692.24415430626064e-051.12207715313032e-05
740.999994095788111.18084237801416e-055.9042118900708e-06
750.9999921392217381.57215565242674e-057.86077826213369e-06
760.9999907574149911.8485170017804e-059.242585008902e-06
770.9999917059601141.6588079772114e-058.294039886057e-06
780.9999931962960761.36074078485788e-056.8037039242894e-06
790.9999967089921266.58201574797168e-063.29100787398584e-06
800.9999967827487496.43450250216871e-063.21725125108435e-06
810.9999953790095749.24198085107995e-064.62099042553997e-06
820.9999989147619072.17047618646418e-061.08523809323209e-06
830.999999055368061.88926387964161e-069.44631939820804e-07
840.9999988296198942.34076021144642e-061.17038010572321e-06
850.9999995137226139.7255477329988e-074.8627738664994e-07
860.9999996539047156.92190568997736e-073.46095284498868e-07
870.999999722268035.5546393885066e-072.7773196942533e-07
880.9999995861537358.27692529861559e-074.13846264930779e-07
890.9999994841506181.03169876404527e-065.15849382022635e-07
900.9999997829307224.34138555732374e-072.17069277866187e-07
910.9999997341194985.31761004889151e-072.65880502444576e-07
920.9999999593390588.13218832371415e-084.06609416185708e-08
930.9999999348798061.30240387583724e-076.5120193791862e-08
940.9999999010283021.97943395314035e-079.89716976570177e-08
950.9999998612210932.77557813291402e-071.38778906645701e-07
960.9999999140799731.71840054584599e-078.59200272922997e-08
970.999999860121822.79756359989459e-071.39878179994729e-07
980.9999998250211583.49957683513671e-071.74978841756835e-07
990.9999998469509363.06098128076196e-071.53049064038098e-07
1000.9999997471545825.0569083581632e-072.5284541790816e-07
1010.999999812583293.7483341941048e-071.8741670970524e-07
1020.9999996851519436.29696114916214e-073.14848057458107e-07
1030.999999548876739.0224653863278e-074.5112326931639e-07
1040.999999292225961.41554807902720e-067.07774039513601e-07
1050.9999993645267471.27094650632294e-066.35473253161468e-07
1060.9999992972496571.40550068602919e-067.02750343014597e-07
1070.999998958728012.08254397902849e-061.04127198951424e-06
1080.9999991521463351.69570732985606e-068.47853664928028e-07
1090.9999999198513551.60297289800614e-078.01486449003072e-08
1100.9999998710871182.57825763589013e-071.28912881794506e-07
1110.9999997606059254.78788149181415e-072.39394074590708e-07
1120.9999995839660988.32067803672844e-074.16033901836422e-07
1130.9999994948233761.01035324743263e-065.05176623716316e-07
1140.9999994802675611.03946487774176e-065.1973243887088e-07
1150.9999994524008361.09519832770822e-065.4759916385411e-07
1160.9999991628744191.67425116273500e-068.37125581367501e-07
1170.9999985308737672.93825246625425e-061.46912623312712e-06
1180.9999984927537093.01449258219781e-061.50724629109890e-06
1190.9999983229212913.35415741711378e-061.67707870855689e-06
1200.9999996178671167.64265768331992e-073.82132884165996e-07
1210.9999998933733432.13253314532942e-071.06626657266471e-07
1220.999999818611413.62777181927492e-071.81388590963746e-07
1230.9999999493565521.01286896749015e-075.06434483745077e-08
1240.9999999120661831.7586763410066e-078.793381705033e-08
1250.9999998422740743.15451851057455e-071.57725925528728e-07
1260.9999997331275695.33744862044489e-072.66872431022244e-07
1270.9999996892012646.21597472934654e-073.10798736467327e-07
1280.99999943877581.12244840081939e-065.61224200409695e-07
1290.9999989356780242.12864395257073e-061.06432197628536e-06
1300.999999427726231.14454753850939e-065.72273769254693e-07
1310.9999993909970021.21800599684692e-066.09002998423462e-07
1320.9999999357444851.28511029699840e-076.42555148499201e-08
1330.9999999456898831.08620234260407e-075.43101171302035e-08
1340.9999999155595621.6888087503027e-078.4440437515135e-08
1350.999999827304643.45390721431444e-071.72695360715722e-07
1360.999999681112796.37774418162381e-073.18887209081191e-07
1370.9999995163213779.67357246883727e-074.83678623441864e-07
1380.9999992181697841.56366043213991e-067.81830216069957e-07
1390.9999987851041472.42979170547043e-061.21489585273522e-06
1400.999997645868014.70826397889382e-062.35413198944691e-06
1410.9999975123879174.97522416654354e-062.48761208327177e-06
1420.9999950610824989.87783500307583e-064.93891750153791e-06
1430.9999977378293514.52434129751268e-062.26217064875634e-06
1440.9999964692147257.06157054924961e-063.53078527462480e-06
1450.9999948623953031.02752093948036e-055.1376046974018e-06
1460.9999902717740881.94564518248321e-059.72822591241607e-06
1470.999980945438123.81091237617347e-051.90545618808673e-05
1480.99996251312627.49737476012257e-053.74868738006128e-05
1490.9999284328706930.0001431342586141217.15671293070605e-05
1500.9998940027453570.0002119945092869710.000105997254643485
1510.9998940207980520.0002119584038961510.000105979201948076
1520.999817241528260.0003655169434797720.000182758471739886
1530.9996499702514620.0007000594970758940.000350029748537947
1540.9995311834273330.0009376331453337070.000468816572666854
1550.9992521017508740.001495796498252000.000747898249125998
1560.9998484865948990.0003030268102022830.000151513405101141
1570.9998217739455420.000356452108915760.00017822605445788
1580.9996466639037490.0007066721925024920.000353336096251246
1590.999472246590460.001055506819079270.000527753409539634
1600.9991619418563270.001676116287346380.00083805814367319
1610.998794430703550.00241113859289920.0012055692964496
1620.9981324186713650.003735162657269710.00186758132863485
1630.9965413176793270.006917364641346640.00345868232067332
1640.9964306423968490.007138715206302330.00356935760315117
1650.996302913049990.007394173900021520.00369708695001076
1660.9926248205431520.01475035891369500.00737517945684748
1670.9869490046325480.02610199073490320.0130509953674516
1680.9909147209212230.01817055815755350.00908527907877673
1690.9822710463111070.03545790737778660.0177289536888933
1700.9718771603734020.0562456792531960.028122839626598
1710.9497551587281750.1004896825436500.0502448412718249
1720.9122010401935920.1755979196128150.0877989598064075
1730.8524618585293440.2950762829413120.147538141470656
1740.7823573198125330.4352853603749340.217642680187467
1750.6569428186407690.6861143627184620.343057181359231
1760.550072850089640.8998542998207190.449927149910359


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