Multiple Linear Regression - Estimated Regression Equation
TOT[t] = + 0.554470836380811 + 0.603776119890983SMF[t] + 0.140659978436731SSF[t] + 0.250930273088723NS[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.5544708363808110.1203684.60659e-064e-06
SMF0.6037761198909830.004448135.755900
SSF0.1406599784367310.00292748.058800
NS0.2509302730887230.002144117.013700


Multiple Linear Regression - Regression Statistics
Multiple R0.999992807831922
R-squared0.999985615715572
Adjusted R-squared0.999985320148083
F-TEST (value)3383273.38241475
F-TEST (DF numerator)3
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.204753324074159
Sum Squared Residuals6.12089286303498


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1100100.091107978024-0.0911079780243972
2102102.071371731632-0.0713717316316115
3103.65103.706838207988-0.0568382079881307
4104.974105.046935029312-0.0729350293120359
5104.641104.720899739651-0.0798997396509742
6104.902104.974372990177-0.0723729901770181
7105.695105.757526789246-0.0625267892460743
8106.489106.562634266316-0.0736342663156355
9107.146107.235580330256-0.0895803302556037
10107.695107.773960691588-0.0789606915883473
11107.711107.771652961124-0.0606529611238597
12108.313108.388502647876-0.0755026478763158
13108.124108.201713387264-0.0777133872639922
14109.615109.685889591649-0.0708895916494314
15111.34111.405993688865-0.0659936888650848
16110.717110.791305252317-0.0743052523167984
17111.217111.282660398587-0.0656603985872617
18111.452111.515811659559-0.0638116595587272
19111.611111.679967392642-0.0689673926423379
20111.717111.759142288899-0.0421422888991677
21112.062112.089277691941-0.0272776919405687
22112.842112.887659105535-0.0456591055350281
23113.241113.283179860092-0.0421798600924466
24113.015113.067643050529-0.0526430505291557
25113.998114.061408207954-0.0634082079540899
26114.936115.004969022565-0.0689690225646308
27114.245114.30751796077-0.0625179607703714
28114.437114.483224668663-0.0462246686631883
29115.286115.320420558319-0.0344205583191092
30116.071116.105037306136-0.0340373061359615
31117.807117.825011104025-0.0180111040253013
32118.255118.269126474313-0.0141264743129846
33118.969118.9666837221640.00231627783613826
34120.333120.3251334993620.00786650063750944
35121.998121.9814514663820.0165485336177504
36123.239123.2097922690640.0292077309360662
37124.666124.6212795356820.0447204643175857
38126.54126.5053117937760.034688206223558
39127.336127.3025156737160.0334843262837629
40127.871127.8328658204670.0381341795333484
41130.115130.0706594762490.0443405237509795
42132.773132.7090026083040.0639973916958607
43134.265134.1958798631440.0691201368563661
44134.596134.5273443584020.0686556415976705
45134.38134.2949326865390.0850673134614486
46135.121135.0458635599290.0751364400714272
47135.136135.0749289513290.0610710486705723
48135.336135.2855384302360.0504615697635877
49135.284135.2030338122920.0809661877081743
50137.144137.0661318238540.0778681761462983
51140.349140.2591012793770.0898987206233708
52143.264143.1660604159240.0979395840764952
53144.381144.2539054132850.127094586715131
54145.881145.7578395669090.123160433091286
55146.497146.3982941333190.0987058666810998
56148.857148.7725877459590.0844122540406527
57150.78150.7061644181830.0738355818165579
58153.293153.2100182754690.0829817245314101
59157.641157.5579908314320.0830091685684487
60162.182162.0941904955320.087809504467982
61167.86167.7460531632960.113946836704119
62175.245175.0917042587140.153295741285854
63179.32179.1872840692120.132715930787851
64184.979184.8618116500550.117188349944914
65188.482188.3672741724460.114725827554161
66192.86192.7241345858790.135865414120945
67195.475195.3440503044810.130949695519251
68198.4198.2798635276880.120136472312206
69200.598200.4626144252470.135385574753396
70202.121202.002889691520.118110308480319
71205.875205.7018412218470.17315877815317
72207.085206.9143766891470.17062331085302
73209.204209.0198703484960.184129651504021
74212.246211.8887558741350.35724412586545
75215.466215.138672187250.327327812750191
76216.693216.4484552883640.244544711636501
77219.019218.6205379690810.39846203091851
78217.924217.6419923239670.282007676033185
79217.978217.7644226273190.21357737268137
80218.186217.9380025841320.247997415868313
81218.54218.3940429791520.145957020848188
82217.886218.034701488991-0.148701488990848
83216.347216.489029890987-0.14202989098696
84219.825219.985649409864-0.160649409863758
85221.956222.114563359648-0.15856335964844
86227.184227.421913923248-0.237913923248485
87229.247229.472485079325-0.225485079325266
88233.33233.495142388205-0.165142388204502
89236.987237.002574355605-0.0155743556047465
90240.027239.9235115692940.10348843070624
91245.433245.519805925509-0.0868059255086306
92246.641246.848673583748-0.207673583748301
93250.328250.67217194795-0.344171947949936
94250.849251.104263770085-0.255263770084889
95251.435251.455048432343-0.0200484323430785
96252.091251.9588752895610.132124710439137
97252.946253.280221835573-0.334221835572564
98252.773253.093971648873-0.320971648873151
99250.677250.994137448059-0.317137448059293
100250.105250.0804302909430.0245697090571143
101251.788251.874756148226-0.0867561482262184
102250.212250.257796593654-0.0457965936540713
103248.073248.0681159679820.0048840320175077
104244.468244.687569555496-0.219569555496165
105244.727244.988075430884-0.261075430884467
106244.034244.13417096473-0.100170964730257
107243.588243.3605515748470.227448425152572
108236.447236.467019938871-0.0200199388705524
109224.906225.07684305847-0.17084305846994
110221.934222.414748523243-0.480748523242911
111224.903225.150366075224-0.247366075223814
112223.798224.036251820922-0.238251820922401
113218.529218.535251824946-0.00625182494640918
114217.521217.769108571727-0.248108571727302
115219.971220.239701244014-0.26870124401388
116223.841223.929268970899-0.0882689708989691
117223.764223.909863811306-0.145863811306387
118223.664223.754183948312-0.0901839483118927
119217.678218.064722021235-0.386722021234932
120218.478218.854325998926-0.376325998926023
121214.815215.154823831488-0.339823831487951
122215.143215.224160415952-0.0811604159516569
123218.381218.1716783208580.209321679141601
124219.962220.163456481771-0.201456481771034
125218.933219.409444535996-0.476444535995782
126218.36219.113894886918-0.753894886918212
127217.72218.021578023808-0.301578023807676
128219.934219.7990916365030.134908363496632
129220.842220.4090950450740.432904954925626
130220.584220.1623626592560.421637340744278
131216.346216.592774073896-0.246774073896474
132220.221219.9203082463030.300691753697073
133222.182221.8938353421470.28816465785268
134225.455225.2122839077570.242716092243112
135226.42226.489138747051-0.0691387470505351
136228.287228.345295789292-0.0582957892916089
137231.349231.504633593601-0.155633593601202
138231.015231.084531848508-0.0695318485081521
139232.241231.9512444806310.289755519368842
140233.688233.833394673891-0.145394673890803
141236.667236.5682059680930.0987940319067558
142238.439238.3231191512820.115880848718051
143239.488239.05755849730.430441502699525
144238.741238.0880301744030.652969825597271
145238.5238.2202213366890.279778663311093
146242.116241.6823365366380.433663463362516
147243.923243.4690747652340.453925234766004
148245.813245.7019695279490.111030472051273
149247.143246.8974900792540.245509920746357
150246.381246.420609839211-0.0396098392105676


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
79.08317216186449e-091.8166344323729e-080.999999990916828
81.42207730361256e-112.84415460722513e-110.999999999985779
91.96960444102696e-143.93920888205393e-140.99999999999998
101.28603927790831e-162.57207855581663e-161
113.34991441967755e-196.6998288393551e-191
126.4318196606254e-221.28636393212508e-211
132.66022818158182e-245.32045636316363e-241
145.56976856150379e-271.11395371230076e-261
152.21602696562763e-294.43205393125525e-291
163.88215020925935e-327.76430041851871e-321
171.68211651303936e-343.36423302607872e-341
183.69992066974484e-377.39984133948968e-371
196.5816593099045e-401.3163318619809e-391
201.17555246415895e-422.3511049283179e-421
211.80425384517561e-453.60850769035122e-451
225.10172826281285e-481.02034565256257e-471
231.81171809984101e-503.62343619968201e-501
243.38381709627757e-536.76763419255515e-531
258.26562043122762e-561.65312408624552e-551
264.31677873665809e-588.63355747331618e-581
278.43656615724694e-611.68731323144939e-601
282.30737256464957e-634.61474512929914e-631
294.64398686669465e-669.2879737333893e-661
301.17313129545941e-682.34626259091883e-681
312.0240703127449e-714.0481406254898e-711
327.63987284438889e-741.52797456887778e-731
331.56291064315687e-763.12582128631373e-761
343.11997760254169e-796.23995520508338e-791
357.22473839442161e-821.44494767888432e-811
361.14949276515891e-842.29898553031782e-841
378.47555449082476e-871.69511089816495e-861
381.60670034521531e-893.21340069043062e-891
392.3845481549263e-924.7690963098526e-921
403.48325020012655e-956.9665004002531e-951
416.16549190118053e-981.23309838023611e-971
421.0687049958242e-1002.1374099916484e-1001
431.56995763633584e-1033.13991527267168e-1031
443.30765861344811e-1066.61531722689622e-1061
451.65663378875891e-1083.31326757751781e-1081
462.37679862196312e-1114.75359724392625e-1111
473.85523830926257e-1147.71047661852513e-1141
485.23741275383765e-1171.04748255076753e-1161
497.9875377185933e-1201.59750754371866e-1191
501.03420455359062e-1222.06840910718123e-1221
513.20745593987762e-1256.41491187975523e-1251
525.80641647611855e-1281.16128329522371e-1271
531.42291396102137e-1302.84582792204273e-1301
542.11665945897152e-1334.23331891794304e-1331
551.3925946761349e-1352.7851893522698e-1351
561.83430534665646e-1383.66861069331292e-1381
572.76443875077809e-1415.52887750155617e-1411
583.44895690915686e-1446.89791381831372e-1441
599.60857345775374e-1461.92171469155075e-1451
601.83044172746187e-1483.66088345492375e-1481
612.29584555861353e-1514.59169111722705e-1511
625.25115678854616e-1541.05023135770923e-1531
639.19066929687892e-1571.83813385937578e-1561
641.43646679353994e-1592.87293358707988e-1591
652.66097989146383e-1625.32195978292766e-1621
663.66781292258752e-1657.33562584517504e-1651
675.37824120636256e-1681.07564824127251e-1671
687.23671220055103e-1711.44734244011021e-1701
691.1356549353138e-1732.27130987062761e-1731
703.0822541279165e-1766.16450825583301e-1761
715.80132800616972e-1791.16026560123394e-1781
721.31250558631973e-1812.62501117263946e-1811
737.40429097849086e-1841.48085819569817e-1831
742.92131541743151e-575.84263083486301e-571
757.03639794246443e-521.40727958849289e-511
762.345313422001e-524.690626844002e-521
771.18538851769208e-462.37077703538416e-461
781.04180114596997e-462.08360229193993e-461
792.78898768990298e-465.57797537980596e-461
801.26636412149165e-452.5327282429833e-451
817.00072322768813e-431.40014464553763e-421
822.4969451165419e-264.99389023308381e-261
832.94577375515921e-205.89154751031842e-201
841.55342845891431e-163.10685691782862e-161
853.16753207148315e-146.3350641429663e-140.999999999999968
865.13548742194822e-121.02709748438964e-110.999999999994865
871.0067277895695e-102.01345557913899e-100.999999999899327
883.21574911104828e-106.43149822209655e-100.999999999678425
891.91883130370157e-103.83766260740315e-100.999999999808117
901.22362280415675e-102.4472456083135e-100.999999999877638
911.22587875434513e-102.45175750869026e-100.999999999877412
924.41777641561159e-108.83555283122319e-100.999999999558222
931.49179105717415e-082.98358211434831e-080.999999985082089
945.29955545306423e-081.05991109061285e-070.999999947004445
952.8956144709448e-085.79122894188959e-080.999999971043855
962.2683176240142e-084.5366352480284e-080.999999977316824
972.37471030362519e-074.74942060725039e-070.99999976252897
981.54518855621134e-063.09037711242268e-060.999998454811444
996.68782406123056e-061.33756481224611e-050.999993312175939
1004.54266164676134e-069.08532329352267e-060.999995457338353
1011.36690222109063e-052.73380444218125e-050.999986330977789
1021.02469141323505e-052.04938282647009e-050.999989753085868
1035.9557794681194e-061.19115589362388e-050.999994044220532
1048.79573362320771e-061.75914672464154e-050.999991204266377
1053.70936170067502e-057.41872340135005e-050.999962906382993
1060.0001359702961208540.0002719405922417080.999864029703879
1070.002320462053515840.004640924107031670.997679537946484
1080.006905443040916860.01381088608183370.993094556959083
1090.008174897393422220.01634979478684440.991825102606578
1100.02152024236593060.04304048473186120.978479757634069
1110.03709585254497590.07419170508995180.962904147455024
1120.04346397620857470.08692795241714950.956536023791425
1130.03343213421271450.06686426842542890.966567865787286
1140.03128765503004110.06257531006008210.968712344969959
1150.02978382832617120.05956765665234240.970216171673829
1160.03781726130321510.07563452260643020.962182738696785
1170.04137027028273360.08274054056546720.958629729717266
1180.11398370964550.2279674192910.8860162903545
1190.1262239334995410.2524478669990820.873776066500459
1200.1943209749955840.3886419499911670.805679025004416
1210.226569705750580.453139411501160.77343029424942
1220.2596076024502250.519215204900450.740392397549775
1230.6123334408139260.7753331183721470.387666559186074
1240.8912659190176440.2174681619647110.108734080982356
1250.9836828281472260.03263434370554860.0163171718527743
1260.994266501922810.01146699615437980.00573349807718992
1270.9926682934939220.01466341301215610.00733170650607803
1280.9962566993489540.00748660130209140.0037433006510457
1290.9994452481403570.001109503719286040.000554751859643021
1300.9999983055222283.38895554423927e-061.69447777211964e-06
1310.9999984274456723.14510865644035e-061.57255432822018e-06
1320.9999960957359887.80852802316088e-063.90426401158044e-06
1330.9999889571611052.20856777892397e-051.10428388946198e-05
1340.9999815048340823.69903318364012e-051.84951659182006e-05
1350.999943580963610.0001128380727795435.64190363897713e-05
1360.99988286431310.000234271373800460.00011713568690023
1370.9998616587030870.0002766825938256930.000138341296912847
1380.9998790734929690.0002418530140621490.000120926507031075
1390.9996205125329470.0007589749341067370.000379487467053368
1400.9987449707555860.002510058488827870.00125502924441394
1410.995547016434190.008905967131620120.00445298356581006
1420.9861199607169460.02776007856610850.0138800392830543
1430.9832517550193780.03349648996124350.0167482449806218


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1150.839416058394161NOK
5% type I error level1230.897810218978102NOK
10% type I error level1300.948905109489051NOK