Multiple Linear Regression - Estimated Regression Equation
1[t] = -0.025509571538195 + 1.02298367182292`2`[t] -1.54009199054944`3`[t] + 1.20990317510017`4`[t] + 0.00903370786090523`5`[t] -8.02181521442909e-05`6`[t] -0.00890300581001685`7`[t] -0.0980023144493746`8`[t] -0.0709440502183449`9`[t] + 0.350662083674589`10`[t] -0.0979264916368679`11`[t] + 0.0450881141914299`12`[t] + 0.155991081761523`13`[t] + 0.0164940877869965`14`[t] -0.00531210425686906`15`[t] + 0.0162011040143489`16`[t] -0.0152730522117341`17`[t] -0.00130547807012773`18`[t] + 0.000456241898488734`19`[t] -0.00407167604273851`20`[t] -0.0185009383539669`21`[t] + 0.0229195037323529`22`[t] -0.0010301365685055`23`[t] + 0.000872362770270996`24`[t] -0.00788991866450968`25`[t] + 0.028278525713804`26`[t] + 0.00778844841456031`27`[t] -0.0371256573823183`28`[t] + 0.00870955994557059`29`[t] + 0.000728801612223352`30`[t] -0.00103897681710499`31`[t] + 0.00163512938489379`32`[t] -0.000687585717098519`33`[t] -0.0148612374310191`34`[t] + 0.0316461691447457`35`[t] -0.0164893467445095`36`[t] + 0.00351558897469833`37`[t] -0.00584471157584523`38`[t] + 0.00305706625324433`39`[t] -0.00141489137610809`40`[t] + 0.0024844088867291`41`[t] -0.00107268304507313`42`[t] + 0.000194191239650074`43`[t] + 6.48585714621002e-06`44`[t] + 0.000859048392497709`45`[t] + 4.14287296047386e-05`46`[t] + 0.000719264777398322`47`[t] -0.00065174040309608`48`[t] + 0.000179324868785439`49`[t] + 0.000157873312973866`50`[t] + 0.530898700823841`51`[t] -0.531882417328776`52`[t] -0.000959859532930707`53`[t] -0.000678931893462437`54`[t] + 0.000505900404539507`55`[t] -0.000303779451876726`56`[t] + 0.000164120567008593`57`[t] -0.00331962615319036`58`[t] + 0.0153562182194979`59`[t] -0.000675389974621329`60`[t] -0.00455251306316104`61`[t] + 0.0104261769239216`62`[t] -0.0122027895961027`63`[t] + 0.00539850622096554`64\r`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.0255095715381950.028103-0.90770.3665040.183252
`2`1.022983671822920.0195852.246300
`3`-1.540091990549440.134116-11.483300
`4`1.209903175100170.11564710.46200
`5`0.009033707860905230.0176820.51090.6107070.305353
`6`-8.02181521442909e-050.000152-0.52620.6000760.300038
`7`-0.008903005810016850.01747-0.50960.6115960.305798
`8`-0.09800231444937460.010888-9.00100
`9`-0.07094405021834490.019897-3.56560.000590.000295
`10`0.3506620836745890.02485614.107900
`11`-0.09792649163686790.014133-6.928700
`12`0.04508811419142990.0102984.37833.3e-051.6e-05
`13`0.1559910817615230.01141413.666500
`14`0.01649408778699650.0130261.26630.2087650.104383
`15`-0.005312104256869060.005216-1.01850.311230.155615
`16`0.01620110401434890.0128941.25650.2122750.106138
`17`-0.01527305221173410.012998-1.1750.2431690.121585
`18`-0.001305478070127730.001302-1.00240.3188780.159439
`19`0.0004562418984887340.000520.87810.3822940.191147
`20`-0.004071676042738510.001339-3.04070.0031090.001555
`21`-0.01850093835396690.007252-2.55120.0124640.006232
`22`0.02291950373235290.0072583.15780.0021780.001089
`23`-0.00103013656850550.00031-3.32570.0012880.000644
`24`0.0008723627702709960.0002733.19510.0019410.00097
`25`-0.007889918664509680.002151-3.6680.0004180.000209
`26`0.0282785257138040.0077823.63370.0004690.000235
`27`0.007788448414560310.0028812.70310.0082440.004122
`28`-0.03712565738231830.006288-5.904600
`29`0.008709559945570590.0033352.61190.0105850.005293
`30`0.0007288016122233520.0006371.14460.2554660.127733
`31`-0.001038976817104990.001347-0.77130.4425970.221299
`32`0.001635129384893790.0025150.65020.5172380.258619
`33`-0.0006875857170985190.000511-1.34490.18210.09105
`34`-0.01486123743101910.003368-4.41192.9e-051.4e-05
`35`0.03164616914474570.0071734.41182.9e-051.4e-05
`36`-0.01648934674450950.003776-4.36633.4e-051.7e-05
`37`0.003515588974698330.0009963.53060.0006620.000331
`38`-0.005844711575845230.002456-2.37940.0195030.009752
`39`0.003057066253244330.0009323.28050.0014860.000743
`40`-0.001414891376108090.000986-1.4350.1548380.077419
`41`0.00248440888672910.0018891.31490.1919470.095973
`42`-0.001072683045073130.000558-1.92070.0580130.029006
`43`0.0001941912396500740.0005150.37730.7068920.353446
`44`6.48585714621002e-060.0001630.03970.9684440.484222
`45`0.0008590483924977090.0008191.0490.2970690.148535
`46`4.14287296047386e-057.5e-050.5490.584390.292195
`47`0.0007192647773983220.0028230.25480.7994910.399746
`48`-0.000651740403096080.004587-0.14210.8873260.443663
`49`0.0001793248687854390.0018610.09630.923470.461735
`50`0.0001578733129738668.9e-051.77180.0798930.039947
`51`0.5308987008238410.03828113.868300
`52`-0.5318824173287760.039017-13.63200
`53`-0.0009598595329307070.000455-2.10870.0378130.018907
`54`-0.0006789318934624370.001265-0.53680.5927490.296374
`55`0.0005059004045395070.0003061.65080.1023510.051175
`56`-0.0003037794518767260.000467-0.65090.5167940.258397
`57`0.0001641205670085930.0009580.17140.8643070.432154
`58`-0.003319626153190360.002804-1.18390.2396410.11982
`59`0.01535621821949790.0134881.13850.2580130.129006
`60`-0.0006753899746213290.000929-0.72660.4693790.234689
`61`-0.004552513063161040.005699-0.79890.4265250.213262
`62`0.01042617692392160.0099781.04490.298930.149465
`63`-0.01220278959610270.012369-0.98650.3265790.163289
`64\r`0.005398506220965540.0029031.85950.0662960.033148


Multiple Linear Regression - Regression Statistics
Multiple R0.99999983320404
R-squared0.999999666408108
Adjusted R-squared0.99999942758664
F-TEST (value)4187226.86201794
F-TEST (DF numerator)63
F-TEST (DF denominator)88
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.00759373609407278
Sum Squared Residuals0.00507450485224528


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
177.577.5010566922501-0.00105669225007901
283.883.79312722129330.00687277870674004
394.694.6045633667348-0.00456336673476139
483.583.49314332889640.00685667110363838
591.791.6933589602750.00664103972497848
688.988.9100370719864-0.0100370719864286
774.974.89797891764840.00202108235164026
881.381.29701521379960.00298478620042535
99292.0073823990371-0.0073823990371042
1092.792.69598121379220.00401878620783881
119292.0004729827473-0.000472982747267363
1284.784.7045786303779-0.00457863037793139
1392.792.69641386165710.00358613834293547
1490.690.60411253833-0.00411253833001085
1598.598.49547947342190.00452052657810145
1686.986.89441995865280.0055800413471931
1793.693.5941062002020.00589379979798595
1896.496.4020251686609-0.00202516866088677
1979.779.7009940899816-0.000994089981628307
2083.783.7053293590034-0.00532935900342883
2191.291.2081928644646-0.00819286446457217
2297.397.29389245310540.00610754689457841
2392.392.3046621509037-0.00466215090364907
2481.481.3904814839960.00951851600403536
2589.589.5060651046722-0.00606510467216721
2687.287.19562259580020.00437740419978808
2795.495.39465201578760.00534798421237557
289392.99541297234410.00458702765589669
2991.191.09539970098710.00460029901290737
3092.492.4103103422331-0.0103103422330993
3183.483.4117714900902-0.0117714900902215
3281.581.49741126988370.00258873011626271
3395.195.1023633445189-0.00236334451889685
34100.6100.606794702312-0.00679470231172035
3591.791.7040150911227-0.00401509112265142
3684.984.9142689917392-0.0142689917392349
3792.692.6080207014794-0.00802070147942071
3890.590.49560653889210.00439346110792817
3997.197.09761616974180.00238383025818656
4094.694.6047937868316-0.00479378683157077
4189.889.7953178616310.00468213836902799
4295.895.7886809598870.0113190401129601
4387.987.9117424514388-0.0117424514387607
4481.181.09240509468520.0075949053147491
45100.8100.800768222465-0.000768222464527719
46103.3103.2877300343590.0122699656407447
479291.99826156782450.00173843217546366
4896.196.1030021656202-0.0030021656202132
4990.290.2045411976938-0.00454119769381836
5091.791.7022841710682-0.00228417106822243
51105.7105.6898922632550.0101077367454556
529898.0094294328868-0.00942943288683069
5391.491.39097816076460.00902183923540152
54106.2106.201889344876-0.00188934487627839
5589.889.79631481044840.00368518955162263
5689.289.19244862725530.00755137274467104
57105.6105.5971189854910.00288101450923717
58104103.9897690574040.010230942596477
59100.3100.2982937567850.00170624321449777
60102.5102.4974936565440.00250634345616184
6196.596.5004017593771-0.000401759377130668
629594.99687157444570.00312842555431857
63106.5106.50082607631-0.000826076309637328
64102.1102.0961367118940.00386328810635078
6596.396.3039538673758-0.00395386737579088
66108.4108.40364959467-0.00364959466976989
678787.0019789826915-0.00197898269152419
6890.790.7123709658751-0.0123709658750502
69107.9107.8986499889270.00135001107268127
70101.2101.203441293924-0.00344129392414656
71104.7104.6916070690410.00839293095915049
72103.7103.6966644174330.00333558256708479
7399.399.29789292410410.00210707589590814
7499.699.602843325229-0.00284332522904905
75113.9113.895652392610.00434760739046396
7697.297.2043584846093-0.00435848460928993
77106.2106.203416607965-0.00341660796509526
78110.7110.712625168668-0.0126251686678056
7989.689.6046805634245-0.00468056342449926
8093.393.28850736647730.0114926335227247
81107.6107.605067453832-0.00506745383179277
82111.7111.6952901892230.00470981077664919
83106.9106.909524360946-0.00952436094624044
84102.6102.5989483661140.00105163388574242
85105.8105.7994919540830.000508045917151207
86103.7103.703880016832-0.00388001683184729
87115.8115.795660628560.00433937144023789
88103.8103.7953433181420.0046566818583738
89108.2108.204724551916-0.00472455191560615
90115.5115.4948786538830.005121346116995
91100.5100.4897939428510.0102060571493481
92101.1101.108154485011-0.00815448501055925
93108.6108.5948876402420.00511235975826125
94119.5119.4938953156480.00610468435220571
95113.6113.606044696467-0.00604469646746757
96105.9105.8941875726170.00581242738298892
97112.3112.301993034705-0.00199303470517053
98112.7112.6944157930680.00558420693219483
99113.4113.408467960114-0.00846796011418185
100117.3117.302099101429-0.00209910142905809
101109.4109.3952325139740.0047674860255803
102117.8117.7913875926610.00861240733885242
103105.6105.5982094177290.00179058227122495
10496.396.3000635073166-6.35073165620299e-05
105117.3117.308652564087-0.00865256408694648
106116.4116.403150003406-0.0031500034056215
10799.299.2095221743593-0.00952217435924153
108100.8100.801400570446-0.00140057044628829
10990.490.39835887892350.00164112107650526
11092.192.09700890592120.00299109407880995
111101.8101.807208045239-0.00720804523929371
11293.793.69919964080150.000800359198515408
1139696.0007206835888-0.000720683588766519
114102101.9928175121850.00718248781528856
11589.289.19838123573730.00161876426266864
1168988.99811131472860.00188868527136642
117105.9105.906959592062-0.00695959206247239
118105.2105.197298807460.00270119253995069
119100.2100.200998447764-0.000998447763840416
12097.597.48974767053550.0102523294644937
12195.495.4077373530691-0.00773735306909729
122100.6100.601825874549-0.00182587454867054
123114114.003891099043-0.0038910990426522
124105.1105.0977174402150.00228255978547918
125101.5101.509564109966-0.00956410996563589
126115.5115.4929897058770.00701029412266441
12795.595.49986941471010.000130585289913172
12896.596.49560862207090.00439137792910208
129114.6114.60379367727-0.00379367726970594
130110.4110.3945167691880.00548323081194814
131109108.9977447388220.00225526117847706
132104.8104.7959541137960.00404588620425834
133103.9103.8919257409330.00807425906727216
134107.4107.404859698165-0.00485969816522837
135124.8124.7991977439330.000802256067281177
136108.1108.105663136628-0.00566313662834806
137115.9115.909489637948-0.0094896379475441
138111.2111.201828484941-0.00182848494082401
13995.695.59651930994550.00348069005445204
140103.3103.304348007061-0.00434800706102899
141117.7117.70747768056-0.00747768055961866
142110.5110.4949535151740.005046484825869
143109.2109.201463391694-0.00146339169423313
144105.8105.7942196388120.00578036118756203
145103.8103.800421326208-0.000421326207594599
146102.1102.100100515095-0.000100515095429299
14797.197.100556271519-0.000556271519025742
148101.2101.200321424997-0.00032142499737803
149102.8102.800176918354-0.000176918354219694
150108.1108.10004669105-4.6691050406408e-05
15197.797.7002606318329-0.000260631832859829
152121.8121.7999578248824.2175118356487e-05


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
673.83391178375063e-397.66782356750125e-391
681.06061849058513e-502.12123698117026e-501
697.36506566040947e-631.47301313208189e-621
708.31717690620121e-791.66343538124024e-781
711.08942359750675e-902.1788471950135e-901
721.09724619533021e-1032.19449239066042e-1031
733.89267509319337e-1177.78535018638673e-1171
741.99123189982405e-1293.98246379964811e-1291
755.95351337724247e-1361.19070267544849e-1351
766.32959569517309e-1491.26591913903462e-1481
772.81306652891978e-1675.62613305783956e-1671
782.98589153373451e-1735.97178306746902e-1731
799.99086690436087e-1851.99817338087217e-1841
801.01295105409723e-2012.02590210819445e-2011
811.24528118250803e-2112.49056236501606e-2111
821.52765456098729e-2303.05530912197457e-2301
838.60963907074478e-2391.72192781414896e-2381
849.70705480585013e-2501.94141096117003e-2491
852.58037956991753e-2465.16075913983506e-2461


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level191NOK
5% type I error level191NOK
10% type I error level191NOK