Multiple Linear Regression - Estimated Regression Equation
PRICE[t] = -104.889303810197 + 0.117702952778932PRODUCTION[t] + 0.0480947516728822RENEW_RISID[t] -0.00712403902713777RENEW_IND[t] + 0.0721328701854039GOLD[t] + 0.00242154636140922DOWJONES[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-104.88930381019722.317008-4.74e-062e-06
PRODUCTION0.1177029527789320.0372223.16220.0017630.000881
RENEW_RISID0.04809475167288220.0099264.84542e-061e-06
RENEW_IND-0.007124039027137770.003516-2.02620.0438280.021914
GOLD0.07213287018540390.00490314.711600
DOWJONES0.002421546361409220.0005154.70194e-062e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.91056701374291
R-squared0.829132286516682
Adjusted R-squared0.825659365510924
F-TEST (value)238.742051760431
F-TEST (DF numerator)5
F-TEST (DF denominator)246
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation9.96317269690671
Sum Squared Residuals24419.1433063433


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
117.9827.5116865367154-9.53168653671538
217.8322.6352623611023-4.80526236110228
319.4525.9667958901441-6.51679589014407
421.0426.0977420475841-5.05774204758409
520.0327.6146839120432-7.58468391204316
620.0125.4098213712868-5.39982137128684
719.6427.9086688265226-8.26866882652265
818.5227.4087925033978-8.88879250339784
919.5926.5756228480577-6.9856228480577
1020.0928.2360519738204-8.14605197382035
1119.8229.7792430398659-9.95924303986591
1221.0931.5330933767092-10.4430933767092
1322.6418.15960564971134.48039435028872
1422.1116.71795951019355.39204048980653
1520.4218.17780729693852.24219270306151
1618.5816.10308277178812.47691722821185
1718.2417.91873706340910.321262936590915
1816.8716.8896948367076-0.0196948367076275
1918.6416.02873660628712.61126339371294
2027.1711.954440507645015.2155594923550
2133.6913.636110127620320.0538898723797
2235.9214.675767010662221.2442329893378
2332.315.873851101042816.4261488989572
2427.3415.335846582988512.0041534170115
2524.9616.09080061609468.86919938390539
2620.5215.58305284887244.93694715112758
2719.8618.48034195890591.37965804109407
2820.8216.91926996587563.90073003412445
2921.2417.01839627006084.22160372993919
3020.216.34396601038803.85603398961203
3121.4218.81576087243262.60423912756742
3221.6914.76458126281366.92541873718637
3321.8613.19932676825238.66067323174775
3423.2316.06914901243677.16085098756328
3522.4715.66823307904256.80176692095752
3619.5216.23213127246143.28786872753857
3718.8217.0029907957281.81700920427199
381917.04176558863241.95823441136759
3918.9218.12466566637410.795334333625948
4020.2417.91301663930152.32698336069847
4120.9419.13789047082011.80210952917992
4222.3815.81397561276106.56602438723903
4321.7617.30976447032634.45023552967367
4421.3515.07159284313806.27840715686195
4521.915.61275192418586.28724807581424
4621.6916.15363160673485.53636839326525
4720.3414.24935845857596.09064154142409
4819.4116.15948074565053.25051925434947
4919.0811.33846744254807.74153255745197
5020.0510.83448305216779.21551694783234
5120.3511.96074837627058.38925162372946
5220.2712.82426231257567.44573768742442
5319.9418.14034870670461.79965129329539
5419.0717.15715572569251.91284427430750
5517.8719.2843579859423-1.41435798594234
5618.0115.05194765292812.95805234707193
5717.5113.24966922865374.26033077134631
5818.1515.2115329198182.93846708018199
5916.714.70438562377481.99561437622520
6014.5116.8670644003916-2.35706440039163
611513.49941934613761.50058065386239
6214.7813.85898875462450.921011245375534
6314.6615.2580597956702-0.598059795670185
6416.3814.86272044980521.51727955019477
6517.8819.1911753825075-1.31117538250750
6619.0717.79229819176511.27770180823487
6719.6514.72049855009364.92950144990643
6818.3816.07072193391842.30927806608162
6917.4617.37289002090120.0871099790988252
7017.7117.04732093929170.662679060708275
7118.116.19640138280221.90359861719784
7217.1617.4495391821877-0.289539182187658
7317.9917.81426770862170.175732291378263
7418.5318.1597510971060.370248902893994
7518.5518.49594416120150.0540558387984892
7619.8718.37714368571001.49285631429003
7719.7420.9771925227311-1.23719252273105
7818.4220.0604624648281-1.64046246482815
7917.317.8964994476814-0.596499447681417
8018.0317.27009137750930.7599086224907
8118.2319.3981957101286-1.16819571012863
8217.4418.4482262272593-1.00822622725926
8317.9920.2876593797135-2.29765937971346
8419.0422.0623599508890-3.02235995088904
8518.8823.2965447152187-4.41654471521867
8619.0725.6979265502159-6.62792655021591
8721.3625.0701642535782-3.71016425357821
8823.5726.8454700667397-3.27547006673968
8921.2526.1617888420469-4.91178884204692
9020.4523.9499517986099-3.49995179860994
9121.3222.9596632007784-1.63966320077838
9221.9621.81032551531750.149674484682457
9323.9924.42138773955-0.431387739550004
9424.923.13185721572751.76814278427246
9523.7124.4847694425604-0.774769442560448
9625.3927.2580512836184-1.86805128361839
9725.1720.82980729277434.34019270722571
9822.2121.85431360558940.355686394410636
9920.9922.2134853260999-1.22348532609992
10019.7222.7455840971514-3.02558409715144
10120.8322.5676153320655-1.73761533206546
10219.1723.5083119540895-4.33831195408945
10319.6323.2814550666565-3.65145506665655
10419.9322.5265212543422-2.59652125434218
10519.7923.6059667068032-3.81596670680316
10621.2620.76056314347230.499436856527690
10720.1721.8806415576323-1.71064155763232
10818.3222.0195541580338-3.69955415803379
10916.7119.4214194078359-2.71141940783587
11016.0624.0702179902351-8.01021799023515
11115.0224.8760820844630-9.85608208446304
11215.4425.6988273744425-10.2588273744425
11314.8624.0735439948169-9.2135439948169
11413.6626.4767561269799-12.8167561269799
11514.0823.2951718275664-9.21517182756637
11613.3617.8129035228428-4.45290352284278
11714.9518.6998826548025-3.74988265480249
11814.3920.8577264325112-6.46772643251116
11912.8524.3059150134954-11.4559150134954
12011.2822.687198665125-11.4071986651250
12112.4722.9529449923816-10.4829449923816
12212.0124.4837443155895-12.4737443155895
12314.6627.8181919772745-13.1581919772745
12417.3425.4788068010321-8.13880680103205
12517.7522.4938408287934-4.74384082879345
12617.8923.6578889153506-5.76788891535062
12720.0723.0557304626978-2.98573046269780
12821.2623.7642693153384-2.50426931533839
12923.8823.55366575153530.326334248464716
13022.6430.2350419477073-7.59504194770725
13124.9726.8718596486778-1.90185964867778
13226.0828.583864519125-2.50386451912502
13327.1830.6130552217986-3.43305522179863
13429.3527.6339321969921.71606780300803
13529.8929.18639653961650.703603460383547
13625.7428.8465171742626-3.10651717426262
13728.7829.4901222491942-0.710122249194202
13831.8330.28527945604281.54472054395716
13929.7730.0864320543926-0.316432054392644
14031.2232.0740424235524-0.854042423552365
14133.8830.87243855433633.0075614456637
14233.0830.93440066445062.14559933554941
14334.429.58435684696744.81564315303256
14428.4629.7340932443796-1.27409324437962
14529.5829.24214491754780.337855082452175
14629.6126.94179560453062.66820439546943
14727.2427.3025339435290-0.0625339435289702
14827.4127.7322868340094-0.322286834009443
14928.6429.0899381648704-0.44993816487039
15027.625.48012855983772.11987144016230
15126.4527.8138837264455-1.36388372644554
15227.4726.66109631039920.808903689600795
15325.8824.16166510771421.71833489228579
15422.2124.4469087990168-2.23690879901677
15519.6726.0755409776619-6.40554097766187
15619.3326.3731014607747-7.0431014607747
15719.6726.0390170180132-6.36901701801319
15820.7427.1308039656561-6.39080396565607
15924.4228.7703614275323-4.35036142753232
16026.2727.0333806905667-0.763380690566729
16127.0228.4662015671377-1.44620156713769
16225.5227.2212185103928-1.70121851039283
16326.9425.41538510533181.52461489466821
16428.3825.55377858783072.82622141216926
16529.6723.05733445837916.61266554162085
16628.8526.23360038864982.61639961135019
16726.2727.9502308671660-1.68023086716604
16829.4225.70116838556723.71883161443277
16932.9429.00573786100553.93426213899451
17035.8729.75623465960816.11376534039187
17133.5530.36216652221633.18783347778373
17228.2528.8620920800045-0.612092080004491
17328.1432.2421143578129-4.10211435781286
17430.7231.2480586104679-0.528058610467876
17530.7632.0753352246259-1.31533522462588
17631.5933.8526484325604-2.2626484325604
17728.2935.4871536537612-7.19715365376117
17830.3338.1245891155499-7.7945891155499
17931.0938.6947641935051-7.60476419350505
18032.1542.795919524325-10.6459195243250
18134.2743.1197542545215-8.84975425452154
18234.7442.3258532592666-7.58585325926655
18336.7642.6657396845537-5.90573968455366
18436.6941.4204526630724-4.73045266307236
18540.2840.5534155330419-0.273415533041936
18638.0242.8139128826059-4.79391288260591
18740.6943.2239966195251-2.53399661952515
18844.9442.35438966496152.58561033503851
18945.9543.04584510812432.90415489187567
19053.1344.75803016195248.37196983804755
19148.4646.40046252192282.05953747807724
19243.3346.8480782508554-3.51807825085541
19346.8446.31658494425080.523415055749186
19447.9745.92114834916122.04885165083880
19554.3148.22041579198336.08958420801668
19653.0447.19071848753125.84928151246875
19749.8347.98246573819061.84753426180936
19856.2647.1538240409459.106175959055
19958.747.587928528439911.1120714715601
20064.9748.232729082630316.7372709173697
20165.5748.977954057014716.5920459429853
20262.3750.118063472478212.2519365275218
20358.351.72707344996746.5729265500326
20459.4354.33575263155045.09424736844956
20565.5154.953729408870410.5562705911296
20661.6355.29183154760696.33816845239309
20762.956.75975016323746.14024983676258
20869.6961.19958776470048.49041223529959
20970.9465.2356916663965.70430833360395
21070.9658.802446280069512.1575537199305
21174.4162.610302988864711.7996970111353
21273.0562.63117955331410.4188204466860
21363.8760.43126796273483.4387320372652
21458.8861.0020247238375-2.12202472383749
21559.3763.448072934081-4.07807293408106
21662.0364.1111839757685-2.08118397576850
21754.5766.447967280722-11.8779672807220
21859.2667.372550954674-8.11255095467403
21960.5668.0285667947378-7.46856679473778
22063.9771.2963661016266-7.32636610162663
22163.4671.8438193081309-8.38381930813093
22267.4869.5520737882811-2.07207378828114
22374.1870.53568760271813.64431239728194
22472.3970.23898213952132.15101786047867
22579.9375.40132468453974.52867531546027
22686.279.55901252017846.6409874798216
22794.6281.108738344906113.5112616550939
22891.7381.02693754535210.7030624546480
22992.9586.40354748499216.54645251500787
23095.3588.42256309676456.92743690323548
231105.5692.953261253662812.6067387463372
232112.5788.747282169608923.8227178303911
233125.3987.505007048301337.8849929516987
234133.9384.322890892803749.6071091071963
235133.4489.191153288670644.2488467113294
236116.6180.890103353792535.7198966462075
237103.976.793554094775527.1064459052245
23876.6573.53908857275553.11091142724454
23957.4467.6549179815962-10.2149179815962
24041.0272.1755122176839-31.1555122176839
24141.7471.9452384399468-30.2052384399468
24239.1674.9101902041569-35.7501902041569
24347.9876.3318378134782-28.3518378134782
24449.7975.1165438937646-25.3265438937646
24559.1678.2282589102337-19.0682589102337
24669.6879.161297023994-9.48129702399393
24764.0980.6870324210548-16.5970324210548
24871.0681.7248239341442-10.6648239341442
24969.4686.1412785175241-16.6812785175241
25075.8290.1715158632724-14.3515158632724
25178.0897.0726913217374-18.9926913217374
25274.397.990874455929-23.6908744559289


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.003083928175162610.006167856350325220.996916071824837
100.0003495383403883820.0006990766807767650.999650461659612
113.8216135112186e-057.6432270224372e-050.999961783864888
129.4130900257207e-061.88261800514414e-050.999990586909974
132.51215927087495e-065.02431854174991e-060.999997487840729
143.16384566229714e-076.32769132459428e-070.999999683615434
156.03517309222798e-081.20703461844560e-070.99999993964827
162.47151595507288e-084.94303191014576e-080.99999997528484
171.66080972675810e-083.32161945351619e-080.999999983391903
184.67142072550356e-099.34284145100712e-090.99999999532858
196.64944626090235e-101.32988925218047e-090.999999999335055
202.09948309789534e-094.19896619579069e-090.999999997900517
218.36781126669728e-061.67356225333946e-050.999991632188733
220.0001984825805943810.0003969651611887620.999801517419406
230.0004181718895036930.0008363437790073860.999581828110496
240.0001952056874939420.0003904113749878840.999804794312506
259.18870590167278e-050.0001837741180334560.999908112940983
263.98283744678598e-057.96567489357196e-050.999960171625532
271.71620953398995e-053.43241906797989e-050.99998283790466
288.4385866605905e-061.6877173321181e-050.99999156141334
294.06417107180764e-068.1283421436153e-060.999995935828928
301.62468056924117e-063.24936113848235e-060.99999837531943
317.98665970069079e-071.59733194013816e-060.99999920133403
323.35818502671944e-076.71637005343889e-070.999999664181497
331.64913095622979e-073.29826191245958e-070.999999835086904
346.79064371924534e-081.35812874384907e-070.999999932093563
352.55759374923837e-085.11518749847674e-080.999999974424063
361.05189387553508e-082.10378775107015e-080.99999998948106
374.09173772069931e-098.18347544139861e-090.999999995908262
381.49364013143295e-092.98728026286589e-090.99999999850636
395.88067219640511e-101.17613443928102e-090.999999999411933
403.29148800133544e-106.58297600267088e-100.999999999670851
412.78611741924799e-105.57223483849597e-100.999999999721388
421.20416691985289e-102.40833383970579e-100.999999999879583
434.91768147192255e-119.8353629438451e-110.999999999950823
441.69042630181115e-113.3808526036223e-110.999999999983096
455.83242024857219e-121.16648404971444e-110.999999999994168
461.96299170603736e-123.92598341207473e-120.999999999998037
476.88587432702186e-131.37717486540437e-120.999999999999311
482.37966639777908e-134.75933279555816e-130.999999999999762
491.26312324626114e-132.52624649252228e-130.999999999999874
505.41551104811527e-141.08310220962305e-130.999999999999946
511.87904381726983e-143.75808763453965e-140.999999999999981
526.6593373975487e-151.33186747950974e-140.999999999999993
532.21582980761364e-154.43165961522727e-150.999999999999998
547.09354944929056e-161.41870988985811e-151
552.32969809890600e-164.65939619781201e-161
569.43346575174896e-171.88669315034979e-161
574.45370351378724e-178.9074070275745e-171
581.37784262741021e-172.75568525482041e-171
595.5439336299565e-181.1087867259913e-171
602.41998897392963e-184.83997794785927e-181
619.03261429018128e-191.80652285803626e-181
624.24220949119997e-198.48441898239994e-191
632.04035587407346e-194.08071174814691e-191
646.9567390977976e-201.39134781955952e-191
652.9828931185477e-205.9657862370954e-201
661.20922181083149e-202.41844362166298e-201
675.65196029867065e-211.13039205973413e-201
682.43224636390653e-214.86449272781306e-211
698.39784075071848e-221.67956815014370e-211
703.07710178192464e-226.15420356384929e-221
711.05017086794060e-222.10034173588119e-221
723.2584441039119e-236.5168882078238e-231
731.18065024734804e-232.36130049469607e-231
747.40852960014262e-241.48170592002852e-231
755.40896444429133e-241.08179288885827e-231
769.46632165020593e-241.89326433004119e-231
772.12089316268458e-234.24178632536915e-231
781.73935412582827e-233.47870825165655e-231
798.75831752647495e-241.75166350529499e-231
804.23779756277782e-248.47559512555565e-241
812.78647844765511e-245.57295689531021e-241
821.15161477239778e-242.30322954479556e-241
838.19002559718118e-251.63800511943624e-241
848.26866340101268e-251.65373268020254e-241
858.22593783772557e-251.64518756754511e-241
866.98037009851179e-251.39607401970236e-241
871.55046789104203e-243.10093578208406e-241
885.87836242478879e-241.17567248495776e-231
894.66160852222572e-249.32321704445144e-241
902.59962076670356e-245.19924153340712e-241
911.76024897302037e-243.52049794604073e-241
921.46540562937875e-242.93081125875750e-241
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1637.90274416236985e-311.58054883247397e-301
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1652.26359308169548e-304.52718616339097e-301
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1684.27656878956034e-308.55313757912068e-301
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1702.65737096046231e-285.31474192092463e-281
1715.32697421157373e-281.06539484231475e-271
1726.9527454693449e-281.39054909386898e-271
1735.36848381291373e-281.07369676258275e-271
1744.08227012615956e-278.16454025231912e-271
1755.00683937553249e-261.00136787510650e-251
1769.20433005641182e-251.84086601128236e-241
1775.35675357345591e-241.07135071469118e-231
1786.64246833183632e-241.32849366636726e-231
1791.03342636049159e-232.06685272098318e-231
1803.96129328331872e-247.92258656663744e-241
1811.90386161312897e-243.80772322625795e-241
1829.56561007558442e-251.91312201511688e-241
1836.7986378729187e-251.35972757458374e-241
1841.15221226344328e-242.30442452688656e-241
1851.97485437880654e-233.94970875761309e-231
1868.86760899364015e-241.77352179872803e-231
1875.56610672274622e-241.11322134454924e-231
1883.58610608185465e-237.17221216370929e-231
1895.4103968531374e-231.08207937062748e-221
1903.11006821088153e-226.22013642176307e-221
1912.66729081213456e-225.33458162426911e-221
1921.35273711590864e-222.70547423181728e-221
1938.82845119752335e-231.76569023950467e-221
1945.86826399028727e-231.17365279805745e-221
1951.12776213303777e-222.25552426607554e-221
1962.16850107815454e-224.33700215630909e-221
1971.68814763272305e-213.37629526544610e-211
1983.98470681866443e-217.96941363732886e-211
1991.32567318244817e-202.65134636489635e-201
2001.58781202241522e-193.17562404483045e-191
2011.91892273311646e-183.83784546623292e-181
2023.48997711653193e-186.97995423306386e-181
2033.22708860320787e-186.45417720641574e-181
2049.44257901322742e-181.88851580264548e-171
2051.17425872234173e-172.34851744468346e-171
2064.9754820712084e-189.9509641424168e-181
2072.11022486506779e-184.22044973013558e-181
2089.07526504953216e-191.81505300990643e-181
2096.24748275635172e-191.24949655127034e-181
2108.77631618771217e-181.75526323754243e-171
2115.50114587210648e-181.10022917442130e-171
2126.73528149860736e-181.34705629972147e-171
2139.46041749021374e-181.89208349804275e-171
2145.20320596974556e-181.04064119394911e-171
2157.63086476676091e-181.52617295335218e-171
2161.83015373648207e-163.66030747296414e-161
2173.8582775919815e-167.716555183963e-161
2183.55066175000342e-167.10132350000685e-161
2193.90412486439987e-167.80824972879975e-161
2207.02366289270951e-161.40473257854190e-151
2216.50438019048534e-151.30087603809707e-140.999999999999994
2222.76038537029259e-155.52077074058519e-150.999999999999997
2231.71381538145790e-153.42763076291579e-150.999999999999998
2247.72852772901342e-161.54570554580268e-151
2251.41736431610502e-152.83472863221004e-150.999999999999999
2261.60898209469113e-133.21796418938226e-130.99999999999984
2271.45403520796688e-132.90807041593375e-130.999999999999855
2283.21673111283688e-136.43346222567376e-130.999999999999678
2291.37448988180373e-122.74897976360746e-120.999999999998626
2302.8061568094156e-105.6123136188312e-100.999999999719384
2313.82736871336159e-087.65473742672318e-080.999999961726313
2327.06931796542752e-061.41386359308550e-050.999992930682035
2330.0001836814441153260.0003673628882306510.999816318555885
2340.001409026328450170.002818052656900350.99859097367155
2350.01675163819008290.03350327638016580.983248361809917
2360.02719598568118970.05439197136237940.97280401431881
2370.05909052974401670.1181810594880330.940909470255983
2380.2506188654672600.5012377309345190.74938113453274
2390.3277268396138210.6554536792276410.67227316038618
2400.4565694781304730.9131389562609450.543430521869527
2410.6899178825939460.6201642348121080.310082117406054
2420.7263288971054360.5473422057891290.273671102894564
2430.7373890114597590.5252219770804830.262610988540241


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2260.961702127659574NOK
5% type I error level2270.96595744680851NOK
10% type I error level2280.970212765957447NOK