Multiple Linear Regression - Estimated Regression Equation
PRICE[t] = -169.944836849113 + 0.249358371013949PRODUCTION[t] + 0.0233130772579997RENEW_RISID[t] -0.0087232698957167RENEW_IND[t] + 0.0917792017482259GOLD[t] + 0.00318761707774345DOWJONES[t] -0.180920339320372t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-169.94483684911326.474671-6.419100
PRODUCTION0.2493583710139490.0475255.246900
RENEW_RISID0.02331307725799970.0112372.07470.0390560.019528
RENEW_IND-0.00872326989571670.003421-2.54970.0113920.005696
GOLD0.09177920174822590.00662813.848200
DOWJONES0.003187617077743450.000536.016600
t-0.1809203393203720.042638-4.24323.1e-051.6e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.916967581324854
R-squared0.840829545200753
Adjusted R-squared0.836931493246486
F-TEST (value)215.705063725557
F-TEST (DF numerator)6
F-TEST (DF denominator)245
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation9.6357027549884
Sum Squared Residuals22747.4580577103


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
117.9826.1403749707140-8.16037497071395
217.8322.2676010521575-4.43760105215754
319.4523.7459785924967-4.29597859249674
421.0425.1398640152952-4.09986401529525
520.0325.7475879822198-5.71758798221981
620.0123.8375159363709-3.82751593637088
719.6426.3834431964601-6.74344319646006
818.5226.5130867692676-7.99308676926763
919.5926.3296343613763-6.7396343613763
1020.0927.8354065165935-7.7454065165935
1119.8231.4060564212301-11.5860564212301
1221.0932.1070404310160-11.0170404310160
1322.6425.0901738510433-2.45017385104327
1422.1125.3209472014492-3.21094720144916
1520.4225.9414193303606-5.52141933036061
1618.5823.4782952195816-4.89829521958158
1718.2424.3262580593287-6.08625805932872
1816.8722.5830309290855-5.71303092908547
1918.6420.8697488628539-2.22974886285385
2027.1712.015791785933315.1542082140667
2133.6917.146312629479516.5436873705205
2235.9217.940673032316717.9793269676833
2332.320.740763939190411.5592360608096
2427.3419.50223107519087.83776892480922
2524.9619.12538591907185.83461408092817
2620.5219.92589413586270.594105864137272
2719.8621.5972376963016-1.73723769630158
2820.8218.66399490063272.15600509936735
2921.2417.78947188079903.45052811920103
3020.217.64701215398982.55298784601021
3121.4220.91401270567020.505987294329817
3221.6915.00423545906586.68576454093419
3321.8614.62276864476557.2372313552345
3423.2317.29995086633665.93004913366342
3522.4717.50851949347664.96148050652344
3619.5217.85915142090791.66084857909206
3718.8217.75665335455531.06334664544471
381918.12284976772980.877150232270149
3918.9217.17258009469481.74741990530524
4020.2417.80514131009982.43485868990019
4120.9417.25258020299933.68741979700066
4222.3813.93897152444178.44102847555827
4321.7615.44932721502636.31067278497375
4421.3512.45294384367958.89705615632053
4521.913.90566171178847.99433828821163
4621.6914.52643161250077.1635683874993
4720.3412.38146350775067.9585364922494
4819.4114.18855526212715.22144473787285
4919.0810.48322854217478.59677145782526
5020.0511.88214137315868.16785862684137
5120.3510.53611222907989.81388777092021
5220.2711.31484563542258.95515436457755
5319.9417.34568650558392.59431349441609
5419.0716.27881326584522.79118673415485
5517.8718.8125059894788-0.942505989478774
5618.0113.24472169751994.7652783024801
5717.5111.36644063928476.14355936071525
5818.1513.53015827284204.61984172715804
5916.713.43319411442983.26680588557023
6014.5115.7532649919884-1.24326499198842
611512.65169170471382.34830829528615
6214.7814.39537722019880.38462277980122
6314.6614.07168982055950.588310179440534
6416.3813.48503635440432.89496364559567
6517.8818.5251756501387-0.645175650138683
6619.0717.52312614263831.54687385736171
6719.6512.61611079156057.03388920843949
6818.3813.99022394029394.38977605970611
6917.4616.64121675762690.818783242373126
7017.7116.02100352392721.68899647607283
7118.115.49874721141672.60125278858334
7217.1616.62024391948560.539756080514365
7317.9916.40978368005081.58021631994921
7418.5318.9581646112530-0.428164611252952
7518.5516.72289163455661.82710836544335
7619.8717.88565994494371.98434005505632
7719.7420.3279872837084-0.587987283708401
7818.4218.7257150713457-0.305715071345743
7917.316.3497548987340.950245101266018
8018.0315.50901164367282.52098835632724
8118.2318.9636233691282-0.7336233691282
8217.4416.67774634362660.762253656373413
8317.9919.6121877515831-1.62218775158310
8419.0421.4558549269982-2.41585492699824
8518.8822.2254480387213-3.3454480387213
8619.0726.6353682635856-7.56536826358557
8721.3624.331812242654-2.97181224265402
8823.5726.748410268222-3.17841026822198
8921.2525.1484682328803-3.89846823288029
9020.4523.1703347902896-2.72033479028955
9121.3221.23791053349920.0820894665008082
9221.9619.33743104875912.62256895124088
9323.9923.48924281222230.500757187777665
9424.921.53409140916303.36590859083696
9523.7124.1769092988403-0.466909298840285
9625.3927.3535023522573-1.96350235225733
9725.1722.53492595318342.63507404681664
9822.2125.4380115054774-3.22801150547742
9920.9924.1676224603036-3.17762246030363
10019.7225.7494009955928-6.02940099559282
10120.8324.2426745161768-3.41267451617679
10219.1724.9570531421939-5.78705314219389
10319.6324.5403707571359-4.91037075713587
10419.9324.2285294810267-4.29852948102672
10519.7926.2949689667466-6.5049689667466
10621.2622.5811747081200-1.32117470811997
10720.1724.1285785217275-3.95857852172754
10818.3223.3896594661659-5.06965946616591
10916.7122.8291176451252-6.1191176451252
11016.0630.2218287592601-14.1618287592601
11115.0229.6312639134218-14.6112639134218
11215.4430.8560104806671-15.4160104806671
11314.8627.6101154052505-12.7501154052505
11413.6630.5104735178990-16.8504735178990
11514.0825.8435727721557-11.7635727721557
11613.3617.5788848651249-4.21888486512492
11714.9519.0989432303841-4.14894323038413
11814.3921.438572101824-7.04857210182399
11912.8526.9165208745912-14.0665208745912
12011.2824.1318547335490-12.8518547335490
12112.4724.2516649915428-11.7816649915428
12212.0127.6242751263835-15.6142751263835
12314.6629.938316222668-15.278316222668
12417.3426.0373715031557-8.69737150315571
12517.7521.4778912705363-3.72789127053625
12617.8922.1138145718596-4.22381457185956
12720.0722.2494816125324-2.17948161253236
12821.2622.8614395208625-1.60143952086253
12923.8822.835975602861.04402439713998
13022.6431.1689702064054-8.52897020640541
13124.9727.2693469397964-2.29934693979637
13226.0827.9853923670214-1.90539236702141
13327.1830.4587405793625-3.27874057936248
13429.3528.11451277130351.23548722869651
13529.8929.04344046642770.846559533572337
13625.7429.553850681364-3.81385068136399
13728.7830.1602635988104-1.38026359881045
13831.8331.22970546367670.600294536323305
13929.7730.9919030010104-1.22190300101038
14031.2234.2427147360737-3.02271473607373
14133.8832.94851758850140.931482411498647
14233.0832.89465658163760.185343418362355
14334.431.98243296814852.4175670318515
14428.4630.2844897236162-1.82448972361625
14529.5830.9073258357336-1.32732583573365
14629.6128.60050916150051.00949083849947
14727.2428.1408319096338-0.90083190963385
14827.4128.1144698556916-0.70446985569159
14928.6428.52280647340360.117193526596374
15027.622.61418709700214.98581290299793
15126.4526.8974624611557-0.447462461155686
15227.4725.37771610636332.09228389363673
15325.8821.85670861481944.0232913851806
15422.2121.54695397773900.663046022260967
15519.6724.3084937341711-4.63849373417106
15619.3323.662415143757-4.332415143757
15719.6721.8838706250749-2.2138706250749
15820.7424.5405241864900-3.80052418648996
15924.4224.9069895644898-0.486989564489803
16026.2722.41534630184523.8546536981548
16127.0224.19054972174272.82945027825729
16225.5222.64418018504892.87581981495106
16326.9420.15984218343856.78015781656147
16428.3819.83099926181808.54900073818196
16529.6717.387095285291512.2829047147085
16628.8522.31281286296336.53718713703673
16726.2724.89415154876831.37584845123175
16829.4219.70280643212919.7171935678709
16932.9423.48522755494219.45477244505787
17035.8727.24793231239958.62206768760046
17133.5526.95135707235616.59864292764386
17228.2524.31884879577243.93115120422755
17328.1427.99072292709870.149277072901289
17430.7226.23478590102434.48521409897575
17530.7627.29271152014313.46728847985693
17631.5929.83592953280601.75407046719395
17728.2932.8566602888261-4.56666028882613
17830.3336.5155606547614-6.18556065476142
17931.0937.7708755818229-6.68087558182288
18032.1543.6849713776193-11.5349713776193
18134.2743.2931073838521-9.02310738385206
18234.7443.0441195813623-8.30411958136226
18336.7642.2369807084095-5.47698070840954
18436.6940.9311317239534-4.24113172395337
18540.2838.79830119544471.48169880455527
18638.0243.6182771294125-5.59827712941253
18740.6943.9084425586163-3.21844255861634
18844.9441.59250050904363.34749949095636
18945.9543.37759135081792.57240864918208
19053.1345.51114839269257.61885160730755
19148.4647.60853628005160.851463719948414
19243.3347.2132798000787-3.88327980007874
19346.8445.77183742568141.06816257431855
19447.9746.96816688034311.00183311965686
19554.3148.43729163383515.87270836616486
19653.0447.70666724109025.33333275890984
19749.8348.15897860375881.67102139624123
19856.2647.07211286192749.18788713807258
19958.746.834980600754811.8650193992452
20064.9747.499569968724317.4704300312757
20165.5748.336997825408717.2330021745913
20262.3749.147535945898313.2224640541017
20358.352.05696157270796.24303842729211
20459.4354.98013643820314.4498635617969
20565.5156.1334058219539.37659417804702
20661.6357.76219358752723.8678064124728
20762.957.83780607115215.06219392884793
20869.6963.86565456391385.82434543608618
20970.9467.88132494367963.05867505632039
21070.9659.896937093681711.0630629063183
21174.4165.13194523448889.27805476551122
21273.0564.64855335457028.40144664542977
21363.8761.8962432541111.97375674588902
21458.8862.320310458468-3.44031045846804
21559.3765.4277886965468-6.0577886965468
21662.0365.4257924736437-3.39579247364367
21754.5766.2518138567438-11.6818138567438
21859.2669.0555603807603-9.79556038076033
21960.5668.0390927114699-7.47909271146991
22063.9772.8648733097164-8.89487330971638
22163.4672.425290721594-8.96529072159404
22267.4869.4498457391767-1.96984573917671
22374.1870.48928396251143.69071603748858
22472.3969.29418570082763.09581429917240
22579.9377.04362040663462.88637959336538
22686.282.31136864357653.88863135642354
22794.6284.295577663212710.3244223367873
22891.7383.90967211398647.82032788601355
22992.9589.49459790797943.45540209202064
23095.3593.0958816800442.25411831995608
231105.5697.70816696053337.85183303946673
232112.5792.238606539506720.3313934604933
233125.3990.19317926136235.1968207386379
234133.9386.389282687301747.5407173126983
235133.4492.551287348834640.8887126511653
236116.6180.621556569465635.9884434305344
237103.974.777696741268529.1223032587315
23876.6570.75089060207795.89910939792209
23957.4463.4417624242048-6.00176242420476
24041.0267.6087190351272-26.5887190351272
24141.7465.9978467490202-24.2578467490202
24239.1671.7201275050298-32.5601275050297
24347.9871.4975249125932-23.5175249125932
24449.7970.513034023874-20.7230340238741
24559.1673.381632435124-14.2216324351240
24669.6875.1508885122486-5.47088851224857
24764.0977.3597795545729-13.2697795545729
24871.0678.086989522683-7.02698952268302
24969.4684.5018934014139-15.0418934014139
25075.8289.3520695729228-13.5320695729228
25178.0898.6535302372746-20.5735302372746
25274.398.8082349314682-24.5082349314682


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.002646382525915730.005292765051831470.997353617474084
110.0003001374412222490.0006002748824444980.999699862558778
123.27035327037567e-056.54070654075134e-050.999967296467296
135.75389915805223e-061.15077983161045e-050.999994246100842
145.84780023795297e-071.16956004759059e-060.999999415219976
157.41461948858214e-081.48292389771643e-070.999999925853805
169.51763401072182e-081.90352680214436e-070.99999990482366
171.03170621917915e-072.06341243835830e-070.999999896829378
183.86773838936181e-087.73547677872362e-080.999999961322616
195.53084972807853e-091.10616994561571e-080.99999999446915
201.77311996837446e-093.54623993674892e-090.99999999822688
211.29244336772600e-082.58488673545200e-080.999999987075566
226.32803071329215e-091.26560614265843e-080.99999999367197
231.26015587996196e-092.52031175992392e-090.999999998739844
242.41108807833235e-094.8221761566647e-090.999999997588912
254.80638153429784e-099.61276306859568e-090.999999995193618
261.55017798837680e-083.10035597675359e-080.99999998449822
272.91958649026353e-085.83917298052706e-080.999999970804135
281.44116147079033e-082.88232294158067e-080.999999985588385
294.0065866210854e-098.0131732421708e-090.999999995993413
303.66286887337373e-097.32573774674745e-090.999999996337131
311.0868841746223e-092.1737683492446e-090.999999998913116
323.75469525381586e-107.50939050763173e-100.99999999962453
331.80733944442488e-103.61467888884977e-100.999999999819266
344.95686120061601e-119.91372240123202e-110.999999999950431
358.36191206084315e-111.67238241216863e-100.99999999991638
363.37973188071617e-116.75946376143234e-110.999999999966203
371.18115279818371e-112.36230559636743e-110.999999999988188
383.31514197279011e-126.63028394558023e-120.999999999996685
399.97260512023614e-131.99452102404723e-120.999999999999003
404.45872772273649e-138.91745544547298e-130.999999999999554
412.70044188665422e-135.40088377330844e-130.99999999999973
429.35122238509349e-141.87024447701870e-130.999999999999907
432.99815782353141e-145.99631564706282e-140.99999999999997
441.03994427079589e-142.07988854159178e-140.99999999999999
453.26672060507497e-156.53344121014993e-150.999999999999997
461.60325636949451e-153.20651273898902e-150.999999999999998
475.96040446341623e-161.19208089268325e-151
483.75648707263206e-167.51297414526413e-161
492.02253603523147e-164.04507207046295e-161
507.28387160487434e-171.45677432097487e-161
512.06800054550421e-174.13600109100842e-171
528.25715988614492e-181.65143197722898e-171
533.49469186692752e-186.98938373385503e-181
541.95344751301968e-183.90689502603935e-181
551.32875800653538e-182.65751601307077e-181
563.74792983915822e-197.49585967831643e-191
572.11647050273184e-194.23294100546369e-191
585.66216702166736e-201.13243340433347e-191
591.98886980147635e-203.97773960295271e-201
608.54158727402734e-211.70831745480547e-201
613.18032242865569e-216.36064485731138e-211
621.22237908356576e-212.44475816713151e-211
632.92070725766067e-215.84141451532134e-211
641.53293540675308e-213.06587081350615e-211
654.03281672720446e-228.06563345440892e-221
661.28541120253342e-222.57082240506685e-221
674.58192226401713e-239.16384452803426e-231
681.90773532466584e-233.81547064933168e-231
695.27291542894663e-241.05458308578933e-231
701.52724882547015e-243.05449765094030e-241
715.98374773457423e-251.19674954691485e-241
721.74223627425563e-253.48447254851125e-251
734.6701146376256e-269.3402292752512e-261
742.08370556291583e-264.16741112583165e-261
752.66822307398739e-265.33644614797478e-261
763.55680288809262e-257.11360577618524e-251
774.79779914597766e-249.59559829195533e-241
781.13662237764223e-232.27324475528445e-231
791.39770381021353e-232.79540762042705e-231
809.62794945181877e-241.92558989036375e-231
819.16824944682184e-241.83364988936437e-231
824.43936903492502e-248.87873806985004e-241
833.94375477373549e-247.88750954747099e-241
844.05345903052769e-248.10691806105539e-241
853.37597324726961e-246.75194649453921e-241
862.16008201601579e-244.32016403203158e-241
872.79445589147862e-245.58891178295725e-241
886.37871894488211e-241.27574378897642e-231
893.58474044435679e-247.16948088871358e-241
901.44652905690770e-242.89305811381539e-241
917.66925330716174e-251.53385066143235e-241
924.4267128685666e-258.8534257371332e-251
933.87910629371722e-257.75821258743443e-251
943.62188291823133e-257.24376583646266e-251
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1251.20646825425468e-332.41293650850936e-331
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1304.00920334486385e-348.0184066897277e-341
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1602.32553417484144e-264.65106834968287e-261
1611.16565395026064e-262.33130790052127e-261
1624.75976988405926e-279.51953976811853e-271
1632.75995072854859e-275.51990145709719e-271
1642.16353562824514e-274.32707125649028e-271
1657.57400110891181e-271.51480022178236e-261
1665.93980677389425e-271.18796135477885e-261
1672.45728417676931e-274.91456835353861e-271
1681.30165837604333e-262.60331675208665e-261
1693.72540603949106e-267.45081207898212e-261
1701.30748748232396e-252.61497496464792e-251
1711.07086936134758e-252.14173872269516e-251
1721.14413171351584e-252.28826342703168e-251
1736.18877054151048e-261.23775410830210e-251
1743.44262218802281e-256.88524437604563e-251
1752.93394330557702e-245.86788661115404e-241
1762.80035114918838e-235.60070229837675e-231
1777.30753793436064e-231.46150758687213e-221
1784.70500375093398e-239.41000750186797e-231
1793.55091637182677e-237.10183274365353e-231
1801.71363075330474e-233.42726150660948e-231
1817.36807984718165e-241.47361596943633e-231
1823.15683870168829e-246.31367740337657e-241
1831.57887417166431e-243.15774834332862e-241
1841.24921364905940e-242.49842729811880e-241
1856.79698465822457e-241.35939693164491e-231
1863.49430392347059e-246.98860784694117e-241
1872.77372203203408e-245.54744406406816e-241
1881.09952351229737e-232.19904702459474e-231
1891.61775596607696e-233.23551193215393e-231
1901.06553091567262e-222.13106183134525e-221
1911.0158824846719e-222.0317649693438e-221
1924.98355129537075e-239.9671025907415e-231
1933.24078156095890e-236.48156312191781e-231
1942.31518106841502e-234.63036213683003e-231
1954.90887673938146e-239.81775347876291e-231
1961.00523076671878e-222.01046153343756e-221
1978.48714097653528e-221.69742819530706e-211
1982.09894137370119e-214.19788274740239e-211
1997.19366302453059e-211.43873260490612e-201
2008.6643755846291e-201.73287511692582e-191
2011.01929004368495e-182.03858008736990e-181
2021.77967593254256e-183.55935186508512e-181
2031.71803612308369e-183.43607224616738e-181
2046.08736628482232e-181.21747325696446e-171
2056.95985907235383e-181.39197181447077e-171
2062.99260743328708e-185.98521486657417e-181
2071.26055332429875e-182.5211066485975e-181
2085.47308422768558e-191.09461684553712e-181
2093.52171638785607e-197.04343277571213e-191
2106.92989130715387e-181.38597826143077e-171
2115.51063464217407e-181.10212692843481e-171
2121.32461463651098e-172.64922927302197e-171
2132.73344686492005e-175.46689372984009e-171
2141.51551753495053e-173.03103506990106e-171
2152.85061804170246e-175.70123608340493e-171
2166.09367120549337e-151.21873424109867e-140.999999999999994
2177.11273938383368e-151.42254787676674e-140.999999999999993
2189.49580678546305e-151.89916135709261e-140.99999999999999
2195.40493691416315e-151.08098738283263e-140.999999999999995
2205.04315523139289e-151.00863104627858e-140.999999999999995
2212.99738022075243e-145.99476044150485e-140.99999999999997
2221.23587278520621e-142.47174557041243e-140.999999999999988
2236.89665298268905e-151.37933059653781e-140.999999999999993
2243.00500867993624e-156.01001735987247e-150.999999999999997
2251.62997746963808e-143.25995493927616e-140.999999999999984
2263.73315856860750e-117.46631713721499e-110.999999999962668
2273.84785365851856e-117.69570731703711e-110.999999999961521
2287.53151675648749e-111.50630335129750e-100.999999999924685
2293.22894230908519e-116.45788461817038e-110.99999999996771
2307.20281164032202e-101.44056232806440e-090.999999999279719
2311.93042978941704e-083.86085957883408e-080.999999980695702
2329.7232086206192e-061.94464172412384e-050.99999027679138
2330.000940376365519610.001880752731039220.99905962363448
2340.003947541707063840.007895083414127690.996052458292936
2350.01815603774261260.03631207548522530.981843962257387
2360.02184761756636690.04369523513273390.978152382433633
2370.03938285723910110.07876571447820210.960617142760899
2380.5241085689145040.9517828621709920.475891431085496
2390.7925743205997550.4148513588004890.207425679400245
2400.8159321433801560.3681357132396880.184067856619844
2410.7590009697939640.4819980604120730.240999030206036
2420.776526740336630.4469465193267390.223473259663369


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2250.965665236051502NOK
5% type I error level2270.974248927038627NOK
10% type I error level2280.978540772532189NOK