Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 9.40654352465934 -0.509315226482805X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9.406543524659340.23836339.463100
X-0.5093152264828050.113951-4.46961.4e-057e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.317658225704477
R-squared0.100906748357717
Adjusted R-squared0.095855662674333
F-TEST (value)19.9772394852984
F-TEST (DF numerator)1
F-TEST (DF denominator)178
p-value1.39134540133590e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.02373959240057
Sum Squared Residuals186.55161004263


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
16.98.2453048082786-1.34530480827859
26.88.2554911128082-1.45549111280821
36.78.02629926089094-1.32629926089094
46.67.99574034730197-1.39574034730197
56.57.99574034730197-1.49574034730197
66.58.06195132674473-1.56195132674474
778.10269654486336-1.10269654486336
87.58.35226100583994-0.852261005839934
97.68.22493219921923-0.624932199219233
107.68.30642263545648-0.706422635456482
117.68.27077056960269-0.670770569602686
127.88.18418698110061-0.384186981100609
1387.960088281448170.0399117185518253
1487.995740347301970.00425965269802911
1587.914249911064720.085750088935278
167.97.92443621559438-0.0244362155943778
177.98.0364855654206-0.136485565420595
1888.19437328563026-0.194373285630265
198.58.09251024033370.407489759666296
209.27.78182795217921.41817204782081
219.47.970274585977831.42972541402217
229.58.021206108626111.47879389137389
239.58.117976001657841.38202399834216
249.68.031392413155771.56860758684423
259.78.174000676570951.52599932342905
269.78.133255458452331.56674454154767
279.68.230025351484061.36997464851594
289.58.179093828835781.32090617116422
299.48.102696544863361.29730345513664
309.38.00083349956681.29916650043320
319.68.026299260890941.57370073910906
3210.28.16381437204132.03618562795870
3310.28.153628067511642.04637193248836
3410.18.32679524451581.77320475548421
359.98.393006223958561.50699377604144
369.88.459217203401321.34078279659868
379.88.449030898871671.35096910112833
389.78.479589812460631.22041018753936
399.58.520335030579260.97966496942074
409.38.535614487373740.764385512626257
419.18.703688512113070.39631148788693
4298.759713187026180.240286812973822
439.58.80045840514480.699541594855197
44108.754620034761351.24537996523865
4510.28.80045840514481.39954159485520
4610.18.785178948350321.31482105164968
47108.657850141729621.34214985827038
489.98.662943293994451.23705670600556
49108.408285680753041.59171431924696
509.98.449030898871671.45096910112833
519.78.372633614899251.32736638510075
529.58.367540462634421.13245953736558
539.28.438844594342010.761155405657988
5498.48977611699030.510223883009708
559.38.428658289812360.871341710187646
569.88.428658289812351.37134171018765
579.88.403192528488221.39680747151179
589.68.153628067511641.44637193248836
599.48.204559590159921.19544040984008
609.38.117976001657841.18202399834216
619.28.230025351484060.969974648515938
629.28.398099376223390.801900623776613
6398.662943293994450.337056706005555
648.88.7648063392910.0351936607089945
658.78.601825466816510.0981745331834907
668.78.520335030579260.179664969420739
679.18.443937746606840.65606225339316
689.78.464310355666151.23568964433385
699.88.58145285775721.21854714224280
709.68.744433730231690.855566269768306
719.48.683315903053760.716684096946243
729.48.820831014204120.579168985795886
739.59.192631129536560.307368870463438
749.49.029650257062060.370349742937936
759.38.887041993646880.412958006353121
769.28.63747753267030.562522467329694
7798.459217203401320.540782796598677
788.98.596732314551680.30326768544832
799.28.881948841382050.318051158617948
809.89.18244482500690.617555174993094
819.98.988905038943440.91109496105656
829.68.968532429884130.631467570115872
839.29.111140693299310.0888593067006858
849.19.10604754103448-0.00604754103448588
859.18.922694059500680.177305940499324
8698.907414602706190.0925853972938084
878.98.780085796085490.11991420391451
888.78.81064470967446-0.110644709674459
898.58.97871873441378-0.478718734413784
908.39.02965025706206-0.729650257062064
918.59.07548862744552-0.575488627445517
928.78.94306666855999-0.243066668559988
938.48.8004584051448-0.400458405144802
948.18.74443373023169-0.644433730231694
957.88.62729122814065-0.82729122814065
967.78.4184719852827-0.718471985282699
977.58.49486926925512-0.99486926925512
987.28.41337883301787-1.21337883301787
996.88.2554911128082-1.45549111280820
1006.78.36754046263442-1.66754046263442
1016.48.30642263545648-1.90642263545648
1026.38.00592665183163-1.70592665183163
1036.87.98555404277231-1.18555404277231
1047.37.93971567238886-0.639715672388863
1057.17.69524436367712-0.595244363677116
10677.89387730200541-0.89387730200541
1076.87.82766632256265-1.02766632256265
1086.68.13834861071716-1.53834861071716
1096.38.28605002639717-1.98605002639717
1106.18.26058426507303-2.16058426507303
1116.18.34207470131028-2.24207470131028
1126.37.98555404277231-1.68555404277231
1136.37.80729371350333-1.50729371350333
11467.91424991106472-1.91424991106472
1156.28.0568581744799-1.85685817447991
1166.48.04667186995025-1.64667186995025
1176.88.2554911128082-1.45549111280820
1187.58.20965274242475-0.709652742424749
1197.58.32170209225097-0.821702092250966
1207.68.29623633092683-0.696236330926826
1217.67.9295293678592-0.329529367859207
1227.48.06704447900956-0.667044479009563
1237.38.04667186995025-0.746671869950252
1247.18.48468296472546-1.38468296472546
1256.98.72915427343721-1.82915427343721
1266.88.95834612535447-2.15834612535447
1277.58.75462003476135-1.25462003476135
1287.68.764806339291-1.16480633929101
1297.88.764806339291-0.964806339291006
13088.74952688249652-0.749526882496522
1318.18.84629677552826-0.746296775528255
1328.28.7087816643779-0.508781664377898
1338.38.79027210061515-0.490272100615146
1348.28.52033503057926-0.320335030579261
13588.5101487260496-0.510148726049604
1367.98.65275698946479-0.752756989464789
1377.68.87685568911722-1.27685568911722
1387.68.5814528577572-0.981452857757197
1398.38.64766383719996-0.347663837199960
1408.48.49486926925512-0.0948692692551193
1418.48.4897761169903-0.0897761169902912
1428.48.60182546681651-0.201825466816508
1438.48.45921720340132-0.0592172034013229
1448.68.520335030579260.0796649694207398
1458.98.596732314551680.30326768544832
1468.88.7648063392910.0351936607089945
1478.38.83101731873377-0.53101731873377
1487.58.42865828981236-0.928658289812355
1497.28.07723078353922-0.87723078353922
1507.48.2554911128082-0.855491112808201
1518.88.179093828835780.62090617116422
1529.38.25549111280821.0445088871918
1539.38.372633614899250.927366385100754
1548.77.949901976918520.75009802308148
1558.28.107789697128190.0922103028718113
1568.38.250397960543370.0496020394566274
1578.58.25549111280820.244508887191799
1588.68.097603392598530.502396607401468
1598.57.842945779357130.657054220642871
1608.28.00083349956680.199166500433200
1618.18.1281623061875-0.0281623061875006
1627.97.94480882465369-0.0448088246536899
1638.67.807293713503330.792706286496667
1648.77.822573170297820.877426829702182
1658.77.797107408973680.902892591026322
1668.58.148534915246810.351465084753188
1678.48.097603392598530.302396607401468
1688.57.934622520124030.565377479875966
1698.78.067044479009560.632955520990436
1708.78.194373285630260.505626714369734
1718.68.54580079190340.0541992080965995
1728.58.408285680753040.0917143192469572
1738.38.2911431786620.00885682133800296
17488.4541240511365-0.454124051136495
1758.28.59163916228685-0.391639162286853
1768.18.57635970549237-0.476359705492369
1778.18.78517894835032-0.685178948350319
17888.79027210061515-0.790272100615147
1797.98.64766383719996-0.747663837199961
1807.98.57126655322754-0.67126655322754


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.0007554383218800480.001510876643760100.99924456167812
60.0002000395841126690.0004000791682253380.999799960415887
70.0003219951014482180.0006439902028964370.999678004898552
80.0003095261116249260.0006190522232498520.999690473888375
90.0007738118519008430.001547623703801690.9992261881481
100.0003129010875772010.0006258021751544020.999687098912423
110.0001428450349958980.0002856900699917950.999857154965004
120.0003908404220438930.0007816808440877850.999609159577956
130.007941979197858780.01588395839571760.992058020802141
140.01394475543591740.02788951087183490.986055244564083
150.01634732228293740.03269464456587480.983652677717063
160.01277435485519100.02554870971038200.98722564514481
170.009429674079744770.01885934815948950.990570325920255
180.007898806579793760.01579761315958750.992101193420206
190.01255819414409270.02511638828818550.987441805855907
200.03245613049204670.06491226098409340.967543869507953
210.0818637990125680.1637275980251360.918136200987432
220.1673862569542950.3347725139085900.832613743045705
230.2953024439900890.5906048879801790.704697556009911
240.4049536198822810.8099072397645620.595046380117719
250.5714481920665040.8571036158669910.428551807933496
260.6842088559018080.6315822881963840.315791144098192
270.7657877703257980.4684244593484040.234212229674202
280.8050072339718610.3899855320562780.194992766028139
290.821836152529160.3563276949416810.178163847470841
300.8237782984139710.3524434031720570.176221701586029
310.8472350071255240.3055299857489530.152764992874476
320.917209568672430.1655808626551400.0827904313275698
330.956285411608740.08742917678251810.0437145883912591
340.9747413551705460.05051728965890730.0252586448294537
350.9803024911552740.03939501768945120.0196975088447256
360.9812736074175350.03745278516493080.0187263925824654
370.9813317548335630.03733649033287410.0186682451664370
380.9794803830628810.0410392338742380.020519616937119
390.9751335133558370.04973297328832620.0248664866441631
400.9687100072311080.06257998553778460.0312899927688923
410.9606116152706870.07877676945862650.0393883847293132
420.9511702972423820.09765940551523610.0488297027576181
430.9397157454080380.1205685091839240.0602842545919622
440.9347705435394410.1304589129211180.065229456460559
450.932546593067660.1349068138646810.0674534069323405
460.9282480942342780.1435038115314450.0717519057657224
470.925936355829880.1481272883402400.0740636441701198
480.9210846056013360.1578307887973290.0789153943986645
490.9315766348750960.1368467302498090.0684233651249044
500.9361610809276240.1276778381447520.0638389190723758
510.938439727801880.1231205443962410.0615602721981206
520.9361337194233270.1277325611533460.063866280576673
530.9267359899292220.1465280201415560.0732640100707778
540.9144748682510370.1710502634979270.0855251317489634
550.9054106765027310.1891786469945370.0945893234972686
560.9120443954977940.1759112090044120.0879556045022058
570.9205989794770530.1588020410458950.0794010205229474
580.936188588388780.1276228232224400.0638114116112199
590.941184968308070.1176300633838600.0588150316919302
600.9474224859505820.1051550280988360.052577514049418
610.947304295127810.1053914097443810.0526957048721904
620.9433572152025220.1132855695949550.0566427847974776
630.9370653572233270.1258692855533470.0629346427766736
640.9336051778043780.1327896443912450.0663948221956223
650.9262074389736030.1475851220527930.0737925610263966
660.916536938136780.1669261237264410.0834630618632204
670.9089592080257030.1820815839485950.0910407919742975
680.9189696021201020.1620607957597970.0810303978798984
690.9272092557630820.1455814884738360.072790744236918
700.9250104147713850.1499791704572300.0749895852286148
710.9209294821851460.1581410356297070.0790705178148537
720.9153375227202540.1693249545594910.0846624772797454
730.9107587779009970.1784824441980070.0892412220990033
740.9035553907560240.1928892184879520.0964446092439762
750.8954979562159710.2090040875680580.104502043784029
760.8891208962472380.2217582075055240.110879103752762
770.882438773220670.2351224535586610.117561226779330
780.8719955005134360.2560089989731290.128004499486564
790.862589794620320.2748204107593610.137410205379680
800.860624769375860.2787504612482780.139375230624139
810.8724691918626690.2550616162746620.127530808137331
820.8752009873697850.249598025260430.124799012630215
830.8705333297189160.2589333405621680.129466670281084
840.8653208275877320.2693583448245370.134679172412268
850.859588321470040.2808233570599180.140411678529959
860.8531188729827240.2937622540345520.146881127017276
870.8457691451853580.3084617096292840.154230854814642
880.8371860914486730.3256278171026540.162813908551327
890.8336306937107280.3327386125785450.166369306289272
900.835603642498320.3287927150033590.164396357501680
910.8303457155029960.3393085689940070.169654284497004
920.8197696262769940.3604607474460120.180230373723006
930.808512108048710.382975783902580.19148789195129
940.8016638404609370.3966723190781270.198336159539063
950.8019814215550340.3960371568899320.198018578444966
960.7982485007619650.403502998476070.201751499238035
970.8072801577647410.3854396844705180.192719842235259
980.8307499510769360.3385000978461290.169250048923064
990.8714064266556170.2571871466887670.128593573344383
1000.9136236057784070.1727527884431860.0863763942215931
1010.954716476555980.09056704688804180.0452835234440209
1020.9750939970805280.04981200583894380.0249060029194719
1030.9789418350297860.04211632994042830.0210581649702142
1040.9760378987210740.04792420255785250.0239621012789262
1050.9729269365235920.05414612695281660.0270730634764083
1060.972533480217360.05493303956528150.0274665197826408
1070.9746336898252450.05073262034951050.0253663101747552
1080.9829019012915620.03419619741687630.0170980987084381
1090.9928621445006620.01427571099867560.00713785549933782
1100.9980459805244520.003908038951095370.00195401947554769
1110.999608216195190.000783567609621070.000391783804810535
1120.9998742772701070.0002514454597850990.000125722729892550
1130.9999654040178446.91919643127522e-053.45959821563761e-05
1140.9999976630054244.67398915233828e-062.33699457616914e-06
1150.9999998717201542.56559691101138e-071.28279845550569e-07
1160.999999993479281.30414399508885e-086.52071997544423e-09
1170.9999999989541942.09161230048410e-091.04580615024205e-09
1180.9999999989095152.18097014620317e-091.09048507310159e-09
1190.9999999988370182.32596326829069e-091.16298163414535e-09
1200.9999999985431792.91364266836097e-091.45682133418049e-09
1210.9999999986627582.67448326424881e-091.33724163212440e-09
1220.9999999992407651.51846937634018e-097.59234688170092e-10
1230.9999999997585974.82806596915101e-102.41403298457550e-10
1240.9999999999375671.24865841613690e-106.24329208068452e-11
1250.9999999999922911.54170449847689e-117.70852249238444e-12
1260.9999999999995069.87565373282343e-134.93782686641172e-13
1270.9999999999995688.63624893694478e-134.31812446847239e-13
1280.9999999999995139.73505980748238e-134.86752990374119e-13
1290.9999999999991361.72824173071453e-128.64120865357265e-13
1300.999999999997964.07823530375927e-122.03911765187963e-12
1310.9999999999949371.01266629950962e-115.0633314975481e-12
1320.999999999986822.63594334393528e-111.31797167196764e-11
1330.9999999999676886.4623143669409e-113.23115718347045e-11
1340.9999999999157961.68408342897374e-108.42041714486871e-11
1350.9999999998137853.72430898052363e-101.86215449026182e-10
1360.9999999996338067.32388414979961e-103.66194207489980e-10
1370.9999999996119877.76026426259442e-103.88013213129721e-10
1380.9999999996784356.43130363130461e-103.21565181565230e-10
1390.9999999991593021.68139575560882e-098.40697877804412e-10
1400.9999999978301574.33968496538777e-092.16984248269388e-09
1410.9999999944874341.10251316786451e-085.51256583932255e-09
1420.9999999863934852.72130293513022e-081.36065146756511e-08
1430.9999999664872546.70254920145126e-083.35127460072563e-08
1440.9999999302562491.39487502163385e-076.97437510816925e-08
1450.9999999220310261.55937948933807e-077.79689744669034e-08
1460.9999999156667281.68666544115153e-078.43332720575763e-08
1470.9999998170408543.65918291785192e-071.82959145892596e-07
1480.9999998647961862.70407628133329e-071.35203814066665e-07
1490.9999999923202471.53595066115583e-087.67975330577913e-09
1500.9999999991694191.66116263831952e-098.3058131915976e-10
1510.9999999983863973.22720578097755e-091.61360289048878e-09
1520.9999999998673582.65283699019071e-101.32641849509536e-10
1530.9999999999994091.18215563854306e-125.91077819271529e-13
1540.9999999999981773.64632618094636e-121.82316309047318e-12
1550.9999999999941.20009216272629e-116.00046081363147e-12
1560.999999999971975.60586351037539e-112.80293175518770e-11
1570.9999999998980632.03874617113713e-101.01937308556857e-10
1580.9999999996634786.73043519638338e-103.36521759819169e-10
1590.9999999985411882.91762331032073e-091.45881165516037e-09
1600.9999999962069157.58616993938862e-093.79308496969431e-09
1610.9999999921644581.56710830873900e-087.83554154369501e-09
1620.9999999996204827.59035454770884e-103.79517727385442e-10
1630.9999999982123073.57538572794926e-091.78769286397463e-09
1640.9999999902181451.95637097172598e-089.78185485862991e-09
1650.9999999492537421.01492515950827e-075.07462579754133e-08
1660.9999997316556365.36688728670909e-072.68344364335455e-07
1670.9999988789878762.24202424869981e-061.12101212434990e-06
1680.9999968919585396.21608292265069e-063.10804146132535e-06
1690.9999845939882623.08120234762211e-051.54060117381105e-05
1700.9999503583096489.92833807034815e-054.96416903517408e-05
1710.999975152135794.9695728421185e-052.48478642105925e-05
1720.999978315000964.33699980817012e-052.16849990408506e-05
1730.9999343759965870.0001312480068269656.56240034134826e-05
1740.999419119759240.001161760481518460.00058088024075923
1750.998379480396680.003241039206641750.00162051960332087


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level740.432748538011696NOK
5% type I error level910.532163742690059NOK
10% type I error level1010.590643274853801NOK