Multiple Linear Regression - Estimated Regression Equation
PS[t] = + 6.22294541070322 + 0.329668770012704CM[t] -0.307335861753657D[t] + 0.178919946656884PE[t] + 0.0935033736509635PC[t] + 0.407206747380311O[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.222945410703222.346762.65170.0088930.004447
CM0.3296687700127040.0572165.761900
D-0.3073358617536570.110252-2.78760.0060180.003009
PE0.1789199466568840.1025021.74550.0829980.041499
PC0.09350337365096350.1309890.71380.4764730.238236
O0.4072067473803110.0742765.482400


Multiple Linear Regression - Regression Statistics
Multiple R0.617279978710385
R-squared0.381034572116694
Adjusted R-squared0.359837125956307
F-TEST (value)17.9754942757563
F-TEST (DF numerator)5
F-TEST (DF denominator)146
p-value7.23865412055602e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.40954750236372
Sum Squared Residuals1697.2520689477


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12525.4532988015174-0.453298801517387
22523.06807943406081.93192056593915
31922.6517316308325-3.65173163083251
41824.0429568620695-6.04295686206954
51820.0535404745316-2.05354047453161
62220.42379429986981.57620570013019
72321.03257707949131.96742292050875
82324.7881531544984-1.78815315449844
92523.4218004010021.57819959899801
102319.66494946998913.3350505300109
112423.50982915538230.49017084461772
123224.74357445551647.25642554448355
133023.95313409727976.04686590272026
143228.83605345905473.16394654094532
152423.77964029431580.220359705684247
162931.5905023612761-2.59050236127607
171723.5174995460139-6.51749954601387
183027.30326521742042.69673478257962
192522.45019198728362.54980801271637
202525.0419327093183-0.0419327093182908
212624.03686582832911.96313417167091
222319.46197732640383.53802267359619
232523.91850448258081.08149551741919
242523.91850448258081.08149551741919
253523.48492448419511.515075515805
261923.2098425923333-4.20984259233326
272022.1783765475357-2.17837654753568
282122.0589888013667-1.05898880136675
292121.3511876103775-0.351187610377524
302321.87495574581231.12504425418771
312420.20746894137553.79253105862445
322320.91853480799072.08146519200926
331920.3719345754117-1.37193457541170
341723.6164899347315-6.61648993473145
352423.64007724606860.359922753931377
362723.40922882494683.59077117505316
372724.89595545000552.10404454999448
382524.97080266237250.0291973376274716
391821.7264936732396-3.72649367323957
402221.31402648332870.685973516671312
412621.64594383894444.35405616105558
422627.8524328742633-1.85243287426331
432324.3542863674797-1.35428636747969
441622.3334525022709-6.33345250227089
452721.34595727589545.6540427241046
462523.75820027876171.24179972123827
471416.3119174378617-2.31191743786168
481920.738067388979-1.73806738897899
492024.7550954948359-4.75509549483586
502624.29194826180481.70805173819516
511620.1780310192004-4.1780310192004
521821.0735339555876-3.07353395558755
532220.97591165556391.02408834443607
542521.49580289614853.50419710385151
552922.43143631266766.56856368733238
562120.02887008664560.971129913354392
572223.8267585627793-1.82675856277927
582223.0348457628383-1.03484576283827
593224.98770942693877.01229057306132
602319.96301079262813.03698920737188
613126.69664407135754.30335592864250
621821.2132142294192-3.21321422941924
632323.1448438297063-0.144843829706266
642422.23003015238531.76996984761468
651917.72498653100241.27501346899761
662625.69562784351250.304372156487544
671415.8175645184084-1.81756451840838
682020.5239986732194-0.523998673219369
692221.05586166643080.944138333569198
702422.73257244900621.26742755099384
712522.26526378575812.73473621424193
722124.6819147568961-3.68191475689609
732124.6819147568961-3.68191475689609
742824.85116854601683.1488314539832
752421.47025426461952.52974573538049
761518.7840137331429-3.7840137331429
772123.6183646141654-2.61836461416543
782322.90214313480830.0978568651917416
792422.73914816598861.26085183401142
802123.0174097013384-2.01740970133844
812125.0518817936013-4.05188179360135
821316.5346871154700-3.53468711547003
831718.9997209006796-1.99972090067956
842919.17160104345849.82839895654158
852522.33194141860832.66805858139173
861617.1142805963692-1.11428059636921
872020.3762617067911-0.376261706791088
882521.75012946015453.24987053984549
892521.75728294964843.24271705035162
902121.6072716282330-0.607271628232959
912322.33725033671660.662749663283391
922226.4730987266287-4.47309872662868
931920.2760272253931-1.27602722539309
942624.27094834025011.72905165974987
952523.92834873707531.07165126292473
961918.60598667919100.394013320808964
972522.45019198728362.54980801271637
982423.92000525584570.0799947441542706
992023.2238928907365-3.22389289073650
1002116.93013031523024.06986968476979
1011419.4379655479216-5.43796554792157
1022222.42564060147-0.425640601470004
1031418.5884437025044-4.58844370250436
1042024.0398174691597-4.03981746915974
1052120.06850749304450.931492506955491
1062221.79125412281140.208745877188611
1071919.7482955543503-0.748295554350274
1082826.38546367606821.61453632393183
1092525.2967521815657-0.296752181565735
1101717.1643703033141-0.164370303314113
1112122.2756777556324-1.27567775563236
1122723.16806754527213.83193245472791
1132922.94395248516346.05604751483657
1141919.0138116175289-0.0138116175289485
1152222.0576735269149-0.057673526914894
1162022.6010193942657-2.60101939426567
1172422.37370406987351.62629593012651
1181718.7057000886548-1.70570008865482
1192122.1301592667587-1.13015926675866
1202220.64546496516471.35453503483533
1212622.43316799713293.56683200286707
1221918.24766596452140.752334035478633
1231719.5605028295302-2.56050282953017
1241716.77448464511520.225515354884836
1251922.3960836772225-3.39608367722249
1261720.7661980938339-3.7661980938339
1271515.9681278429511-0.96812784295114
1282727.4596907499014-0.459690749901438
1291921.4904939780402-2.49049397804015
1302122.5910476037890-1.59104760378895
1312520.44330085001444.55669914998562
1321923.5524525059058-4.55245250590583
1331826.7527056444788-8.75270564447884
1341523.2083418190683-8.20834181906835
1352023.0554998008741-3.05549980087412
1362925.00235954877023.99764045122981
1371918.66201605886570.337983941134325
1382024.2147738802086-4.21477388020858
1392924.61364745675714.38635254324295
1402425.5030292513553-1.50302925135531
1412420.77918174123823.22081825876184
1422322.08430345850490.915696541495112
1432319.46197732640383.53802267359619
1441923.3204184317127-4.32041843171271
1452222.5773307931086-0.57733079310862
1462218.95097657623503.04902342376504
1472521.75012946015453.24987053984549
1482120.81707603156310.182923968436935
1492223.460254096309-1.46025409630901
1502121.605396948799-0.605396948798987
1511820.3890070411402-2.38900704114018
1521017.0138804138089-7.01388041380888


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1471139181337670.2942278362675350.852886081866233
100.1352049293877490.2704098587754980.864795070612251
110.1513226980059900.3026453960119790.84867730199401
120.8197119639161980.3605760721676030.180288036083802
130.8307477066922810.3385045866154380.169252293307719
140.7977279536369230.4045440927261540.202272046363077
150.7279061041786030.5441877916427940.272093895821397
160.7444515566207120.5110968867585750.255548443379288
170.8232751761393170.3534496477213650.176724823860683
180.7984857814933550.4030284370132900.201514218506645
190.7404559001646720.5190881996706550.259544099835328
200.7367983032041020.5264033935917960.263201696795898
210.7065172135834230.5869655728331540.293482786416577
220.6805854963934550.638829007213090.319414503606545
230.63251150631180.7349769873763990.367488493688200
240.5778505737760350.844298852447930.422149426223965
250.9196791925768480.1606416148463050.0803208074231523
260.9311412932868040.1377174134263920.0688587067131958
270.9262193381313260.1475613237373480.073780661868674
280.9136485078579640.1727029842840720.0863514921420358
290.8910383729520320.2179232540959360.108961627047968
300.8684744161869770.2630511676260450.131525583813023
310.8703423710297320.2593152579405360.129657628970268
320.8590640400543630.2818719198912730.140935959945637
330.8353885119529660.3292229760940670.164611488047034
340.9209106623994460.1581786752011080.079089337600554
350.8976115868296060.2047768263407890.102388413170395
360.890067331179370.2198653376412610.109932668820631
370.8698479304961380.2603041390077240.130152069503862
380.8377214839627260.3245570320745480.162278516037274
390.8500832205916150.2998335588167710.149916779408385
400.8172545582248860.3654908835502280.182745441775114
410.8256964150841540.3486071698316910.174303584915846
420.7921721703018720.4156556593962560.207827829698128
430.7631647461663770.4736705076672450.236835253833623
440.8608637896724030.2782724206551930.139136210327597
450.8863718626669660.2272562746660680.113628137333034
460.8660321506204820.2679356987590370.133967849379518
470.8762280884999460.2475438230001080.123771911500054
480.8615262973065540.2769474053868930.138473702693446
490.8858616902993870.2282766194012250.114138309700613
500.8650577613957040.2698844772085930.134942238604296
510.883081417015920.2338371659681590.116918582984080
520.879060217649740.241879564700520.12093978235026
530.8538049645005720.2923900709988560.146195035499428
540.8502787070297250.2994425859405510.149721292970275
550.9043712879057320.1912574241885370.0956287120942685
560.8832823584563270.2334352830873460.116717641543673
570.8702839116961830.2594321766076330.129716088303817
580.8450769121132680.3098461757734630.154923087886732
590.9217304611888560.1565390776222870.0782695388111437
600.9142053209882040.1715893580235920.085794679011796
610.9270379706984230.1459240586031540.0729620293015768
620.9264103005146180.1471793989707630.0735896994853815
630.9079674466391980.1840651067216040.0920325533608019
640.8922624708219270.2154750583561460.107737529178073
650.8705267865047260.2589464269905490.129473213495274
660.8437220674713570.3125558650572860.156277932528643
670.8251525574783660.3496948850432680.174847442521634
680.7938773204021950.412245359195610.206122679597805
690.7613828035748830.4772343928502350.238617196425117
700.730375742433010.5392485151339790.269624257566989
710.7199705790524390.5600588418951220.280029420947561
720.7246301182876940.5507397634246130.275369881712306
730.7282094674453850.543581065109230.271790532554615
740.7307598921941870.5384802156116260.269240107805813
750.7125943677246360.5748112645507280.287405632275364
760.7229494162593380.5541011674813230.277050583740662
770.7071196972996620.5857606054006770.292880302700338
780.6656378095615580.6687243808768840.334362190438442
790.6284010399220270.7431979201559450.371598960077973
800.5974979949795510.8050040100408980.402502005020449
810.6100077138658650.779984572268270.389992286134135
820.6101917746196650.779616450760670.389808225380335
830.5883295791562920.8233408416874150.411670420843708
840.8953537589530120.2092924820939760.104646241046988
850.893910099713130.2121798005737400.106089900286870
860.8729648485147850.2540703029704300.127035151485215
870.8458319923171350.3083360153657300.154168007682865
880.842695734556560.314608530886880.15730426544344
890.8485948161299950.3028103677400090.151405183870005
900.818679032423690.3626419351526190.181320967576309
910.79934338463740.40131323072520.2006566153626
920.8162818060890010.3674363878219980.183718193910999
930.7887358662587670.4225282674824660.211264133741233
940.7635055915882130.4729888168235730.236494408411787
950.7521742562417930.4956514875164130.247825743758207
960.7299334626924750.5401330746150510.270066537307525
970.7148086991780560.5703826016438880.285191300821944
980.6749538866877930.6500922266244130.325046113312207
990.657272782511190.6854544349776200.342727217488810
1000.6673013159321730.6653973681356540.332698684067827
1010.7317322807415440.5365354385169120.268267719258456
1020.6895566287184280.6208867425631430.310443371281572
1030.7069108739673550.5861782520652910.293089126032645
1040.7037116480416870.5925767039166270.296288351958313
1050.6578745720488520.6842508559022960.342125427951148
1060.6088074234436180.7823851531127630.391192576556382
1070.5785912546254640.8428174907490710.421408745374536
1080.5430769989739980.9138460020520040.456923001026002
1090.4943971141622150.988794228324430.505602885837785
1100.4699360655358160.9398721310716330.530063934464184
1110.4225749894458450.845149978891690.577425010554155
1120.4075769985169810.8151539970339620.592423001483019
1130.5556553656028160.8886892687943680.444344634397184
1140.5023620793666270.9952758412667470.497637920633373
1150.4452741866670160.8905483733340310.554725813332984
1160.399632884236280.799265768472560.60036711576372
1170.3640428405940640.7280856811881280.635957159405936
1180.3580372413974220.7160744827948450.641962758602578
1190.31697451897280.63394903794560.6830254810272
1200.2990894366791190.5981788733582370.700910563320881
1210.5020078658783460.9959842682433070.497992134121653
1220.4496409623114860.8992819246229710.550359037688514
1230.418889918138590.837779836277180.581110081861409
1240.3601583819508020.7203167639016040.639841618049198
1250.4520133288351820.9040266576703640.547986671164818
1260.4425134384415930.8850268768831850.557486561558407
1270.3774377506919110.7548755013838230.622562249308088
1280.4427718132678660.8855436265357320.557228186732134
1290.4287909091695180.8575818183390360.571209090830482
1300.3598903921601900.7197807843203810.64010960783981
1310.3427257809424180.6854515618848350.657274219057582
1320.370908220156280.741816440312560.62909177984372
1330.3687272755534790.7374545511069570.631272724446521
1340.4654663976096440.9309327952192870.534533602390356
1350.42750897558330.85501795116660.5724910244167
1360.4575431955384080.9150863910768150.542456804461592
1370.3652293230534110.7304586461068220.634770676946589
1380.491317363729470.982634727458940.50868263627053
1390.4016429700206190.8032859400412380.598357029979381
1400.3712785192248220.7425570384496440.628721480775178
1410.47887652905020.95775305810040.5211234709498
1420.3469461800898480.6938923601796960.653053819910152
1430.2450041022956850.490008204591370.754995897704315


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK