Multiple Linear Regression - Estimated Regression Equation
PS[t] = + 7.05980418777325 -0.625089264853433M[t] + 0.296179087537003CM[t] + 0.070642119661626CM_M[t] -0.283469161339915D[t] -0.193290505489402D_M[t] + 0.260800182428789PE[t] -0.27410715866219PE_M[t] -0.0177004220449542PC[t] + 0.114293878489504PC_M[t] + 0.392234889899682O[t] + 0.135450774613635O_M[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.059804187773252.885982.44620.0156580.007829
M-0.6250892648534335.017803-0.12460.9010370.450518
CM0.2961790875370030.0777593.80890.0002070.000104
CM_M0.0706421196616260.1185830.59570.5523120.276156
D-0.2834691613399150.155718-1.82040.0708040.035402
D_M-0.1932905054894020.239269-0.80780.4205350.210268
PE0.2608001824287890.1363991.9120.0578850.028943
PE_M-0.274107158662190.22474-1.21970.2246140.112307
PC-0.01770042204495420.161925-0.10930.9131090.456554
PC_M0.1142938784895040.2828150.40410.6867260.343363
O0.3922348898996820.0940064.17255.2e-052.6e-05
O_M0.1354507746136350.1663140.81440.4167630.208381


Multiple Linear Regression - Regression Statistics
Multiple R0.624684363935184
R-squared0.390230554545106
Adjusted R-squared0.342994893277473
F-TEST (value)8.2613547492031
F-TEST (DF numerator)11
F-TEST (DF denominator)142
p-value4.33513225317483e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.45563605556431
Sum Squared Residuals1695.68171788928


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12423.29636057618990.703639423810088
22522.05152096979382.94847903020616
33024.49190568028465.50809431971537
41920.092828823572-1.09282882357201
52220.54603577155481.45396422844518
62223.3444890168877-1.34448901688771
72522.75256689114312.24743310885693
82319.59153886574173.40846113425826
91719.4903879946245-2.49038799462446
102122.0490595659149-1.04905956591486
111922.3110067780938-3.31100677809376
121923.5995735944097-4.59957359440972
131522.9251352744651-7.92513527446513
141617.3393196237838-1.33931962378381
152318.92813222805874.07186777194127
162723.89149853063623.10850146936385
172220.76093821543921.23906178456077
181415.0815545834135-1.08155458341351
192223.0714532797215-1.0714532797215
202324.3563838994501-1.35638389945009
212321.7510330273791.24896697262098
221922.386372329303-3.38637232930304
231823.9079851834956-5.90798518349556
242023.5615310439331-3.56153104393315
252322.69725259326560.302747406734413
262523.65160104820851.34839895179145
271923.2079296379135-4.20792963791352
282423.00714425189860.992855748101375
292221.84922853084030.15077146915972
302623.7536086833512.24639131664902
312923.3084288806845.69157111931603
323225.00809956780186.99190043219816
332522.05485821462122.94514178537879
342924.72446411391984.27553588608019
352825.36434099721182.63565900278825
361715.50760413394781.49239586605216
372826.24707084985011.75292915014988
382922.53736986505116.46263013494893
392626.9548735237134-0.954873523713413
402523.53782288481921.46217711518078
411417.8136992889837-3.81369928898374
422522.64932950017162.3506704998284
432621.77999057162794.22000942837209
442020.0344295547694-0.0344295547693637
451821.9026533709004-3.90265337090037
463224.98943332575047.01056667424956
472524.82370739342570.176292606574296
482522.44998777723362.55001222276644
492321.32820653374591.67179346625409
502122.0241795361065-1.02417953610648
512024.1192700550911-4.11927005509109
521516.3867168274286-1.38671682742862
533025.05784637940264.9421536205974
542425.438171986193-1.43817198619304
552624.31939334026541.68060665973459
562420.85894580135463.14105419864537
572222.5676753400154-0.567675340015414
581416.4788312268021-2.4788312268021
592422.28163744986571.71836255013428
602422.44138960175061.55861039824945
612423.79545343177680.204546568223215
622420.26696223016743.73303776983263
631917.80869115407461.19130884592543
643128.02194802807922.97805197192078
652227.2829218727514-5.28292187275137
662720.79463677353186.20536322646824
671917.17686270809261.82313729190742
682522.39829604162332.60170395837666
692024.7199321607138-4.7199321607138
702121.3806855541542-0.380685554154177
712727.3447604372431-0.344760437243079
722324.918061415164-1.918061415164
732525.8209104633302-0.820910463330248
742022.2621630884043-2.26216308840432
752222.7834712031622-0.783471203162157
762323.6257640178505-0.625764017850549
772524.14802528116780.851974718832198
782523.70709512078161.29290487921837
791723.6155185631486-6.61551856314859
801920.6256858519544-1.62568585195438
812524.12506870379740.874931296202566
821922.8209917670929-3.82099176709295
832022.0213024626656-2.02130246266558
842622.63881066673543.36118933326456
852321.21826683163081.7817331683692
862724.50535329075462.49464670924538
871720.2345906264913-3.23459062649129
881722.5483369070821-5.54833690708213
891719.5594726829038-2.55947268290383
902222.3915505023439-0.391550502343912
912124.1805516259676-3.18055162596756
923228.8691701918783.13082980812197
932124.0532027303745-3.05320273037451
942124.6828295359995-3.68282953599951
951820.7113502933206-2.71135029332061
961821.4423144034967-3.44231440349674
972323.0091627916008-0.00916279160077999
981920.1009913417402-1.10099134174018
992021.4861209705464-1.48612097054643
1002122.4874405664953-1.48744056649528
1012024.3194094496421-4.31940944964213
1021719.1595363624267-2.15953636242665
1031820.1639037335988-2.16390373359879
1041920.713801336222-1.71380133622203
1052222.4499438992702-0.449943899270173
1061517.4973160883322-2.49731608833222
1071419.1005411779597-5.10054117795971
1081826.4591005600035-8.45910056000355
1092421.82036146451232.17963853548773
1103523.647689016337211.3523109836628
1112918.937700292195310.0622997078047
1122122.2464539165878-1.24645391658783
1132017.91214468849372.08785531150626
1142222.2648021800946-0.264802180094649
1151315.666614386354-2.66661438635403
1162622.9148041182223.08519588177802
1171717.3696081117779-0.369608111777926
1182520.5161366744314.48386332556899
1192020.499208019904-0.499208019904032
1201917.6309645211851.369035478815
1212121.2100820711648-0.210082071164784
1222221.18557470380940.814425296190587
1232422.7905309315231.20946906847698
1242123.2463420430303-2.24634204303034
1252625.39821669558460.601783304415367
1262420.71350908612233.28649091387771
1271620.4723786369852-4.47237863698522
1282322.43625626483420.563743735165762
1291820.8287187190179-2.82871871901795
1301622.1201978263597-6.12019782635974
1312622.08307030037353.91692969962649
1321919.5740261208898-0.574026120889791
1332117.31954996922593.68045003077414
1342122.2110311335162-1.21103113351623
1352218.67366506722473.32633493277529
1362319.65579485717463.34420514282541
1372924.90771297157974.09228702842034
1382120.02707886629120.97292113370882
1392120.04083966855980.959160331440173
1402322.46253196521930.537468034780665
1412723.2897279769473.71027202305298
1422525.4168956603399-0.416895660339886
1432121.0217603368497-0.0217603368497115
1441017.3167990957428-7.31679909574281
1452022.6268869544151-2.62688695441514
1462622.3377675952393.662232404761
1472424.262148957464-0.26214895746405
1482931.924161423221-2.92416142322096
1491919.2763403620576-0.276340362057584
1502422.69582112375931.30417887624075
1511921.0647587510409-2.06475875104092
1522423.32190025017960.67809974982041
1532222.2548111099437-0.254811109943715
1541724.2225438314031-7.22254383140306


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
150.9711402162612430.05771956747751420.0288597837387571
160.9409917847826530.1180164304346930.0590082152173467
170.8964526611393160.2070946777213680.103547338860684
180.8328608488731070.3342783022537860.167139151126893
190.8214602309909640.3570795380180730.178539769009036
200.8078452057042870.3843095885914250.192154794295713
210.7903561958495190.4192876083009620.209643804150481
220.7439124894752580.5121750210494830.256087510524741
230.6922542259761140.6154915480477730.307745774023886
240.7136194594994750.5727610810010490.286380540500525
250.6382175744622260.7235648510755470.361782425537774
260.5612826201569370.8774347596861260.438717379843063
270.5109146531552390.9781706936895210.489085346844761
280.4822541004137280.9645082008274550.517745899586272
290.4145707547733010.8291415095466020.585429245226699
300.4259542831293190.8519085662586380.574045716870681
310.5177012033764580.9645975932470840.482298796623542
320.6583029050352470.6833941899295060.341697094964753
330.6207756513538140.7584486972923720.379224348646186
340.6903625887581820.6192748224836350.309637411241818
350.7309891187608460.5380217624783080.269010881239154
360.691285900279840.6174281994403180.308714099720159
370.6395822179671850.720835564065630.360417782032815
380.7398511195955550.5202977608088910.260148880404445
390.6881249000186190.6237501999627620.311875099981381
400.636500719565910.726998560868180.36349928043409
410.6292182143337360.7415635713325280.370781785666264
420.591014542428730.817970915142540.40898545757127
430.6037180267328790.7925639465342430.396281973267121
440.5489419230125750.902116153974850.451058076987425
450.5585715918624870.8828568162750260.441428408137513
460.6471022191365670.7057955617268670.352897780863433
470.5971488028320460.8057023943359080.402851197167954
480.5666266694070230.8667466611859540.433373330592977
490.573255432036340.853489135927320.42674456796366
500.525577617038350.94884476592330.47442238296165
510.5633818153464430.8732363693071140.436618184653557
520.5197185275977290.9605629448045420.480281472402271
530.6746036807413980.6507926385172050.325396319258602
540.6344560783367140.7310878433265720.365543921663286
550.5935586764818760.8128826470362470.406441323518124
560.5741725959067380.8516548081865230.425827404093262
570.5234290740622790.9531418518754420.476570925937721
580.4855576358688850.971115271737770.514442364131115
590.445983200429830.891966400859660.55401679957017
600.407007604758670.814015209517340.59299239524133
610.3591967226906470.7183934453812940.640803277309353
620.3694033370014820.7388066740029640.630596662998518
630.3261341044121360.6522682088242720.673865895587864
640.3662434269623380.7324868539246770.633756573037662
650.4355023397291280.8710046794582570.564497660270872
660.5456993775643360.9086012448713280.454300622435664
670.4974960132906820.9949920265813640.502503986709318
680.4785456995593790.9570913991187590.521454300440621
690.5481792636682040.9036414726635930.451820736331796
700.499328483585010.998656967170020.50067151641499
710.4533446725864340.9066893451728690.546655327413566
720.4193044249843470.8386088499686930.580695575015653
730.3832639590156150.766527918031230.616736040984385
740.3559224722090990.7118449444181980.644077527790901
750.3123829672717220.6247659345434450.687617032728278
760.2745690703304020.5491381406608050.725430929669598
770.2374611676189290.4749223352378580.762538832381071
780.2077420544320640.4154841088641270.792257945567936
790.3219390164826940.6438780329653870.678060983517306
800.293637882390930.587275764781860.70636211760907
810.2551331496258030.5102662992516060.744866850374197
820.2541418594159320.5082837188318640.745858140584068
830.2294267343889090.4588534687778190.770573265611091
840.2285985451904890.4571970903809790.77140145480951
850.2030554432919780.4061108865839560.796944556708022
860.1873367539619780.3746735079239560.812663246038022
870.1803194486916670.3606388973833330.819680551308333
880.2203929581077210.4407859162154430.779607041892279
890.1982397477336550.396479495467310.801760252266345
900.1696174105161350.339234821032270.830382589483865
910.1568314887410580.3136629774821160.843168511258942
920.1565746677496150.3131493354992310.843425332250385
930.1452395133881680.2904790267763350.854760486611832
940.1457810802731110.2915621605462220.85421891972689
950.1305513410894820.2611026821789630.869448658910518
960.1259900059853340.2519800119706680.874009994014666
970.1012363710637630.2024727421275270.898763628936237
980.08132905828873640.1626581165774730.918670941711264
990.0656687876850820.1313375753701640.934331212314918
1000.05201297318336120.1040259463667220.947987026816639
1010.05984401652368080.1196880330473620.94015598347632
1020.04949820875692010.09899641751384030.95050179124308
1030.04271586486115570.08543172972231130.957284135138844
1040.03647168223280410.07294336446560830.963528317767196
1050.0272067956654990.0544135913309980.9727932043345
1060.02309519318160150.04619038636320290.976904806818399
1070.02922516265774910.05845032531549830.97077483734225
1080.1280281140958780.2560562281917550.871971885904122
1090.1299239497234670.2598478994469350.870076050276533
1100.5992914456589650.801417108682070.400708554341035
1110.8832484669297440.2335030661405120.116751533070256
1120.8542871064111350.291425787177730.145712893588865
1130.9133688996437120.1732622007125760.0866311003562878
1140.8895722880434130.2208554239131740.110427711956587
1150.8652497381633210.2695005236733580.134750261836679
1160.8426052791818010.3147894416363980.157394720818199
1170.8003422200821950.399315559835610.199657779917805
1180.8189373575862290.3621252848275420.181062642413771
1190.7741515522921860.4516968954156280.225848447707814
1200.7273374720724140.5453250558551720.272662527927586
1210.667045721796790.6659085564064210.332954278203211
1220.6218590159225980.7562819681548040.378140984077402
1230.5655193204520850.8689613590958310.434480679547915
1240.5013321991457180.9973356017085650.498667800854282
1250.4382034465466860.8764068930933720.561796553453314
1260.417163590846990.834327181693980.58283640915301
1270.4217268371491280.8434536742982560.578273162850872
1280.3460244325012560.6920488650025110.653975567498744
1290.3099945530228630.6199891060457270.690005446977137
1300.2608904413053580.5217808826107160.739109558694642
1310.2044845202140740.4089690404281480.795515479785926
1320.1507804540988760.3015609081977530.849219545901124
1330.1410812196391820.2821624392783630.858918780360818
1340.09790674425081380.1958134885016280.902093255749186
1350.07187083345029560.1437416669005910.928129166549704
1360.05094698940926210.1018939788185240.949053010590738
1370.0563071380702330.1126142761404660.943692861929767
1380.0925520162201240.1851040324402480.907447983779876
1390.04601236245136170.09202472490272330.953987637548638


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level10.008OK
10% type I error level80.064OK