Multiple Linear Regression - Estimated Regression Equation
PS[t] = + 17.7328206986877 + 0.380763089814471CM[t] -0.358122279733057DA[t] + 0.0114452394212943PC[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)17.73282069868771.50370611.792700
CM0.3807630898144710.0588796.466900
DA-0.3581222797330570.115743-3.09410.0023420.001171
PC0.01144523942129430.1157210.09890.9213430.460671


Multiple Linear Regression - Regression Statistics
Multiple R0.47780279837152
R-squared0.228295514131655
Adjusted R-squared0.213359298276139
F-TEST (value)15.2846956913347
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value9.22506182554628e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.74013733053778
Sum Squared Residuals2168.23722394876


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12421.99476581102772.00523418897227
22523.40411478235621.59588521764384
33022.14862146250577.85137853749432
41920.3806508739218-1.38065087392180
52221.82458523227530.175414767724672
62220.32392401433771.67607598566232
72521.81264065533173.18735934466832
82320.01158269228982.9884173077102
91718.9367165155683-1.93671651556828
102120.34656482441910.653435175580904
111921.9721250009463-2.97212500094628
121924.9726984305380-5.97269843053804
131523.739845920769-8.73984592076898
141620.3806508739218-4.3806508739218
152319.59648388421143.40351611578855
162720.91526961521436.08473038478574
172222.6087522219857-0.608752221985684
181420.6708507234106-6.67085072341062
192222.5632209330617-0.563220933061682
202324.6486622003077-1.64866220030769
212322.74459708247420.255402917525836
222125.074706910285-4.07470691028499
231922.6545331796709-3.65453317967086
241824.6143264820438-6.61432648204381
252021.1195362434693-1.11953624346933
262321.06305905264641.93694094735361
272522.19365341390732.80634658609267
281922.6087522219857-3.60875222198568
292422.98951531180021.01048468819985
302221.05136414446390.948635855536083
312523.35858349343221.64141650656784
322621.70506529906124.29493470093878
332923.75054215390675.24945784609326
343224.46703638213407.53296361786596
352521.08569986272783.9143001372722
362924.25595453354964.74404546645042
372826.42732902202931.57267097797066
381717.0100105876533-0.0100105876533363
392825.75711508900962.24288491099043
402923.03454726320185.96545273679819
412623.87569078125752.12430921874254
422522.98951531180022.01048468819985
431421.0968954333879-7.09689543338792
442521.03991890504263.96008109495738
452621.85842161301694.14157838698314
462019.23836160447840.761638395521609
471820.4488229729272-2.44882297292722
483225.35296218283026.64703781716984
492525.2852894213471-0.285289421347099
502521.55677652410673.44322347589325
512321.94848551582021.05151448417984
522121.4550177131210-0.455017713120977
532021.8584216130169-1.85842161301686
541519.8182619659337-4.81826196593367
553025.75811376405434.24188623594573
562423.06863331270450.931366687295486
572622.61994779264583.3800522073542
582421.40948642419702.59051357580303
592219.84090277601512.15909722398491
601417.7832316754647-3.78323167546475
612421.08569986272782.9143001372722
622422.21629422398871.78370577601126
632420.7499687243153.25003127568502
642420.03397383361003.96602616638996
651918.01645499660830.983545003391731
663124.89283142335026.10716857664984
672226.7630601604422-4.76306016044216
682721.83578080293545.16421919706455
691916.57277030701592.42722969298408
702521.50029933328383.49970066671620
712025.6093256515774-5.60932565157745
722121.8243355635142-0.824335563514153
732726.03562003031590.964379969684079
742323.5290137409457-0.529013740945694
752524.47823195279420.521768047205845
762023.0007108824603-3.00071088246027
772117.73770038654073.26229961345925
782221.53438538278650.465614617213489
792320.76141396373632.23858603626373
802524.5235135729570.476486427043018
812521.59111224237063.40888775762937
821722.5293845523201-5.52938455232015
831921.5229401433652-2.52294014336522
842522.59755665132562.40244334867443
851921.5338860452642-2.53388604526416
862021.869617183677-1.86961718367698
872622.20484898456743.79515101543255
882318.52211704501234.47788295498772
892724.25695320859432.74304679140572
901721.4662132837811-4.46621328378109
911722.7105110329715-5.71051103297146
921919.8185116346949-0.81851163469485
931719.9429112557620-2.94291125576204
942222.5970573138032-0.597057313803214
952121.8586712817780-0.858671281778036
963226.09259655866125.90740344133878
972123.909527161999-2.90952716199899
982124.2567035398331-3.25670353983310
991821.8243355635142-3.82433556351415
1001822.6199477926458-4.6199477926458
1012323.0236013613029-0.0236013613028622
1021921.0060825243011-2.00608252430109
1032022.2394343715925-2.23943437159251
1042121.8360304716966-0.836030471696623
1052021.5911122423706-1.59111224237063
1061722.2954122248931-5.2954122248931
1071822.9439840228762-4.94398402287615
1081923.7624867308504-4.76248673085039
1092222.3640836614209-0.364083661420868
1101519.2607527457986-4.26075274579863
1111419.8978793043604-5.89787930436039
1121825.6665518486839-7.66655184868392
1132422.98976498056131.01023501943867
1143524.870939619552310.1290603804477
1152919.13685246225389.8631475377462
1162121.0172780949612-0.0172780949612091
1172522.91014764213462.08985235786538
1182020.3351195849978-0.335119584997802
1192222.3411931825783-0.341193182578279
1201321.4545183755986-8.45451837559863
1212624.88138618392891.11861381607114
1221719.2042755549757-2.20427555497568
1232521.22179439197753.77820560802254
1242020.6479602445680-0.647960244568033
1251917.88499048645051.11500951354948
1262121.5002993332838-0.500299333283803
1272220.62506976572541.37493023427456
1282421.50029933328382.49970066671620
1292121.1083406728092-0.108340672809213
1302625.37585266167280.624147338327247
1312422.29616123117661.70383876882337
1321620.6934915334920-4.69349153349203
1332321.03991890504261.96008109495738
1341821.0058328555399-3.00583285553992
1351622.2391847028313-6.23918470283133
1362623.09152379154712.9084762084529
1371919.9996381153462-0.999638115346158
1382120.39209611334310.607903886656902
1392121.4438221424609-0.443822142460858
1402221.60280715055310.397192849446898
1412324.2450086316506-1.24500863165063
1422924.97269843053804.02730156946196
1432122.0863277263980-1.08632772639805
1442120.41423758590220.585762414097839
1452321.19915358189601.80084641810396
1462723.11366526410623.88633473589383
1472526.4163831201304-1.41638312013039
1482122.2050986533286-1.20509865332862
1491020.7049367729133-10.7049367729133
1502023.3590828309545-3.35908283095451
1512622.94423369163733.05576630836267
1522422.75579265313431.24420734686572
1532928.3425897105230.657410289477015
1541922.9551795935363-3.95517959353627
1552421.55752553039032.44247446960973
1561921.0513641444639-2.05136414446392
1572423.47203721260040.527962787399602
1582221.56847143228920.431528567710781
1591723.9896438379481-6.98964383794805


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.4240695088133180.8481390176266360.575930491186682
80.3080695906928050.616139181385610.691930409307195
90.1881026221131520.3762052442263050.811897377886848
100.1073950848133350.214790169626670.892604915186665
110.1253786155639520.2507572311279030.874621384436048
120.2058737483117420.4117474966234830.794126251688258
130.7036308065955170.5927383868089660.296369193404483
140.7474808849279870.5050382301440250.252519115072013
150.6854616369051960.6290767261896090.314538363094804
160.6253493134419630.7493013731160740.374650686558037
170.544016746592950.91196650681410.45598325340705
180.8211344019953710.3577311960092580.178865598004629
190.7693482779710740.4613034440578530.230651722028927
200.7426149313898530.5147701372202940.257385068610147
210.7048038101440130.5903923797119730.295196189855987
220.6535883581916720.6928232836166560.346411641808328
230.6026527440578370.7946945118843260.397347255942163
240.6316229341546070.7367541316907870.368377065845393
250.5723254032916030.8553491934167930.427674596708397
260.5172386632467990.9655226735064030.482761336753201
270.4771256858678370.9542513717356740.522874314132163
280.4565870433246320.9131740866492640.543412956675368
290.4107672724149930.8215345448299860.589232727585007
300.3530551780254070.7061103560508140.646944821974593
310.3110831752696290.6221663505392570.688916824730371
320.4748098640603730.9496197281207450.525190135939627
330.5690107698502640.8619784602994730.430989230149736
340.7376967548054930.5246064903890130.262303245194507
350.728010830965190.5439783380696190.271989169034809
360.765912698124860.4681746037502810.234087301875140
370.7275781308548610.5448437382902780.272421869145139
380.688292482936750.62341503412650.31170751706325
390.678703051260010.6425938974799790.321296948739989
400.7288589309539570.5422821380920870.271141069046043
410.7026409868909830.5947180262180340.297359013109017
420.66467229627010.67065540745980.3353277037299
430.7915078279382920.4169843441234160.208492172061708
440.7777396536434860.4445206927130270.222260346356514
450.7766662217178570.4466675565642860.223333778282143
460.7374922460960050.5250155078079910.262507753903995
470.7084216510071610.5831566979856780.291578348992839
480.7641724422607060.4716551154785870.235827557739294
490.729188064077410.5416238718451810.270811935922591
500.7132945233685430.5734109532629130.286705476631457
510.6775032291586550.644993541682690.322496770841345
520.6353574439958370.7292851120083260.364642556004163
530.6062218719430020.7875562561139960.393778128056998
540.681849045257820.6363019094843610.318150954742181
550.7254516124910160.5490967750179680.274548387508984
560.6857590152665840.6284819694668330.314240984733416
570.6713995474035250.657200905192950.328600452596475
580.643279870258110.7134402594837810.356720129741890
590.6100390928012560.7799218143974870.389960907198744
600.6015753813836120.7968492372327750.398424618616388
610.5814005826774640.8371988346450710.418599417322536
620.5439416281250720.9121167437498570.456058371874928
630.531207740085770.937584519828460.46879225991423
640.5418626981502250.916274603699550.458137301849775
650.4985962820737170.9971925641474340.501403717926283
660.5642465429750590.8715069140498810.435753457024941
670.6261750824481750.7476498351036490.373824917551825
680.6632871715134960.6734256569730080.336712828486504
690.6391482792206780.7217034415586450.360851720779322
700.6339180381779710.7321639236440570.366081961822029
710.7036559807378340.5926880385243330.296344019262166
720.6679765132362780.6640469735274430.332023486763722
730.6293709878286870.7412580243426270.370629012171313
740.5857524468446040.8284951063107920.414247553155396
750.5467874833724150.906425033255170.453212516627585
760.5335533494454520.9328933011090950.466446650554548
770.5252913093277310.9494173813445380.474708690672269
780.4808746838924160.9617493677848330.519125316107584
790.454192924966640.908385849933280.54580707503336
800.4141944560135720.8283889120271440.585805543986428
810.4093870927221210.8187741854442420.590612907277879
820.4657083173696630.9314166347393260.534291682630337
830.4419412357082540.8838824714165080.558058764291746
840.417236571873850.83447314374770.58276342812615
850.3966852864782330.7933705729564660.603314713521767
860.3645790287328140.7291580574656280.635420971267186
870.3779598208339220.7559196416678450.622040179166078
880.41047755878160.82095511756320.5895224412184
890.389468311864150.77893662372830.61053168813585
900.4054575249365490.8109150498730970.594542475063451
910.4603883823101460.9207767646202930.539611617689854
920.4189360416862510.8378720833725020.581063958313749
930.3980123975854230.7960247951708460.601987602414577
940.356290090809710.712580181619420.64370990919029
950.3153106257766840.6306212515533690.684689374223316
960.3810793651715290.7621587303430590.61892063482847
970.3598424743446660.7196849486893330.640157525655334
980.347530568487860.695061136975720.65246943151214
990.342235679362020.684471358724040.65776432063798
1000.3568995384254010.7137990768508030.643100461574599
1010.3136337266844610.6272674533689220.686366273315539
1020.2808172841848140.5616345683696280.719182715815186
1030.2527494444193880.5054988888387750.747250555580612
1040.2167707743439250.4335415486878490.783229225656075
1050.1874101917081770.3748203834163540.812589808291823
1060.2100503111513380.4201006223026760.789949688848662
1070.2269554646830050.453910929366010.773044535316995
1080.2454782756510180.4909565513020350.754521724348982
1090.2083701744036840.4167403488073670.791629825596316
1100.2095095389153980.4190190778307960.790490461084602
1110.2542579979206590.5085159958413180.745742002079341
1120.4080759015137570.8161518030275140.591924098486243
1130.3611703886045490.7223407772090970.638829611395451
1140.6564680777506970.6870638444986060.343531922249303
1150.923175128253550.1536497434929000.0768248717464501
1160.9041680818756770.1916638362486460.0958319181243228
1170.9046845515872350.1906308968255290.0953154484127646
1180.8798212203211480.2403575593577030.120178779678852
1190.8502297935964830.2995404128070340.149770206403517
1200.9519179540995750.0961640918008490.0480820459004245
1210.9364322465340110.1271355069319770.0635677534659887
1220.9209110737491280.1581778525017440.079088926250872
1230.9260732172861870.1478535654276260.0739267827138132
1240.9040069126612640.1919861746774720.095993087338736
1250.8774870738452350.2450258523095310.122512926154765
1260.8441020093290850.311795981341830.155897990670915
1270.8238018431325550.3523963137348910.176198156867445
1280.8160319721018730.3679360557962530.183968027898127
1290.7778140067180020.4443719865639960.222185993281998
1300.7287899773540980.5424200452918040.271210022645902
1310.7075825072759340.5848349854481320.292417492724066
1320.6934200825214650.613159834957070.306579917478535
1330.6805232042436210.6389535915127570.319476795756379
1340.6294853036269130.7410293927461730.370514696373087
1350.7002384811879760.5995230376240480.299761518812024
1360.6813362841467130.6373274317065740.318663715853287
1370.6182229802398440.7635540395203120.381777019760156
1380.5566676619995250.886664676000950.443332338000475
1390.495269435398850.99053887079770.50473056460115
1400.4329970503617840.8659941007235680.567002949638216
1410.3726853558850160.7453707117700320.627314644114984
1420.3916609264330860.7833218528661710.608339073566914
1430.3392835642366100.6785671284732210.66071643576339
1440.2661818458200850.532363691640170.733818154179915
1450.2504057492758540.5008114985517070.749594250724146
1460.2183180003964810.4366360007929620.781681999603519
1470.1552335672630260.3104671345260520.844766432736974
1480.1029044993455560.2058089986911120.897095500654444
1490.4410857762124020.8821715524248050.558914223787598
1500.3851380901285510.7702761802571020.614861909871449
1510.3542154770726190.7084309541452390.64578452292738
1520.2439761763953080.4879523527906160.756023823604692


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 level10.00684931506849315OK