Multiple Linear Regression - Estimated Regression Equation
HICP[t] = + 0.553904779893441 + 0.0592152076229676Energiedragers[t] + 0.0437540064226119`Niet-bewerkte_levensmiddelen`[t] + 0.0419357359945791Bewerkte_levensmiddelen[t] + 0.175129444142094Algemene_index[t] + 0.349896886357395Gezondheidsindex[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.5539047798934410.05036710.997400
Energiedragers0.05921520762296760.00475412.455900
`Niet-bewerkte_levensmiddelen`0.04375400642261190.0073715.935700
Bewerkte_levensmiddelen0.04193573599457910.0106293.94550.0001276.3e-05
Algemene_index0.1751294441420940.0698942.50560.0133940.006697
Gezondheidsindex0.3498968863573950.0526366.647500


Multiple Linear Regression - Regression Statistics
Multiple R0.990988112487621
R-squared0.982057439091777
Adjusted R-squared0.981402601102426
F-TEST (value)1499.69527587243
F-TEST (DF numerator)5
F-TEST (DF denominator)137
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.167419644218962
Sum Squared Residuals3.84001920604531


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12.72.42242659399860.277573406001396
22.52.377517879679660.122482120320337
32.22.24480560727019-0.044805607270191
42.92.856760675673780.0432393243262219
53.13.12266936818146-0.0226693681814646
632.972210655169790.0277893448302106
72.82.68349313103070.116506868969302
82.52.63571745281213-0.135717452812125
91.92.10795212262192-0.207952122621925
101.92.14582663145826-0.245826631458264
111.81.82631396302549-0.0263139630254875
1221.889172188671730.110827811328268
132.62.545921025874990.0540789741250056
142.52.256455451359560.243544548640445
152.52.290332686997770.209667313002232
161.61.593858261346440.00614173865356485
171.41.162504374182650.237495625817347
180.80.7028960566464790.0971039433535213
191.11.086486365488180.0135136345118198
201.31.063209091213990.236790908786013
211.21.146887184545360.0531128154546401
221.31.249138267123460.0508617328765409
231.11.093304940599510.00669505940049038
241.31.36887960090968-0.0688796009096847
251.21.23738456423504-0.0373845642350434
261.61.77037015976268-0.170370159762676
271.71.84318411421118-0.143184114211176
281.51.371617577908370.128382422091635
290.90.973158878341291-0.0731588783412908
301.51.55572632261904-0.0557263226190375
311.41.4637639511137-0.0637639511136957
321.61.75057170104715-0.150571701047145
331.71.74240235887669-0.0424023588766875
341.41.4746237406822-0.074623740682197
351.81.752186408082470.0478135919175295
361.71.624683570158180.0753164298418163
371.41.52007576147236-0.120075761472362
381.21.137793471380370.0622065286196349
3911.03569861847774-0.0356986184777352
401.71.83751734720559-0.13751734720559
412.42.48516090574246-0.085160905742456
4222.17510895972988-0.175108959729882
432.12.25866462234359-0.158664622343589
4422.14251054469524-0.142510544695243
451.81.96228509403536-0.162285094035363
462.72.83225382385494-0.132253823854943
472.32.55789760756485-0.257897607564851
481.92.32671998377368-0.426719983773676
4922.19649458148312-0.196494581483121
502.32.61303635224906-0.313036352249058
512.83.0439679141355-0.243967914135496
522.42.83502056265225-0.435020562652248
532.32.49507535990426-0.195075359904262
542.72.84443178106869-0.144431781068691
552.73.07156990016511-0.371569900165111
562.93.00501767882286-0.105017678822858
5733.04259420681188-0.0425942068118754
582.22.24292187047527-0.0429218704752668
592.32.38900883117084-0.0890088311708398
602.82.747403649478130.0525963505218728
612.82.83159632991578-0.0315963299157801
622.82.611083152147950.188916847852047
632.21.972358937158840.22764106284116
642.62.220928292447570.379071707552434
652.82.522919796618580.277080203381421
662.52.191238585218440.308761414781558
672.42.000638449534980.399361550465017
682.32.017418789123180.282581210876817
691.91.753618351699530.146381648300467
701.71.78785079936877-0.0878507993687736
7122.03800248448597-0.0380024844859684
722.12.056304308053710.0436956919462857
731.71.89046791386518-0.190467913865182
741.81.95660310658489-0.156603106584887
751.81.798437902784980.00156209721502444
761.81.81124994511416-0.0112499451141571
771.31.28142563212090.0185743678790995
781.31.33694154739306-0.0369415473930637
791.31.38745327356233-0.0874532735623282
801.21.144545379108640.0554546208913608
811.41.47613119279581-0.0761311927958099
822.22.150352880285250.049647119714754
832.92.773761729244730.126238270755267
843.12.958557678482830.141442321517171
853.53.351840742522520.148159257477478
863.63.574624951717390.0253750482826118
874.44.363527812234940.0364721877650646
884.14.22789474163921-0.12789474163921
895.15.19948263406289-0.0994826340628868
905.85.719624079808870.0803759201911336
915.95.823348360163760.0766516398362408
925.45.316317425185030.0836825748149722
935.55.361146702704920.138853297295076
944.84.618262379467640.181737620532357
953.23.15953644212180.0404635578782022
962.72.70241720665032-0.00241720665031751
972.12.43407283438772-0.334072834387717
981.91.94764418427268-0.04764418427268
990.60.739071358165642-0.139071358165642
1000.70.5892394811644440.110760518835556
101-0.2-0.2116701028336410.0116701028336408
102-1-0.913295301294175-0.086704698705825
103-1.7-1.42159804531418-0.278401954685822
104-0.7-0.679064315039169-0.0209356849608312
105-1-1.084040245634110.0840402456341088
106-0.9-0.894509335857564-0.00549066414243618
1070-0.1898817526059310.189881752605931
1080.30.08003674352400340.219963256475997
1090.80.4863627255604250.313637274439575
1100.80.6768242612916930.123175738708307
1111.91.746394575209340.153605424790662
1122.11.960310872458980.139689127541015
1132.52.377784216520070.12221578347993
1142.72.70695972124197-0.00695972124197038
1152.42.82015896565282-0.420158965652816
1162.42.53059099137786-0.130590991377864
1172.93.1172018203993-0.217201820399303
1183.13.14133798686393-0.0413379868639347
11932.99800811899650.00199188100349973
1203.43.326498570445990.0735014295540104
1213.73.16866781306980.531332186930201
1223.53.392461103310870.10753889668913
1233.53.318814797009020.181185202990976
1243.33.2468556324950.0531443675049988
1253.13.18606340121411-0.0860634012141143
1263.43.51917264181524-0.119172641815238
12743.613139436703610.386860563296386
1283.43.44051225408911-0.0405122540891142
1293.43.40476532448688-0.00476532448687548
1303.43.42885103960732-0.0288510396073238
1313.73.663720953702760.0362790462972444
1323.23.26279057299294-0.0627905729929399
1333.33.34516981476259-0.0451698147625871
1343.33.36317704042545-0.0631770404254501
1353.13.12790049221221-0.0279004922122089
1362.92.91555665661484-0.0155566566148394
1372.62.579128194041450.020871805958546
1382.22.104430549238090.095569450761915
13922.12436784544846-0.124367845448463
1402.62.61323675121047-0.0132367512104747
1412.62.495328384867050.104671615132953
1422.62.573263639079140.0267363609208568
1432.22.137635045640860.0623649543591395


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1420175710288620.2840351420577250.857982428971138
100.07492376295475690.1498475259095140.925076237045243
110.1100000968943070.2200001937886150.889999903105693
120.1331796974106050.266359394821210.866820302589395
130.1123683352494660.2247366704989310.887631664750534
140.0667418174269230.1334836348538460.933258182573077
150.06426111867799180.1285222373559840.935738881322008
160.1486014787051760.2972029574103510.851398521294824
170.1149884979241320.2299769958482630.885011502075868
180.08728414780692170.1745682956138430.912715852193078
190.07949456323170480.158989126463410.920505436768295
200.0558601246598350.111720249319670.944139875340165
210.03841174459615720.07682348919231450.961588255403843
220.02385032800385960.04770065600771920.97614967199614
230.01576930803938850.03153861607877710.984230691960611
240.01227707015683340.02455414031366670.987722929843167
250.007424178451579760.01484835690315950.99257582154842
260.005052097570836880.01010419514167380.994947902429163
270.003211867989740040.006423735979480080.99678813201026
280.0158399766058470.0316799532116940.984160023394153
290.01278518743882880.02557037487765760.987214812561171
300.01269762869909410.02539525739818820.987302371300906
310.009953107153849430.01990621430769890.990046892846151
320.00657711028945950.0131542205789190.99342288971054
330.005574455152349040.01114891030469810.994425544847651
340.003510184771613940.007020369543227880.996489815228386
350.002232534003114560.004465068006229120.997767465996885
360.001688986354689830.003377972709379660.99831101364531
370.001380331654288060.002760663308576120.998619668345712
380.0009809701110387770.001961940222077550.999019029888961
390.0005911138752136490.00118222775042730.999408886124786
400.0005704495333291610.001140899066658320.999429550466671
410.0004123969674959750.000824793934991950.999587603032504
420.000512060035762140.001024120071524280.999487939964238
430.0004524323391714570.0009048646783429130.999547567660829
440.0003816112510655950.0007632225021311910.999618388748934
450.0003796190993576660.0007592381987153320.999620380900642
460.0002556195514810120.0005112391029620240.999744380448519
470.0003547984460562380.0007095968921124760.999645201553944
480.003387809791902760.006775619583805520.996612190208097
490.003023267934533670.006046535869067330.996976732065466
500.005219448450986940.01043889690197390.994780551549013
510.004849366951688890.009698733903377780.995150633048311
520.02002223178274110.04004446356548210.979977768217259
530.01879690164975720.03759380329951430.981203098350243
540.01669196963171080.03338393926342170.983308030368289
550.04962268697034130.09924537394068260.950377313029659
560.04647269771196190.09294539542392370.953527302288038
570.05247287870291130.1049457574058230.947527121297089
580.04840917650222390.09681835300444780.951590823497776
590.04183345515513620.08366691031027250.958166544844864
600.04481284653768460.08962569307536910.955187153462315
610.04383407540462490.08766815080924980.956165924595375
620.0527815745502930.1055631491005860.947218425449707
630.0549510704187610.1099021408375220.945048929581239
640.1317054696350230.2634109392700460.868294530364977
650.1759549375324180.3519098750648350.824045062467582
660.2491793520507730.4983587041015470.750820647949227
670.4845821677867930.9691643355735850.515417832213207
680.5781756902717320.8436486194565360.421824309728268
690.6333278890507990.7333442218984010.366672110949201
700.6988133418632370.6023733162735270.301186658136763
710.678207327117050.6435853457659010.32179267288295
720.6771321810562120.6457356378875760.322867818943788
730.665886876099470.668226247801060.33411312390053
740.6330992976560990.7338014046878020.366900702343901
750.644564586066040.710870827867920.35543541393396
760.6561176326527470.6877647346945060.343882367347253
770.6531409820500470.6937180358999060.346859017949953
780.6231204755183980.7537590489632050.376879524481602
790.5990539373404320.8018921253191370.400946062659568
800.5835150590988950.832969881802210.416484940901105
810.5836204064637850.8327591870724310.416379593536215
820.6735527501287070.6528944997425860.326447249871293
830.791739450035890.4165210999282190.20826054996411
840.8265872741046180.3468254517907640.173412725895382
850.8287195441138140.3425609117723710.171280455886186
860.7976300134113870.4047399731772270.202369986588613
870.7599102610155650.4801794779688710.240089738984435
880.7808375181844760.4383249636310470.219162481815524
890.7878933458920270.4242133082159450.212106654107973
900.7588785778695610.4822428442608780.241121422130439
910.7298602955828650.540279408834270.270139704417135
920.7039054861625220.5921890276749570.296094513837478
930.6629930059018950.6740139881962110.337006994098105
940.6400420881652160.7199158236695670.359957911834784
950.6824465646701010.6351068706597970.317553435329899
960.7407905309162180.5184189381675640.259209469083782
970.8105042785859620.3789914428280750.189495721414038
980.7946316665625970.4107366668748050.205368333437403
990.7728718358370870.4542563283258250.227128164162913
1000.7995420540814070.4009158918371850.200457945918593
1010.8291876702781930.3416246594436130.170812329721807
1020.8116743386032510.3766513227934980.188325661396749
1030.8155482495560480.3689035008879030.184451750443952
1040.7758109481067340.4483781037865320.224189051893266
1050.7751200002783010.4497599994433990.224879999721699
1060.7565376629415580.4869246741168850.243462337058442
1070.7737497333562060.4525005332875870.226250266643794
1080.7568401994751360.4863196010497280.243159800524864
1090.7608979969180140.4782040061639710.239102003081986
1100.7165141506835190.5669716986329620.283485849316481
1110.6823413961753630.6353172076492740.317658603824637
1120.6306518694624360.7386962610751270.369348130537564
1130.5760416933959940.8479166132080120.423958306604006
1140.5112575500592290.9774848998815410.488742449940771
1150.8003565882580480.3992868234839050.199643411741952
1160.7568670372503930.4862659254992140.243132962749607
1170.7882159354735690.4235681290528610.211784064526431
1180.7975221861623090.4049556276753820.202477813837691
1190.784146963984520.4317060720309610.21585303601548
1200.8505502754729770.2988994490540450.149449724527023
1210.9758834600208150.048233079958370.024116539979185
1220.9681763821965250.06364723560694930.0318236178034746
1230.9638647631031690.07227047379366260.0361352368968313
1240.9419024866104220.1161950267791550.0580975133895775
1250.9229437906053040.1541124187893930.0770562093946964
1260.9218213961649840.1563572076700310.0781786038350156
1270.9996363577525760.0007272844948475410.00036364224742377
1280.9989912879078970.002017424184205970.00100871209210298
1290.9970460948469290.005907810306142650.00295390515307132
1300.9920866277353930.01582674452921310.00791337226460655
1310.9953112311541460.009377537691708690.00468876884585434
1320.9851917085221640.02961658295567110.0148082914778355
1330.9785469045882660.04290619082346730.0214530954117337
1340.9404088215657770.1191823568684470.0595911784342233


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level220.174603174603175NOK
5% type I error level410.325396825396825NOK
10% type I error level500.396825396825397NOK