Multiple Linear Regression - Estimated Regression Equation
CPI-index[t] = + 123.057746301125 + 0.620517408212832Olieprijzen[t] + 6.06971071539311Gasprijzen[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)123.0577463011252.0306560.600200
Olieprijzen0.6205174082128320.0816377.600900
Gasprijzen6.069710715393110.9397456.458900


Multiple Linear Regression - Regression Statistics
Multiple R0.818907213597945
R-squared0.67060902448275
Adjusted R-squared0.668360621919492
F-TEST (value)298.260211690523
F-TEST (DF numerator)2
F-TEST (DF denominator)293
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation18.5188656371075
Sum Squared Residuals100483.876654176


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1109.6151.125150902541-41.5251509025414
2109.3146.362286474802-37.0622864748016
3108.8143.993045963938-35.1930459639379
4108.6143.771582324903-35.1715823249033
5108.9144.497937041609-35.5979370416088
6109.5142.620259916901-33.1202599169005
7109.5141.168817175937-31.6688171759371
8109.7143.170947131385-33.4709471313845
9110.2143.08892523465-32.8889252346495
10110.3142.804055221126-32.5040552211262
11110.4143.24540922037-32.8454092203701
12110.5143.736972606526-33.2369726065256
13111.2145.191692609078-33.9916926090783
14111.6144.572529834533-32.9725298345328
15112.1144.91381440905-32.8138144090499
16112.7144.906822595555-32.206822595555
17113.1145.135627397181-32.035627397181
18113.5145.526553364355-32.0265533643551
19113.8146.375307579939-32.5753075799394
20114.4145.554083328018-31.1540833280183
21115144.645199999535-29.6451999995348
22115.3144.910667851399-29.610667851399
23115.4144.708825019182-29.3088250191815
24115.4144.092590157129-28.6925901571288
25115.7145.583842505981-29.8838425059813
26116144.650706475424-28.6507064754239
27116.5143.428636530341-26.9286365303411
28117.1143.791027249281-26.6910272492812
29117.5143.09311983959-25.59311983959
30118142.601556453435-24.6015564534345
31118.5142.144514844437-23.6445148444371
32119142.521107835525-23.5211078355249
33119.8141.366726811091-21.566726811091
34120.2141.799385014076-21.5993850140761
35120.3142.514553312346-22.2145533123463
36120.5144.693574699744-24.1935746997441
37121.1146.318194320752-25.2181943207525
38121.6145.176004999325-23.5760049993247
39122.3145.403236522125-23.1032365221253
40123.1145.600796808183-22.5007968081826
41123.8145.31479080615-21.51479080615
42124.1145.514143016191-21.4141430161909
43124.4145.346603315973-20.9466033159734
44124.6144.359193997502-19.7591939975023
45125144.621733936874-19.6217339368737
46125.6145.120289136524-19.520289136524
47125.9145.456941815784-19.5569418157844
48126.1147.80450818797-21.7045081879705
49127.4150.778229148197-23.3782291481969
50128148.006351020188-20.0063510201879
51128.7145.118147863444-16.4181478634439
52128.9143.537751100423-14.6377511004232
53129.2143.273637882226-14.0736378822264
54129.9142.403558877061-12.503558877061
55130.4143.550161448587-13.1501614485874
56131.6149.169339899661-17.569339899661
57132.7153.32003336635-20.6200333663502
58133.5156.103884552207-22.6038845522073
59133.8154.894312896508-21.0943128965084
60133.8152.367671056573-18.5676710565729
61134.6150.610033512505-16.0100335125052
62134.8145.598874180261-10.7988741802606
63135144.449911690496-9.44991169049604
64135.2145.087689987288-9.88768998728792
65135.6145.214502736265-9.61450273626519
66136144.265679095954-8.26567909595418
67136.2144.470231195506-8.27023119550634
68136.6145.196455208273-8.59645520827344
69137.2146.291712404379-9.0917124043789
70137.4148.519239195925-11.1192391959245
71137.8148.466320541678-10.6663205416781
72137.9147.297257192061-9.3972571920614
73138.1145.278565046228-7.17856504622809
74138.6142.501617732646-3.90161773264622
75139.3142.992045130292-3.69204513029243
76139.5144.229802685129-4.72980268512876
77139.7145.241464705674-5.54146470567378
78140.2146.777857255865-6.57785725586499
79140.5145.98066706086-5.48066706085976
80140.9147.46785550871-6.56785550871011
81141.3148.288511766377-6.98851176637648
82141.8150.962680387897-9.16268038789687
83142148.607554207961-6.60755420796128
84141.9147.6662903754-5.76629037539976
85142.6147.187705331663-4.58770533166317
86143.1146.206631891213-3.10663189121263
87143.6147.806081466796-4.20608146679593
88144148.126827891145-4.12682789114461
89144.2148.669037954528-4.46903795452795
90144.4146.921450840386-2.52145084038627
91144.4146.237527057685-1.83752705768481
92144.8146.61547468244-1.81547468244
93145.1146.602496340021-1.50249634002112
94145.7146.580952905282-0.880952905281954
95145.8145.6860532037880.1139467962119
96145.8145.1113319323880.688668067611674
97146.2144.0986646272732.10133537272746
98146.7143.640049739453.05995026055033
99147.2143.8814835343983.31851646560195
100147.4144.8397896103812.5602103896195
101147.5146.2982241648391.20177583516126
102148145.8102873893692.18971261063087
103148.4146.2370897673692.16291023263137
104149145.5704268732463.4295731267538
105149.4144.6898601478394.71013985216139
106149.5144.3718229908255.12817700917537
107149.7144.8924896194694.80751038053121
108149.7145.1168811709964.58311882900379
109150.3144.0848117042216.21518829577873
110150.9143.5639264304197.33607356958095
111151.4143.4846138010197.91538619898127
112151.9144.6320030119587.26799698804216
113152.2144.7148115481067.48518845189441
114152.5144.0964354129738.40356458702717
115152.5142.49099930846510.0090006915345
116152.9142.9191563201329.98084367986767
117153.2143.5957389402429.60426105975758
118153.7143.2207192279810.47928077202
119153.6143.9930887266579.60691127334328
120153.5146.0344602957387.46553970426153
121154.4147.1974064124937.20259358750729
122154.9146.3751768760018.5248231239991
123155.7148.1293185133217.57068148667876
124156.3150.2649036821446.03509631785583
125156.6148.3942183709318.20578162906923
126156.7148.3537100648498.34628993515133
127157149.9316162056937.06838379430722
128157.3149.3934700433127.9065299566885
129157.8149.1605133994648.63948660053622
130158.3150.2714582053238.02854179467716
131158.6152.9444908383345.65550916166601
132158.6158.5006574425160.0993425574837483
133159.1159.28836520185-0.188365201850003
134159.6151.9344020966147.66559790338558
135160146.93477853190213.0652214680983
136160.2146.26811563777913.9318843622207
137160.1148.11634017090211.9836598290977
138160.3147.63390987132212.6660901286782
139160.5147.39653997737513.1034600226245
140160.8148.06206688298912.7379331170114
141161.2149.48641695060511.713583049395
142161.6152.5602073355589.0397926644418
143161.5153.309548061898.19045193811008
144161.3148.27077082476213.0292291752376
145161.6145.32943036861416.270569631386
146161.9144.91988887919416.9801111208065
147162.2144.94357358701317.2564264129872
148162.5145.69326366244116.806736337559
149162.8144.6918707169818.1081292830198
150163143.16439260820619.8356073917941
151163.2144.53617337067218.6638266293276
152163.4142.46298929176720.9370107082327
153163.6142.70263116273220.8973688372679
154164143.32008995451420.6799100454863
155164142.89971139575421.1002886042456
156163.9141.93655477935721.9634452206428
157164.3142.04938390134522.2506160986553
158164.5141.25354834000723.2464516599931
159165142.48545006985822.5145499301424
160166.2145.33135299653620.868647003464
161166.2147.22458702705918.9754129729406
162166.2147.1665991872419.0334008127598
163166.7148.88350978006817.8164902199323
164167.1151.49733064353115.6026693564693
165167.9153.7287026909214.1712973090797
166168.2152.43295729626515.7670427037352
167168.3154.83750622369913.4624937763007
168168.3152.8494026579615.4505973420396
169168.8155.75429870902913.0457012909712
170169.8157.85265283335911.947347166641
171171.2157.71941626514213.4805837348585
172171.3156.37682668638314.9231733136167
173171.5159.37436305836712.1256369416326
174172.4165.6854196274896.71458037251071
175172.8164.7948024721568.0051975278444
176172.8165.0951414502747.70485854972562
177173.7169.937843738953.76215626104964
178174171.4023527635522.59764723644773
179174.1171.122682639542.97731736045967
180174175.727492218516-1.72749221851614
181175.1182.814283489124-7.71428348912367
182175.8172.2653971925043.5346028074961
183176.2166.485276327119.7147236728896
184176.9167.5508622864739.34913771352744
185177.7167.28709841737210.4129015826277
186178163.18823037913914.811769620861
187177.5159.78534712267517.7146528773251
188177.5160.25344444616917.2465555538308
189178.3157.09955479240321.200445207597
190177.7153.68841302999624.0115869700037
191177.4155.94242173791521.4575782620845
192176.7155.84798949301620.8520105069838
193177.1150.46242120548326.6375787945173
194177.8149.20753346600628.5924665339943
195178.8152.84634404152925.9536559584708
196179.8157.14784155139322.6521584486074
197179.8157.68148652245622.1185134775443
198179.9156.8596942762823.04030572372
199180.1157.51665608957322.5833439104271
200180.7157.42663709477223.2733629052278
201181159.48933345343521.5106665465649
202181.3160.61933107185720.6806689281433
203181.3161.19864147579420.1013585242057
204180.9165.37424358003215.5257564199683
205181.7170.39261337092911.3073866290707
206183.1175.9429241501267.15707584987407
207184.2186.096471229473-1.89647122947301
208183.8167.66932858828816.1306714117124
209183.5169.45301075841314.0469892415872
210183.7174.9199450072078.78005499279288
211183.9172.97278703786710.9272129621335
212184.6169.71839066905714.8816093309427
213185.2168.48456631128516.7154336887154
214185168.10539475680116.8946052431995
215184.5168.21901051820116.2809894817992
216184.3171.88679363227412.4132063677256
217185.2175.9708914041059.22910859589467
218186.2175.04723780921911.1527621907806
219187.4176.93247474167710.4675252583229
220188176.39240595137411.6075940486261
221189.1180.8286253670618.27137463293937
222189.7181.9817396990477.71826030095313
223189.4182.4742204285546.92577957144648
224189.5184.4237810788515.07621892114893
225189.9182.2770522543127.62294774568842
226190.9189.0774429952891.82255700471078
227191190.8271286197920.172871380207869
228190.3186.3120338650213.98796613497877
229190.7187.3271038510943.37289614890595
230191.8187.7151019057754.08489809422468
231193.3192.7983634087670.501636591232691
232194.6195.810757988374-1.21075798837353
233194.4191.9138207235772.4861792764227
234194.5194.988440510662-0.488440510662072
235195.4200.39603228597-4.9960322859698
236196.4202.716898096624-6.31689809662425
237198.8218.081394008573-19.2813940085729
238199.2224.391271826467-25.1912718264667
239197.6219.275760523335-21.6757605233352
240196.8215.035658818819-18.2356588188187
241198.3212.313814195282-14.0138141952821
242198.7202.877752569725-4.1777525697246
243199.8200.986222521965-1.18622252196507
244201.5204.810532384478-3.31053238447811
245202.5204.829497255821-2.32949725582104
246202.9202.1056872416440.794312758356386
247203.5205.102436974215-1.60243697421505
248203.9208.136942982815-4.23694298281506
249202.9199.4292038803863.47079611961413
250201.8190.4948440121311.3051559878705
251201.5200.4456736786271.05432632137317
252201.8202.536249350049-0.736249350049429
253202.416191.47950130054710.9364986994528
254203.499201.1160511246552.38294887534522
255205.352200.9253947108734.42660528912731
256206.686200.7548391569435.9311608430572
257207.949203.4001231811334.54887681886738
258208.352205.1179511173113.23404888268864
259208.299206.7434001404511.55559985954874
260207.917202.919919680074.99708031993022
261208.49204.8127591829963.67724081700418
262208.936211.381067860758-2.44506786075809
263210.177221.074512298895-10.8975122988945
264210.036221.65190007491-11.6159000749102
265211.08224.206378464887-13.1263784648866
266211.693229.046371486228-17.3533714862279
267213.528239.719665435086-26.1916654350859
268214.823247.785780984879-32.9627809848793
269216.632262.478193052254-45.8461930522541
270218.815271.624795531751-52.8097955317505
271219.964274.52527833272-54.5612783327203
272219.086246.074899683695-26.9888996836946
273218.783228.448269677605-9.66526967760458
274216.573203.97899387897212.5940061210279
275212.425187.4507248639224.9742751360804
276210.228182.07822527580728.1497747241934
277211.143180.19853758195730.9444624180433
278212.193172.74585968566239.4471403143383
279212.709175.3846747121137.3243252878895
280213.24174.6855433726938.5544566273096
281213.856180.62739087603533.2286091239653
282215.693187.21108057717328.4819194228272
283215.351183.68304579177631.6679542082235
284215.834186.20439980098129.629600199019
285215.969183.85141489412532.1175851058745
286216.177191.89428302641624.2827169735842
287216.33193.54564597167522.7843540283254
288215.949196.2171932670819.7318067329201
289216.687202.86118796355713.8258120364434
290216.741200.13995651277516.6010434872245
291217.631199.90769856712117.7233014328791
292218.009199.15442464372618.8545753562744
293218.178193.33633127292724.8416687270727
294217.965195.603798376322.3612016236996
295218.011196.87957361504221.1314263849578
296218.312196.20355898918722.1084410108132


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
61.23457329636583e-052.46914659273167e-050.999987654267036
73.62009197417796e-077.24018394835592e-070.999999637990803
86.82611121893912e-091.36522224378782e-080.999999993173889
93.76076030308918e-107.52152060617837e-100.999999999623924
101.26067718481862e-112.52135436963724e-110.999999999987393
115.04764962941714e-131.00952992588343e-120.999999999999495
121.53698511664058e-143.07397023328117e-140.999999999999985
138.11208313350662e-161.62241662670132e-151
141.48204139897634e-162.96408279795268e-161
154.31357352188105e-178.6271470437621e-171
161.35939033637634e-172.71878067275268e-171
171.91598977280738e-183.83197954561477e-181
182.62122467903668e-195.24244935807335e-191
192.27934680483583e-204.55869360967165e-201
206.98064020004778e-211.39612804000956e-201
213.39516880346362e-216.79033760692724e-211
221.31132587281749e-212.62265174563497e-211
231.92607771069347e-213.85215542138694e-211
249.10924491349047e-211.82184898269809e-201
255.9662754434794e-191.19325508869588e-181
262.31977296758212e-184.63954593516425e-181
273.67645272634388e-187.35290545268776e-181
282.00449913430926e-184.00899826861853e-181
298.95465403906952e-191.7909308078139e-181
305.7655037378077e-191.15310074756154e-181
315.96571728019665e-191.19314345603933e-181
329.65168281550521e-191.93033656310104e-181
339.72588801744099e-191.9451776034882e-181
343.20245391375761e-186.40490782751521e-181
351.22652149283873e-172.45304298567747e-171
361.06260063996859e-162.12520127993718e-161
371.33826811866487e-152.67653623732974e-150.999999999999999
383.54757330694124e-157.09514661388248e-150.999999999999996
395.46947705284015e-151.09389541056803e-140.999999999999995
405.10724683447237e-151.02144936689447e-140.999999999999995
416.45801295623692e-151.29160259124738e-140.999999999999994
428.9659415355655e-151.7931883071131e-140.99999999999999
431.2153839152647e-142.43076783052939e-140.999999999999988
441.56803306809361e-143.13606613618723e-140.999999999999984
451.44328257670585e-142.8865651534117e-140.999999999999986
461.48672140364734e-142.97344280729468e-140.999999999999985
472.16323774637755e-144.3264754927551e-140.999999999999978
486.76371953413986e-141.35274390682797e-130.999999999999932
493.17292174414723e-136.34584348829447e-130.999999999999683
504.27260384121666e-138.54520768243333e-130.999999999999573
515.24553595501834e-131.04910719100367e-120.999999999999475
529.15892958301216e-131.83178591660243e-120.999999999999084
531.49899946749001e-122.99799893498001e-120.9999999999985
543.98692808965802e-127.97385617931604e-120.999999999996013
556.27616560392405e-121.25523312078481e-110.999999999993724
563.80732149160523e-127.61464298321045e-120.999999999996193
573.15667575528534e-126.31335151057067e-120.999999999996843
582.47246587543091e-124.94493175086182e-120.999999999997528
592.29887825265441e-124.59775650530883e-120.999999999997701
605.42910988360729e-121.08582197672146e-110.99999999999457
611.58817804613784e-113.17635609227567e-110.999999999984118
626.16389321105391e-111.23277864221078e-100.999999999938361
631.67992781164625e-103.3598556232925e-100.999999999832007
643.36744546704422e-106.73489093408844e-100.999999999663255
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21615.20951671029707e-222.60475835514853e-22
21716.47614827771858e-223.23807413885929e-22
21817.9554440300931e-223.97772201504655e-22
21911.02836766731884e-215.14183833659418e-22
22011.32584244477532e-216.62921222387658e-22
22111.82362919035496e-219.1181459517748e-22
22213.90079364250359e-211.9503968212518e-21
22315.59623947703394e-212.79811973851697e-21
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23311.07469620165397e-225.37348100826984e-23
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23616.84856517960034e-243.42428258980017e-24
23711.51423432150884e-237.57117160754422e-24
23811.45599360612969e-237.27996803064844e-24
23912.47483072062037e-231.23741536031019e-23
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24315.33932059567238e-222.66966029783619e-22
24415.76047723570436e-222.88023861785218e-22
24516.08743212624942e-223.04371606312471e-22
24613.78526199712494e-221.89263099856247e-22
24711.92794687192392e-229.63973435961961e-23
24812.71078797121386e-221.35539398560693e-22
24913.77966395037166e-221.88983197518583e-22
25011.20407681330173e-226.02038406650867e-23
25111.97311691808037e-229.86558459040183e-23
25212.10523874589077e-221.05261937294538e-22
25311.67586902238353e-228.37934511191765e-23
25413.24613285497614e-221.62306642748807e-22
25519.317237586712e-224.658618793356e-22
25612.33453480368179e-211.16726740184089e-21
25711.07920444016715e-205.39602220083577e-21
25814.09327135609709e-202.04663567804854e-20
25916.87857398928793e-203.43928699464397e-20
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26111.49090788234304e-207.45453941171522e-21
26211.93350684874911e-219.66753424374554e-22
26311.98658393565078e-229.9329196782539e-23
26411.53523649731454e-237.6761824865727e-24
26511.97101150840166e-249.8550575420083e-25
26612.67267219021376e-251.33633609510688e-25
26718.2447965091809e-264.12239825459045e-26
26813.76493557749989e-261.88246778874995e-26
26912.82036025827371e-261.41018012913685e-26
27011.20416472738613e-256.02082363693065e-26
27111.83200642816115e-249.16003214080575e-25
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27317.9896028783474e-233.9948014391737e-23
27411.45623227965501e-217.28116139827505e-22
27516.35423194704311e-213.17711597352156e-21
27613.69374639003849e-201.84687319501924e-20
27713.14731092975688e-191.57365546487844e-19
27815.3560808395676e-182.6780404197838e-18
27919.69980648296776e-174.84990324148388e-17
28011.72708967950504e-158.63544839752522e-16
2810.9999999999999892.24575035304298e-141.12287517652149e-14
2820.9999999999998123.76565658391542e-131.88282829195771e-13
2830.9999999999966176.76640215094231e-123.38320107547116e-12
2840.9999999999476661.04668575541228e-105.2334287770614e-11
2850.99999999919981.60039781910118e-098.00198909550589e-10
2860.9999999934965081.3006984276844e-086.50349213842199e-09
2870.9999999864838472.70323060106573e-081.35161530053286e-08
2880.9999999988516842.29663148122323e-091.14831574061162e-09
2890.999999923719591.52560819247814e-077.62804096239068e-08
2900.9999982836501523.43269969534055e-061.71634984767028e-06


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2620.919298245614035NOK
5% type I error level2680.940350877192982NOK
10% type I error level2720.95438596491228NOK