Multiple Linear Regression - Estimated Regression Equation
CPI-index[t] = + 122.575756668042 + 0.615100580555125Olieprijzen[t] + 6.13628265235774Gasprijzen[t] -1.31770040351924M1[t] + 0.837884430752857M2[t] + 0.847407444505444M3[t] + 1.17183068583073M4[t] + 0.505580626343562M5[t] + 0.134570531881393M6[t] + 0.0776411964183193M7[t] + 1.08783663402145M8[t] + 0.83309335570659M9[t] + 0.812192710285746M10[t] + 0.34441348435139M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)122.5757566680424.29608128.53200
Olieprijzen0.6151005805551250.0846987.262300
Gasprijzen6.136282652357740.9742296.298600
M1-1.317700403519245.392149-0.24440.8071190.403559
M20.8378844307528575.3987550.15520.8767750.438388
M30.8474074445054445.4054680.15680.8755390.43777
M41.171830685830735.4166170.21630.8288790.41444
M50.5055806263435625.4145130.09340.9256720.462836
M60.1345705318813935.418820.02480.9802050.490102
M70.07764119641831935.4224810.01430.9885860.494293
M81.087836634021455.4465440.19970.8418360.420918
M90.833093355706595.4872150.15180.8794340.439717
M100.8121927102857465.4717360.14840.8821060.441053
M110.344413484351395.4528230.06320.9496820.474841


Multiple Linear Regression - Regression Statistics
Multiple R0.819157486410802
R-squared0.671018987542863
Adjusted R-squared0.655853196188456
F-TEST (value)44.2455637072886
F-TEST (DF numerator)13
F-TEST (DF denominator)282
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation18.864843422126
Sum Squared Residuals100358.813490255


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1109.6149.353037024028-39.7530370240277
2109.3146.7849438627-37.4849438627004
3108.8144.433952962441-35.6339529624406
4108.6144.531672378152-35.9316723781521
5108.9144.568698221945-35.6686982219449
6109.5142.323250903641-32.8232509036408
7109.5140.821571361533-31.3215713615329
8109.7143.812832363119-34.1128323631194
9110.2143.4779787778-33.2779787778004
10110.3143.168717017178-32.8687170171783
11110.4143.143221283116-32.7432212831159
12110.5143.284884488935-32.784884488935
13111.2143.406813906979-32.2068139069786
14111.6144.947445392228-33.3474453922275
15112.1145.295273725285-33.1952737252854
16112.7145.607983881127-32.9079838811273
17113.1145.163758956768-32.0637589567678
18113.5145.180262228055-31.6802622280553
19113.8145.965873456421-32.1658734564209
20114.4146.158426816481-31.7584268164815
21115144.994365299669-29.9943652996686
22115.3145.237810672354-29.9378106723545
23115.4144.578319645725-29.1783196457245
24115.4143.630224203237-28.2302242032375
25115.7143.821843208054-28.1218432080535
26116145.03809093246-29.0380909324595
27116.5143.819474026549-27.3194740265489
28117.1144.489973139836-27.3899731398364
29117.5143.12353903924-25.6235390392399
30118142.266452254607-24.2664522546073
31118.5141.760057800743-23.2600578007431
32119143.150732209099-24.1507322090989
33119.8141.740924923128-21.9409249231278
34120.2142.166839228533-21.9668392285331
35120.3142.417549829593-22.1175498295928
36120.5144.248678390491-23.7486783904914
37121.1144.553371204318-23.4533712043183
38121.6145.555217114722-23.9552171147216
39122.3145.775641104246-23.4756411042462
40123.1146.280357523848-23.1803575238476
41123.8145.336576045451-21.536576045451
42124.1145.167960216444-21.0679602164442
43124.4144.944953724231-20.5449537242313
44124.6144.971577159074-20.371577159074
45125144.969908507978-19.9699085079783
46125.6145.446797638211-19.8467976382113
47125.9145.322296885132-19.4222968851323
48126.1147.336041610282-21.2360416102823
49127.4149.003165850771-21.603165850771
50128148.365637841731-20.3656378417308
51128.7145.476303061221-16.7763030612213
52128.9144.226952205517-15.326952205517
53129.2143.296503359455-14.096503359455
54129.9142.064205220684-12.1642052206837
55130.4143.145064727716-12.7450647277157
56131.6149.727776962084-18.1277769620844
57132.7153.593471415829-20.8934714158292
58133.5156.356031769684-22.8560317696844
59133.8154.710760267315-20.9107602673149
60133.8151.873717116396-18.0737171163959
61134.6148.80415791055-14.2041579105501
62134.8145.951678885384-11.1516788853837
63135144.806726817608-9.80672681760777
64135.2145.764556425373-10.5645564253729
65135.6145.221620945061-9.62162094506064
66136143.904092114203-7.90409211420325
67136.2144.0391690425-7.8391690424997
68136.6145.780009087176-9.180009087176
69137.2146.630091149349-9.4300911493494
70137.4148.844770291915-11.4447702919147
71137.8148.332903404618-10.5329034046179
72137.9146.842783293583-8.94278329358273
73138.1143.492927988256-5.39292798825635
74138.6142.838419277119-4.23841927711886
75139.3143.344848677334-4.04484867733366
76139.5144.904593464851-5.40459346485121
77139.7145.251934279493-5.55193427949259
78140.2146.417056089567-6.21705608956696
79140.5145.561526620106-5.06152662010575
80140.9148.080599771448-7.18059977144837
81141.3148.648913418822-7.3489134188219
82141.8151.33383368318-9.53383368318014
83142148.501598010407-6.50159801040694
84141.9147.216964026998-5.31696402699781
85142.6145.420074096773-2.82007409677333
86143.1146.570869230297-3.47086923029726
87143.6148.194573214143-4.59457321414339
88144148.844116373971-4.84411637397127
89144.2148.7296900586-4.52969005860051
90144.4146.602436934389-2.20243693438936
91144.4145.868749728784-1.46874972878372
92144.8147.259571368671-2.45957136867134
93145.1146.997940926891-1.89794092689128
94145.7146.947315873166-1.24731587316623
95145.8145.5936445797010.206355420299463
96145.8144.6938737944661.10612620553369
97146.2142.3460435093173.85395649068294
98146.7144.0410390658322.65896093416752
99147.2144.2958661541472.90413384585256
100147.4145.5678387525911.83216124740852
101147.5146.3580519852331.14194801476745
102148145.4794530395482.52054696045168
103148.4145.8467958731362.55320412686365
104149146.1985392264822.80146077351837
105149.4145.0649382756334.33506172436739
106149.5144.7192121747734.78078782522696
107149.7144.7735322846514.92646771534913
108149.7144.6670940168015.03290598319918
109150.3142.2952486345578.00475136544294
110150.9143.9177572051936.98224279480671
111151.4143.8474643750067.55253562499435
112151.9145.3152385385046.58476146149621
113152.2144.7346608656997.46533913430145
114152.5143.7542595018918.745740498109
115152.5142.08797511835310.4120248816475
116152.9143.5225899565399.37741004346133
117153.2143.9492832388539.2507167611474
118153.7143.55902778203510.1409722179652
119153.6143.8652446668769.73475533312363
120153.5145.5718807963457.92811920365542
121154.4145.4320816453218.96791835467945
122154.9146.7534853945498.14651460545137
123155.7148.5090106678867.19098933211382
124156.3150.9659189138235.33408108617742
125156.6148.4369447159778.16305528402306
126156.7148.0341489717638.66585102823653
127157149.561676198097.43832380191029
128157.3150.0204895861727.27951041382775
129157.8149.5049338465178.29506615348294
130158.3150.5960401681147.70395983188642
131158.6152.844911548255.75508845174992
132158.6158.0990257621340.500974237865636
133159.1157.578894871891.5211051281103
134159.6152.3359157798797.26408422012137
135160147.30576923450912.6942307654909
136160.2146.97174039157713.2282596084235
137160.1148.16029668625911.9397033137409
138160.3147.3206322983212.9793677016805
139160.5147.0188405828913.4811594171101
140160.8148.69831780104312.1016821989574
141161.2149.88538009873411.3146199012661
142161.6152.9532822698888.64671773011237
143161.5153.2569962186868.24300378131371
144161.3147.84127475699313.4587252430066
145161.6143.56965197002618.0303480299741
146161.9145.31927042113216.5807295788684
147162.2145.36422715439816.8357728456018
148162.5146.44375179448716.0562482055131
149162.8144.77050356127318.0294964387274
150163142.86980703114320.1301929688567
151163.2144.19420383435419.0057961656456
152163.4143.11703254943220.2829674505676
153163.6143.08549225850120.5145077414994
154164143.69578950654120.3042104934594
155164142.82086604518421.1791339548157
156163.9141.52289942944122.3771005705594
157164.3140.3050874341323.9949125658705
158164.5141.66221936593522.8377806340646
159165142.88452114410522.1154788558948
160166.2146.05391544276220.146084557238
161166.2147.29665293743918.903347062561
162166.2146.86457447951719.3354255204829
163166.7148.51674136880618.1832586311943
164167.1152.15500311369514.9449968863052
165167.9154.12530439013813.7746956098618
166168.2152.80801383506515.3919861649346
167168.3154.74292217459113.5570778254094
168168.3152.37515496181215.9248450381876
169168.8153.98003298658614.8199670134141
170169.8158.23119679063611.5688032093642
171171.2158.10027729158413.0997227084157
172171.3157.11774267149414.182257328506
173171.5159.44438227173512.0556177282645
174172.4165.4166132725766.98338672742353
175172.8164.4852104920028.31478950799843
176172.8165.7799717435117.02002825648866
177173.7170.3890217920013.31097820799946
178174171.8581041483072.14189585169329
179174.1171.0915758054753.00842419452481
180174175.475568083134-1.47556808313424
181175.1181.308330132229-6.20833013222904
182175.8172.799085163013.00091483699025
183176.2166.9940591176739.20594088232729
184176.9168.392699901998.50730009800958
185177.7167.44585927995910.2541407200411
186178162.94361447568115.056385524319
187177.5159.46090208812518.0390979118745
188177.5160.93271742420916.5672825757912
189178.3157.50379340570120.7962065942986
190177.7154.0835950227923.6164049772103
191177.4155.92546939903621.4745306009637
192176.7155.4886435960721.2113564039303
193177.1148.72239533815928.377604661841
194177.8149.59698413656128.2030158634392
195178.8153.23865971922425.5613402807764
196179.8157.89159155073821.908408449262
197179.8157.75432799052822.0456720094718
198179.9156.57109066666923.3289093333306
199180.1157.16060586691722.939394133083
200180.7158.06243890453122.6375610954689
201181159.87749272051621.1225072794836
202181.3161.00900591517720.2909940848231
203181.3161.15732517198620.1426748280145
204180.9164.99629907453315.9037009254671
205181.7168.70935254375912.9906474562407
206183.1176.4409222944926.6590777055081
207184.2186.74371182736-2.5437118273599
208183.8168.5041541641515.29584583585
209183.5169.64188286553713.8581171344631
210183.7174.7666001489998.93339985100076
211183.9172.74005659050811.1599434094919
212184.6170.45013925970514.1498607402954
213185.2168.98788483358716.2121151664135
214185168.55884205055616.441157949444
215184.5168.19651331250816.3034866874924
216184.3171.54764374650112.7523562534987
217185.2174.33218980215310.8678101978467
218186.2175.54946814728310.6505318527172
219187.4177.4397266222159.96027337778531
220188177.21803543063310.7819645693667
221189.1180.9935150018788.10648499812187
222189.7181.8157673151577.8842326848428
223189.4182.2231080457497.17689195425086
224189.5185.1538896100044.34611038999638
225189.9182.7161609153827.18383908461848
226190.9189.4805231126081.41947688739234
227191190.8404105630420.1595894369578
228190.3185.9964054596664.30359454033402
229190.7185.65980684145.04019315859994
230191.8188.1916336505343.6083663494657
231193.3193.2663463543590.0336536456414549
232194.6196.650993137674-2.05099313767395
233194.4192.0835658006842.31643419931636
234194.5194.741206267064-0.241206267063657
235195.4200.118788714533-4.71878871453346
236196.4203.40209161962-7.0020916196195
237198.8218.673026840961-19.8730268409613
238199.2225.071911322546-25.8719113225456
239197.6219.480671442187-21.8806714421867
240196.8214.836328642231-18.0363286422306
241198.3210.692617330464-12.3926173304637
242198.7203.355826047058-4.65582604705808
243199.8201.440116962209-1.64011696220882
244201.5205.54829216314-4.04829216313976
245202.5204.8841033451-2.38410334509968
246202.9201.7580642944141.141935705586
247203.5204.688462539002-1.18846253900175
248203.9208.783191078753-4.88319107875331
249202.9199.8381399364543.0618600635462
250201.8190.8449012677210.9550987322797
251201.5200.4347690489111.06523095108905
252201.8202.168659369176-0.368659369176193
253202.416189.76400002902212.6519999709779
254203.499201.6035255501361.89547444986436
255205.352201.4061228394793.94587716052149
256206.686201.5148519015495.17114809845059
257207.949203.5293770340234.41962296597668
258208.352204.8456565401973.50634345980265
259208.299206.3509681663481.94803183365192
260207.917203.5172593886134.3997406113868
261208.49205.0838354734053.40616452659503
262208.936211.631292920586-2.69529292058554
263210.177220.853638105834-10.6766381058339
264210.036221.130590720839-11.0945907208394
265211.08222.379741029615-11.2997410296145
266211.693229.398824727627-17.7058247276267
267213.528240.075745917985-26.547745917985
268214.823248.467605890083-33.644605890083
269216.632262.49821901743-45.8662190174296
270218.815271.270482743584-52.4554827435839
271219.964274.152081917787-54.1880819177873
272219.086246.603975356094-27.5179753560938
273218.783228.682790889187-9.899790889187
274216.573204.26035944262412.3126405573762
275212.425187.31892702270725.1060729772928
276210.228181.74097278148428.4870272185162
277211.143178.5157571391232.6272428608803
278212.193173.16894710607439.024052893926
279212.709175.73805741113136.9709425888687
280213.24175.33478067602237.905219323978
281213.856180.56089971518933.2951002848109
282215.693186.71610678041728.9768932195832
283215.351183.15954960465932.191450395341
284215.834186.63441707890929.1995829210913
285215.969184.02092666496531.9480733350353
286216.177192.0539828864524.12301711355
287216.33193.2279332844723.1020667155299
288215.949195.62739187845120.3216081215492
289216.687200.97937757252515.7076224274752
290216.741200.40759661743116.3334033825695
291217.631200.12352361790417.5074763820963
292218.009199.64864328610718.3603567138931
293218.178193.22943602004624.9485639799539
294217.965195.13120621146722.8337937885328
295218.011196.35206653670821.6589334632925
296218.312196.67541056553621.636589434464


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.0001213346672143970.0002426693344287950.999878665332786
186.11535231032903e-061.22307046206581e-050.99999388464769
192.26243161092777e-074.52486322185555e-070.99999977375684
206.15699899108445e-081.23139979821689e-070.99999993843001
219.01090779002999e-091.802181558006e-080.999999990989092
221.53788341968794e-093.07576683937588e-090.999999998462117
234.67109717835074e-109.34219435670147e-100.99999999953289
244.73574626257483e-109.47149252514965e-100.999999999526425
256.04391335524807e-091.20878267104961e-080.999999993956087
263.2148923286294e-096.42978465725881e-090.999999996785108
271.18546342969989e-092.37092685939979e-090.999999998814537
283.14668144618381e-106.29336289236761e-100.999999999685332
291.04455825513663e-102.08911651027327e-100.999999999895544
304.23686322239077e-118.47372644478154e-110.999999999957631
312.53173470575339e-115.06346941150678e-110.999999999974683
322.66300947224537e-115.32601894449074e-110.99999999997337
331.63973996199576e-113.27947992399151e-110.999999999983603
342.87302983020984e-115.74605966041967e-110.99999999997127
354.31632274205615e-118.6326454841123e-110.999999999956837
361.3434207962602e-102.6868415925204e-100.999999999865658
372.30257785350737e-104.60515570701474e-100.999999999769742
382.45047163647878e-104.90094327295756e-100.999999999754953
392.60475928594582e-105.20951857189165e-100.999999999739524
402.11519124538129e-104.23038249076257e-100.99999999978848
413.04187880025793e-106.08375760051586e-100.999999999695812
425.01944745235818e-101.00388949047164e-090.999999999498055
436.90316596618782e-101.38063319323756e-090.999999999309683
448.04661445854114e-101.60932289170823e-090.999999999195339
457.23439395951921e-101.44687879190384e-090.99999999927656
466.15085937623151e-101.2301718752463e-090.999999999384914
475.46361921676766e-101.09272384335353e-090.999999999453638
487.51732515666643e-101.50346503133329e-090.999999999248267
492.31418025280116e-094.62836050560233e-090.99999999768582
502.29883250234979e-094.59766500469959e-090.999999997701168
512.05307991982116e-094.10615983964232e-090.99999999794692
522.98058496686282e-095.96116993372565e-090.999999997019415
534.61822163497041e-099.23644326994083e-090.999999995381778
548.45679176642896e-091.69135835328579e-080.999999991543208
551.02317351722103e-082.04634703444206e-080.999999989768265
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18113.24567238760648e-201.62283619380324e-20
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19817.40596750606293e-203.70298375303146e-20
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20014.85537606452872e-202.42768803226436e-20
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20711.14586991790872e-205.72934958954358e-21
20812.35813262400894e-201.17906631200447e-20
20914.76838826547734e-202.38419413273867e-20
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21112.44790003950911e-191.22395001975456e-19
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21311.32990889423767e-186.64954447118834e-19
21412.21557939027433e-181.10778969513717e-18
21512.09260953693532e-181.04630476846766e-18
21611.49284695219015e-187.46423476095077e-19
21711.59975781735507e-187.99878908677534e-19
21811.57813317739171e-187.89066588695855e-19
21912.26290679977162e-181.13145339988581e-18
22013.56344106435095e-181.78172053217547e-18
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22211.27654619392839e-176.38273096964195e-18
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22413.4615782037683e-171.73078910188415e-17
22513.41923970509411e-171.70961985254706e-17
22611.51187260410148e-177.5593630205074e-18
22711.59298043858652e-177.96490219293258e-18
22811.36253794984969e-176.81268974924843e-18
22917.22878316120394e-183.61439158060197e-18
23013.39986022110747e-181.69993011055374e-18
23112.01654219043453e-181.00827109521726e-18
23213.53447677387071e-181.76723838693536e-18
23314.76818632286266e-182.38409316143133e-18
23413.15031280353524e-181.57515640176762e-18
23512.87850750344548e-181.43925375172274e-18
23611.98924704041966e-189.9462352020983e-19
23714.45648134753312e-182.22824067376656e-18
23812.8751288185087e-181.43756440925435e-18
23913.62922713567772e-181.81461356783886e-18
24011.18343723837645e-175.91718619188225e-18
24112.9886023423884e-171.4943011711942e-17
24213.83454651464591e-171.91727325732295e-17
24315.41841244684113e-172.70920622342057e-17
24417.39885935236507e-173.69942967618254e-17
24516.12849505796688e-173.06424752898344e-17
24613.29841562896213e-171.64920781448106e-17
24711.22707472515071e-176.13537362575353e-18
24812.62514828826502e-171.31257414413251e-17
24919.50665760000993e-174.75332880000497e-17
25011.28967341057909e-166.44836705289546e-17
25114.94773832927659e-162.4738691646383e-16
25218.26264877337383e-164.13132438668692e-16
25318.21090584251995e-164.10545292125998e-16
25411.70380250492523e-158.51901252462613e-16
2550.9999999999999976.04725530179761e-153.02362765089881e-15
2560.999999999999991.99966890460718e-149.99834452303592e-15
2570.9999999999999588.37901163804354e-144.18950581902177e-14
2580.9999999999998752.49058895701944e-131.24529447850972e-13
2590.9999999999998942.12419904380108e-131.06209952190054e-13
2600.9999999999999321.3644650397339e-136.8223251986695e-14
2610.9999999999999715.7581205190342e-142.8790602595171e-14
2620.9999999999999911.72971838411105e-148.64859192055526e-15
2630.999999999999992.06597789617793e-141.03298894808897e-14
2640.9999999999999921.67281708497547e-148.36408542487736e-15
2650.9999999999999959.25145916146308e-154.62572958073154e-15
2660.9999999999999983.07869484005717e-151.53934742002859e-15
2670.9999999999999975.00813112105858e-152.50406556052929e-15
2680.9999999999999911.70241174327867e-148.51205871639337e-15
2690.9999999999999784.35155500560174e-142.17577750280087e-14
2700.999999999999862.79140901810669e-131.39570450905334e-13
2710.9999999999983923.2154159419062e-121.6077079709531e-12
2720.9999999999945561.08883369155283e-115.44416845776416e-12
2730.9999999999798924.02153451532914e-112.01076725766457e-11
2740.9999999995891198.21762964204123e-104.10881482102062e-10
2750.9999999952218069.55638701740469e-094.77819350870234e-09
2760.9999999850632952.98734102769454e-081.49367051384727e-08
2770.9999998566976552.86604689802579e-071.4330234490129e-07
2780.9999976464339724.70713205686546e-062.35356602843273e-06
2790.9999295378240330.0001409243519345057.04621759672526e-05


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2390.908745247148289NOK
5% type I error level2460.935361216730038NOK
10% type I error level2490.946768060836502NOK