Multiple Linear Regression - Estimated Regression Equation
werkloosheid[t] = + 493431.790769231 -6167.24718898392M1[t] -15906.8261158594M2[t] -27820.405042735M3[t] -37839.5224311491M4[t] -47365.1013580247M5[t] -49205.4495156695M6[t] + 4346.9715574549M7[t] + 21789.9695536562M8[t] + 17317.7752421653M9[t] + 8601.8501614435M10[t] -2279.19030389363M11[t] + 209.617388414055t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)493431.79076923114481.00219634.074400
M1-6167.2471889839218178.032402-0.33930.7346450.367323
M2-15906.826115859418177.051148-0.87510.3822190.19111
M3-27820.40504273518176.163302-1.53060.1269260.063463
M4-37839.522431149118175.368876-2.08190.0382010.0191
M5-47365.101358024718174.667883-2.60610.0096160.004808
M6-49205.449515669518174.060333-2.70750.007170.003585
M74346.971557454918173.5462380.23920.811120.40556
M821789.969553656218173.1256031.1990.2314690.115734
M917317.775242165318172.7984360.9530.3413850.170692
M108601.850161443518172.5647410.47330.6363140.318157
M11-2279.1903038936318172.424523-0.12540.9002750.450138
t209.61738841405541.215795.08591e-060


Multiple Linear Regression - Regression Statistics
Multiple R0.427006387330459
R-squared0.18233445482101
Adjusted R-squared0.149518446318843
F-TEST (value)5.55626546747666
F-TEST (DF numerator)12
F-TEST (DF denominator)299
p-value1.37730393756641e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation65521.4398964626
Sum Squared Residuals1283624666745.62


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1348542487474.160968663-138932.160968663
2335658477944.199430199-142286.199430199
3330664466240.237891738-135576.237891738
4326814456430.737891738-129616.737891738
5322900447114.776353276-124214.776353276
6322310445484.045584046-123174.045584046
7385164499246.084045584-114082.084045584
8404861516898.699430199-112037.699430199
9412136512636.122507122-100500.122507122
10411057504129.814814815-93072.8148148148
11410040493458.391737892-83418.3917378917
12414980495947.199430199-80967.1994301994
13413626489989.56962963-76363.5696296295
14411062480459.608091168-69397.6080911681
15408352468755.646552707-60403.6465527065
16409780458946.146552706-49166.1465527065
17411318449630.185014245-38312.185014245
18415555447999.454245014-32444.4542450142
19479481501761.492706553-22280.4927065527
20497826519414.108091168-21588.1080911681
21501638515151.531168091-13513.5311680912
22497990506645.223475783-8655.22347578346
23499287495973.800398863313.19960113961
24506247498462.6080911687784.39190883193
25510401492504.97829059817896.0217094018
26508642482975.01675213725666.9832478633
27501805471271.05521367530533.9447863248
28495476461461.55521367534014.4447863248
29490336452145.59367521438190.4063247863
30490042450514.86290598339527.1370940171
31553155504276.90136752148878.0986324786
32569999521929.51675213748069.4832478633
33573170517666.9398290655503.0601709402
34571687509160.63213675262526.3678632479
35575453498489.20905982976963.790940171
36580177500978.01675213779198.9832478633
37579849495020.38695156784828.6130484331
38574346485490.42541310588855.5745868946
39563325473786.46387464489538.5361253561
40555604463976.96387464491627.0361253561
41545544454661.00233618290882.9976638177
42545109453030.27156695292078.7284330485
43605181506792.3100284998388.68997151
44627856524444.925413105103411.074586895
45631421520182.348490029111238.651509971
46625671511676.040797721113994.959202279
47613577501004.617720798112572.382279202
48606463503493.425413105102969.574586895
49601676497535.795612536104140.204387464
50589121488005.834074074101115.165925926
51573559476301.87253561297257.1274643875
52558487466492.37253561391994.6274643875
53552148457176.41099715194971.589002849
54545720455545.6802279290174.3197720798
55606569509307.71868945997261.2813105414
56636067526960.334074074109106.665925926
57630704522697.757150997108006.242849003
58623275514191.449458689109083.550541311
59617771503520.026381766114250.973618234
60605401506008.83407407499392.165925926
61619393500051.204273504119341.795726496
62596019490521.242735043105497.757264957
63569977478817.28119658191159.7188034188
64546213469007.78119658177205.2188034188
65528492459691.8196581268800.1803418804
66505944458061.08888888947882.9111111111
67554910511823.12735042743086.8726495727
68567831529475.74273504338355.2572649573
69564021525213.16581196638807.8341880342
70552800516706.85811965836093.1418803419
71541102506035.43504273535066.564957265
72542378508524.24273504333853.7572649573
73540380502566.61293447337813.3870655271
74521219493036.65139601128182.3486039886
75504652481332.6898575523319.3101424502
76490626471523.1898575519102.8101424502
77481686462207.22831908819478.7716809117
78477930460576.49754985817353.5024501425
79522605514338.5360113968266.463988604
80531432531991.151396011-559.151396011392
81532355527728.5744729344626.42552706552
82539954519222.26678062720731.7332193732
83524987508550.84370370416436.1562962963
84533307511039.65139601122267.3486039886
85530541505082.02159544225458.9784045585
86508392495552.0600569812839.93994302
87495208483848.09851851811359.9014814815
88482223474038.5985185188184.40148148149
89470495464722.6369800575772.36301994303
90466106463091.9062108263014.09378917381
91515037516853.944672365-1816.94467236467
92517752534506.56005698-16754.56005698
93515565530243.983133903-14678.9831339031
94510727521737.675441595-11010.6754415954
95499725511066.252364672-11341.2523646724
96498369513555.06005698-15186.06005698
97493756507597.43025641-13841.4302564102
98476141498067.468717949-21926.4687179487
99458458486363.507179487-27905.5071794872
100443182476554.007179487-33372.0071794872
101429597467238.045641026-37641.0456410256
102424476465607.314871795-41131.3148717948
103476257519369.353333333-43112.3533333333
104480555537021.968717949-56466.9687179487
105469762532759.391794872-62997.3917948718
106459820524253.084102564-64433.0841025641
107451028513581.661025641-62553.661025641
108450065516070.468717949-66005.4687179487
109444385510112.838917379-65727.8389173788
110428846500582.877378917-71736.8773789174
111421020488878.915840456-67858.9158404558
112399778479069.415840456-79291.4158404558
113389005469753.454301994-80748.4543019943
114384018468122.723532763-84104.7235327635
115431933521884.761994302-89951.761994302
116445844539537.377378917-93693.3773789174
117431464535274.80045584-103810.80045584
118423263526768.492763533-103505.492763533
119415881516097.06968661-100216.06968661
120416208518585.877378917-102377.877378917
121413491512628.247578348-99137.2475783475
122399153503098.286039886-103945.286039886
123385939491394.324501424-105455.324501424
124373917481584.824501425-107667.824501424
125364635472268.862962963-107633.862962963
126364696470638.132193732-105942.132193732
127418358524400.17065527-106042.170655271
128428212542052.786039886-113840.786039886
129423730537790.209116809-114060.209116809
130420677529283.901424501-108606.901424501
131417428518612.478347578-101184.478347578
132423245521101.286039886-97856.286039886
133423113515143.656239316-92030.6562393162
134418873505613.694700855-86740.6947008547
135405733493909.733162393-88176.7331623931
136397812484100.233162393-86288.2331623931
137389918474784.271623932-84866.2716239316
138391116473153.540854701-82037.5408547008
139443814526915.579316239-83101.5793162393
140460373544568.194700855-84195.1947008547
141455422540305.617777778-84883.6177777778
142456288531799.31008547-75511.3100854701
143452233521127.887008547-68894.887008547
144459256523616.694700855-64360.6947008547
145461146517659.064900285-56513.0649002848
146451391508129.103361823-56738.1033618234
147443101496425.141823362-53324.1418233618
148438810486615.641823362-47805.6418233618
149430457477299.6802849-46842.6802849003
150435721475668.949515669-39947.9495156695
151488280529430.987977208-41150.987977208
152505814547083.603361823-41269.6033618234
153502338542821.026438746-40483.0264387464
154500910534314.718746439-33404.7187464387
155501434523643.295669516-22209.2956695157
156515476526132.103361823-10656.1033618234
157520862520174.473561254687.526438746494
158519517510644.5120227928872.48797720799
159511805498940.55048433112864.4495156695
160508607489131.05048433119475.9495156695
161505327479815.08894586925511.911054131
162511435478184.35817663833250.6418233618
163570158531946.39663817738211.6033618234
164591665549599.01202279242065.987977208
165593572545336.43509971548235.5649002849
166586346536830.12740740749515.8725925926
167586063526158.70433048459904.2956695157
168591504528647.51202279262856.487977208
169594033522689.88222222271343.1177777779
170585597513159.92068376172437.0793162393
171572450501455.95914529970994.0408547009
172562917491646.45914529971270.5408547009
173554675482330.49760683872344.5023931624
174553997480699.76683760773297.2331623932
175601310534461.80529914566848.1947008547
176622255552114.42068376170140.5793162393
177616735547851.84376068468883.1562393162
178606480539345.53606837667134.463931624
179595079528674.11299145366404.887008547
180598588531162.92068376167425.0793162394
181599917525205.29088319174711.7091168092
182591573515675.32934472975897.6706552707
183575489503971.36780626871517.6321937322
184567223494161.86780626873061.1321937322
185555338484845.90626780670492.0937321937
186555252483215.17549857572036.8245014245
187608249536977.21396011471271.786039886
188630859554629.8293447376229.1706552706
189628632550367.25242165278264.7475783476
190624435541860.94472934582574.0552706553
191609670531189.52165242278480.4783475784
192615830533678.32934472982151.6706552707
193621170527720.6995441693449.3004558405
194604212518190.73800569886021.261994302
195584348506486.77646723677861.2235327636
196573717496677.27646723677039.7235327635
197555234487361.31492877567872.6850712251
198544897485730.58415954459166.4158404558
199598866539492.62262108359373.3773789174
200620081557145.23800569862935.761994302
201607699552882.66108262154816.3389173789
202589960544376.35339031345583.6466096866
203578665533704.9303133944960.0696866097
204580166536193.73800569843972.261994302
205579457530236.10820512849220.8917948719
206571560520706.14666666750853.8533333333
207560460509002.18512820551457.8148717949
208551397499192.68512820552204.3148717949
209536763489876.72358974446886.2764102564
210540562488245.99282051352316.0071794872
211588184542008.03128205146175.9687179487
212607049559660.64666666747388.3533333333
213598968555398.0697435943569.9302564103
214577644546891.76205128230752.2379487179
215562640536220.33897435926419.661025641
216565867538709.14666666727157.8533333333
217561274532751.51686609728522.4831339032
218554144523221.55532763530922.4446723647
219539900511517.59378917428382.4062108262
220526271501708.09378917424562.9062108262
221511841492392.13225071219448.8677492877
222505282490761.40148148214520.5985185185
223554083544523.439943029559.56005698003
224584225562176.05532763522048.9446723647
225568858557913.47840455810944.5215954416
226539516549407.170712251-9891.17071225072
227521612538735.747635328-17123.7476353277
228525562541224.555327635-15662.5553276353
229526519535266.925527066-8747.92552706548
230515713525736.963988604-10023.963988604
231503454514033.002450142-10579.0024501425
232489301504223.502450142-14922.5024501425
233479020494907.540911681-15887.5409116809
234475102493276.81014245-18174.8101424501
235523682547038.848603989-23356.8486039886
236551528564691.463988604-13163.463988604
237531626560428.887065527-28802.8870655271
238511037551922.579373219-40885.5793732194
239492417541251.156296296-48834.1562962963
240492188543739.963988604-51551.963988604
241492865537782.334188034-44917.3341880341
242480961528252.372649573-47291.3726495727
243461935516548.411111111-54613.4111111111
244456608506738.911111111-50130.9111111111
245441977497422.94957265-55445.9495726496
246439148495792.218803419-56644.2188034188
247488180549554.257264957-61374.2572649573
248520564567206.872649573-46642.8726495727
249501492562944.295726496-61452.2957264957
250485025554437.988034188-69412.988034188
251464196543766.564957265-79570.564957265
252460170546255.372649573-86085.3726495726
253467037540297.742849003-73260.7428490028
254460070530767.781310541-70697.7813105414
255447988519063.81977208-71075.8197720798
256442867509254.31977208-66387.3197720798
257436087499938.358233618-63851.3582336183
258431328498307.627464387-66979.6274643874
259484015552069.665925926-68054.665925926
260509673569722.281310541-60049.2813105413
261512927565459.704387464-52532.7043874644
262502831556953.396695157-54122.3966951567
263470984546281.973618234-75297.9736182336
264471067548770.781310541-77703.7813105413
265476049542813.151509971-66764.1515099714
266474605533283.18997151-58678.18997151
267470439521579.228433048-51140.2284330485
268461251511769.728433048-50518.7284330485
269454724502453.766894587-47729.7668945869
270455626500823.036125356-45197.0361253561
271516847554585.074586895-37738.0745868946
272525192572237.68997151-47045.68997151
273522975567975.113048433-45000.1130484331
274518585559468.805356125-40883.8053561254
275509239548797.382279202-39558.3822792023
276512238551286.18997151-39048.18997151
277519164545328.56017094-26164.5601709401
278517009535798.598632479-18789.5986324786
279509933524094.637094017-14161.6370940171
280509127514285.137094017-5158.13709401712
281500857504969.175555556-4112.17555555558
282506971503338.4447863253632.5552136752
283569323557100.48324786312222.5167521368
284579714574753.0986324794960.90136752136
285577992570490.5217094027501.47829059827
286565464561984.2140170943479.78598290596
287547344551312.790940171-3968.79094017096
288554788553801.598632479986.401367521348
289562325547843.96883190914481.0311680912
290560854538314.00729344722539.9927065527
291555332526610.04575498628721.9542450142
292543599516800.54575498626798.4542450142
293536662507484.58421652429177.4157834757
294542722505853.85344729336868.1465527065
295593530559615.89190883233914.1080911681
296610763577268.50729344733494.4927065527
297612613573005.9303703739607.0696296296
298611324564499.62267806346824.3773219373
299594167553828.1996011440338.8003988604
300595454556317.00729344739136.9927065527
301590865550359.37749287740505.6225071226
302589379540829.41595441648549.584045584
303584428529125.45441595455302.5455840456
304573100519315.95441595453784.0455840456
305567456509999.99287749357456.0071225071
306569028508369.26210826260658.7378917379
307620735562131.30056980158603.6994301994
308628884579783.91595441649100.084045584
309628232575521.33903133952710.660968661
310612117567015.03133903145101.9686609687
311595404556343.60826210839060.3917378917
312597141558832.41595441638308.584045584


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.000892445623388630.001784891246777260.999107554376611
170.0002071362315427690.0004142724630855380.999792863768457
186.08799466144726e-050.0001217598932289450.999939120053385
191.43222153828468e-052.86444307656936e-050.999985677784617
202.49379556396242e-064.98759112792484e-060.999997506204436
213.16217439537071e-076.32434879074141e-070.99999968378256
223.4341008810937e-086.8682017621874e-080.999999965658991
233.86312987134778e-097.72625974269556e-090.99999999613687
244.69070841701748e-109.38141683403497e-100.99999999953093
254.45361510469845e-118.9072302093969e-110.999999999955464
265.82749061089313e-121.16549812217863e-110.999999999994173
275.55441591354079e-131.11088318270816e-120.999999999999445
285.23361382684898e-141.0467227653698e-130.999999999999948
296.73062679728383e-151.34612535945677e-140.999999999999993
301.05832328572738e-152.11664657145477e-150.999999999999999
311.55598203432782e-163.11196406865563e-161
322.91004268580587e-175.82008537161173e-171
337.30714017158195e-181.46142803431639e-171
341.35631554033292e-182.71263108066584e-181
351.53073946994151e-193.06147893988302e-191
361.88473228113069e-203.76946456226137e-201
375.37370977819631e-211.07474195563926e-201
381.17316576994611e-212.34633153989222e-211
397.82715430441178e-221.56543086088236e-211
401.10593856693978e-212.21187713387956e-211
415.78501250827691e-211.15700250165538e-201
421.56403727299304e-203.12807454598608e-201
434.15464908227534e-208.30929816455068e-201
442.99744473864676e-205.99488947729352e-201
452.12572400379794e-204.25144800759587e-201
462.12207757959458e-204.24415515918916e-201
471.53098074245542e-193.06196148491084e-191
484.64170365607535e-189.28340731215069e-181
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1670.999999530199289.39601440241427e-074.69800720120714e-07
1680.999999496944041.00611191913008e-065.03055959565039e-07
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1800.9999990192755951.96144880958253e-069.80724404791263e-07
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1850.9999986603869682.67922606318755e-061.33961303159378e-06
1860.9999985436960142.91260797201957e-061.45630398600979e-06
1870.9999984132454253.17350914957132e-061.58675457478566e-06
1880.999998359418463.28116308187098e-061.64058154093549e-06
1890.9999983922046023.21559079519994e-061.60779539759997e-06
1900.9999986194394762.76112104797354e-061.38056052398677e-06
1910.9999988451466862.30970662777182e-061.15485331388591e-06
1920.9999991312611341.73747773278788e-068.6873886639394e-07
1930.9999994943549971.01129000614497e-065.05645003072483e-07
1940.9999996530494676.93901066063775e-073.46950533031888e-07
1950.999999724265455.51469098885299e-072.75734549442649e-07
1960.9999997820528374.35894326521951e-072.17947163260975e-07
1970.9999998034843473.93031306693103e-071.96515653346552e-07
1980.9999997961192244.07761551840874e-072.03880775920437e-07
1990.9999997968114684.06377063049744e-072.03188531524872e-07
2000.9999998088104273.82379144923557e-071.91189572461779e-07
2010.999999806379343.87241321108863e-071.93620660554431e-07
2020.9999997963639144.07272171559903e-072.03636085779952e-07
2030.9999998124681763.75063647032294e-071.87531823516147e-07
2040.9999998335076833.32984634021051e-071.66492317010526e-07
2050.9999998658929572.68214085998175e-071.34107042999087e-07
2060.9999998929853382.14029323959034e-071.07014661979517e-07
2070.9999999173528181.65294364645374e-078.26471823226872e-08
2080.9999999397892041.20421591677964e-076.0210795838982e-08
2090.9999999535696719.28606575682406e-084.64303287841203e-08
2100.9999999698111316.03777369368722e-083.01888684684361e-08
2110.9999999792742034.14515934997488e-082.07257967498744e-08
2120.9999999866053222.6789355163883e-081.33946775819415e-08
2130.9999999918149591.63700827800446e-088.1850413900223e-09
2140.9999999944528571.10942863368254e-085.54714316841268e-09
2150.9999999969519276.09614592378876e-093.04807296189438e-09
2160.9999999986206262.7587475829071e-091.37937379145355e-09
2170.9999999993934211.21315803446963e-096.06579017234817e-10
2180.9999999997583264.83347914552319e-102.4167395727616e-10
2190.9999999999035931.92813807119726e-109.64069035598628e-11
2200.9999999999606687.86646745879028e-113.93323372939514e-11
2210.9999999999830853.38299917298966e-111.69149958649483e-11
2220.9999999999919321.61366623805193e-118.06833119025965e-12
2230.9999999999960247.95234401599592e-123.97617200799796e-12
2240.9999999999990741.85185482139514e-129.2592741069757e-13
2250.9999999999997385.23933181337062e-132.61966590668531e-13
2260.9999999999998652.69726487916817e-131.34863243958408e-13
2270.9999999999999461.0702817240696e-135.351408620348e-14
2280.9999999999999862.8460716913323e-141.42303584566615e-14
2290.9999999999999976.01575987931308e-153.00787993965654e-15
23011.39070513595561e-156.95352567977804e-16
23112.88191986777283e-161.44095993388642e-16
23216.81338024579003e-173.40669012289501e-17
23311.30570388385813e-176.52851941929066e-18
23412.49805299434161e-181.2490264971708e-18
23515.22404112150812e-192.61202056075406e-19
23611.90451167100417e-209.52255835502084e-21
23712.07426336649513e-211.03713168324757e-21
23813.93487973837893e-221.96743986918946e-22
23913.85040401419165e-231.92520200709583e-23
24012.11640250259427e-241.05820125129713e-24
24111.07031659209854e-255.35158296049272e-26
24211.05081009275048e-265.25405046375239e-27
24313.73842766452656e-271.86921383226328e-27
24415.99410146347582e-282.99705073173791e-28
24512.01530618717806e-281.00765309358903e-28
24619.72788272368434e-294.86394136184217e-29
24719.21288618884018e-294.60644309442009e-29
24811.00961580531047e-305.04807902655233e-31
24913.54541324443796e-311.77270662221898e-31
25013.39749397224544e-311.69874698612272e-31
25113.4636033305453e-311.73180166527265e-31
25217.91606104157957e-313.95803052078978e-31
25312.02659221136635e-301.01329610568317e-30
25418.7273076664058e-304.3636538332029e-30
25515.46056182828728e-292.73028091414364e-29
25612.96386949363074e-281.48193474681537e-28
25711.57855445235852e-277.89277226179258e-28
25811.04819172958237e-265.24095864791186e-27
25916.34947647461198e-263.17473823730599e-26
26012.84604249449834e-251.42302124724917e-25
26118.19520536265154e-254.09760268132577e-25
26212.49074276744832e-241.24537138372416e-24
26311.61767000204581e-238.08835001022907e-24
26419.42189299975154e-234.71094649987577e-23
26514.0366154876006e-222.0183077438003e-22
26611.71122828952221e-218.55614144761104e-22
26717.96576789730461e-213.98288394865231e-21
26813.19462571295297e-201.59731285647649e-20
26911.2462671788418e-196.23133589420899e-20
27012.94377867111078e-191.47188933555539e-19
27111.21143348059794e-186.0571674029897e-19
27212.97639652619114e-181.48819826309557e-18
27314.12168004565236e-182.06084002282618e-18
27419.76203439654685e-184.88101719827342e-18
27514.93284877363258e-172.46642438681629e-17
27612.13557846102591e-161.06778923051295e-16
27717.32648323104762e-163.66324161552381e-16
27812.00380220106189e-151.00190110053094e-15
2790.9999999999999983.17646425927085e-151.58823212963543e-15
2800.9999999999999911.76186394699207e-148.80931973496034e-15
2810.9999999999999647.22051694861164e-143.61025847430582e-14
2820.999999999999833.393637472864e-131.696818736432e-13
2830.9999999999985732.85372232584555e-121.42686116292278e-12
2840.9999999999887492.25027486567873e-111.12513743283936e-11
2850.9999999999222921.55414937369996e-107.77074686849981e-11
2860.9999999996248257.50349871438447e-103.75174935719224e-10
2870.9999999987259462.54810768098833e-091.27405384049417e-09
2880.999999993714441.25711188935795e-086.28555944678975e-09
2890.999999961453627.70927580699106e-083.85463790349553e-08
2900.9999997772413534.45517293939243e-072.22758646969622e-07
2910.999998849669412.30066117831621e-061.1503305891581e-06
2920.9999947991325481.04017349041095e-055.20086745205476e-06
2930.9999828966920843.42066158321131e-051.71033079160565e-05
2940.9999301812617570.0001396374764856086.9818738242804e-05
2950.9998572647375780.0002854705248448460.000142735262422423
2960.9993711521834020.001257695633196030.000628847816598016


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2370.843416370106762NOK
5% type I error level2520.896797153024911NOK
10% type I error level2590.921708185053381NOK