Multiple Linear Regression - Estimated Regression Equation
sterftecijfer[t] = + 5573.72291821456 + 0.185156860093506Gem_jaarlijkse_neerslag[t] + 1.02574417873282Gem_temp_januari[t] -1.75174487619193Gem_temp_juli[t] -66.0779665382136`Omvang_bevolking_>65jaar`[t] -757.873102331411`#leden_per_huishouden`[t] + 43.0198663038218`#jaren_onderwijs_personen>22j`[t] -15.0410952553819huishoudens_met_volledig_uitgeruste_keuken[t] -0.0234468835274374`bevolking_per_mijl\302\262`[t] -20.7521944074557`omvang_niet-blanke_bevolking`[t] -6.31414431985576`#kantoormedewerkers`[t] -9.42415121583915`#gezinnen_inkomen<$3000`[t] -0.0779986609488321index_olievervuiling[t] -0.357116769719697index_stikstofoxidevervuiling[t] + 0.0103298677001577index_zwaveldioxidevervuiling[t] -2.20668562764833luchtvochtigheidgraad[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5573.722918214563574.6147411.55930.1261010.063051
Gem_jaarlijkse_neerslag0.1851568600935067.3241370.02530.9799460.489973
Gem_temp_januari1.025744178732825.8747790.17460.8621940.431097
Gem_temp_juli-1.7517448761919315.408229-0.11370.9100020.455001
`Omvang_bevolking_>65jaar`-66.077966538213667.401677-0.98040.3322680.166134
`#leden_per_huishouden`-757.873102331411539.493434-1.40480.1671060.083553
`#jaren_onderwijs_personen>22j`43.019866303821897.5548010.4410.6613860.330693
huishoudens_met_volledig_uitgeruste_keuken-15.041095255381912.760139-1.17880.244830.122415
`bevolking_per_mijl\302\262`-0.02344688352743740.035875-0.65360.5167930.258397
`omvang_niet-blanke_bevolking`-20.752194407455711.158573-1.85980.0696140.034807
`#kantoormedewerkers`-6.3141443198557613.49535-0.46790.6421830.321091
`#gezinnen_inkomen<$3000`-9.4241512158391522.318748-0.42230.6748970.337448
index_olievervuiling-0.07799866094883213.936371-0.01980.9842810.49214
index_stikstofoxidevervuiling-0.3571167697196978.131-0.04390.9651670.482583
index_zwaveldioxidevervuiling0.01032986770015771.2379640.00830.993380.49669
luchtvochtigheidgraad-2.206685627648339.150472-0.24120.8105550.405277


Multiple Linear Regression - Regression Statistics
Multiple R0.624498386666687
R-squared0.389998234949295
Adjusted R-squared0.182043087772918
F-TEST (value)1.87539592188367
F-TEST (DF numerator)15
F-TEST (DF denominator)44
p-value0.0535559662015176
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation281.335775779578
Sum Squared Residuals3482592.02427386


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1921907.27690901864613.7230909813539
2997891.970870973005105.029129026995
3962952.6920153862769.30798461372387
4982513.826577947916468.173422052084
5107309.706868237439-202.706868237439
6103278.589239115447-175.589239115447
7934837.75129268636596.248707313635
8899899.861207581887-0.861207581886657
9100729.981491208755-629.981491208755
10912820.79364467954991.2063553204512
11101651.132790489304-550.132790489304
12102673.770201771466-571.770201771466
13970788.68729351898181.31270648102
14985682.049467553252302.950532446748
15958865.68329858833492.3167014116655
16860939.317016013865-79.3170160138652
17936831.455340813285104.544659186715
188711055.27917833629-184.279178336291
19959561.193983828368397.806016171632
20941816.293768104562124.706231895438
21891953.289945945515-62.2899459455154
22871833.97672277319637.0232772268036
23971749.312745470374221.687254529626
24887852.06340449059434.9365955094056
25952779.125815998156172.874184001844
26968781.552109489621186.447890510379
27919952.181523456547-33.1815234565473
28844826.5689542321117.4310457678903
29861831.28380789677929.7161921032207
30989697.531396489493291.468603510507
31100211.616145819393-111.616145819393
32861718.59610784849142.403892151511
33929913.49112960378215.5088703962183
348571013.42734822636-156.427348226358
35961649.491986076389311.508013923611
36923861.79698276434661.2030172356539
37111398.305049407989-287.305049407989
38994774.360181968579219.639818031421
39101451.736312263537-350.736312263537
40991817.487688609385173.512311390615
418931008.4017197109-115.401719710897
42938956.222281681493-18.2222816814931
43946947.945756994411-1.94575699441064
44102418.752789000392-316.752789000392
45874827.95463765565446.0453623443457
46953634.401153110721318.598846889279
478391036.68622341773-197.686223417734
48911839.25357421668271.7464257833183
49790937.898704716838-147.898704716838
508991065.86583583595-166.865835835949
51904962.699729371848-58.6997293718483
52950863.09305745158686.9069425484144
53972848.871628812539123.128371187461
54912929.945971546506-17.9459715465057
55967528.101883833459438.898116166541
568231019.30079389803-196.300793898027
57100799.979014003808-699.979014003808
58895871.57351102469723.4264889753032
59911840.9786126921770.02138730783
60954701.565306340964252.434693659036


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.9816997049454620.03660059010907670.0183002950545383
200.9622343980348740.0755312039302520.037765601965126
210.9372778730323510.1254442539352980.0627221269676491
220.9409840217817880.1180319564364240.0590159782182122
230.9135296468135930.1729407063728130.0864703531864066
240.8913640099986250.217271980002750.108635990001375
250.8668088471321010.2663823057357980.133191152867899
260.8388511159875480.3222977680249040.161148884012452
270.7642447524836540.4715104950326910.235755247516346
280.6837686446517090.6324627106965820.316231355348291
290.6554647047222770.6890705905554460.344535295277723
300.5754829924751010.8490340150497970.424517007524899
310.5057693088239710.9884613823520580.494230691176029
320.6224003156355680.7551993687288640.377599684364432
330.5382801445819920.9234397108360160.461719855418008
340.4589204047158440.9178408094316890.541079595284156
350.4415896275330180.8831792550660360.558410372466982
360.395192116135070.790384232270140.60480788386493
370.7396910088822640.5206179822354720.260308991117736
380.7151078961402020.5697842077195960.284892103859798
390.59392469804350.8121506039130.4060753019565
400.6351023994944960.7297952010110070.364897600505504
410.5036914238296740.9926171523406530.496308576170326


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level10.0434782608695652OK
10% type I error level20.0869565217391304OK