Multiple Linear Regression - Estimated Regression Equation
Totaal[t] = -10.6059397600565 -0.041735987522976s_t[t] -3.1774365617245s[t] + 0.203077934796797t + 0.197000832977214voeding[t] + 0.0612229420211562voeding_s[t] + 0.249547417839873dranken[t] -0.117940135739093dranken_s[t] -0.0163843621853488tabak[t] -0.0110643132889445tabak_s[t] + 0.302937607211015textiel[t] -0.0708112500168828textiel_s[t] + 0.0606263900773153kleding[t] -0.0548195277304905kleding_s[t] + 0.173418455257098apparatuur[t] + 0.2385537693664`app_s\r`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-10.60593976005659.215295-1.15090.2518050.125903
s_t-0.0417359875229760.053354-0.78230.4354370.217719
s-3.177436561724513.136354-0.24190.8092390.40462
t0.2030779347967970.0317696.392200
voeding0.1970008329772140.119671.64620.1020480.051024
voeding_s0.06122294202115620.1716570.35670.7219050.360952
dranken0.2495474178398730.0646873.85780.0001768.8e-05
dranken_s-0.1179401357390930.08016-1.47130.1435360.071768
tabak-0.01638436218534880.042768-0.38310.7022510.351126
tabak_s-0.01106431328894450.056267-0.19660.8444050.422202
textiel0.3029376072110150.0598745.05961e-061e-06
textiel_s-0.07081125001688280.078933-0.89710.3712580.185629
kleding0.06062639007731530.0289352.09530.0380130.019006
kleding_s-0.05481952773049050.036205-1.51410.1323280.066164
apparatuur0.1734184552570980.0642672.69840.0078570.003929
`app_s\r`0.23855376936640.0916962.60160.0103150.005157


Multiple Linear Regression - Regression Statistics
Multiple R0.947303847629336
R-squared0.897384579733344
Adjusted R-squared0.885982866370382
F-TEST (value)78.7061164551355
F-TEST (DF numerator)15
F-TEST (DF denominator)135
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.56147528397684
Sum Squared Residuals1712.35433678102


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
175.577.9845346401489-2.48453464014888
283.285.9496752602208-2.74967526022084
394.594.5421286604659-0.042128660465873
483.382.77087022342460.529129776575405
592.795.6738095266234-2.97380952662335
689.893.0995933861746-3.29959338617456
774.874.68310393696260.116896063037444
881.579.20314932585092.29685067414906
992.895.3598331152892-2.55983311528924
1092.895.2141070956056-2.4141070956056
1191.791.64145140999810.0585485900018664
1283.581.74733230269271.75266769730733
1392.888.70912014160784.09087985839223
1491.388.40998846848422.89001153151583
1599.598.74728384115730.752716158842748
1687.686.25171265246171.34828734753829
1795.393.99447731106421.30552268893579
1898.595.38954399864963.11045600135043
1980.187.3481604288127-7.24816042881272
2084.284.601444919562-0.401444919562037
2192.498.9664133806632-6.5664133806632
2298104.971945611874-6.97194561187356
2392.296.1277335515244-3.92773355152444
248080.1713497732358-0.171349773235839
2588.789.9569885519416-1.25698855194158
2687.490.866388419853-3.46638841985303
2796.195.96033697946170.139663020538269
2894.194.4489843229488-0.348984322948767
2991.992.8939874861181-0.993987486118083
3093.696.7529021399017-3.15290213990173
3183.587.1975791694051-3.69757916940506
3280.883.6113502226468-2.81135022264679
3396.3102.059132381775-5.7591323817748
34101.5106.238505947271-4.73850594727051
3591.692.613461262153-1.01346126215299
368487.4884814549071-3.48848145490706
3791.893.3320570392832-1.53205703928316
3890.491.9814959697073-1.58149596970724
399895.6123379084822.38766209151802
4095.593.08942827507072.41057172492926
4190.587.45186687751253.04813312248747
4297.194.08580928216343.01419071783663
4387.986.75706416632621.14293583367383
4479.876.92196235104232.87803764895771
45102101.998111776160.00188822384025417
46104.3107.072027940693-2.77202794069272
4792.192.1675157021276-0.0675157021276568
4895.990.20155476779025.69844523220979
4989.191.1973294935913-2.09732949359129
5092.291.25907601477550.940923985224481
51107.5108.130501335149-0.630501335149437
5299.794.86206222423634.83793777576374
5392.290.78760278071451.41239721928554
54108.9106.5078508180382.39214918196247
5589.888.76286267633581.03713732366417
5689.483.00111367672866.39888632327142
57107.6105.3683586702162.23164132978362
58105.6103.0300268894872.56997311051267
59100.999.62888862781441.27111137218556
60102.994.96259973692277.93740026307728
6196.290.17981602010496.02018397989508
6294.794.10358484186050.596415158139461
63107.3105.0631983464362.23680165356407
6410399.91576028350173.0842397164983
6596.195.72710060355920.372899396440783
66109.8107.5536265109842.24637348901624
6785.485.7127949426441-0.312794942644053
6889.987.93433973616671.96566026383327
69109.3109.092566608170.20743339182994
70101.2102.237691095254-1.03769109525449
71104.7104.728361231988-0.028361231988344
72102.497.14064646283525.25935353716476
7397.795.59094417086282.10905582913725
7498.996.59031837216712.30968162783288
75115109.4434805483285.55651945167208
7697.595.99052353544291.50947646455706
77107.3103.7025387465363.5974612534641
78112.3111.4035512519330.896448748067234
7988.594.721083123021-6.22108312302095
8092.991.65886150828211.24113849171791
81108.8112.295451030277-3.49545103027699
82112.3114.619937269701-2.31993726970112
83107.3110.388583448982-3.08858344898243
84101.897.80852470402613.99147529597388
85105103.9444144240111.05558557598922
86103.4104.243071375069-0.843071375069057
87116.7116.840754101783-0.14075410178315
88103.6106.166961893099-2.56696189309871
89108.8107.7836705424771.01632945752291
90117117.200187500531-0.200187500530643
91100.999.61207577044721.28792422955276
92100.897.51648542167523.28351457832482
93109.7109.5692271538430.130772846156915
94121121.284750425501-0.284750425501495
95114.1112.325921011691.77407898830957
96105.598.70101966354626.79898033645377
97112.5109.4142492015923.0857507984075
98113.8109.6196067894894.18039321051117
99115.3111.6585282780983.64147172190163
100120.4116.3172678872014.08273211279941
101111.1107.9461344001683.15386559983188
102120.1113.678158328376.42184167163017
103106.1107.382062184308-1.28206218430761
10495.992.44746491710783.45253508289226
105119.4116.8912354684592.50876453154101
106117.4114.546014694832.85398530516984
10798.6100.74695641687-2.14695641687047
10899.799.7266018248169-0.0266018248168517
10987.495.6346009852687-8.23460098526869
11090.896.6740324097174-5.87403240971736
111101.3105.944286571593-4.6442865715929
11293.299.596486524363-6.39648652436295
11395.193.44591961466061.65408038533944
114101.9106.553040019788-4.65304001978765
1158795.2916271962443-8.29162719624433
11686.286.902876861707-0.702876861707009
117105109.633005669347-4.63300566934707
118104.1108.557344120698-4.45734412069821
11999.2101.718457849614-2.51845784961391
12095.2102.62001635887-7.42001635887048
12192.792.15733435661290.542665643387148
12299.3100.153262143864-0.853262143863675
123113.5114.15136325435-0.651363254350386
124104.7107.522468774395-2.82246877439478
125100.598.99181084988971.50818915011027
126116.2116.826404450254-0.626404450254007
12794.198.0032197657029-3.90321976570289
12894.895.6718721457394-0.871872145739382
129115.1110.9565627406884.14343725931203
130110110.724154681677-0.724154681676504
131108.4107.5604680887160.839531911284088
132103.9102.2562413049711.6437586950287
133102.9101.8506373734311.04936262656875
134107.7102.6069613581915.09303864180871
135126.7119.6605531501977.03944684980329
136108.8103.6833949471315.11660505286856
137117.1113.1029939726193.99700602738106
138112.2110.8556585910651.34434140893475
13994.794.23258547475390.467414525246121
140102.799.10465464803553.59534535196447
141119.1117.9156046925541.18439530744622
142110.6111.143296780938-0.543296780937884
143109.1109.334890701806-0.234890701806101
144105.3106.030753351608-0.730753351607722
145103.4106.223841669968-2.82384166996776
146103.7110.032421033969-6.33242103396864
147117117.80188293567-0.801882935669587
148101.2105.82023654818-4.62023654817965
149105.4108.072378619276-2.67237861927586
150110.3114.390119255648-4.09011925564789
15197.7102.50780778688-4.80780778687964


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.4904856247870250.9809712495740510.509514375212975
200.5206793856091510.9586412287816990.479320614390849
210.707558400494510.5848831990109810.29244159950549
220.8902935670621460.2194128658757080.109706432937854
230.8865405751695950.2269188496608110.113459424830405
240.8393089868281860.3213820263436290.160691013171814
250.7763075785156280.4473848429687440.223692421484372
260.74945931676180.50108136647640.2505406832382
270.7050160106938810.5899679786122380.294983989306119
280.640512957764050.7189740844718990.35948704223595
290.5632972406893280.8734055186213450.436702759310673
300.5106319633574680.9787360732850630.489368036642532
310.4541839507641570.9083679015283140.545816049235843
320.4316183535979820.8632367071959630.568381646402018
330.4380909091277160.8761818182554320.561909090872284
340.4093852256245370.8187704512490750.590614774375463
350.3630640224494940.7261280448989880.636935977550506
360.3393079774075050.678615954815010.660692022592495
370.2810383372137070.5620766744274130.718961662786293
380.2425270899813810.4850541799627620.757472910018619
390.281141960348520.5622839206970410.71885803965148
400.2613122698219570.5226245396439130.738687730178043
410.220494592795310.4409891855906210.77950540720469
420.2056669500419170.4113339000838340.794333049958083
430.1744185590496160.3488371180992320.825581440950384
440.1424070439976130.2848140879952260.857592956002387
450.1790251956034470.3580503912068950.820974804396553
460.1654936539318720.3309873078637440.834506346068128
470.1331981695981460.2663963391962920.866801830401854
480.1854157380511390.3708314761022780.814584261948861
490.182330124371460.364660248742920.81766987562854
500.1476139003228690.2952278006457380.852386099677131
510.1310504706787680.2621009413575350.868949529321232
520.112679187348940.225358374697880.88732081265106
530.09868599002718130.1973719800543630.901314009972819
540.08055133926926370.1611026785385270.919448660730736
550.06131422757183430.1226284551436690.938685772428166
560.07170134944321270.1434026988864250.928298650556787
570.05613891752563120.1122778350512620.943861082474369
580.056578555110760.113157110221520.94342144488924
590.04806793776316380.09613587552632750.951932062236836
600.08200227062942390.1640045412588480.917997729370576
610.07537276493331760.1507455298666350.924627235066682
620.08082591830976030.1616518366195210.91917408169024
630.06494248776420830.1298849755284170.935057512235792
640.05239825931533110.1047965186306620.947601740684669
650.04712695940344870.09425391880689750.952873040596551
660.03674936869937010.07349873739874010.96325063130063
670.03024970368648740.06049940737297480.969750296313513
680.02271914948912750.0454382989782550.977280850510872
690.01645364894236740.03290729788473480.983546351057633
700.01710783803161510.03421567606323020.982892161968385
710.01436237296363460.02872474592726910.985637627036365
720.01298254601596630.02596509203193270.987017453984034
730.009578306416910520.0191566128338210.99042169358309
740.00684024842917380.01368049685834760.993159751570826
750.009798723996908380.01959744799381680.990201276003092
760.006885933244758150.01377186648951630.993114066755242
770.006178882312292090.01235776462458420.993821117687708
780.004621037729084480.009242075458168950.995378962270915
790.01067365896964060.02134731793928130.989326341030359
800.007518737285351740.01503747457070350.992481262714648
810.01240242062224790.02480484124449590.987597579377752
820.0130497913185240.0260995826370480.986950208681476
830.01681362352381520.03362724704763040.983186376476185
840.01439404635363250.02878809270726490.985605953646367
850.01067805671473840.02135611342947680.989321943285262
860.008571544687025710.01714308937405140.991428455312974
870.00616198827858160.01232397655716320.993838011721418
880.005703239944135760.01140647988827150.994296760055864
890.003946954267182890.007893908534365780.996053045732817
900.003271196940287080.006542393880574160.996728803059713
910.002293249588259840.004586499176519680.99770675041174
920.001700508637081160.003401017274162330.998299491362919
930.002919256140619890.005838512281239790.99708074385938
940.002591129066673030.005182258133346050.997408870933327
950.001822670472720.003645340945440.99817732952728
960.024713455467330.049426910934660.97528654453267
970.01951220782002440.03902441564004880.980487792179976
980.01776590284052610.03553180568105210.982234097159474
990.01899089606449930.03798179212899870.981009103935501
1000.01548972828917980.03097945657835950.98451027171082
1010.01450602416132090.02901204832264180.985493975838679
1020.01228068170355530.02456136340711060.987719318296445
1030.01869931781525660.03739863563051330.981300682184743
1040.01418126798259790.02836253596519590.985818732017402
1050.01191957652667980.02383915305335960.98808042347332
1060.0126774592962930.02535491859258610.987322540703707
1070.0188324200561880.0376648401123760.981167579943812
1080.02160232859051610.04320465718103220.978397671409484
1090.1125402468399870.2250804936799730.887459753160013
1100.1459234741765830.2918469483531660.854076525823417
1110.1513737485105180.3027474970210360.848626251489482
1120.2517085747335930.5034171494671860.748291425266407
1130.5085175045319390.9829649909361230.491482495468061
1140.5287215922405260.9425568155189480.471278407759474
1150.6368156349805210.7263687300389580.363184365019479
1160.5770776321303320.8458447357393360.422922367869668
1170.5589355833629420.8821288332741150.441064416637058
1180.649390427236530.701219145526940.35060957276347
1190.5831393852730610.8337212294538770.416860614726939
1200.7478363640844480.5043272718311040.252163635915552
1210.67997808765970.6400438246805990.3200219123403
1220.6110806045477670.7778387909044670.388919395452233
1230.817731792138660.3645364157226810.18226820786134
1240.7842867850804790.4314264298390410.215713214919521
1250.8072771352178020.3854457295643950.192722864782198
1260.8126494511986970.3747010976026050.187350548801303
1270.9222814784368020.1554370431263970.0777185215631983
1280.9982014083324310.003597183335137060.00179859166756853
1290.999647063836180.0007058723276405980.000352936163820299
1300.9986117005902120.002776598819575770.00138829940978789
1310.9936076412635050.01278471747298980.00639235873649489
1320.9975194337137340.004961132572533030.00248056628626651


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level120.105263157894737NOK
5% type I error level460.403508771929825NOK
10% type I error level500.43859649122807NOK