Multiple Linear Regression - Estimated Regression Equation |
Textiel[t] = -12.9038582451785 -0.164143076568454Voedingsmiddelen[t] + 0.0879466938746709Tabaksproducten[t] + 0.0924796096098854Kleding[t] -0.066575303047671Leer[t] + 0.503824865167603Hout[t] + 0.509904599253675Papier[t] + 0.122872141783344Uitgeverijen[t] + 0.0580122768636015Cokes[t] -0.286356682733116Chemische[t] + 0.48877492586319Rubber[t] -0.242068692402801Nietmetaalhoudende[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | -12.9038582451785 | 10.867436 | -1.1874 | 0.23761 | 0.118805 |
Voedingsmiddelen | -0.164143076568454 | 0.088691 | -1.8507 | 0.066868 | 0.033434 |
Tabaksproducten | 0.0879466938746709 | 0.035392 | 2.4849 | 0.01445 | 0.007225 |
Kleding | 0.0924796096098854 | 0.032827 | 2.8172 | 0.005736 | 0.002868 |
Leer | -0.066575303047671 | 0.025898 | -2.5707 | 0.011473 | 0.005737 |
Hout | 0.503824865167603 | 0.090641 | 5.5585 | 0 | 0 |
Papier | 0.509904599253675 | 0.134741 | 3.7843 | 0.00025 | 0.000125 |
Uitgeverijen | 0.122872141783344 | 0.050506 | 2.4328 | 0.016579 | 0.00829 |
Cokes | 0.0580122768636015 | 0.052072 | 1.1141 | 0.267654 | 0.133827 |
Chemische | -0.286356682733116 | 0.071089 | -4.0281 | 0.000103 | 5.2e-05 |
Rubber | 0.48877492586319 | 0.109462 | 4.4653 | 1.9e-05 | 1e-05 |
Nietmetaalhoudende | -0.242068692402801 | 0.055 | -4.4012 | 2.5e-05 | 1.2e-05 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.941018488927516 |
R-squared | 0.885515796503426 |
Adjusted R-squared | 0.874170515075837 |
F-TEST (value) | 78.0514614957112 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 111 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.95643510690689 |
Sum Squared Residuals | 2726.85363555668 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 102 | 102.523561423125 | -0.523561423124545 |
2 | 99 | 96.4309843543336 | 2.56901564566639 |
3 | 108 | 110.129556764131 | -2.12955676413052 |
4 | 92 | 92.2453553796106 | -0.245355379610605 |
5 | 99 | 95.4035712975092 | 3.59642870249083 |
6 | 102 | 98.7563956506942 | 3.24360434930583 |
7 | 87 | 88.1438684297205 | -1.14386842972053 |
8 | 71 | 80.2560906223946 | -9.25609062239456 |
9 | 105 | 101.577024232395 | 3.4229757676047 |
10 | 115 | 109.292105846685 | 5.707894153315 |
11 | 103 | 94.9204060551581 | 8.07959394484194 |
12 | 75 | 76.7256812076075 | -1.72568120760754 |
13 | 97 | 94.3146701264306 | 2.68532987356936 |
14 | 95 | 91.2771917657472 | 3.72280823425279 |
15 | 99 | 101.807530557236 | -2.80753055723601 |
16 | 100 | 94.8634662800544 | 5.13653371994562 |
17 | 92 | 90.2900226632264 | 1.70997733677363 |
18 | 94 | 98.7733513024597 | -4.77335130245972 |
19 | 89 | 82.2158213194355 | 6.78417868056454 |
20 | 67 | 72.2641109232101 | -5.26411092321011 |
21 | 109 | 100.432370342344 | 8.56762965765579 |
22 | 113 | 108.405419415176 | 4.59458058482427 |
23 | 106 | 96.7745115889942 | 9.22548841100581 |
24 | 78 | 79.0032312308418 | -1.00323123084184 |
25 | 102 | 98.1119887897611 | 3.88801121023889 |
26 | 97 | 95.0786219838334 | 1.9213780161666 |
27 | 96 | 97.8201535339983 | -1.82015353399829 |
28 | 99 | 98.1616764006723 | 0.838323599327686 |
29 | 86 | 92.9296683856453 | -6.92966838564526 |
30 | 92 | 98.6947420382733 | -6.69474203827331 |
31 | 86 | 87.6102717132191 | -1.61027171321906 |
32 | 62 | 72.1042276544752 | -10.1042276544752 |
33 | 105 | 105.421524304635 | -0.421524304634902 |
34 | 108 | 107.976870045813 | 0.0231299541873009 |
35 | 96 | 88.983904436825 | 7.01609556317502 |
36 | 80 | 80.4986162471762 | -0.49861624717617 |
37 | 95 | 94.2912608780045 | 0.708739121995458 |
38 | 94 | 93.504254566735 | 0.495745433265027 |
39 | 108 | 114.59373900963 | -6.59373900962952 |
40 | 97 | 106.677773958203 | -9.67777395820278 |
41 | 89 | 91.3900532511901 | -2.3900532511901 |
42 | 107 | 107.634978379288 | -0.634978379288013 |
43 | 87 | 79.8556598699764 | 7.14434013002357 |
44 | 70 | 73.5704964378432 | -3.57049643784325 |
45 | 111 | 106.926706391543 | 4.07329360845654 |
46 | 105 | 95.6148536126979 | 9.38514638730213 |
47 | 99 | 89.6785938558732 | 9.32140614412677 |
48 | 84 | 82.8598297996951 | 1.14017020030485 |
49 | 87 | 94.1721938181004 | -7.17219381810044 |
50 | 92 | 93.4730332469579 | -1.4730332469579 |
51 | 98 | 103.416624913352 | -5.41662491335243 |
52 | 95 | 100.044280194186 | -5.04428019418638 |
53 | 85 | 90.5980920896013 | -5.59809208960128 |
54 | 100 | 101.0143879893 | -1.01438798929996 |
55 | 79 | 76.4081178510149 | 2.59188214898511 |
56 | 66 | 76.8752865061516 | -10.8752865061516 |
57 | 105 | 105.920530435157 | -0.920530435157494 |
58 | 96 | 96.0737661308267 | -0.0737661308266892 |
59 | 103 | 95.531245826271 | 7.46875417372902 |
60 | 83 | 83.4893015286931 | -0.489301528693106 |
61 | 91 | 94.4989209062629 | -3.49892090626291 |
62 | 95 | 92.7646000452113 | 2.23539995478866 |
63 | 109 | 111.469218179329 | -2.46921817932946 |
64 | 92 | 94.8036032991486 | -2.80360329914858 |
65 | 99 | 102.861737602515 | -3.8617376025147 |
66 | 110 | 106.987030371906 | 3.01296962809401 |
67 | 88 | 78.9848013713018 | 9.01519862869817 |
68 | 73 | 78.748010865064 | -5.74801086506398 |
69 | 111 | 105.812433899981 | 5.18756610001863 |
70 | 112 | 107.913968709939 | 4.08603129006117 |
71 | 111 | 102.708842950492 | 8.29115704950812 |
72 | 84 | 83.6739700683773 | 0.326029931622705 |
73 | 102 | 100.882461220772 | 1.11753877922809 |
74 | 102 | 100.343551959215 | 1.65644804078456 |
75 | 114 | 117.457008935539 | -3.45700893553948 |
76 | 99 | 96.7284085698987 | 2.27159143010127 |
77 | 100 | 103.980364360144 | -3.98036436014392 |
78 | 110 | 122.245206708267 | -12.2452067082669 |
79 | 93 | 91.0842418058122 | 1.9157581941878 |
80 | 77 | 83.8881993661682 | -6.88819936616817 |
81 | 108 | 106.318852764041 | 1.68114723595922 |
82 | 120 | 119.499010305474 | 0.500989694525774 |
83 | 106 | 101.205654847196 | 4.79434515280382 |
84 | 78 | 73.6437711243981 | 4.35622887560188 |
85 | 100 | 102.910080118945 | -2.91008011894507 |
86 | 102 | 98.7618340618199 | 3.23816593818012 |
87 | 97 | 97.4339224251858 | -0.433922425185823 |
88 | 101 | 103.94480618871 | -2.94480618870972 |
89 | 89 | 91.0902466121503 | -2.09024661215033 |
90 | 93 | 97.1970698306748 | -4.19706983067482 |
91 | 89 | 83.2274890513665 | 5.7725109486335 |
92 | 62 | 60.2825171558075 | 1.71748284419254 |
93 | 96 | 92.6231388766249 | 3.3768611233751 |
94 | 95 | 94.1606667692503 | 0.839333230749726 |
95 | 80 | 73.1698725572833 | 6.83012744271674 |
96 | 67 | 62.378157190282 | 4.62184280971798 |
97 | 71 | 75.3200941359417 | -4.3200941359417 |
98 | 73 | 74.463768276944 | -1.46376827694399 |
99 | 81 | 80.540131173846 | 0.459868826153944 |
100 | 77 | 81.6669821894091 | -4.66698218940912 |
101 | 68 | 70.2873790631904 | -2.28737906319038 |
102 | 77 | 82.6662729046161 | -5.66627290461611 |
103 | 73 | 67.4078534994433 | 5.5921465005567 |
104 | 54 | 57.9408107845255 | -3.94081078452553 |
105 | 85 | 87.6182973906515 | -2.61829739065148 |
106 | 86 | 81.8505449621503 | 4.14945503784971 |
107 | 79 | 81.3722394037192 | -2.37223940371916 |
108 | 67 | 68.8467583143929 | -1.8467583143929 |
109 | 72 | 76.5620820806383 | -4.56208208063834 |
110 | 76 | 73.704820896529 | 2.29517910347103 |
111 | 90 | 91.5559099099643 | -1.55590990996428 |
112 | 84 | 84.0520305803493 | -0.0520305803493067 |
113 | 75 | 74.1401301293222 | 0.859869870677827 |
114 | 90 | 92.0705505840995 | -2.07055058409951 |
115 | 77 | 66.8788050207362 | 10.1211949792638 |
116 | 60 | 62.7140485150546 | -2.71404851505456 |
117 | 92 | 89.6378762296911 | 2.36212377030886 |
118 | 88 | 84.0011209806823 | 3.99887901931765 |
119 | 83 | 83.0540205752193 | -0.0540205752192901 |
120 | 69 | 76.6083344343238 | -7.60833443432377 |
121 | 73 | 79.3303756364705 | -6.33037563647052 |
122 | 78 | 80.9902347448782 | -2.99023474487818 |
123 | 92 | 91.2012316555186 | 0.79876834448144 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.147802124977707 | 0.295604249955415 | 0.852197875022293 |
16 | 0.0655157034941102 | 0.13103140698822 | 0.93448429650589 |
17 | 0.0571117458372887 | 0.114223491674577 | 0.942888254162711 |
18 | 0.525740243261985 | 0.948519513476029 | 0.474259756738015 |
19 | 0.47390496263799 | 0.94780992527598 | 0.52609503736201 |
20 | 0.539159935194887 | 0.921680129610226 | 0.460840064805113 |
21 | 0.501830054682542 | 0.996339890634916 | 0.498169945317458 |
22 | 0.469852572616005 | 0.939705145232009 | 0.530147427383995 |
23 | 0.44885045771776 | 0.89770091543552 | 0.55114954228224 |
24 | 0.424254080094296 | 0.848508160188593 | 0.575745919905703 |
25 | 0.474989611165091 | 0.949979222330181 | 0.525010388834909 |
26 | 0.443919447412813 | 0.887838894825627 | 0.556080552587187 |
27 | 0.406000015193003 | 0.812000030386007 | 0.593999984806997 |
28 | 0.342535798568328 | 0.685071597136656 | 0.657464201431672 |
29 | 0.586402320994296 | 0.827195358011408 | 0.413597679005704 |
30 | 0.755378294353439 | 0.489243411293121 | 0.244621705646561 |
31 | 0.70634700922343 | 0.58730598155314 | 0.29365299077657 |
32 | 0.732250368727979 | 0.535499262544043 | 0.267749631272021 |
33 | 0.685040774043008 | 0.629918451913983 | 0.314959225956992 |
34 | 0.626913894864 | 0.746172210272 | 0.373086105136 |
35 | 0.702041684292217 | 0.595916631415567 | 0.297958315707783 |
36 | 0.650209152868449 | 0.699581694263102 | 0.349790847131551 |
37 | 0.598481314794908 | 0.803037370410185 | 0.401518685205092 |
38 | 0.547968736295657 | 0.904062527408686 | 0.452031263704343 |
39 | 0.601942320436603 | 0.796115359126794 | 0.398057679563397 |
40 | 0.752312091202569 | 0.495375817594862 | 0.247687908797431 |
41 | 0.703292670148838 | 0.593414659702324 | 0.296707329851162 |
42 | 0.660782955204291 | 0.678434089591418 | 0.339217044795709 |
43 | 0.775028825056391 | 0.449942349887217 | 0.224971174943609 |
44 | 0.75712677043139 | 0.485746459137219 | 0.24287322956861 |
45 | 0.738255323505626 | 0.523489352988749 | 0.261744676494375 |
46 | 0.893929675538053 | 0.212140648923894 | 0.106070324461947 |
47 | 0.951880198219099 | 0.0962396035618023 | 0.0481198017809011 |
48 | 0.942927492354421 | 0.114145015291159 | 0.0570725076455794 |
49 | 0.959379741353664 | 0.0812405172926712 | 0.0406202586463356 |
50 | 0.949406986790229 | 0.101186026419543 | 0.0505930132097715 |
51 | 0.944877007709538 | 0.110245984580923 | 0.0551229922904615 |
52 | 0.944838549604649 | 0.110322900790702 | 0.0551614503953511 |
53 | 0.936781290287298 | 0.126437419425405 | 0.0632187097127023 |
54 | 0.917111582735071 | 0.165776834529859 | 0.0828884172649293 |
55 | 0.91637636097253 | 0.16724727805494 | 0.0836236390274698 |
56 | 0.953282583187939 | 0.0934348336241225 | 0.0467174168120613 |
57 | 0.939126942384542 | 0.121746115230916 | 0.0608730576154582 |
58 | 0.921541942324012 | 0.156916115351977 | 0.0784580576759883 |
59 | 0.953058277712812 | 0.0938834445743751 | 0.0469417222871875 |
60 | 0.938548019580731 | 0.122903960838537 | 0.0614519804192685 |
61 | 0.924285352293571 | 0.151429295412859 | 0.0757146477064295 |
62 | 0.91691832891233 | 0.166163342175339 | 0.0830816710876695 |
63 | 0.895009266903244 | 0.209981466193512 | 0.104990733096756 |
64 | 0.870723610244706 | 0.258552779510589 | 0.129276389755294 |
65 | 0.847667070184301 | 0.304665859631397 | 0.152332929815699 |
66 | 0.848363165834706 | 0.303273668330588 | 0.151636834165294 |
67 | 0.952139426559409 | 0.0957211468811824 | 0.0478605734405912 |
68 | 0.949140082693445 | 0.10171983461311 | 0.0508599173065549 |
69 | 0.970231860772941 | 0.0595362784541177 | 0.0297681392270588 |
70 | 0.978488047128889 | 0.0430239057422221 | 0.021511952871111 |
71 | 0.989186889944092 | 0.0216262201118159 | 0.010813110055908 |
72 | 0.990315692930832 | 0.019368614138336 | 0.00968430706916801 |
73 | 0.98610695043287 | 0.0277860991342591 | 0.0138930495671296 |
74 | 0.986544748877639 | 0.0269105022447211 | 0.0134552511223606 |
75 | 0.98242342830961 | 0.0351531433807805 | 0.0175765716903902 |
76 | 0.978683021593401 | 0.042633956813198 | 0.021316978406599 |
77 | 0.973300151616354 | 0.0533996967672928 | 0.0266998483836464 |
78 | 0.98808004976976 | 0.0238399004604798 | 0.0119199502302399 |
79 | 0.986601145280664 | 0.0267977094386721 | 0.013398854719336 |
80 | 0.987746434179409 | 0.0245071316411819 | 0.0122535658205909 |
81 | 0.985678234368323 | 0.0286435312633536 | 0.0143217656316768 |
82 | 0.983777726462589 | 0.0324445470748227 | 0.0162222735374113 |
83 | 0.979463178608742 | 0.0410736427825168 | 0.0205368213912584 |
84 | 0.981311875050679 | 0.0373762498986426 | 0.0186881249493213 |
85 | 0.972657510679564 | 0.0546849786408712 | 0.0273424893204356 |
86 | 0.977279028536051 | 0.0454419429278988 | 0.0227209714639494 |
87 | 0.985823276247636 | 0.0283534475047281 | 0.0141767237523641 |
88 | 0.978642149182204 | 0.0427157016355922 | 0.0213578508177961 |
89 | 0.969321373541487 | 0.0613572529170254 | 0.0306786264585127 |
90 | 0.9626036312976 | 0.0747927374048004 | 0.0373963687024002 |
91 | 0.950585326809453 | 0.0988293463810936 | 0.0494146731905468 |
92 | 0.959497731877873 | 0.0810045362442535 | 0.0405022681221267 |
93 | 0.941395874035822 | 0.117208251928356 | 0.0586041259641782 |
94 | 0.930619040487272 | 0.138761919025457 | 0.0693809595127283 |
95 | 0.909847492566876 | 0.180305014866248 | 0.0901525074331238 |
96 | 0.883159662746032 | 0.233680674507936 | 0.116840337253968 |
97 | 0.858528314168222 | 0.282943371663556 | 0.141471685831778 |
98 | 0.871841214182507 | 0.256317571634987 | 0.128158785817493 |
99 | 0.846557103390205 | 0.30688579321959 | 0.153442896609795 |
100 | 0.799417502310828 | 0.401164995378345 | 0.200582497689172 |
101 | 0.736663712317525 | 0.52667257536495 | 0.263336287682475 |
102 | 0.844948366191303 | 0.310103267617393 | 0.155051633808697 |
103 | 0.773259959133515 | 0.45348008173297 | 0.226740040866485 |
104 | 0.802429900013413 | 0.395140199973174 | 0.197570099986587 |
105 | 0.706295171137698 | 0.587409657724604 | 0.293704828862302 |
106 | 0.649484219835859 | 0.701031560328283 | 0.350515780164141 |
107 | 0.518341957013987 | 0.963316085972026 | 0.481658042986013 |
108 | 0.361640413499387 | 0.723280826998775 | 0.638359586500613 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 17 | 0.180851063829787 | NOK |
10% type I error level | 29 | 0.308510638297872 | NOK |