Multiple Linear Regression - Estimated Regression Equation |
werkloosheid[t] = + 0.663907484037988 -3.94105757478893indicator[t] + 1.00077195481772vooruitzichten[t] + 1.03740674497135financiƫn[t] + 0.888119561734235spaarvermogen[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) | 0.663907484037988 | 0.4621 | 1.4367 | 0.156462 | 0.078231 |
indicator | -3.94105757478893 | 0.030998 | -127.1389 | 0 | 0 |
vooruitzichten | 1.00077195481772 | 0.022989 | 43.5326 | 0 | 0 |
financiƫn | 1.03740674497135 | 0.133596 | 7.7652 | 0 | 0 |
spaarvermogen | 0.888119561734235 | 0.059123 | 15.0216 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.998682888644061 |
R-squared | 0.997367512070446 |
Adjusted R-squared | 0.997176058402843 |
F-TEST (value) | 5209.44583905243 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 55 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.22777002196627 |
Sum Squared Residuals | 82.9080574761475 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 33 | 32.8733907799466 | 0.126609220053420 |
2 | 24 | 22.9251222136838 | 1.07487778631619 |
3 | 24 | 22.3129295867181 | 1.6870704132819 |
4 | 31 | 29.2082601399261 | 1.79173986007385 |
5 | 25 | 26.1553221268715 | -1.15532212687145 |
6 | 28 | 29.2982651013039 | -1.29826510130391 |
7 | 24 | 23.1644143582987 | 0.835585641701287 |
8 | 25 | 25.2786106610176 | -0.278610661017639 |
9 | 16 | 17.6103922017263 | -1.61039220172634 |
10 | 17 | 18.4252421831533 | -1.42524218315331 |
11 | 11 | 12.6659834095522 | -1.6659834095522 |
12 | 12 | 11.1656712208522 | 0.834328779147763 |
13 | 39 | 39.1059065575873 | -0.105906557587348 |
14 | 19 | 17.8217096294454 | 1.1782903705546 |
15 | 14 | 13.4554379366509 | 0.544562063349145 |
16 | 15 | 16.4097109150700 | -1.40971091506996 |
17 | 7 | 6.41251168725893 | 0.587488312741069 |
18 | 12 | 11.5159242714974 | 0.484075728502633 |
19 | 12 | 13.6441079326642 | -1.64410793266420 |
20 | 14 | 14.8221417876148 | -0.822141787614838 |
21 | 9 | 7.71807306925522 | 1.28192693074478 |
22 | 8 | 8.75547981422656 | -0.755479814226566 |
23 | 4 | 4.77778744928401 | -0.777787449284008 |
24 | 7 | 9.13797833138822 | -2.13797833138822 |
25 | 3 | 3.08014519131288 | -0.0801451913128814 |
26 | 5 | 4.2215442561099 | 0.778455743890102 |
27 | 0 | -1.3744399758062 | 1.3744399758062 |
28 | -2 | -2.4851163010848 | 0.485116301084801 |
29 | 6 | 5.61089553877961 | 0.389104461220394 |
30 | 11 | 11.9289767681223 | -0.928976768122314 |
31 | 9 | 8.8813660402577 | 0.118633959742295 |
32 | 17 | 16.7240983770593 | 0.275901622940668 |
33 | 21 | 20.0363967038671 | 0.96360329613286 |
34 | 21 | 22.4474758860071 | -1.44747588600707 |
35 | 41 | 40.4578695246032 | 0.54213047539682 |
36 | 57 | 58.5362054583165 | -1.53620545831647 |
37 | 65 | 66.3196555732587 | -1.31965557325873 |
38 | 68 | 65.9877792046986 | 2.01222079530138 |
39 | 73 | 72.045612344774 | 0.95438765522605 |
40 | 71 | 70.0834512479147 | 0.916548752085263 |
41 | 71 | 72.7695695893089 | -1.76956958930892 |
42 | 70 | 67.7997653428065 | 2.20023465719354 |
43 | 69 | 70.3008494863241 | -1.30084948632414 |
44 | 65 | 63.3602240697047 | 1.63977593029534 |
45 | 57 | 56.4989490440828 | 0.501050955917244 |
46 | 57 | 56.3862966509993 | 0.613703349000729 |
47 | 57 | 59.3998518512777 | -2.39985185127773 |
48 | 55 | 55.8587817002212 | -0.85878170022122 |
49 | 65 | 64.3696560977802 | 0.630343902219807 |
50 | 65 | 65.0324708733475 | -0.0324708733474578 |
51 | 64 | 63.2195969597254 | 0.78040304027464 |
52 | 60 | 61.3027307262776 | -1.30273072627759 |
53 | 43 | 43.1614767725681 | -0.161476772568106 |
54 | 47 | 47.5199761676191 | -0.519976167619083 |
55 | 40 | 38.4964619532442 | 1.50353804675578 |
56 | 31 | 32.2543983268314 | -1.25439832683137 |
57 | 27 | 27.1353068970918 | -0.135306897091793 |
58 | 24 | 24.0203386395551 | -0.0203386395551479 |
59 | 23 | 20.8773956651227 | 2.12260433487731 |
60 | 17 | 16.0736139829279 | 0.926386017072149 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.619893251925594 | 0.760213496148811 | 0.380106748074406 |
9 | 0.632630497329048 | 0.734739005341905 | 0.367369502670952 |
10 | 0.568921314545944 | 0.862157370908113 | 0.431078685454057 |
11 | 0.56325797692002 | 0.87348404615996 | 0.43674202307998 |
12 | 0.599634321552322 | 0.800731356895355 | 0.400365678447678 |
13 | 0.508522990301335 | 0.98295401939733 | 0.491477009698665 |
14 | 0.446447530437689 | 0.892895060875379 | 0.55355246956231 |
15 | 0.437711670656578 | 0.875423341313156 | 0.562288329343422 |
16 | 0.362327811537557 | 0.724655623075114 | 0.637672188462443 |
17 | 0.341197792631689 | 0.682395585263378 | 0.658802207368311 |
18 | 0.298890279478185 | 0.597780558956369 | 0.701109720521815 |
19 | 0.273606435143318 | 0.547212870286635 | 0.726393564856682 |
20 | 0.236480779403556 | 0.472961558807113 | 0.763519220596444 |
21 | 0.351342923983886 | 0.702685847967772 | 0.648657076016114 |
22 | 0.333620959124991 | 0.667241918249982 | 0.666379040875009 |
23 | 0.276673327562583 | 0.553346655125165 | 0.723326672437417 |
24 | 0.317458303043468 | 0.634916606086935 | 0.682541696956532 |
25 | 0.293698581199693 | 0.587397162399387 | 0.706301418800307 |
26 | 0.390913633381787 | 0.781827266763575 | 0.609086366618213 |
27 | 0.388050019929043 | 0.776100039858087 | 0.611949980070957 |
28 | 0.374680977273399 | 0.749361954546797 | 0.625319022726601 |
29 | 0.322680650148821 | 0.645361300297642 | 0.677319349851179 |
30 | 0.282232198721397 | 0.564464397442795 | 0.717767801278603 |
31 | 0.251203075053308 | 0.502406150106617 | 0.748796924946691 |
32 | 0.195061284684385 | 0.39012256936877 | 0.804938715315615 |
33 | 0.177456218735911 | 0.354912437471822 | 0.822543781264089 |
34 | 0.262573396750346 | 0.525146793500691 | 0.737426603249654 |
35 | 0.221188273501913 | 0.442376547003827 | 0.778811726498087 |
36 | 0.253978494014267 | 0.507956988028534 | 0.746021505985733 |
37 | 0.309718628775824 | 0.619437257551647 | 0.690281371224176 |
38 | 0.391557438172936 | 0.783114876345872 | 0.608442561827064 |
39 | 0.323476070957217 | 0.646952141914434 | 0.676523929042783 |
40 | 0.263809043613109 | 0.527618087226218 | 0.736190956386891 |
41 | 0.349815264061387 | 0.699630528122773 | 0.650184735938613 |
42 | 0.736438105146765 | 0.527123789706469 | 0.263561894853235 |
43 | 0.675469891859469 | 0.649060216281063 | 0.324530108140531 |
44 | 0.746812119984141 | 0.506375760031718 | 0.253187880015859 |
45 | 0.671243473660297 | 0.657513052679407 | 0.328756526339703 |
46 | 0.589219697809926 | 0.821560604380147 | 0.410780302190073 |
47 | 0.883858513758237 | 0.232282972483525 | 0.116141486241763 |
48 | 0.819557965626437 | 0.360884068747126 | 0.180442034373563 |
49 | 0.802688452074975 | 0.394623095850051 | 0.197311547925025 |
50 | 0.693692013174342 | 0.612615973651316 | 0.306307986825658 |
51 | 0.920603295077999 | 0.158793409844003 | 0.0793967049220015 |
52 | 0.992991222747437 | 0.0140175545051266 | 0.00700877725256332 |
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 | 1 | 0.0222222222222222 | OK |
10% type I error level | 1 | 0.0222222222222222 | OK |