Multiple Linear Regression - Estimated Regression Equation |
faillissement[t] = + 5.94989160883175 + 65.7319584895735crisis[t] + 0.0228416024126094`t-1`[t] + 0.0167861261156532`t-2`[t] + 0.0145983909933509`t-3`[t] -0.0246343658381229`t-4`[t] + 0.957064898875237`t-12`[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) | 5.94989160883175 | 104.833963 | 0.0568 | 0.954914 | 0.477457 |
crisis | 65.7319584895735 | 19.220521 | 3.4199 | 0.001087 | 0.000543 |
`t-1` | 0.0228416024126094 | 0.067705 | 0.3374 | 0.736925 | 0.368462 |
`t-2` | 0.0167861261156532 | 0.076456 | 0.2196 | 0.826907 | 0.413453 |
`t-3` | 0.0145983909933509 | 0.068008 | 0.2147 | 0.830706 | 0.415353 |
`t-4` | -0.0246343658381229 | 0.070634 | -0.3488 | 0.728396 | 0.364198 |
`t-12` | 0.957064898875237 | 0.07609 | 12.5781 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.887312132193456 |
R-squared | 0.787322819937696 |
Adjusted R-squared | 0.767691080239638 |
F-TEST (value) | 40.1045873695823 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 65 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 75.4432942131509 |
Sum Squared Residuals | 369959.891712583 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 627 | 605.045127209127 | 21.9548727908730 |
2 | 696 | 646.301019348002 | 49.6989806519978 |
3 | 825 | 689.739352320005 | 135.260647679995 |
4 | 677 | 627.874959256533 | 49.1250407434673 |
5 | 656 | 636.756089125352 | 19.2439108746483 |
6 | 785 | 726.81078519578 | 58.1892148042202 |
7 | 412 | 479.057834086383 | -67.057834086383 |
8 | 352 | 343.967690543798 | 8.03230945620166 |
9 | 839 | 784.728726354506 | 54.2712736454936 |
10 | 729 | 708.700129319976 | 20.299870680024 |
11 | 696 | 596.3425448194 | 99.6574551806004 |
12 | 641 | 730.576472880393 | -89.5764728803927 |
13 | 695 | 622.32818822255 | 72.6718117774498 |
14 | 638 | 690.903909178274 | -52.9039091782744 |
15 | 762 | 813.97978317393 | -51.9797831739303 |
16 | 635 | 676.352930885704 | -41.3529308857043 |
17 | 721 | 653.272800099384 | 67.7271999006157 |
18 | 854 | 779.781071181035 | 74.2189288189652 |
19 | 418 | 422.368746847312 | -4.36874684731188 |
20 | 367 | 361.602495123152 | 5.39750487684838 |
21 | 824 | 819.032458705961 | 4.96754129403881 |
22 | 687 | 713.696570570778 | -26.6965705707779 |
23 | 601 | 696.651454576982 | -95.6514545769819 |
24 | 676 | 647.676625395221 | 28.3233746047794 |
25 | 740 | 686.369758515372 | 53.6302414846283 |
26 | 691 | 636.657327786959 | 54.3426722130412 |
27 | 683 | 758.501883587252 | -75.501883587252 |
28 | 594 | 635.036108016844 | -41.0361080168443 |
29 | 729 | 712.884577124153 | 16.1154228758469 |
30 | 731 | 842.85415657409 | -111.85415657409 |
31 | 386 | 426.783489023222 | -40.7834890232219 |
32 | 331 | 374.289639944161 | -43.2896399441611 |
33 | 706 | 801.32435448139 | -95.3243544813906 |
34 | 715 | 672.763113679468 | 42.2368863205315 |
35 | 657 | 604.6518488008 | 52.3481511992003 |
36 | 653 | 682.087265155155 | -29.0872651551553 |
37 | 642 | 733.167955288456 | -91.1679552884562 |
38 | 643 | 684.884957142411 | -41.8849571424108 |
39 | 718 | 678.437031821187 | 39.5629681788129 |
40 | 654 | 594.926117290778 | 59.073882709222 |
41 | 632 | 724.212551958415 | -92.2125519584147 |
42 | 731 | 725.620099390349 | 5.3799006096509 |
43 | 392 | 460.274817170836 | -68.2748171708362 |
44 | 344 | 402.810205812059 | -58.8102058120594 |
45 | 792 | 756.909845978042 | 35.090154021958 |
46 | 852 | 767.563077130497 | 84.4369228695033 |
47 | 649 | 728.594320891745 | -79.594320891745 |
48 | 629 | 728.858912298675 | -99.8589122986746 |
49 | 685 | 704.306490325439 | -19.3064903254392 |
50 | 617 | 701.76542711517 | -84.7654271151699 |
51 | 715 | 777.640897074504 | -62.6408970745037 |
52 | 715 | 718.79596121945 | -3.79596121944998 |
53 | 629 | 697.013358729046 | -68.013358729046 |
54 | 916 | 792.90418510455 | 123.095814895449 |
55 | 531 | 471.156949580182 | 59.8430504198177 |
56 | 357 | 419.985974075080 | -62.9859740750805 |
57 | 917 | 844.622245074036 | 72.3777549259636 |
58 | 828 | 899.226206885507 | -71.2262068855068 |
59 | 708 | 719.253471238712 | -11.2534712387115 |
60 | 858 | 708.33869435951 | 149.661305640490 |
61 | 775 | 748.25173225678 | 26.7482677432203 |
62 | 785 | 684.234036690756 | 100.765963309244 |
63 | 1006 | 782.007446886633 | 223.992553113367 |
64 | 789 | 782.31648095281 | 6.68351904719002 |
65 | 734 | 700.95264207206 | 33.0473579279396 |
66 | 906 | 973.711291300612 | -67.7112913006124 |
67 | 532 | 599.634778216472 | -67.6347782164718 |
68 | 387 | 431.992686083995 | -44.9926860839954 |
69 | 991 | 962.224799308998 | 28.7752006910016 |
70 | 841 | 878.711453723878 | -37.7114537238784 |
71 | 892 | 777.672731800235 | 114.327268199765 |
72 | 782 | 932.268880643728 | -150.268880643728 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.23549010318057 | 0.47098020636114 | 0.76450989681943 |
11 | 0.149765082380814 | 0.299530164761629 | 0.850234917619186 |
12 | 0.511168322632609 | 0.977663354734781 | 0.488831677367391 |
13 | 0.394928064626330 | 0.789856129252661 | 0.60507193537367 |
14 | 0.462464651796748 | 0.924929303593497 | 0.537535348203252 |
15 | 0.594903979871883 | 0.810192040256235 | 0.405096020128117 |
16 | 0.519051627016996 | 0.961896745966008 | 0.480948372983004 |
17 | 0.448608459217692 | 0.897216918435385 | 0.551391540782308 |
18 | 0.430635816236971 | 0.861271632473942 | 0.569364183763029 |
19 | 0.339010263294710 | 0.678020526589421 | 0.66098973670529 |
20 | 0.260769431105565 | 0.521538862211129 | 0.739230568894435 |
21 | 0.198222454989068 | 0.396444909978135 | 0.801777545010932 |
22 | 0.167292834876366 | 0.334585669752733 | 0.832707165123634 |
23 | 0.264959076823014 | 0.529918153646028 | 0.735040923176986 |
24 | 0.211406436650023 | 0.422812873300045 | 0.788593563349977 |
25 | 0.174887004261531 | 0.349774008523063 | 0.825112995738469 |
26 | 0.149379176367240 | 0.298758352734481 | 0.85062082363276 |
27 | 0.158841209652245 | 0.31768241930449 | 0.841158790347755 |
28 | 0.130632962579048 | 0.261265925158096 | 0.869367037420952 |
29 | 0.0963929902642912 | 0.192785980528582 | 0.90360700973571 |
30 | 0.135021934106525 | 0.270043868213049 | 0.864978065893475 |
31 | 0.109737449192589 | 0.219474898385179 | 0.89026255080741 |
32 | 0.092440905860779 | 0.184881811721558 | 0.907559094139221 |
33 | 0.109262125634911 | 0.218524251269822 | 0.89073787436509 |
34 | 0.0889583966466269 | 0.177916793293254 | 0.911041603353373 |
35 | 0.0760701624256922 | 0.152140324851384 | 0.923929837574308 |
36 | 0.0536473213927574 | 0.107294642785515 | 0.946352678607243 |
37 | 0.0583527674765869 | 0.116705534953174 | 0.941647232523413 |
38 | 0.0439209793182264 | 0.0878419586364528 | 0.956079020681774 |
39 | 0.0326485940470217 | 0.0652971880940434 | 0.967351405952978 |
40 | 0.0301575626972680 | 0.0603151253945360 | 0.969842437302732 |
41 | 0.0304563281278879 | 0.0609126562557757 | 0.969543671872112 |
42 | 0.0196743746459659 | 0.0393487492919317 | 0.980325625354034 |
43 | 0.0133953053900037 | 0.0267906107800073 | 0.986604694609996 |
44 | 0.00943264393837405 | 0.0188652878767481 | 0.990567356061626 |
45 | 0.00824779148576617 | 0.0164955829715323 | 0.991752208514234 |
46 | 0.0101694011272699 | 0.0203388022545399 | 0.98983059887273 |
47 | 0.00835784377367202 | 0.0167156875473440 | 0.991642156226328 |
48 | 0.0111461157304207 | 0.0222922314608414 | 0.98885388426958 |
49 | 0.00681209408816854 | 0.0136241881763371 | 0.993187905911831 |
50 | 0.00560609565112167 | 0.0112121913022433 | 0.994393904348878 |
51 | 0.0044270083971649 | 0.0088540167943298 | 0.995572991602835 |
52 | 0.00261675244633382 | 0.00523350489266764 | 0.997383247553666 |
53 | 0.00226830366641599 | 0.00453660733283198 | 0.997731696333584 |
54 | 0.00565794166036662 | 0.0113158833207332 | 0.994342058339633 |
55 | 0.00412986963224366 | 0.00825973926448732 | 0.995870130367756 |
56 | 0.00473696198288555 | 0.0094739239657711 | 0.995263038017114 |
57 | 0.00321109478905641 | 0.00642218957811282 | 0.996788905210944 |
58 | 0.00203067832799988 | 0.00406135665599977 | 0.997969321672 |
59 | 0.00183727757101266 | 0.00367455514202532 | 0.998162722428987 |
60 | 0.00720538103258091 | 0.0144107620651618 | 0.99279461896742 |
61 | 0.00341806659333626 | 0.00683613318667252 | 0.996581933406664 |
62 | 0.00236476766455643 | 0.00472953532911286 | 0.997635232335444 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 10 | 0.188679245283019 | NOK |
5% type I error level | 21 | 0.39622641509434 | NOK |
10% type I error level | 25 | 0.471698113207547 | NOK |