Multiple Linear Regression - Estimated Regression Equation |
Rente[t] = + 3.4123673351131 -1.02250061050061Crisis[t] -0.00519111773349061t + 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) | 3.4123673351131 | 0.184609 | 18.4843 | 0 | 0 |
Crisis | -1.02250061050061 | 0.32887 | -3.1091 | 0.002365 | 0.001183 |
t | -0.00519111773349061 | 0.003023 | -1.7172 | 0.088629 | 0.044315 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.429926643221723 |
R-squared | 0.184836918551899 |
Adjusted R-squared | 0.170660169309323 |
F-TEST (value) | 13.0380325834357 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 115 |
p-value | 7.88059275047548e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.939757546594498 |
Sum Squared Residuals | 101.561588333851 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 3.40717621737961 | -0.407176217379612 |
2 | 3.21 | 3.40198509964612 | -0.191985099646117 |
3 | 3.37 | 3.39679398191263 | -0.0267939819126257 |
4 | 3.51 | 3.39160286417914 | 0.118397135820865 |
5 | 3.75 | 3.38641174644564 | 0.363588253554355 |
6 | 4.11 | 3.38122062871215 | 0.728779371287846 |
7 | 4.25 | 3.37602951097866 | 0.873970489021337 |
8 | 4.25 | 3.37083839324517 | 0.879161606754827 |
9 | 4.5 | 3.36564727551168 | 1.13435272448832 |
10 | 4.7 | 3.36045615777819 | 1.33954384222181 |
11 | 4.75 | 3.3552650400447 | 1.3947349599553 |
12 | 4.75 | 3.35007392231121 | 1.39992607768879 |
13 | 4.75 | 3.34488280457772 | 1.40511719542228 |
14 | 4.75 | 3.33969168684423 | 1.41030831315577 |
15 | 4.75 | 3.33450056911074 | 1.41549943088926 |
16 | 4.75 | 3.32930945137725 | 1.42069054862275 |
17 | 4.58 | 3.32411833364376 | 1.25588166635624 |
18 | 4.5 | 3.31892721591027 | 1.18107278408973 |
19 | 4.5 | 3.31373609817678 | 1.18626390182322 |
20 | 4.49 | 3.30854498044329 | 1.18145501955671 |
21 | 4.03 | 3.30335386270979 | 0.726646137290206 |
22 | 3.75 | 3.29816274497630 | 0.451837255023696 |
23 | 3.39 | 3.29297162724281 | 0.0970283727571866 |
24 | 3.25 | 3.28778050950932 | -0.0377805095093229 |
25 | 3.25 | 3.28258939177583 | -0.0325893917758323 |
26 | 3.25 | 3.27739827404234 | -0.0273982740423417 |
27 | 3.25 | 3.27220715630885 | -0.0222071563088511 |
28 | 3.25 | 3.26701603857536 | -0.0170160385753605 |
29 | 3.25 | 3.26182492084187 | -0.0118249208418698 |
30 | 3.25 | 3.25663380310838 | -0.00663380310837925 |
31 | 3.25 | 3.25144268537489 | -0.00144268537488863 |
32 | 3.25 | 3.2462515676414 | 0.00374843235860198 |
33 | 3.25 | 3.24106044990791 | 0.0089395500920926 |
34 | 3.25 | 3.23586933217442 | 0.0141306678255832 |
35 | 3.25 | 3.23067821444093 | 0.0193217855590738 |
36 | 2.85 | 3.22548709670744 | -0.375487096707435 |
37 | 2.75 | 3.22029597897395 | -0.470295978973945 |
38 | 2.75 | 3.21510486124045 | -0.465104861240454 |
39 | 2.55 | 3.20991374350696 | -0.659913743506964 |
40 | 2.5 | 3.20472262577347 | -0.704722625773473 |
41 | 2.5 | 3.19953150803998 | -0.699531508039982 |
42 | 2.1 | 3.19434039030649 | -1.09434039030649 |
43 | 2 | 3.189149272573 | -1.18914927257300 |
44 | 2 | 3.18395815483951 | -1.18395815483951 |
45 | 2 | 3.17876703710602 | -1.17876703710602 |
46 | 2 | 3.17357591937253 | -1.17357591937253 |
47 | 2 | 3.16838480163904 | -1.16838480163904 |
48 | 2 | 3.16319368390555 | -1.16319368390555 |
49 | 2 | 3.15800256617206 | -1.15800256617206 |
50 | 2 | 3.15281144843857 | -1.15281144843857 |
51 | 2 | 3.14762033070508 | -1.14762033070508 |
52 | 2 | 3.14242921297159 | -1.14242921297159 |
53 | 2 | 3.13723809523810 | -1.13723809523810 |
54 | 2 | 3.13204697750460 | -1.13204697750460 |
55 | 2 | 3.12685585977111 | -1.12685585977111 |
56 | 2 | 3.12166474203762 | -1.12166474203762 |
57 | 2 | 3.11647362430413 | -1.11647362430413 |
58 | 2 | 3.11128250657064 | -1.11128250657064 |
59 | 2 | 3.10609138883715 | -1.10609138883715 |
60 | 2 | 3.10090027110366 | -1.10090027110366 |
61 | 2 | 3.09570915337017 | -1.09570915337017 |
62 | 2 | 3.09051803563668 | -1.09051803563668 |
63 | 2 | 3.08532691790319 | -1.08532691790319 |
64 | 2 | 3.0801358001697 | -1.08013580016970 |
65 | 2 | 3.07494468243621 | -1.07494468243621 |
66 | 2 | 3.06975356470272 | -1.06975356470272 |
67 | 2 | 3.06456244696923 | -1.06456244696923 |
68 | 2 | 3.05937132923574 | -1.05937132923574 |
69 | 2 | 3.05418021150225 | -1.05418021150225 |
70 | 2 | 3.04898909376875 | -1.04898909376875 |
71 | 2 | 3.04379797603526 | -1.04379797603526 |
72 | 2.21 | 3.03860685830177 | -0.828606858301773 |
73 | 2.25 | 3.03341574056828 | -0.783415740568283 |
74 | 2.25 | 3.02822462283479 | -0.778224622834792 |
75 | 2.45 | 3.0230335051013 | -0.573033505101301 |
76 | 2.5 | 3.01784238736781 | -0.517842387367811 |
77 | 2.5 | 3.01265126963432 | -0.51265126963432 |
78 | 2.64 | 3.00746015190083 | -0.36746015190083 |
79 | 2.75 | 3.00226903416734 | -0.252269034167339 |
80 | 2.93 | 2.99707791643385 | -0.0670779164338484 |
81 | 3 | 2.99188679870036 | 0.00811320129964208 |
82 | 3.17 | 2.98669568096687 | 0.183304319033133 |
83 | 3.25 | 2.98150456323338 | 0.268495436766623 |
84 | 3.39 | 2.97631344549989 | 0.413686554500114 |
85 | 3.5 | 2.97112232776640 | 0.528877672233605 |
86 | 3.5 | 2.96593121003290 | 0.534068789967095 |
87 | 3.65 | 2.96074009229941 | 0.689259907700586 |
88 | 3.75 | 2.95554897456592 | 0.794451025434076 |
89 | 3.75 | 2.95035785683243 | 0.799642143167567 |
90 | 3.9 | 2.94516673909894 | 0.954833260901058 |
91 | 4 | 2.93997562136545 | 1.06002437863455 |
92 | 4 | 2.93478450363196 | 1.06521549636804 |
93 | 4 | 2.92959338589847 | 1.07040661410153 |
94 | 4 | 2.92440226816498 | 1.07559773183502 |
95 | 4 | 2.91921115043149 | 1.08078884956851 |
96 | 4 | 2.914020032698 | 1.085979967302 |
97 | 4 | 2.90882891496451 | 1.09117108503549 |
98 | 4 | 2.90363779723102 | 1.09636220276898 |
99 | 4 | 2.89844667949753 | 1.10155332050247 |
100 | 4 | 2.89325556176404 | 1.10674443823596 |
101 | 4 | 2.88806444403055 | 1.11193555596945 |
102 | 4 | 2.88287332629706 | 1.11712667370294 |
103 | 4.18 | 2.87768220856356 | 1.30231779143644 |
104 | 4.25 | 2.87249109083007 | 1.37750890916993 |
105 | 4.25 | 2.86729997309658 | 1.38270002690342 |
106 | 3.97 | 1.83960824486248 | 2.13039175513752 |
107 | 3.42 | 1.83441712712899 | 1.58558287287101 |
108 | 2.75 | 1.8292260093955 | 0.920773990604499 |
109 | 2.31 | 1.82403489166201 | 0.48596510833799 |
110 | 2 | 1.81884377392852 | 0.181156226071481 |
111 | 1.66 | 1.81365265619503 | -0.153652656195029 |
112 | 1.31 | 1.80846153846154 | -0.498461538461538 |
113 | 1.09 | 1.80327042072805 | -0.713270420728048 |
114 | 1 | 1.79807930299456 | -0.798079302994557 |
115 | 1 | 1.79288818526107 | -0.792888185261066 |
116 | 1 | 1.78769706752758 | -0.787697067527576 |
117 | 1 | 1.78250594979409 | -0.782505949794085 |
118 | 1 | 1.77731483206059 | -0.777314832060595 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.000971387872843095 | 0.00194277574568619 | 0.999028612127157 |
7 | 7.35515331372912e-05 | 0.000147103066274582 | 0.999926448466863 |
8 | 2.8241034445162e-05 | 5.6482068890324e-05 | 0.999971758965555 |
9 | 2.94006454644653e-06 | 5.88012909289306e-06 | 0.999997059935454 |
10 | 2.72979265341373e-07 | 5.45958530682745e-07 | 0.999999727020735 |
11 | 8.08531968728179e-08 | 1.61706393745636e-07 | 0.999999919146803 |
12 | 1.47357211653919e-07 | 2.94714423307839e-07 | 0.999999852642788 |
13 | 3.90427832884037e-07 | 7.80855665768074e-07 | 0.999999609572167 |
14 | 9.32911474175559e-07 | 1.86582294835112e-06 | 0.999999067088526 |
15 | 1.94273976002411e-06 | 3.88547952004821e-06 | 0.99999805726024 |
16 | 3.67953657731059e-06 | 7.35907315462119e-06 | 0.999996320463423 |
17 | 1.69941875235039e-05 | 3.39883750470078e-05 | 0.999983005812477 |
18 | 6.32385197705247e-05 | 0.000126477039541049 | 0.99993676148023 |
19 | 0.000149711926444567 | 0.000299423852889133 | 0.999850288073555 |
20 | 0.000302467821622505 | 0.00060493564324501 | 0.999697532178377 |
21 | 0.00205819676135868 | 0.00411639352271735 | 0.997941803238641 |
22 | 0.0114475629513499 | 0.0228951259026999 | 0.98855243704865 |
23 | 0.051276040525636 | 0.102552081051272 | 0.948723959474364 |
24 | 0.120952150184433 | 0.241904300368866 | 0.879047849815567 |
25 | 0.184630959996606 | 0.369261919993211 | 0.815369040003394 |
26 | 0.231865234778675 | 0.463730469557349 | 0.768134765221326 |
27 | 0.26368100546673 | 0.52736201093346 | 0.73631899453327 |
28 | 0.284249238181521 | 0.568498476363042 | 0.715750761818479 |
29 | 0.297890749104005 | 0.595781498208011 | 0.702109250895995 |
30 | 0.308383556975136 | 0.616767113950271 | 0.691616443024864 |
31 | 0.319001321340228 | 0.638002642680455 | 0.680998678659772 |
32 | 0.332762554427042 | 0.665525108854083 | 0.667237445572958 |
33 | 0.352754031977741 | 0.705508063955482 | 0.647245968022259 |
34 | 0.382499611738965 | 0.76499922347793 | 0.617500388261035 |
35 | 0.426330646962612 | 0.852661293925224 | 0.573669353037388 |
36 | 0.462787744399057 | 0.925575488798115 | 0.537212255600943 |
37 | 0.498491991345014 | 0.996983982690027 | 0.501508008654986 |
38 | 0.533633656019747 | 0.932732687960506 | 0.466366343980253 |
39 | 0.565682948923427 | 0.868634102153145 | 0.434317051076573 |
40 | 0.592623133768081 | 0.814753732463839 | 0.407376866231919 |
41 | 0.616323873568373 | 0.767352252863253 | 0.383676126431627 |
42 | 0.640295103902429 | 0.719409792195142 | 0.359704896097571 |
43 | 0.654412708569547 | 0.691174582860906 | 0.345587291430453 |
44 | 0.65403703182656 | 0.691925936346881 | 0.345962968173441 |
45 | 0.642825906270394 | 0.714348187459211 | 0.357174093729606 |
46 | 0.623153035604645 | 0.75369392879071 | 0.376846964395355 |
47 | 0.596716803040092 | 0.806566393919816 | 0.403283196959908 |
48 | 0.564887086547292 | 0.870225826905416 | 0.435112913452708 |
49 | 0.528888581653769 | 0.942222836692462 | 0.471111418346231 |
50 | 0.489883005713516 | 0.979766011427031 | 0.510116994286484 |
51 | 0.448989691105274 | 0.897979382210548 | 0.551010308894726 |
52 | 0.407271505955032 | 0.814543011910063 | 0.592728494044968 |
53 | 0.365705491155256 | 0.731410982310512 | 0.634294508844744 |
54 | 0.325151907605449 | 0.650303815210898 | 0.674848092394551 |
55 | 0.286330336639553 | 0.572660673279107 | 0.713669663360447 |
56 | 0.249806990283222 | 0.499613980566445 | 0.750193009716778 |
57 | 0.215993798934095 | 0.43198759786819 | 0.784006201065905 |
58 | 0.185157436675079 | 0.370314873350158 | 0.814842563324921 |
59 | 0.157435260588378 | 0.314870521176756 | 0.842564739411622 |
60 | 0.132854982231495 | 0.26570996446299 | 0.867145017768505 |
61 | 0.111355420987927 | 0.222710841975854 | 0.888644579012073 |
62 | 0.0928065532677882 | 0.185613106535576 | 0.907193446732212 |
63 | 0.0770279750866619 | 0.154055950173324 | 0.922972024913338 |
64 | 0.0638056508736227 | 0.127611301747245 | 0.936194349126377 |
65 | 0.0529073583990514 | 0.105814716798103 | 0.947092641600949 |
66 | 0.0440976065241863 | 0.0881952130483726 | 0.955902393475814 |
67 | 0.0371531773649022 | 0.0743063547298044 | 0.962846822635098 |
68 | 0.0318811958579326 | 0.0637623917158652 | 0.968118804142067 |
69 | 0.0281435163374486 | 0.0562870326748972 | 0.971856483662551 |
70 | 0.0258960067111868 | 0.0517920134223735 | 0.974103993288813 |
71 | 0.0252637292448896 | 0.0505274584897791 | 0.97473627075511 |
72 | 0.0266814411841226 | 0.0533628823682451 | 0.973318558815877 |
73 | 0.0296588006547448 | 0.0593176013094897 | 0.970341199345255 |
74 | 0.0348161548441608 | 0.0696323096883216 | 0.96518384515584 |
75 | 0.0440062775537368 | 0.0880125551074735 | 0.955993722446263 |
76 | 0.0575003023643035 | 0.115000604728607 | 0.942499697635697 |
77 | 0.0778421344002465 | 0.155684268800493 | 0.922157865599754 |
78 | 0.108929698509791 | 0.217859397019582 | 0.89107030149021 |
79 | 0.154274964096269 | 0.308549928192537 | 0.845725035903731 |
80 | 0.216111027845852 | 0.432222055691704 | 0.783888972154148 |
81 | 0.294391258777288 | 0.588782517554577 | 0.705608741222712 |
82 | 0.385499061804586 | 0.770998123609173 | 0.614500938195414 |
83 | 0.483478244513107 | 0.966956489026215 | 0.516521755486893 |
84 | 0.579649340967024 | 0.840701318065953 | 0.420350659032976 |
85 | 0.666840752866258 | 0.666318494267484 | 0.333159247133742 |
86 | 0.747151512850014 | 0.505696974299971 | 0.252848487149986 |
87 | 0.811343698134879 | 0.377312603730243 | 0.188656301865121 |
88 | 0.86073468250277 | 0.278530634994461 | 0.139265317497230 |
89 | 0.901853147 | 0.196293705999998 | 0.0981468529999992 |
90 | 0.929133340652967 | 0.141733318694065 | 0.0708666593470327 |
91 | 0.947042343669584 | 0.105915312660832 | 0.052957656330416 |
92 | 0.960671103137803 | 0.0786577937243933 | 0.0393288968621967 |
93 | 0.97130475734001 | 0.0573904853199779 | 0.0286952426599889 |
94 | 0.979627516973586 | 0.0407449660528286 | 0.0203724830264143 |
95 | 0.98600690769579 | 0.0279861846084201 | 0.0139930923042100 |
96 | 0.99069337665259 | 0.0186132466948197 | 0.00930662334740985 |
97 | 0.993942275974033 | 0.0121154480519348 | 0.00605772402596739 |
98 | 0.996051132655018 | 0.0078977346899634 | 0.0039488673449817 |
99 | 0.997329124933404 | 0.00534175013319196 | 0.00267087506659598 |
100 | 0.998044283615298 | 0.00391143276940339 | 0.00195571638470169 |
101 | 0.998391414617735 | 0.00321717076453035 | 0.00160858538226517 |
102 | 0.998499506064012 | 0.00300098787197552 | 0.00150049393598776 |
103 | 0.997650052727979 | 0.00469989454404261 | 0.00234994727202130 |
104 | 0.995471205749057 | 0.0090575885018869 | 0.00452879425094345 |
105 | 0.990818851901766 | 0.0183622961964677 | 0.00918114809823386 |
106 | 0.995790765279305 | 0.00841846944139019 | 0.00420923472069509 |
107 | 0.998648576729081 | 0.00270284654183707 | 0.00135142327091854 |
108 | 0.999012864258144 | 0.00197427148371133 | 0.000987135741855664 |
109 | 0.998996254391955 | 0.00200749121609082 | 0.00100374560804541 |
110 | 0.999317959146657 | 0.00136408170668574 | 0.00068204085334287 |
111 | 0.999765521606553 | 0.000468956786894535 | 0.000234478393447267 |
112 | 0.999921080926095 | 0.000157838147810196 | 7.89190739050981e-05 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 30 | 0.280373831775701 | NOK |
5% type I error level | 36 | 0.336448598130841 | NOK |
10% type I error level | 48 | 0.448598130841121 | NOK |