Multiple Linear Regression - Estimated Regression Equation |
Rente[t] = + 3.13723809523809 -1.32877655677656Crisis[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) | 3.13723809523809 | 0.092478 | 33.9241 | 0 | 0 |
Crisis | -1.32877655677656 | 0.278618 | -4.7692 | 5e-06 | 3e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.404887890970327 |
R-squared | 0.163934204254399 |
Adjusted R-squared | 0.156726740497972 |
F-TEST (value) | 22.7450612024519 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 116 |
p-value | 5.42355474930645e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.94761892292712 |
Sum Squared Residuals | 104.165868278388 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 3.1372380952381 | -0.137238095238100 |
2 | 3.21 | 3.13723809523809 | 0.0727619047619051 |
3 | 3.37 | 3.13723809523810 | 0.232761904761905 |
4 | 3.51 | 3.13723809523810 | 0.372761904761905 |
5 | 3.75 | 3.13723809523810 | 0.612761904761905 |
6 | 4.11 | 3.13723809523810 | 0.972761904761905 |
7 | 4.25 | 3.13723809523809 | 1.11276190476191 |
8 | 4.25 | 3.13723809523809 | 1.11276190476191 |
9 | 4.5 | 3.13723809523809 | 1.36276190476191 |
10 | 4.7 | 3.13723809523809 | 1.56276190476191 |
11 | 4.75 | 3.13723809523809 | 1.61276190476191 |
12 | 4.75 | 3.13723809523809 | 1.61276190476191 |
13 | 4.75 | 3.13723809523809 | 1.61276190476191 |
14 | 4.75 | 3.13723809523809 | 1.61276190476191 |
15 | 4.75 | 3.13723809523809 | 1.61276190476191 |
16 | 4.75 | 3.13723809523809 | 1.61276190476191 |
17 | 4.58 | 3.13723809523809 | 1.44276190476191 |
18 | 4.5 | 3.13723809523809 | 1.36276190476191 |
19 | 4.5 | 3.13723809523809 | 1.36276190476191 |
20 | 4.49 | 3.13723809523809 | 1.35276190476191 |
21 | 4.03 | 3.13723809523810 | 0.892761904761905 |
22 | 3.75 | 3.13723809523810 | 0.612761904761905 |
23 | 3.39 | 3.13723809523810 | 0.252761904761905 |
24 | 3.25 | 3.13723809523810 | 0.112761904761905 |
25 | 3.25 | 3.13723809523810 | 0.112761904761905 |
26 | 3.25 | 3.13723809523810 | 0.112761904761905 |
27 | 3.25 | 3.13723809523810 | 0.112761904761905 |
28 | 3.25 | 3.13723809523810 | 0.112761904761905 |
29 | 3.25 | 3.13723809523810 | 0.112761904761905 |
30 | 3.25 | 3.13723809523810 | 0.112761904761905 |
31 | 3.25 | 3.13723809523810 | 0.112761904761905 |
32 | 3.25 | 3.13723809523810 | 0.112761904761905 |
33 | 3.25 | 3.13723809523810 | 0.112761904761905 |
34 | 3.25 | 3.13723809523810 | 0.112761904761905 |
35 | 3.25 | 3.13723809523810 | 0.112761904761905 |
36 | 2.85 | 3.13723809523810 | -0.287238095238095 |
37 | 2.75 | 3.13723809523810 | -0.387238095238095 |
38 | 2.75 | 3.13723809523810 | -0.387238095238095 |
39 | 2.55 | 3.13723809523810 | -0.587238095238095 |
40 | 2.5 | 3.13723809523810 | -0.637238095238095 |
41 | 2.5 | 3.13723809523810 | -0.637238095238095 |
42 | 2.1 | 3.13723809523809 | -1.03723809523809 |
43 | 2 | 3.13723809523809 | -1.13723809523809 |
44 | 2 | 3.13723809523809 | -1.13723809523809 |
45 | 2 | 3.13723809523809 | -1.13723809523809 |
46 | 2 | 3.13723809523809 | -1.13723809523809 |
47 | 2 | 3.13723809523809 | -1.13723809523809 |
48 | 2 | 3.13723809523809 | -1.13723809523809 |
49 | 2 | 3.13723809523809 | -1.13723809523809 |
50 | 2 | 3.13723809523809 | -1.13723809523809 |
51 | 2 | 3.13723809523809 | -1.13723809523809 |
52 | 2 | 3.13723809523809 | -1.13723809523809 |
53 | 2 | 3.13723809523809 | -1.13723809523809 |
54 | 2 | 3.13723809523809 | -1.13723809523809 |
55 | 2 | 3.13723809523809 | -1.13723809523809 |
56 | 2 | 3.13723809523809 | -1.13723809523809 |
57 | 2 | 3.13723809523809 | -1.13723809523809 |
58 | 2 | 3.13723809523809 | -1.13723809523809 |
59 | 2 | 3.13723809523809 | -1.13723809523809 |
60 | 2 | 3.13723809523809 | -1.13723809523809 |
61 | 2 | 3.13723809523809 | -1.13723809523809 |
62 | 2 | 3.13723809523809 | -1.13723809523809 |
63 | 2 | 3.13723809523809 | -1.13723809523809 |
64 | 2 | 3.13723809523809 | -1.13723809523809 |
65 | 2 | 3.13723809523809 | -1.13723809523809 |
66 | 2 | 3.13723809523809 | -1.13723809523809 |
67 | 2 | 3.13723809523809 | -1.13723809523809 |
68 | 2 | 3.13723809523809 | -1.13723809523809 |
69 | 2 | 3.13723809523809 | -1.13723809523809 |
70 | 2 | 3.13723809523809 | -1.13723809523809 |
71 | 2 | 3.13723809523809 | -1.13723809523809 |
72 | 2.21 | 3.13723809523810 | -0.927238095238095 |
73 | 2.25 | 3.13723809523810 | -0.887238095238095 |
74 | 2.25 | 3.13723809523810 | -0.887238095238095 |
75 | 2.45 | 3.13723809523810 | -0.687238095238095 |
76 | 2.5 | 3.13723809523810 | -0.637238095238095 |
77 | 2.5 | 3.13723809523810 | -0.637238095238095 |
78 | 2.64 | 3.13723809523810 | -0.497238095238095 |
79 | 2.75 | 3.13723809523810 | -0.387238095238095 |
80 | 2.93 | 3.13723809523810 | -0.207238095238095 |
81 | 3 | 3.13723809523810 | -0.137238095238095 |
82 | 3.17 | 3.13723809523810 | 0.0327619047619048 |
83 | 3.25 | 3.13723809523810 | 0.112761904761905 |
84 | 3.39 | 3.13723809523810 | 0.252761904761905 |
85 | 3.5 | 3.13723809523810 | 0.362761904761905 |
86 | 3.5 | 3.13723809523810 | 0.362761904761905 |
87 | 3.65 | 3.13723809523810 | 0.512761904761905 |
88 | 3.75 | 3.13723809523810 | 0.612761904761905 |
89 | 3.75 | 3.13723809523810 | 0.612761904761905 |
90 | 3.9 | 3.13723809523810 | 0.762761904761905 |
91 | 4 | 3.13723809523810 | 0.862761904761905 |
92 | 4 | 3.13723809523810 | 0.862761904761905 |
93 | 4 | 3.13723809523810 | 0.862761904761905 |
94 | 4 | 3.13723809523810 | 0.862761904761905 |
95 | 4 | 3.13723809523810 | 0.862761904761905 |
96 | 4 | 3.13723809523810 | 0.862761904761905 |
97 | 4 | 3.13723809523810 | 0.862761904761905 |
98 | 4 | 3.13723809523810 | 0.862761904761905 |
99 | 4 | 3.13723809523810 | 0.862761904761905 |
100 | 4 | 3.13723809523810 | 0.862761904761905 |
101 | 4 | 3.13723809523810 | 0.862761904761905 |
102 | 4 | 3.13723809523810 | 0.862761904761905 |
103 | 4.18 | 3.13723809523809 | 1.04276190476190 |
104 | 4.25 | 3.13723809523809 | 1.11276190476191 |
105 | 4.25 | 3.13723809523809 | 1.11276190476191 |
106 | 3.97 | 1.80846153846154 | 2.16153846153846 |
107 | 3.42 | 1.80846153846154 | 1.61153846153846 |
108 | 2.75 | 1.80846153846154 | 0.941538461538462 |
109 | 2.31 | 1.80846153846154 | 0.501538461538462 |
110 | 2 | 1.80846153846154 | 0.191538461538462 |
111 | 1.66 | 1.80846153846154 | -0.148461538461538 |
112 | 1.31 | 1.80846153846154 | -0.498461538461538 |
113 | 1.09 | 1.80846153846154 | -0.718461538461538 |
114 | 1 | 1.80846153846154 | -0.808461538461538 |
115 | 1 | 1.80846153846154 | -0.808461538461538 |
116 | 1 | 1.80846153846154 | -0.808461538461538 |
117 | 1 | 1.80846153846154 | -0.808461538461538 |
118 | 1 | 1.80846153846154 | -0.808461538461538 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
5 | 0.0498227387083205 | 0.099645477416641 | 0.95017726129168 |
6 | 0.0678863209461671 | 0.135772641892334 | 0.932113679053833 |
7 | 0.0741282099744185 | 0.148256419948837 | 0.925871790025582 |
8 | 0.0627302655828177 | 0.125460531165635 | 0.937269734417182 |
9 | 0.0713644829767428 | 0.142728965953486 | 0.928635517023257 |
10 | 0.0930469752846355 | 0.186093950569271 | 0.906953024715365 |
11 | 0.108858488252405 | 0.21771697650481 | 0.891141511747595 |
12 | 0.115260336583937 | 0.230520673167873 | 0.884739663416063 |
13 | 0.115902670920094 | 0.231805341840188 | 0.884097329079906 |
14 | 0.113339945657443 | 0.226679891314886 | 0.886660054342557 |
15 | 0.109283637116423 | 0.218567274232846 | 0.890716362883577 |
16 | 0.104871686971025 | 0.209743373942051 | 0.895128313028975 |
17 | 0.0889775977297101 | 0.177955195459420 | 0.91102240227029 |
18 | 0.0724745542400886 | 0.144949108480177 | 0.927525445759911 |
19 | 0.0595057868118444 | 0.119011573623689 | 0.940494213188156 |
20 | 0.049138163903462 | 0.098276327806924 | 0.950861836096538 |
21 | 0.0372089291679845 | 0.074417858335969 | 0.962791070832016 |
22 | 0.0314498500021996 | 0.0628997000043992 | 0.9685501499978 |
23 | 0.0359645840771554 | 0.0719291681543107 | 0.964035415922845 |
24 | 0.044896218138647 | 0.089792436277294 | 0.955103781861353 |
25 | 0.0517128314754725 | 0.103425662950945 | 0.948287168524528 |
26 | 0.0562230308933806 | 0.112446061786761 | 0.94377696910662 |
27 | 0.0585304834456979 | 0.117060966891396 | 0.941469516554302 |
28 | 0.058897449077318 | 0.117794898154636 | 0.941102550922682 |
29 | 0.057656029695117 | 0.115312059390234 | 0.942343970304883 |
30 | 0.055154278231573 | 0.110308556463146 | 0.944845721768427 |
31 | 0.0517250992529974 | 0.103450198505995 | 0.948274900747003 |
32 | 0.047669355232356 | 0.095338710464712 | 0.952330644767644 |
33 | 0.0432476733794171 | 0.0864953467588342 | 0.956752326620583 |
34 | 0.0386775813399532 | 0.0773551626799063 | 0.961322418660047 |
35 | 0.0341339353557548 | 0.0682678707115097 | 0.965866064644245 |
36 | 0.0390523796550146 | 0.0781047593100292 | 0.960947620344985 |
37 | 0.0464456120579773 | 0.0928912241159545 | 0.953554387942023 |
38 | 0.0525237535522682 | 0.105047507104536 | 0.947476246447732 |
39 | 0.0668850607238114 | 0.133770121447623 | 0.933114939276189 |
40 | 0.0832537017761566 | 0.166507403552313 | 0.916746298223843 |
41 | 0.0980827127768197 | 0.196165425553639 | 0.90191728722318 |
42 | 0.148399879907573 | 0.296799759815146 | 0.851600120092427 |
43 | 0.215909934978293 | 0.431819869956586 | 0.784090065021707 |
44 | 0.284729478969436 | 0.569458957938872 | 0.715270521030564 |
45 | 0.350658930570354 | 0.701317861140708 | 0.649341069429646 |
46 | 0.411326006926686 | 0.822652013853372 | 0.588673993073314 |
47 | 0.465735598054044 | 0.931471196108087 | 0.534264401945956 |
48 | 0.513776076845007 | 0.972447846309987 | 0.486223923154993 |
49 | 0.555833106240837 | 0.888333787518326 | 0.444166893759163 |
50 | 0.592531090623861 | 0.814937818752278 | 0.407468909376139 |
51 | 0.62457692824764 | 0.75084614350472 | 0.37542307175236 |
52 | 0.652673796696794 | 0.694652406606412 | 0.347326203303206 |
53 | 0.677478667346656 | 0.645042665306688 | 0.322521332653344 |
54 | 0.699585284519912 | 0.600829430960176 | 0.300414715480088 |
55 | 0.71952095937747 | 0.560958081245059 | 0.280479040622530 |
56 | 0.737750137818848 | 0.524499724362304 | 0.262249862181152 |
57 | 0.754680646525168 | 0.490638706949663 | 0.245319353474832 |
58 | 0.770670295060849 | 0.458659409878302 | 0.229329704939151 |
59 | 0.786032524304977 | 0.427934951390046 | 0.213967475695023 |
60 | 0.801040330160757 | 0.397919339678485 | 0.198959669839243 |
61 | 0.815927944521877 | 0.368144110956247 | 0.184072055478123 |
62 | 0.830889844394247 | 0.338220311211505 | 0.169110155605753 |
63 | 0.846076670442047 | 0.307846659115906 | 0.153923329557953 |
64 | 0.861587644772963 | 0.276824710454074 | 0.138412355227037 |
65 | 0.87745917963466 | 0.24508164073068 | 0.12254082036534 |
66 | 0.893649708554634 | 0.212700582890732 | 0.106350291445366 |
67 | 0.910021578763771 | 0.179956842472457 | 0.0899784212362285 |
68 | 0.926322459644483 | 0.147355080711033 | 0.0736775403555167 |
69 | 0.942171572210155 | 0.115656855579690 | 0.0578284277898449 |
70 | 0.957060436719773 | 0.0858791265604539 | 0.0429395632802269 |
71 | 0.970383319843599 | 0.0592333603128028 | 0.0296166801564014 |
72 | 0.976634165757198 | 0.0467316684856051 | 0.0233658342428025 |
73 | 0.981996756727088 | 0.0360064865458232 | 0.0180032432729116 |
74 | 0.987168318729845 | 0.0256633625403098 | 0.0128316812701549 |
75 | 0.989439102621858 | 0.0211217947562838 | 0.0105608973781419 |
76 | 0.991410827163957 | 0.0171783456720868 | 0.0085891728360434 |
77 | 0.99354627071607 | 0.0129074585678598 | 0.00645372928392991 |
78 | 0.994711185599892 | 0.0105776288002169 | 0.00528881440010846 |
79 | 0.995407180235584 | 0.00918563952883117 | 0.00459281976441559 |
80 | 0.995411862594143 | 0.00917627481171316 | 0.00458813740585658 |
81 | 0.99530212315016 | 0.0093957536996815 | 0.00469787684984075 |
82 | 0.994600140110552 | 0.0107997197788962 | 0.00539985988944808 |
83 | 0.993587205893494 | 0.0128255882130118 | 0.00641279410650589 |
84 | 0.991860696322893 | 0.0162786073542135 | 0.00813930367710677 |
85 | 0.989298565462294 | 0.0214028690754117 | 0.0107014345377059 |
86 | 0.986168827713868 | 0.0276623445722634 | 0.0138311722861317 |
87 | 0.981461383306281 | 0.0370772333874371 | 0.0185386166937186 |
88 | 0.9749780985943 | 0.0500438028113983 | 0.0250219014056991 |
89 | 0.96663217751229 | 0.0667356449754192 | 0.0333678224877096 |
90 | 0.955521559695908 | 0.0889568806081847 | 0.0444784403040923 |
91 | 0.941564286936958 | 0.116871426126084 | 0.058435713063042 |
92 | 0.923863052788478 | 0.152273894423043 | 0.0761369472115216 |
93 | 0.901719718090734 | 0.196560563818531 | 0.0982802819092656 |
94 | 0.87443405840097 | 0.251131883198060 | 0.125565941599030 |
95 | 0.841361709628626 | 0.317276580742748 | 0.158638290371374 |
96 | 0.801989929584416 | 0.396020140831168 | 0.198010070415584 |
97 | 0.756028333226941 | 0.487943333546118 | 0.243971666773059 |
98 | 0.703508267821482 | 0.592983464357037 | 0.296491732178518 |
99 | 0.644881494440788 | 0.710237011118424 | 0.355118505559212 |
100 | 0.581109106504155 | 0.83778178699169 | 0.418890893495845 |
101 | 0.513743421357376 | 0.972513157285249 | 0.486256578642624 |
102 | 0.445063335494829 | 0.890126670989657 | 0.554936664505171 |
103 | 0.376818431274523 | 0.753636862549046 | 0.623181568725477 |
104 | 0.311031216633611 | 0.622062433267222 | 0.688968783366389 |
105 | 0.248363160549950 | 0.496726321099901 | 0.75163683945005 |
106 | 0.587878507177664 | 0.824242985644671 | 0.412121492822336 |
107 | 0.8715171157433 | 0.256965768513399 | 0.128482884256700 |
108 | 0.963031228198125 | 0.0739375436037492 | 0.0369687718018746 |
109 | 0.989809091986742 | 0.0203818160265160 | 0.0101909080132580 |
110 | 0.998238866211752 | 0.00352226757649528 | 0.00176113378824764 |
111 | 0.999860468057083 | 0.000279063885834137 | 0.000139531942917069 |
112 | 0.999992584307243 | 1.4831385513298e-05 | 7.415692756649e-06 |
113 | 1 | 5.58034438050468e-47 | 2.79017219025234e-47 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 7 | 0.0642201834862385 | NOK |
5% type I error level | 21 | 0.192660550458716 | NOK |
10% type I error level | 39 | 0.357798165137615 | NOK |