Multiple Linear Regression - Estimated Regression Equation |
saldo_zichtrek[t] = + 35.5499652830189 + 2.19617358490566crisis[t] -1.44032754716980M1[t] -2.07076528301887M2[t] -3.07880000000001M3[t] -1.6854M4[t] -2.09720000000000M5[t] -1.53820000000000M6[t] -1.33160000000000M7[t] -1.11160000000000M8[t] -0.501200000000004M9[t] + 1.25960000000000M10[t] + 1.50320000000000M11[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) | 35.5499652830189 | 0.955589 | 37.2021 | 0 | 0 |
crisis | 2.19617358490566 | 0.710939 | 3.0891 | 0.003334 | 0.001667 |
M1 | -1.44032754716980 | 1.27969 | -1.1255 | 0.265962 | 0.132981 |
M2 | -2.07076528301887 | 1.343906 | -1.5409 | 0.129919 | 0.06496 |
M3 | -3.07880000000001 | 1.336363 | -2.3039 | 0.025603 | 0.012802 |
M4 | -1.6854 | 1.336363 | -1.2612 | 0.213338 | 0.106669 |
M5 | -2.09720000000000 | 1.336363 | -1.5693 | 0.12314 | 0.06157 |
M6 | -1.53820000000000 | 1.336363 | -1.151 | 0.25542 | 0.12771 |
M7 | -1.33160000000000 | 1.336363 | -0.9964 | 0.324035 | 0.162018 |
M8 | -1.11160000000000 | 1.336363 | -0.8318 | 0.409636 | 0.204818 |
M9 | -0.501200000000004 | 1.336363 | -0.375 | 0.709277 | 0.354639 |
M10 | 1.25960000000000 | 1.336363 | 0.9426 | 0.350627 | 0.175314 |
M11 | 1.50320000000000 | 1.336363 | 1.1248 | 0.266249 | 0.133124 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.642327038651281 |
R-squared | 0.412584024582524 |
Adjusted R-squared | 0.265730030728155 |
F-TEST (value) | 2.80948453463018 |
F-TEST (DF numerator) | 12 |
F-TEST (DF denominator) | 48 |
p-value | 0.00549319063690001 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.11297592601036 |
Sum Squared Residuals | 214.304028667169 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 29.837 | 34.109637735849 | -4.272637735849 |
2 | 29.571 | 33.4792 | -3.90819999999999 |
3 | 30.167 | 32.4711652830189 | -2.30416528301887 |
4 | 30.524 | 33.8645652830189 | -3.34056528301887 |
5 | 30.996 | 33.4527652830189 | -2.45676528301886 |
6 | 31.033 | 34.0117652830189 | -2.97876528301887 |
7 | 31.198 | 34.2183652830189 | -3.02036528301887 |
8 | 30.937 | 34.4383652830189 | -3.50136528301887 |
9 | 31.649 | 35.0487652830189 | -3.39976528301887 |
10 | 33.115 | 36.8095652830189 | -3.69456528301887 |
11 | 34.106 | 37.0531652830189 | -2.94716528301887 |
12 | 33.926 | 35.5499652830189 | -1.62396528301887 |
13 | 33.382 | 34.1096377358491 | -0.72763773584907 |
14 | 32.851 | 33.4792 | -0.6282 |
15 | 32.948 | 32.4711652830189 | 0.476834716981132 |
16 | 36.112 | 33.8645652830189 | 2.24743471698113 |
17 | 36.113 | 33.4527652830189 | 2.66023471698113 |
18 | 35.21 | 34.0117652830189 | 1.19823471698113 |
19 | 35.193 | 34.2183652830189 | 0.97463471698113 |
20 | 34.383 | 34.4383652830189 | -0.0553652830188658 |
21 | 35.349 | 35.0487652830189 | 0.30023471698113 |
22 | 37.058 | 36.8095652830189 | 0.248434716981131 |
23 | 38.076 | 37.0531652830189 | 1.02283471698113 |
24 | 36.63 | 35.5499652830189 | 1.08003471698113 |
25 | 36.045 | 34.1096377358491 | 1.93536226415093 |
26 | 35.638 | 33.4792 | 2.1588 |
27 | 35.114 | 32.4711652830189 | 2.64283471698113 |
28 | 35.465 | 33.8645652830189 | 1.60043471698114 |
29 | 35.254 | 33.4527652830189 | 1.80123471698113 |
30 | 35.299 | 34.0117652830189 | 1.28723471698113 |
31 | 35.916 | 34.2183652830189 | 1.69763471698113 |
32 | 36.683 | 34.4383652830189 | 2.24463471698113 |
33 | 37.288 | 35.0487652830189 | 2.23923471698113 |
34 | 38.536 | 36.8095652830189 | 1.72643471698113 |
35 | 38.977 | 37.0531652830189 | 1.92383471698113 |
36 | 36.407 | 35.5499652830189 | 0.857034716981126 |
37 | 34.955 | 34.1096377358491 | 0.845362264150931 |
38 | 34.951 | 33.4792 | 1.4718 |
39 | 32.68 | 32.4711652830189 | 0.208834716981132 |
40 | 34.791 | 33.8645652830189 | 0.926434716981128 |
41 | 34.178 | 33.4527652830189 | 0.72523471698113 |
42 | 35.213 | 34.0117652830189 | 1.20123471698113 |
43 | 34.871 | 34.2183652830189 | 0.652634716981134 |
44 | 35.299 | 34.4383652830189 | 0.860634716981131 |
45 | 35.443 | 35.0487652830189 | 0.394234716981131 |
46 | 37.108 | 36.8095652830189 | 0.298434716981128 |
47 | 36.419 | 37.0531652830189 | -0.63416528301887 |
48 | 34.471 | 35.5499652830189 | -1.07896528301887 |
49 | 33.868 | 34.1096377358491 | -0.241637735849065 |
50 | 34.385 | 33.4792 | 0.905799999999998 |
51 | 33.643 | 34.6673388679245 | -1.02433886792453 |
52 | 34.627 | 36.0607388679245 | -1.43373886792453 |
53 | 32.919 | 35.6489388679245 | -2.72993886792453 |
54 | 35.5 | 36.2079388679245 | -0.707938867924528 |
55 | 36.11 | 36.4145388679245 | -0.304538867924528 |
56 | 37.086 | 36.6345388679245 | 0.451461132075471 |
57 | 37.711 | 37.2449388679245 | 0.466061132075473 |
58 | 40.427 | 39.0057388679245 | 1.42126113207547 |
59 | 39.884 | 39.2493388679245 | 0.634661132075473 |
60 | 38.512 | 37.7461388679245 | 0.765861132075471 |
61 | 38.767 | 36.3058113207547 | 2.46118867924528 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
16 | 0.999385094477527 | 0.00122981104494515 | 0.000614905522472573 |
17 | 0.99991235614124 | 0.000175287717520889 | 8.76438587604445e-05 |
18 | 0.999928879061604 | 0.000142241876791867 | 7.11209383959335e-05 |
19 | 0.999926692992786 | 0.000146614014428093 | 7.33070072140467e-05 |
20 | 0.999928177172828 | 0.000143645654344558 | 7.18228271722788e-05 |
21 | 0.999920526424178 | 0.000158947151643243 | 7.94735758216217e-05 |
22 | 0.999921987988702 | 0.000156024022596165 | 7.80120112980823e-05 |
23 | 0.999896402957053 | 0.000207194085893125 | 0.000103597042946562 |
24 | 0.999807222083554 | 0.000385555832891331 | 0.000192777916445665 |
25 | 0.999823700886871 | 0.000352598226258124 | 0.000176299113129062 |
26 | 0.999830804408722 | 0.000338391182556915 | 0.000169195591278458 |
27 | 0.99990115340675 | 0.000197693186501828 | 9.8846593250914e-05 |
28 | 0.999840610579957 | 0.000318778840086776 | 0.000159389420043388 |
29 | 0.999861520558434 | 0.00027695888313143 | 0.000138479441565715 |
30 | 0.999714799744106 | 0.000570400511787555 | 0.000285200255893778 |
31 | 0.99954889841111 | 0.000902203177779186 | 0.000451101588889593 |
32 | 0.9994566873265 | 0.00108662534699925 | 0.000543312673499626 |
33 | 0.999368763688649 | 0.00126247262270241 | 0.000631236311351203 |
34 | 0.998857975922751 | 0.00228404815449717 | 0.00114202407724858 |
35 | 0.99856058365203 | 0.00287883269594168 | 0.00143941634797084 |
36 | 0.996940902203682 | 0.00611819559263625 | 0.00305909779631813 |
37 | 0.993403265130633 | 0.0131934697387346 | 0.00659673486936732 |
38 | 0.986799173513455 | 0.0264016529730908 | 0.0132008264865454 |
39 | 0.974178350188698 | 0.0516432996226037 | 0.0258216498113018 |
40 | 0.967006418029166 | 0.065987163941668 | 0.032993581970834 |
41 | 0.986993588024052 | 0.0260128239518959 | 0.0130064119759480 |
42 | 0.990940382303429 | 0.0181192353931423 | 0.00905961769657117 |
43 | 0.990200356567998 | 0.0195992868640037 | 0.00979964343200183 |
44 | 0.988346409431996 | 0.0233071811360083 | 0.0116535905680041 |
45 | 0.98740235194817 | 0.0251952961036599 | 0.0125976480518300 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 21 | 0.7 | NOK |
5% type I error level | 28 | 0.933333333333333 | NOK |
10% type I error level | 30 | 1 | NOK |