Multiple Linear Regression - Estimated Regression Equation |
saldo_zichtrek[t] = + 4.25594081528187 + 0.720234616005331crisis[t] + 0.856141359397383`Yt-1`[t] + 0.0821221882076306`Yt-2`[t] -0.250361502036348`Yt-3`[t] + 0.228921383100153`Yt-4`[t] -1.70906219387124M1[t] -1.01532730724768M2[t] -0.767054591316031M3[t] -1.18454400203984M4[t] -0.537866020905931M5[t] + 0.613409664166027M6[t] -0.685453433357246M7[t] -2.43197864185542M8[t] -1.44235537582931M9[t] -1.1955274997821M10[t] -2.55721615948579M11[t] -0.00737361908607257t + 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) | 4.25594081528187 | 2.781155 | 1.5303 | 0.13402 | 0.06701 |
crisis | 0.720234616005331 | 0.45011 | 1.6001 | 0.117641 | 0.05882 |
`Yt-1` | 0.856141359397383 | 0.15499 | 5.5239 | 2e-06 | 1e-06 |
`Yt-2` | 0.0821221882076306 | 0.194523 | 0.4222 | 0.675218 | 0.337609 |
`Yt-3` | -0.250361502036348 | 0.192694 | -1.2993 | 0.201479 | 0.10074 |
`Yt-4` | 0.228921383100153 | 0.160764 | 1.424 | 0.162412 | 0.081206 |
M1 | -1.70906219387124 | 0.635516 | -2.6893 | 0.010482 | 0.005241 |
M2 | -1.01532730724768 | 0.596114 | -1.7032 | 0.09648 | 0.04824 |
M3 | -0.767054591316031 | 0.660432 | -1.1614 | 0.252521 | 0.12626 |
M4 | -1.18454400203984 | 0.57887 | -2.0463 | 0.04751 | 0.023755 |
M5 | -0.537866020905931 | 0.604839 | -0.8893 | 0.37931 | 0.189655 |
M6 | 0.613409664166027 | 0.608885 | 1.0074 | 0.319937 | 0.159969 |
M7 | -0.685453433357246 | 0.714932 | -0.9588 | 0.343582 | 0.171791 |
M8 | -2.43197864185542 | 0.705807 | -3.4457 | 0.001377 | 0.000689 |
M9 | -1.44235537582931 | 0.686764 | -2.1002 | 0.042227 | 0.021113 |
M10 | -1.1955274997821 | 0.627557 | -1.9051 | 0.064166 | 0.032083 |
M11 | -2.55721615948579 | 0.609255 | -4.1973 | 0.000151 | 7.6e-05 |
t | -0.00737361908607257 | 0.013092 | -0.5632 | 0.576502 | 0.288251 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.951284299126547 |
R-squared | 0.904941817764685 |
Adjusted R-squared | 0.86350619986724 |
F-TEST (value) | 21.8397085329934 |
F-TEST (DF numerator) | 17 |
F-TEST (DF denominator) | 39 |
p-value | 8.32667268468867e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.797997887006061 |
Sum Squared Residuals | 24.8352244789794 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 30.996 | 30.5766312390722 | 0.419368760927771 |
2 | 31.033 | 31.4863003063172 | -0.453300306317151 |
3 | 31.198 | 31.8446963943952 | -0.64669639439516 |
4 | 30.937 | 31.5276895146551 | -0.590689514655115 |
5 | 31.649 | 32.0558786602024 | -0.406878660202423 |
6 | 33.115 | 33.7550799262958 | -0.640079926295762 |
7 | 34.106 | 33.8655338208098 | 0.240466179190174 |
8 | 33.926 | 32.8424563378618 | 1.08354366213825 |
9 | 33.382 | 33.5479456914060 | -0.16594569140605 |
10 | 32.851 | 33.3943675540844 | -0.543367554084434 |
11 | 32.948 | 31.7979459040885 | 1.15005409591149 |
12 | 36.112 | 34.4822180825613 | 1.62978191743874 |
13 | 36.113 | 35.4909881081682 | 0.622011891831774 |
14 | 35.21 | 36.2921978004303 | -1.08219780043035 |
15 | 35.193 | 34.990144953646 | 0.202855046353993 |
16 | 34.383 | 35.2006280794017 | -0.817628079401719 |
17 | 35.349 | 35.3713672208601 | -0.0223672208600803 |
18 | 37.058 | 37.0733230041708 | -0.0153230041708290 |
19 | 38.076 | 37.5084630577169 | 0.56753694228308 |
20 | 36.63 | 36.3391874223678 | 0.290812577632183 |
21 | 36.045 | 35.9603273003092 | 0.0846726996907642 |
22 | 35.638 | 35.7165488125198 | -0.0785488125198321 |
23 | 35.114 | 34.5460602202944 | 0.567939779705613 |
24 | 35.465 | 36.4293021164978 | -0.964302116497802 |
25 | 35.254 | 34.9383180162834 | 0.315681983716615 |
26 | 35.299 | 35.5108767691942 | -0.211876769194184 |
27 | 35.916 | 35.5651427535416 | 0.350857246458405 |
28 | 36.683 | 35.8053921233471 | 0.87760787665294 |
29 | 37.288 | 37.0924576187510 | 0.195542381248963 |
30 | 38.536 | 38.6731413410107 | -0.137141341010666 |
31 | 38.977 | 38.4342701861058 | 0.542729813894208 |
32 | 36.407 | 37.1845321810047 | -0.777532181004741 |
33 | 34.955 | 35.8287607015273 | -0.873760701527295 |
34 | 34.951 | 34.7893281446608 | 0.161671855339216 |
35 | 32.68 | 34.0419832733365 | -1.36198327333654 |
36 | 34.791 | 34.4223972441813 | 0.368602755818647 |
37 | 34.178 | 33.9953839492391 | 0.182616050760897 |
38 | 35.213 | 34.8979457883645 | 0.315054211635549 |
39 | 34.871 | 34.9262166989959 | -0.0552166989958623 |
40 | 35.299 | 34.9302744295397 | 0.368725570460320 |
41 | 35.443 | 35.5084685425946 | -0.0654685425945736 |
42 | 37.108 | 37.1333605260916 | -0.0253605260916374 |
43 | 36.419 | 37.078978932089 | -0.659978932089023 |
44 | 34.471 | 34.9338584469193 | -0.462858446919319 |
45 | 33.868 | 33.8078753163541 | 0.0601246836459072 |
46 | 34.385 | 33.9247554887349 | 0.46024451126505 |
47 | 33.643 | 33.9990106022806 | -0.356010602280565 |
48 | 34.627 | 35.6610825567596 | -1.03408255675958 |
49 | 32.919 | 34.4586786872371 | -1.53967868723706 |
50 | 35.5 | 34.0676793356939 | 1.43232066430613 |
51 | 36.11 | 35.9617991994214 | 0.148200800578625 |
52 | 37.086 | 36.9240158530564 | 0.161984146943574 |
53 | 37.711 | 37.4118279575919 | 0.299172042408114 |
54 | 40.427 | 39.6090952024311 | 0.817904797568894 |
55 | 39.884 | 40.5747540032784 | -0.690754003278439 |
56 | 38.512 | 38.6459656118464 | -0.133965611846371 |
57 | 38.767 | 37.8720909904033 | 0.894909009596673 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
21 | 0.309358967795888 | 0.618717935591775 | 0.690641032204112 |
22 | 0.161614061327992 | 0.323228122655983 | 0.838385938672008 |
23 | 0.13988710029793 | 0.27977420059586 | 0.86011289970207 |
24 | 0.449071255069568 | 0.898142510139137 | 0.550928744930432 |
25 | 0.498216936491179 | 0.996433872982359 | 0.501783063508821 |
26 | 0.571828988376596 | 0.856342023246807 | 0.428171011623404 |
27 | 0.538646435073217 | 0.922707129853567 | 0.461353564926783 |
28 | 0.554832542794564 | 0.890334914410872 | 0.445167457205436 |
29 | 0.474816950012249 | 0.949633900024497 | 0.525183049987751 |
30 | 0.352333913567286 | 0.704667827134572 | 0.647666086432714 |
31 | 0.555047418014722 | 0.889905163970557 | 0.444952581985278 |
32 | 0.565303876646763 | 0.869392246706474 | 0.434696123353237 |
33 | 0.442962996934555 | 0.88592599386911 | 0.557037003065445 |
34 | 0.309141875570677 | 0.618283751141354 | 0.690858124429323 |
35 | 0.615149794255518 | 0.769700411488964 | 0.384850205744482 |
36 | 0.669753866055279 | 0.660492267889443 | 0.330246133944721 |
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 | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |