Multiple Linear Regression - Estimated Regression Equation |
Werkloosheid[t] = + 11.8776091849868 + 0.0243650510801236consumerconfidence[t] + 0.0195104753475394HICP[t] -0.884739521144813OLO12[t] -4.62917896606383e-05Bel20[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) | 11.8776091849868 | 0.699979 | 16.9685 | 0 | 0 |
consumerconfidence | 0.0243650510801236 | 0.009285 | 2.6241 | 0.011223 | 0.005611 |
HICP | 0.0195104753475394 | 0.047095 | 0.4143 | 0.680282 | 0.340141 |
OLO12 | -0.884739521144813 | 0.185007 | -4.7822 | 1.3e-05 | 7e-06 |
Bel20 | -4.62917896606383e-05 | 7.3e-05 | -0.6299 | 0.531395 | 0.265698 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.79173314676329 |
R-squared | 0.626841375683701 |
Adjusted R-squared | 0.599702566642515 |
F-TEST (value) | 23.0976007359946 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 55 |
p-value | 3.07646130792705e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.418788040236288 |
Sum Squared Residuals | 9.64608824547228 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 8.3 | 8.10186360046422 | 0.198136399535780 |
2 | 8.7 | 8.62319130437793 | 0.0768086956220653 |
3 | 8.9 | 8.8470702879809 | 0.0529297120191077 |
4 | 8.9 | 9.13867462944095 | -0.238674629440953 |
5 | 8.1 | 8.40083462383876 | -0.30083462383876 |
6 | 8 | 8.26068764037629 | -0.260687640376292 |
7 | 8.3 | 8.75238913775627 | -0.452389137756271 |
8 | 8.5 | 8.33827150315664 | 0.16172849684336 |
9 | 8.7 | 8.2769021990741 | 0.423097800925895 |
10 | 8.6 | 8.14371542299115 | 0.456284577008847 |
11 | 8.3 | 8.06055112368221 | 0.239448876317786 |
12 | 7.9 | 8.18498682269284 | -0.284986822692834 |
13 | 7.9 | 8.09205238937331 | -0.192052389373308 |
14 | 8.1 | 8.13989010554186 | -0.03989010554186 |
15 | 8.3 | 8.24782474851637 | 0.0521752514836273 |
16 | 8.1 | 7.9440601521958 | 0.155939847804205 |
17 | 7.4 | 7.92641364913521 | -0.526413649135208 |
18 | 7.3 | 7.66222178983115 | -0.362221789831151 |
19 | 7.7 | 7.46496375971349 | 0.235036240286511 |
20 | 8 | 7.46941674179716 | 0.530583258202842 |
21 | 8 | 7.40196010318972 | 0.598039896810279 |
22 | 7.7 | 7.38842852015415 | 0.311571479845853 |
23 | 6.9 | 7.235904821314 | -0.335904821313998 |
24 | 6.6 | 7.7364114212293 | -1.13641142122930 |
25 | 6.9 | 7.65297091377792 | -0.752970913777916 |
26 | 7.5 | 7.20003087367767 | 0.29996912632233 |
27 | 7.9 | 7.07465011062473 | 0.825349889375275 |
28 | 7.7 | 6.89450719929075 | 0.80549280070925 |
29 | 6.5 | 6.81110129921645 | -0.311101299216446 |
30 | 6.1 | 6.71089221614751 | -0.610892216147513 |
31 | 6.4 | 6.98535950225213 | -0.585359502252127 |
32 | 6.8 | 7.28961999097614 | -0.489619990976144 |
33 | 7.1 | 7.28505700345561 | -0.185057003455610 |
34 | 7.3 | 7.2772495999853 | 0.0227504000146948 |
35 | 7.2 | 7.33211753541315 | -0.132117535413152 |
36 | 7 | 7.04099916606083 | -0.0409991660608297 |
37 | 7 | 7.36419847302746 | -0.364198473027458 |
38 | 7 | 7.4191215166813 | -0.419121516681301 |
39 | 7.3 | 7.32224811376027 | -0.0222481137602740 |
40 | 7.5 | 7.59540679050298 | -0.095406790502983 |
41 | 7.2 | 7.69233328217517 | -0.492333282175171 |
42 | 7.7 | 7.54060689050802 | 0.159393109491985 |
43 | 8 | 7.76323792339733 | 0.236762076602668 |
44 | 7.9 | 7.76278138304212 | 0.137218616957876 |
45 | 8 | 7.9353024167379 | 0.0646975832620961 |
46 | 8 | 8.02672117267862 | -0.0267211726786213 |
47 | 7.9 | 7.7538603026076 | 0.146139697392404 |
48 | 7.9 | 8.13466686230969 | -0.234666862309691 |
49 | 8 | 8.35950330692978 | -0.359503306929781 |
50 | 8.1 | 8.1896219778874 | -0.0896219778874 |
51 | 8.1 | 8.17138249996817 | -0.0713824999681714 |
52 | 8.2 | 8.16103771844725 | 0.0389622815527479 |
53 | 8 | 7.95442219678094 | 0.0455778032190583 |
54 | 8.3 | 7.7282609762002 | 0.571739023799794 |
55 | 8.5 | 7.79076578328884 | 0.709234216711163 |
56 | 8.6 | 7.79076973768339 | 0.809230262316611 |
57 | 8.7 | 8.08391727473099 | 0.616082725269009 |
58 | 8.7 | 8.40700635783305 | 0.292993642166954 |
59 | 8.5 | 8.34191320335341 | 0.158086796646587 |
60 | 8.4 | 8.41767193076613 | -0.0176719307661329 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.271464321764375 | 0.542928643528749 | 0.728535678235625 |
9 | 0.179587036901180 | 0.359174073802359 | 0.82041296309882 |
10 | 0.106270464634777 | 0.212540929269554 | 0.893729535365223 |
11 | 0.106073965775046 | 0.212147931550093 | 0.893926034224954 |
12 | 0.148948293639208 | 0.297896587278415 | 0.851051706360793 |
13 | 0.148891031405389 | 0.297782062810778 | 0.851108968594611 |
14 | 0.0901328420104728 | 0.180265684020946 | 0.909867157989527 |
15 | 0.0641904182644663 | 0.128380836528933 | 0.935809581735534 |
16 | 0.0375905513149079 | 0.0751811026298157 | 0.962409448685092 |
17 | 0.0523160934543916 | 0.104632186908783 | 0.947683906545608 |
18 | 0.0370984220733624 | 0.0741968441467249 | 0.962901577926638 |
19 | 0.0450472256944068 | 0.0900944513888135 | 0.954952774305593 |
20 | 0.0554837557580317 | 0.110967511516063 | 0.944516244241968 |
21 | 0.0562044681698795 | 0.112408936339759 | 0.94379553183012 |
22 | 0.0507304058757534 | 0.101460811751507 | 0.949269594124247 |
23 | 0.129873698612080 | 0.259747397224159 | 0.87012630138792 |
24 | 0.507525210107786 | 0.984949579784429 | 0.492474789892214 |
25 | 0.752292945347383 | 0.495414109305233 | 0.247707054652617 |
26 | 0.704276034321564 | 0.591447931356871 | 0.295723965678436 |
27 | 0.756158264134937 | 0.487683471730126 | 0.243841735865063 |
28 | 0.857324624522904 | 0.285350750954191 | 0.142675375477096 |
29 | 0.907744265792936 | 0.184511468414129 | 0.0922557342070644 |
30 | 0.937156117352769 | 0.125687765294462 | 0.0628438826472312 |
31 | 0.945265163594642 | 0.109469672810716 | 0.0547348364053579 |
32 | 0.969582582505454 | 0.0608348349890913 | 0.0304174174945456 |
33 | 0.976192296741169 | 0.0476154065176627 | 0.0238077032588313 |
34 | 0.973290551733481 | 0.053418896533037 | 0.0267094482665185 |
35 | 0.973261408621208 | 0.0534771827575831 | 0.0267385913787916 |
36 | 0.977466740947142 | 0.0450665181057154 | 0.0225332590528577 |
37 | 0.998403121558186 | 0.00319375688362808 | 0.00159687844181404 |
38 | 0.999519016231511 | 0.000961967536977673 | 0.000480983768488836 |
39 | 0.99902491205188 | 0.00195017589624125 | 0.000975087948120626 |
40 | 0.997859620708322 | 0.00428075858335674 | 0.00214037929167837 |
41 | 0.998763662743205 | 0.00247267451359048 | 0.00123633725679524 |
42 | 0.99765647994173 | 0.00468704011654146 | 0.00234352005827073 |
43 | 0.996243802923622 | 0.00751239415275627 | 0.00375619707637813 |
44 | 0.992245310643073 | 0.0155093787138535 | 0.00775468935692676 |
45 | 0.984184136873695 | 0.0316317262526108 | 0.0158158631263054 |
46 | 0.968940787777266 | 0.0621184244454682 | 0.0310592122227341 |
47 | 0.97861459658885 | 0.0427708068222993 | 0.0213854034111497 |
48 | 0.968572413951043 | 0.0628551720979134 | 0.0314275860489567 |
49 | 0.933511466882325 | 0.132977066235350 | 0.0664885331176752 |
50 | 0.880788055066782 | 0.238423889866435 | 0.119211944933217 |
51 | 0.997349117357282 | 0.00530176528543589 | 0.00265088264271795 |
52 | 0.99579370883605 | 0.00841258232789978 | 0.00420629116394989 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 9 | 0.2 | NOK |
5% type I error level | 14 | 0.311111111111111 | NOK |
10% type I error level | 22 | 0.488888888888889 | NOK |