Multiple Linear Regression - Estimated Regression Equation |
vrijetijdsbesteding[t] = + 65.5701318446327 + 0.0934667042792763bios[t] + 0.112234682723702schouwburg[t] + 0.249400535389239eedagsacttractie[t] -0.0908956030942088huurDVD[t] + 0.0138828910919104M1[t] + 0.21346897571974M2[t] + 0.0879754877109333M3[t] -0.430673994391876M4[t] -0.555903351928635M5[t] -0.405997260390775M6[t] -0.421124427936515M7[t] -0.287961409775444M8[t] + 0.155647169325642M9[t] + 0.140501903035055M10[t] + 0.00744480645675077M11[t] + 0.173955632165732t + 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) | 65.5701318446327 | 7.813237 | 8.3922 | 0 | 0 |
bios | 0.0934667042792763 | 0.020909 | 4.4701 | 6.1e-05 | 3e-05 |
schouwburg | 0.112234682723702 | 0.035874 | 3.1285 | 0.00323 | 0.001615 |
eedagsacttractie | 0.249400535389239 | 0.053145 | 4.6928 | 3e-05 | 1.5e-05 |
huurDVD | -0.0908956030942088 | 0.090236 | -1.0073 | 0.319695 | 0.159848 |
M1 | 0.0138828910919104 | 0.203923 | 0.0681 | 0.946054 | 0.473027 |
M2 | 0.21346897571974 | 0.206838 | 1.0321 | 0.308095 | 0.154047 |
M3 | 0.0879754877109333 | 0.210591 | 0.4178 | 0.678305 | 0.339153 |
M4 | -0.430673994391876 | 0.270129 | -1.5943 | 0.118544 | 0.059272 |
M5 | -0.555903351928635 | 0.269783 | -2.0606 | 0.045728 | 0.022864 |
M6 | -0.405997260390775 | 0.269908 | -1.5042 | 0.140194 | 0.070097 |
M7 | -0.421124427936515 | 0.271415 | -1.5516 | 0.128447 | 0.064223 |
M8 | -0.287961409775444 | 0.272373 | -1.0572 | 0.296595 | 0.148298 |
M9 | 0.155647169325642 | 0.205308 | 0.7581 | 0.452718 | 0.226359 |
M10 | 0.140501903035055 | 0.199681 | 0.7036 | 0.485639 | 0.242819 |
M11 | 0.00744480645675077 | 0.208953 | 0.0356 | 0.971751 | 0.485876 |
t | 0.173955632165732 | 0.015756 | 11.0406 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.99899740753351 |
R-squared | 0.997995820258674 |
Adjusted R-squared | 0.99721370133523 |
F-TEST (value) | 1276.01543747808 |
F-TEST (DF numerator) | 16 |
F-TEST (DF denominator) | 41 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.294272762981154 |
Sum Squared Residuals | 3.55045482033506 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 101.76 | 101.597467200706 | 0.162532799293738 |
2 | 102.37 | 101.952469842715 | 0.417530157285066 |
3 | 102.38 | 102.004567810996 | 0.375432189004368 |
4 | 102.86 | 102.356253617858 | 0.503746382142368 |
5 | 102.87 | 102.383164947744 | 0.486835052256009 |
6 | 102.92 | 102.707026671448 | 0.212973328552414 |
7 | 102.95 | 102.864037224006 | 0.0859627759943083 |
8 | 103.02 | 103.186608126859 | -0.166608126858517 |
9 | 104.08 | 104.395435725283 | -0.315435725282948 |
10 | 104.16 | 104.538973815715 | -0.378973815715032 |
11 | 104.24 | 104.5680559229 | -0.328055922900215 |
12 | 104.33 | 104.734506255969 | -0.404506255969322 |
13 | 104.73 | 104.923467126054 | -0.193467126054197 |
14 | 104.86 | 105.293373018724 | -0.433373018723994 |
15 | 105.03 | 105.327411350829 | -0.29741135082893 |
16 | 105.62 | 105.631158892904 | -0.0111588929038721 |
17 | 105.63 | 105.668977695162 | -0.0389776951615503 |
18 | 105.63 | 105.992839418865 | -0.362839418865142 |
19 | 105.94 | 106.26382792862 | -0.323827928620263 |
20 | 106.61 | 106.565492842761 | 0.0445071572385886 |
21 | 107.69 | 107.864590361803 | -0.174590361803161 |
22 | 107.78 | 108.056114074176 | -0.276114074176048 |
23 | 107.93 | 108.171547004301 | -0.241547004300722 |
24 | 108.48 | 108.383856515107 | 0.0961434848934477 |
25 | 108.14 | 108.082351821689 | 0.0576481783111435 |
26 | 108.48 | 108.454984582451 | 0.0250154175485287 |
27 | 108.48 | 108.483449693928 | -0.00344969392767098 |
28 | 108.89 | 108.94754718243 | -0.057547182430068 |
29 | 108.93 | 108.986926786631 | -0.0569267866311065 |
30 | 109.21 | 109.291700433685 | -0.0817004336849282 |
31 | 109.47 | 109.418715437222 | 0.0512845627780594 |
32 | 109.8 | 109.727617217983 | 0.0723827820173901 |
33 | 111.73 | 111.394837510485 | 0.335162489515496 |
34 | 111.85 | 111.595467423562 | 0.254532576437494 |
35 | 112.12 | 111.725159328215 | 0.394840671784764 |
36 | 112.15 | 111.907328094545 | 0.242671905454962 |
37 | 112.17 | 112.0833501894 | 0.086649810599563 |
38 | 112.67 | 112.496070788956 | 0.173929211044258 |
39 | 112.8 | 112.530898592649 | 0.26910140735146 |
40 | 113.44 | 113.749946099602 | -0.309946099601988 |
41 | 113.53 | 113.795036550107 | -0.265036550107189 |
42 | 114.53 | 114.160958290736 | 0.369041709263545 |
43 | 114.51 | 114.28433747015 | 0.225662529850298 |
44 | 115.05 | 114.944991661759 | 0.105008338241167 |
45 | 116.67 | 116.367933818383 | 0.30206618161678 |
46 | 117.07 | 116.702521296935 | 0.367478703065479 |
47 | 116.92 | 116.745237744584 | 0.174762255416174 |
48 | 117 | 116.934309134379 | 0.0656908656209122 |
49 | 117.02 | 117.13336366215 | -0.113363662150248 |
50 | 117.35 | 117.533101767154 | -0.183101767153859 |
51 | 117.36 | 117.703672551599 | -0.343672551599227 |
52 | 117.82 | 117.945094207206 | -0.125094207206439 |
53 | 117.88 | 118.005894020356 | -0.125894020356163 |
54 | 118.24 | 118.377475185266 | -0.137475185265889 |
55 | 118.5 | 118.539081940002 | -0.0390819400024026 |
56 | 118.8 | 118.855290150639 | -0.0552901506386285 |
57 | 119.76 | 119.907202584046 | -0.147202584046167 |
58 | 120.09 | 120.056923389612 | 0.033076610388107 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
20 | 0.778370160732379 | 0.443259678535243 | 0.221629839267621 |
21 | 0.65524922208413 | 0.689501555831741 | 0.34475077791587 |
22 | 0.659685025455613 | 0.680629949088775 | 0.340314974544387 |
23 | 0.723536694677497 | 0.552926610645006 | 0.276463305322503 |
24 | 0.730703536989123 | 0.538592926021754 | 0.269296463010877 |
25 | 0.68517664234341 | 0.62964671531318 | 0.31482335765659 |
26 | 0.596420443290629 | 0.807159113418742 | 0.403579556709371 |
27 | 0.492539212568866 | 0.985078425137732 | 0.507460787431134 |
28 | 0.784362095430275 | 0.431275809139449 | 0.215637904569725 |
29 | 0.810358517774808 | 0.379282964450384 | 0.189641482225192 |
30 | 0.7552229583016 | 0.489554083396801 | 0.2447770416984 |
31 | 0.845962144469959 | 0.308075711060083 | 0.154037855530041 |
32 | 0.79022784446969 | 0.419544311060618 | 0.209772155530309 |
33 | 0.785701148536538 | 0.428597702926923 | 0.214298851463462 |
34 | 0.852491217869416 | 0.295017564261168 | 0.147508782130584 |
35 | 0.761412253942013 | 0.477175492115974 | 0.238587746057987 |
36 | 0.653177116653854 | 0.693645766692291 | 0.346822883346146 |
37 | 0.570194336759361 | 0.859611326481278 | 0.429805663240639 |
38 | 0.442244381770368 | 0.884488763540736 | 0.557755618229632 |
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 |