Multiple Linear Regression - Estimated Regression Equation |
aantalrokers[t] = + 1553.8 -200.75rookverbod[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) | 1553.8 | 258.97417 | 5.9998 | 0 | 0 |
rookverbod | -200.75 | 409.474116 | -0.4903 | 0.626181 | 0.313091 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.07058685622796 |
R-squared | 0.0049825042721467 |
Adjusted R-squared | -0.0157470268888502 |
F-TEST (value) | 0.240357788772444 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 48 |
p-value | 0.626181435302837 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1418.45994648833 |
Sum Squared Residuals | 96577373.75 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 5125 | 1553.8 | 3571.2 |
2 | 5366 | 1553.8 | 3812.2 |
3 | 5078 | 1553.8 | 3524.2 |
4 | 2775 | 1553.8 | 1221.2 |
5 | 2952 | 1553.8 | 1398.2 |
6 | 2784 | 1553.8 | 1230.2 |
7 | 2350 | 1553.8 | 796.2 |
8 | 2413 | 1553.8 | 859.2 |
9 | 2203 | 1553.8 | 649.2 |
10 | 705 | 1553.8 | -848.8 |
11 | 765 | 1553.8 | -788.8 |
12 | 800 | 1553.8 | -753.8 |
13 | 1161 | 1553.8 | -392.8 |
14 | 1223 | 1553.8 | -330.8 |
15 | 1188 | 1553.8 | -365.8 |
16 | 1178 | 1553.8 | -375.8 |
17 | 1225 | 1553.8 | -328.8 |
18 | 1100 | 1553.8 | -453.8 |
19 | 1087 | 1553.8 | -466.8 |
20 | 1104 | 1553.8 | -449.8 |
21 | 1046 | 1553.8 | -507.8 |
22 | 571 | 1553.8 | -982.8 |
23 | 591 | 1553.8 | -962.8 |
24 | 536 | 1553.8 | -1017.8 |
25 | 347 | 1553.8 | -1206.8 |
26 | 390 | 1553.8 | -1163.8 |
27 | 339 | 1553.8 | -1214.8 |
28 | 76 | 1553.8 | -1477.8 |
29 | 68 | 1553.8 | -1485.8 |
30 | 68 | 1553.8 | -1485.8 |
31 | 4044 | 1353.05 | 2690.95 |
32 | 4976 | 1353.05 | 3622.95 |
33 | 2208 | 1353.05 | 854.95 |
34 | 2721 | 1353.05 | 1367.95 |
35 | 1837 | 1353.05 | 483.95 |
36 | 2255 | 1353.05 | 901.95 |
37 | 549 | 1353.05 | -804.05 |
38 | 669 | 1353.05 | -684.05 |
39 | 959 | 1353.05 | -394.05 |
40 | 1158 | 1353.05 | -195.05 |
41 | 894 | 1353.05 | -459.05 |
42 | 1074 | 1353.05 | -279.05 |
43 | 841 | 1353.05 | -512.05 |
44 | 1107 | 1353.05 | -246.05 |
45 | 459 | 1353.05 | -894.05 |
46 | 564 | 1353.05 | -789.05 |
47 | 284 | 1353.05 | -1069.05 |
48 | 332 | 1353.05 | -1021.05 |
49 | 59 | 1353.05 | -1294.05 |
50 | 71 | 1353.05 | -1282.05 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
5 | 0.877320315790275 | 0.245359368419449 | 0.122679684209725 |
6 | 0.89554683866338 | 0.208906322673241 | 0.104453161336621 |
7 | 0.922747651770977 | 0.154504696458046 | 0.0772523482290232 |
8 | 0.931769690988957 | 0.136460618022086 | 0.068230309011043 |
9 | 0.941392925624435 | 0.117214148751131 | 0.0586070743755653 |
10 | 0.982721290848013 | 0.0345574183039744 | 0.0172787091519872 |
11 | 0.990738674845707 | 0.0185226503085866 | 0.00926132515429331 |
12 | 0.992906684178304 | 0.0141866316433917 | 0.00709331582169584 |
13 | 0.991873320409022 | 0.0162533591819556 | 0.0081266795909778 |
14 | 0.989832280198804 | 0.0203354396023917 | 0.0101677198011959 |
15 | 0.986948992327807 | 0.0261020153443865 | 0.0130510076721932 |
16 | 0.982920728084168 | 0.034158543831665 | 0.0170792719158325 |
17 | 0.977322676189885 | 0.0453546476202297 | 0.0226773238101148 |
18 | 0.970361362042965 | 0.0592772759140707 | 0.0296386379570354 |
19 | 0.961346185729476 | 0.077307628541048 | 0.038653814270524 |
20 | 0.94993306921529 | 0.100133861569419 | 0.0500669307847094 |
21 | 0.93615637358352 | 0.127687252832959 | 0.0638436264164796 |
22 | 0.92332639350885 | 0.153347212982299 | 0.0766736064911495 |
23 | 0.906202090175042 | 0.187595819649916 | 0.0937979098249582 |
24 | 0.885427781219513 | 0.229144437560975 | 0.114572218780487 |
25 | 0.863325617720177 | 0.273348764559647 | 0.136674382279823 |
26 | 0.834538414377899 | 0.330923171244202 | 0.165461585622101 |
27 | 0.800849994252309 | 0.398300011495383 | 0.199150005747691 |
28 | 0.768356937362197 | 0.463286125275606 | 0.231643062637803 |
29 | 0.729006266398792 | 0.541987467202417 | 0.270993733601208 |
30 | 0.682351414549811 | 0.635297170900378 | 0.317648585450189 |
31 | 0.800101651046832 | 0.399796697906336 | 0.199898348953168 |
32 | 0.993067240961594 | 0.0138655180768123 | 0.00693275903840616 |
33 | 0.995488720702186 | 0.00902255859562794 | 0.00451127929781397 |
34 | 0.999332726839638 | 0.00133454632072423 | 0.000667273160362117 |
35 | 0.999585243429385 | 0.000829513141229708 | 0.000414756570614854 |
36 | 0.999987751542486 | 2.44969150274369e-05 | 1.22484575137184e-05 |
37 | 0.99996768590502 | 6.4628189960567e-05 | 3.23140949802835e-05 |
38 | 0.999899989191085 | 0.000200021617830321 | 0.00010001080891516 |
39 | 0.99973957443964 | 0.000520851120718939 | 0.000260425560359469 |
40 | 0.999582637682836 | 0.000834724634327946 | 0.000417362317163973 |
41 | 0.998895594467087 | 0.00220881106582579 | 0.00110440553291289 |
42 | 0.998313393016038 | 0.00337321396792299 | 0.00168660698396149 |
43 | 0.995900064917139 | 0.00819987016572298 | 0.00409993508286149 |
44 | 0.998737057644007 | 0.00252588471198508 | 0.00126294235599254 |
45 | 0.993507619755806 | 0.012984760488387 | 0.00649238024419349 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 12 | 0.292682926829268 | NOK |
5% type I error level | 22 | 0.536585365853659 | NOK |
10% type I error level | 24 | 0.585365853658537 | NOK |