Multiple Linear Regression - Estimated Regression Equation |
bouwvergunningen[t] = + 314.705816342766 + 5.96101603224808`inflatie `[t] -0.418563909059995M1[t] -15.3350853480929M2[t] + 49.3631559583583M3[t] + 23.3517418272819M4[t] + 35.9352203882489M5[t] + 71.9590887888935M6[t] + 23.3604882049137M7[t] + 23.0881467901967M8[t] + 43.9476151187114M9[t] + 51.4070834472261M10[t] -1.10570576335502M11[t] + 0.71011466548467t + 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) | 314.705816342766 | 18.309283 | 17.1883 | 0 | 0 |
`inflatie ` | 5.96101603224808 | 2.61961 | 2.2755 | 0.026943 | 0.013472 |
M1 | -0.418563909059995 | 20.151655 | -0.0208 | 0.983507 | 0.491753 |
M2 | -15.3350853480929 | 20.141369 | -0.7614 | 0.449809 | 0.224905 |
M3 | 49.3631559583583 | 20.133852 | 2.4517 | 0.017545 | 0.008773 |
M4 | 23.3517418272819 | 20.128185 | 1.1602 | 0.251187 | 0.125593 |
M5 | 35.9352203882489 | 20.125294 | 1.7856 | 0.07989 | 0.039945 |
M6 | 71.9590887888935 | 20.125194 | 3.5756 | 0.000756 | 0.000378 |
M7 | 23.3604882049137 | 20.12558 | 1.1607 | 0.250951 | 0.125475 |
M8 | 23.0881467901967 | 21.036781 | 1.0975 | 0.277378 | 0.138689 |
M9 | 43.9476151187114 | 21.030892 | 2.0897 | 0.041463 | 0.020731 |
M10 | 51.4070834472261 | 21.027652 | 2.4447 | 0.017854 | 0.008927 |
M11 | -1.10570576335502 | 21.021815 | -0.0526 | 0.95825 | 0.479125 |
t | 0.71011466548467 | 0.218233 | 3.2539 | 0.001984 | 0.000992 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.707630098284765 |
R-squared | 0.500740355998506 |
Adjusted R-squared | 0.378280443318894 |
F-TEST (value) | 4.08901447862843 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 53 |
p-value | 0.000122121050988078 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 33.2330516823352 |
Sum Squared Residuals | 58535.0933784005 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 300 | 328.469263332072 | -28.469263332072 |
2 | 302 | 316.110771528520 | -14.1107715285204 |
3 | 400 | 384.49963551658 | 15.5003644834197 |
4 | 392 | 357.350421080992 | 34.6495789190083 |
5 | 373 | 369.153760299381 | 3.84623970061865 |
6 | 379 | 408.03370913712 | -29.0337091371199 |
7 | 303 | 361.754697547332 | -58.7546975473317 |
8 | 324 | 362.013640317132 | -38.013640317132 |
9 | 353 | 383.881274112744 | -30.8812741127438 |
10 | 392 | 387.937756044492 | 4.06224395550801 |
11 | 327 | 336.73118310262 | -9.73118310262034 |
12 | 376 | 340.454528661779 | 35.5454713382206 |
13 | 329 | 339.196215249820 | -10.1962152498196 |
14 | 359 | 323.499554468209 | 35.5004455317907 |
15 | 413 | 384.794809377894 | 28.205190622106 |
16 | 338 | 361.102984241009 | -23.1029842410093 |
17 | 422 | 375.767611154878 | 46.232388845122 |
18 | 390 | 410.594069090688 | -20.5940690906878 |
19 | 370 | 361.096108843486 | 8.90389115651424 |
20 | 367 | 361.712712575221 | 5.28728742477916 |
21 | 406 | 380.838278995999 | 25.1617210040015 |
22 | 418 | 388.948251829675 | 29.0517481703246 |
23 | 346 | 338.814661773608 | 7.18533822639155 |
24 | 350 | 341.524634607285 | 8.47536539271465 |
25 | 330 | 341.935405684355 | -11.9354056843550 |
26 | 318 | 328.384710674354 | -10.384710674354 |
27 | 382 | 394.091117447902 | -12.0911174479023 |
28 | 337 | 368.551377341021 | -31.5513773410207 |
29 | 372 | 378.864462551348 | -6.86446255134831 |
30 | 422 | 415.6580557778 | 6.34194422220001 |
31 | 428 | 368.246451141885 | 59.7535488581153 |
32 | 426 | 367.193970384590 | 58.8060296154096 |
33 | 396 | 391.088349631166 | 4.91165036883351 |
34 | 458 | 403.609474328707 | 54.390525671293 |
35 | 315 | 355.979511006184 | -40.9795110061842 |
36 | 337 | 358.689483839861 | -21.6894838398611 |
37 | 386 | 361.186610528218 | 24.8133894717825 |
38 | 352 | 348.053186640474 | 3.94681335952606 |
39 | 383 | 417.932304636596 | -34.9323046365959 |
40 | 439 | 391.200361323265 | 47.7996386767354 |
41 | 397 | 410.812631543899 | -13.8126315438993 |
42 | 453 | 451.063614069055 | 1.93638593094517 |
43 | 363 | 403.830839914107 | -40.830839914107 |
44 | 365 | 401.168884828106 | -36.1688848281057 |
45 | 474 | 423.155738944362 | 50.8442610556375 |
46 | 373 | 426.914170074498 | -53.9141700744983 |
47 | 403 | 365.69309019845 | 37.3069098015502 |
48 | 384 | 364.468792450843 | 19.5312075491570 |
49 | 364 | 362.912428237271 | 1.08757176272920 |
50 | 361 | 346.381225211146 | 14.6187747888542 |
51 | 419 | 403.980650180837 | 15.0193498191633 |
52 | 352 | 378.5601303946 | -26.5601303946 |
53 | 363 | 386.071538069771 | -23.0715380697711 |
54 | 410 | 418.453979432359 | -8.45397943235916 |
55 | 361 | 367.10810421516 | -6.10810421516018 |
56 | 383 | 372.910791894951 | 10.0892081050489 |
57 | 342 | 392.036358315729 | -50.0363583157288 |
58 | 369 | 402.590347722627 | -33.5903477226274 |
59 | 361 | 354.781553919137 | 6.21844608086284 |
60 | 317 | 358.862560440231 | -41.8625604402311 |
61 | 386 | 361.300076968265 | 24.6999230317349 |
62 | 318 | 347.570551477297 | -29.5705514772967 |
63 | 407 | 418.701482840191 | -11.7014828401907 |
64 | 393 | 394.234725619114 | -1.23472561911373 |
65 | 404 | 410.329996380722 | -6.32999638072201 |
66 | 498 | 448.196572492978 | 49.8034275070217 |
67 | 438 | 400.963798338031 | 37.0362016619695 |