Multiple Linear Regression - Estimated Regression Equation |
veldgoal[t] = + 0.0370424918019334 + 0.0353032646205693hoogte[t] + 0.000554830562716251gewicht[t] + 0.0320573009846686vrijeworp[t] + 0.00333141873931926puntpergame[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) | 0.0370424918019334 | 0.123819 | 0.2992 | 0.766078 | 0.383039 |
hoogte | 0.0353032646205693 | 0.024641 | 1.4327 | 0.158291 | 0.079145 |
gewicht | 0.000554830562716251 | 0.000378 | 1.4683 | 0.148422 | 0.074211 |
vrijeworp | 0.0320573009846686 | 0.06682 | 0.4798 | 0.633534 | 0.316767 |
puntpergame | 0.00333141873931926 | 0.001092 | 3.0517 | 0.003668 | 0.001834 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.641767441548494 |
R-squared | 0.411865449031699 |
Adjusted R-squared | 0.363854465279185 |
F-TEST (value) | 8.57856717027028 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 49 |
p-value | 2.49538802317151e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.0451046940926362 |
Sum Squared Residuals | 0.0996872380303244 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0.442 | 0.454133126496396 | -0.0121331264963955 |
2 | 0.435 | 0.423849828335261 | 0.0111501716647387 |
3 | 0.456 | 0.445433214420242 | 0.0105667855797584 |
4 | 0.416 | 0.405311737837553 | 0.0106882621624469 |
5 | 0.449 | 0.500515768679102 | -0.0515157686791015 |
6 | 0.431 | 0.504105830210123 | -0.0731058302101226 |
7 | 0.487 | 0.417795086348875 | 0.069204913651125 |
8 | 0.469 | 0.484835549027733 | -0.0158355490277332 |
9 | 0.435 | 0.45290074020244 | -0.0179007402024399 |
10 | 0.48 | 0.458178790484003 | 0.0218212095159973 |
11 | 0.516 | 0.503790236431971 | 0.0122097635680294 |
12 | 0.493 | 0.471151792922542 | 0.0218482070774576 |
13 | 0.374 | 0.411809831200642 | -0.0378098312006424 |
14 | 0.424 | 0.408755070618069 | 0.0152449293819311 |
15 | 0.441 | 0.448264442409687 | -0.0072644424096873 |
16 | 0.503 | 0.51066330836887 | -0.00766330836886963 |
17 | 0.503 | 0.464817812517745 | 0.0381821874822548 |
18 | 0.425 | 0.459482580231416 | -0.0344825802314158 |
19 | 0.371 | 0.439438124565798 | -0.0684381245657979 |
20 | 0.504 | 0.478723815325781 | 0.0252761846742189 |
21 | 0.4 | 0.460112732353357 | -0.060112732353357 |
22 | 0.482 | 0.48566050859452 | -0.0036605085945198 |
23 | 0.475 | 0.432627079838991 | 0.0423729201610094 |
24 | 0.428 | 0.460810357230836 | -0.0328103572308356 |
25 | 0.559 | 0.52390324149197 | 0.0350967585080302 |
26 | 0.441 | 0.434644445250481 | 0.00635555474951868 |
27 | 0.492 | 0.434709510871001 | 0.0572904891289988 |
28 | 0.402 | 0.446292797851965 | -0.0442927978519648 |
29 | 0.415 | 0.400770687171158 | 0.0142293128288418 |
30 | 0.492 | 0.500972603022171 | -0.00897260302217103 |
31 | 0.484 | 0.432205974873918 | 0.0517940251260817 |
32 | 0.387 | 0.394722666303397 | -0.00772266630339737 |
33 | 0.436 | 0.412536148737299 | 0.023463851262701 |
34 | 0.482 | 0.48566050859452 | -0.0036605085945198 |
35 | 0.34 | 0.419557401878371 | -0.079557401878371 |
36 | 0.516 | 0.459721041708428 | 0.056278958291572 |
37 | 0.475 | 0.451925575031761 | 0.0230744249682389 |
38 | 0.412 | 0.393948792216747 | 0.0180512077832533 |
39 | 0.411 | 0.436648113664571 | -0.025648113664571 |
40 | 0.407 | 0.449128205441437 | -0.0421282054414366 |
41 | 0.445 | 0.475846628495865 | -0.0308466284958648 |
42 | 0.291 | 0.393638885078371 | -0.102638885078371 |
43 | 0.449 | 0.443966763569903 | 0.00503323643009668 |
44 | 0.546 | 0.457275296103066 | 0.0887247038969338 |
45 | 0.48 | 0.501364972489965 | -0.0213649724899648 |
46 | 0.359 | 0.356803245715258 | 0.00219675428474236 |
47 | 0.528 | 0.418230483673914 | 0.109769516326086 |
48 | 0.352 | 0.400032528364449 | -0.0480325283644493 |
49 | 0.414 | 0.457897711109623 | -0.0438977111096229 |
50 | 0.425 | 0.408935635472759 | 0.0160643645272413 |
51 | 0.599 | 0.511270101090474 | 0.0877298989095256 |
52 | 0.482 | 0.463058193199317 | 0.0189418068006829 |
53 | 0.457 | 0.439245549816597 | 0.0177544501834031 |
54 | 0.435 | 0.463918927059293 | -0.0289189270592928 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.152194142527511 | 0.304388285055022 | 0.847805857472489 |
9 | 0.206735311850675 | 0.41347062370135 | 0.793264688149325 |
10 | 0.147432159091931 | 0.294864318183862 | 0.852567840908069 |
11 | 0.214063778845355 | 0.42812755769071 | 0.785936221154645 |
12 | 0.161305711747946 | 0.322611423495891 | 0.838694288252054 |
13 | 0.257468713921335 | 0.51493742784267 | 0.742531286078665 |
14 | 0.175549425128384 | 0.351098850256768 | 0.824450574871616 |
15 | 0.115059601712642 | 0.230119203425283 | 0.884940398287358 |
16 | 0.0896599089807156 | 0.179319817961431 | 0.910340091019284 |
17 | 0.09504339229475 | 0.1900867845895 | 0.90495660770525 |
18 | 0.0754676856258133 | 0.150935371251627 | 0.924532314374187 |
19 | 0.169896828075669 | 0.339793656151339 | 0.83010317192433 |
20 | 0.146101829114998 | 0.292203658229995 | 0.853898170885002 |
21 | 0.182184923290815 | 0.36436984658163 | 0.817815076709185 |
22 | 0.131102191150465 | 0.262204382300931 | 0.868897808849534 |
23 | 0.153187604481368 | 0.306375208962736 | 0.846812395518632 |
24 | 0.12747446474757 | 0.25494892949514 | 0.87252553525243 |
25 | 0.120828371078518 | 0.241656742157035 | 0.879171628921482 |
26 | 0.0826733520943712 | 0.165346704188742 | 0.917326647905629 |
27 | 0.114060761269329 | 0.228121522538657 | 0.885939238730671 |
28 | 0.116187241454507 | 0.232374482909014 | 0.883812758545493 |
29 | 0.0878328248518264 | 0.175665649703653 | 0.912167175148174 |
30 | 0.0622968120943495 | 0.124593624188699 | 0.93770318790565 |
31 | 0.0612224555389061 | 0.122444911077812 | 0.938777544461094 |
32 | 0.0426635227384292 | 0.0853270454768585 | 0.95733647726157 |
33 | 0.0295939428078734 | 0.0591878856157468 | 0.970406057192127 |
34 | 0.017692748625012 | 0.0353854972500241 | 0.982307251374988 |
35 | 0.0638974141276148 | 0.12779482825523 | 0.936102585872385 |
36 | 0.0764684165379542 | 0.152936833075908 | 0.923531583462046 |
37 | 0.0538177592735792 | 0.107635518547158 | 0.94618224072642 |
38 | 0.0341776332313869 | 0.0683552664627738 | 0.965822366768613 |
39 | 0.0245450052013278 | 0.0490900104026555 | 0.975454994798672 |
40 | 0.0190648251506896 | 0.0381296503013791 | 0.98093517484931 |
41 | 0.0137295325532532 | 0.0274590651065064 | 0.986270467446747 |
42 | 0.0492770415041807 | 0.0985540830083615 | 0.95072295849582 |
43 | 0.0298717742211914 | 0.0597435484423828 | 0.970128225778809 |
44 | 0.0849744548810588 | 0.169948909762118 | 0.915025545118941 |
45 | 0.216375038524102 | 0.432750077048204 | 0.783624961475898 |
46 | 0.611089710093553 | 0.777820579812893 | 0.388910289906447 |
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 | 4 | 0.102564102564103 | NOK |
10% type I error level | 9 | 0.230769230769231 | NOK |