Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis4weken[t] = + 0.0404474960387958 + 0.213885821289672Treatment4weken[t] -0.000403322610073464treatment2weken[t] + 0.156383540596341CorrectAnalysis2weken[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) | 0.0404474960387958 | 0.059935 | 0.6749 | 0.501663 | 0.250831 |
Treatment4weken | 0.213885821289672 | 0.072215 | 2.9618 | 0.004 | 0.002 |
treatment2weken | -0.000403322610073464 | 0.068254 | -0.0059 | 0.9953 | 0.49765 |
CorrectAnalysis2weken | 0.156383540596341 | 0.151817 | 1.0301 | 0.306002 | 0.153001 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.326581656365066 |
R-squared | 0.10665557827415 |
Adjusted R-squared | 0.073972245771985 |
F-TEST (value) | 3.26330181498733 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 82 |
p-value | 0.0255129820570561 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.296292003361238 |
Sum Squared Residuals | 7.19869400297691 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.253929994718394 | -0.253929994718394 |
2 | 0 | 0.0404474960387957 | -0.0404474960387957 |
3 | 0 | 0.0400441734287223 | -0.0400441734287223 |
4 | 0 | 0.0400441734287224 | -0.0400441734287224 |
5 | 0 | 0.0400441734287223 | -0.0400441734287223 |
6 | 0 | 0.0404474960387958 | -0.0404474960387958 |
7 | 0 | 0.0400441734287223 | -0.0400441734287223 |
8 | 0 | 0.253929994718394 | -0.253929994718394 |
9 | 0 | 0.0404474960387958 | -0.0404474960387958 |
10 | 0 | 0.0400441734287223 | -0.0400441734287223 |
11 | 0 | 0.254333317328468 | -0.254333317328468 |
12 | 0 | 0.0400441734287223 | -0.0400441734287223 |
13 | 0 | 0.0400441734287223 | -0.0400441734287223 |
14 | 0 | 0.253929994718394 | -0.253929994718394 |
15 | 0 | 0.0400441734287223 | -0.0400441734287223 |
16 | 0 | 0.253929994718394 | -0.253929994718394 |
17 | 1 | 0.253929994718394 | 0.746070005281606 |
18 | 0 | 0.253929994718394 | -0.253929994718394 |
19 | 0 | 0.0404474960387958 | -0.0404474960387958 |
20 | 1 | 0.253929994718394 | 0.746070005281606 |
21 | 0 | 0.0400441734287223 | -0.0400441734287223 |
22 | 0 | 0.0404474960387958 | -0.0404474960387958 |
23 | 0 | 0.0400441734287223 | -0.0400441734287223 |
24 | 0 | 0.0400441734287223 | -0.0400441734287223 |
25 | 0 | 0.254333317328468 | -0.254333317328468 |
26 | 0 | 0.0404474960387958 | -0.0404474960387958 |
27 | 0 | 0.0400441734287223 | -0.0400441734287223 |
28 | 0 | 0.0404474960387958 | -0.0404474960387958 |
29 | 0 | 0.0400441734287223 | -0.0400441734287223 |
30 | 0 | 0.0400441734287223 | -0.0400441734287223 |
31 | 0 | 0.0400441734287223 | -0.0400441734287223 |
32 | 0 | 0.0400441734287223 | -0.0400441734287223 |
33 | 0 | 0.0400441734287223 | -0.0400441734287223 |
34 | 0 | 0.253929994718394 | -0.253929994718394 |
35 | 0 | 0.0400441734287223 | -0.0400441734287223 |
36 | 0 | 0.0400441734287223 | -0.0400441734287223 |
37 | 0 | 0.254333317328468 | -0.254333317328468 |
38 | 0 | 0.0400441734287223 | -0.0400441734287223 |
39 | 0 | 0.0400441734287223 | -0.0400441734287223 |
40 | 0 | 0.254333317328468 | -0.254333317328468 |
41 | 1 | 0.0400441734287222 | 0.959955826571278 |
42 | 0 | 0.0400441734287223 | -0.0400441734287223 |
43 | 0 | 0.0400441734287223 | -0.0400441734287223 |
44 | 0 | 0.253929994718394 | -0.253929994718394 |
45 | 0 | 0.0400441734287223 | -0.0400441734287223 |
46 | 0 | 0.0400441734287223 | -0.0400441734287223 |
47 | 0 | 0.0400441734287223 | -0.0400441734287223 |
48 | 0 | 0.0400441734287223 | -0.0400441734287223 |
49 | 0 | 0.0400441734287223 | -0.0400441734287223 |
50 | 0 | 0.0400441734287223 | -0.0400441734287223 |
51 | 0 | 0.253929994718394 | -0.253929994718394 |
52 | 1 | 0.254333317328468 | 0.745666682671532 |
53 | 0 | 0.0404474960387958 | -0.0404474960387958 |
54 | 1 | 0.0400441734287222 | 0.959955826571278 |
55 | 0 | 0.196427714025064 | -0.196427714025064 |
56 | 0 | 0.254333317328468 | -0.254333317328468 |
57 | 0 | 0.0400441734287223 | -0.0400441734287223 |
58 | 0 | 0.0400441734287223 | -0.0400441734287223 |
59 | 0 | 0.0400441734287223 | -0.0400441734287223 |
60 | 1 | 0.254333317328468 | 0.745666682671532 |
61 | 0 | 0.254333317328468 | -0.254333317328468 |
62 | 0 | 0.0404474960387958 | -0.0404474960387958 |
63 | 0 | 0.0400441734287223 | -0.0400441734287223 |
64 | 0 | 0.253929994718394 | -0.253929994718394 |
65 | 0 | 0.0400441734287223 | -0.0400441734287223 |
66 | 0 | 0.196427714025064 | -0.196427714025064 |
67 | 1 | 0.410313535314736 | 0.589686464685264 |
68 | 0 | 0.0400441734287223 | -0.0400441734287223 |
69 | 0 | 0.0404474960387958 | -0.0404474960387958 |
70 | 0 | 0.0404474960387958 | -0.0404474960387958 |
71 | 0 | 0.0404474960387958 | -0.0404474960387958 |
72 | 1 | 0.0404474960387958 | 0.959552503961204 |
73 | 0 | 0.0404474960387958 | -0.0404474960387958 |
74 | 1 | 0.253929994718394 | 0.746070005281606 |
75 | 0 | 0.0404474960387958 | -0.0404474960387958 |
76 | 0 | 0.196831036635137 | -0.196831036635137 |
77 | 0 | 0.0404474960387958 | -0.0404474960387958 |
78 | 0 | 0.253929994718394 | -0.253929994718394 |
79 | 0 | 0.0404474960387958 | -0.0404474960387958 |
80 | 0 | 0.0400441734287223 | -0.0400441734287223 |
81 | 0 | 0.0400441734287223 | -0.0400441734287223 |
82 | 0 | 0.0400441734287223 | -0.0400441734287223 |
83 | 0 | 0.0404474960387958 | -0.0404474960387958 |
84 | 0 | 0.0400441734287223 | -0.0400441734287223 |
85 | 0 | 0.253929994718394 | -0.253929994718394 |
86 | 0 | 0.0404474960387958 | -0.0404474960387958 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0 | 0 | 1 |
8 | 0 | 0 | 1 |
9 | 0 | 0 | 1 |
10 | 0 | 0 | 1 |
11 | 0 | 0 | 1 |
12 | 0 | 0 | 1 |
13 | 0 | 0 | 1 |
14 | 0 | 0 | 1 |
15 | 0 | 0 | 1 |
16 | 0 | 0 | 1 |
17 | 0.20281189382578 | 0.405623787651559 | 0.79718810617422 |
18 | 0.167914291319934 | 0.335828582639867 | 0.832085708680066 |
19 | 0.118768490625095 | 0.23753698125019 | 0.881231509374905 |
20 | 0.544145038942461 | 0.911709922115078 | 0.455854961057539 |
21 | 0.465156636928788 | 0.930313273857576 | 0.534843363071212 |
22 | 0.389938374646544 | 0.779876749293087 | 0.610061625353457 |
23 | 0.318463079884999 | 0.636926159769999 | 0.681536920115001 |
24 | 0.253974591269994 | 0.507949182539987 | 0.746025408730006 |
25 | 0.222888374214317 | 0.445776748428634 | 0.777111625785683 |
26 | 0.173393612026851 | 0.346787224053703 | 0.826606387973148 |
27 | 0.130688904407448 | 0.261377808814896 | 0.869311095592552 |
28 | 0.0970607979571877 | 0.194121595914375 | 0.902939202042812 |
29 | 0.069806112007641 | 0.139612224015282 | 0.930193887992359 |
30 | 0.049013784204446 | 0.098027568408892 | 0.950986215795554 |
31 | 0.0336005924945103 | 0.0672011849890206 | 0.96639940750549 |
32 | 0.0224915409458215 | 0.044983081891643 | 0.977508459054178 |
33 | 0.0147022271273581 | 0.0294044542547161 | 0.985297772872642 |
34 | 0.0130435739113841 | 0.0260871478227683 | 0.986956426088616 |
35 | 0.00830575779396208 | 0.0166115155879242 | 0.991694242206038 |
36 | 0.00516792807498828 | 0.0103358561499766 | 0.994832071925012 |
37 | 0.00405716265320448 | 0.00811432530640896 | 0.995942837346796 |
38 | 0.00244381515661185 | 0.0048876303132237 | 0.997556184843388 |
39 | 0.00143867528400445 | 0.0028773505680089 | 0.998561324715996 |
40 | 0.00112748342478024 | 0.00225496684956048 | 0.99887251657522 |
41 | 0.0946259339720271 | 0.189251867944054 | 0.905374066027973 |
42 | 0.0706043569094307 | 0.141208713818861 | 0.929395643090569 |
43 | 0.0515625806471112 | 0.103125161294222 | 0.948437419352889 |
44 | 0.0481060663991858 | 0.0962121327983716 | 0.951893933600814 |
45 | 0.0342292981078076 | 0.0684585962156151 | 0.965770701892192 |
46 | 0.0238186255590721 | 0.0476372511181442 | 0.976181374440928 |
47 | 0.016203061952746 | 0.032406123905492 | 0.983796938047254 |
48 | 0.0107716883272756 | 0.0215433766545512 | 0.989228311672724 |
49 | 0.00699559156345303 | 0.0139911831269061 | 0.993004408436547 |
50 | 0.00443680533455388 | 0.00887361066910775 | 0.995563194665446 |
51 | 0.00427962181393284 | 0.00855924362786568 | 0.995720378186067 |
52 | 0.041464182585301 | 0.082928365170602 | 0.958535817414699 |
53 | 0.0290774954122423 | 0.0581549908244845 | 0.970922504587758 |
54 | 0.33715433996721 | 0.67430867993442 | 0.66284566003279 |
55 | 0.289352760681096 | 0.578705521362192 | 0.710647239318904 |
56 | 0.308674474349258 | 0.617348948698517 | 0.691325525650742 |
57 | 0.252239999849043 | 0.504479999698086 | 0.747760000150957 |
58 | 0.201434956801232 | 0.402869913602465 | 0.798565043198768 |
59 | 0.157014586365092 | 0.314029172730184 | 0.842985413634908 |
60 | 0.368312577131446 | 0.736625154262893 | 0.631687422868554 |
61 | 0.384079219170479 | 0.768158438340959 | 0.615920780829521 |
62 | 0.319056061626211 | 0.638112123252421 | 0.680943938373789 |
63 | 0.256863251460723 | 0.513726502921445 | 0.743136748539277 |
64 | 0.28100837559002 | 0.56201675118004 | 0.71899162440998 |
65 | 0.22093867680377 | 0.44187735360754 | 0.77906132319623 |
66 | 0.180393782933606 | 0.360787565867213 | 0.819606217066394 |
67 | 0.2993906560255 | 0.598781312050999 | 0.7006093439745 |
68 | 0.232437053050067 | 0.464874106100134 | 0.767562946949933 |
69 | 0.178201867896714 | 0.356403735793429 | 0.821798132103286 |
70 | 0.132665711984519 | 0.265331423969038 | 0.867334288015481 |
71 | 0.0960343933347965 | 0.192068786669593 | 0.903965606665204 |
72 | 0.715794538295659 | 0.568410923408681 | 0.284205461704341 |
73 | 0.621763662347367 | 0.756472675305267 | 0.378236337652633 |
74 | 1 | 0 | 0 |
75 | 1 | 0 | 0 |
76 | 1 | 0 | 0 |
77 | 1 | 0 | 0 |
78 | 1 | 0 | 0 |
79 | 1 | 0 | 0 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 22 | 0.301369863013699 | NOK |
5% type I error level | 31 | 0.424657534246575 | NOK |
10% type I error level | 37 | 0.506849315068493 | NOK |