Multiple Linear Regression - Estimated Regression Equation |
Outcome [t] = + 0.409019844778356 -0.000189242265685719Weeks_Treatment[t] -0.0950775989296687UseLimit[t] + 0.0936292750648398Used[t] -0.100058960911CorrectAnalysis[t] + 0.173486652736788Useful[t] -0.000614737681868545t + 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) | 0.409019844778356 | 0.09527 | 4.2933 | 3.2e-05 | 1.6e-05 |
Weeks_Treatment | -0.000189242265685719 | 0.028968 | -0.0065 | 0.994797 | 0.497398 |
UseLimit | -0.0950775989296687 | 0.086031 | -1.1052 | 0.2709 | 0.13545 |
Used | 0.0936292750648398 | 0.10053 | 0.9314 | 0.353198 | 0.176599 |
CorrectAnalysis | -0.100058960911 | 0.167461 | -0.5975 | 0.551088 | 0.275544 |
Useful | 0.173486652736788 | 0.094547 | 1.8349 | 0.068538 | 0.034269 |
t | -0.000614737681868545 | 0.000925 | -0.6645 | 0.507433 | 0.253717 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.215877452804126 |
R-squared | 0.0466030746291977 |
Adjusted R-squared | 0.00768891440998121 |
F-TEST (value) | 1.19758654347587 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0.310788489800201 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.488792166861197 |
Sum Squared Residuals | 35.1209140105751 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.312570539104076 | 0.687429460895924 |
2 | 0 | 0.407790369414619 | -0.407790369414619 |
3 | 0 | 0.40717563173275 | -0.40717563173275 |
4 | 0 | 0.406560894050882 | -0.406560894050882 |
5 | 0 | 0.405946156369013 | -0.405946156369013 |
6 | 1 | 0.483740472494264 | 0.516259527505736 |
7 | 0 | 0.404716681005276 | -0.404716681005276 |
8 | 0 | 0.403344974260665 | -0.403344974260665 |
9 | 1 | 0.403487205641539 | 0.596512794358461 |
10 | 0 | 0.307794869030002 | -0.307794869030002 |
11 | 0 | 0.30642316228539 | -0.30642316228539 |
12 | 0 | 0.401642992595933 | -0.401642992595933 |
13 | 0 | 0.668144182715693 | -0.668144182715693 |
14 | 0 | 0.304578949239785 | -0.304578949239785 |
15 | 1 | 0.666914707351955 | 0.333085292648045 |
16 | 1 | 0.665543000607344 | 0.334456999392656 |
17 | 0 | 0.469791703084807 | -0.469791703084807 |
18 | 0 | 0.302119998512311 | -0.302119998512311 |
19 | 1 | 0.397339828822854 | 0.602660171177146 |
20 | 1 | 0.563025088968869 | 0.436974911031131 |
21 | 0 | 0.474519407266235 | -0.474519407266235 |
22 | 1 | 0.567533944649207 | 0.432466055350793 |
23 | 1 | 0.568367530832167 | 0.431632469167833 |
24 | 1 | 0.47267519422063 | 0.52732480577937 |
25 | 1 | 0.486523708733739 | 0.513476291266261 |
26 | 0 | 0.660152592851401 | -0.660152592851401 |
27 | 1 | 0.297344328438237 | 0.702655671561763 |
28 | 0 | 0.485436464750877 | -0.485436464750877 |
29 | 1 | 0.391192452004169 | 0.608807547995831 |
30 | 0 | 0.564064367059087 | -0.564064367059087 |
31 | 0 | 0.389962976640431 | -0.389962976640431 |
32 | 0 | 0.294270640028894 | -0.294270640028894 |
33 | 0 | 0.467142555083813 | -0.467142555083813 |
34 | 1 | 0.387361794532083 | 0.612638205467917 |
35 | 0 | 0.387504025912957 | -0.387504025912957 |
36 | 0 | 0.386889288231088 | -0.386889288231088 |
37 | 0 | 0.557555910358436 | -0.557555910358436 |
38 | 1 | 0.479289087932191 | 0.520710912067809 |
39 | 1 | 0.55853172792227 | 0.44146827207773 |
40 | 0 | 0.557160021177659 | -0.557160021177659 |
41 | 1 | 0.550872566712373 | 0.449127433287627 |
42 | 1 | 0.476830137204717 | 0.523169862795283 |
43 | 1 | 0.460995178265128 | 0.539004821734872 |
44 | 0 | 0.286136818783728 | -0.286136818783728 |
45 | 0 | 0.554843301831059 | -0.554843301831059 |
46 | 1 | 0.554228564149191 | 0.445771435850809 |
47 | 0 | 0.380127173730534 | -0.380127173730534 |
48 | 1 | 0.379512436048666 | 0.620487563951334 |
49 | 1 | 0.552384351103585 | 0.447615648896415 |
50 | 0 | 0.378282960684929 | -0.378282960684929 |
51 | 0 | 0.470540529005157 | -0.470540529005157 |
52 | 0 | 0.448275884219407 | -0.448275884219407 |
53 | 1 | 0.376438747639323 | 0.623561252360677 |
54 | 0 | 0.369394324111294 | -0.369394324111294 |
55 | 0 | 0.375209272275586 | -0.375209272275586 |
56 | 1 | 0.467466840595814 | 0.532533159404186 |
57 | 1 | 0.641095724713476 | 0.358904275286524 |
58 | 1 | 0.373365059229981 | 0.626634940770019 |
59 | 1 | 0.372750321548112 | 0.627249678451888 |
60 | 1 | 0.443357982764459 | 0.556642017235541 |
61 | 1 | 0.275686278191963 | 0.724313721808037 |
62 | 0 | 0.638022036304134 | -0.638022036304134 |
63 | 0 | 0.370291370820638 | -0.370291370820638 |
64 | 1 | 0.273842065146358 | 0.726157934853642 |
65 | 0 | 0.369061895456901 | -0.369061895456901 |
66 | 0 | 0.368447157775032 | -0.368447157775032 |
67 | 0 | 0.534132417921048 | -0.534132417921048 |
68 | 0 | 0.272140083481626 | -0.272140083481626 |
69 | 1 | 0.366602944729427 | 0.633397055270573 |
70 | 0 | 0.459617482112398 | -0.459617482112398 |
71 | 0 | 0.365373469365689 | -0.365373469365689 |
72 | 1 | 0.364758731683821 | 0.635241268316179 |
73 | 1 | 0.457773269066792 | 0.542226730933208 |
74 | 0 | 0.362080932455255 | -0.362080932455255 |
75 | 1 | 0.362914518638215 | 0.637085481361785 |
76 | 1 | 0.535029464630391 | 0.464970535369609 |
77 | 1 | 0.361685043274478 | 0.638314956725522 |
78 | 1 | 0.628186233394237 | 0.371813766605763 |
79 | 1 | 0.353268913001838 | 0.646731086998162 |
80 | 0 | 0.532570513902917 | -0.532570513902917 |
81 | 0 | 0.359226092547004 | -0.359226092547004 |
82 | 1 | 0.357163031000307 | 0.642836968999693 |
83 | 0 | 0.357996617183267 | -0.357996617183267 |
84 | 0 | 0.350952193655238 | -0.350952193655238 |
85 | 1 | 0.530253794556317 | 0.469746205443683 |
86 | 0 | 0.261074805207992 | -0.261074805207992 |
87 | 1 | 0.260460067526124 | 0.739539932473876 |
88 | 1 | 0.353096120377724 | 0.646903879622276 |
89 | 0 | 0.354308191092055 | -0.354308191092055 |
90 | 1 | 0.353693453410187 | 0.646306546589813 |
91 | 0 | 0.526565368465106 | -0.526565368465106 |
92 | 0 | 0.25700789458541 | -0.25700789458541 |
93 | 0 | 0.4302582941717 | -0.4302582941717 |
94 | 0 | 0.351234502682713 | -0.351234502682713 |
95 | 0 | 0.350241280469473 | -0.350241280469473 |
96 | 1 | 0.350005027318976 | 0.649994972681024 |
97 | 0 | 0.253934206176067 | -0.253934206176067 |
98 | 0 | 0.348775551955239 | -0.348775551955239 |
99 | 0 | 0.253083215343701 | -0.253083215343701 |
100 | 1 | 0.347546076591502 | 0.652453923408498 |
101 | 1 | 0.251853739979965 | 0.748146260020035 |
102 | 0 | 0.346316601227764 | -0.346316601227764 |
103 | 0 | 0.345701863545896 | -0.345701863545896 |
104 | 0 | 0.345087125864027 | -0.345087125864027 |
105 | 0 | 0.437723178715627 | -0.437723178715627 |
106 | 0 | 0.34385765050029 | -0.34385765050029 |
107 | 0 | 0.343242912818422 | -0.343242912818422 |
108 | 0 | 0.340801366740353 | -0.340801366740353 |
109 | 0 | 0.342013437454685 | -0.342013437454685 |
110 | 0 | 0.246321100843147 | -0.246321100843147 |
111 | 0 | 0.512443806431535 | -0.512443806431535 |
112 | 0 | 0.339790739877708 | -0.339790739877708 |
113 | 0 | 0.43318376179205 | -0.43318376179205 |
114 | 0 | 0.337112940649142 | -0.337112940649142 |
115 | 0 | 0.243247412433805 | -0.243247412433805 |
116 | 0 | 0.337710273681605 | -0.337710273681605 |
117 | 1 | 0.242017937070068 | 0.757982062929932 |
118 | 0 | 0.241403199388199 | -0.241403199388199 |
119 | 0 | 0.335866060635999 | -0.335866060635999 |
120 | 1 | 0.335251322954131 | 0.664748677045869 |
121 | 0 | 0.239558986342593 | -0.239558986342593 |
122 | 0 | 0.334021847590394 | -0.334021847590394 |
123 | 0 | 0.331580301512325 | -0.331580301512325 |
124 | 1 | 0.599908300028284 | 0.400091699971716 |
125 | 1 | 0.332177634544788 | 0.667822365455212 |
126 | 0 | 0.331184412331548 | -0.331184412331548 |
127 | 0 | 0.504434811917839 | -0.504434811917839 |
128 | 1 | 0.330333421499182 | 0.669666578500818 |
129 | 0 | 0.329718683817314 | -0.329718683817314 |
130 | 1 | 0.329103946135445 | 0.670896053864555 |
131 | 0 | 0.233411609523908 | -0.233411609523908 |
132 | 1 | 0.23279687184204 | 0.76720312815796 |
133 | 0 | 0.325811409225011 | -0.325811409225011 |
134 | 0 | 0.326644995407971 | -0.326644995407971 |
135 | 0 | 0.326030257726102 | -0.326030257726102 |
136 | 0 | 0.325415520044234 | -0.325415520044234 |
137 | 1 | 0.496839111234324 | 0.503160888765676 |
138 | 1 | 0.495845889021084 | 0.504154110978916 |
139 | 0 | 0.323192822467257 | -0.323192822467257 |
140 | 0 | 0.32295656931676 | -0.32295656931676 |
141 | 1 | 0.315912145788731 | 0.684087854211269 |
142 | 1 | 0.414977884486491 | 0.585022115513509 |
143 | 0 | 0.226034757341485 | -0.226034757341485 |
144 | 1 | 0.493984271326073 | 0.506015728673927 |
145 | 0 | 0.493369533644205 | -0.493369533644205 |
146 | 1 | 0.318889658694177 | 0.681110341305823 |
147 | 0 | 0.411904196077148 | -0.411904196077148 |
148 | 0 | 0.31766018333044 | -0.31766018333044 |
149 | 0 | 0.222346331250274 | -0.222346331250274 |
150 | 1 | 0.490295845234862 | 0.509704154765138 |
151 | 1 | 0.316194454816206 | 0.683805545183794 |
152 | 0 | 0.214072432358508 | -0.214072432358508 |
153 | 0 | 0.386944347413427 | -0.386944347413427 |
154 | 0 | 0.312901917905771 | -0.312901917905771 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.841063730937202 | 0.317872538125597 | 0.158936269062798 |
11 | 0.788848022087372 | 0.422303955825256 | 0.211151977912628 |
12 | 0.680811844109981 | 0.638376311780038 | 0.319188155890019 |
13 | 0.570233717368115 | 0.85953256526377 | 0.429766282631885 |
14 | 0.465272206875507 | 0.930544413751014 | 0.534727793124493 |
15 | 0.593009801364963 | 0.813980397270073 | 0.406990198635037 |
16 | 0.531348041856219 | 0.937303916287562 | 0.468651958143781 |
17 | 0.439349924599361 | 0.878699849198722 | 0.560650075400639 |
18 | 0.353661245080245 | 0.70732249016049 | 0.646338754919755 |
19 | 0.555871831669536 | 0.888256336660927 | 0.444128168330464 |
20 | 0.556671029628891 | 0.886657940742217 | 0.443328970371109 |
21 | 0.649129984398947 | 0.701740031202106 | 0.350870015601053 |
22 | 0.64471262507892 | 0.710574749842159 | 0.35528737492108 |
23 | 0.592417233524571 | 0.815165532950859 | 0.40758276647543 |
24 | 0.550073065080911 | 0.899853869838178 | 0.449926934919089 |
25 | 0.530872281091463 | 0.938255437817073 | 0.469127718908536 |
26 | 0.652348211976743 | 0.695303576046515 | 0.347651788023258 |
27 | 0.67595453312303 | 0.64809093375394 | 0.32404546687697 |
28 | 0.66825225296158 | 0.66349549407684 | 0.33174774703842 |
29 | 0.649716937767562 | 0.700566124464875 | 0.350283062232438 |
30 | 0.740313261234772 | 0.519373477530455 | 0.259686738765228 |
31 | 0.72898408984863 | 0.54203182030274 | 0.27101591015137 |
32 | 0.703929912374225 | 0.59214017525155 | 0.296070087625775 |
33 | 0.711438681496416 | 0.577122637007168 | 0.288561318503584 |
34 | 0.708814922902869 | 0.582370154194262 | 0.291185077097131 |
35 | 0.687462076554614 | 0.625075846890772 | 0.312537923445386 |
36 | 0.660916484067521 | 0.678167031864959 | 0.339083515932479 |
37 | 0.69631284476979 | 0.60737431046042 | 0.30368715523021 |
38 | 0.711250557261965 | 0.577498885476069 | 0.288749442738035 |
39 | 0.694935969587974 | 0.610128060824051 | 0.305064030412026 |
40 | 0.716816448516714 | 0.566367102966572 | 0.283183551483286 |
41 | 0.692856226326223 | 0.614287547347553 | 0.307143773673777 |
42 | 0.678379520494249 | 0.643240959011501 | 0.321620479505751 |
43 | 0.674015964764377 | 0.651968070471246 | 0.325984035235623 |
44 | 0.651481095432019 | 0.697037809135961 | 0.348518904567981 |
45 | 0.664058256668078 | 0.671883486663844 | 0.335941743331922 |
46 | 0.652156371207261 | 0.695687257585478 | 0.347843628792739 |
47 | 0.63962114699961 | 0.72075770600078 | 0.36037885300039 |
48 | 0.650740513181486 | 0.698518973637028 | 0.349259486818514 |
49 | 0.631623747229235 | 0.73675250554153 | 0.368376252770765 |
50 | 0.624418142698171 | 0.751163714603657 | 0.375581857301829 |
51 | 0.629003506511415 | 0.74199298697717 | 0.370996493488585 |
52 | 0.636580073385311 | 0.726839853229379 | 0.363419926614689 |
53 | 0.649664617825768 | 0.700670764348463 | 0.350335382174232 |
54 | 0.635579145736701 | 0.728841708526598 | 0.364420854263299 |
55 | 0.621595540801079 | 0.756808918397842 | 0.378404459198921 |
56 | 0.61957809494134 | 0.76084381011732 | 0.38042190505866 |
57 | 0.586026688264742 | 0.827946623470515 | 0.413973311735258 |
58 | 0.597128900699104 | 0.805742198601791 | 0.402871099300896 |
59 | 0.60479027808801 | 0.790419443823981 | 0.39520972191199 |
60 | 0.600924219215794 | 0.798151561568411 | 0.399075780784206 |
61 | 0.619393356189186 | 0.761213287621629 | 0.380606643810814 |
62 | 0.675884617313628 | 0.648230765372745 | 0.324115382686372 |
63 | 0.672746578154815 | 0.654506843690369 | 0.327253421845185 |
64 | 0.703144061147328 | 0.593711877705345 | 0.296855938852672 |
65 | 0.699477862630221 | 0.601044274739558 | 0.300522137369779 |
66 | 0.693045586931566 | 0.613908826136869 | 0.306954413068434 |
67 | 0.702569892281413 | 0.594860215437175 | 0.297430107718587 |
68 | 0.684759769813512 | 0.630480460372975 | 0.315240230186488 |
69 | 0.695111891162397 | 0.609776217675206 | 0.304888108837603 |
70 | 0.704020010580463 | 0.591959978839074 | 0.295979989419537 |
71 | 0.694889473674372 | 0.610221052651256 | 0.305110526325628 |
72 | 0.705280123054202 | 0.589439753891597 | 0.294719876945798 |
73 | 0.697505532513552 | 0.604988934972896 | 0.302494467486448 |
74 | 0.690106207006005 | 0.61978758598799 | 0.309893792993995 |
75 | 0.70109081583387 | 0.59781836833226 | 0.29890918416613 |
76 | 0.694439337742397 | 0.611121324515206 | 0.305560662257603 |
77 | 0.708548477153435 | 0.58290304569313 | 0.291451522846565 |
78 | 0.681564026831028 | 0.636871946337944 | 0.318435973168972 |
79 | 0.739875204859076 | 0.520249590281849 | 0.260124795140924 |
80 | 0.746638001739599 | 0.506723996520801 | 0.253361998260401 |
81 | 0.735912107437189 | 0.528175785125623 | 0.264087892562811 |
82 | 0.749886376752931 | 0.500227246494139 | 0.250113623247069 |
83 | 0.737193289509021 | 0.525613420981959 | 0.262806710490979 |
84 | 0.716208415552328 | 0.567583168895343 | 0.283791584447672 |
85 | 0.712420806314711 | 0.575158387370579 | 0.287579193685289 |
86 | 0.688600461199215 | 0.62279907760157 | 0.311399538800785 |
87 | 0.739882977421682 | 0.520234045156636 | 0.260117022578318 |
88 | 0.795232961475911 | 0.409534077048178 | 0.204767038524089 |
89 | 0.779879579369739 | 0.440240841260522 | 0.220120420630261 |
90 | 0.818449423345196 | 0.363101153309608 | 0.181550576654804 |
91 | 0.820401202656281 | 0.359197594687438 | 0.179598797343719 |
92 | 0.799936865079745 | 0.40012626984051 | 0.200063134920255 |
93 | 0.789830057261039 | 0.420339885477922 | 0.210169942738961 |
94 | 0.76992618875417 | 0.46014762249166 | 0.23007381124583 |
95 | 0.743793109699252 | 0.512413780601496 | 0.256206890300748 |
96 | 0.78776686513256 | 0.42446626973488 | 0.21223313486744 |
97 | 0.758740789761503 | 0.482518420476995 | 0.241259210238497 |
98 | 0.733229575554952 | 0.533540848890096 | 0.266770424445048 |
99 | 0.698546784291557 | 0.602906431416886 | 0.301453215708443 |
100 | 0.755024135457289 | 0.489951729085422 | 0.244975864542711 |
101 | 0.846415828634302 | 0.307168342731396 | 0.153584171365698 |
102 | 0.823144467777168 | 0.353711064445663 | 0.176855532222832 |
103 | 0.79722891208006 | 0.405542175839881 | 0.202771087919941 |
104 | 0.768866572064323 | 0.462266855871354 | 0.231133427935677 |
105 | 0.745340881132881 | 0.509318237734239 | 0.254659118867119 |
106 | 0.713240916512212 | 0.573518166975575 | 0.286759083487788 |
107 | 0.680151825346558 | 0.639696349306884 | 0.319848174653442 |
108 | 0.642367228060487 | 0.715265543879027 | 0.357632771939513 |
109 | 0.60772963450756 | 0.784540730984879 | 0.39227036549244 |
110 | 0.559914483260686 | 0.880171033478628 | 0.440085516739314 |
111 | 0.541012180505348 | 0.917975638989303 | 0.458987819494651 |
112 | 0.500726100483433 | 0.998547799033134 | 0.499273899516567 |
113 | 0.494834789224018 | 0.989669578448036 | 0.505165210775982 |
114 | 0.456175176263334 | 0.912350352526668 | 0.543824823736666 |
115 | 0.408821711771103 | 0.817643423542207 | 0.591178288228897 |
116 | 0.390128954266617 | 0.780257908533235 | 0.609871045733383 |
117 | 0.48708287533076 | 0.974165750661521 | 0.51291712466924 |
118 | 0.432801919495325 | 0.865603838990649 | 0.567198080504675 |
119 | 0.412624439831479 | 0.825248879662958 | 0.587375560168521 |
120 | 0.440471242928876 | 0.880942485857753 | 0.559528757071124 |
121 | 0.384964289711257 | 0.769928579422514 | 0.615035710288743 |
122 | 0.36262093079005 | 0.725241861580099 | 0.63737906920995 |
123 | 0.330467656922212 | 0.660935313844424 | 0.669532343077788 |
124 | 0.285270353424081 | 0.570540706848163 | 0.714729646575919 |
125 | 0.306934724617076 | 0.613869449234152 | 0.693065275382924 |
126 | 0.284553753431353 | 0.569107506862707 | 0.715446246568647 |
127 | 0.351336371791874 | 0.702672743583749 | 0.648663628208126 |
128 | 0.365053266477087 | 0.730106532954174 | 0.634946733522913 |
129 | 0.347007674005603 | 0.694015348011206 | 0.652992325994397 |
130 | 0.369674508113709 | 0.739349016227417 | 0.630325491886291 |
131 | 0.312020250319523 | 0.624040500639046 | 0.687979749680477 |
132 | 0.49113309218494 | 0.98226618436988 | 0.50886690781506 |
133 | 0.424636644779239 | 0.849273289558479 | 0.575363355220761 |
134 | 0.369104129671061 | 0.738208259342123 | 0.630895870328939 |
135 | 0.328246557467803 | 0.656493114935606 | 0.671753442532197 |
136 | 0.319416570986915 | 0.63883314197383 | 0.680583429013085 |
137 | 0.26505635380643 | 0.53011270761286 | 0.73494364619357 |
138 | 0.374431047372525 | 0.748862094745051 | 0.625568952627475 |
139 | 0.318835309984395 | 0.63767061996879 | 0.681164690015605 |
140 | 0.429819821737216 | 0.859639643474433 | 0.570180178262784 |
141 | 0.331237559625085 | 0.66247511925017 | 0.668762440374915 |
142 | 0.417421460223893 | 0.834842920447786 | 0.582578539776107 |
143 | 0.29114765026388 | 0.582295300527761 | 0.70885234973612 |
144 | 0.323186502822624 | 0.646373005645249 | 0.676813497177376 |
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 |