Multiple Linear Regression - Estimated Regression Equation |
Used[t] = + 1.61487115955421 -0.360489672730471Weeks[t] + 0.052264453573244UseLimit[t] -0.0180598419378511T40[t] -0.426359829580634T20[t] + 0.727157918038104CorrectAnalysis[t] + 0.168326965126598Useful[t] + 0.0742966761115331`Outcome\r`[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) | 1.61487115955421 | 0.433151 | 3.7282 | 0.000275 | 0.000138 |
Weeks | -0.360489672730471 | 0.134036 | -2.6895 | 0.007989 | 0.003995 |
UseLimit | 0.052264453573244 | 0.068773 | 0.76 | 0.448507 | 0.224254 |
T40 | -0.0180598419378511 | 0.099436 | -0.1816 | 0.856131 | 0.428066 |
T20 | -0.426359829580634 | 0.109061 | -3.9094 | 0.000141 | 7.1e-05 |
CorrectAnalysis | 0.727157918038104 | 0.123535 | 5.8863 | 0 | 0 |
Useful | 0.168326965126598 | 0.074563 | 2.2575 | 0.025459 | 0.012729 |
`Outcome\r` | 0.0742966761115331 | 0.065544 | 1.1335 | 0.258845 | 0.129422 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.560608866339958 |
R-squared | 0.314282301018973 |
Adjusted R-squared | 0.281405425040431 |
F-TEST (value) | 9.55937240582391 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 146 |
p-value | 9.47382283733589e-10 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.386772330325392 |
Sum Squared Residuals | 21.8405539837788 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.281413756379248 | -0.281413756379248 |
2 | 0 | 0.136792784756621 | -0.136792784756621 |
3 | 0 | 0.136792784756621 | -0.136792784756621 |
4 | 0 | 0.13679278475662 | -0.13679278475662 |
5 | 0 | 0.13679278475662 | -0.13679278475662 |
6 | 0 | 0.431680879567996 | -0.431680879567996 |
7 | 0 | 0.136792784756621 | -0.136792784756621 |
8 | 0 | 0.154852626694472 | -0.154852626694472 |
9 | 0 | 0.211089460868154 | -0.211089460868154 |
10 | 0 | 0.189057238329865 | -0.189057238329865 |
11 | 0 | 0.207117080267716 | -0.207117080267716 |
12 | 0 | 0.136792784756621 | -0.136792784756621 |
13 | 1 | 0.305119749883219 | 0.694880250116781 |
14 | 0 | 0.207117080267716 | -0.207117080267716 |
15 | 1 | 0.379416425994752 | 0.620583574005248 |
16 | 1 | 0.397476267932603 | 0.602523732067397 |
17 | 1 | 1.10260196343242 | -0.102601963432418 |
18 | 0 | 0.207117080267716 | -0.207117080267716 |
19 | 0 | 0.211089460868154 | -0.211089460868154 |
20 | 1 | 1.12463418597071 | -0.124634185970707 |
21 | 0 | 0.357384203456463 | -0.357384203456463 |
22 | 1 | 0.431680879567996 | 0.568319120432004 |
23 | 0 | 0.379416425994752 | -0.379416425994752 |
24 | 0 | 0.431680879567996 | -0.431680879567996 |
25 | 1 | 0.229149302806005 | 0.770850697193995 |
26 | 1 | 0.305119749883219 | 0.694880250116781 |
27 | 0 | 0.263353914441398 | -0.263353914441398 |
28 | 1 | 0.136792784756621 | 0.863207215243379 |
29 | 0 | 0.211089460868154 | -0.211089460868154 |
30 | 0 | 0.305119749883219 | -0.305119749883219 |
31 | 0 | 0.136792784756621 | -0.136792784756621 |
32 | 0 | 0.189057238329865 | -0.189057238329865 |
33 | 0 | 0.357384203456463 | -0.357384203456463 |
34 | 0 | 0.229149302806005 | -0.229149302806005 |
35 | 0 | 0.136792784756621 | -0.136792784756621 |
36 | 0 | 0.136792784756621 | -0.136792784756621 |
37 | 1 | 0.375444045394314 | 0.624555954605686 |
38 | 1 | 0.211089460868154 | 0.788910539131846 |
39 | 0 | 0.379416425994752 | -0.379416425994752 |
40 | 0 | 0.32317959182107 | -0.32317959182107 |
41 | 1 | 1.10657434403286 | -0.106574344032856 |
42 | 1 | 0.211089460868154 | 0.788910539131846 |
43 | 0 | 0.431680879567996 | -0.431680879567996 |
44 | 0 | 0.207117080267716 | -0.207117080267716 |
45 | 0 | 0.305119749883219 | -0.305119749883219 |
46 | 0 | 0.379416425994752 | -0.379416425994752 |
47 | 0 | 0.136792784756621 | -0.136792784756621 |
48 | 0 | 0.211089460868154 | -0.211089460868154 |
49 | 0 | 0.379416425994752 | -0.379416425994752 |
50 | 0 | 0.136792784756621 | -0.136792784756621 |
51 | 1 | 0.154852626694472 | 0.845147373305528 |
52 | 1 | 1.10260196343242 | -0.102601963432418 |
53 | 0 | 0.211089460868154 | -0.211089460868154 |
54 | 1 | 0.863950702794724 | 0.136049297205276 |
55 | 0 | 0.136792784756621 | -0.136792784756621 |
56 | 1 | 0.229149302806005 | 0.770850697193995 |
57 | 1 | 0.379416425994752 | 0.620583574005248 |
58 | 0 | 0.211089460868154 | -0.211089460868154 |
59 | 0 | 0.211089460868154 | -0.211089460868154 |
60 | 1 | 1.17689863954395 | -0.176898639543951 |
61 | 0 | 0.281413756379249 | -0.281413756379249 |
62 | 1 | 0.305119749883219 | 0.694880250116781 |
63 | 0 | 0.136792784756621 | -0.136792784756621 |
64 | 0 | 0.281413756379249 | -0.281413756379249 |
65 | 0 | 0.136792784756621 | -0.136792784756621 |
66 | 0 | 0.136792784756621 | -0.136792784756621 |
67 | 1 | 1.05033750985917 | -0.0503375098591735 |
68 | 0 | 0.189057238329865 | -0.189057238329865 |
69 | 0 | 0.211089460868154 | -0.211089460868154 |
70 | 1 | 0.136792784756621 | 0.863207215243379 |
71 | 0 | 0.136792784756621 | -0.136792784756621 |
72 | 0 | 0.211089460868154 | -0.211089460868154 |
73 | 1 | 0.211089460868154 | 0.788910539131846 |
74 | 1 | 0.189057238329865 | 0.810942761670135 |
75 | 0 | 0.211089460868154 | -0.211089460868154 |
76 | 0 | 0.397476267932603 | -0.397476267932603 |
77 | 0 | 0.211089460868154 | -0.211089460868154 |
78 | 1 | 0.379416425994752 | 0.620583574005248 |
79 | 1 | 0.956307220844108 | 0.0436927791558916 |
80 | 0 | 0.32317959182107 | -0.32317959182107 |
81 | 0 | 0.136792784756621 | -0.136792784756621 |
82 | 1 | 0.263353914441398 | 0.736646085558602 |
83 | 0 | 0.136792784756621 | -0.136792784756621 |
84 | 1 | 0.863950702794724 | 0.136049297205276 |
85 | 0 | 0.379416425994752 | -0.379416425994752 |
86 | 0 | 0.189057238329865 | -0.189057238329865 |
87 | 0 | 0.167733284616774 | -0.167733284616774 |
88 | 1 | 0.594093114197408 | 0.405906885802592 |
89 | 0 | 0.0411721549319971 | -0.0411721549319971 |
90 | 0 | 0.11546883104353 | -0.11546883104353 |
91 | 0 | 0.209499120058595 | -0.209499120058595 |
92 | 0 | 0.519796438085875 | -0.519796438085875 |
93 | 0 | 0.261763573631839 | -0.261763573631839 |
94 | 0 | 0.0411721549319971 | -0.0411721549319971 |
95 | 0 | 0.467531984512631 | -0.467531984512631 |
96 | 0 | 0.11546883104353 | -0.11546883104353 |
97 | 0 | 0.519796438085875 | -0.519796438085875 |
98 | 0 | 0.0411721549319971 | -0.0411721549319971 |
99 | 0 | 0.0934366085052411 | -0.0934366085052411 |
100 | 0 | 0.11546883104353 | -0.11546883104353 |
101 | 0 | 0.167733284616774 | -0.167733284616774 |
102 | 0 | 0.0411721549319971 | -0.0411721549319971 |
103 | 0 | 0.0411721549319971 | -0.0411721549319971 |
104 | 0 | 0.0411721549319971 | -0.0411721549319971 |
105 | 1 | 0.467531984512631 | 0.532468015487369 |
106 | 0 | 0.0411721549319971 | -0.0411721549319971 |
107 | 0 | 0.0411721549319971 | -0.0411721549319971 |
108 | 1 | 0.519796438085875 | 0.480203561914125 |
109 | 0 | 0.0411721549319971 | -0.0411721549319971 |
110 | 0 | 0.0934366085052411 | -0.0934366085052411 |
111 | 1 | 0.688123403212473 | 0.311876596787527 |
112 | 0 | 0.467531984512631 | -0.467531984512631 |
113 | 1 | 0.0411721549319971 | 0.958827845068003 |
114 | 1 | 0.519796438085875 | 0.480203561914125 |
115 | 0 | 0.0934366085052411 | -0.0934366085052411 |
116 | 0 | 0.0411721549319971 | -0.0411721549319971 |
117 | 0 | 0.167733284616774 | -0.167733284616774 |
118 | 0 | 0.0934366085052411 | -0.0934366085052411 |
119 | 0 | 0.0411721549319971 | -0.0411721549319971 |
120 | 0 | 0.11546883104353 | -0.11546883104353 |
121 | 0 | 0.0934366085052411 | -0.0934366085052411 |
122 | 0 | 0.0411721549319971 | -0.0411721549319971 |
123 | 1 | 0.519796438085875 | 0.480203561914125 |
124 | 1 | 0.283795796170128 | 0.716204203829872 |
125 | 0 | 0.11546883104353 | -0.11546883104353 |
126 | 0 | 0.467531984512631 | -0.467531984512631 |
127 | 0 | 0.209499120058595 | -0.209499120058595 |
128 | 0 | 0.11546883104353 | -0.11546883104353 |
129 | 0 | 0.0411721549319971 | -0.0411721549319971 |
130 | 0 | 0.11546883104353 | -0.11546883104353 |
131 | 0 | 0.0934366085052411 | -0.0934366085052411 |
132 | 0 | 0.167733284616774 | -0.167733284616774 |
133 | 1 | 0.093436608505241 | 0.906563391494759 |
134 | 0 | 0.0411721549319971 | -0.0411721549319971 |
135 | 0 | 0.0411721549319971 | -0.0411721549319971 |
136 | 0 | 0.0411721549319971 | -0.0411721549319971 |
137 | 1 | 0.336060249743372 | 0.663939750256628 |
138 | 1 | 0.762420079324006 | 0.237579920675994 |
139 | 0 | 0.467531984512631 | -0.467531984512631 |
140 | 0 | 0.0411721549319971 | -0.0411721549319971 |
141 | 1 | 0.842626749081634 | 0.157373250918366 |
142 | 1 | 0.541828660624164 | 0.458171339375836 |
143 | 0 | 0.0934366085052411 | -0.0934366085052411 |
144 | 0 | 0.283795796170128 | -0.283795796170128 |
145 | 0 | 0.209499120058595 | -0.209499120058595 |
146 | 0 | 0.541828660624164 | -0.541828660624164 |
147 | 1 | 0.467531984512631 | 0.532468015487369 |
148 | 0 | 0.467531984512631 | -0.467531984512631 |
149 | 0 | 0.0934366085052411 | -0.0934366085052411 |
150 | 0 | 0.283795796170128 | -0.283795796170128 |
151 | 0 | 0.11546883104353 | -0.11546883104353 |
152 | 1 | 0.820594526543345 | 0.179405473456655 |
153 | 1 | 0.988921491669943 | 0.0110785083300572 |
154 | 1 | 0.093436608505241 | 0.906563391494759 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0 | 0 | 1 |
12 | 0 | 0 | 1 |
13 | 0.157463046537502 | 0.314926093075003 | 0.842536953462498 |
14 | 0.0847372017201832 | 0.169474403440366 | 0.915262798279817 |
15 | 0.111679880102757 | 0.223359760205514 | 0.888320119897243 |
16 | 0.0678188738259869 | 0.135637747651974 | 0.932181126174013 |
17 | 0.0367045497442221 | 0.0734090994884441 | 0.963295450255778 |
18 | 0.0194375495879245 | 0.038875099175849 | 0.980562450412075 |
19 | 0.00983479389360297 | 0.0196695877872059 | 0.990165206106397 |
20 | 0.00554915092978612 | 0.0110983018595722 | 0.994450849070214 |
21 | 0.0156829912693805 | 0.0313659825387609 | 0.98431700873062 |
22 | 0.0530294166930235 | 0.106058833386047 | 0.946970583306977 |
23 | 0.163875368161258 | 0.327750736322516 | 0.836124631838742 |
24 | 0.172315278048148 | 0.344630556096296 | 0.827684721951852 |
25 | 0.329702667467832 | 0.659405334935665 | 0.670297332532168 |
26 | 0.349703622282162 | 0.699407244564324 | 0.650296377717838 |
27 | 0.320015169735288 | 0.640030339470576 | 0.679984830264712 |
28 | 0.626636731028071 | 0.746726537943858 | 0.373363268971929 |
29 | 0.570359313562829 | 0.859281372874342 | 0.429640686437171 |
30 | 0.649212589403825 | 0.70157482119235 | 0.350787410596175 |
31 | 0.592207481772008 | 0.815585036455983 | 0.407792518227992 |
32 | 0.546594861135307 | 0.906810277729386 | 0.453405138864693 |
33 | 0.520409172161711 | 0.959181655676578 | 0.479590827838289 |
34 | 0.511828298891846 | 0.976343402216307 | 0.488171701108154 |
35 | 0.45590124871576 | 0.911802497431519 | 0.54409875128424 |
36 | 0.40112949204285 | 0.802258984085699 | 0.59887050795715 |
37 | 0.438034525685608 | 0.876069051371216 | 0.561965474314392 |
38 | 0.658825284722759 | 0.682349430554482 | 0.341174715277241 |
39 | 0.704461369246672 | 0.591077261506656 | 0.295538630753328 |
40 | 0.759735606691378 | 0.480528786617244 | 0.240264393308622 |
41 | 0.714859803247944 | 0.570280393504111 | 0.285140196752056 |
42 | 0.828631252203542 | 0.342737495592915 | 0.171368747796458 |
43 | 0.8268466855417 | 0.3463066289166 | 0.1731533144583 |
44 | 0.795764942720745 | 0.408470114558511 | 0.204235057279255 |
45 | 0.79061311034878 | 0.418773779302441 | 0.20938688965122 |
46 | 0.803234792422655 | 0.39353041515469 | 0.196765207577345 |
47 | 0.76934714914707 | 0.46130570170586 | 0.23065285085293 |
48 | 0.742094143945097 | 0.515811712109806 | 0.257905856054903 |
49 | 0.751717375581128 | 0.496565248837745 | 0.248282624418872 |
50 | 0.714634766600253 | 0.570730466799493 | 0.285365233399747 |
51 | 0.83438432368736 | 0.33123135262528 | 0.16561567631264 |
52 | 0.803699425958014 | 0.392601148083971 | 0.196300574041986 |
53 | 0.779274507319827 | 0.441450985360347 | 0.220725492680174 |
54 | 0.751932928316595 | 0.496134143366809 | 0.248067071683405 |
55 | 0.717310421147538 | 0.565379157704924 | 0.282689578852462 |
56 | 0.834560787864643 | 0.330878424270715 | 0.165439212135357 |
57 | 0.86353266803166 | 0.272934663936681 | 0.13646733196834 |
58 | 0.84613100066994 | 0.30773799866012 | 0.15386899933006 |
59 | 0.827468779454183 | 0.345062441091633 | 0.172531220545817 |
60 | 0.797446698566613 | 0.405106602866774 | 0.202553301433387 |
61 | 0.76917903162977 | 0.46164193674046 | 0.23082096837023 |
62 | 0.822418688446762 | 0.355162623106475 | 0.177581311553238 |
63 | 0.794406167832283 | 0.411187664335435 | 0.205593832167717 |
64 | 0.764851721779002 | 0.470296556441996 | 0.235148278220998 |
65 | 0.732558414834422 | 0.534883170331156 | 0.267441585165578 |
66 | 0.69871733023581 | 0.602565339528381 | 0.30128266976419 |
67 | 0.663579199478449 | 0.672841601043101 | 0.33642080052155 |
68 | 0.648358336703723 | 0.703283326592553 | 0.351641663296277 |
69 | 0.624107446711871 | 0.751785106576258 | 0.375892553288129 |
70 | 0.780137096138181 | 0.439725807723639 | 0.219862903861819 |
71 | 0.750763154842593 | 0.498473690314813 | 0.249236845157406 |
72 | 0.730203841332611 | 0.539592317334778 | 0.269796158667389 |
73 | 0.835301669281591 | 0.329396661436818 | 0.164698330718409 |
74 | 0.929179512045891 | 0.141640975908217 | 0.0708204879541087 |
75 | 0.917167834365637 | 0.165664331268726 | 0.0828321656343631 |
76 | 0.919175892564782 | 0.161648214870435 | 0.0808241074352177 |
77 | 0.906907389476178 | 0.186185221047644 | 0.0930926105238221 |
78 | 0.93263421488325 | 0.1347315702335 | 0.0673657851167498 |
79 | 0.917043637513046 | 0.165912724973908 | 0.082956362486954 |
80 | 0.911566552698919 | 0.176866894602162 | 0.0884334473010811 |
81 | 0.892819790575781 | 0.214360418848437 | 0.107180209424219 |
82 | 0.947957772221688 | 0.104084455556624 | 0.0520422277783122 |
83 | 0.935283036362047 | 0.129433927275906 | 0.0647169636379528 |
84 | 0.92710153319804 | 0.14579693360392 | 0.0728984668019601 |
85 | 0.916944085260892 | 0.166111829478215 | 0.0830559147391076 |
86 | 0.896830088561726 | 0.206339822876548 | 0.103169911438274 |
87 | 0.880342489496338 | 0.239315021007323 | 0.119657510503662 |
88 | 0.867538960641702 | 0.264922078716597 | 0.132461039358298 |
89 | 0.839171156743584 | 0.321657686512832 | 0.160828843256416 |
90 | 0.80783614880122 | 0.384327702397561 | 0.19216385119878 |
91 | 0.7802529337995 | 0.439494132400999 | 0.2197470662005 |
92 | 0.831986383643605 | 0.336027232712789 | 0.168013616356395 |
93 | 0.829158046280966 | 0.341683907438068 | 0.170841953719034 |
94 | 0.795510038844136 | 0.408979922311729 | 0.204489961155864 |
95 | 0.8033493332951 | 0.393301333409799 | 0.1966506667049 |
96 | 0.766574880487464 | 0.466850239025073 | 0.233425119512536 |
97 | 0.815340107780097 | 0.369319784439805 | 0.184659892219903 |
98 | 0.779445684658432 | 0.441108630683136 | 0.220554315341568 |
99 | 0.75257961638049 | 0.494840767239021 | 0.24742038361951 |
100 | 0.710286796667953 | 0.579426406664094 | 0.289713203332047 |
101 | 0.683931611184655 | 0.63213677763069 | 0.316068388815345 |
102 | 0.636319145331658 | 0.727361709336683 | 0.363680854668342 |
103 | 0.586245548312882 | 0.827508903374236 | 0.413754451687118 |
104 | 0.534465845691237 | 0.931068308617525 | 0.465534154308763 |
105 | 0.604097593672739 | 0.791804812654523 | 0.395902406327261 |
106 | 0.551946168567957 | 0.896107662864085 | 0.448053831432043 |
107 | 0.498605619857372 | 0.997211239714745 | 0.501394380142627 |
108 | 0.506483513513994 | 0.987032972972013 | 0.493516486486006 |
109 | 0.452318366707215 | 0.90463673341443 | 0.547681633292785 |
110 | 0.418498891598267 | 0.836997783196534 | 0.581501108401733 |
111 | 0.379828010630623 | 0.759656021261246 | 0.620171989369377 |
112 | 0.393451292557316 | 0.786902585114631 | 0.606548707442684 |
113 | 0.720165639582204 | 0.559668720835592 | 0.279834360417796 |
114 | 0.716682236056286 | 0.566635527887428 | 0.283317763943714 |
115 | 0.682536139093239 | 0.634927721813521 | 0.317463860906761 |
116 | 0.629179384539974 | 0.741641230920052 | 0.370820615460026 |
117 | 0.619333076037906 | 0.761333847924188 | 0.380666923962094 |
118 | 0.590089470508921 | 0.819821058982159 | 0.409910529491079 |
119 | 0.531224735381658 | 0.937550529236683 | 0.468775264618342 |
120 | 0.471961540863948 | 0.943923081727896 | 0.528038459136052 |
121 | 0.447677540698719 | 0.895355081397438 | 0.552322459301281 |
122 | 0.386970167133926 | 0.773940334267852 | 0.613029832866074 |
123 | 0.369437067017072 | 0.738874134034144 | 0.630562932982928 |
124 | 0.56168455475226 | 0.87663089049548 | 0.43831544524774 |
125 | 0.496342170098064 | 0.992684340196128 | 0.503657829901936 |
126 | 0.494497727154484 | 0.988995454308968 | 0.505502272845516 |
127 | 0.428765712997133 | 0.857531425994265 | 0.571234287002867 |
128 | 0.361710746281909 | 0.723421492563818 | 0.638289253718091 |
129 | 0.297114745833295 | 0.59422949166659 | 0.702885254166705 |
130 | 0.237903650024319 | 0.475807300048637 | 0.762096349975681 |
131 | 0.225227833891596 | 0.450455667783192 | 0.774772166108404 |
132 | 0.284683337426651 | 0.569366674853301 | 0.715316662573349 |
133 | 0.377631945909387 | 0.755263891818775 | 0.622368054090613 |
134 | 0.302623264788603 | 0.605246529577206 | 0.697376735211397 |
135 | 0.234014097258456 | 0.468028194516912 | 0.765985902741544 |
136 | 0.174288022493378 | 0.348576044986756 | 0.825711977506622 |
137 | 0.18709030565991 | 0.37418061131982 | 0.81290969434009 |
138 | 0.137899305276706 | 0.275798610553413 | 0.862100694723294 |
139 | 0.133433591938846 | 0.266867183877691 | 0.866566408061154 |
140 | 0.084475110415594 | 0.168950220831188 | 0.915524889584406 |
141 | 0.0525522031564292 | 0.105104406312858 | 0.947447796843571 |
142 | 0.0822522638698504 | 0.164504527739701 | 0.91774773613015 |
143 | 0.0651501987528899 | 0.13030039750578 | 0.93484980124711 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0150375939849624 | NOK |
5% type I error level | 6 | 0.0451127819548872 | OK |
10% type I error level | 7 | 0.0526315789473684 | OK |