Multiple Linear Regression - Estimated Regression Equation |
Useful[t] = + 0.183709865137359 + 0.0595520799693369Weeks[t] -0.0762411190828498UseLimit[t] -0.0392985464077028T40enT20[t] + 0.0980562791952251Used[t] + 0.157662701384507CorrectAnalysis[t] -0.11408526054452Outcome[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) | 0.183709865137359 | 0.136756 | 1.3433 | 0.181232 | 0.090616 |
Weeks | 0.0595520799693369 | 0.040765 | 1.4609 | 0.146187 | 0.073093 |
UseLimit | -0.0762411190828498 | 0.086055 | -0.886 | 0.377089 | 0.188544 |
T40enT20 | -0.0392985464077028 | 0.094264 | -0.4169 | 0.677359 | 0.33868 |
Used | 0.0980562791952251 | 0.101019 | 0.9707 | 0.333308 | 0.166654 |
CorrectAnalysis | 0.157662701384507 | 0.094107 | 1.6754 | 0.095989 | 0.047995 |
Outcome | -0.11408526054452 | 0.165223 | -0.6905 | 0.490974 | 0.245487 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.241319333815921 |
R-squared | 0.05823502087336 |
Adjusted R-squared | 0.0197956339702318 |
F-TEST (value) | 1.51498308284987 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0.177049706162501 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.485801254836481 |
Sum Squared Residuals | 34.6924203025028 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.306378519524154 | 0.693621480475846 |
2 | 0 | 0.421918185014706 | -0.421918185014706 |
3 | 0 | 0.421918185014706 | -0.421918185014706 |
4 | 0 | 0.421918185014706 | -0.421918185014706 |
5 | 0 | 0.421918185014706 | -0.421918185014706 |
6 | 1 | 0.503339767316363 | 0.496660232683637 |
7 | 0 | 0.421918185014706 | -0.421918185014706 |
8 | 0 | 0.382619638607003 | -0.382619638607003 |
9 | 1 | 0.421918185014706 | 0.578081814985294 |
10 | 0 | 0.345677065931856 | -0.345677065931856 |
11 | 0 | 0.306378519524153 | -0.306378519524153 |
12 | 0 | 0.421918185014706 | -0.421918185014706 |
13 | 0 | 0.677637165594438 | -0.677637165594438 |
14 | 0 | 0.306378519524153 | -0.306378519524153 |
15 | 1 | 0.677637165594438 | 0.322362834405562 |
16 | 1 | 0.638338619186735 | 0.361661380813265 |
17 | 0 | 0.448012239559366 | -0.448012239559366 |
18 | 0 | 0.306378519524153 | -0.306378519524153 |
19 | 1 | 0.421918185014706 | 0.578081814985294 |
20 | 1 | 0.524253358642216 | 0.475746641357784 |
21 | 0 | 0.503339767316363 | -0.503339767316363 |
22 | 1 | 0.601396046511588 | 0.398603953488412 |
23 | 1 | 0.579580886399213 | 0.420419113600787 |
24 | 1 | 0.503339767316363 | 0.496660232683637 |
25 | 1 | 0.480675917802229 | 0.519324082197771 |
26 | 0 | 0.677637165594438 | -0.677637165594438 |
27 | 1 | 0.345677065931856 | 0.654322934068144 |
28 | 0 | 0.519974464209931 | -0.519974464209931 |
29 | 1 | 0.421918185014706 | 0.578081814985294 |
30 | 0 | 0.579580886399213 | -0.579580886399213 |
31 | 0 | 0.421918185014706 | -0.421918185014706 |
32 | 0 | 0.345677065931856 | -0.345677065931856 |
33 | 0 | 0.503339767316363 | -0.503339767316363 |
34 | 1 | 0.382619638607004 | 0.617380361392996 |
35 | 0 | 0.421918185014706 | -0.421918185014706 |
36 | 0 | 0.421918185014706 | -0.421918185014706 |
37 | 0 | 0.562097500103885 | -0.562097500103885 |
38 | 1 | 0.519974464209931 | 0.480025535790069 |
39 | 1 | 0.579580886399213 | 0.420419113600787 |
40 | 0 | 0.54028233999151 | -0.54028233999151 |
41 | 1 | 0.563551905049918 | 0.436448094950082 |
42 | 1 | 0.519974464209931 | 0.480025535790069 |
43 | 1 | 0.503339767316363 | 0.496660232683637 |
44 | 0 | 0.306378519524153 | -0.306378519524153 |
45 | 0 | 0.579580886399213 | -0.579580886399213 |
46 | 1 | 0.579580886399213 | 0.420419113600787 |
47 | 0 | 0.421918185014706 | -0.421918185014706 |
48 | 1 | 0.421918185014706 | 0.578081814985294 |
49 | 1 | 0.579580886399213 | 0.420419113600787 |
50 | 0 | 0.421918185014706 | -0.421918185014706 |
51 | 0 | 0.480675917802228 | -0.480675917802228 |
52 | 0 | 0.448012239559366 | -0.448012239559366 |
53 | 1 | 0.421918185014706 | 0.578081814985294 |
54 | 0 | 0.405889203665412 | -0.405889203665412 |
55 | 0 | 0.421918185014706 | -0.421918185014706 |
56 | 1 | 0.480675917802229 | 0.519324082197771 |
57 | 1 | 0.677637165594438 | 0.322362834405562 |
58 | 1 | 0.421918185014706 | 0.578081814985294 |
59 | 1 | 0.421918185014706 | 0.578081814985294 |
60 | 1 | 0.448012239559366 | 0.551987760440634 |
61 | 1 | 0.306378519524154 | 0.693621480475846 |
62 | 0 | 0.677637165594438 | -0.677637165594438 |
63 | 0 | 0.421918185014706 | -0.421918185014706 |
64 | 1 | 0.306378519524154 | 0.693621480475846 |
65 | 0 | 0.421918185014706 | -0.421918185014706 |
66 | 0 | 0.421918185014706 | -0.421918185014706 |
67 | 0 | 0.524253358642216 | -0.524253358642216 |
68 | 0 | 0.345677065931856 | -0.345677065931856 |
69 | 1 | 0.421918185014706 | 0.578081814985294 |
70 | 0 | 0.519974464209931 | -0.519974464209931 |
71 | 0 | 0.421918185014706 | -0.421918185014706 |
72 | 1 | 0.421918185014706 | 0.578081814985294 |
73 | 1 | 0.519974464209931 | 0.480025535790069 |
74 | 0 | 0.443733345127081 | -0.443733345127081 |
75 | 1 | 0.421918185014706 | 0.578081814985294 |
76 | 1 | 0.54028233999151 | 0.45971766000849 |
77 | 1 | 0.421918185014706 | 0.578081814985294 |
78 | 1 | 0.677637165594438 | 0.322362834405562 |
79 | 1 | 0.366590657257709 | 0.633409342742291 |
80 | 0 | 0.54028233999151 | -0.54028233999151 |
81 | 0 | 0.421918185014706 | -0.421918185014706 |
82 | 1 | 0.443733345127082 | 0.556266654872918 |
83 | 0 | 0.421918185014706 | -0.421918185014706 |
84 | 0 | 0.405889203665412 | -0.405889203665412 |
85 | 1 | 0.579580886399213 | 0.420419113600787 |
86 | 0 | 0.345677065931856 | -0.345677065931856 |
87 | 1 | 0.226572905993182 | 0.773427094006818 |
88 | 1 | 0.285330638780705 | 0.714669361219295 |
89 | 0 | 0.302814025076032 | -0.302814025076032 |
90 | 1 | 0.302814025076032 | 0.697185974923968 |
91 | 0 | 0.460476726460539 | -0.460476726460539 |
92 | 0 | 0.18727435958548 | -0.18727435958548 |
93 | 0 | 0.384235607377689 | -0.384235607377689 |
94 | 0 | 0.302814025076032 | -0.302814025076032 |
95 | 0 | 0.26351547866833 | -0.26351547866833 |
96 | 1 | 0.302814025076032 | 0.697185974923968 |
97 | 0 | 0.18727435958548 | -0.18727435958548 |
98 | 0 | 0.302814025076032 | -0.302814025076032 |
99 | 0 | 0.226572905993183 | -0.226572905993183 |
100 | 1 | 0.302814025076032 | 0.697185974923968 |
101 | 1 | 0.226572905993182 | 0.773427094006818 |
102 | 0 | 0.302814025076032 | -0.302814025076032 |
103 | 0 | 0.302814025076032 | -0.302814025076032 |
104 | 0 | 0.302814025076032 | -0.302814025076032 |
105 | 0 | 0.361571757863555 | -0.361571757863555 |
106 | 0 | 0.302814025076032 | -0.302814025076032 |
107 | 0 | 0.302814025076032 | -0.302814025076032 |
108 | 0 | 0.285330638780705 | -0.285330638780705 |
109 | 0 | 0.302814025076032 | -0.302814025076032 |
110 | 0 | 0.226572905993183 | -0.226572905993183 |
111 | 0 | 0.442993340165212 | -0.442993340165212 |
112 | 0 | 0.26351547866833 | -0.26351547866833 |
113 | 0 | 0.400870304271258 | -0.400870304271258 |
114 | 0 | 0.285330638780705 | -0.285330638780705 |
115 | 0 | 0.226572905993183 | -0.226572905993183 |
116 | 0 | 0.302814025076032 | -0.302814025076032 |
117 | 1 | 0.226572905993182 | 0.773427094006818 |
118 | 0 | 0.226572905993183 | -0.226572905993183 |
119 | 0 | 0.302814025076032 | -0.302814025076032 |
120 | 1 | 0.302814025076032 | 0.697185974923968 |
121 | 0 | 0.226572905993183 | -0.226572905993183 |
122 | 0 | 0.302814025076032 | -0.302814025076032 |
123 | 0 | 0.285330638780705 | -0.285330638780705 |
124 | 1 | 0.558533005655764 | 0.441466994344236 |
125 | 1 | 0.302814025076032 | 0.697185974923968 |
126 | 0 | 0.26351547866833 | -0.26351547866833 |
127 | 0 | 0.460476726460539 | -0.460476726460539 |
128 | 1 | 0.302814025076032 | 0.697185974923968 |
129 | 0 | 0.302814025076032 | -0.302814025076032 |
130 | 1 | 0.302814025076032 | 0.697185974923968 |
131 | 0 | 0.226572905993183 | -0.226572905993183 |
132 | 1 | 0.226572905993182 | 0.773427094006818 |
133 | 0 | 0.324629185188408 | -0.324629185188408 |
134 | 0 | 0.302814025076032 | -0.302814025076032 |
135 | 0 | 0.302814025076032 | -0.302814025076032 |
136 | 0 | 0.302814025076032 | -0.302814025076032 |
137 | 1 | 0.482291886572914 | 0.517708113427086 |
138 | 1 | 0.442993340165212 | 0.557006659834788 |
139 | 0 | 0.26351547866833 | -0.26351547866833 |
140 | 0 | 0.302814025076032 | -0.302814025076032 |
141 | 1 | 0.286785043726738 | 0.713214956273262 |
142 | 1 | 0.361571757863555 | 0.638428242136445 |
143 | 0 | 0.226572905993183 | -0.226572905993183 |
144 | 1 | 0.460476726460539 | 0.539523273539461 |
145 | 0 | 0.460476726460539 | -0.460476726460539 |
146 | 1 | 0.263515478668329 | 0.736484521331671 |
147 | 0 | 0.361571757863555 | -0.361571757863555 |
148 | 0 | 0.26351547866833 | -0.26351547866833 |
149 | 0 | 0.226572905993183 | -0.226572905993183 |
150 | 1 | 0.460476726460539 | 0.539523273539461 |
151 | 1 | 0.302814025076032 | 0.697185974923968 |
152 | 0 | 0.210543924643888 | -0.210543924643888 |
153 | 0 | 0.368206626028395 | -0.368206626028395 |
154 | 0 | 0.324629185188408 | -0.324629185188408 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.846334242843343 | 0.307331514313313 | 0.153665757156657 |
11 | 0.816696502955734 | 0.366606994088531 | 0.183303497044266 |
12 | 0.72132022393174 | 0.557359552136521 | 0.27867977606826 |
13 | 0.616508447083023 | 0.766983105833955 | 0.383491552916977 |
14 | 0.547826489958445 | 0.904347020083111 | 0.452173510041555 |
15 | 0.640680930665337 | 0.718638138669325 | 0.359319069334663 |
16 | 0.575902276707825 | 0.84819544658435 | 0.424097723292175 |
17 | 0.483559525111683 | 0.967119050223366 | 0.516440474888317 |
18 | 0.419712097208218 | 0.839424194416437 | 0.580287902791782 |
19 | 0.580771253895045 | 0.83845749220991 | 0.419228746104955 |
20 | 0.597641526684818 | 0.804716946630364 | 0.402358473315182 |
21 | 0.663310053292154 | 0.673379893415692 | 0.336689946707846 |
22 | 0.658966049481927 | 0.682067901036145 | 0.341033950518073 |
23 | 0.613029050642179 | 0.773941898715642 | 0.386970949357821 |
24 | 0.578058628999606 | 0.843882742000788 | 0.421941371000394 |
25 | 0.604452798144285 | 0.791094403711429 | 0.395547201855715 |
26 | 0.685872137177326 | 0.628255725645347 | 0.314127862822674 |
27 | 0.761978220285241 | 0.476043559429519 | 0.238021779714759 |
28 | 0.733959445214993 | 0.532081109570014 | 0.266040554785007 |
29 | 0.772361822292968 | 0.455276355414064 | 0.227638177707032 |
30 | 0.792017654056502 | 0.415964691886996 | 0.207982345943498 |
31 | 0.7639916497721 | 0.472016700455799 | 0.2360083502279 |
32 | 0.731284169131033 | 0.537431661737935 | 0.268715830868967 |
33 | 0.731672796440599 | 0.536654407118802 | 0.268327203559401 |
34 | 0.743410709190605 | 0.513178581618791 | 0.256589290809395 |
35 | 0.714935804824608 | 0.570128390350784 | 0.285064195175392 |
36 | 0.684739692097812 | 0.630520615804376 | 0.315260307902188 |
37 | 0.717348255217873 | 0.565303489564253 | 0.282651744782127 |
38 | 0.733772990519184 | 0.532454018961633 | 0.266227009480816 |
39 | 0.724931270892866 | 0.550137458214268 | 0.275068729107134 |
40 | 0.738047106206279 | 0.523905787587443 | 0.261952893793721 |
41 | 0.719965757816735 | 0.56006848436653 | 0.280034242183265 |
42 | 0.712559148380705 | 0.57488170323859 | 0.287440851619295 |
43 | 0.720219387451881 | 0.559561225096239 | 0.279780612548119 |
44 | 0.688854969091594 | 0.622290061816813 | 0.311145030908406 |
45 | 0.694158292622182 | 0.611683414755636 | 0.305841707377818 |
46 | 0.689548133237755 | 0.62090373352449 | 0.310451866762245 |
47 | 0.67177759176157 | 0.656444816476861 | 0.32822240823843 |
48 | 0.692817007194174 | 0.614365985611652 | 0.307182992805826 |
49 | 0.681778567007867 | 0.636442865984267 | 0.318221432992133 |
50 | 0.666334842349544 | 0.667330315300912 | 0.333665157650456 |
51 | 0.659352117102981 | 0.681295765794039 | 0.340647882897019 |
52 | 0.658188337688318 | 0.683623324623364 | 0.341811662311682 |
53 | 0.674008952602426 | 0.651982094795148 | 0.325991047397574 |
54 | 0.658106307951505 | 0.683787384096991 | 0.341893692048495 |
55 | 0.644906766970851 | 0.710186466058297 | 0.355093233029149 |
56 | 0.650507159444039 | 0.698985681111922 | 0.349492840555961 |
57 | 0.618898065957655 | 0.76220386808469 | 0.381101934042345 |
58 | 0.635928541102261 | 0.728142917795477 | 0.364071458897738 |
59 | 0.650802469739756 | 0.698395060520487 | 0.349197530260244 |
60 | 0.662719104864242 | 0.674561790271517 | 0.337280895135758 |
61 | 0.704807088052263 | 0.590385823895474 | 0.295192911947737 |
62 | 0.738664121258155 | 0.522671757483691 | 0.261335878741845 |
63 | 0.727080829579074 | 0.545838340841852 | 0.272919170420926 |
64 | 0.763094677591595 | 0.47381064481681 | 0.236905322408405 |
65 | 0.751264294746333 | 0.497471410507334 | 0.248735705253667 |
66 | 0.740140201791689 | 0.519719596416622 | 0.259859798208311 |
67 | 0.743989174753111 | 0.512021650493778 | 0.256010825246889 |
68 | 0.725584679765182 | 0.548830640469635 | 0.274415320234818 |
69 | 0.737405637338355 | 0.525188725323289 | 0.262594362661645 |
70 | 0.74667152999432 | 0.50665694001136 | 0.25332847000568 |
71 | 0.741538678405443 | 0.516922643189114 | 0.258461321594557 |
72 | 0.74959573667732 | 0.500808526645361 | 0.25040426332268 |
73 | 0.742066989050442 | 0.515866021899115 | 0.257933010949558 |
74 | 0.741258020930423 | 0.517483958139153 | 0.258741979069577 |
75 | 0.748121612901743 | 0.503756774196514 | 0.251878387098257 |
76 | 0.739595800168916 | 0.520808399662169 | 0.260404199831084 |
77 | 0.753903834347732 | 0.492192331304536 | 0.246096165652268 |
78 | 0.731570383374311 | 0.536859233251378 | 0.268429616625689 |
79 | 0.775836574443009 | 0.448326851113982 | 0.224163425556991 |
80 | 0.771719631981754 | 0.456560736036491 | 0.228280368018246 |
81 | 0.756742622795175 | 0.48651475440965 | 0.243257377204825 |
82 | 0.77363471997499 | 0.452730560050019 | 0.22636528002501 |
83 | 0.754289088396852 | 0.491421823206297 | 0.245710911603148 |
84 | 0.736607014398814 | 0.526785971202372 | 0.263392985601186 |
85 | 0.736128162588626 | 0.527743674822749 | 0.263871837411374 |
86 | 0.702835440192344 | 0.594329119615313 | 0.297164559807656 |
87 | 0.72510645993539 | 0.549787080129219 | 0.27489354006461 |
88 | 0.754717223264144 | 0.490565553471711 | 0.245282776735856 |
89 | 0.766790236738678 | 0.466419526522643 | 0.233209763261322 |
90 | 0.780384180454654 | 0.439231639090692 | 0.219615819545346 |
91 | 0.803834629260774 | 0.392330741478452 | 0.196165370739226 |
92 | 0.781650650746435 | 0.43669869850713 | 0.218349349253565 |
93 | 0.777650813261159 | 0.444698373477681 | 0.222349186738841 |
94 | 0.758182467293145 | 0.48363506541371 | 0.241817532706855 |
95 | 0.728927999333931 | 0.542144001332139 | 0.271072000666069 |
96 | 0.764592918062039 | 0.470814163875922 | 0.235407081937961 |
97 | 0.730578781665253 | 0.538842436669495 | 0.269421218334747 |
98 | 0.706170537953388 | 0.587658924093224 | 0.293829462046612 |
99 | 0.670180452920369 | 0.659639094159263 | 0.329819547079631 |
100 | 0.712700600411303 | 0.574598799177394 | 0.287299399588697 |
101 | 0.78010096206611 | 0.439798075867781 | 0.21989903793389 |
102 | 0.757791326841175 | 0.484417346317651 | 0.242208673158825 |
103 | 0.733963165077553 | 0.532073669844895 | 0.266036834922447 |
104 | 0.709008383560168 | 0.581983232879665 | 0.290991616439832 |
105 | 0.686345559299945 | 0.62730888140011 | 0.313654440700055 |
106 | 0.659351094532563 | 0.681297810934874 | 0.340648905467437 |
107 | 0.632440985020367 | 0.735118029959266 | 0.367559014979633 |
108 | 0.590766020898519 | 0.818467958202962 | 0.409233979101481 |
109 | 0.562871430613856 | 0.874257138772288 | 0.437128569386144 |
110 | 0.515625588736783 | 0.968748822526434 | 0.484374411263217 |
111 | 0.502659400731997 | 0.994681198536005 | 0.497340599268003 |
112 | 0.463939874327519 | 0.927879748655037 | 0.536060125672481 |
113 | 0.45737526889863 | 0.91475053779726 | 0.54262473110137 |
114 | 0.415602154292525 | 0.831204308585051 | 0.584397845707475 |
115 | 0.367231175543597 | 0.734462351087194 | 0.632768824456403 |
116 | 0.341373309708757 | 0.682746619417514 | 0.658626690291243 |
117 | 0.450002522290717 | 0.900005044581434 | 0.549997477709283 |
118 | 0.395806788066045 | 0.79161357613209 | 0.604193211933955 |
119 | 0.371120159942671 | 0.742240319885341 | 0.628879840057329 |
120 | 0.408220190212113 | 0.816440380424225 | 0.591779809787887 |
121 | 0.353562503128936 | 0.707125006257872 | 0.646437496871064 |
122 | 0.32755673929499 | 0.65511347858998 | 0.67244326070501 |
123 | 0.287247339724233 | 0.574494679448466 | 0.712752660275767 |
124 | 0.250093187713631 | 0.500186375427263 | 0.749906812286369 |
125 | 0.282443227478361 | 0.564886454956723 | 0.717556772521639 |
126 | 0.251931763917339 | 0.503863527834678 | 0.748068236082661 |
127 | 0.278027944351207 | 0.556055888702414 | 0.721972055648793 |
128 | 0.319029023914145 | 0.63805804782829 | 0.680970976085855 |
129 | 0.283145967341544 | 0.566291934683088 | 0.716854032658456 |
130 | 0.334346046304067 | 0.668692092608135 | 0.665653953695933 |
131 | 0.274100847886685 | 0.548201695773371 | 0.725899152113315 |
132 | 0.467196211014409 | 0.934392422028817 | 0.532803788985591 |
133 | 0.404140293496931 | 0.808280586993863 | 0.595859706503069 |
134 | 0.348294900364749 | 0.696589800729497 | 0.651705099635251 |
135 | 0.299536585071874 | 0.599073170143748 | 0.700463414928126 |
136 | 0.261329217952028 | 0.522658435904055 | 0.738670782047972 |
137 | 0.23529897908137 | 0.470597958162741 | 0.76470102091863 |
138 | 0.3365706316299 | 0.6731412632598 | 0.6634293683701 |
139 | 0.299372120051095 | 0.598744240102189 | 0.700627879948905 |
140 | 0.408893192681008 | 0.817786385362016 | 0.591106807318992 |
141 | 0.310497833769746 | 0.620995667539492 | 0.689502166230254 |
142 | 0.374759050511851 | 0.749518101023701 | 0.625240949488149 |
143 | 0.256976210691398 | 0.513952421382797 | 0.743023789308602 |
144 | 0.190927042598109 | 0.381854085196218 | 0.809072957401891 |
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 |