Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = -0.093400143625703 + 0.0754905405287421Weeks[t] + 0.0595662306927637UseLimit[t] -0.03464410412393T40enT20[t] + 0.183043328964344Used[t] + 0.118838445472798Useful[t] + 0.17246002647041Outcome[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) | -0.093400143625703 | 0.119208 | -0.7835 | 0.434591 | 0.217295 |
Weeks | 0.0754905405287421 | 0.0351 | 2.1507 | 0.033131 | 0.016565 |
UseLimit | 0.0595662306927637 | 0.07475 | 0.7969 | 0.426811 | 0.213405 |
T40enT20 | -0.03464410412393 | 0.081837 | -0.4233 | 0.672673 | 0.336337 |
Used | 0.183043328964344 | 0.086679 | 2.1117 | 0.036401 | 0.018201 |
Useful | 0.118838445472798 | 0.070933 | 1.6754 | 0.095989 | 0.047995 |
Outcome | 0.17246002647041 | 0.142971 | 1.2063 | 0.229657 | 0.114828 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.361659226716837 |
R-squared | 0.13079739626942 |
Adjusted R-squared | 0.0953197389742947 |
F-TEST (value) | 3.68675403737526 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0.00192622955824107 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.421767034042103 |
Sum Squared Residuals | 26.1494523576869 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.352322590530898 | -0.352322590530898 |
2 | 0 | 0.208562018489265 | -0.208562018489265 |
3 | 0 | 0.208562018489265 | -0.208562018489265 |
4 | 0 | 0.208562018489265 | -0.208562018489265 |
5 | 0 | 0.208562018489266 | -0.208562018489266 |
6 | 1 | 0.386966694654827 | 0.613033305345173 |
7 | 0 | 0.208562018489265 | -0.208562018489265 |
8 | 0 | 0.173917914365336 | -0.173917914365336 |
9 | 0 | 0.327400463962064 | -0.327400463962064 |
10 | 0 | 0.268128249182029 | -0.268128249182029 |
11 | 0 | 0.233484145058099 | -0.233484145058099 |
12 | 0 | 0.208562018489266 | -0.208562018489266 |
13 | 1 | 0.391605347453609 | 0.608394652546391 |
14 | 0 | 0.233484145058099 | -0.233484145058099 |
15 | 1 | 0.510443792926407 | 0.489556207073593 |
16 | 1 | 0.475799688802477 | 0.524200311197523 |
17 | 1 | 0.588987500492852 | 0.411012499507148 |
18 | 0 | 0.233484145058099 | -0.233484145058099 |
19 | 0 | 0.327400463962064 | -0.327400463962064 |
20 | 1 | 0.648259715272887 | 0.351740284727113 |
21 | 1 | 0.268128249182029 | 0.731871750817971 |
22 | 1 | 0.570010023619171 | 0.429989976380829 |
23 | 1 | 0.327400463962063 | 0.672599536037937 |
24 | 1 | 0.386966694654827 | 0.613033305345173 |
25 | 0 | 0.475799688802477 | -0.475799688802477 |
26 | 1 | 0.391605347453609 | 0.608394652546391 |
27 | 0 | 0.386966694654827 | -0.386966694654827 |
28 | 0 | 0.391605347453609 | -0.391605347453609 |
29 | 0 | 0.327400463962064 | -0.327400463962064 |
30 | 1 | 0.208562018489265 | 0.791437981510735 |
31 | 0 | 0.208562018489266 | -0.208562018489266 |
32 | 0 | 0.268128249182029 | -0.268128249182029 |
33 | 1 | 0.268128249182029 | 0.731871750817971 |
34 | 0 | 0.292756359838134 | -0.292756359838134 |
35 | 0 | 0.208562018489266 | -0.208562018489266 |
36 | 0 | 0.208562018489266 | -0.208562018489266 |
37 | 1 | 0.416527474022443 | 0.583472525977557 |
38 | 0 | 0.510443792926407 | -0.510443792926407 |
39 | 1 | 0.327400463962063 | 0.672599536037937 |
40 | 1 | 0.173917914365335 | 0.826082085634665 |
41 | 1 | 0.682903819396817 | 0.317096180603183 |
42 | 0 | 0.510443792926407 | -0.510443792926407 |
43 | 1 | 0.386966694654827 | 0.613033305345173 |
44 | 0 | 0.233484145058099 | -0.233484145058099 |
45 | 1 | 0.208562018489265 | 0.791437981510735 |
46 | 1 | 0.327400463962063 | 0.672599536037937 |
47 | 0 | 0.208562018489266 | -0.208562018489266 |
48 | 0 | 0.327400463962064 | -0.327400463962064 |
49 | 1 | 0.327400463962063 | 0.672599536037937 |
50 | 0 | 0.208562018489266 | -0.208562018489266 |
51 | 0 | 0.356961243329679 | -0.356961243329679 |
52 | 1 | 0.588987500492852 | 0.411012499507148 |
53 | 0 | 0.327400463962064 | -0.327400463962064 |
54 | 0 | 0.564065373924019 | -0.564065373924019 |
55 | 0 | 0.208562018489266 | -0.208562018489266 |
56 | 0 | 0.475799688802477 | -0.475799688802477 |
57 | 1 | 0.510443792926407 | 0.489556207073593 |
58 | 0 | 0.327400463962064 | -0.327400463962064 |
59 | 0 | 0.327400463962064 | -0.327400463962064 |
60 | 1 | 0.70782594596565 | 0.29217405403435 |
61 | 0 | 0.352322590530897 | -0.352322590530897 |
62 | 1 | 0.391605347453609 | 0.608394652546391 |
63 | 0 | 0.208562018489266 | -0.208562018489266 |
64 | 0 | 0.352322590530897 | -0.352322590530897 |
65 | 0 | 0.208562018489266 | -0.208562018489266 |
66 | 0 | 0.208562018489266 | -0.208562018489266 |
67 | 1 | 0.529421269800089 | 0.470578730199911 |
68 | 0 | 0.268128249182029 | -0.268128249182029 |
69 | 0 | 0.327400463962064 | -0.327400463962064 |
70 | 0 | 0.391605347453609 | -0.391605347453609 |
71 | 0 | 0.208562018489266 | -0.208562018489266 |
72 | 0 | 0.327400463962064 | -0.327400463962064 |
73 | 0 | 0.510443792926407 | -0.510443792926407 |
74 | 0 | 0.451171578146373 | -0.451171578146373 |
75 | 0 | 0.327400463962064 | -0.327400463962064 |
76 | 1 | 0.292756359838133 | 0.707243640161867 |
77 | 0 | 0.327400463962064 | -0.327400463962064 |
78 | 1 | 0.510443792926407 | 0.489556207073593 |
79 | 0 | 0.648259715272887 | -0.648259715272887 |
80 | 1 | 0.173917914365335 | 0.826082085634665 |
81 | 0 | 0.208562018489266 | -0.208562018489266 |
82 | 0 | 0.570010023619171 | -0.570010023619171 |
83 | 0 | 0.208562018489266 | -0.208562018489266 |
84 | 0 | 0.564065373924019 | -0.564065373924019 |
85 | 1 | 0.327400463962063 | 0.672599536037937 |
86 | 0 | 0.268128249182029 | -0.268128249182029 |
87 | 0 | 0.235985613597343 | -0.235985613597343 |
88 | 0 | 0.384384838437757 | -0.384384838437757 |
89 | 0 | 0.0575809374317812 | -0.0575809374317812 |
90 | 0 | 0.176419382904579 | -0.176419382904579 |
91 | 1 | 0.0575809374317811 | 0.942419062568219 |
92 | 0 | 0.082503064000615 | -0.082503064000615 |
93 | 1 | 0.117147168124545 | 0.882852831875455 |
94 | 0 | 0.0575809374317812 | -0.0575809374317812 |
95 | 0 | 0.0229368333078513 | -0.0229368333078513 |
96 | 0 | 0.176419382904579 | -0.176419382904579 |
97 | 0 | 0.082503064000615 | -0.082503064000615 |
98 | 0 | 0.0575809374317812 | -0.0575809374317812 |
99 | 0 | 0.117147168124545 | -0.117147168124545 |
100 | 0 | 0.176419382904579 | -0.176419382904579 |
101 | 0 | 0.235985613597343 | -0.235985613597343 |
102 | 0 | 0.0575809374317812 | -0.0575809374317812 |
103 | 0 | 0.0575809374317812 | -0.0575809374317812 |
104 | 0 | 0.0575809374317812 | -0.0575809374317812 |
105 | 0 | 0.205980162272195 | -0.205980162272195 |
106 | 0 | 0.0575809374317812 | -0.0575809374317812 |
107 | 0 | 0.0575809374317812 | -0.0575809374317812 |
108 | 0 | 0.265546392964959 | -0.265546392964959 |
109 | 0 | 0.0575809374317812 | -0.0575809374317812 |
110 | 0 | 0.117147168124545 | -0.117147168124545 |
111 | 1 | 0.265546392964959 | 0.734453607035041 |
112 | 0 | 0.0229368333078513 | -0.0229368333078513 |
113 | 0 | 0.240624266396125 | -0.240624266396125 |
114 | 0 | 0.265546392964959 | -0.265546392964959 |
115 | 0 | 0.117147168124545 | -0.117147168124545 |
116 | 0 | 0.0575809374317812 | -0.0575809374317812 |
117 | 0 | 0.235985613597343 | -0.235985613597343 |
118 | 0 | 0.117147168124545 | -0.117147168124545 |
119 | 0 | 0.0575809374317812 | -0.0575809374317812 |
120 | 0 | 0.176419382904579 | -0.176419382904579 |
121 | 0 | 0.117147168124545 | -0.117147168124545 |
122 | 0 | 0.0575809374317812 | -0.0575809374317812 |
123 | 0 | 0.265546392964959 | -0.265546392964959 |
124 | 1 | 0.359462711868923 | 0.640537288131077 |
125 | 0 | 0.176419382904579 | -0.176419382904579 |
126 | 0 | 0.0229368333078513 | -0.0229368333078513 |
127 | 1 | 0.0575809374317811 | 0.942419062568219 |
128 | 0 | 0.176419382904579 | -0.176419382904579 |
129 | 0 | 0.0575809374317812 | -0.0575809374317812 |
130 | 0 | 0.176419382904579 | -0.176419382904579 |
131 | 0 | 0.117147168124545 | -0.117147168124545 |
132 | 0 | 0.235985613597343 | -0.235985613597343 |
133 | 0 | 0.300190497088889 | -0.300190497088889 |
134 | 0 | 0.0575809374317812 | -0.0575809374317812 |
135 | 0 | 0.0575809374317812 | -0.0575809374317812 |
136 | 0 | 0.0575809374317812 | -0.0575809374317812 |
137 | 1 | 0.419028942561687 | 0.580971057438313 |
138 | 1 | 0.384384838437757 | 0.615615161562243 |
139 | 0 | 0.0229368333078513 | -0.0229368333078513 |
140 | 0 | 0.0575809374317812 | -0.0575809374317812 |
141 | 0 | 0.531922738339332 | -0.531922738339332 |
142 | 0 | 0.324818607744993 | -0.324818607744993 |
143 | 0 | 0.117147168124545 | -0.117147168124545 |
144 | 1 | 0.176419382904579 | 0.823580617095421 |
145 | 1 | 0.0575809374317811 | 0.942419062568219 |
146 | 0 | 0.141775278780649 | -0.141775278780649 |
147 | 0 | 0.205980162272195 | -0.205980162272195 |
148 | 0 | 0.0229368333078513 | -0.0229368333078513 |
149 | 0 | 0.117147168124545 | -0.117147168124545 |
150 | 1 | 0.176419382904579 | 0.823580617095421 |
151 | 0 | 0.176419382904579 | -0.176419382904579 |
152 | 0 | 0.472650523559298 | -0.472650523559298 |
153 | 1 | 0.472650523559298 | 0.527349476440702 |
154 | 0 | 0.300190497088889 | -0.300190497088889 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.560759916427383 | 0.878480167145234 | 0.439240083572617 |
11 | 0.391490061645863 | 0.782980123291727 | 0.608509938354137 |
12 | 0.254032645080736 | 0.508065290161473 | 0.745967354919264 |
13 | 0.158105349590312 | 0.316210699180625 | 0.841894650409688 |
14 | 0.0911810606661816 | 0.182362121332363 | 0.908818939333818 |
15 | 0.0587980553572948 | 0.11759611071459 | 0.941201944642705 |
16 | 0.0347975641816977 | 0.0695951283633953 | 0.965202435818302 |
17 | 0.0182139746772219 | 0.0364279493544438 | 0.981786025322778 |
18 | 0.00911255934694604 | 0.0182251186938921 | 0.990887440653054 |
19 | 0.00591667520243211 | 0.0118333504048642 | 0.994083324797568 |
20 | 0.0029526770127267 | 0.0059053540254534 | 0.997047322987273 |
21 | 0.0273577274189986 | 0.0547154548379972 | 0.972642272581001 |
22 | 0.0359076999713563 | 0.0718153999427126 | 0.964092300028644 |
23 | 0.13156386411968 | 0.26312772823936 | 0.86843613588032 |
24 | 0.137670168732317 | 0.275340337464635 | 0.862329831267683 |
25 | 0.210526069987268 | 0.421052139974535 | 0.789473930012732 |
26 | 0.193915712735788 | 0.387831425471575 | 0.806084287264212 |
27 | 0.268306385013793 | 0.536612770027587 | 0.731693614986207 |
28 | 0.389161268871233 | 0.778322537742465 | 0.610838731128767 |
29 | 0.35779428480676 | 0.715588569613521 | 0.64220571519324 |
30 | 0.575784310765455 | 0.848431378469089 | 0.424215689234545 |
31 | 0.521491867901598 | 0.957016264196804 | 0.478508132098402 |
32 | 0.505895141693565 | 0.988209716612871 | 0.494104858306435 |
33 | 0.585117730564259 | 0.829764538871482 | 0.414882269435741 |
34 | 0.534383185324997 | 0.931233629350007 | 0.465616814675003 |
35 | 0.482524782646517 | 0.965049565293034 | 0.517475217353483 |
36 | 0.430904580354658 | 0.861809160709316 | 0.569095419645342 |
37 | 0.436026554753045 | 0.87205310950609 | 0.563973445246955 |
38 | 0.559244532276364 | 0.881510935447272 | 0.440755467723636 |
39 | 0.66638264377491 | 0.667234712450181 | 0.33361735622509 |
40 | 0.854111913460398 | 0.291776173079205 | 0.145888086539602 |
41 | 0.83123541233276 | 0.337529175334481 | 0.16876458766724 |
42 | 0.861348855410255 | 0.277302289179489 | 0.138651144589745 |
43 | 0.879828216498646 | 0.240343567002707 | 0.120171783501354 |
44 | 0.860433683318117 | 0.279132633363767 | 0.139566316681883 |
45 | 0.920596943123772 | 0.158806113752456 | 0.0794030568762278 |
46 | 0.946284793676281 | 0.107430412647439 | 0.0537152063237193 |
47 | 0.934551632061102 | 0.130896735877796 | 0.0654483679388981 |
48 | 0.926600441600165 | 0.14679911679967 | 0.0733995583998348 |
49 | 0.950991353024453 | 0.0980172939510946 | 0.0490086469755473 |
50 | 0.939923939341342 | 0.120152121317316 | 0.060076060658658 |
51 | 0.931847764528901 | 0.136304470942198 | 0.0681522354710988 |
52 | 0.929016167129939 | 0.141967665740121 | 0.0709838328700606 |
53 | 0.921504769064263 | 0.156990461871474 | 0.0784952309357371 |
54 | 0.946744127984167 | 0.106511744031666 | 0.053255872015833 |
55 | 0.934128861667178 | 0.131742276665645 | 0.0658711383328224 |
56 | 0.93493386166244 | 0.130132276675121 | 0.0650661383375605 |
57 | 0.939034619820151 | 0.121930760359699 | 0.0609653801798494 |
58 | 0.931373231869815 | 0.137253536260371 | 0.0686267681301853 |
59 | 0.922479361851958 | 0.155041276296084 | 0.0775206381480418 |
60 | 0.919158375260388 | 0.161683249479223 | 0.0808416247396116 |
61 | 0.910573614521187 | 0.178852770957626 | 0.0894263854788129 |
62 | 0.929877471679122 | 0.140245056641756 | 0.0701225283208779 |
63 | 0.914736552146546 | 0.170526895706909 | 0.0852634478534545 |
64 | 0.904435425329159 | 0.191129149341682 | 0.095564574670841 |
65 | 0.885677126485442 | 0.228645747029116 | 0.114322873514558 |
66 | 0.864422859607045 | 0.27115428078591 | 0.135577140392955 |
67 | 0.88834599364604 | 0.223308012707919 | 0.11165400635396 |
68 | 0.877636462842 | 0.244727074316 | 0.122363537158 |
69 | 0.8628278117643 | 0.2743443764714 | 0.1371721882357 |
70 | 0.861974333647641 | 0.276051332704718 | 0.138025666352359 |
71 | 0.837981269251658 | 0.324037461496684 | 0.162018730748342 |
72 | 0.821784503300073 | 0.356430993399854 | 0.178215496699927 |
73 | 0.83951518085177 | 0.32096963829646 | 0.16048481914823 |
74 | 0.855036974470142 | 0.289926051059716 | 0.144963025529858 |
75 | 0.845147568182069 | 0.309704863635861 | 0.154852431817931 |
76 | 0.901299286600201 | 0.197401426799597 | 0.0987007133997986 |
77 | 0.892638209614509 | 0.214723580770982 | 0.107361790385491 |
78 | 0.898719153293246 | 0.202561693413507 | 0.101280846706754 |
79 | 0.913556196309757 | 0.172887607380486 | 0.086443803690243 |
80 | 0.965420821898368 | 0.0691583562032638 | 0.0345791781016319 |
81 | 0.95613951139436 | 0.087720977211279 | 0.0438604886056395 |
82 | 0.96311926908663 | 0.0737614618267401 | 0.0368807309133701 |
83 | 0.955223398950408 | 0.0895532020991847 | 0.0447766010495923 |
84 | 0.961651602029018 | 0.076696795941963 | 0.0383483979709815 |
85 | 0.974545306189362 | 0.0509093876212759 | 0.025454693810638 |
86 | 0.967731321505811 | 0.0645373569883785 | 0.0322686784941893 |
87 | 0.959721312385116 | 0.0805573752297676 | 0.0402786876148838 |
88 | 0.953553599013296 | 0.0928928019734071 | 0.0464464009867036 |
89 | 0.942643662560035 | 0.11471267487993 | 0.057356337439965 |
90 | 0.930412484288581 | 0.139175031422839 | 0.0695875157114193 |
91 | 0.977816115243151 | 0.0443677695136989 | 0.0221838847568494 |
92 | 0.970504513338576 | 0.0589909733228476 | 0.0294954866614238 |
93 | 0.99059806760843 | 0.0188038647831394 | 0.0094019323915697 |
94 | 0.987110799501296 | 0.0257784009974089 | 0.0128892004987044 |
95 | 0.982351144318054 | 0.0352977113638927 | 0.0176488556819464 |
96 | 0.978132375932096 | 0.0437352481358077 | 0.0218676240679038 |
97 | 0.97094819047439 | 0.0581036190512194 | 0.0290518095256097 |
98 | 0.961615119173454 | 0.0767697616530926 | 0.0383848808265463 |
99 | 0.950372634627316 | 0.0992547307453678 | 0.0496273653726839 |
100 | 0.940504288194354 | 0.118991423611292 | 0.0594957118056459 |
101 | 0.930534597555692 | 0.138930804888615 | 0.0694654024443077 |
102 | 0.911672420058123 | 0.176655159883755 | 0.0883275799418774 |
103 | 0.889151461469843 | 0.221697077060315 | 0.110848538530157 |
104 | 0.862698017711121 | 0.274603964577757 | 0.137301982288879 |
105 | 0.839353938649991 | 0.321292122700019 | 0.160646061350009 |
106 | 0.805513823874192 | 0.388972352251617 | 0.194486176125808 |
107 | 0.767571469233409 | 0.464857061533181 | 0.232428530766591 |
108 | 0.738275006422879 | 0.523449987154243 | 0.261724993577121 |
109 | 0.693531574368489 | 0.612936851263023 | 0.306468425631511 |
110 | 0.646006500443902 | 0.707986999112197 | 0.353993499556098 |
111 | 0.766798533034658 | 0.466402933930684 | 0.233201466965342 |
112 | 0.722385605837708 | 0.555228788324585 | 0.277614394162292 |
113 | 0.707940749391792 | 0.584118501216417 | 0.292059250608208 |
114 | 0.666817816933508 | 0.666364366132984 | 0.333182183066492 |
115 | 0.614475137512058 | 0.771049724975884 | 0.385524862487942 |
116 | 0.562412128313824 | 0.875175743372351 | 0.437587871686176 |
117 | 0.521714888475676 | 0.956570223048647 | 0.478285111524324 |
118 | 0.465395615153074 | 0.930791230306149 | 0.534604384846926 |
119 | 0.411369007333678 | 0.822738014667355 | 0.588630992666322 |
120 | 0.381753067463531 | 0.763506134927063 | 0.618246932536469 |
121 | 0.32837831913118 | 0.65675663826236 | 0.67162168086882 |
122 | 0.28045727765514 | 0.560914555310279 | 0.71954272234486 |
123 | 0.238751827852211 | 0.477503655704423 | 0.761248172147789 |
124 | 0.255782042674757 | 0.511564085349514 | 0.744217957325243 |
125 | 0.228960039405893 | 0.457920078811787 | 0.771039960594107 |
126 | 0.182576332295582 | 0.365152664591164 | 0.817423667704418 |
127 | 0.3476691910856 | 0.695338382171199 | 0.6523308089144 |
128 | 0.317908827030845 | 0.63581765406169 | 0.682091172969155 |
129 | 0.259966446232604 | 0.519932892465209 | 0.740033553767396 |
130 | 0.2433708865649 | 0.4867417731298 | 0.7566291134351 |
131 | 0.196680364794002 | 0.393360729588003 | 0.803319635205998 |
132 | 0.233855549954427 | 0.467711099908855 | 0.766144450045573 |
133 | 0.204873008176459 | 0.409746016352918 | 0.795126991823541 |
134 | 0.156449087244064 | 0.312898174488129 | 0.843550912755936 |
135 | 0.116273364266035 | 0.23254672853207 | 0.883726635733965 |
136 | 0.0845257586505809 | 0.169051517301162 | 0.915474241349419 |
137 | 0.0702399803054619 | 0.140479960610924 | 0.929760019694538 |
138 | 0.168952320037663 | 0.337904640075327 | 0.831047679962337 |
139 | 0.115337464810927 | 0.230674929621854 | 0.884662535189073 |
140 | 0.146164694957827 | 0.292329389915653 | 0.853835305042173 |
141 | 0.319978498620821 | 0.639956997241642 | 0.680021501379179 |
142 | 0.224906780106748 | 0.449813560213495 | 0.775093219893252 |
143 | 0.137843416913187 | 0.275686833826373 | 0.862156583086813 |
144 | 0.107935526110512 | 0.215871052221023 | 0.892064473889489 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 1 | 0.00740740740740741 | OK |
5% type I error level | 9 | 0.0666666666666667 | NOK |
10% type I error level | 26 | 0.192592592592593 | NOK |