Multiple Linear Regression - Estimated Regression Equation |
UseLimit[t] = -0.213810071598671 + 0.132554010438934Weeks[t] -0.128607933450428T40[t] -0.0840656770554428T20[t] + 0.075387794529008Used[t] -0.0343701246133239CorrectAnalysis[t] + 0.065212162045852Useful[t] + 0.0745616972837747Outcome[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) | -0.213810071598671 | 1.112946 | -0.1921 | 0.847922 | 0.423961 |
Weeks | 0.132554010438934 | 0.362527 | 0.3656 | 0.715164 | 0.357582 |
T40 | -0.128607933450428 | 0.058763 | -2.1886 | 0.030215 | 0.015108 |
T20 | -0.0840656770554428 | 0.137493 | -0.6114 | 0.541874 | 0.270937 |
Used | 0.075387794529008 | 0.0992 | 0.76 | 0.448507 | 0.224254 |
CorrectAnalysis | -0.0343701246133239 | 0.165011 | -0.2083 | 0.835293 | 0.417646 |
Useful | 0.065212162045852 | 0.09094 | 0.7171 | 0.474465 | 0.237233 |
Outcome | 0.0745616972837747 | 0.078823 | 0.9459 | 0.345745 | 0.172873 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.258868448639325 |
R-squared | 0.0670128737009306 |
Adjusted R-squared | 0.0222806142208383 |
F-TEST (value) | 1.49808828080223 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 146 |
p-value | 0.172271071411246 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.464518172871729 |
Sum Squared Residuals | 31.503461407501 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.38391708782596 | 0.61608291217404 |
2 | 0 | 0.201262918208877 | -0.201262918208877 |
3 | 0 | 0.201262918208877 | -0.201262918208877 |
4 | 0 | 0.201262918208877 | -0.201262918208877 |
5 | 0 | 0.201262918208877 | -0.201262918208877 |
6 | 1 | 0.191913382970954 | 0.808086617029046 |
7 | 0 | 0.201262918208877 | -0.201262918208877 |
8 | 0 | 0.458478785109733 | -0.458478785109733 |
9 | 0 | 0.126701220925102 | -0.126701220925102 |
10 | 1 | 0.201262918208877 | 0.798737081791123 |
11 | 1 | 0.458478785109733 | 0.541521214890267 |
12 | 0 | 0.201262918208877 | -0.201262918208877 |
13 | 0 | 0.341862874783737 | -0.341862874783737 |
14 | 1 | 0.458478785109733 | 0.541521214890267 |
15 | 0 | 0.267301177499962 | -0.267301177499962 |
16 | 0 | 0.524517044400818 | -0.524517044400818 |
17 | 1 | 0.564708617071269 | 0.435291382928731 |
18 | 1 | 0.458478785109733 | 0.541521214890267 |
19 | 0 | 0.126701220925102 | -0.126701220925102 |
20 | 0 | 0.490146919787494 | -0.490146919787494 |
21 | 1 | 0.266475080254729 | 0.733524919745271 |
22 | 1 | 0.267301177499962 | 0.732698822500038 |
23 | 0 | 0.191913382970955 | -0.191913382970955 |
24 | 1 | 0.191913382970954 | 0.808086617029046 |
25 | 0 | 0.459304882354966 | -0.459304882354966 |
26 | 0 | 0.341862874783737 | -0.341862874783737 |
27 | 1 | 0.126701220925102 | 0.873298779074898 |
28 | 0 | 0.276650712737885 | -0.276650712737885 |
29 | 0 | 0.126701220925102 | -0.126701220925102 |
30 | 0 | 0.266475080254729 | -0.266475080254729 |
31 | 0 | 0.201262918208877 | -0.201262918208877 |
32 | 1 | 0.201262918208877 | 0.798737081791123 |
33 | 1 | 0.266475080254729 | 0.733524919745271 |
34 | 0 | 0.383917087825958 | -0.383917087825958 |
35 | 0 | 0.201262918208877 | -0.201262918208877 |
36 | 0 | 0.201262918208877 | -0.201262918208877 |
37 | 1 | 0.599078741684593 | 0.400921258315407 |
38 | 0 | 0.20208901545411 | -0.20208901545411 |
39 | 0 | 0.191913382970955 | -0.191913382970955 |
40 | 0 | 0.523690947155585 | -0.523690947155585 |
41 | 0 | 0.232931052886639 | -0.232931052886639 |
42 | 0 | 0.20208901545411 | -0.20208901545411 |
43 | 1 | 0.191913382970954 | 0.808086617029046 |
44 | 1 | 0.458478785109733 | 0.541521214890267 |
45 | 0 | 0.266475080254729 | -0.266475080254729 |
46 | 0 | 0.191913382970955 | -0.191913382970955 |
47 | 0 | 0.201262918208877 | -0.201262918208877 |
48 | 0 | 0.126701220925102 | -0.126701220925102 |
49 | 0 | 0.191913382970955 | -0.191913382970955 |
50 | 0 | 0.201262918208877 | -0.201262918208877 |
51 | 0 | 0.533866579638741 | -0.533866579638741 |
52 | 1 | 0.564708617071269 | 0.435291382928731 |
53 | 0 | 0.126701220925102 | -0.126701220925102 |
54 | 0 | 0.242280588124561 | -0.242280588124561 |
55 | 0 | 0.201262918208877 | -0.201262918208877 |
56 | 0 | 0.459304882354966 | -0.459304882354966 |
57 | 0 | 0.267301177499962 | -0.267301177499962 |
58 | 0 | 0.126701220925102 | -0.126701220925102 |
59 | 0 | 0.126701220925102 | -0.126701220925102 |
60 | 1 | 0.490146919787494 | 0.509853080212506 |
61 | 1 | 0.383917087825958 | 0.616082912174042 |
62 | 0 | 0.341862874783737 | -0.341862874783737 |
63 | 0 | 0.201262918208877 | -0.201262918208877 |
64 | 1 | 0.383917087825958 | 0.616082912174042 |
65 | 0 | 0.201262918208877 | -0.201262918208877 |
66 | 0 | 0.201262918208877 | -0.201262918208877 |
67 | 0 | 0.564708617071269 | -0.564708617071269 |
68 | 1 | 0.201262918208877 | 0.798737081791123 |
69 | 0 | 0.126701220925102 | -0.126701220925102 |
70 | 0 | 0.276650712737885 | -0.276650712737885 |
71 | 0 | 0.201262918208877 | -0.201262918208877 |
72 | 0 | 0.126701220925102 | -0.126701220925102 |
73 | 0 | 0.20208901545411 | -0.20208901545411 |
74 | 1 | 0.276650712737885 | 0.723349287262115 |
75 | 0 | 0.126701220925102 | -0.126701220925102 |
76 | 0 | 0.44912924987181 | -0.44912924987181 |
77 | 0 | 0.126701220925102 | -0.126701220925102 |
78 | 0 | 0.267301177499962 | -0.267301177499962 |
79 | 0 | 0.424934757741642 | -0.424934757741642 |
80 | 0 | 0.523690947155585 | -0.523690947155585 |
81 | 0 | 0.201262918208877 | -0.201262918208877 |
82 | 1 | 0.20208901545411 | 0.79791098454589 |
83 | 0 | 0.201262918208877 | -0.201262918208877 |
84 | 0 | 0.242280588124561 | -0.242280588124561 |
85 | 0 | 0.191913382970955 | -0.191913382970955 |
86 | 1 | 0.201262918208877 | 0.798737081791123 |
87 | 1 | 0.281921585324449 | 0.718078414675551 |
88 | 1 | 0.4413750569089 | 0.5586249430911 |
89 | 0 | 0.356483282608224 | -0.356483282608224 |
90 | 0 | 0.281921585324449 | -0.281921585324449 |
91 | 0 | 0.421695444654076 | -0.421695444654076 |
92 | 1 | 0.440548959663666 | 0.559451040336334 |
93 | 1 | 0.421695444654075 | 0.578304555345925 |
94 | 0 | 0.356483282608224 | -0.356483282608224 |
95 | 0 | 0.440548959663666 | -0.440548959663666 |
96 | 0 | 0.281921585324449 | -0.281921585324449 |
97 | 1 | 0.440548959663666 | 0.559451040336334 |
98 | 0 | 0.356483282608224 | -0.356483282608224 |
99 | 1 | 0.356483282608223 | 0.643516717391777 |
100 | 0 | 0.281921585324449 | -0.281921585324449 |
101 | 1 | 0.281921585324449 | 0.718078414675551 |
102 | 0 | 0.356483282608224 | -0.356483282608224 |
103 | 0 | 0.356483282608224 | -0.356483282608224 |
104 | 0 | 0.356483282608224 | -0.356483282608224 |
105 | 0 | 0.515936754192674 | -0.515936754192674 |
106 | 0 | 0.356483282608224 | -0.356483282608224 |
107 | 0 | 0.356483282608224 | -0.356483282608224 |
108 | 1 | 0.515936754192674 | 0.484063245807326 |
109 | 0 | 0.356483282608224 | -0.356483282608224 |
110 | 1 | 0.356483282608223 | 0.643516717391777 |
111 | 1 | 0.581148916238526 | 0.418851083761474 |
112 | 0 | 0.440548959663666 | -0.440548959663666 |
113 | 0 | 0.431871077137232 | -0.431871077137232 |
114 | 1 | 0.515936754192674 | 0.484063245807326 |
115 | 1 | 0.356483282608223 | 0.643516717391777 |
116 | 0 | 0.356483282608224 | -0.356483282608224 |
117 | 1 | 0.281921585324449 | 0.718078414675551 |
118 | 1 | 0.356483282608223 | 0.643516717391777 |
119 | 0 | 0.356483282608224 | -0.356483282608224 |
120 | 0 | 0.281921585324449 | -0.281921585324449 |
121 | 1 | 0.356483282608223 | 0.643516717391777 |
122 | 0 | 0.356483282608224 | -0.356483282608224 |
123 | 1 | 0.515936754192674 | 0.484063245807326 |
124 | 0 | 0.422521541899309 | -0.422521541899309 |
125 | 0 | 0.281921585324449 | -0.281921585324449 |
126 | 0 | 0.440548959663666 | -0.440548959663666 |
127 | 0 | 0.421695444654076 | -0.421695444654076 |
128 | 0 | 0.281921585324449 | -0.281921585324449 |
129 | 0 | 0.356483282608224 | -0.356483282608224 |
130 | 0 | 0.281921585324449 | -0.281921585324449 |
131 | 1 | 0.356483282608223 | 0.643516717391777 |
132 | 1 | 0.281921585324449 | 0.718078414675551 |
133 | 1 | 0.431871077137232 | 0.568128922862768 |
134 | 0 | 0.356483282608224 | -0.356483282608224 |
135 | 0 | 0.356483282608224 | -0.356483282608224 |
136 | 0 | 0.356483282608224 | -0.356483282608224 |
137 | 1 | 0.422521541899309 | 0.577478458100691 |
138 | 1 | 0.506587218954752 | 0.493412781045248 |
139 | 0 | 0.440548959663666 | -0.440548959663666 |
140 | 0 | 0.356483282608224 | -0.356483282608224 |
141 | 0 | 0.322939255240133 | -0.322939255240133 |
142 | 0 | 0.441375056908899 | -0.441375056908899 |
143 | 1 | 0.356483282608223 | 0.643516717391777 |
144 | 0 | 0.347133747370301 | -0.347133747370301 |
145 | 0 | 0.421695444654076 | -0.421695444654076 |
146 | 0 | 0.365987262379892 | -0.365987262379892 |
147 | 0 | 0.515936754192674 | -0.515936754192674 |
148 | 0 | 0.440548959663666 | -0.440548959663666 |
149 | 1 | 0.356483282608223 | 0.643516717391777 |
150 | 0 | 0.347133747370301 | -0.347133747370301 |
151 | 0 | 0.281921585324449 | -0.281921585324449 |
152 | 1 | 0.397500952523908 | 0.602499047476092 |
153 | 1 | 0.46271311456976 | 0.53728688543024 |
154 | 1 | 0.431871077137232 | 0.568128922862768 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.922207124631954 | 0.155585750736092 | 0.0777928753680461 |
12 | 0.856854151873708 | 0.286291696252584 | 0.143145848126292 |
13 | 0.769567854239821 | 0.460864291520358 | 0.230432145760179 |
14 | 0.713013588600027 | 0.573972822799947 | 0.286986411399973 |
15 | 0.610108096024993 | 0.779783807950014 | 0.389891903975007 |
16 | 0.602601256386826 | 0.794797487226348 | 0.397398743613174 |
17 | 0.506884263695957 | 0.986231472608085 | 0.493115736304043 |
18 | 0.458630178437691 | 0.917260356875382 | 0.541369821562309 |
19 | 0.371674456113436 | 0.743348912226872 | 0.628325543886564 |
20 | 0.435302177521276 | 0.870604355042553 | 0.564697822478724 |
21 | 0.376022975666264 | 0.752045951332529 | 0.623977024333736 |
22 | 0.68756271787284 | 0.62487456425432 | 0.31243728212716 |
23 | 0.760584385042053 | 0.478831229915894 | 0.239415614957947 |
24 | 0.750392313319957 | 0.499215373360086 | 0.249607686680043 |
25 | 0.697070551968346 | 0.605858896063309 | 0.302929448031655 |
26 | 0.64667872509231 | 0.706642549815379 | 0.35332127490769 |
27 | 0.771919811433195 | 0.45616037713361 | 0.228080188566805 |
28 | 0.743410997464965 | 0.513178005070071 | 0.256589002535035 |
29 | 0.699576402863683 | 0.600847194272635 | 0.300423597136317 |
30 | 0.731678905390638 | 0.536642189218725 | 0.268321094609362 |
31 | 0.68817696009675 | 0.6236460798065 | 0.31182303990325 |
32 | 0.770092718500218 | 0.459814562999564 | 0.229907281499782 |
33 | 0.77673276834892 | 0.446534463302159 | 0.22326723165108 |
34 | 0.789359408415279 | 0.421281183169442 | 0.210640591584721 |
35 | 0.757433065454712 | 0.485133869090576 | 0.242566934545288 |
36 | 0.72162229458124 | 0.55675541083752 | 0.27837770541876 |
37 | 0.708196670913736 | 0.583606658172528 | 0.291803329086264 |
38 | 0.670884221831083 | 0.658231556337833 | 0.329115778168917 |
39 | 0.67293004300635 | 0.6541399139873 | 0.32706995699365 |
40 | 0.755525471045665 | 0.488949057908669 | 0.244474528954335 |
41 | 0.715132284879685 | 0.56973543024063 | 0.284867715120315 |
42 | 0.670923910003497 | 0.658152179993006 | 0.329076089996503 |
43 | 0.720604320497377 | 0.558791359005247 | 0.279395679502623 |
44 | 0.727172125413378 | 0.545655749173244 | 0.272827874586622 |
45 | 0.72175952223803 | 0.55648095552394 | 0.27824047776197 |
46 | 0.704315926615827 | 0.591368146768345 | 0.295684073384173 |
47 | 0.667222093244 | 0.665555813512001 | 0.332777906756 |
48 | 0.62388508963402 | 0.75222982073196 | 0.37611491036598 |
49 | 0.597717158017831 | 0.804565683964337 | 0.402282841982169 |
50 | 0.556152891297177 | 0.887694217405646 | 0.443847108702823 |
51 | 0.55073621977834 | 0.898527560443321 | 0.44926378022166 |
52 | 0.551500936997238 | 0.896998126005523 | 0.448499063002762 |
53 | 0.503855253880246 | 0.992289492239507 | 0.496144746119754 |
54 | 0.458011327335396 | 0.916022654670793 | 0.541988672664603 |
55 | 0.416326646031526 | 0.832653292063052 | 0.583673353968474 |
56 | 0.407908145046251 | 0.815816290092503 | 0.592091854953749 |
57 | 0.367014265151153 | 0.734028530302306 | 0.632985734848847 |
58 | 0.323080455942524 | 0.646160911885049 | 0.676919544057476 |
59 | 0.281400041273905 | 0.56280008254781 | 0.718599958726095 |
60 | 0.29065748438204 | 0.58131496876408 | 0.70934251561796 |
61 | 0.317856715530759 | 0.635713431061519 | 0.682143284469241 |
62 | 0.289267342781923 | 0.578534685563845 | 0.710732657218078 |
63 | 0.25472607123001 | 0.50945214246002 | 0.74527392876999 |
64 | 0.30837843247416 | 0.61675686494832 | 0.69162156752584 |
65 | 0.272935718451815 | 0.545871436903629 | 0.727064281548185 |
66 | 0.239755402111835 | 0.47951080422367 | 0.760244597888165 |
67 | 0.251948311140163 | 0.503896622280327 | 0.748051688859837 |
68 | 0.350878684051393 | 0.701757368102786 | 0.649121315948607 |
69 | 0.310732774995822 | 0.621465549991644 | 0.689267225004178 |
70 | 0.292836878066424 | 0.585673756132848 | 0.707163121933576 |
71 | 0.259327324710359 | 0.518654649420718 | 0.740672675289641 |
72 | 0.224662847973554 | 0.449325695947109 | 0.775337152026446 |
73 | 0.208188476734061 | 0.416376953468123 | 0.791811523265939 |
74 | 0.300246901429296 | 0.600493802858593 | 0.699753098570704 |
75 | 0.262760231388233 | 0.525520462776466 | 0.737239768611767 |
76 | 0.274577661552037 | 0.549155323104074 | 0.725422338447963 |
77 | 0.238533523224393 | 0.477067046448787 | 0.761466476775607 |
78 | 0.223914882504447 | 0.447829765008895 | 0.776085117495553 |
79 | 0.198244102132733 | 0.396488204265465 | 0.801755897867267 |
80 | 0.206705959381622 | 0.413411918763245 | 0.793294040618378 |
81 | 0.183356640053977 | 0.366713280107953 | 0.816643359946023 |
82 | 0.242118362913021 | 0.484236725826042 | 0.757881637086979 |
83 | 0.214850814207295 | 0.42970162841459 | 0.785149185792705 |
84 | 0.218415450924361 | 0.436830901848722 | 0.781584549075639 |
85 | 0.221356771123559 | 0.442713542247117 | 0.778643228876441 |
86 | 0.23358610146761 | 0.46717220293522 | 0.76641389853239 |
87 | 0.253251237910068 | 0.506502475820135 | 0.746748762089932 |
88 | 0.237824743964901 | 0.475649487929802 | 0.762175256035099 |
89 | 0.254587727413599 | 0.509175454827199 | 0.745412272586401 |
90 | 0.23115373298208 | 0.462307465964159 | 0.76884626701792 |
91 | 0.220367491962285 | 0.44073498392457 | 0.779632508037715 |
92 | 0.236277276093218 | 0.472554552186436 | 0.763722723906782 |
93 | 0.26544611214568 | 0.53089222429136 | 0.73455388785432 |
94 | 0.246317634868932 | 0.492635269737864 | 0.753682365131068 |
95 | 0.268672768475574 | 0.537345536951149 | 0.731327231524426 |
96 | 0.237706146865053 | 0.475412293730107 | 0.762293853134947 |
97 | 0.273837586110506 | 0.547675172221013 | 0.726162413889494 |
98 | 0.250358475250222 | 0.500716950500443 | 0.749641524749778 |
99 | 0.299990996694725 | 0.599981993389451 | 0.700009003305275 |
100 | 0.267441779640975 | 0.534883559281951 | 0.732558220359025 |
101 | 0.347903816367516 | 0.695807632735032 | 0.652096183632484 |
102 | 0.323717948393016 | 0.647435896786031 | 0.676282051606984 |
103 | 0.299746354511269 | 0.599492709022537 | 0.700253645488731 |
104 | 0.276615876845881 | 0.553231753691762 | 0.723384123154119 |
105 | 0.311529508371781 | 0.623059016743562 | 0.688470491628219 |
106 | 0.28851636694439 | 0.577032733888781 | 0.71148363305561 |
107 | 0.267241359887188 | 0.534482719774376 | 0.732758640112812 |
108 | 0.251774064641019 | 0.503548129282038 | 0.748225935358981 |
109 | 0.232942781173227 | 0.465885562346454 | 0.767057218826773 |
110 | 0.275274715656338 | 0.550549431312675 | 0.724725284343662 |
111 | 0.261270311419067 | 0.522540622838135 | 0.738729688580933 |
112 | 0.248198484804064 | 0.496396969608128 | 0.751801515195936 |
113 | 0.323645186185603 | 0.647290372371207 | 0.676354813814397 |
114 | 0.305865040609427 | 0.611730081218854 | 0.694134959390573 |
115 | 0.351510546320885 | 0.70302109264177 | 0.648489453679115 |
116 | 0.330430594127677 | 0.660861188255353 | 0.669569405872323 |
117 | 0.447849503350516 | 0.895699006701032 | 0.552150496649484 |
118 | 0.507950493885044 | 0.984099012229911 | 0.492049506114956 |
119 | 0.481599143794111 | 0.963198287588222 | 0.518400856205889 |
120 | 0.429042577867292 | 0.858085155734585 | 0.570957422132708 |
121 | 0.495483121716216 | 0.990966243432432 | 0.504516878283784 |
122 | 0.464457714323222 | 0.928915428646443 | 0.535542285676778 |
123 | 0.452228679921999 | 0.904457359843998 | 0.547771320078001 |
124 | 0.51568301936708 | 0.96863396126584 | 0.48431698063292 |
125 | 0.459691275325953 | 0.919382550651907 | 0.540308724674047 |
126 | 0.416796173593164 | 0.833592347186327 | 0.583203826406836 |
127 | 0.396173770230645 | 0.792347540461291 | 0.603826229769355 |
128 | 0.339816473242447 | 0.679632946484894 | 0.660183526757553 |
129 | 0.311920711222877 | 0.623841422445754 | 0.688079288777123 |
130 | 0.262723193210708 | 0.525446386421417 | 0.737276806789292 |
131 | 0.315976699945306 | 0.631953399890612 | 0.684023300054694 |
132 | 0.513714748436045 | 0.97257050312791 | 0.486285251563955 |
133 | 0.454586052763881 | 0.909172105527762 | 0.545413947236119 |
134 | 0.401182355091456 | 0.802364710182912 | 0.598817644908544 |
135 | 0.354979940725893 | 0.709959881451786 | 0.645020059274107 |
136 | 0.320530958791814 | 0.641061917583628 | 0.679469041208186 |
137 | 0.275079976261365 | 0.550159952522731 | 0.724920023738635 |
138 | 0.542473689710011 | 0.915052620579979 | 0.457526310289989 |
139 | 0.446789987430188 | 0.893579974860377 | 0.553210012569812 |
140 | 0.57659564276051 | 0.84680871447898 | 0.42340435723949 |
141 | 0.694073676357598 | 0.611852647284804 | 0.305926323642402 |
142 | 0.573798095137576 | 0.852403809724849 | 0.426201904862424 |
143 | 0.471674883895348 | 0.943349767790696 | 0.528325116104652 |
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 |