Multiple Linear Regression - Estimated Regression Equation |
T40[t] = + 11.8949464377862 -0.146266174900871UseLimit[t] -0.992497706418601T20[t] -0.233350210847497Used[t] -0.083721550340576CorrectAnalysis[t] + 0.0223373004222329Useful[t] -0.0223595190764869`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) | 11.8949464377862 | 0.635498 | 18.7175 | 0 | 0 |
UseLimit | -0.146266174900871 | 0.074368 | -1.9668 | 0.05109 | 0.025545 |
T20 | -0.992497706418601 | 0.013627 | -72.8323 | 0 | 0 |
Used | -0.233350210847497 | 0.086465 | -2.6988 | 0.007775 | 0.003887 |
CorrectAnalysis | -0.083721550340576 | 0.144741 | -0.5784 | 0.563863 | 0.281931 |
Useful | 0.0223373004222329 | 0.083079 | 0.2689 | 0.788408 | 0.394204 |
`Outcome\r` | -0.0223595190764869 | 0.072098 | -0.3101 | 0.756905 | 0.378452 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.987548661070473 |
R-squared | 0.975252357982085 |
Adjusted R-squared | 0.974242250144619 |
F-TEST (value) | 965.493308544861 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.424518198165104 |
Sum Squared Residuals | 26.491707984282 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 2.74114065368763 | -0.741140653687632 |
2 | 3 | 2.86504730951201 | 0.134952690487986 |
3 | 3 | 2.86504730951201 | 0.134952690487989 |
4 | 3 | 2.86504730951201 | 0.134952690487988 |
5 | 3 | 2.86504730951201 | 0.134952690487988 |
6 | 3 | 2.76347795410986 | 0.236522045890139 |
7 | 3 | 2.86504730951201 | 0.134952690487988 |
8 | 2 | 2.86504730951201 | -0.865047309512012 |
9 | 3 | 2.8874068285885 | 0.112593171411501 |
10 | 3 | 2.71878113461114 | 0.281218865388859 |
11 | 2 | 2.71878113461114 | -0.718781134611141 |
12 | 3 | 2.86504730951201 | 0.134952690487988 |
13 | 3 | 2.65403439908675 | 0.345965600913252 |
14 | 2 | 2.71878113461114 | -0.718781134611141 |
15 | 3 | 2.67639391816323 | 0.323606081836765 |
16 | 2 | 2.67639391816323 | -0.676393918163235 |
17 | 2 | 2.4240466738453 | -0.424046673845301 |
18 | 2 | 2.71878113461114 | -0.718781134611141 |
19 | 3 | 2.8874068285885 | 0.112593171411501 |
20 | 2 | 2.59267236782266 | -0.592672367822659 |
21 | 3 | 2.74111843503337 | 0.258881564966626 |
22 | 3 | 2.53012774326236 | 0.469872256737636 |
23 | 3 | 2.90974412901073 | 0.090255870989268 |
24 | 3 | 2.76347795410986 | 0.236522045890139 |
25 | 2 | 2.654056617741 | -0.654056617741002 |
26 | 3 | 2.65403439908675 | 0.345965600913252 |
27 | 3 | 2.74114065368763 | 0.258859346312372 |
28 | 3 | 2.63169709866452 | 0.368302901335485 |
29 | 3 | 2.8874068285885 | 0.112593171411501 |
30 | 3 | 2.88738460993425 | 0.112615390065755 |
31 | 3 | 2.86504730951201 | 0.134952690487988 |
32 | 3 | 2.71878113461114 | 0.281218865388859 |
33 | 3 | 2.74111843503337 | 0.258881564966626 |
34 | 2 | 2.8874068285885 | -0.887406828588499 |
35 | 3 | 2.86504730951201 | 0.134952690487988 |
36 | 3 | 2.86504730951201 | 0.134952690487988 |
37 | 2 | 2.50776822418588 | -0.507768224185877 |
38 | 3 | 2.654056617741 | 0.345943382258998 |
39 | 3 | 2.90974412901073 | 0.090255870989268 |
40 | 2 | 2.88738460993425 | -0.887384609934245 |
41 | 3 | 2.59267236782266 | 0.407327632177341 |
42 | 3 | 2.654056617741 | 0.345943382258998 |
43 | 3 | 2.76347795410986 | 0.236522045890139 |
44 | 2 | 2.71878113461114 | -0.718781134611141 |
45 | 3 | 2.88738460993425 | 0.112615390065755 |
46 | 3 | 2.90974412901073 | 0.090255870989268 |
47 | 3 | 2.86504730951201 | 0.134952690487988 |
48 | 3 | 2.8874068285885 | 0.112593171411501 |
49 | 3 | 2.90974412901073 | 0.090255870989268 |
50 | 3 | 2.86504730951201 | 0.134952690487988 |
51 | 2 | 2.63169709866452 | -0.631697098664515 |
52 | 2 | 2.4240466738453 | -0.424046673845301 |
53 | 3 | 2.8874068285885 | 0.112593171411501 |
54 | 3 | 2.54797554832394 | 0.452024451676061 |
55 | 3 | 2.86504730951201 | 0.134952690487988 |
56 | 2 | 2.654056617741 | -0.654056617741002 |
57 | 3 | 2.67639391816323 | 0.323606081836765 |
58 | 3 | 2.8874068285885 | 0.112593171411501 |
59 | 3 | 2.8874068285885 | 0.112593171411501 |
60 | 2 | 2.44640619292179 | -0.446406192921788 |
61 | 2 | 2.74114065368763 | -0.741140653687628 |
62 | 3 | 2.65403439908675 | 0.345965600913252 |
63 | 3 | 2.86504730951201 | 0.134952690487988 |
64 | 2 | 2.74114065368763 | -0.741140653687628 |
65 | 3 | 2.86504730951201 | 0.134952690487988 |
66 | 3 | 2.86504730951201 | 0.134952690487988 |
67 | 2 | 2.57031284874617 | -0.570312848746172 |
68 | 3 | 2.71878113461114 | 0.281218865388859 |
69 | 3 | 2.8874068285885 | 0.112593171411501 |
70 | 3 | 2.63169709866452 | 0.368302901335485 |
71 | 3 | 2.86504730951201 | 0.134952690487988 |
72 | 3 | 2.8874068285885 | 0.112593171411501 |
73 | 3 | 2.654056617741 | 0.345943382258998 |
74 | 3 | 2.48543092376364 | 0.514569076236356 |
75 | 3 | 2.8874068285885 | 0.112593171411501 |
76 | 2 | 2.90974412901073 | -0.909744129010732 |
77 | 3 | 2.8874068285885 | 0.112593171411501 |
78 | 3 | 2.67639391816323 | 0.323606081836765 |
79 | 2 | 2.57033506740043 | -0.570335067400426 |
80 | 2 | 2.88738460993425 | -0.887384609934245 |
81 | 3 | 2.86504730951201 | 0.134952690487988 |
82 | 3 | 2.50779044284013 | 0.492209557159869 |
83 | 3 | 2.86504730951201 | 0.134952690487988 |
84 | 3 | 2.54797554832394 | 0.452024451676061 |
85 | 3 | 2.90974412901073 | 0.090255870989268 |
86 | 3 | 2.71878113461114 | 0.281218865388859 |
87 | 8 | 7.70362918578064 | 0.296370814219365 |
88 | 8 | 8.46277668135174 | -0.462776681351739 |
89 | 8 | 7.82753584160502 | 0.172464158394981 |
90 | 8 | 7.84989536068151 | 0.150104639318494 |
91 | 8 | 7.84987314202725 | 0.150126857972748 |
92 | 8 | 8.67376737312275 | -0.673767373122749 |
93 | 8 | 7.70360696712638 | 0.296393032873619 |
94 | 8 | 7.82753584160502 | 0.172464158394981 |
95 | 8 | 8.82003354802362 | -0.82003354802362 |
96 | 8 | 7.84989536068151 | 0.150104639318494 |
97 | 8 | 8.67376737312275 | -0.673767373122749 |
98 | 8 | 7.82753584160502 | 0.172464158394981 |
99 | 8 | 7.68126966670415 | 0.318730333295852 |
100 | 8 | 7.84989536068151 | 0.150104639318494 |
101 | 8 | 7.70362918578064 | 0.296370814219365 |
102 | 8 | 7.82753584160502 | 0.172464158394981 |
103 | 8 | 7.82753584160502 | 0.172464158394981 |
104 | 8 | 7.82753584160502 | 0.172464158394981 |
105 | 8 | 8.58668333717612 | -0.586683337176123 |
106 | 8 | 7.82753584160502 | 0.172464158394981 |
107 | 8 | 7.82753584160502 | 0.172464158394981 |
108 | 8 | 8.44041716227525 | -0.440417162275252 |
109 | 8 | 7.82753584160502 | 0.172464158394981 |
110 | 8 | 7.68126966670415 | 0.318730333295852 |
111 | 8 | 8.46275446269749 | -0.462754462697485 |
112 | 8 | 8.82003354802362 | -0.82003354802362 |
113 | 8 | 7.59418563075752 | 0.405814369242478 |
114 | 8 | 8.44041716227525 | -0.440417162275252 |
115 | 8 | 7.68126966670415 | 0.318730333295852 |
116 | 8 | 7.82753584160502 | 0.172464158394981 |
117 | 8 | 7.70362918578064 | 0.296370814219365 |
118 | 8 | 7.68126966670415 | 0.318730333295852 |
119 | 8 | 7.82753584160502 | 0.172464158394981 |
120 | 8 | 7.84989536068151 | 0.150104639318494 |
121 | 8 | 7.68126966670415 | 0.318730333295852 |
122 | 8 | 7.82753584160502 | 0.172464158394981 |
123 | 8 | 8.44041716227525 | -0.440417162275252 |
124 | 8 | 7.63888245025624 | 0.361117549743758 |
125 | 8 | 7.84989536068151 | 0.150104639318494 |
126 | 8 | 8.82003354802362 | -0.82003354802362 |
127 | 8 | 7.84987314202725 | 0.150126857972748 |
128 | 8 | 7.84989536068151 | 0.150104639318494 |
129 | 8 | 7.82753584160502 | 0.172464158394981 |
130 | 8 | 7.84989536068151 | 0.150104639318494 |
131 | 8 | 7.68126966670415 | 0.318730333295852 |
132 | 8 | 7.70362918578064 | 0.296370814219365 |
133 | 8 | 7.44791945585665 | 0.552080544143349 |
134 | 8 | 7.82753584160502 | 0.172464158394981 |
135 | 8 | 7.82753584160502 | 0.172464158394981 |
136 | 8 | 7.82753584160502 | 0.172464158394981 |
137 | 8 | 7.49261627535537 | 0.507383724644629 |
138 | 8 | 8.48511398177397 | -0.485113981773972 |
139 | 8 | 8.82003354802362 | -0.82003354802362 |
140 | 8 | 7.82753584160502 | 0.172464158394981 |
141 | 8 | 7.53282359949343 | 0.467176400506567 |
142 | 8 | 8.60904285625261 | -0.60904285625261 |
143 | 8 | 7.68126966670415 | 0.318730333295852 |
144 | 8 | 7.87223266110374 | 0.127767338896261 |
145 | 8 | 7.84987314202725 | 0.150126857972748 |
146 | 8 | 8.84239306710011 | -0.842393067100107 |
147 | 8 | 8.58668333717612 | -0.586683337176123 |
148 | 8 | 8.82003354802362 | -0.82003354802362 |
149 | 8 | 7.68126966670415 | 0.318730333295852 |
150 | 8 | 7.87223266110374 | 0.127767338896261 |
151 | 8 | 7.84989536068151 | 0.150104639318494 |
152 | 8 | 7.36419790551608 | 0.635802094483925 |
153 | 8 | 7.38653520593831 | 0.613464794061692 |
154 | 8 | 7.44791945585665 | 0.552080544143349 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.921160634052566 | 0.157678731894868 | 0.0788393659474338 |
11 | 0.91466657281233 | 0.17066685437534 | 0.0853334271876702 |
12 | 0.855571602096878 | 0.288856795806245 | 0.144428397903122 |
13 | 0.778765483731679 | 0.442469032536643 | 0.221234516268321 |
14 | 0.744364509551168 | 0.511270980897663 | 0.255635490448832 |
15 | 0.656753328957901 | 0.686493342084198 | 0.343246671042099 |
16 | 0.799767605309474 | 0.400464789381051 | 0.200232394690526 |
17 | 0.73478716514509 | 0.530425669709821 | 0.26521283485491 |
18 | 0.706746511949464 | 0.586506976101072 | 0.293253488050536 |
19 | 0.64835863934479 | 0.70328272131042 | 0.35164136065521 |
20 | 0.635991205676493 | 0.728017588647014 | 0.364008794323507 |
21 | 0.563447925607876 | 0.873104148784249 | 0.436552074392124 |
22 | 0.710966820764379 | 0.578066358471242 | 0.289033179235621 |
23 | 0.673056170663886 | 0.653887658672227 | 0.326943829336114 |
24 | 0.611868692180246 | 0.776262615639508 | 0.388131307819754 |
25 | 0.577766989137238 | 0.844466021725523 | 0.422233010862762 |
26 | 0.517291333269685 | 0.96541733346063 | 0.482708666730315 |
27 | 0.590496084909037 | 0.819007830181925 | 0.409503915090963 |
28 | 0.640089993360007 | 0.719820013279987 | 0.359910006639993 |
29 | 0.593752182086215 | 0.81249563582757 | 0.406247817913785 |
30 | 0.546678132652154 | 0.906643734695692 | 0.453321867347846 |
31 | 0.492054933115378 | 0.984109866230755 | 0.507945066884622 |
32 | 0.491593915626857 | 0.983187831253714 | 0.508406084373143 |
33 | 0.434689123348435 | 0.869378246696871 | 0.565310876651565 |
34 | 0.576628474778584 | 0.846743050442832 | 0.423371525221416 |
35 | 0.525770643211576 | 0.948458713576848 | 0.474229356788424 |
36 | 0.473930128258394 | 0.947860256516788 | 0.526069871741606 |
37 | 0.529976078740858 | 0.940047842518283 | 0.470023921259142 |
38 | 0.55851983454127 | 0.882960330917461 | 0.44148016545873 |
39 | 0.503677688128216 | 0.992644623743567 | 0.496322311871783 |
40 | 0.743014143088247 | 0.513971713823507 | 0.256985856911753 |
41 | 0.790325789795888 | 0.419348420408223 | 0.209674210204112 |
42 | 0.775641438918965 | 0.448717122162071 | 0.224358561081035 |
43 | 0.745505464314964 | 0.508989071370073 | 0.254494535685036 |
44 | 0.792317515023717 | 0.415364969952567 | 0.207682484976283 |
45 | 0.752494248537739 | 0.495011502924522 | 0.247505751462261 |
46 | 0.709269667800038 | 0.581460664399924 | 0.290730332199962 |
47 | 0.67030529866643 | 0.659389402667141 | 0.32969470133357 |
48 | 0.62551170753029 | 0.74897658493942 | 0.37448829246971 |
49 | 0.575980742052359 | 0.848038515895281 | 0.42401925794764 |
50 | 0.531935994636725 | 0.936128010726551 | 0.468064005363275 |
51 | 0.58360999805949 | 0.83278000388102 | 0.41639000194051 |
52 | 0.564916057838994 | 0.870167884322012 | 0.435083942161006 |
53 | 0.517349034676274 | 0.965301930647452 | 0.482650965323726 |
54 | 0.56970667212966 | 0.860586655740679 | 0.43029332787034 |
55 | 0.524850349626658 | 0.950299300746683 | 0.475149650373342 |
56 | 0.583650672821796 | 0.832698654356408 | 0.416349327178204 |
57 | 0.556181858444244 | 0.887636283111512 | 0.443818141555756 |
58 | 0.5093884269116 | 0.9812231461768 | 0.4906115730884 |
59 | 0.462340578057171 | 0.924681156114342 | 0.537659421942829 |
60 | 0.462048162721012 | 0.924096325442024 | 0.537951837278988 |
61 | 0.555622715862915 | 0.888754568274171 | 0.444377284137085 |
62 | 0.530972917238928 | 0.938054165522144 | 0.469027082761072 |
63 | 0.485765241792976 | 0.971530483585952 | 0.514234758207024 |
64 | 0.604061997380884 | 0.791876005238232 | 0.395938002619116 |
65 | 0.559507543971674 | 0.880984912056652 | 0.440492456028326 |
66 | 0.514006357229406 | 0.971987285541189 | 0.485993642770594 |
67 | 0.586687457199288 | 0.826625085601425 | 0.413312542800712 |
68 | 0.581996302948512 | 0.836007394102975 | 0.418003697051487 |
69 | 0.538035275066176 | 0.923929449867648 | 0.461964724933824 |
70 | 0.528042314797897 | 0.943915370404207 | 0.471957685202103 |
71 | 0.481971991400175 | 0.963943982800351 | 0.518028008599825 |
72 | 0.43740588563857 | 0.874811771277141 | 0.56259411436143 |
73 | 0.424447697768756 | 0.848895395537513 | 0.575552302231244 |
74 | 0.459475030559495 | 0.918950061118989 | 0.540524969440505 |
75 | 0.414774492114446 | 0.829548984228891 | 0.585225507885554 |
76 | 0.658336737742757 | 0.683326524514487 | 0.341663262257243 |
77 | 0.618369093575125 | 0.763261812849749 | 0.381630906424875 |
78 | 0.588744331494471 | 0.822511337011058 | 0.411255668505529 |
79 | 0.735775155052125 | 0.52844968989575 | 0.264224844947875 |
80 | 0.933128369646899 | 0.133743260706202 | 0.0668716303531009 |
81 | 0.924281295590842 | 0.151437408818315 | 0.0757187044091575 |
82 | 0.918500449009665 | 0.16299910198067 | 0.0814995509903352 |
83 | 0.914167228956762 | 0.171665542086477 | 0.0858327710432385 |
84 | 0.940788268629389 | 0.118423462741221 | 0.0592117313706105 |
85 | 0.985333123024687 | 0.0293337539506265 | 0.0146668769753132 |
86 | 1 | 0 | 0 |
87 | 1 | 0 | 0 |
88 | 1 | 0 | 0 |
89 | 1 | 0 | 0 |
90 | 1 | 0 | 0 |
91 | 1 | 0 | 0 |
92 | 1 | 0 | 0 |
93 | 1 | 0 | 0 |
94 | 1 | 0 | 0 |
95 | 1 | 0 | 0 |
96 | 1 | 0 | 0 |
97 | 1 | 0 | 0 |
98 | 1 | 0 | 0 |
99 | 1 | 0 | 0 |
100 | 1 | 0 | 0 |
101 | 1 | 0 | 0 |
102 | 1 | 0 | 0 |
103 | 1 | 0 | 0 |
104 | 1 | 0 | 0 |
105 | 1 | 0 | 0 |
106 | 1 | 0 | 0 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
113 | 1 | 0 | 0 |
114 | 1 | 0 | 0 |
115 | 1 | 0 | 0 |
116 | 1 | 0 | 0 |
117 | 1 | 0 | 0 |
118 | 1 | 0 | 0 |
119 | 1 | 0 | 0 |
120 | 1 | 0 | 0 |
121 | 1 | 0 | 0 |
122 | 1 | 0 | 0 |
123 | 1 | 0 | 0 |
124 | 1 | 0 | 0 |
125 | 1 | 2.96439387504748e-323 | 1.48219693752374e-323 |
126 | 1 | 4.93324513106167e-304 | 2.46662256553083e-304 |
127 | 1 | 5.56753702706357e-294 | 2.78376851353178e-294 |
128 | 1 | 1.94954910654633e-307 | 9.74774553273164e-308 |
129 | 1 | 4.95379394242254e-266 | 2.47689697121127e-266 |
130 | 1 | 5.64135324740958e-248 | 2.82067662370479e-248 |
131 | 1 | 2.15549778736244e-231 | 1.07774889368122e-231 |
132 | 1 | 3.64920518586769e-220 | 1.82460259293384e-220 |
133 | 1 | 3.74984150153105e-230 | 1.87492075076553e-230 |
134 | 1 | 3.63467962054265e-197 | 1.81733981027132e-197 |
135 | 1 | 3.11084669511208e-173 | 1.55542334755604e-173 |
136 | 1 | 1.54740060380321e-160 | 7.73700301901605e-161 |
137 | 1 | 1.72984881613518e-157 | 8.64924408067589e-158 |
138 | 1 | 0 | 0 |
139 | 1 | 7.9000517406053e-116 | 3.95002587030265e-116 |
140 | 1 | 3.9152942009723e-102 | 1.95764710048615e-102 |
141 | 1 | 4.19480894432285e-100 | 2.09740447216143e-100 |
142 | 1 | 7.87319634345654e-73 | 3.93659817172827e-73 |
143 | 1 | 1.62215300853832e-62 | 8.11076504269162e-63 |
144 | 1 | 3.13350714643958e-45 | 1.56675357321979e-45 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 59 | 0.437037037037037 | NOK |
5% type I error level | 60 | 0.444444444444444 | NOK |
10% type I error level | 60 | 0.444444444444444 | NOK |