Multiple Linear Regression - Estimated Regression Equation |
Outcome[t] = -0.287405368731535 + 0.152860749153263Weeks[t] -0.0889992852558007UseLimit[t] + 0.0748166221064376T40enT20[t] + 0.104227139398114Used[t] -0.155823496430921CorrectAnalysis[t] + 0.153259553448608Useful[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) | -0.287405368731535 | 0.601965 | -0.4774 | 0.633754 | 0.316877 |
Weeks | 0.152860749153263 | 0.124575 | 1.2271 | 0.221762 | 0.110881 |
UseLimit | -0.0889992852558007 | 0.085057 | -1.0464 | 0.297117 | 0.148558 |
T40enT20 | 0.0748166221064376 | 0.094033 | 0.7956 | 0.427524 | 0.213762 |
Used | 0.104227139398114 | 0.100324 | 1.0389 | 0.300557 | 0.150278 |
CorrectAnalysis | -0.155823496430921 | 0.171848 | -0.9068 | 0.366023 | 0.183011 |
Useful | 0.153259553448608 | 0.094185 | 1.6272 | 0.105831 | 0.052915 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.247314645258534 |
R-squared | 0.0611645337593548 |
Adjusted R-squared | 0.0228447188107569 |
F-TEST (value) | 1.59615942408388 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0.152154215855867 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.485045084488399 |
Sum Squared Residuals | 34.5845038959947 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.384671586838591 | 0.615328413161409 |
2 | 0 | 0.398854249987953 | -0.398854249987953 |
3 | 0 | 0.398854249987954 | -0.398854249987954 |
4 | 0 | 0.398854249987953 | -0.398854249987953 |
5 | 0 | 0.398854249987954 | -0.398854249987954 |
6 | 1 | 0.463114518180761 | 0.536885481819239 |
7 | 0 | 0.398854249987954 | -0.398854249987954 |
8 | 0 | 0.473670872094391 | -0.473670872094391 |
9 | 1 | 0.398854249987954 | 0.601145750012046 |
10 | 0 | 0.309854964732153 | -0.309854964732153 |
11 | 0 | 0.384671586838591 | -0.384671586838591 |
12 | 0 | 0.398854249987954 | -0.398854249987954 |
13 | 0 | 0.656340942834675 | -0.656340942834675 |
14 | 0 | 0.384671586838591 | -0.384671586838591 |
15 | 1 | 0.656340942834675 | 0.343659057165325 |
16 | 1 | 0.731157564941113 | 0.268842435058887 |
17 | 0 | 0.486334783254391 | -0.486334783254391 |
18 | 0 | 0.384671586838591 | -0.384671586838591 |
19 | 1 | 0.398854249987954 | 0.601145750012046 |
20 | 1 | 0.575334068510192 | 0.424665931489808 |
21 | 0 | 0.46311451818076 | -0.46311451818076 |
22 | 1 | 0.567341657578875 | 0.432658342421125 |
23 | 1 | 0.552113803436561 | 0.447886196563439 |
24 | 1 | 0.463114518180761 | 0.536885481819239 |
25 | 1 | 0.577898011492505 | 0.422101988507495 |
26 | 0 | 0.656340942834675 | -0.656340942834675 |
27 | 1 | 0.309854964732153 | 0.690145035267847 |
28 | 0 | 0.503081389386068 | -0.503081389386068 |
29 | 1 | 0.398854249987954 | 0.601145750012046 |
30 | 0 | 0.552113803436561 | -0.552113803436561 |
31 | 0 | 0.398854249987954 | -0.398854249987954 |
32 | 0 | 0.309854964732153 | -0.309854964732153 |
33 | 0 | 0.46311451818076 | -0.46311451818076 |
34 | 1 | 0.473670872094391 | 0.526329127905609 |
35 | 0 | 0.398854249987954 | -0.398854249987954 |
36 | 0 | 0.398854249987954 | -0.398854249987954 |
37 | 0 | 0.642158279685312 | -0.642158279685312 |
38 | 1 | 0.503081389386068 | 0.496918610613932 |
39 | 1 | 0.552113803436561 | 0.447886196563439 |
40 | 0 | 0.626930425542999 | -0.626930425542999 |
41 | 1 | 0.500517446403754 | 0.499482553596246 |
42 | 1 | 0.503081389386068 | 0.496918610613932 |
43 | 1 | 0.463114518180761 | 0.536885481819239 |
44 | 0 | 0.384671586838591 | -0.384671586838591 |
45 | 0 | 0.552113803436561 | -0.552113803436561 |
46 | 1 | 0.552113803436561 | 0.447886196563439 |
47 | 0 | 0.398854249987954 | -0.398854249987954 |
48 | 1 | 0.398854249987954 | 0.601145750012046 |
49 | 1 | 0.552113803436561 | 0.447886196563439 |
50 | 0 | 0.398854249987954 | -0.398854249987954 |
51 | 0 | 0.577898011492506 | -0.577898011492506 |
52 | 0 | 0.486334783254391 | -0.486334783254391 |
53 | 1 | 0.398854249987954 | 0.601145750012046 |
54 | 0 | 0.347257892955147 | -0.347257892955147 |
55 | 0 | 0.398854249987954 | -0.398854249987954 |
56 | 1 | 0.577898011492505 | 0.422101988507495 |
57 | 1 | 0.656340942834675 | 0.343659057165325 |
58 | 1 | 0.398854249987954 | 0.601145750012046 |
59 | 1 | 0.398854249987954 | 0.601145750012046 |
60 | 1 | 0.486334783254391 | 0.513665216745609 |
61 | 1 | 0.384671586838591 | 0.615328413161409 |
62 | 0 | 0.656340942834675 | -0.656340942834675 |
63 | 0 | 0.398854249987954 | -0.398854249987954 |
64 | 1 | 0.384671586838591 | 0.615328413161409 |
65 | 0 | 0.398854249987954 | -0.398854249987954 |
66 | 0 | 0.398854249987954 | -0.398854249987954 |
67 | 0 | 0.575334068510192 | -0.575334068510192 |
68 | 0 | 0.309854964732153 | -0.309854964732153 |
69 | 1 | 0.398854249987954 | 0.601145750012046 |
70 | 0 | 0.503081389386068 | -0.503081389386068 |
71 | 0 | 0.398854249987954 | -0.398854249987954 |
72 | 1 | 0.398854249987954 | 0.601145750012046 |
73 | 1 | 0.503081389386068 | 0.496918610613932 |
74 | 0 | 0.414082104130267 | -0.414082104130267 |
75 | 1 | 0.398854249987954 | 0.601145750012046 |
76 | 1 | 0.626930425542999 | 0.373069574457001 |
77 | 1 | 0.398854249987954 | 0.601145750012046 |
78 | 1 | 0.656340942834675 | 0.343659057165325 |
79 | 1 | 0.422074515061585 | 0.577925484938415 |
80 | 0 | 0.626930425542999 | -0.626930425542999 |
81 | 0 | 0.398854249987954 | -0.398854249987954 |
82 | 1 | 0.414082104130267 | 0.585917895869733 |
83 | 0 | 0.398854249987954 | -0.398854249987954 |
84 | 0 | 0.347257892955147 | -0.347257892955147 |
85 | 1 | 0.552113803436561 | 0.447886196563439 |
86 | 0 | 0.309854964732153 | -0.309854964732153 |
87 | 1 | 0.22858333274494 | 0.77141666725506 |
88 | 1 | 0.257993850036617 | 0.742006149963383 |
89 | 0 | 0.317582618000741 | -0.317582618000741 |
90 | 1 | 0.317582618000741 | 0.682417381999259 |
91 | 0 | 0.470842171449349 | -0.470842171449349 |
92 | 0 | 0.153766710638503 | -0.153766710638503 |
93 | 0 | 0.381842886193548 | -0.381842886193548 |
94 | 0 | 0.317582618000741 | -0.317582618000741 |
95 | 0 | 0.242765995894304 | -0.242765995894304 |
96 | 1 | 0.317582618000741 | 0.682417381999259 |
97 | 0 | 0.153766710638503 | -0.153766710638503 |
98 | 0 | 0.317582618000741 | -0.317582618000741 |
99 | 0 | 0.22858333274494 | -0.22858333274494 |
100 | 1 | 0.317582618000741 | 0.682417381999259 |
101 | 1 | 0.22858333274494 | 0.77141666725506 |
102 | 0 | 0.317582618000741 | -0.317582618000741 |
103 | 0 | 0.317582618000741 | -0.317582618000741 |
104 | 0 | 0.317582618000741 | -0.317582618000741 |
105 | 0 | 0.346993135292418 | -0.346993135292418 |
106 | 0 | 0.317582618000741 | -0.317582618000741 |
107 | 0 | 0.317582618000741 | -0.317582618000741 |
108 | 0 | 0.257993850036617 | -0.257993850036617 |
109 | 0 | 0.317582618000741 | -0.317582618000741 |
110 | 0 | 0.22858333274494 | -0.22858333274494 |
111 | 0 | 0.411253403485224 | -0.411253403485224 |
112 | 0 | 0.242765995894304 | -0.242765995894304 |
113 | 0 | 0.421809757398855 | -0.421809757398855 |
114 | 0 | 0.257993850036617 | -0.257993850036617 |
115 | 0 | 0.22858333274494 | -0.22858333274494 |
116 | 0 | 0.317582618000741 | -0.317582618000741 |
117 | 1 | 0.22858333274494 | 0.77141666725506 |
118 | 0 | 0.22858333274494 | -0.22858333274494 |
119 | 0 | 0.317582618000741 | -0.317582618000741 |
120 | 1 | 0.317582618000741 | 0.682417381999259 |
121 | 0 | 0.22858333274494 | -0.22858333274494 |
122 | 0 | 0.317582618000741 | -0.317582618000741 |
123 | 0 | 0.257993850036617 | -0.257993850036617 |
124 | 1 | 0.575069310847463 | 0.424930689152537 |
125 | 1 | 0.317582618000741 | 0.682417381999259 |
126 | 0 | 0.242765995894304 | -0.242765995894304 |
127 | 0 | 0.470842171449349 | -0.470842171449349 |
128 | 1 | 0.317582618000741 | 0.682417381999259 |
129 | 0 | 0.317582618000741 | -0.317582618000741 |
130 | 1 | 0.317582618000741 | 0.682417381999259 |
131 | 0 | 0.22858333274494 | -0.22858333274494 |
132 | 1 | 0.22858333274494 | 0.77141666725506 |
133 | 0 | 0.332810472143055 | -0.332810472143055 |
134 | 0 | 0.317582618000741 | -0.317582618000741 |
135 | 0 | 0.317582618000741 | -0.317582618000741 |
136 | 0 | 0.317582618000741 | -0.317582618000741 |
137 | 1 | 0.486070025591662 | 0.513929974408338 |
138 | 1 | 0.411253403485224 | 0.588746596514776 |
139 | 0 | 0.242765995894304 | -0.242765995894304 |
140 | 0 | 0.317582618000741 | -0.317582618000741 |
141 | 1 | 0.265986260967934 | 0.734013739032066 |
142 | 1 | 0.346993135292418 | 0.653006864707582 |
143 | 0 | 0.22858333274494 | -0.22858333274494 |
144 | 1 | 0.470842171449349 | 0.529157828550651 |
145 | 0 | 0.470842171449349 | -0.470842171449349 |
146 | 1 | 0.242765995894304 | 0.757234004105696 |
147 | 0 | 0.346993135292418 | -0.346993135292418 |
148 | 0 | 0.242765995894304 | -0.242765995894304 |
149 | 0 | 0.22858333274494 | -0.22858333274494 |
150 | 1 | 0.470842171449349 | 0.529157828550651 |
151 | 1 | 0.317582618000741 | 0.682417381999259 |
152 | 0 | 0.176986975712134 | -0.176986975712134 |
153 | 0 | 0.330246529160741 | -0.330246529160741 |
154 | 0 | 0.332810472143055 | -0.332810472143055 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.846658840413177 | 0.306682319173646 | 0.153341159586823 |
11 | 0.817858574463194 | 0.364282851073611 | 0.182141425536806 |
12 | 0.72249354846623 | 0.55501290306754 | 0.27750645153377 |
13 | 0.617114483288328 | 0.765771033423344 | 0.382885516711672 |
14 | 0.550016467884288 | 0.899967064231423 | 0.449983532115712 |
15 | 0.643405055975281 | 0.713189888049439 | 0.356594944024719 |
16 | 0.577304092348362 | 0.845391815303277 | 0.422695907651638 |
17 | 0.486221305969461 | 0.972442611938922 | 0.513778694030539 |
18 | 0.424502615461357 | 0.849005230922715 | 0.575497384538643 |
19 | 0.586817885094664 | 0.826364229810673 | 0.413182114905336 |
20 | 0.602279570968503 | 0.795440858062994 | 0.397720429031497 |
21 | 0.666737647256564 | 0.666524705486873 | 0.333262352743436 |
22 | 0.663380554113419 | 0.673238891773162 | 0.336619445886581 |
23 | 0.61873355852807 | 0.762532882943861 | 0.38126644147193 |
24 | 0.585752880916041 | 0.828494238167918 | 0.414247119083959 |
25 | 0.608316433886161 | 0.783367132227678 | 0.391683566113839 |
26 | 0.688437109063827 | 0.623125781872346 | 0.311562890936173 |
27 | 0.765855534761835 | 0.468288930476331 | 0.234144465238165 |
28 | 0.737546836383098 | 0.524906327233803 | 0.262453163616902 |
29 | 0.776826251565733 | 0.446347496868534 | 0.223173748434267 |
30 | 0.794818091389754 | 0.410363817220492 | 0.205181908610246 |
31 | 0.766162518823975 | 0.467674962352051 | 0.233837481176025 |
32 | 0.732491677905997 | 0.535016644188005 | 0.267508322094003 |
33 | 0.730610199371864 | 0.538779601256272 | 0.269389800628136 |
34 | 0.736766540172803 | 0.526466919654394 | 0.263233459827197 |
35 | 0.706901807330334 | 0.586196385339331 | 0.293098192669666 |
36 | 0.675192501122732 | 0.649614997754536 | 0.324807498877268 |
37 | 0.713329336449546 | 0.573341327100908 | 0.286670663550454 |
38 | 0.730901491229878 | 0.538197017540244 | 0.269098508770122 |
39 | 0.723342383090781 | 0.553315233818437 | 0.276657616909219 |
40 | 0.743407810827792 | 0.513184378344416 | 0.256592189172208 |
41 | 0.729555279079496 | 0.540889441841008 | 0.270444720920504 |
42 | 0.722765829535055 | 0.554468340929891 | 0.277234170464945 |
43 | 0.733220870298781 | 0.533558259402439 | 0.266779129701219 |
44 | 0.708312129233276 | 0.583375741533447 | 0.291687870766724 |
45 | 0.710118246318098 | 0.579763507363804 | 0.289881753681902 |
46 | 0.708233849865573 | 0.583532300268854 | 0.291766150134427 |
47 | 0.689366961526505 | 0.62126607694699 | 0.310633038473495 |
48 | 0.7123614699446 | 0.575277060110799 | 0.2876385300554 |
49 | 0.70521286280854 | 0.58957427438292 | 0.29478713719146 |
50 | 0.688310208829548 | 0.623379582340905 | 0.311689791170452 |
51 | 0.698285679579751 | 0.603428640840498 | 0.301714320420249 |
52 | 0.700708388329186 | 0.598583223341628 | 0.299291611670814 |
53 | 0.719615145436053 | 0.560769709127893 | 0.280384854563947 |
54 | 0.700426759940856 | 0.599146480118288 | 0.299573240059144 |
55 | 0.685293970245508 | 0.629412059508985 | 0.314706029754492 |
56 | 0.68082013369238 | 0.63835973261524 | 0.31917986630762 |
57 | 0.65065640305326 | 0.69868719389348 | 0.34934359694674 |
58 | 0.671025589390668 | 0.657948821218663 | 0.328974410609332 |
59 | 0.689745713472433 | 0.620508573055135 | 0.310254286527567 |
60 | 0.698827048392503 | 0.602345903214994 | 0.301172951607497 |
61 | 0.727225658756461 | 0.545548682487077 | 0.272774341243539 |
62 | 0.757991494429277 | 0.484017011141445 | 0.242008505570723 |
63 | 0.744519658116544 | 0.510960683766912 | 0.255480341883456 |
64 | 0.762566306603074 | 0.474867386793853 | 0.237433693396926 |
65 | 0.748769437692183 | 0.502461124615634 | 0.251230562307817 |
66 | 0.735352090154082 | 0.529295819691835 | 0.264647909845918 |
67 | 0.749832146294749 | 0.500335707410502 | 0.250167853705251 |
68 | 0.730093172959783 | 0.539813654080433 | 0.269906827040216 |
69 | 0.744676851027457 | 0.510646297945086 | 0.255323148972543 |
70 | 0.752789584023941 | 0.494420831952118 | 0.247210415976059 |
71 | 0.744266616397674 | 0.511466767204652 | 0.255733383602326 |
72 | 0.755915717801425 | 0.488168564397151 | 0.244084282198575 |
73 | 0.749730555667811 | 0.500538888664377 | 0.250269444332189 |
74 | 0.747194224680212 | 0.505611550639576 | 0.252805775319788 |
75 | 0.759162369102934 | 0.481675261794132 | 0.240837630897066 |
76 | 0.737484039145785 | 0.525031921708429 | 0.262515960854215 |
77 | 0.757378256990797 | 0.485243486018406 | 0.242621743009203 |
78 | 0.738552351118881 | 0.522895297762239 | 0.261447648881119 |
79 | 0.754972109684539 | 0.490055780630923 | 0.245027890315461 |
80 | 0.771719631981752 | 0.456560736036496 | 0.228280368018248 |
81 | 0.756742622795174 | 0.486514754409653 | 0.243257377204826 |
82 | 0.77363471997499 | 0.452730560050021 | 0.22636528002501 |
83 | 0.754289088396852 | 0.491421823206297 | 0.245710911603148 |
84 | 0.736607014398814 | 0.526785971202373 | 0.263392985601186 |
85 | 0.736128162588625 | 0.52774367482275 | 0.263871837411375 |
86 | 0.702835440192344 | 0.594329119615313 | 0.297164559807656 |
87 | 0.72510645993539 | 0.549787080129219 | 0.27489354006461 |
88 | 0.754272941776495 | 0.491454116447009 | 0.245727058223505 |
89 | 0.768109397047099 | 0.463781205905802 | 0.231890602952901 |
90 | 0.781399017282806 | 0.437201965434388 | 0.218600982717194 |
91 | 0.805087603717929 | 0.389824792564141 | 0.194912396282071 |
92 | 0.781555273775403 | 0.436889452449195 | 0.218444726224597 |
93 | 0.778347980669273 | 0.443304038661453 | 0.221652019330727 |
94 | 0.759256605871933 | 0.481486788256134 | 0.240743394128067 |
95 | 0.728842561896991 | 0.542314876206019 | 0.271157438103009 |
96 | 0.763563048602685 | 0.47287390279463 | 0.236436951397315 |
97 | 0.728316943332664 | 0.543366113334672 | 0.271683056667336 |
98 | 0.704596266816769 | 0.590807466366463 | 0.295403733183231 |
99 | 0.668951553054365 | 0.662096893891269 | 0.331048446945635 |
100 | 0.7103151426479 | 0.5793697147042 | 0.2896848573521 |
101 | 0.777530041628157 | 0.444939916743686 | 0.222469958371843 |
102 | 0.755730566914259 | 0.488538866171481 | 0.244269433085741 |
103 | 0.732311755990125 | 0.53537648801975 | 0.267688244009875 |
104 | 0.707690977894109 | 0.584618044211782 | 0.292309022105891 |
105 | 0.684038392031496 | 0.631923215937009 | 0.315961607968504 |
106 | 0.657391249528252 | 0.685217500943495 | 0.342608750471748 |
107 | 0.630778467155123 | 0.738443065689755 | 0.369221532844877 |
108 | 0.58791987487568 | 0.824160250248641 | 0.41208012512432 |
109 | 0.560385137250339 | 0.879229725499322 | 0.439614862749661 |
110 | 0.513125110736232 | 0.973749778527536 | 0.486874889263768 |
111 | 0.498723343869504 | 0.997446687739009 | 0.501276656130496 |
112 | 0.459684738156121 | 0.919369476312242 | 0.540315261843879 |
113 | 0.453780099175485 | 0.90756019835097 | 0.546219900824515 |
114 | 0.411327262069166 | 0.822654524138333 | 0.588672737930834 |
115 | 0.363155635056543 | 0.726311270113086 | 0.636844364943457 |
116 | 0.337769822078677 | 0.675539644157354 | 0.662230177921323 |
117 | 0.446403473592156 | 0.892806947184312 | 0.553596526407844 |
118 | 0.392264842610716 | 0.784529685221431 | 0.607735157389284 |
119 | 0.367989413937697 | 0.735978827875393 | 0.632010586062303 |
120 | 0.404013101713684 | 0.808026203427367 | 0.595986898286316 |
121 | 0.349520575356724 | 0.699041150713448 | 0.650479424643276 |
122 | 0.323985271616012 | 0.647970543232024 | 0.676014728383988 |
123 | 0.283362780600778 | 0.566725561201556 | 0.716637219399222 |
124 | 0.245883317933835 | 0.49176663586767 | 0.754116682066165 |
125 | 0.277148198820204 | 0.554296397640409 | 0.722851801179796 |
126 | 0.246784414502222 | 0.493568829004443 | 0.753215585497778 |
127 | 0.273167467620231 | 0.546334935240462 | 0.726832532379769 |
128 | 0.31308241599487 | 0.62616483198974 | 0.68691758400513 |
129 | 0.277948310939937 | 0.555896621879875 | 0.722051689060063 |
130 | 0.328108281085223 | 0.656216562170447 | 0.671891718914777 |
131 | 0.268382922378659 | 0.536765844757318 | 0.731617077621341 |
132 | 0.461330351171653 | 0.922660702343306 | 0.538669648828347 |
133 | 0.398410318968624 | 0.796820637937249 | 0.601589681031376 |
134 | 0.343267311090081 | 0.686534622180162 | 0.656732688909919 |
135 | 0.295197673321394 | 0.590395346642789 | 0.704802326678606 |
136 | 0.257609615266268 | 0.515219230532536 | 0.742390384733732 |
137 | 0.232216643529897 | 0.464433287059795 | 0.767783356470103 |
138 | 0.334284503485381 | 0.668569006970761 | 0.665715496514619 |
139 | 0.297230881540748 | 0.594461763081495 | 0.702769118459252 |
140 | 0.406916288734583 | 0.813832577469165 | 0.593083711265417 |
141 | 0.310548296331874 | 0.621096592663747 | 0.689451703668126 |
142 | 0.374563246117195 | 0.749126492234389 | 0.625436753882805 |
143 | 0.256732972464707 | 0.513465944929414 | 0.743267027535293 |
144 | 0.190632829585951 | 0.381265659171902 | 0.809367170414049 |
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 |