Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = + 0.0910066789336801 + 0.327797011313012Weeks[t] + 0.0112126065997628UsedLimit[t] + 0.164784010795628T20[t] -0.278762966742737Used[t] + 0.0452887616442128Useful[t] + 0.0352157655598181Outcome[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) | 0.0910066789336801 | 0.620128 | 0.1468 | 0.883527 | 0.441763 |
Weeks | 0.327797011313012 | 0.131482 | 2.4931 | 0.013772 | 0.006886 |
UsedLimit | 0.0112126065997628 | 0.041675 | 0.269 | 0.788269 | 0.394134 |
T20 | 0.164784010795628 | 0.069147 | 2.3831 | 0.018445 | 0.009223 |
Used | -0.278762966742737 | 0.045381 | -6.1427 | 0 | 0 |
Useful | 0.0452887616442128 | 0.04647 | 0.9746 | 0.331367 | 0.165683 |
Outcome | 0.0352157655598181 | 0.040359 | 0.8726 | 0.384319 | 0.192159 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.498878543849604 |
R-squared | 0.248879801513502 |
Adjusted R-squared | 0.218221834228338 |
F-TEST (value) | 8.1179485645138 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 1.38302308716476e-07 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.237777352872119 |
Sum Squared Residuals | 8.31109622221424 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | -0.0126601107522018 | 0.0126601107522018 |
2 | 0 | 0.0113430482078533 | -0.0113430482078533 |
3 | 0 | 0.0113430482078535 | -0.0113430482078535 |
4 | 0 | 0.0113430482078535 | -0.0113430482078535 |
5 | 0 | 0.0113430482078537 | -0.0113430482078537 |
6 | 0 | 0.032628650892011 | -0.032628650892011 |
7 | 0 | 0.0113430482078535 | -0.0113430482078535 |
8 | 0 | 0.0113430482078535 | -0.0113430482078535 |
9 | 0 | -0.0238727173519645 | 0.0238727173519645 |
10 | 0 | 0.0225556548076163 | -0.0225556548076163 |
11 | 0 | 0.0225556548076163 | -0.0225556548076163 |
12 | 0 | 0.0113430482078535 | -0.0113430482078535 |
13 | 0 | 0.335394776594803 | -0.335394776594803 |
14 | 0 | 0.0225556548076163 | -0.0225556548076163 |
15 | 0 | 0.300179011034985 | -0.300179011034985 |
16 | 0 | 0.300179011034985 | -0.300179011034985 |
17 | 1 | 0.346607383194566 | 0.653392616805434 |
18 | 0 | 0.0225556548076163 | -0.0225556548076163 |
19 | 0 | -0.0238727173519645 | 0.0238727173519645 |
20 | 1 | 0.300179011034985 | 0.699820988965015 |
21 | 0 | 0.067844416451829 | -0.067844416451829 |
22 | 0 | 0.311391617634748 | -0.311391617634748 |
23 | 0 | 0.0214160442922482 | -0.0214160442922482 |
24 | 0 | 0.032628650892011 | -0.032628650892011 |
25 | 0 | 0.254890249390772 | -0.254890249390772 |
26 | 0 | 0.335394776594803 | -0.335394776594803 |
27 | 0 | -0.0126601107522018 | 0.0126601107522018 |
28 | 0 | 0.29010601495059 | -0.29010601495059 |
29 | 0 | -0.0238727173519645 | 0.0238727173519645 |
30 | 0 | 0.0566318098520663 | -0.0566318098520663 |
31 | 0 | 0.0113430482078535 | -0.0113430482078535 |
32 | 0 | 0.0225556548076163 | -0.0225556548076163 |
33 | 0 | 0.067844416451829 | -0.067844416451829 |
34 | 0 | -0.0238727173519645 | 0.0238727173519645 |
35 | 0 | 0.0113430482078535 | -0.0113430482078535 |
36 | 0 | 0.0113430482078535 | -0.0113430482078535 |
37 | 0 | 0.346607383194566 | -0.346607383194566 |
38 | 0 | 0.254890249390772 | -0.254890249390772 |
39 | 0 | 0.0214160442922482 | -0.0214160442922482 |
40 | 0 | 0.0566318098520663 | -0.0566318098520663 |
41 | 1 | 0.300179011034985 | 0.699820988965015 |
42 | 0 | 0.254890249390772 | -0.254890249390772 |
43 | 0 | 0.032628650892011 | -0.032628650892011 |
44 | 0 | 0.0225556548076163 | -0.0225556548076163 |
45 | 0 | 0.0566318098520663 | -0.0566318098520663 |
46 | 0 | 0.0214160442922482 | -0.0214160442922482 |
47 | 0 | 0.0113430482078535 | -0.0113430482078535 |
48 | 0 | -0.0238727173519645 | 0.0238727173519645 |
49 | 0 | 0.0214160442922482 | -0.0214160442922482 |
50 | 0 | 0.0113430482078535 | -0.0113430482078535 |
51 | 0 | 0.29010601495059 | -0.29010601495059 |
52 | 1 | 0.346607383194566 | 0.653392616805434 |
53 | 0 | -0.0238727173519645 | 0.0238727173519645 |
54 | 1 | 0.29010601495059 | 0.70989398504941 |
55 | 0 | 0.0113430482078535 | -0.0113430482078535 |
56 | 0 | 0.254890249390772 | -0.254890249390772 |
57 | 0 | 0.300179011034985 | -0.300179011034985 |
58 | 0 | -0.0238727173519645 | 0.0238727173519645 |
59 | 0 | -0.0238727173519645 | 0.0238727173519645 |
60 | 1 | 0.311391617634748 | 0.688608382365252 |
61 | 0 | -0.0126601107522018 | 0.0126601107522018 |
62 | 0 | 0.335394776594803 | -0.335394776594803 |
63 | 0 | 0.0113430482078535 | -0.0113430482078535 |
64 | 0 | -0.0126601107522018 | 0.0126601107522018 |
65 | 0 | 0.0113430482078535 | -0.0113430482078535 |
66 | 0 | 0.0113430482078535 | -0.0113430482078535 |
67 | 1 | 0.335394776594803 | 0.664605223405197 |
68 | 0 | 0.0225556548076163 | -0.0225556548076163 |
69 | 0 | -0.0238727173519645 | 0.0238727173519645 |
70 | 0 | 0.29010601495059 | -0.29010601495059 |
71 | 0 | 0.0113430482078535 | -0.0113430482078535 |
72 | 0 | -0.0238727173519645 | 0.0238727173519645 |
73 | 0 | 0.254890249390772 | -0.254890249390772 |
74 | 0 | 0.301318621550353 | -0.301318621550353 |
75 | 0 | -0.0238727173519645 | 0.0238727173519645 |
76 | 0 | 0.0214160442922482 | -0.0214160442922482 |
77 | 0 | -0.0238727173519645 | 0.0238727173519645 |
78 | 0 | 0.300179011034985 | -0.300179011034985 |
79 | 1 | 0.254890249390772 | 0.745109750609228 |
80 | 0 | 0.0566318098520663 | -0.0566318098520663 |
81 | 0 | 0.0113430482078535 | -0.0113430482078535 |
82 | 0 | 0.266102855990535 | -0.266102855990535 |
83 | 0 | 0.0113430482078535 | -0.0113430482078535 |
84 | 1 | 0.29010601495059 | 0.70989398504941 |
85 | 0 | 0.0214160442922482 | -0.0214160442922482 |
86 | 0 | 0.0225556548076163 | -0.0225556548076163 |
87 | 0 | -0.00911809019571476 | 0.00911809019571476 |
88 | 0 | 0.104860865751394 | -0.104860865751394 |
89 | 0 | 0.0148850687643405 | -0.0148850687643405 |
90 | 0 | -0.0203306967954775 | 0.0203306967954775 |
91 | 0 | 0.0601738304085533 | -0.0601738304085533 |
92 | 0 | -0.138686335431525 | 0.138686335431525 |
93 | 0 | 0.0713864370083161 | -0.0713864370083161 |
94 | 0 | 0.0148850687643405 | -0.0148850687643405 |
95 | 0 | -0.149898942031288 | 0.149898942031288 |
96 | 0 | -0.0203306967954775 | 0.0203306967954775 |
97 | 0 | -0.138686335431525 | 0.138686335431525 |
98 | 0 | 0.0148850687643405 | -0.0148850687643405 |
99 | 0 | 0.0260976753641033 | -0.0260976753641033 |
100 | 0 | -0.0203306967954775 | 0.0203306967954775 |
101 | 0 | -0.00911809019571476 | 0.00911809019571476 |
102 | 0 | 0.0148850687643405 | -0.0148850687643405 |
103 | 0 | 0.0148850687643405 | -0.0148850687643405 |
104 | 0 | 0.0148850687643405 | -0.0148850687643405 |
105 | 0 | 0.128864024711449 | -0.128864024711449 |
106 | 0 | 0.0148850687643405 | -0.0148850687643405 |
107 | 0 | 0.0148850687643405 | -0.0148850687643405 |
108 | 0 | 0.140076631311212 | -0.140076631311212 |
109 | 0 | 0.0148850687643405 | -0.0148850687643405 |
110 | 0 | 0.0260976753641033 | -0.0260976753641033 |
111 | 0 | 0.185365392955425 | -0.185365392955425 |
112 | 0 | -0.149898942031288 | 0.149898942031288 |
113 | 0 | 0.293648035507077 | -0.293648035507077 |
114 | 0 | 0.140076631311212 | -0.140076631311212 |
115 | 0 | 0.0260976753641033 | -0.0260976753641033 |
116 | 0 | 0.0148850687643405 | -0.0148850687643405 |
117 | 0 | -0.00911809019571476 | 0.00911809019571476 |
118 | 0 | 0.0260976753641033 | -0.0260976753641033 |
119 | 0 | 0.0148850687643405 | -0.0148850687643405 |
120 | 0 | -0.0203306967954775 | 0.0203306967954775 |
121 | 0 | 0.0260976753641033 | -0.0260976753641033 |
122 | 0 | 0.0148850687643405 | -0.0148850687643405 |
123 | 0 | 0.140076631311212 | -0.140076631311212 |
124 | 0 | 0.303721031591472 | -0.303721031591472 |
125 | 0 | -0.0203306967954775 | 0.0203306967954775 |
126 | 0 | -0.149898942031288 | 0.149898942031288 |
127 | 0 | 0.0601738304085533 | -0.0601738304085533 |
128 | 0 | -0.0203306967954775 | 0.0203306967954775 |
129 | 0 | 0.0148850687643405 | -0.0148850687643405 |
130 | 0 | -0.0203306967954775 | 0.0203306967954775 |
131 | 0 | 0.0260976753641033 | -0.0260976753641033 |
132 | 0 | -0.00911809019571476 | 0.00911809019571476 |
133 | 0 | 0.30486064210684 | -0.30486064210684 |
134 | 0 | 0.0148850687643405 | -0.0148850687643405 |
135 | 0 | 0.0148850687643405 | -0.0148850687643405 |
136 | 0 | 0.0148850687643405 | -0.0148850687643405 |
137 | 0 | 0.314933638191235 | -0.314933638191235 |
138 | 0 | 0.150149627395607 | -0.150149627395607 |
139 | 0 | -0.149898942031288 | 0.149898942031288 |
140 | 0 | 0.0148850687643405 | -0.0148850687643405 |
141 | 1 | 0.258432269947259 | 0.741567730052741 |
142 | 0 | 0.0936482591516314 | -0.0936482591516314 |
143 | 0 | 0.0260976753641033 | -0.0260976753641033 |
144 | 0 | 0.0249580648487353 | -0.0249580648487353 |
145 | 0 | 0.0601738304085533 | -0.0601738304085533 |
146 | 0 | -0.185114707591106 | 0.185114707591106 |
147 | 0 | 0.128864024711449 | -0.128864024711449 |
148 | 0 | -0.149898942031288 | 0.149898942031288 |
149 | 0 | 0.0260976753641033 | -0.0260976753641033 |
150 | 0 | 0.0249580648487353 | -0.0249580648487353 |
151 | 0 | -0.0203306967954775 | 0.0203306967954775 |
152 | 1 | 0.30486064210684 | 0.69513935789316 |
153 | 1 | 0.350149403751053 | 0.649850596248947 |
154 | 0 | 0.30486064210684 | -0.30486064210684 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0 | 0 | 1 |
11 | 0 | 0 | 1 |
12 | 0 | 0 | 1 |
13 | 0 | 0 | 1 |
14 | 0 | 0 | 1 |
15 | 0 | 0 | 1 |
16 | 0 | 0 | 1 |
17 | 0.434515960588235 | 0.869031921176471 | 0.565484039411765 |
18 | 0.378869941599226 | 0.757739883198452 | 0.621130058400774 |
19 | 0.341586833890224 | 0.683173667780447 | 0.658413166109776 |
20 | 0.883877041319145 | 0.232245917361709 | 0.116122958680855 |
21 | 0.841391785987248 | 0.317216428025504 | 0.158608214012752 |
22 | 0.896952587370296 | 0.206094825259407 | 0.103047412629704 |
23 | 0.863012126475112 | 0.273975747049776 | 0.136987873524888 |
24 | 0.819533949661795 | 0.360932100676411 | 0.180466050338205 |
25 | 0.807872871644949 | 0.384254256710102 | 0.192127128355051 |
26 | 0.832093094338181 | 0.335813811323637 | 0.167906905661819 |
27 | 0.786133813439182 | 0.427732373121637 | 0.213866186560818 |
28 | 0.773296327833643 | 0.453407344332713 | 0.226703672166357 |
29 | 0.724759061118503 | 0.550481877762994 | 0.275240938881497 |
30 | 0.670577035356971 | 0.658845929286059 | 0.329422964643029 |
31 | 0.611857601364157 | 0.776284797271685 | 0.388142398635843 |
32 | 0.551146770837617 | 0.897706458324766 | 0.448853229162383 |
33 | 0.497838798010953 | 0.995677596021906 | 0.502161201989047 |
34 | 0.439020787328582 | 0.878041574657163 | 0.560979212671418 |
35 | 0.380468040665079 | 0.760936081330157 | 0.619531959334921 |
36 | 0.324969737764905 | 0.649939475529809 | 0.675030262235095 |
37 | 0.352373554155036 | 0.704747108310072 | 0.647626445844964 |
38 | 0.328008586410332 | 0.656017172820664 | 0.671991413589668 |
39 | 0.277872119716818 | 0.555744239433636 | 0.722127880283182 |
40 | 0.233846020066007 | 0.467692040132014 | 0.766153979933993 |
41 | 0.689119739863348 | 0.621760520273304 | 0.310880260136652 |
42 | 0.676072405501216 | 0.647855188997567 | 0.323927594498784 |
43 | 0.6298705366227 | 0.7402589267546 | 0.3701294633773 |
44 | 0.578443798645786 | 0.843112402708429 | 0.421556201354214 |
45 | 0.52904033491829 | 0.94191933016342 | 0.47095966508171 |
46 | 0.477835105567722 | 0.955670211135445 | 0.522164894432278 |
47 | 0.426296648390286 | 0.852593296780573 | 0.573703351609714 |
48 | 0.375356109134094 | 0.750712218268187 | 0.624643890865906 |
49 | 0.328286172477239 | 0.656572344954478 | 0.671713827522761 |
50 | 0.28336552708255 | 0.566731054165101 | 0.71663447291745 |
51 | 0.283023927501973 | 0.566047855003945 | 0.716976072498027 |
52 | 0.618520633172212 | 0.762958733655576 | 0.381479366827788 |
53 | 0.571617306368202 | 0.856765387263597 | 0.428382693631798 |
54 | 0.878820751988333 | 0.242358496023335 | 0.121179248011667 |
55 | 0.852042584707273 | 0.295914830585454 | 0.147957415292727 |
56 | 0.852645303290551 | 0.294709393418897 | 0.147354696709449 |
57 | 0.865939975016095 | 0.26812004996781 | 0.134060024983905 |
58 | 0.839222481996402 | 0.321555036007195 | 0.160777518003598 |
59 | 0.809115805846825 | 0.38176838830635 | 0.190884194153175 |
60 | 0.954063407750114 | 0.0918731844997726 | 0.0459365922498863 |
61 | 0.941160450647425 | 0.117679098705151 | 0.0588395493525753 |
62 | 0.952266725158354 | 0.0954665496832919 | 0.0477332748416459 |
63 | 0.939522728438914 | 0.120954543122171 | 0.0604772715610855 |
64 | 0.923918475625106 | 0.152163048749789 | 0.0760815243748945 |
65 | 0.905910313911263 | 0.188179372177475 | 0.0940896860887374 |
66 | 0.885051458389423 | 0.229897083221155 | 0.114948541610577 |
67 | 0.977895717190265 | 0.0442085656194708 | 0.0221042828097354 |
68 | 0.970871178996235 | 0.0582576420075301 | 0.0291288210037651 |
69 | 0.962372646375751 | 0.0752547072484976 | 0.0376273536242488 |
70 | 0.967411627256034 | 0.0651767454879329 | 0.0325883727439664 |
71 | 0.958090283867076 | 0.0838194322658485 | 0.0419097161329242 |
72 | 0.946769787796828 | 0.106460424406344 | 0.053230212203172 |
73 | 0.952131977542328 | 0.0957360449153444 | 0.0478680224576722 |
74 | 0.962694319907276 | 0.0746113601854482 | 0.0373056800927241 |
75 | 0.953021153028306 | 0.093957693943387 | 0.0469788469716935 |
76 | 0.940297444623092 | 0.119405110753815 | 0.0597025553769077 |
77 | 0.926762255186745 | 0.14647548962651 | 0.0732377448132549 |
78 | 0.944005491620663 | 0.111989016758675 | 0.0559945083793373 |
79 | 0.9933207747244 | 0.0133584505512005 | 0.00667922527560025 |
80 | 0.99092394086922 | 0.0181521182615593 | 0.00907605913077967 |
81 | 0.988112490290177 | 0.0237750194196464 | 0.0118875097098232 |
82 | 0.992007940539374 | 0.0159841189212517 | 0.00799205946062587 |
83 | 0.991126119369158 | 0.0177477612616835 | 0.00887388063084173 |
84 | 0.999188620632113 | 0.00162275873577424 | 0.000811379367887121 |
85 | 0.998771632160074 | 0.00245673567985096 | 0.00122836783992548 |
86 | 0.998162661366815 | 0.00367467726637103 | 0.00183733863318552 |
87 | 0.997286813899068 | 0.0054263722018648 | 0.0027131861009324 |
88 | 0.996267757003571 | 0.00746448599285795 | 0.00373224299642897 |
89 | 0.994637987846881 | 0.0107240243062384 | 0.00536201215311918 |
90 | 0.992392847471113 | 0.015214305057775 | 0.00760715252888749 |
91 | 0.9894206552112 | 0.0211586895776005 | 0.0105793447888003 |
92 | 0.98699731333955 | 0.0260053733209006 | 0.0130026866604503 |
93 | 0.982337969141125 | 0.0353240617177509 | 0.0176620308588754 |
94 | 0.976115149392374 | 0.0477697012152524 | 0.0238848506076262 |
95 | 0.970782051625811 | 0.0584358967483785 | 0.0292179483741892 |
96 | 0.961398525112272 | 0.0772029497754556 | 0.0386014748877278 |
97 | 0.953711192689735 | 0.0925776146205299 | 0.046288807310265 |
98 | 0.939988700033894 | 0.120022599932213 | 0.0600112999661063 |
99 | 0.923094154340757 | 0.153811691318485 | 0.0769058456592425 |
100 | 0.90299704647751 | 0.194005907044979 | 0.0970029535224897 |
101 | 0.878805126705039 | 0.242389746589923 | 0.121194873294961 |
102 | 0.850800378120556 | 0.298399243758888 | 0.149199621879444 |
103 | 0.818670675764797 | 0.362658648470407 | 0.181329324235203 |
104 | 0.782408367990994 | 0.435183264018012 | 0.217591632009006 |
105 | 0.756337390950719 | 0.487325218098562 | 0.243662609049281 |
106 | 0.713570326462023 | 0.572859347075954 | 0.286429673537977 |
107 | 0.667407575071803 | 0.665184849856393 | 0.332592424928197 |
108 | 0.632783386210779 | 0.734433227578442 | 0.367216613789221 |
109 | 0.58188757647945 | 0.836224847041101 | 0.41811242352055 |
110 | 0.528485424450944 | 0.943029151098113 | 0.471514575549056 |
111 | 0.491596965857406 | 0.983193931714812 | 0.508403034142594 |
112 | 0.455392664780521 | 0.910785329561042 | 0.544607335219479 |
113 | 0.506703678675225 | 0.986592642649551 | 0.493296321324775 |
114 | 0.470090010097052 | 0.940180020194103 | 0.529909989902948 |
115 | 0.414144135631191 | 0.828288271262383 | 0.585855864368809 |
116 | 0.362011228830758 | 0.724022457661515 | 0.637988771169242 |
117 | 0.310038717609813 | 0.620077435219625 | 0.689961282390187 |
118 | 0.26077432559346 | 0.52154865118692 | 0.73922567440654 |
119 | 0.217915994077109 | 0.435831988154218 | 0.782084005922891 |
120 | 0.177238463643179 | 0.354476927286357 | 0.822761536356821 |
121 | 0.141245427139312 | 0.282490854278623 | 0.858754572860688 |
122 | 0.112132129540716 | 0.224264259081432 | 0.887867870459284 |
123 | 0.0964345012613528 | 0.192869002522706 | 0.903565498738647 |
124 | 0.119892480219046 | 0.239784960438093 | 0.880107519780954 |
125 | 0.0917074251549337 | 0.183414850309867 | 0.908292574845066 |
126 | 0.0759941352774086 | 0.151988270554817 | 0.924005864722591 |
127 | 0.056397937395864 | 0.112795874791728 | 0.943602062604136 |
128 | 0.0403611366789172 | 0.0807222733578344 | 0.959638863321083 |
129 | 0.0288062683133175 | 0.0576125366266349 | 0.971193731686683 |
130 | 0.0195811045900899 | 0.0391622091801799 | 0.98041889540991 |
131 | 0.0127090794269401 | 0.0254181588538802 | 0.98729092057306 |
132 | 0.00814396178833649 | 0.016287923576673 | 0.991856038211663 |
133 | 0.0153461732399346 | 0.0306923464798693 | 0.984653826760065 |
134 | 0.0102866496116352 | 0.0205732992232704 | 0.989713350388365 |
135 | 0.00688549839598981 | 0.0137709967919796 | 0.99311450160401 |
136 | 0.00471963259190085 | 0.00943926518380171 | 0.995280367408099 |
137 | 0.00833556186821548 | 0.016671123736431 | 0.991664438131785 |
138 | 0.00699250585912038 | 0.0139850117182408 | 0.99300749414088 |
139 | 0.00574392856959747 | 0.0114878571391949 | 0.994256071430403 |
140 | 0.00289905769455692 | 0.00579811538911385 | 0.997100942305443 |
141 | 0.0319590028298327 | 0.0639180056596654 | 0.968040997170167 |
142 | 0.0257772532964404 | 0.0515545065928808 | 0.97422274670356 |
143 | 0.0141182481422929 | 0.0282364962845858 | 0.985881751857707 |
144 | 0.00669285874570691 | 0.0133857174914138 | 0.993307141254293 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 14 | 0.103703703703704 | NOK |
5% type I error level | 37 | 0.274074074074074 | NOK |
10% type I error level | 53 | 0.392592592592593 | NOK |