Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = + 0.53368885463191 + 0.320902431164541Weeks[t] -0.0139129710885322UsedLimit[t] -0.162197904481011T40[t] -0.237252262135127Used[t] + 0.0504952718491186Useful[t] + 0.02990124474082Outcome[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) | 0.53368885463191 | 0.470613 | 1.134 | 0.258628 | 0.129314 |
Weeks | 0.320902431164541 | 0.112455 | 2.8536 | 0.004947 | 0.002473 |
UsedLimit | -0.0139129710885322 | 0.042046 | -0.3309 | 0.741191 | 0.370595 |
T40 | -0.162197904481011 | 0.059289 | -2.7357 | 0.006991 | 0.003496 |
Used | -0.237252262135127 | 0.043967 | -5.3962 | 0 | 0 |
Useful | 0.0504952718491186 | 0.046023 | 1.0972 | 0.274354 | 0.137177 |
Outcome | 0.02990124474082 | 0.040042 | 0.7467 | 0.456408 | 0.228204 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.507598175252901 |
R-squared | 0.257655907520075 |
Adjusted R-squared | 0.227356148643343 |
F-TEST (value) | 8.50356296788681 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 6.22562983387809e-08 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.236384173347197 |
Sum Squared Residuals | 8.21398917912852 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.102587035133486 | -0.102587035133486 |
2 | 0 | -0.0157966535181723 | 0.0157966535181723 |
3 | 0 | -0.0157966535181721 | 0.0157966535181721 |
4 | 0 | -0.0157966535181721 | 0.0157966535181721 |
5 | 0 | -0.0157966535181723 | 0.0157966535181723 |
6 | 0 | -0.00911559749840556 | 0.00911559749840556 |
7 | 0 | -0.015796653518172 | 0.015796653518172 |
8 | 0 | 0.146401250962839 | -0.146401250962839 |
9 | 0 | -0.045697898258992 | 0.045697898258992 |
10 | 0 | -0.0297096246067042 | 0.0297096246067042 |
11 | 0 | 0.132488279874306 | -0.132488279874306 |
12 | 0 | -0.015796653518172 | 0.015796653518172 |
13 | 0 | 0.271950880466074 | -0.271950880466074 |
14 | 0 | 0.132488279874306 | -0.132488279874306 |
15 | 0 | 0.242049635725254 | -0.242049635725254 |
16 | 0 | 0.404247540206265 | -0.404247540206265 |
17 | 1 | 0.420235813858552 | 0.579764186141448 |
18 | 0 | 0.132488279874306 | -0.132488279874306 |
19 | 0 | -0.045697898258992 | 0.045697898258992 |
20 | 1 | 0.404247540206265 | 0.595752459793735 |
21 | 0 | 0.0207856472424144 | -0.0207856472424144 |
22 | 0 | 0.228136664636722 | -0.228136664636722 |
23 | 0 | 0.00479737359012656 | -0.00479737359012656 |
24 | 0 | -0.0091155974984056 | 0.0091155974984056 |
25 | 0 | 0.353752268357146 | -0.353752268357146 |
26 | 0 | 0.271950880466074 | -0.271950880466074 |
27 | 0 | -0.0596108693475242 | 0.0596108693475242 |
28 | 0 | 0.221455608616955 | -0.221455608616955 |
29 | 0 | -0.045697898258992 | 0.045697898258992 |
30 | 0 | 0.0346986183309466 | -0.0346986183309466 |
31 | 0 | -0.015796653518172 | 0.015796653518172 |
32 | 0 | -0.0297096246067042 | 0.0297096246067042 |
33 | 0 | 0.0207856472424144 | -0.0207856472424144 |
34 | 0 | 0.116500006222019 | -0.116500006222019 |
35 | 0 | -0.015796653518172 | 0.015796653518172 |
36 | 0 | -0.015796653518172 | 0.015796653518172 |
37 | 0 | 0.420235813858552 | -0.420235813858552 |
38 | 0 | 0.191554363876135 | -0.191554363876135 |
39 | 0 | 0.00479737359012656 | -0.00479737359012656 |
40 | 0 | 0.196896522811957 | -0.196896522811957 |
41 | 1 | 0.242049635725254 | 0.757950364274746 |
42 | 0 | 0.191554363876135 | -0.191554363876135 |
43 | 0 | -0.0091155974984056 | 0.0091155974984056 |
44 | 0 | 0.132488279874306 | -0.132488279874306 |
45 | 0 | 0.0346986183309466 | -0.0346986183309466 |
46 | 0 | 0.00479737359012656 | -0.00479737359012656 |
47 | 0 | -0.015796653518172 | 0.015796653518172 |
48 | 0 | -0.045697898258992 | 0.045697898258992 |
49 | 0 | 0.00479737359012656 | -0.00479737359012656 |
50 | 0 | -0.015796653518172 | 0.015796653518172 |
51 | 0 | 0.383653513097966 | -0.383653513097966 |
52 | 1 | 0.420235813858552 | 0.579764186141448 |
53 | 0 | -0.045697898258992 | 0.045697898258992 |
54 | 1 | 0.221455608616955 | 0.778544391383045 |
55 | 0 | -0.015796653518172 | 0.015796653518172 |
56 | 0 | 0.353752268357146 | -0.353752268357146 |
57 | 0 | 0.242049635725254 | -0.242049635725254 |
58 | 0 | -0.045697898258992 | 0.045697898258992 |
59 | 0 | -0.045697898258992 | 0.045697898258992 |
60 | 1 | 0.390334569117732 | 0.609665430882268 |
61 | 0 | 0.102587035133486 | -0.102587035133486 |
62 | 0 | 0.271950880466074 | -0.271950880466074 |
63 | 0 | -0.015796653518172 | 0.015796653518172 |
64 | 0 | 0.102587035133486 | -0.102587035133486 |
65 | 0 | -0.015796653518172 | 0.015796653518172 |
66 | 0 | -0.015796653518172 | 0.015796653518172 |
67 | 1 | 0.434148784947085 | 0.565851215052915 |
68 | 0 | -0.0297096246067042 | 0.0297096246067042 |
69 | 0 | -0.045697898258992 | 0.045697898258992 |
70 | 0 | 0.221455608616955 | -0.221455608616955 |
71 | 0 | -0.015796653518172 | 0.015796653518172 |
72 | 0 | -0.045697898258992 | 0.045697898258992 |
73 | 0 | 0.191554363876135 | -0.191554363876135 |
74 | 0 | 0.207542637528423 | -0.207542637528423 |
75 | 0 | -0.045697898258992 | 0.045697898258992 |
76 | 0 | 0.166995278071137 | -0.166995278071137 |
77 | 0 | -0.045697898258992 | 0.045697898258992 |
78 | 0 | 0.242049635725254 | -0.242049635725254 |
79 | 1 | 0.353752268357146 | 0.646247731642854 |
80 | 0 | 0.196896522811957 | -0.196896522811957 |
81 | 0 | -0.015796653518172 | 0.015796653518172 |
82 | 0 | 0.177641392787603 | -0.177641392787603 |
83 | 0 | -0.015796653518172 | 0.015796653518172 |
84 | 1 | 0.221455608616955 | 0.778544391383045 |
85 | 0 | 0.00479737359012656 | -0.00479737359012656 |
86 | 0 | -0.0297096246067042 | 0.0297096246067042 |
87 | 0 | -0.0526241137525641 | 0.0526241137525641 |
88 | 0 | 0.184628148382563 | -0.184628148382563 |
89 | 0 | -0.00880989792321196 | 0.00880989792321196 |
90 | 0 | -0.038711142664032 | 0.038711142664032 |
91 | 0 | 0.0416853739259066 | -0.0416853739259066 |
92 | 0 | -0.0227228690117441 | 0.0227228690117441 |
93 | 0 | 0.0277724028373745 | -0.0277724028373745 |
94 | 0 | -0.00880989792321196 | 0.00880989792321196 |
95 | 0 | -0.00880989792321196 | 0.00880989792321196 |
96 | 0 | -0.038711142664032 | 0.038711142664032 |
97 | 0 | -0.0227228690117441 | 0.0227228690117441 |
98 | 0 | -0.00880989792321196 | 0.00880989792321196 |
99 | 0 | -0.0227228690117441 | 0.0227228690117441 |
100 | 0 | -0.038711142664032 | 0.038711142664032 |
101 | 0 | -0.0526241137525641 | 0.0526241137525641 |
102 | 0 | -0.00880989792321196 | 0.00880989792321196 |
103 | 0 | -0.00880989792321196 | 0.00880989792321196 |
104 | 0 | -0.00880989792321196 | 0.00880989792321196 |
105 | 0 | 0.228442364211915 | -0.228442364211915 |
106 | 0 | -0.00880989792321196 | 0.00880989792321196 |
107 | 0 | -0.00880989792321196 | 0.00880989792321196 |
108 | 0 | 0.214529393123383 | -0.214529393123383 |
109 | 0 | -0.00880989792321196 | 0.00880989792321196 |
110 | 0 | -0.0227228690117441 | 0.0227228690117441 |
111 | 0 | 0.265024664972502 | -0.265024664972502 |
112 | 0 | -0.00880989792321196 | 0.00880989792321196 |
113 | 0 | 0.228442364211915 | -0.228442364211915 |
114 | 0 | 0.214529393123383 | -0.214529393123383 |
115 | 0 | -0.0227228690117441 | 0.0227228690117441 |
116 | 0 | -0.00880989792321196 | 0.00880989792321196 |
117 | 0 | -0.0526241137525641 | 0.0526241137525641 |
118 | 0 | -0.0227228690117441 | 0.0227228690117441 |
119 | 0 | -0.00880989792321196 | 0.00880989792321196 |
120 | 0 | -0.038711142664032 | 0.038711142664032 |
121 | 0 | -0.0227228690117441 | 0.0227228690117441 |
122 | 0 | -0.00880989792321196 | 0.00880989792321196 |
123 | 0 | 0.214529393123383 | -0.214529393123383 |
124 | 0 | 0.249036391320214 | -0.249036391320214 |
125 | 0 | -0.038711142664032 | 0.038711142664032 |
126 | 0 | -0.00880989792321196 | 0.00880989792321196 |
127 | 0 | 0.0416853739259066 | -0.0416853739259066 |
128 | 0 | -0.038711142664032 | 0.038711142664032 |
129 | 0 | -0.00880989792321196 | 0.00880989792321196 |
130 | 0 | -0.038711142664032 | 0.038711142664032 |
131 | 0 | -0.0227228690117441 | 0.0227228690117441 |
132 | 0 | -0.0526241137525641 | 0.0526241137525641 |
133 | 0 | 0.214529393123383 | -0.214529393123383 |
134 | 0 | -0.00880989792321196 | 0.00880989792321196 |
135 | 0 | -0.00880989792321196 | 0.00880989792321196 |
136 | 0 | -0.00880989792321196 | 0.00880989792321196 |
137 | 0 | 0.235123420231682 | -0.235123420231682 |
138 | 0 | 0.235123420231682 | -0.235123420231682 |
139 | 0 | -0.00880989792321196 | 0.00880989792321196 |
140 | 0 | -0.00880989792321196 | 0.00880989792321196 |
141 | 1 | 0.198541119471095 | 0.801458880528905 |
142 | 0 | 0.198541119471095 | -0.198541119471095 |
143 | 0 | -0.0227228690117441 | 0.0227228690117441 |
144 | 0 | 0.0117841291850866 | -0.0117841291850866 |
145 | 0 | 0.0416853739259066 | -0.0416853739259066 |
146 | 0 | -0.038711142664032 | 0.038711142664032 |
147 | 0 | 0.228442364211915 | -0.228442364211915 |
148 | 0 | -0.00880989792321196 | 0.00880989792321196 |
149 | 0 | -0.0227228690117441 | 0.0227228690117441 |
150 | 0 | 0.0117841291850866 | -0.0117841291850866 |
151 | 0 | -0.038711142664032 | 0.038711142664032 |
152 | 1 | 0.214529393123383 | 0.785470606876617 |
153 | 1 | 0.265024664972502 | 0.734975335027498 |
154 | 0 | 0.214529393123383 | -0.214529393123383 |
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 | 0.434921239783115 | 0.86984247956623 | 0.565078760216885 |
18 | 0.386087660765954 | 0.772175321531907 | 0.613912339234046 |
19 | 0.351263184296601 | 0.702526368593202 | 0.648736815703399 |
20 | 0.84264053700182 | 0.314718925996359 | 0.15735946299818 |
21 | 0.791249918724895 | 0.41750016255021 | 0.208750081275105 |
22 | 0.777554265861505 | 0.44489146827699 | 0.222445734138495 |
23 | 0.717499644587051 | 0.565000710825898 | 0.282500355412949 |
24 | 0.653040333438224 | 0.693919333123551 | 0.346959666561776 |
25 | 0.65519212306504 | 0.689615753869921 | 0.34480787693496 |
26 | 0.656463329123942 | 0.687073341752116 | 0.343536670876058 |
27 | 0.61478201308675 | 0.770435973826501 | 0.38521798691325 |
28 | 0.560202221934497 | 0.879595556131005 | 0.439797778065503 |
29 | 0.506532249276419 | 0.986935501447161 | 0.493467750723581 |
30 | 0.44846604989112 | 0.896932099782241 | 0.55153395010888 |
31 | 0.38888266634516 | 0.777765332690321 | 0.61111733365484 |
32 | 0.332622979946953 | 0.665245959893906 | 0.667377020053047 |
33 | 0.280802699013025 | 0.56160539802605 | 0.719197300986975 |
34 | 0.24022188219056 | 0.48044376438112 | 0.75977811780944 |
35 | 0.196949189306871 | 0.393898378613742 | 0.803050810693129 |
36 | 0.158814999288629 | 0.317629998577259 | 0.84118500071137 |
37 | 0.221888077803891 | 0.443776155607781 | 0.778111922196109 |
38 | 0.187476288991061 | 0.374952577982122 | 0.812523711008939 |
39 | 0.151042574901108 | 0.302085149802216 | 0.848957425098892 |
40 | 0.146541034526049 | 0.293082069052098 | 0.853458965473951 |
41 | 0.66469459951499 | 0.67061080097002 | 0.33530540048501 |
42 | 0.633584680543976 | 0.732830638912047 | 0.366415319456024 |
43 | 0.582562504885422 | 0.834874990229157 | 0.417437495114578 |
44 | 0.544747785778511 | 0.910504428442978 | 0.455252214221489 |
45 | 0.492992838356355 | 0.98598567671271 | 0.507007161643645 |
46 | 0.441675754606817 | 0.883351509213634 | 0.558324245393183 |
47 | 0.391556190087109 | 0.783112380174218 | 0.608443809912891 |
48 | 0.342948748453442 | 0.685897496906885 | 0.657051251546558 |
49 | 0.297315030662342 | 0.594630061324684 | 0.702684969337658 |
50 | 0.254786636303685 | 0.50957327260737 | 0.745213363696315 |
51 | 0.310920125004335 | 0.621840250008669 | 0.689079874995665 |
52 | 0.584246223566849 | 0.831507552866303 | 0.415753776433151 |
53 | 0.537934523229746 | 0.924130953540508 | 0.462065476770254 |
54 | 0.906891354237858 | 0.186217291524285 | 0.0931086457621423 |
55 | 0.884535641855131 | 0.230928716289738 | 0.115464358144869 |
56 | 0.921388193232121 | 0.157223613535757 | 0.0786118067678787 |
57 | 0.920077052319064 | 0.159845895361872 | 0.0799229476809359 |
58 | 0.901901166713362 | 0.196197666573277 | 0.0980988332866384 |
59 | 0.880767862718229 | 0.238464274563542 | 0.119232137281771 |
60 | 0.959684269984008 | 0.0806314600319837 | 0.0403157300159919 |
61 | 0.954445356374722 | 0.0911092872505565 | 0.0455546436252782 |
62 | 0.956400234813095 | 0.0871995303738091 | 0.0435997651869046 |
63 | 0.944290141981786 | 0.111419716036429 | 0.0557098580182143 |
64 | 0.94254937586238 | 0.11490124827524 | 0.0574506241376199 |
65 | 0.927587834675919 | 0.144824330648163 | 0.0724121653240815 |
66 | 0.909795625593901 | 0.180408748812198 | 0.0902043744060988 |
67 | 0.962761318808952 | 0.0744773623820953 | 0.0372386811910476 |
68 | 0.951967173126061 | 0.0960656537478778 | 0.0480328268739389 |
69 | 0.939688545224752 | 0.120622909550496 | 0.0603114547752479 |
70 | 0.937729366617339 | 0.124541266765323 | 0.0622706333826613 |
71 | 0.921910419350956 | 0.156179161298089 | 0.0780895806490443 |
72 | 0.904046443804952 | 0.191907112390096 | 0.095953556195048 |
73 | 0.89909671151587 | 0.20180657696826 | 0.10090328848413 |
74 | 0.897890713869287 | 0.204218572261427 | 0.102109286130713 |
75 | 0.876639473693468 | 0.246721052613064 | 0.123360526306532 |
76 | 0.876967178025085 | 0.246065643949831 | 0.123032821974916 |
77 | 0.853110207023614 | 0.293779585952772 | 0.146889792976386 |
78 | 0.859661538903037 | 0.280676922193925 | 0.140338461096963 |
79 | 0.959757600290779 | 0.0804847994184429 | 0.0402423997092215 |
80 | 0.951622653711428 | 0.0967546925771442 | 0.0483773462885721 |
81 | 0.941010142317807 | 0.117979715364386 | 0.0589898576821928 |
82 | 0.947822626030597 | 0.104354747938806 | 0.052177373969403 |
83 | 0.943536374068947 | 0.112927251862107 | 0.0564636259310535 |
84 | 0.994328273713299 | 0.0113434525734024 | 0.00567172628670118 |
85 | 0.991998414762451 | 0.0160031704750985 | 0.00800158523754923 |
86 | 0.988881165263902 | 0.0222376694721953 | 0.0111188347360976 |
87 | 0.984716880725502 | 0.0305662385489955 | 0.0152831192744978 |
88 | 0.982922776062178 | 0.0341544478756445 | 0.0170772239378222 |
89 | 0.977079209632363 | 0.0458415807352742 | 0.0229207903676371 |
90 | 0.969751511711574 | 0.060496976576852 | 0.030248488288426 |
91 | 0.960218443053031 | 0.0795631138939389 | 0.0397815569469694 |
92 | 0.948379796956291 | 0.103240406087419 | 0.0516202030437094 |
93 | 0.933765765479249 | 0.132468469041502 | 0.0662342345207508 |
94 | 0.91606831274486 | 0.167863374510281 | 0.0839316872551403 |
95 | 0.894945044241908 | 0.210109911516183 | 0.105054955758092 |
96 | 0.870649264185809 | 0.258701471628382 | 0.129350735814191 |
97 | 0.842077499138585 | 0.315845001722831 | 0.157922500861416 |
98 | 0.809397525516259 | 0.381204948967481 | 0.190602474483741 |
99 | 0.772838314811498 | 0.454323370377005 | 0.227161685188502 |
100 | 0.732931701408362 | 0.534136597183277 | 0.267068298591638 |
101 | 0.689939709186119 | 0.620120581627762 | 0.310060290813881 |
102 | 0.64293215388462 | 0.71413569223076 | 0.35706784611538 |
103 | 0.593439963245677 | 0.813120073508645 | 0.406560036754323 |
104 | 0.542185898606862 | 0.915628202786276 | 0.457814101393138 |
105 | 0.528762195462779 | 0.942475609074442 | 0.471237804537221 |
106 | 0.476237387770375 | 0.95247477554075 | 0.523762612229625 |
107 | 0.42386075409898 | 0.84772150819796 | 0.57613924590102 |
108 | 0.411056100870389 | 0.822112201740778 | 0.588943899129611 |
109 | 0.359891918815397 | 0.719783837630795 | 0.640108081184603 |
110 | 0.31112413168669 | 0.622248263373379 | 0.68887586831331 |
111 | 0.308969656914524 | 0.617939313829049 | 0.691030343085476 |
112 | 0.26261814982086 | 0.52523629964172 | 0.73738185017914 |
113 | 0.256899462054398 | 0.513798924108796 | 0.743100537945602 |
114 | 0.257443508203236 | 0.514887016406473 | 0.742556491796764 |
115 | 0.215052022788723 | 0.430104045577446 | 0.784947977211277 |
116 | 0.176310456352936 | 0.352620912705872 | 0.823689543647064 |
117 | 0.143075034132028 | 0.286150068264055 | 0.856924965867972 |
118 | 0.113480090871395 | 0.226960181742789 | 0.886519909128605 |
119 | 0.0881499584145831 | 0.176299916829166 | 0.911850041585417 |
120 | 0.0674170537428813 | 0.134834107485763 | 0.932582946257119 |
121 | 0.0504119235179752 | 0.10082384703595 | 0.949588076482025 |
122 | 0.0368095047812057 | 0.0736190095624114 | 0.963190495218794 |
123 | 0.0395951263015747 | 0.0791902526031494 | 0.960404873698425 |
124 | 0.0402958965484341 | 0.0805917930968681 | 0.959704103451566 |
125 | 0.028811782377705 | 0.05762356475541 | 0.971188217622295 |
126 | 0.0199599984226553 | 0.0399199968453105 | 0.980040001577345 |
127 | 0.0135237331310777 | 0.0270474662621554 | 0.986476266868922 |
128 | 0.00895111842048511 | 0.0179022368409702 | 0.991048881579515 |
129 | 0.00570608486514907 | 0.0114121697302981 | 0.994293915134851 |
130 | 0.00356433086876714 | 0.00712866173753428 | 0.996435669131233 |
131 | 0.00213258140992217 | 0.00426516281984435 | 0.997867418590078 |
132 | 0.00128327981995799 | 0.00256655963991598 | 0.998716720180042 |
133 | 0.00171305209740519 | 0.00342610419481037 | 0.998286947902595 |
134 | 0.000953254929362247 | 0.00190650985872449 | 0.999046745070638 |
135 | 0.000508894126238007 | 0.00101778825247601 | 0.999491105873762 |
136 | 0.000259968016761577 | 0.000519936033523155 | 0.999740031983238 |
137 | 0.000342395905091245 | 0.000684791810182491 | 0.999657604094909 |
138 | 0.00203105895909634 | 0.00406211791819269 | 0.997968941040904 |
139 | 0.00116279721526155 | 0.0023255944305231 | 0.998837202784738 |
140 | 0.000715445965039153 | 0.00143089193007831 | 0.999284554034961 |
141 | 0.0238647878065096 | 0.0477295756130192 | 0.97613521219349 |
142 | 0.0177422231899853 | 0.0354844463799705 | 0.982257776810015 |
143 | 0.00940933663156025 | 0.0188186732631205 | 0.99059066336844 |
144 | 0.00436822055805889 | 0.00873644111611778 | 0.995631779441941 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 19 | 0.140740740740741 | NOK |
5% type I error level | 32 | 0.237037037037037 | NOK |
10% type I error level | 45 | 0.333333333333333 | NOK |