Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = -0.873143281826407 + 0.292012243119586Weeks[t] -0.00864318736817797UseLimit[t] -0.156530152221649T40[t] + 0.157197219341272T20[t] + 0.263764402248574Used[t] + 0.0403809769938889Useful[t] -0.0357073197745365Outcome[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) | -0.873143281826407 | 0.263274 | -3.3165 | 0.00115 | 0.000575 |
Weeks | 0.292012243119586 | 0.079092 | 3.6921 | 0.000314 | 0.000157 |
UseLimit | -0.00864318736817797 | 0.041496 | -0.2083 | 0.835293 | 0.417646 |
T40 | -0.156530152221649 | 0.058477 | -2.6768 | 0.008284 | 0.004142 |
T20 | 0.157197219341272 | 0.0678 | 2.3185 | 0.021808 | 0.010904 |
Used | 0.263764402248574 | 0.04481 | 5.8863 | 0 | 0 |
Useful | 0.0403809769938889 | 0.045562 | 0.8863 | 0.376919 | 0.188459 |
Outcome | -0.0357073197745365 | 0.039538 | -0.9031 | 0.367957 | 0.183979 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.53293320401624 |
R-squared | 0.284017799943016 |
Adjusted R-squared | 0.249689886241653 |
F-TEST (value) | 8.27366913159493 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 146 |
p-value | 1.74130451169319e-08 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.232942707861295 |
Sum Squared Residuals | 7.92229655127988 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.0940250312875755 | -0.0940250312875755 |
2 | 0 | -0.0181546137913599 | 0.0181546137913599 |
3 | 0 | -0.0181546137913597 | 0.0181546137913597 |
4 | 0 | -0.0181546137913598 | 0.0181546137913598 |
5 | 0 | -0.0181546137913596 | 0.0181546137913596 |
6 | 0 | -0.0221241439401851 | 0.0221241439401851 |
7 | 0 | -0.0181546137913597 | 0.0181546137913597 |
8 | 0 | 0.138375538430289 | -0.138375538430289 |
9 | 0 | -0.0538619335658962 | 0.0538619335658962 |
10 | 0 | -0.0267978011595377 | 0.0267978011595377 |
11 | 0 | 0.129732351062111 | -0.129732351062111 |
12 | 0 | -0.0181546137913597 | 0.0181546137913597 |
13 | 0 | 0.285990765451103 | -0.285990765451103 |
14 | 0 | 0.129732351062111 | -0.129732351062111 |
15 | 0 | 0.250283445676567 | -0.250283445676567 |
16 | 0 | 0.406813597898216 | -0.406813597898216 |
17 | 1 | 0.433877730304574 | 0.566122269695426 |
18 | 0 | 0.129732351062111 | -0.129732351062111 |
19 | 0 | -0.0538619335658962 | 0.0538619335658962 |
20 | 1 | 0.406813597898216 | 0.593186402101784 |
21 | 0 | 0.0135831758343512 | -0.0135831758343512 |
22 | 0 | 0.241640258308389 | -0.241640258308389 |
23 | 0 | -0.0134809565720073 | 0.0134809565720073 |
24 | 0 | -0.0221241439401853 | 0.0221241439401853 |
25 | 0 | 0.366432620904327 | -0.366432620904327 |
26 | 0 | 0.285990765451103 | -0.285990765451103 |
27 | 0 | -0.0625051209340742 | 0.0625051209340742 |
28 | 0 | 0.245609788457214 | -0.245609788457214 |
29 | 0 | -0.0538619335658962 | 0.0538619335658962 |
30 | 0 | 0.0222263632025292 | -0.0222263632025292 |
31 | 0 | -0.0181546137913597 | 0.0181546137913597 |
32 | 0 | -0.0267978011595377 | 0.0267978011595377 |
33 | 0 | 0.0135831758343512 | -0.0135831758343512 |
34 | 0 | 0.102668218655753 | -0.102668218655753 |
35 | 0 | -0.0181546137913597 | 0.0181546137913597 |
36 | 0 | -0.0181546137913597 | 0.0181546137913597 |
37 | 0 | 0.433877730304574 | -0.433877730304574 |
38 | 0 | 0.209902468682678 | -0.209902468682678 |
39 | 0 | -0.0134809565720073 | 0.0134809565720073 |
40 | 0 | 0.178756515424178 | -0.178756515424178 |
41 | 1 | 0.250283445676567 | 0.749716554323433 |
42 | 0 | 0.209902468682678 | -0.209902468682678 |
43 | 0 | -0.0221241439401853 | 0.0221241439401853 |
44 | 0 | 0.129732351062111 | -0.129732351062111 |
45 | 0 | 0.0222263632025292 | -0.0222263632025292 |
46 | 0 | -0.0134809565720073 | 0.0134809565720073 |
47 | 0 | -0.0181546137913597 | 0.0181546137913597 |
48 | 0 | -0.0538619335658962 | 0.0538619335658962 |
49 | 0 | -0.0134809565720073 | 0.0134809565720073 |
50 | 0 | -0.0181546137913597 | 0.0181546137913597 |
51 | 0 | 0.402139940678863 | -0.402139940678863 |
52 | 1 | 0.433877730304574 | 0.566122269695426 |
53 | 0 | -0.0538619335658962 | 0.0538619335658962 |
54 | 1 | 0.245609788457214 | 0.754390211542786 |
55 | 0 | -0.0181546137913597 | 0.0181546137913597 |
56 | 0 | 0.366432620904327 | -0.366432620904327 |
57 | 0 | 0.250283445676567 | -0.250283445676567 |
58 | 0 | -0.0538619335658962 | 0.0538619335658962 |
59 | 0 | -0.0538619335658962 | 0.0538619335658962 |
60 | 1 | 0.398170410530038 | 0.601829589469962 |
61 | 0 | 0.094025031287575 | -0.094025031287575 |
62 | 0 | 0.285990765451103 | -0.285990765451103 |
63 | 0 | -0.0181546137913597 | 0.0181546137913597 |
64 | 0 | 0.094025031287575 | -0.094025031287575 |
65 | 0 | -0.0181546137913597 | 0.0181546137913597 |
66 | 0 | -0.0181546137913597 | 0.0181546137913597 |
67 | 1 | 0.442520917672752 | 0.557479082327248 |
68 | 0 | -0.0267978011595377 | 0.0267978011595377 |
69 | 0 | -0.0538619335658962 | 0.0538619335658962 |
70 | 0 | 0.245609788457214 | -0.245609788457214 |
71 | 0 | -0.0181546137913597 | 0.0181546137913597 |
72 | 0 | -0.0538619335658962 | 0.0538619335658962 |
73 | 0 | 0.209902468682678 | -0.209902468682678 |
74 | 0 | 0.236966601089036 | -0.236966601089036 |
75 | 0 | -0.0538619335658962 | 0.0538619335658962 |
76 | 0 | 0.143049195649642 | -0.143049195649642 |
77 | 0 | -0.0538619335658962 | 0.0538619335658962 |
78 | 0 | 0.250283445676567 | -0.250283445676567 |
79 | 1 | 0.366432620904327 | 0.633567379095673 |
80 | 0 | 0.178756515424178 | -0.178756515424178 |
81 | 0 | -0.0181546137913597 | 0.0181546137913597 |
82 | 0 | 0.2012592813145 | -0.2012592813145 |
83 | 0 | -0.0181546137913597 | 0.0181546137913597 |
84 | 1 | 0.245609788457214 | 0.754390211542786 |
85 | 0 | -0.0134809565720073 | 0.0134809565720073 |
86 | 0 | -0.0267978011595377 | 0.0267978011595377 |
87 | 0 | -0.019074864047406 | 0.019074864047406 |
88 | 0 | 0.0874923188598963 | -0.0874923188598963 |
89 | 0 | 0.0252756430953085 | -0.0252756430953085 |
90 | 0 | -0.010431676679228 | 0.010431676679228 |
91 | 0 | 0.0656566200891974 | -0.0656566200891974 |
92 | 0 | -0.140564763614141 | 0.140564763614141 |
93 | 0 | 0.0570134327210194 | -0.0570134327210194 |
94 | 0 | 0.0252756430953085 | -0.0252756430953085 |
95 | 0 | -0.131921576245963 | 0.131921576245963 |
96 | 0 | -0.010431676679228 | 0.010431676679228 |
97 | 0 | -0.140564763614141 | 0.140564763614141 |
98 | 0 | 0.0252756430953085 | -0.0252756430953085 |
99 | 0 | 0.0166324557271305 | -0.0166324557271305 |
100 | 0 | -0.010431676679228 | 0.010431676679228 |
101 | 0 | -0.019074864047406 | 0.019074864047406 |
102 | 0 | 0.0252756430953085 | -0.0252756430953085 |
103 | 0 | 0.0252756430953085 | -0.0252756430953085 |
104 | 0 | 0.0252756430953085 | -0.0252756430953085 |
105 | 0 | 0.131842826002611 | -0.131842826002611 |
106 | 0 | 0.0252756430953085 | -0.0252756430953085 |
107 | 0 | 0.0252756430953085 | -0.0252756430953085 |
108 | 0 | 0.123199638634433 | -0.123199638634433 |
109 | 0 | 0.0252756430953085 | -0.0252756430953085 |
110 | 0 | 0.0166324557271305 | -0.0166324557271305 |
111 | 0 | 0.163580615628322 | -0.163580615628322 |
112 | 0 | -0.131921576245963 | 0.131921576245963 |
113 | 0 | 0.289040045343882 | -0.289040045343882 |
114 | 0 | 0.123199638634433 | -0.123199638634433 |
115 | 0 | 0.0166324557271305 | -0.0166324557271305 |
116 | 0 | 0.0252756430953085 | -0.0252756430953085 |
117 | 0 | -0.019074864047406 | 0.019074864047406 |
118 | 0 | 0.0166324557271305 | -0.0166324557271305 |
119 | 0 | 0.0252756430953085 | -0.0252756430953085 |
120 | 0 | -0.010431676679228 | 0.010431676679228 |
121 | 0 | 0.0166324557271305 | -0.0166324557271305 |
122 | 0 | 0.0252756430953085 | -0.0252756430953085 |
123 | 0 | 0.123199638634433 | -0.123199638634433 |
124 | 0 | 0.293713702563235 | -0.293713702563235 |
125 | 0 | -0.010431676679228 | 0.010431676679228 |
126 | 0 | -0.131921576245963 | 0.131921576245963 |
127 | 0 | 0.0656566200891974 | -0.0656566200891974 |
128 | 0 | -0.010431676679228 | 0.010431676679228 |
129 | 0 | 0.0252756430953085 | -0.0252756430953085 |
130 | 0 | -0.010431676679228 | 0.010431676679228 |
131 | 0 | 0.0166324557271305 | -0.0166324557271305 |
132 | 0 | -0.019074864047406 | 0.019074864047406 |
133 | 0 | 0.280396857975704 | -0.280396857975704 |
134 | 0 | 0.0252756430953085 | -0.0252756430953085 |
135 | 0 | 0.0252756430953085 | -0.0252756430953085 |
136 | 0 | 0.0252756430953085 | -0.0252756430953085 |
137 | 0 | 0.285070515195057 | -0.285070515195057 |
138 | 0 | 0.127873295853785 | -0.127873295853785 |
139 | 0 | -0.131921576245963 | 0.131921576245963 |
140 | 0 | 0.0252756430953085 | -0.0252756430953085 |
141 | 1 | 0.253332725569346 | 0.746667274430654 |
142 | 0 | 0.0961355062280743 | -0.0961355062280743 |
143 | 0 | 0.0166324557271305 | -0.0166324557271305 |
144 | 0 | 0.0299493003146609 | -0.0299493003146609 |
145 | 0 | 0.0656566200891974 | -0.0656566200891974 |
146 | 0 | -0.1676288960205 | 0.1676288960205 |
147 | 0 | 0.131842826002611 | -0.131842826002611 |
148 | 0 | -0.131921576245963 | 0.131921576245963 |
149 | 0 | 0.0166324557271305 | -0.0166324557271305 |
150 | 0 | 0.0299493003146609 | -0.0299493003146609 |
151 | 0 | -0.010431676679228 | 0.010431676679228 |
152 | 1 | 0.280396857975704 | 0.719603142024296 |
153 | 1 | 0.320777834969593 | 0.679222165030407 |
154 | 0 | 0.280396857975704 | -0.280396857975704 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
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 | 0.552333381548951 | 0.895333236902098 | 0.447666618451049 |
18 | 0.498808433646321 | 0.997616867292642 | 0.501191566353679 |
19 | 0.459033864114811 | 0.918067728229621 | 0.540966135885189 |
20 | 0.898256713375302 | 0.203486573249395 | 0.101743286624698 |
21 | 0.858304443022268 | 0.283391113955464 | 0.141695556977732 |
22 | 0.847336598349764 | 0.305326803300471 | 0.152663401650235 |
23 | 0.797602175492696 | 0.404795649014609 | 0.202397824507304 |
24 | 0.741548523781277 | 0.516902952437446 | 0.258451476218723 |
25 | 0.744544450955449 | 0.510911098089102 | 0.255455549044551 |
26 | 0.746603618889846 | 0.506792762220307 | 0.253396381110154 |
27 | 0.709123754864895 | 0.58175249027021 | 0.290876245135105 |
28 | 0.661619310863189 | 0.676761378273622 | 0.338380689136811 |
29 | 0.610346232840183 | 0.779307534319634 | 0.389653767159817 |
30 | 0.552527673486854 | 0.894944653026292 | 0.447472326513146 |
31 | 0.491098876009823 | 0.982197752019647 | 0.508901123990177 |
32 | 0.430811172876248 | 0.861622345752496 | 0.569188827123752 |
33 | 0.373062517470081 | 0.746125034940162 | 0.626937482529919 |
34 | 0.325647787432565 | 0.65129557486513 | 0.674352212567435 |
35 | 0.274157524269002 | 0.548315048538004 | 0.725842475730998 |
36 | 0.227128034335945 | 0.45425606867189 | 0.772871965664055 |
37 | 0.307868708679627 | 0.615737417359254 | 0.692131291320373 |
38 | 0.268694601463672 | 0.537389202927344 | 0.731305398536328 |
39 | 0.222809477758687 | 0.445618955517373 | 0.777190522241313 |
40 | 0.2155302899344 | 0.431060579868801 | 0.7844697100656 |
41 | 0.756908679484667 | 0.486182641030665 | 0.243091320515333 |
42 | 0.732520223083432 | 0.534959553833136 | 0.267479776916568 |
43 | 0.687191520364143 | 0.625616959271715 | 0.312808479635857 |
44 | 0.651796463234909 | 0.696407073530182 | 0.348203536765091 |
45 | 0.602067714122892 | 0.795864571754216 | 0.397932285877108 |
46 | 0.551644323223899 | 0.896711353552202 | 0.448355676776101 |
47 | 0.500176134395289 | 0.999647731209423 | 0.499823865604711 |
48 | 0.44886547448748 | 0.897730948974959 | 0.55113452551252 |
49 | 0.39914078168709 | 0.798281563374179 | 0.60085921831291 |
50 | 0.350586815141692 | 0.701173630283384 | 0.649413184858308 |
51 | 0.430176354235219 | 0.860352708470439 | 0.569823645764781 |
52 | 0.701042666320883 | 0.597914667358234 | 0.298957333679117 |
53 | 0.65932316329565 | 0.681353673408701 | 0.34067683670435 |
54 | 0.947530437933819 | 0.104939124132362 | 0.0524695620661808 |
55 | 0.932801092677426 | 0.134397814645148 | 0.0671989073225742 |
56 | 0.96120145078354 | 0.0775970984329206 | 0.0387985492164603 |
57 | 0.960845389780172 | 0.078309220439656 | 0.039154610219828 |
58 | 0.950410315354791 | 0.0991793692904182 | 0.0495896846452091 |
59 | 0.937846932671828 | 0.124306134656343 | 0.0621530673281716 |
60 | 0.9823656070632 | 0.0352687858735993 | 0.0176343929367997 |
61 | 0.979665786133869 | 0.0406684277322615 | 0.0203342138661307 |
62 | 0.981226856345451 | 0.0375462873090974 | 0.0187731436545487 |
63 | 0.975030489148026 | 0.0499390217039486 | 0.0249695108519743 |
64 | 0.973969686813229 | 0.052060626373541 | 0.0260303131867705 |
65 | 0.965879883214941 | 0.0682402335701181 | 0.034120116785059 |
66 | 0.955821291196384 | 0.0883574176072314 | 0.0441787088036157 |
67 | 0.983513346439145 | 0.03297330712171 | 0.016486653560855 |
68 | 0.97794955098473 | 0.0441008980305395 | 0.0220504490152698 |
69 | 0.971395324034238 | 0.0572093519315237 | 0.0286046759657619 |
70 | 0.972183727963416 | 0.055632544073167 | 0.0278162720365835 |
71 | 0.963655902202468 | 0.0726881955950633 | 0.0363440977975316 |
72 | 0.953700220956976 | 0.0925995580860482 | 0.0462997790430241 |
73 | 0.95323156501614 | 0.0935368699677207 | 0.0467684349838603 |
74 | 0.95640506558238 | 0.0871898688352398 | 0.0435949344176199 |
75 | 0.944798396181572 | 0.110403207636855 | 0.0552016038184275 |
76 | 0.94287920581373 | 0.114241588372541 | 0.0571207941862703 |
77 | 0.928620134720746 | 0.142759730558508 | 0.0713798652792542 |
78 | 0.934683843354224 | 0.130632313291551 | 0.0653161566457755 |
79 | 0.98397019525787 | 0.0320596094842602 | 0.0160298047421301 |
80 | 0.980056335857444 | 0.039887328285112 | 0.019943664142556 |
81 | 0.974638296838749 | 0.0507234063225025 | 0.0253617031612513 |
82 | 0.980636759762909 | 0.0387264804741819 | 0.0193632402370909 |
83 | 0.978785876965473 | 0.0424282460690539 | 0.021214123034527 |
84 | 0.998079754802513 | 0.00384049039497375 | 0.00192024519748688 |
85 | 0.997172081654945 | 0.00565583669011056 | 0.00282791834505528 |
86 | 0.995891811733414 | 0.00821637653317247 | 0.00410818826658623 |
87 | 0.994102086678788 | 0.0117958266424246 | 0.0058979133212123 |
88 | 0.992075843120401 | 0.0158483137591976 | 0.00792415687959878 |
89 | 0.988956454828528 | 0.0220870903429441 | 0.0110435451714721 |
90 | 0.984746833177256 | 0.0305063336454887 | 0.0152531668227443 |
91 | 0.979411245406368 | 0.0411775091872639 | 0.0205887545936319 |
92 | 0.974927970249129 | 0.0501440595017426 | 0.0250720297508713 |
93 | 0.966679786832657 | 0.0666404263346866 | 0.0333202131673433 |
94 | 0.956189482160448 | 0.0876210356791043 | 0.0438105178395522 |
95 | 0.946863557572919 | 0.106272884854161 | 0.0531364424270806 |
96 | 0.931700548180495 | 0.136598903639009 | 0.0682994518195047 |
97 | 0.919723852434711 | 0.160552295130579 | 0.0802761475652893 |
98 | 0.898907058189711 | 0.202185883620578 | 0.101092941810289 |
99 | 0.874114638817772 | 0.251770722364456 | 0.125885361182228 |
100 | 0.845532668039435 | 0.308934663921131 | 0.154467331960565 |
101 | 0.812744686783695 | 0.374510626432611 | 0.187255313216305 |
102 | 0.775885749112763 | 0.448228501774475 | 0.224114250887237 |
103 | 0.735083372006826 | 0.529833255986348 | 0.264916627993174 |
104 | 0.69066247862497 | 0.61867504275006 | 0.30933752137503 |
105 | 0.660452053087156 | 0.679095893825687 | 0.339547946912844 |
106 | 0.611154250082886 | 0.777691499834227 | 0.388845749917114 |
107 | 0.559849239797242 | 0.880301520405516 | 0.440150760202758 |
108 | 0.520675336939178 | 0.958649326121643 | 0.479324663060822 |
109 | 0.467584924552802 | 0.935169849105603 | 0.532415075447198 |
110 | 0.413845311089492 | 0.827690622178985 | 0.586154688910508 |
111 | 0.376125772405205 | 0.75225154481041 | 0.623874227594795 |
112 | 0.33980212667668 | 0.679604253353359 | 0.66019787332332 |
113 | 0.387109111011123 | 0.774218222022247 | 0.612890888988877 |
114 | 0.351236885871427 | 0.702473771742854 | 0.648763114128573 |
115 | 0.299993672806924 | 0.599987345613849 | 0.700006327193076 |
116 | 0.25413145276143 | 0.508262905522859 | 0.74586854723857 |
117 | 0.210675872163954 | 0.421351744327908 | 0.789324127836046 |
118 | 0.171033070479226 | 0.342066140958452 | 0.828966929520774 |
119 | 0.137984548283166 | 0.275969096566333 | 0.862015451716834 |
120 | 0.107935861889446 | 0.215871723778893 | 0.892064138110554 |
121 | 0.0826669412912892 | 0.165333882582578 | 0.917333058708711 |
122 | 0.0631268738998776 | 0.126253747799755 | 0.936873126100122 |
123 | 0.0527508145530035 | 0.105501629106007 | 0.947249185446996 |
124 | 0.0674250306116107 | 0.134850061223221 | 0.932574969388389 |
125 | 0.0492769258926627 | 0.0985538517853254 | 0.950723074107337 |
126 | 0.0392307560325524 | 0.0784615120651047 | 0.960769243967448 |
127 | 0.027806938309325 | 0.05561387661865 | 0.972193061690675 |
128 | 0.0189054148298351 | 0.0378108296596702 | 0.981094585170165 |
129 | 0.0128448348486576 | 0.0256896696973153 | 0.987155165151342 |
130 | 0.00826403147321498 | 0.01652806294643 | 0.991735968526785 |
131 | 0.00506264977319264 | 0.0101252995463853 | 0.994937350226807 |
132 | 0.00306728507109609 | 0.00613457014219217 | 0.996932714928904 |
133 | 0.00608031202268172 | 0.0121606240453634 | 0.993919687977318 |
134 | 0.00384726056793034 | 0.00769452113586068 | 0.99615273943207 |
135 | 0.00243070075482986 | 0.00486140150965972 | 0.99756929924517 |
136 | 0.00157596998362879 | 0.00315193996725757 | 0.998424030016371 |
137 | 0.00287869840509714 | 0.00575739681019427 | 0.997121301594903 |
138 | 0.00231375790808838 | 0.00462751581617675 | 0.997686242091912 |
139 | 0.00180326805936054 | 0.00360653611872109 | 0.998196731940639 |
140 | 0.000814415838473431 | 0.00162883167694686 | 0.999185584161527 |
141 | 0.0126092641310792 | 0.0252185282621584 | 0.987390735868921 |
142 | 0.00937833368108185 | 0.0187566673621637 | 0.990621666318918 |
143 | 0.00435469477619353 | 0.00870938955238705 | 0.995645305223806 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 18 | 0.135338345864662 | NOK |
5% type I error level | 40 | 0.300751879699248 | NOK |
10% type I error level | 59 | 0.443609022556391 | NOK |