Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = + 15.2108021258823 -1.39039157714962Weeks[t] -0.0086431873681781UseLimit[t] + 0.156530152221649T40[t] -0.157197219341272T20[t] + 0.263764402248574Used[t] + 0.040380976993889Useful[t] -0.0357073197745366`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) | 15.2108021258823 | 1.712634 | 8.8815 | 0 | 0 |
Weeks | -1.39039157714962 | 0.393317 | -3.535 | 0.000547 | 0.000273 |
UseLimit | -0.0086431873681781 | 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 | 0.040380976993889 | 0.045562 | 0.8863 | 0.376919 | 0.188459 |
`Outcome\r` | -0.0357073197745366 | 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 | 14 | 13.9059749687124 | 0.0940250312875804 |
2 | 14 | 14.0181546137914 | -0.0181546137913614 |
3 | 14 | 14.0181546137914 | -0.0181546137913596 |
4 | 14 | 14.0181546137914 | -0.0181546137913596 |
5 | 14 | 14.0181546137914 | -0.0181546137913596 |
6 | 14 | 14.0221241439402 | -0.0221241439401854 |
7 | 14 | 14.0181546137914 | -0.0181546137913596 |
8 | 14 | 13.8616244615697 | 0.138375538430289 |
9 | 14 | 14.0538619335659 | -0.0538619335658963 |
10 | 14 | 14.0267978011595 | -0.0267978011595377 |
11 | 14 | 13.8702676489379 | 0.129732351062111 |
12 | 14 | 14.0181546137914 | -0.0181546137913596 |
13 | 14 | 13.7140092345489 | 0.285990765451103 |
14 | 14 | 13.8702676489379 | 0.129732351062111 |
15 | 14 | 13.7497165543234 | 0.250283445676567 |
16 | 14 | 13.5931864021018 | 0.406813597898215 |
17 | 13 | 13.5661222696954 | -0.566122269695426 |
18 | 14 | 13.8702676489379 | 0.129732351062111 |
19 | 14 | 14.0538619335659 | -0.0538619335658963 |
20 | 13 | 13.5931864021018 | -0.593186402101784 |
21 | 14 | 13.9864168241656 | 0.0135831758343513 |
22 | 14 | 13.7583597416916 | 0.241640258308389 |
23 | 14 | 14.013480956572 | -0.0134809565720072 |
24 | 14 | 14.0221241439402 | -0.0221241439401853 |
25 | 14 | 13.6335673790957 | 0.366432620904326 |
26 | 14 | 13.7140092345489 | 0.285990765451103 |
27 | 14 | 14.0625051209341 | -0.0625051209340744 |
28 | 14 | 13.7543902115428 | 0.245609788457214 |
29 | 14 | 14.0538619335659 | -0.0538619335658963 |
30 | 14 | 13.9777736367975 | 0.0222263632025294 |
31 | 14 | 14.0181546137914 | -0.0181546137913596 |
32 | 14 | 14.0267978011595 | -0.0267978011595377 |
33 | 14 | 13.9864168241656 | 0.0135831758343513 |
34 | 14 | 13.8973317813442 | 0.102668218655753 |
35 | 14 | 14.0181546137914 | -0.0181546137913596 |
36 | 14 | 14.0181546137914 | -0.0181546137913596 |
37 | 14 | 13.5661222696954 | 0.433877730304574 |
38 | 14 | 13.7900975313173 | 0.209902468682678 |
39 | 14 | 14.013480956572 | -0.0134809565720072 |
40 | 14 | 13.8212434845758 | 0.178756515424178 |
41 | 13 | 13.7497165543234 | -0.749716554323433 |
42 | 14 | 13.7900975313173 | 0.209902468682678 |
43 | 14 | 14.0221241439402 | -0.0221241439401853 |
44 | 14 | 13.8702676489379 | 0.129732351062111 |
45 | 14 | 13.9777736367975 | 0.0222263632025294 |
46 | 14 | 14.013480956572 | -0.0134809565720072 |
47 | 14 | 14.0181546137914 | -0.0181546137913596 |
48 | 14 | 14.0538619335659 | -0.0538619335658963 |
49 | 14 | 14.013480956572 | -0.0134809565720072 |
50 | 14 | 14.0181546137914 | -0.0181546137913596 |
51 | 14 | 13.5978600593211 | 0.402139940678863 |
52 | 13 | 13.5661222696954 | -0.566122269695426 |
53 | 14 | 14.0538619335659 | -0.0538619335658963 |
54 | 13 | 13.7543902115428 | -0.754390211542786 |
55 | 14 | 14.0181546137914 | -0.0181546137913596 |
56 | 14 | 13.6335673790957 | 0.366432620904326 |
57 | 14 | 13.7497165543234 | 0.250283445676567 |
58 | 14 | 14.0538619335659 | -0.0538619335658963 |
59 | 14 | 14.0538619335659 | -0.0538619335658963 |
60 | 13 | 13.60182958947 | -0.601829589469963 |
61 | 14 | 13.9059749687124 | 0.0940250312875745 |
62 | 14 | 13.7140092345489 | 0.285990765451103 |
63 | 14 | 14.0181546137914 | -0.0181546137913596 |
64 | 14 | 13.9059749687124 | 0.0940250312875745 |
65 | 14 | 14.0181546137914 | -0.0181546137913596 |
66 | 14 | 14.0181546137914 | -0.0181546137913596 |
67 | 13 | 13.5574790823272 | -0.557479082327248 |
68 | 14 | 14.0267978011595 | -0.0267978011595377 |
69 | 14 | 14.0538619335659 | -0.0538619335658963 |
70 | 14 | 13.7543902115428 | 0.245609788457214 |
71 | 14 | 14.0181546137914 | -0.0181546137913596 |
72 | 14 | 14.0538619335659 | -0.0538619335658963 |
73 | 14 | 13.7900975313173 | 0.209902468682678 |
74 | 14 | 13.763033398911 | 0.236966601089036 |
75 | 14 | 14.0538619335659 | -0.0538619335658963 |
76 | 14 | 13.8569508043504 | 0.143049195649642 |
77 | 14 | 14.0538619335659 | -0.0538619335658963 |
78 | 14 | 13.7497165543234 | 0.250283445676567 |
79 | 13 | 13.6335673790957 | -0.633567379095673 |
80 | 14 | 13.8212434845758 | 0.178756515424178 |
81 | 14 | 14.0181546137914 | -0.0181546137913596 |
82 | 14 | 13.7987407186855 | 0.2012592813145 |
83 | 14 | 14.0181546137914 | -0.0181546137913596 |
84 | 13 | 13.7543902115428 | -0.754390211542786 |
85 | 14 | 14.013480956572 | -0.0134809565720072 |
86 | 14 | 14.0267978011595 | -0.0267978011595377 |
87 | 14 | 14.0190748640474 | -0.0190748640474062 |
88 | 14 | 13.9125076811401 | 0.0874923188598962 |
89 | 14 | 13.9747243569047 | 0.0252756430953085 |
90 | 14 | 14.0104316766792 | -0.0104316766792281 |
91 | 14 | 13.9343433799108 | 0.0656566200891976 |
92 | 14 | 14.1405647636141 | -0.140564763614141 |
93 | 14 | 13.942986567279 | 0.0570134327210195 |
94 | 14 | 13.9747243569047 | 0.0252756430953085 |
95 | 14 | 14.131921576246 | -0.131921576245963 |
96 | 14 | 14.0104316766792 | -0.0104316766792281 |
97 | 14 | 14.1405647636141 | -0.140564763614141 |
98 | 14 | 13.9747243569047 | 0.0252756430953085 |
99 | 14 | 13.9833675442729 | 0.0166324557271304 |
100 | 14 | 14.0104316766792 | -0.0104316766792281 |
101 | 14 | 14.0190748640474 | -0.0190748640474062 |
102 | 14 | 13.9747243569047 | 0.0252756430953085 |
103 | 14 | 13.9747243569047 | 0.0252756430953085 |
104 | 14 | 13.9747243569047 | 0.0252756430953085 |
105 | 14 | 13.8681571739974 | 0.131842826002611 |
106 | 14 | 13.9747243569047 | 0.0252756430953085 |
107 | 14 | 13.9747243569047 | 0.0252756430953085 |
108 | 14 | 13.8768003613656 | 0.123199638634433 |
109 | 14 | 13.9747243569047 | 0.0252756430953085 |
110 | 14 | 13.9833675442729 | 0.0166324557271304 |
111 | 14 | 13.8364193843717 | 0.163580615628322 |
112 | 14 | 14.131921576246 | -0.131921576245963 |
113 | 14 | 13.7109599546561 | 0.289040045343883 |
114 | 14 | 13.8768003613656 | 0.123199638634433 |
115 | 14 | 13.9833675442729 | 0.0166324557271304 |
116 | 14 | 13.9747243569047 | 0.0252756430953085 |
117 | 14 | 14.0190748640474 | -0.0190748640474062 |
118 | 14 | 13.9833675442729 | 0.0166324557271304 |
119 | 14 | 13.9747243569047 | 0.0252756430953085 |
120 | 14 | 14.0104316766792 | -0.0104316766792281 |
121 | 14 | 13.9833675442729 | 0.0166324557271304 |
122 | 14 | 13.9747243569047 | 0.0252756430953085 |
123 | 14 | 13.8768003613656 | 0.123199638634433 |
124 | 14 | 13.7062862974368 | 0.293713702563235 |
125 | 14 | 14.0104316766792 | -0.0104316766792281 |
126 | 14 | 14.131921576246 | -0.131921576245963 |
127 | 14 | 13.9343433799108 | 0.0656566200891976 |
128 | 14 | 14.0104316766792 | -0.0104316766792281 |
129 | 14 | 13.9747243569047 | 0.0252756430953085 |
130 | 14 | 14.0104316766792 | -0.0104316766792281 |
131 | 14 | 13.9833675442729 | 0.0166324557271304 |
132 | 14 | 14.0190748640474 | -0.0190748640474062 |
133 | 14 | 13.7196031420243 | 0.280396857975704 |
134 | 14 | 13.9747243569047 | 0.0252756430953085 |
135 | 14 | 13.9747243569047 | 0.0252756430953085 |
136 | 14 | 13.9747243569047 | 0.0252756430953085 |
137 | 14 | 13.7149294848049 | 0.285070515195057 |
138 | 14 | 13.8721267041462 | 0.127873295853785 |
139 | 14 | 14.131921576246 | -0.131921576245963 |
140 | 14 | 13.9747243569047 | 0.0252756430953085 |
141 | 13 | 13.7466672744307 | -0.746667274430654 |
142 | 14 | 13.9038644937719 | 0.0961355062280743 |
143 | 14 | 13.9833675442729 | 0.0166324557271304 |
144 | 14 | 13.9700506996853 | 0.0299493003146609 |
145 | 14 | 13.9343433799108 | 0.0656566200891976 |
146 | 14 | 14.1676288960205 | -0.1676288960205 |
147 | 14 | 13.8681571739974 | 0.131842826002611 |
148 | 14 | 14.131921576246 | -0.131921576245963 |
149 | 14 | 13.9833675442729 | 0.0166324557271304 |
150 | 14 | 13.9700506996853 | 0.0299493003146609 |
151 | 14 | 14.0104316766792 | -0.0104316766792281 |
152 | 13 | 13.7196031420243 | -0.719603142024296 |
153 | 13 | 13.6792221650304 | -0.679222165030407 |
154 | 14 | 13.7196031420243 | 0.280396857975704 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 1.08585294657634e-43 | 2.17170589315269e-43 | 1 |
12 | 9.25078989797469e-58 | 1.85015797959494e-57 | 1 |
13 | 5.44348700052474e-73 | 1.08869740010495e-72 | 1 |
14 | 4.45089465337498e-84 | 8.90178930674997e-84 | 1 |
15 | 7.44147210883864e-98 | 1.48829442176773e-97 | 1 |
16 | 0 | 0 | 1 |
17 | 0.552333381548951 | 0.895333236902098 | 0.447666618451049 |
18 | 0.498808433646321 | 0.997616867292643 | 0.501191566353679 |
19 | 0.459033864114809 | 0.918067728229619 | 0.54096613588519 |
20 | 0.898256713375302 | 0.203486573249396 | 0.101743286624698 |
21 | 0.85830444302227 | 0.28339111395546 | 0.14169555697773 |
22 | 0.847336598349764 | 0.305326803300472 | 0.152663401650236 |
23 | 0.797602175492696 | 0.404795649014607 | 0.202397824507304 |
24 | 0.741548523781278 | 0.516902952437445 | 0.258451476218722 |
25 | 0.744544450955449 | 0.510911098089102 | 0.255455549044551 |
26 | 0.746603618889847 | 0.506792762220305 | 0.253396381110153 |
27 | 0.709123754864897 | 0.581752490270206 | 0.290876245135103 |
28 | 0.661619310863189 | 0.676761378273621 | 0.338380689136811 |
29 | 0.610346232840182 | 0.779307534319636 | 0.389653767159818 |
30 | 0.552527673486853 | 0.894944653026294 | 0.447472326513147 |
31 | 0.491098876009824 | 0.982197752019649 | 0.508901123990176 |
32 | 0.430811172876249 | 0.861622345752497 | 0.569188827123751 |
33 | 0.373062517470083 | 0.746125034940166 | 0.626937482529917 |
34 | 0.325647787432567 | 0.651295574865133 | 0.674352212567433 |
35 | 0.274157524269001 | 0.548315048538002 | 0.725842475730999 |
36 | 0.227128034335946 | 0.454256068671892 | 0.772871965664054 |
37 | 0.30786870867963 | 0.61573741735926 | 0.69213129132037 |
38 | 0.268694601463674 | 0.537389202927347 | 0.731305398536326 |
39 | 0.222809477758686 | 0.445618955517372 | 0.777190522241314 |
40 | 0.215530289934401 | 0.431060579868802 | 0.784469710065599 |
41 | 0.756908679484669 | 0.486182641030661 | 0.243091320515331 |
42 | 0.732520223083433 | 0.534959553833134 | 0.267479776916567 |
43 | 0.687191520364142 | 0.625616959271717 | 0.312808479635858 |
44 | 0.65179646323491 | 0.696407073530181 | 0.34820353676509 |
45 | 0.602067714122892 | 0.795864571754216 | 0.397932285877108 |
46 | 0.5516443232239 | 0.896711353552199 | 0.4483556767761 |
47 | 0.500176134395289 | 0.999647731209423 | 0.499823865604711 |
48 | 0.448865474487478 | 0.897730948974957 | 0.551134525512522 |
49 | 0.399140781687088 | 0.798281563374176 | 0.600859218312912 |
50 | 0.35058681514169 | 0.70117363028338 | 0.64941318485831 |
51 | 0.430176354235224 | 0.860352708470448 | 0.569823645764776 |
52 | 0.701042666320884 | 0.597914667358232 | 0.298957333679116 |
53 | 0.659323163295661 | 0.681353673408679 | 0.340676836704339 |
54 | 0.947530437933819 | 0.104939124132361 | 0.0524695620661807 |
55 | 0.932801092677424 | 0.134397814645152 | 0.0671989073225762 |
56 | 0.96120145078354 | 0.0775970984329205 | 0.0387985492164603 |
57 | 0.960845389780172 | 0.0783092204396568 | 0.0391546102198284 |
58 | 0.950410315354791 | 0.099179369290418 | 0.049589684645209 |
59 | 0.937846932671828 | 0.124306134656343 | 0.0621530673281716 |
60 | 0.982365607063201 | 0.0352687858735987 | 0.0176343929367994 |
61 | 0.97966578613387 | 0.0406684277322608 | 0.0203342138661304 |
62 | 0.981226856345451 | 0.0375462873090974 | 0.0187731436545487 |
63 | 0.975030489148025 | 0.049939021703949 | 0.0249695108519745 |
64 | 0.973969686813229 | 0.052060626373541 | 0.0260303131867705 |
65 | 0.965879883214941 | 0.0682402335701184 | 0.0341201167850592 |
66 | 0.955821291196385 | 0.0883574176072294 | 0.0441787088036147 |
67 | 0.983513346439145 | 0.0329733071217101 | 0.0164866535608551 |
68 | 0.97794955098473 | 0.0441008980305398 | 0.0220504490152699 |
69 | 0.971395324034239 | 0.0572093519315221 | 0.028604675965761 |
70 | 0.972183727963417 | 0.0556325440731667 | 0.0278162720365834 |
71 | 0.963655902202468 | 0.0726881955950638 | 0.0363440977975319 |
72 | 0.953700220956975 | 0.0925995580860504 | 0.0462997790430252 |
73 | 0.953231565016141 | 0.0935368699677176 | 0.0467684349838588 |
74 | 0.95640506558238 | 0.087189868835239 | 0.0435949344176195 |
75 | 0.944798396181573 | 0.110403207636855 | 0.0552016038184273 |
76 | 0.94287920581373 | 0.114241588372541 | 0.0571207941862705 |
77 | 0.928620134720745 | 0.14275973055851 | 0.0713798652792551 |
78 | 0.934683843354225 | 0.130632313291549 | 0.0653161566457747 |
79 | 0.98397019525787 | 0.0320596094842599 | 0.0160298047421299 |
80 | 0.980056335857444 | 0.039887328285112 | 0.019943664142556 |
81 | 0.974638296838749 | 0.0507234063225027 | 0.0253617031612513 |
82 | 0.980636759762909 | 0.038726480474182 | 0.019363240237091 |
83 | 0.978785876965474 | 0.0424282460690526 | 0.0212141230345263 |
84 | 0.998079754802513 | 0.00384049039497381 | 0.0019202451974869 |
85 | 0.997172081654945 | 0.00565583669011057 | 0.00282791834505528 |
86 | 0.995891811733414 | 0.00821637653317247 | 0.00410818826658623 |
87 | 0.994102086678788 | 0.0117958266424245 | 0.00589791332121225 |
88 | 0.992075843120401 | 0.0158483137591976 | 0.00792415687959878 |
89 | 0.988956454828528 | 0.0220870903429441 | 0.0110435451714721 |
90 | 0.984746833177256 | 0.030506333645489 | 0.0152531668227445 |
91 | 0.979411245406368 | 0.0411775091872631 | 0.0205887545936315 |
92 | 0.974927970249129 | 0.0501440595017427 | 0.0250720297508714 |
93 | 0.966679786832657 | 0.0666404263346866 | 0.0333202131673433 |
94 | 0.956189482160449 | 0.0876210356791021 | 0.0438105178395511 |
95 | 0.946863557572919 | 0.106272884854161 | 0.0531364424270806 |
96 | 0.931700548180493 | 0.136598903639014 | 0.0682994518195068 |
97 | 0.91972385243471 | 0.160552295130579 | 0.0802761475652896 |
98 | 0.898907058189711 | 0.202185883620578 | 0.101092941810289 |
99 | 0.874114638817771 | 0.251770722364457 | 0.125885361182229 |
100 | 0.845532668039434 | 0.308934663921131 | 0.154467331960566 |
101 | 0.812744686783693 | 0.374510626432613 | 0.187255313216307 |
102 | 0.775885749112762 | 0.448228501774476 | 0.224114250887238 |
103 | 0.735083372006827 | 0.529833255986347 | 0.264916627993173 |
104 | 0.69066247862497 | 0.618675042750061 | 0.30933752137503 |
105 | 0.660452053087156 | 0.679095893825687 | 0.339547946912844 |
106 | 0.611154250082886 | 0.777691499834227 | 0.388845749917114 |
107 | 0.559849239797241 | 0.880301520405518 | 0.440150760202759 |
108 | 0.52067533693918 | 0.958649326121641 | 0.47932466306082 |
109 | 0.467584924552801 | 0.935169849105603 | 0.532415075447199 |
110 | 0.413845311089492 | 0.827690622178985 | 0.586154688910508 |
111 | 0.376125772405205 | 0.752251544810411 | 0.623874227594795 |
112 | 0.339802126676677 | 0.679604253353355 | 0.660197873323323 |
113 | 0.387109111011122 | 0.774218222022244 | 0.612890888988878 |
114 | 0.351236885871427 | 0.702473771742854 | 0.648763114128573 |
115 | 0.299993672806926 | 0.599987345613851 | 0.700006327193075 |
116 | 0.25413145276143 | 0.50826290552286 | 0.74586854723857 |
117 | 0.210675872163952 | 0.421351744327904 | 0.789324127836048 |
118 | 0.171033070479226 | 0.342066140958451 | 0.828966929520774 |
119 | 0.137984548283167 | 0.275969096566333 | 0.862015451716833 |
120 | 0.107935861889446 | 0.215871723778891 | 0.892064138110554 |
121 | 0.0826669412912887 | 0.165333882582577 | 0.917333058708711 |
122 | 0.063126873899878 | 0.126253747799756 | 0.936873126100122 |
123 | 0.0527508145530032 | 0.105501629106006 | 0.947249185446997 |
124 | 0.0674250306116109 | 0.134850061223222 | 0.932574969388389 |
125 | 0.0492769258926627 | 0.0985538517853254 | 0.950723074107337 |
126 | 0.0392307560325522 | 0.0784615120651043 | 0.960769243967448 |
127 | 0.0278069383093251 | 0.0556138766186501 | 0.972193061690675 |
128 | 0.0189054148298351 | 0.0378108296596702 | 0.981094585170165 |
129 | 0.0128448348486576 | 0.0256896696973153 | 0.987155165151342 |
130 | 0.00826403147321504 | 0.0165280629464301 | 0.991735968526785 |
131 | 0.00506264977319267 | 0.0101252995463853 | 0.994937350226807 |
132 | 0.00306728507109617 | 0.00613457014219235 | 0.996932714928904 |
133 | 0.00608031202268168 | 0.0121606240453634 | 0.993919687977318 |
134 | 0.00384726056793034 | 0.00769452113586069 | 0.99615273943207 |
135 | 0.00243070075482986 | 0.00486140150965972 | 0.99756929924517 |
136 | 0.00157596998362881 | 0.00315193996725762 | 0.998424030016371 |
137 | 0.00287869840509721 | 0.00575739681019441 | 0.997121301594903 |
138 | 0.00231375790808837 | 0.00462751581617674 | 0.997686242091912 |
139 | 0.00180326805936054 | 0.00360653611872108 | 0.99819673194064 |
140 | 0.000814415838473451 | 0.0016288316769469 | 0.999185584161527 |
141 | 0.0126092641310792 | 0.0252185282621584 | 0.987390735868921 |
142 | 0.00937833368108187 | 0.0187566673621637 | 0.990621666318918 |
143 | 0.00435469477619355 | 0.0087093895523871 | 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 |