Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = + 1.84666133753089 -0.0325670876738142Weeks[t] + 0.0671514142645897UseLimit[t] + 0.016769064302283T40[t] + 0.0134651887545173T20[t] -0.00339586540832435Used[t] + 0.0073765497321682Useful[t] + 0.000596404022650314Outcome[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) | 1.84666133753089 | 0.237776 | 7.7664 | 0 | 0 |
Weeks | -0.0325670876738142 | 0.026251 | -1.2406 | 0.216751 | 0.108375 |
UseLimit | 0.0671514142645897 | 0.048346 | 1.389 | 0.166952 | 0.083476 |
T40 | 0.016769064302283 | 0.06813 | 0.2461 | 0.805924 | 0.402962 |
T20 | 0.0134651887545173 | 0.078992 | 0.1705 | 0.864882 | 0.432441 |
Used | -0.00339586540832435 | 0.052207 | -0.065 | 0.948226 | 0.474113 |
Useful | 0.0073765497321682 | 0.053083 | 0.139 | 0.889671 | 0.444835 |
Outcome | 0.000596404022650314 | 0.046065 | 0.0129 | 0.989688 | 0.494844 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.167730663414516 |
R-squared | 0.0281335754494737 |
Adjusted R-squared | -0.0184627599741816 |
F-TEST (value) | 0.603772275087351 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 146 |
p-value | 0.752087095946061 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.271394658786972 |
Sum Squared Residuals | 10.7536388794422 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.83580161558188 | 0.164198384418121 |
2 | 2 | 1.9203184981714 | 0.0796815018285971 |
3 | 2 | 1.9203184981714 | 0.0796815018285973 |
4 | 2 | 1.9203184981714 | 0.0796815018285972 |
5 | 2 | 1.9203184981714 | 0.0796815018285973 |
6 | 2 | 1.84519413015199 | 0.154805869848005 |
7 | 2 | 1.9203184981714 | 0.0796815018285972 |
8 | 2 | 1.90354943386912 | 0.0964505661308802 |
9 | 2 | 1.91972209414875 | 0.0802779058512475 |
10 | 2 | 1.85316708390681 | 0.146832916093187 |
11 | 2 | 1.83639801960453 | 0.16360198039547 |
12 | 2 | 1.9203184981714 | 0.0796815018285972 |
13 | 2 | 1.91633781384756 | 0.0836621861524411 |
14 | 2 | 1.83639801960453 | 0.16360198039547 |
15 | 2 | 1.91574140982491 | 0.0842585901750914 |
16 | 2 | 1.89897234552263 | 0.101027654477374 |
17 | 2 | 1.83241733528069 | 0.167582664719314 |
18 | 1 | 1.83639801960453 | -0.83639801960453 |
19 | 2 | 1.91972209414875 | 0.0802779058512475 |
20 | 2 | 1.89897234552263 | 0.101027654477374 |
21 | 1 | 1.84579053417464 | -0.845790534174645 |
22 | 2 | 1.84858999556032 | 0.151410004439681 |
23 | 2 | 1.91234554441658 | 0.0876544555834157 |
24 | 2 | 1.84519413015199 | 0.154805869848005 |
25 | 2 | 1.90634889525479 | 0.0936511047452062 |
26 | 2 | 1.91633781384756 | 0.0836621861524411 |
27 | 2 | 1.85257067988416 | 0.147429320115837 |
28 | 2 | 1.92371436357973 | 0.0762856364202729 |
29 | 2 | 1.91972209414875 | 0.0802779058512475 |
30 | 2 | 1.91294194843923 | 0.0870580515607654 |
31 | 2 | 1.9203184981714 | 0.0796815018285972 |
32 | 2 | 1.85316708390681 | 0.146832916093187 |
33 | 2 | 1.84579053417465 | 0.154209465825355 |
34 | 2 | 1.90295302984647 | 0.0970469701535305 |
35 | 2 | 1.9203184981714 | 0.0796815018285972 |
36 | 2 | 1.9203184981714 | 0.0796815018285972 |
37 | 2 | 1.83241733528069 | 0.167582664719314 |
38 | 2 | 1.92311795955708 | 0.0768820404429232 |
39 | 2 | 1.91234554441658 | 0.0876544555834157 |
40 | 2 | 1.89617288413695 | 0.103827115863048 |
41 | 2 | 1.91574140982491 | 0.0842585901750914 |
42 | 1 | 1.92311795955708 | -0.923117959557077 |
43 | 2 | 1.84519413015199 | 0.154805869848005 |
44 | 2 | 1.83639801960453 | 0.16360198039547 |
45 | 2 | 1.91294194843923 | 0.0870580515607654 |
46 | 2 | 1.91234554441658 | 0.0876544555834157 |
47 | 2 | 1.9203184981714 | 0.0796815018285972 |
48 | 2 | 1.91972209414875 | 0.0802779058512475 |
49 | 2 | 1.91234554441658 | 0.0876544555834157 |
50 | 2 | 1.9203184981714 | 0.0796815018285972 |
51 | 2 | 1.90694529927744 | 0.0930547007225559 |
52 | 2 | 1.83241733528069 | 0.167582664719314 |
53 | 1 | 1.91972209414875 | -0.919722094148752 |
54 | 2 | 1.92371436357973 | 0.0762856364202729 |
55 | 1 | 1.9203184981714 | -0.920318498171403 |
56 | 2 | 1.90634889525479 | 0.0936511047452062 |
57 | 2 | 1.91574140982491 | 0.0842585901750914 |
58 | 2 | 1.91972209414875 | 0.0802779058512475 |
59 | 2 | 1.91972209414875 | 0.0802779058512475 |
60 | 2 | 1.83182093125804 | 0.168179068741964 |
61 | 1 | 1.83580161558188 | -0.83580161558188 |
62 | 2 | 1.91633781384756 | 0.0836621861524411 |
63 | 2 | 1.9203184981714 | 0.0796815018285972 |
64 | 2 | 1.83580161558188 | 0.16419838441812 |
65 | 2 | 1.9203184981714 | 0.0796815018285972 |
66 | 2 | 1.9203184981714 | 0.0796815018285972 |
67 | 2 | 1.89956874954528 | 0.100431250454724 |
68 | 1 | 1.85316708390681 | -0.853167083906813 |
69 | 2 | 1.91972209414875 | 0.0802779058512475 |
70 | 2 | 1.92371436357973 | 0.0762856364202729 |
71 | 2 | 1.9203184981714 | 0.0796815018285972 |
72 | 2 | 1.91972209414875 | 0.0802779058512475 |
73 | 2 | 1.92311795955708 | 0.0768820404429232 |
74 | 2 | 1.85656294931514 | 0.143437050684863 |
75 | 2 | 1.91972209414875 | 0.0802779058512475 |
76 | 2 | 1.8955764801143 | 0.104423519885699 |
77 | 2 | 1.91972209414875 | 0.0802779058512475 |
78 | 2 | 1.91574140982491 | 0.0842585901750914 |
79 | 2 | 1.90634889525479 | 0.0936511047452062 |
80 | 1 | 1.89617288413695 | -0.896172884136952 |
81 | 2 | 1.9203184981714 | 0.0796815018285972 |
82 | 2 | 1.85596654529249 | 0.144033454707513 |
83 | 2 | 1.9203184981714 | 0.0796815018285972 |
84 | 2 | 1.92371436357973 | 0.0762856364202729 |
85 | 1 | 1.91234554441658 | -0.912345544416584 |
86 | 2 | 1.85316708390681 | 0.146832916093187 |
87 | 2 | 1.91770485523179 | 0.0822951447682088 |
88 | 2 | 1.9076355318856 | 0.0923644681144018 |
89 | 2 | 1.98545267351903 | 0.0145473264809688 |
90 | 2 | 1.98485626949638 | 0.0151437305036192 |
91 | 2 | 1.97807612378686 | 0.0219238762131371 |
92 | 2 | 1.90483607049992 | 0.0951639295000758 |
93 | 2 | 1.91092470952227 | 0.0890752904777267 |
94 | 2 | 1.98545267351903 | 0.0145473264809688 |
95 | 2 | 1.97198748476451 | 0.0280125152354861 |
96 | 2 | 1.98485626949638 | 0.0151437305036192 |
97 | 2 | 1.90483607049992 | 0.0951639295000758 |
98 | 2 | 1.98545267351903 | 0.0145473264809688 |
99 | 2 | 1.91830125925444 | 0.0816987407455585 |
100 | 2 | 1.98485626949638 | 0.0151437305036192 |
101 | 2 | 1.91770485523179 | 0.0822951447682088 |
102 | 2 | 1.98545267351903 | 0.0145473264809688 |
103 | 2 | 1.98545267351903 | 0.0145473264809688 |
104 | 2 | 1.98545267351903 | 0.0145473264809688 |
105 | 2 | 1.97538335017284 | 0.0246166498271618 |
106 | 2 | 1.98545267351903 | 0.0145473264809688 |
107 | 2 | 1.98545267351903 | 0.0145473264809688 |
108 | 2 | 1.90823193590825 | 0.0917680640917515 |
109 | 2 | 1.98545267351903 | 0.0145473264809688 |
110 | 2 | 1.91830125925444 | 0.0816987407455585 |
111 | 2 | 1.90085538617608 | 0.0991446138239196 |
112 | 2 | 1.97198748476451 | 0.0280125152354861 |
113 | 2 | 1.98884853892736 | 0.0111514610726445 |
114 | 2 | 1.90823193590825 | 0.0917680640917515 |
115 | 2 | 1.91830125925444 | 0.0816987407455585 |
116 | 2 | 1.98545267351903 | 0.0145473264809688 |
117 | 2 | 1.91770485523179 | 0.0822951447682088 |
118 | 2 | 1.91830125925444 | 0.0816987407455585 |
119 | 2 | 1.98545267351903 | 0.0145473264809688 |
120 | 2 | 1.98485626949638 | 0.0151437305036192 |
121 | 2 | 1.91830125925444 | 0.0816987407455585 |
122 | 2 | 1.98545267351903 | 0.0145473264809688 |
123 | 2 | 1.90823193590825 | 0.0917680640917515 |
124 | 2 | 1.98087558517254 | 0.019124414827463 |
125 | 2 | 1.98485626949638 | 0.0151437305036192 |
126 | 2 | 1.97198748476451 | 0.0280125152354861 |
127 | 2 | 1.97807612378686 | 0.0219238762131371 |
128 | 2 | 1.98485626949638 | 0.0151437305036192 |
129 | 2 | 1.98545267351903 | 0.0145473264809688 |
130 | 2 | 1.98485626949638 | 0.0151437305036192 |
131 | 2 | 1.91830125925444 | 0.0816987407455585 |
132 | 2 | 1.91770485523179 | 0.0822951447682088 |
133 | 2 | 1.92169712466277 | 0.0783028753372342 |
134 | 2 | 1.98545267351903 | 0.0145473264809688 |
135 | 2 | 1.98545267351903 | 0.0145473264809688 |
136 | 2 | 1.98545267351903 | 0.0145473264809688 |
137 | 2 | 1.91372417090795 | 0.0862758290920527 |
138 | 2 | 1.90025898215343 | 0.09974101784657 |
139 | 2 | 1.97198748476451 | 0.0280125152354861 |
140 | 2 | 1.98545267351903 | 0.0145473264809688 |
141 | 2 | 1.98825213490471 | 0.0117478650952948 |
142 | 1 | 1.97478694615019 | -0.974786946150188 |
143 | 2 | 1.91830125925444 | 0.0816987407455585 |
144 | 2 | 1.97747971976421 | 0.0225202802357874 |
145 | 2 | 1.97807612378686 | 0.0219238762131371 |
146 | 2 | 1.97139108074186 | 0.0286089192581365 |
147 | 2 | 1.97538335017284 | 0.0246166498271618 |
148 | 2 | 1.97198748476451 | 0.0280125152354861 |
149 | 2 | 1.91830125925444 | 0.0816987407455585 |
150 | 2 | 1.97747971976421 | 0.0225202802357874 |
151 | 2 | 1.98485626949638 | 0.0151437305036192 |
152 | 2 | 1.92169712466277 | 0.0783028753372342 |
153 | 1 | 1.9143205749306 | -0.914320574930597 |
154 | 1 | 1.92169712466277 | -0.921697124662766 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 6.58261576575306e-49 | 1.31652315315061e-48 | 1 |
12 | 9.77286533510205e-61 | 1.95457306702041e-60 | 1 |
13 | 3.56574265702688e-86 | 7.13148531405376e-86 | 1 |
14 | 4.42418605745902e-90 | 8.84837211491804e-90 | 1 |
15 | 7.11218556881011e-105 | 1.42243711376202e-104 | 1 |
16 | 0 | 0 | 1 |
17 | 3.97391654233201e-145 | 7.94783308466403e-145 | 1 |
18 | 0.588757665567259 | 0.822484668865483 | 0.411242334432741 |
19 | 0.498645378418953 | 0.997290756837906 | 0.501354621581047 |
20 | 0.410266190522156 | 0.820532381044311 | 0.589733809477844 |
21 | 0.76134618880233 | 0.47730762239534 | 0.23865381119767 |
22 | 0.700495790932279 | 0.599008418135441 | 0.299504209067721 |
23 | 0.679957228778981 | 0.640085542442038 | 0.320042771221019 |
24 | 0.667559272349875 | 0.664881455300251 | 0.332440727650125 |
25 | 0.651042746694499 | 0.697914506611002 | 0.348957253305501 |
26 | 0.584923188895472 | 0.830153622209056 | 0.415076811104528 |
27 | 0.517151665063262 | 0.965696669873477 | 0.482848334936738 |
28 | 0.458770528563974 | 0.917541057127948 | 0.541229471436026 |
29 | 0.399940566952541 | 0.799881133905083 | 0.600059433047459 |
30 | 0.36037314136286 | 0.720746282725719 | 0.63962685863714 |
31 | 0.301843214804257 | 0.603686429608514 | 0.698156785195743 |
32 | 0.267199452775211 | 0.534398905550421 | 0.732800547224789 |
33 | 0.257217831197733 | 0.514435662395467 | 0.742782168802267 |
34 | 0.209704583023835 | 0.419409166047669 | 0.790295416976165 |
35 | 0.16818805396612 | 0.336376107932241 | 0.83181194603388 |
36 | 0.132759107926525 | 0.26551821585305 | 0.867240892073475 |
37 | 0.11747096143518 | 0.234941922870361 | 0.88252903856482 |
38 | 0.0989192530024441 | 0.197838506004888 | 0.901080746997556 |
39 | 0.0759261204622519 | 0.151852240924504 | 0.924073879537748 |
40 | 0.0609568681836613 | 0.121913736367323 | 0.939043131816339 |
41 | 0.0466800575782252 | 0.0933601151564504 | 0.953319942421775 |
42 | 0.548830459725061 | 0.902339080549878 | 0.451169540274939 |
43 | 0.506322089715224 | 0.987355820569553 | 0.493677910284776 |
44 | 0.471231949106316 | 0.942463898212632 | 0.528768050893684 |
45 | 0.421808445605974 | 0.843616891211949 | 0.578191554394026 |
46 | 0.375124759883811 | 0.750249519767623 | 0.624875240116189 |
47 | 0.328539185969855 | 0.65707837193971 | 0.671460814030145 |
48 | 0.284171623754454 | 0.568343247508909 | 0.715828376245546 |
49 | 0.247082448996818 | 0.494164897993637 | 0.752917551003181 |
50 | 0.210376264195009 | 0.420752528390018 | 0.789623735804991 |
51 | 0.177736709774647 | 0.355473419549294 | 0.822263290225353 |
52 | 0.160724477668793 | 0.321448955337587 | 0.839275522331207 |
53 | 0.641960860257291 | 0.716078279485417 | 0.358039139742709 |
54 | 0.598448231476341 | 0.803103537047318 | 0.401551768523659 |
55 | 0.929248113831168 | 0.141503772337664 | 0.0707518861688318 |
56 | 0.914895641556281 | 0.170208716887437 | 0.0851043584437186 |
57 | 0.896195228225601 | 0.207609543548799 | 0.103804771774399 |
58 | 0.875060887098331 | 0.249878225803337 | 0.124939112901669 |
59 | 0.850882216741217 | 0.298235566517567 | 0.149117783258783 |
60 | 0.848749327094163 | 0.302501345811674 | 0.151250672905837 |
61 | 0.971554500717884 | 0.0568909985642312 | 0.0284454992821156 |
62 | 0.966171428045696 | 0.0676571439086085 | 0.0338285719543043 |
63 | 0.957121271158403 | 0.0857574576831951 | 0.0428787288415975 |
64 | 0.951151833921846 | 0.097696332156308 | 0.048848166078154 |
65 | 0.939157422115983 | 0.121685155768035 | 0.0608425778840173 |
66 | 0.925064472382021 | 0.149871055235958 | 0.0749355276179792 |
67 | 0.92383044149609 | 0.152339117007821 | 0.0761695585039103 |
68 | 0.993694420575847 | 0.0126111588483055 | 0.00630557942415275 |
69 | 0.991435845116967 | 0.0171283097660654 | 0.00856415488303269 |
70 | 0.988782529672381 | 0.0224349406552388 | 0.0112174703276194 |
71 | 0.98502445680626 | 0.0299510863874805 | 0.0149755431937402 |
72 | 0.980247291942339 | 0.0395054161153213 | 0.0197527080576606 |
73 | 0.974730668265942 | 0.0505386634681166 | 0.0252693317340583 |
74 | 0.970989670510977 | 0.0580206589780458 | 0.0290103294890229 |
75 | 0.962774928380891 | 0.0744501432382172 | 0.0372250716191086 |
76 | 0.967606312779223 | 0.0647873744415537 | 0.0323936872207769 |
77 | 0.958680603367738 | 0.0826387932645248 | 0.0413193966322624 |
78 | 0.956983714360826 | 0.0860325712783487 | 0.0430162856391743 |
79 | 0.983865525835211 | 0.0322689483295785 | 0.0161344741647892 |
80 | 0.995299693881887 | 0.00940061223622627 | 0.00470030611811314 |
81 | 0.993730013371683 | 0.0125399732566348 | 0.00626998662831742 |
82 | 0.99372015365677 | 0.0125596926864591 | 0.00627984634322954 |
83 | 0.992584315087764 | 0.0148313698244726 | 0.00741568491223631 |
84 | 0.996010826809078 | 0.00797834638184491 | 0.00398917319092245 |
85 | 0.999859431986565 | 0.000281136026869412 | 0.000140568013434706 |
86 | 0.999785856967922 | 0.000428286064156535 | 0.000214143032078267 |
87 | 0.999657434965849 | 0.00068513006830204 | 0.00034256503415102 |
88 | 0.99952682087924 | 0.000946358241520607 | 0.000473179120760304 |
89 | 0.999263603841545 | 0.00147279231691008 | 0.00073639615845504 |
90 | 0.998866250761414 | 0.00226749847717129 | 0.00113374923858564 |
91 | 0.998276785671512 | 0.00344642865697541 | 0.00172321432848771 |
92 | 0.99745374157088 | 0.00509251685823983 | 0.00254625842911991 |
93 | 0.996249889554718 | 0.00750022089056455 | 0.00375011044528228 |
94 | 0.994536380928717 | 0.0109272381425667 | 0.00546361907128334 |
95 | 0.992211090291712 | 0.0155778194165763 | 0.00778890970828815 |
96 | 0.988953557662668 | 0.0220928846746639 | 0.0110464423373319 |
97 | 0.984704261077488 | 0.0305914778450236 | 0.0152957389225118 |
98 | 0.978896944792269 | 0.0422061104154622 | 0.0211030552077311 |
99 | 0.971331926188521 | 0.057336147622957 | 0.0286680738114785 |
100 | 0.96153247467696 | 0.0769350506460806 | 0.0384675253230403 |
101 | 0.949185904750026 | 0.101628190499949 | 0.0508140952499744 |
102 | 0.933704419014364 | 0.132591161971273 | 0.0662955809856365 |
103 | 0.914694471456447 | 0.170611057087106 | 0.0853055285435529 |
104 | 0.891740976872965 | 0.216518046254071 | 0.108259023127035 |
105 | 0.874503703128854 | 0.250992593742292 | 0.125496296871146 |
106 | 0.844249435783102 | 0.311501128433797 | 0.155750564216898 |
107 | 0.809340828297828 | 0.381318343404345 | 0.190659171702172 |
108 | 0.785381973716767 | 0.429236052566466 | 0.214618026283233 |
109 | 0.742816191466339 | 0.514367617067321 | 0.257183808533661 |
110 | 0.696152170178921 | 0.607695659642159 | 0.303847829821079 |
111 | 0.670609731952516 | 0.658780536094968 | 0.329390268047484 |
112 | 0.618073151516385 | 0.763853696967229 | 0.381926848483615 |
113 | 0.605723061837981 | 0.788553876324038 | 0.394276938162019 |
114 | 0.589594382219739 | 0.820811235560522 | 0.410405617780261 |
115 | 0.532731268991057 | 0.934537462017887 | 0.467268731008943 |
116 | 0.47448429983721 | 0.948968599674421 | 0.525515700162789 |
117 | 0.416722577876137 | 0.833445155752275 | 0.583277422123863 |
118 | 0.359971717134252 | 0.719943434268503 | 0.640028282865748 |
119 | 0.305595006437438 | 0.611190012874876 | 0.694404993562562 |
120 | 0.254787229340498 | 0.509574458680995 | 0.745212770659502 |
121 | 0.208399571416191 | 0.416799142832382 | 0.791600428583809 |
122 | 0.166951448649966 | 0.333902897299931 | 0.833048551350034 |
123 | 0.167610996158305 | 0.33522199231661 | 0.832389003841695 |
124 | 0.159573411046899 | 0.319146822093798 | 0.840426588953101 |
125 | 0.123719232144472 | 0.247438464288944 | 0.876280767855528 |
126 | 0.093414347824011 | 0.186828695648022 | 0.906585652175989 |
127 | 0.0688617280398539 | 0.137723456079708 | 0.931138271960146 |
128 | 0.049400527037292 | 0.098801054074584 | 0.950599472962708 |
129 | 0.0342608045092164 | 0.0685216090184327 | 0.965739195490784 |
130 | 0.023160429697915 | 0.0463208593958299 | 0.976839570302085 |
131 | 0.0150275444862083 | 0.0300550889724166 | 0.984972455513792 |
132 | 0.00965773857614343 | 0.0193154771522869 | 0.990342261423857 |
133 | 0.0110610978237165 | 0.022122195647433 | 0.988938902176283 |
134 | 0.00663047898783273 | 0.0132609579756655 | 0.993369521012167 |
135 | 0.00380461492900283 | 0.00760922985800566 | 0.996195385070997 |
136 | 0.00208485512217354 | 0.00416971024434708 | 0.997915144877827 |
137 | 0.00232001764035852 | 0.00464003528071705 | 0.997679982359642 |
138 | 0.0182217993981896 | 0.0364435987963792 | 0.98177820060181 |
139 | 0.00996031327686871 | 0.0199206265537374 | 0.990039686723131 |
140 | 0.0149961280339426 | 0.0299922560678853 | 0.985003871966057 |
141 | 0.0112785439247125 | 0.0225570878494251 | 0.988721456075287 |
142 | 0.0348492559127727 | 0.0696985118255455 | 0.965150744087227 |
143 | 0.017499822701514 | 0.0349996454030281 | 0.982500177298486 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 21 | 0.157894736842105 | NOK |
5% type I error level | 45 | 0.338345864661654 | NOK |
10% type I error level | 61 | 0.458646616541353 | NOK |