Multiple Linear Regression - Estimated Regression Equation |
CorrectAnalysis[t] = -1.18590431043195 + 0.291925928331766Weeks[t] -0.00869016317841548UseLimit[t] + 0.156816646607144Group[t] + 0.263676267751805Used[t] + 0.0403960440657074Useful[t] -0.0356946105921077Outcome[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) | -1.18590431043195 | 0.317696 | -3.7328 | 0.00027 | 0.000135 |
Weeks | 0.291925928331766 | 0.077937 | 3.7457 | 0.000258 | 0.000129 |
UseLimit | -0.00869016317841548 | 0.040854 | -0.2127 | 0.831847 | 0.415924 |
Group | 0.156816646607144 | 0.043208 | 3.6293 | 0.000391 | 0.000196 |
Used | 0.263676267751805 | 0.043007 | 6.1311 | 0 | 0 |
Useful | 0.0403960440657074 | 0.04536 | 0.8906 | 0.374617 | 0.187309 |
Outcome | -0.0356946105921077 | 0.039365 | -0.9068 | 0.366023 | 0.183011 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.532932958766495 |
R-squared | 0.28401753853961 |
Adjusted R-squared | 0.254793764602451 |
F-TEST (value) | 9.7187152881194 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 5.25346932622739e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.232149076014747 |
Sum Squared Residuals | 7.92229944369158 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.0942312757317399 | -0.0942312757317399 |
2 | 0 | -0.0182005971048815 | 0.0182005971048815 |
3 | 0 | -0.0182005971048816 | 0.0182005971048816 |
4 | 0 | -0.0182005971048814 | 0.0182005971048814 |
5 | 0 | -0.0182005971048812 | 0.0182005971048812 |
6 | 0 | -0.0221893268096971 | 0.0221893268096971 |
7 | 0 | -0.0182005971048813 | 0.0182005971048813 |
8 | 0 | 0.138616049502263 | -0.138616049502263 |
9 | 0 | -0.053895207696989 | 0.053895207696989 |
10 | 0 | -0.0268907602832968 | 0.0268907602832968 |
11 | 0 | 0.129925886323847 | -0.129925886323847 |
12 | 0 | -0.0182005971048813 | 0.0182005971048813 |
13 | 0 | 0.285871714712631 | -0.285871714712631 |
14 | 0 | 0.129925886323847 | -0.129925886323847 |
15 | 0 | 0.250177104120523 | -0.250177104120523 |
16 | 0 | 0.406993750727667 | -0.406993750727667 |
17 | 1 | 0.433998198141359 | 0.566001801858641 |
18 | 0 | 0.129925886323847 | -0.129925886323847 |
19 | 0 | -0.053895207696989 | 0.053895207696989 |
20 | 1 | 0.406993750727667 | 0.593006249272333 |
21 | 0 | 0.0135052837824107 | -0.0135052837824107 |
22 | 0 | 0.241486940942108 | -0.241486940942108 |
23 | 0 | -0.0134991636312816 | 0.0134991636312816 |
24 | 0 | -0.0221893268096971 | 0.0221893268096971 |
25 | 0 | 0.36659770666196 | -0.36659770666196 |
26 | 0 | 0.285871714712631 | -0.285871714712631 |
27 | 0 | -0.0625853708754045 | 0.0625853708754045 |
28 | 0 | 0.245475670646924 | -0.245475670646924 |
29 | 0 | -0.053895207696989 | 0.053895207696989 |
30 | 0 | 0.0221954469608261 | -0.0221954469608261 |
31 | 0 | -0.0182005971048813 | 0.0182005971048813 |
32 | 0 | -0.0268907602832968 | 0.0268907602832968 |
33 | 0 | 0.0135052837824107 | -0.0135052837824107 |
34 | 0 | 0.102921438910155 | -0.102921438910155 |
35 | 0 | -0.0182005971048813 | 0.0182005971048813 |
36 | 0 | -0.0182005971048813 | 0.0182005971048813 |
37 | 0 | 0.43399819814136 | -0.43399819814136 |
38 | 0 | 0.209781060054816 | -0.209781060054816 |
39 | 0 | -0.0134991636312816 | 0.0134991636312816 |
40 | 0 | 0.17901209356797 | -0.17901209356797 |
41 | 1 | 0.250177104120523 | 0.749822895879477 |
42 | 0 | 0.209781060054816 | -0.209781060054816 |
43 | 0 | -0.0221893268096971 | 0.0221893268096971 |
44 | 0 | 0.129925886323847 | -0.129925886323847 |
45 | 0 | 0.0221954469608261 | -0.0221954469608261 |
46 | 0 | -0.0134991636312816 | 0.0134991636312816 |
47 | 0 | -0.0182005971048813 | 0.0182005971048813 |
48 | 0 | -0.053895207696989 | 0.053895207696989 |
49 | 0 | -0.0134991636312816 | 0.0134991636312816 |
50 | 0 | -0.0182005971048813 | 0.0182005971048813 |
51 | 0 | 0.402292317254068 | -0.402292317254068 |
52 | 1 | 0.433998198141359 | 0.566001801858641 |
53 | 0 | -0.053895207696989 | 0.053895207696989 |
54 | 1 | 0.245475670646924 | 0.754524329353076 |
55 | 0 | -0.0182005971048813 | 0.0182005971048813 |
56 | 0 | 0.36659770666196 | -0.36659770666196 |
57 | 0 | 0.250177104120523 | -0.250177104120523 |
58 | 0 | -0.053895207696989 | 0.053895207696989 |
59 | 0 | -0.053895207696989 | 0.053895207696989 |
60 | 1 | 0.398303587549252 | 0.601696412450748 |
61 | 0 | 0.0942312757317396 | -0.0942312757317396 |
62 | 0 | 0.285871714712631 | -0.285871714712631 |
63 | 0 | -0.0182005971048813 | 0.0182005971048813 |
64 | 0 | 0.0942312757317396 | -0.0942312757317396 |
65 | 0 | -0.0182005971048813 | 0.0182005971048813 |
66 | 0 | -0.0182005971048813 | 0.0182005971048813 |
67 | 1 | 0.442688361319775 | 0.557311638680225 |
68 | 0 | -0.0268907602832968 | 0.0268907602832968 |
69 | 0 | -0.053895207696989 | 0.053895207696989 |
70 | 0 | 0.245475670646924 | -0.245475670646924 |
71 | 0 | -0.0182005971048813 | 0.0182005971048813 |
72 | 0 | -0.053895207696989 | 0.053895207696989 |
73 | 0 | 0.209781060054816 | -0.209781060054816 |
74 | 0 | 0.236785507468508 | -0.236785507468508 |
75 | 0 | -0.053895207696989 | 0.053895207696989 |
76 | 0 | 0.143317482975862 | -0.143317482975862 |
77 | 0 | -0.053895207696989 | 0.053895207696989 |
78 | 0 | 0.250177104120523 | -0.250177104120523 |
79 | 1 | 0.36659770666196 | 0.63340229333804 |
80 | 0 | 0.17901209356797 | -0.17901209356797 |
81 | 0 | -0.0182005971048813 | 0.0182005971048813 |
82 | 0 | 0.2010908968764 | -0.2010908968764 |
83 | 0 | -0.0182005971048813 | 0.0182005971048813 |
84 | 1 | 0.245475670646924 | 0.754524329353076 |
85 | 0 | -0.0134991636312816 | 0.0134991636312816 |
86 | 0 | -0.0268907602832968 | 0.0268907602832968 |
87 | 0 | -0.0191706411103607 | 0.0191706411103607 |
88 | 0 | 0.0876889800343001 | -0.0876889800343001 |
89 | 0 | 0.0252141326601625 | -0.0252141326601625 |
90 | 0 | -0.0104804779319452 | 0.0104804779319452 |
91 | 0 | 0.0656101767258699 | -0.0656101767258699 |
92 | 0 | -0.140292677125397 | 0.140292677125397 |
93 | 0 | 0.0569200135474545 | -0.0569200135474545 |
94 | 0 | 0.0252141326601625 | -0.0252141326601625 |
95 | 0 | -0.131602513946982 | 0.131602513946982 |
96 | 0 | -0.0104804779319452 | 0.0104804779319452 |
97 | 0 | -0.140292677125397 | 0.140292677125397 |
98 | 0 | 0.0252141326601625 | -0.0252141326601625 |
99 | 0 | 0.0165239694817471 | -0.0165239694817471 |
100 | 0 | -0.0104804779319452 | 0.0104804779319452 |
101 | 0 | -0.0191706411103607 | 0.0191706411103607 |
102 | 0 | 0.0252141326601625 | -0.0252141326601625 |
103 | 0 | 0.0252141326601625 | -0.0252141326601625 |
104 | 0 | 0.0252141326601625 | -0.0252141326601625 |
105 | 0 | 0.132073753804823 | -0.132073753804823 |
106 | 0 | 0.0252141326601625 | -0.0252141326601625 |
107 | 0 | 0.0252141326601625 | -0.0252141326601625 |
108 | 0 | 0.123383590626408 | -0.123383590626408 |
109 | 0 | 0.0252141326601625 | -0.0252141326601625 |
110 | 0 | 0.0165239694817471 | -0.0165239694817471 |
111 | 0 | 0.163779634692115 | -0.163779634692115 |
112 | 0 | -0.131602513946982 | 0.131602513946982 |
113 | 0 | 0.288890400411967 | -0.288890400411967 |
114 | 0 | 0.123383590626408 | -0.123383590626408 |
115 | 0 | 0.0165239694817471 | -0.0165239694817471 |
116 | 0 | 0.0252141326601625 | -0.0252141326601625 |
117 | 0 | -0.0191706411103607 | 0.0191706411103607 |
118 | 0 | 0.0165239694817471 | -0.0165239694817471 |
119 | 0 | 0.0252141326601625 | -0.0252141326601625 |
120 | 0 | -0.0104804779319452 | 0.0104804779319452 |
121 | 0 | 0.0165239694817471 | -0.0165239694817471 |
122 | 0 | 0.0252141326601625 | -0.0252141326601625 |
123 | 0 | 0.123383590626408 | -0.123383590626408 |
124 | 0 | 0.293591833885567 | -0.293591833885567 |
125 | 0 | -0.0104804779319452 | 0.0104804779319452 |
126 | 0 | -0.131602513946982 | 0.131602513946982 |
127 | 0 | 0.0656101767258699 | -0.0656101767258699 |
128 | 0 | -0.0104804779319452 | 0.0104804779319452 |
129 | 0 | 0.0252141326601625 | -0.0252141326601625 |
130 | 0 | -0.0104804779319452 | 0.0104804779319452 |
131 | 0 | 0.0165239694817471 | -0.0165239694817471 |
132 | 0 | -0.0191706411103607 | 0.0191706411103607 |
133 | 0 | 0.280200237233552 | -0.280200237233552 |
134 | 0 | 0.0252141326601625 | -0.0252141326601625 |
135 | 0 | 0.0252141326601625 | -0.0252141326601625 |
136 | 0 | 0.0252141326601625 | -0.0252141326601625 |
137 | 0 | 0.284901670707152 | -0.284901670707152 |
138 | 0 | 0.128085024100008 | -0.128085024100008 |
139 | 0 | -0.131602513946982 | 0.131602513946982 |
140 | 0 | 0.0252141326601625 | -0.0252141326601625 |
141 | 1 | 0.25319578981986 | 0.74680421018014 |
142 | 0 | 0.0963791432127155 | -0.0963791432127155 |
143 | 0 | 0.0165239694817471 | -0.0165239694817471 |
144 | 0 | 0.0299155661337622 | -0.0299155661337622 |
145 | 0 | 0.0656101767258699 | -0.0656101767258699 |
146 | 0 | -0.167297124539089 | 0.167297124539089 |
147 | 0 | 0.132073753804823 | -0.132073753804823 |
148 | 0 | -0.131602513946982 | 0.131602513946982 |
149 | 0 | 0.0165239694817471 | -0.0165239694817471 |
150 | 0 | 0.0299155661337622 | -0.0299155661337622 |
151 | 0 | -0.0104804779319452 | 0.0104804779319452 |
152 | 1 | 0.280200237233552 | 0.719799762766448 |
153 | 1 | 0.320596281299259 | 0.679403718700741 |
154 | 0 | 0.280200237233552 | -0.280200237233552 |
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 | 0.466622463560669 | 0.933244927121339 | 0.533377536439331 |
18 | 0.417745999387859 | 0.835491998775718 | 0.582254000612141 |
19 | 0.383170322549121 | 0.766340645098241 | 0.616829677450879 |
20 | 0.867089004403568 | 0.265821991192865 | 0.132910995596432 |
21 | 0.820991007431357 | 0.358017985137286 | 0.179008992568643 |
22 | 0.810001091461111 | 0.379997817077777 | 0.189998908538889 |
23 | 0.75499920764274 | 0.490001584714521 | 0.24500079235726 |
24 | 0.694787999908693 | 0.610424000182613 | 0.305212000091307 |
25 | 0.700508358576836 | 0.598983282846329 | 0.299491641423164 |
26 | 0.704748507379438 | 0.590502985241125 | 0.295251492620562 |
27 | 0.666079497073577 | 0.667841005852845 | 0.333920502926423 |
28 | 0.617186402815249 | 0.765627194369502 | 0.382813597184751 |
29 | 0.565405686408728 | 0.869188627182545 | 0.434594313591272 |
30 | 0.507724219961981 | 0.984551560076038 | 0.492275780038019 |
31 | 0.447356542983218 | 0.894713085966435 | 0.552643457016782 |
32 | 0.389066559775668 | 0.778133119551336 | 0.610933440224332 |
33 | 0.334035136446829 | 0.668070272893658 | 0.665964863553171 |
34 | 0.289832340778509 | 0.579664681557018 | 0.710167659221491 |
35 | 0.241966388041374 | 0.483932776082747 | 0.758033611958627 |
36 | 0.198794322683765 | 0.39758864536753 | 0.801205677316235 |
37 | 0.276004716291873 | 0.552009432583746 | 0.723995283708127 |
38 | 0.239912832496304 | 0.479825664992608 | 0.760087167503696 |
39 | 0.197453748873001 | 0.394907497746002 | 0.802546251126999 |
40 | 0.190621762280746 | 0.381243524561492 | 0.809378237719254 |
41 | 0.730185259995986 | 0.539629480008028 | 0.269814740004014 |
42 | 0.706617239939788 | 0.586765520120425 | 0.293382760060212 |
43 | 0.659768207158713 | 0.680463585682574 | 0.340231792841287 |
44 | 0.619962949058447 | 0.760074101883106 | 0.380037050941553 |
45 | 0.569696687393827 | 0.860606625212345 | 0.430303312606173 |
46 | 0.51894951417401 | 0.962100971651979 | 0.48105048582599 |
47 | 0.467953592305276 | 0.935907184610552 | 0.532046407694724 |
48 | 0.417344351318061 | 0.834688702636122 | 0.582655648681939 |
49 | 0.368728781068354 | 0.737457562136707 | 0.631271218931646 |
50 | 0.322029686787342 | 0.644059373574684 | 0.677970313212658 |
51 | 0.382611375992077 | 0.765222751984155 | 0.617388624007923 |
52 | 0.671475379498297 | 0.657049241003405 | 0.328524620501703 |
53 | 0.628262434321372 | 0.743475131357256 | 0.371737565678628 |
54 | 0.934698600664093 | 0.130602798671815 | 0.0653013993359074 |
55 | 0.91742923740524 | 0.16514152518952 | 0.0825707625947602 |
56 | 0.940382446019636 | 0.119235107960728 | 0.0596175539803638 |
57 | 0.942753768582908 | 0.114492462834184 | 0.0572462314170922 |
58 | 0.928493594819349 | 0.143012810361301 | 0.0715064051806506 |
59 | 0.911552452088022 | 0.176895095823956 | 0.088447547911978 |
60 | 0.977413948739335 | 0.0451721025213296 | 0.0225860512606648 |
61 | 0.971463167993961 | 0.0570736640120784 | 0.0285368320060392 |
62 | 0.975187798517211 | 0.0496244029655773 | 0.0248122014827886 |
63 | 0.967492205687088 | 0.0650155886258229 | 0.0325077943129115 |
64 | 0.960100276816883 | 0.0797994463662335 | 0.0398997231831167 |
65 | 0.948872853599269 | 0.102254292801463 | 0.0511271464007315 |
66 | 0.935265241876636 | 0.129469516246729 | 0.0647347581233645 |
67 | 0.98084558200094 | 0.0383088359981204 | 0.0191544179990602 |
68 | 0.974532220335718 | 0.0509355593285633 | 0.0254677796642817 |
69 | 0.967133190405724 | 0.0657336191885522 | 0.0328668095942761 |
70 | 0.969283337429237 | 0.0614333251415254 | 0.0307166625707627 |
71 | 0.960189852440206 | 0.0796202951195874 | 0.0398101475597937 |
72 | 0.949487793071254 | 0.101024413857493 | 0.0505122069287465 |
73 | 0.950868538115192 | 0.0982629237696162 | 0.0491314618848081 |
74 | 0.955725737609134 | 0.0885485247817316 | 0.0442742623908658 |
75 | 0.944191625777899 | 0.111616748444202 | 0.0558083742221012 |
76 | 0.937555754726255 | 0.12488849054749 | 0.062444245273745 |
77 | 0.922837706822292 | 0.154324586355417 | 0.0771622931777083 |
78 | 0.933356966384198 | 0.133286067231604 | 0.0666430336158021 |
79 | 0.98188630171462 | 0.036227396570761 | 0.0181136982853805 |
80 | 0.981015382862539 | 0.0379692342749217 | 0.0189846171374609 |
81 | 0.975873601455436 | 0.0482527970891287 | 0.0241263985445644 |
82 | 0.981737456036731 | 0.0365250879265384 | 0.0182625439632692 |
83 | 0.980049789180671 | 0.039900421638658 | 0.019950210819329 |
84 | 0.998275793611137 | 0.00344841277772586 | 0.00172420638886293 |
85 | 0.997458350012566 | 0.0050832999748685 | 0.00254164998743425 |
86 | 0.996303487970519 | 0.00739302405896203 | 0.00369651202948102 |
87 | 0.99468597147544 | 0.010628057049119 | 0.0053140285245595 |
88 | 0.992964390372093 | 0.0140712192558142 | 0.0070356096279071 |
89 | 0.990148492208612 | 0.0197030155827758 | 0.00985150779138788 |
90 | 0.986397042344247 | 0.0272059153115069 | 0.0136029576557535 |
91 | 0.981522982822284 | 0.0369540343554326 | 0.0184770171777163 |
92 | 0.977327648818146 | 0.0453447023637084 | 0.0226723511818542 |
93 | 0.969862817929176 | 0.0602743641416483 | 0.0301371820708242 |
94 | 0.960269997890421 | 0.0794600042191575 | 0.0397300021095787 |
95 | 0.95241797604271 | 0.0951640479145798 | 0.0475820239572899 |
96 | 0.938497587215553 | 0.123004825568895 | 0.0615024127844474 |
97 | 0.928423959899407 | 0.143152080201186 | 0.0715760401005928 |
98 | 0.909550879923021 | 0.180898240153958 | 0.0904491200769789 |
99 | 0.886904530655305 | 0.226190938689391 | 0.113095469344696 |
100 | 0.860368879586229 | 0.279262240827541 | 0.139631120413771 |
101 | 0.829611316004455 | 0.340777367991091 | 0.170388683995545 |
102 | 0.795183142115943 | 0.409633715768114 | 0.204816857884057 |
103 | 0.756776777263147 | 0.486446445473705 | 0.243223222736853 |
104 | 0.714627067965192 | 0.570745864069616 | 0.285372932034808 |
105 | 0.682750459226658 | 0.634499081546683 | 0.317249540773342 |
106 | 0.635111649079021 | 0.729776701841958 | 0.364888350920979 |
107 | 0.58514879881186 | 0.82970240237628 | 0.41485120118814 |
108 | 0.545774160701502 | 0.908451678596997 | 0.454225839298499 |
109 | 0.493304740605318 | 0.986609481210635 | 0.506695259394683 |
110 | 0.439714295050282 | 0.879428590100563 | 0.560285704949718 |
111 | 0.401491343509929 | 0.802982687019857 | 0.598508656490071 |
112 | 0.36573753751273 | 0.731475075025461 | 0.63426246248727 |
113 | 0.417034962507209 | 0.834069925014418 | 0.582965037492791 |
114 | 0.380414285676476 | 0.760828571352953 | 0.619585714323524 |
115 | 0.328015014724949 | 0.656030029449898 | 0.671984985275051 |
116 | 0.280679114850175 | 0.561358229700349 | 0.719320885149825 |
117 | 0.235114078207311 | 0.470228156414621 | 0.764885921792689 |
118 | 0.193123400687236 | 0.386246801374472 | 0.806876599312764 |
119 | 0.157725058585319 | 0.315450117170639 | 0.842274941414681 |
120 | 0.125026507311342 | 0.250053014622684 | 0.874973492688658 |
121 | 0.0971320382157774 | 0.194264076431555 | 0.902867961784223 |
122 | 0.075278869288905 | 0.15055773857781 | 0.924721130711095 |
123 | 0.0635765692033665 | 0.127153138406733 | 0.936423430796633 |
124 | 0.0815595804683197 | 0.163119160936639 | 0.91844041953168 |
125 | 0.060692919398678 | 0.121385838797356 | 0.939307080601322 |
126 | 0.0495185840732084 | 0.0990371681464168 | 0.950481415926792 |
127 | 0.0358664112802412 | 0.0717328225604823 | 0.964133588719759 |
128 | 0.0249431969384931 | 0.0498863938769861 | 0.975056803061507 |
129 | 0.0173563162447108 | 0.0347126324894215 | 0.982643683755289 |
130 | 0.0114625385424422 | 0.0229250770848844 | 0.988537461457558 |
131 | 0.00722684292911031 | 0.0144536858582206 | 0.99277315707089 |
132 | 0.00451003642797832 | 0.00902007285595665 | 0.995489963572022 |
133 | 0.00903653426288546 | 0.0180730685257709 | 0.990963465737115 |
134 | 0.00592079595485982 | 0.0118415919097196 | 0.99407920404514 |
135 | 0.00388375109382814 | 0.00776750218765629 | 0.996116248906172 |
136 | 0.00262068355247415 | 0.0052413671049483 | 0.997379316447526 |
137 | 0.00488430476140077 | 0.00976860952280154 | 0.995115695238599 |
138 | 0.00406761021913888 | 0.00813522043827776 | 0.995932389780861 |
139 | 0.00337599106105005 | 0.0067519821221001 | 0.99662400893895 |
140 | 0.00165206388656046 | 0.00330412777312093 | 0.99834793611344 |
141 | 0.0231326216441971 | 0.0462652432883942 | 0.976867378355803 |
142 | 0.0187225152245118 | 0.0374450304490236 | 0.981277484775488 |
143 | 0.0100766084125953 | 0.0201532168251907 | 0.989923391587405 |
144 | 0.00469220623609779 | 0.00938441247219558 | 0.995307793763902 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 18 | 0.133333333333333 | NOK |
5% type I error level | 41 | 0.303703703703704 | NOK |
10% type I error level | 55 | 0.407407407407407 | NOK |