Multiple Linear Regression - Estimated Regression Equation |
T20[t] = + 0.249623513122226 + 0.425719677107067Used[t] -0.163319144266082Useful[t] -0.00230823649454588t + 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) | 0.249623513122226 | 0.100124 | 2.4932 | 0.015258 | 0.007629 |
Used | 0.425719677107067 | 0.118801 | 3.5835 | 0.000655 | 0.000327 |
Useful | -0.163319144266082 | 0.13807 | -1.1829 | 0.241235 | 0.120618 |
t | -0.00230823649454588 | 0.002605 | -0.8859 | 0.378977 | 0.189489 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.413976599046199 |
R-squared | 0.171376624557857 |
Adjusted R-squared | 0.132534903834007 |
F-TEST (value) | 4.41217900144741 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 64 |
p-value | 0.0069726767115954 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.406297074905006 |
Sum Squared Residuals | 10.5649480368873 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0 | 0.247315276627681 | -0.247315276627681 |
2 | 1 | 0.670726717240202 | 0.329273282759798 |
3 | 0 | 0.242698803638589 | -0.242698803638589 |
4 | 0 | 0.240390567144043 | -0.240390567144043 |
5 | 0 | 0.0747631863834151 | -0.0747631863834151 |
6 | 1 | 0.235774094154951 | 0.764225905845049 |
7 | 0 | 0.0701467133943234 | -0.0701467133943234 |
8 | 0 | 0.231157621165859 | -0.231157621165859 |
9 | 1 | 0.228849384671313 | 0.771150615328687 |
10 | 0 | 0.226541148176768 | -0.226541148176768 |
11 | 1 | 0.224232911682222 | 0.775767088317778 |
12 | 0 | 0.221924675187676 | -0.221924675187676 |
13 | 0 | 0.21961643869313 | -0.21961643869313 |
14 | 0 | 0.217308202198584 | -0.217308202198584 |
15 | 0 | 0.214999965704038 | -0.214999965704038 |
16 | 0 | 0.212691729209492 | -0.212691729209492 |
17 | 0 | 0.210383492714946 | -0.210383492714946 |
18 | 0 | 0.208075256220401 | -0.208075256220401 |
19 | 1 | 0.631486696832922 | 0.368513303167078 |
20 | 0 | 0.203458783231309 | -0.203458783231309 |
21 | 0 | 0.201150546736763 | -0.201150546736763 |
22 | 1 | 0.624561987349284 | 0.375438012650716 |
23 | 0 | 0.196534073747671 | -0.196534073747671 |
24 | 0 | 0.194225837253125 | -0.194225837253125 |
25 | 1 | 0.454318133599565 | 0.545681866400435 |
26 | 1 | 0.189609364264033 | 0.810390635735967 |
27 | 0 | 0.613020804876555 | -0.613020804876555 |
28 | 1 | 0.610712568382009 | 0.389287431617991 |
29 | 0 | 0.182684654780396 | -0.182684654780396 |
30 | 0 | 0.18037641828585 | -0.18037641828585 |
31 | 0 | 0.178068181791304 | -0.178068181791304 |
32 | 0 | 0.175759945296758 | -0.175759945296758 |
33 | 0 | 0.173451708802212 | -0.173451708802212 |
34 | 0 | 0.171143472307666 | -0.171143472307666 |
35 | 0 | 0.168835235813121 | -0.168835235813121 |
36 | 0 | 0.166526999318575 | -0.166526999318575 |
37 | 1 | 0.589938439931096 | 0.410061560068904 |
38 | 0 | 0.424311059170468 | -0.424311059170468 |
39 | 0 | 0.159602289834937 | -0.159602289834937 |
40 | 1 | 0.157294053340391 | 0.842705946659609 |
41 | 0 | -0.00833332742023647 | 0.00833332742023647 |
42 | 0 | 0.152677580351299 | -0.152677580351299 |
43 | 0 | 0.150369343856754 | -0.150369343856754 |
44 | 0 | 0.148061107362208 | -0.148061107362208 |
45 | 0 | 0.145752870867662 | -0.145752870867662 |
46 | 0 | 0.143444634373116 | -0.143444634373116 |
47 | 0 | 0.566856074985637 | -0.566856074985637 |
48 | 0 | 0.138828161384024 | -0.138828161384024 |
49 | 0 | 0.136519924889478 | -0.136519924889478 |
50 | 0 | 0.134211688394932 | -0.134211688394932 |
51 | 0 | 0.394303984741372 | -0.394303984741372 |
52 | 1 | 0.391995748246826 | 0.608004251753174 |
53 | 1 | 0.127286978911295 | 0.872713021088705 |
54 | 0 | 0.124978742416749 | -0.124978742416749 |
55 | 0 | 0.54839018302927 | -0.54839018302927 |
56 | 1 | 0.546081946534724 | 0.453918053465276 |
57 | 0 | 0.118054032933111 | -0.118054032933111 |
58 | 0 | -0.0475733478275164 | 0.0475733478275164 |
59 | 0 | -0.0498815843220623 | 0.0498815843220623 |
60 | 1 | 0.111129323449474 | 0.888870676550526 |
61 | 1 | 0.534540764061995 | 0.465459235938005 |
62 | 1 | 0.106512850460382 | 0.893487149539618 |
63 | 0 | 0.104204613965836 | -0.104204613965836 |
64 | 0 | -0.0614227667947917 | 0.0614227667947917 |
65 | 0 | 0.0995881409767443 | -0.0995881409767443 |
66 | 0 | 0.522999581589265 | -0.522999581589265 |
67 | 0 | 0.357372200828638 | -0.357372200828638 |
68 | 0 | 0.518383108600174 | -0.518383108600174 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.416949556928941 | 0.833899113857883 | 0.583050443071059 |
8 | 0.607869195260328 | 0.784261609479343 | 0.392130804739672 |
9 | 0.621577855139995 | 0.75684428972001 | 0.378422144860005 |
10 | 0.71725227440255 | 0.565495451194901 | 0.28274772559745 |
11 | 0.731000105788069 | 0.537999788423863 | 0.268999894211931 |
12 | 0.795367638615492 | 0.409264722769017 | 0.204632361384509 |
13 | 0.791554513188878 | 0.416890973622244 | 0.208445486811122 |
14 | 0.75812622593766 | 0.483747548124679 | 0.24187377406234 |
15 | 0.705536118702255 | 0.58892776259549 | 0.294463881297745 |
16 | 0.639144115275903 | 0.721711769448194 | 0.360855884724097 |
17 | 0.563764788880471 | 0.872470422239058 | 0.436235211119529 |
18 | 0.484379498225546 | 0.968758996451091 | 0.515620501774454 |
19 | 0.4259809536326 | 0.851961907265199 | 0.5740190463674 |
20 | 0.351372720359071 | 0.702745440718142 | 0.648627279640929 |
21 | 0.282514308539082 | 0.565028617078164 | 0.717485691460918 |
22 | 0.24067072889146 | 0.481341457782919 | 0.75932927110854 |
23 | 0.185259506568413 | 0.370519013136825 | 0.814740493431587 |
24 | 0.13935453833986 | 0.278709076679721 | 0.86064546166014 |
25 | 0.143086155539371 | 0.286172311078742 | 0.856913844460629 |
26 | 0.392299794227244 | 0.784599588454489 | 0.607700205772756 |
27 | 0.572475690436375 | 0.855048619127249 | 0.427524309563625 |
28 | 0.57836347218799 | 0.84327305562402 | 0.42163652781201 |
29 | 0.508145818812568 | 0.983708362374864 | 0.491854181187432 |
30 | 0.437282914809336 | 0.874565829618673 | 0.562717085190664 |
31 | 0.368495265488439 | 0.736990530976879 | 0.631504734511561 |
32 | 0.304143905590683 | 0.608287811181367 | 0.695856094409317 |
33 | 0.246044624041088 | 0.492089248082175 | 0.753955375958912 |
34 | 0.19536232427521 | 0.390724648550419 | 0.80463767572479 |
35 | 0.152601059255686 | 0.305202118511372 | 0.847398940744314 |
36 | 0.117680843990962 | 0.235361687981924 | 0.882319156009038 |
37 | 0.12860001946372 | 0.257200038927441 | 0.87139998053628 |
38 | 0.131253060857399 | 0.262506121714798 | 0.868746939142601 |
39 | 0.0994548129159904 | 0.198909625831981 | 0.90054518708401 |
40 | 0.297346619883872 | 0.594693239767744 | 0.702653380116128 |
41 | 0.239702160529462 | 0.479404321058925 | 0.760297839470538 |
42 | 0.187745128737013 | 0.375490257474025 | 0.812254871262987 |
43 | 0.143837215545495 | 0.28767443109099 | 0.856162784454505 |
44 | 0.108161255991157 | 0.216322511982314 | 0.891838744008843 |
45 | 0.0803348531669606 | 0.160669706333921 | 0.919665146833039 |
46 | 0.0595987964157262 | 0.119197592831452 | 0.940401203584274 |
47 | 0.075893525829309 | 0.151787051658618 | 0.924106474170691 |
48 | 0.0622160585532251 | 0.12443211710645 | 0.937783941446775 |
49 | 0.0562176258602785 | 0.112435251720557 | 0.943782374139722 |
50 | 0.0621591021259901 | 0.12431820425198 | 0.93784089787401 |
51 | 0.071629866140615 | 0.14325973228123 | 0.928370133859385 |
52 | 0.0966345470450617 | 0.193269094090123 | 0.903365452954938 |
53 | 0.162295562143053 | 0.324591124286106 | 0.837704437856947 |
54 | 0.162879512984934 | 0.325759025969868 | 0.837120487015066 |
55 | 0.313242781109193 | 0.626485562218385 | 0.686757218890807 |
56 | 0.246181042444726 | 0.492362084889452 | 0.753818957555274 |
57 | 0.442175429578799 | 0.884350859157598 | 0.557824570421201 |
58 | 0.446593430958614 | 0.893186861917228 | 0.553406569041386 |
59 | 0.695437048370682 | 0.609125903258636 | 0.304562951629318 |
60 | 0.609311904228929 | 0.781376191542143 | 0.390688095771071 |
61 | 0.455403832135884 | 0.910807664271768 | 0.544596167864116 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |