Multiple Linear Regression - Estimated Regression Equation |
Outcome[t] = -0.220056289536311 + 0.137632477255932Weeks[t] -0.0711600979701897USELIMIT[t] + 0.0766740138589019Used[t] -0.141202916535705CorrectAN[t] + 0.163921975435742Useful[t] + 0.00200304883000975t + 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) | -0.220056289536311 | 0.377984 | -0.5822 | 0.561334 | 0.280667 |
Weeks | 0.137632477255932 | 0.080338 | 1.7132 | 0.088791 | 0.044395 |
USELIMIT | -0.0711600979701897 | 0.085046 | -0.8367 | 0.404105 | 0.202053 |
Used | 0.0766740138589019 | 0.098844 | 0.7757 | 0.439169 | 0.219585 |
CorrectAN | -0.141202916535705 | 0.165823 | -0.8515 | 0.395861 | 0.197931 |
Useful | 0.163921975435742 | 0.093771 | 1.7481 | 0.082534 | 0.041267 |
t | 0.00200304883000975 | 0.00177 | 1.1317 | 0.25961 | 0.129805 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.255470591027869 |
R-squared | 0.0652652228801285 |
Adjusted R-squared | 0.0271127829976847 |
F-TEST (value) | 1.71064348915103 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0.122354378768584 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.483984624023571 |
Sum Squared Residuals | 34.4334440948119 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.261316570347238 | 0.738683429652762 |
2 | 0 | 0.334479717147436 | -0.334479717147436 |
3 | 0 | 0.336482765977446 | -0.336482765977446 |
4 | 0 | 0.338485814807456 | -0.338485814807456 |
5 | 0 | 0.340488863637466 | -0.340488863637466 |
6 | 1 | 0.435253789933028 | 0.564746210066972 |
7 | 0 | 0.344494961297486 | -0.344494961297486 |
8 | 0 | 0.346498010127495 | -0.346498010127495 |
9 | 1 | 0.348501058957505 | 0.651498941042495 |
10 | 0 | 0.279344009817325 | -0.279344009817325 |
11 | 0 | 0.281347058647335 | -0.281347058647335 |
12 | 0 | 0.354510205447534 | -0.354510205447534 |
13 | 0 | 0.597109243572188 | -0.597109243572188 |
14 | 0 | 0.287356205137364 | -0.287356205137364 |
15 | 1 | 0.601115341232207 | 0.398884658767792 |
16 | 1 | 0.603118390062217 | 0.396881609937783 |
17 | 0 | 0.392758424386332 | -0.392758424386332 |
18 | 0 | 0.295368400457403 | -0.295368400457403 |
19 | 1 | 0.368531547257603 | 0.631468452742397 |
20 | 1 | 0.469927668846552 | 0.530072331153448 |
21 | 0 | 0.465299522383174 | -0.465299522383174 |
22 | 1 | 0.543976585072086 | 0.456023414927914 |
23 | 1 | 0.540465718013384 | 0.459534281986616 |
24 | 1 | 0.471308668873204 | 0.528691331126796 |
25 | 1 | 0.457223854096563 | 0.542776145903437 |
26 | 0 | 0.623148878362315 | -0.623148878362315 |
27 | 1 | 0.313395839927491 | 0.686604160072509 |
28 | 0 | 0.463233000586592 | -0.463233000586592 |
29 | 1 | 0.3885620355577 | 0.6114379644423 |
30 | 0 | 0.554487059823452 | -0.554487059823452 |
31 | 0 | 0.39256813321772 | -0.39256813321772 |
32 | 0 | 0.32341108407754 | -0.32341108407754 |
33 | 0 | 0.489336108343291 | -0.489336108343291 |
34 | 1 | 0.398577279707749 | 0.601422720292251 |
35 | 0 | 0.400580328537759 | -0.400580328537759 |
36 | 0 | 0.402583377367769 | -0.402583377367769 |
37 | 0 | 0.574022317522232 | -0.574022317522232 |
38 | 1 | 0.48326348888669 | 0.51673651111331 |
39 | 1 | 0.57251449929354 | 0.42748550070646 |
40 | 0 | 0.57451754812355 | -0.57451754812355 |
41 | 1 | 0.511991694276756 | 0.488008305723244 |
42 | 1 | 0.491275684206729 | 0.508724315793271 |
43 | 1 | 0.509366596643389 | 0.490633403356611 |
44 | 0 | 0.347447670037657 | -0.347447670037657 |
45 | 0 | 0.584532792273598 | -0.584532792273598 |
46 | 1 | 0.586535841103608 | 0.413464158896392 |
47 | 0 | 0.424616914497876 | -0.424616914497876 |
48 | 1 | 0.426619963327886 | 0.573380036672114 |
49 | 1 | 0.592544987593637 | 0.407455012406363 |
50 | 0 | 0.430626060987905 | -0.430626060987905 |
51 | 0 | 0.509303123676817 | -0.509303123676817 |
52 | 0 | 0.462865133436674 | -0.462865133436674 |
53 | 1 | 0.436635207477934 | 0.563364792522066 |
54 | 0 | 0.374109353631141 | -0.374109353631141 |
55 | 0 | 0.440641305137954 | -0.440641305137954 |
56 | 1 | 0.519318367826866 | 0.480681632173134 |
57 | 1 | 0.685243392092617 | 0.314756607907383 |
58 | 1 | 0.446650451627983 | 0.553349548372017 |
59 | 1 | 0.448653500457993 | 0.551346499542007 |
60 | 1 | 0.478889524076752 | 0.521110475923248 |
61 | 1 | 0.381499500147823 | 0.618500499852177 |
62 | 0 | 0.695258636242666 | -0.695258636242666 |
63 | 0 | 0.456665695778032 | -0.456665695778032 |
64 | 1 | 0.387508646637852 | 0.612491353362148 |
65 | 0 | 0.460671793438051 | -0.460671793438051 |
66 | 0 | 0.462674842268061 | -0.462674842268061 |
67 | 0 | 0.56407096385701 | -0.56407096385701 |
68 | 0 | 0.395520841957891 | -0.395520841957891 |
69 | 1 | 0.468683988758091 | 0.531316011241909 |
70 | 0 | 0.547361051447002 | -0.547361051447002 |
71 | 0 | 0.47269008641811 | -0.47269008641811 |
72 | 1 | 0.47469313524812 | 0.52530686475188 |
73 | 1 | 0.553370197937031 | 0.446629802062969 |
74 | 0 | 0.484213148796851 | -0.484213148796851 |
75 | 1 | 0.480702281738149 | 0.519297718261851 |
76 | 1 | 0.646627306003901 | 0.353372693996099 |
77 | 1 | 0.484708379398169 | 0.515291620601831 |
78 | 1 | 0.727307417522822 | 0.272692582477178 |
79 | 1 | 0.424185574381385 | 0.575814425618615 |
80 | 0 | 0.65463950132394 | -0.65463950132394 |
81 | 0 | 0.492720574718207 | -0.492720574718207 |
82 | 1 | 0.500237539436929 | 0.499762460563071 |
83 | 0 | 0.496726672378227 | -0.496726672378227 |
84 | 0 | 0.434200818531434 | -0.434200818531434 |
85 | 1 | 0.664654745473989 | 0.335345254526011 |
86 | 0 | 0.431575720898066 | -0.431575720898066 |
87 | 1 | 0.158313815216212 | 0.841686184783788 |
88 | 1 | 0.236990877905124 | 0.763009122094876 |
89 | 0 | 0.233480010846421 | -0.233480010846421 |
90 | 1 | 0.235483059676431 | 0.764516940323569 |
91 | 0 | 0.401408083942183 | -0.401408083942183 |
92 | 0 | 0.168329059366261 | -0.168329059366261 |
93 | 0 | 0.334254083632013 | -0.334254083632013 |
94 | 0 | 0.24349525499647 | -0.24349525499647 |
95 | 0 | 0.24549830382648 | -0.24549830382648 |
96 | 1 | 0.24750135265649 | 0.75249864734351 |
97 | 0 | 0.17834430351631 | -0.17834430351631 |
98 | 0 | 0.251507450316509 | -0.251507450316509 |
99 | 0 | 0.182350401176329 | -0.182350401176329 |
100 | 1 | 0.255513547976529 | 0.744486452023471 |
101 | 1 | 0.186356498836349 | 0.813643501163651 |
102 | 0 | 0.259519645636548 | -0.259519645636548 |
103 | 0 | 0.261522694466558 | -0.261522694466558 |
104 | 0 | 0.263525743296568 | -0.263525743296568 |
105 | 0 | 0.342202805985479 | -0.342202805985479 |
106 | 0 | 0.267531840956587 | -0.267531840956587 |
107 | 0 | 0.269534889786597 | -0.269534889786597 |
108 | 0 | 0.277051854505319 | -0.277051854505319 |
109 | 0 | 0.273540987446616 | -0.273540987446616 |
110 | 0 | 0.204383938306437 | -0.204383938306437 |
111 | 0 | 0.44698297643109 | -0.44698297643109 |
112 | 0 | 0.279550133936646 | -0.279550133936646 |
113 | 0 | 0.358227196625557 | -0.358227196625557 |
114 | 0 | 0.289070147485378 | -0.289070147485378 |
115 | 0 | 0.214399182456485 | -0.214399182456485 |
116 | 0 | 0.287562329256685 | -0.287562329256685 |
117 | 1 | 0.218405280116505 | 0.781594719883495 |
118 | 0 | 0.220408328946515 | -0.220408328946515 |
119 | 0 | 0.293571475746714 | -0.293571475746714 |
120 | 1 | 0.295574524576724 | 0.704425475423276 |
121 | 0 | 0.226417475436544 | -0.226417475436544 |
122 | 0 | 0.299580622236743 | -0.299580622236743 |
123 | 0 | 0.307097586955465 | -0.307097586955465 |
124 | 1 | 0.544182709191407 | 0.455817290808593 |
125 | 1 | 0.305589768726773 | 0.694410231273227 |
126 | 0 | 0.307592817556782 | -0.307592817556782 |
127 | 0 | 0.473517841822534 | -0.473517841822534 |
128 | 1 | 0.311598915216802 | 0.688401084783198 |
129 | 0 | 0.313601964046812 | -0.313601964046812 |
130 | 1 | 0.315605012876821 | 0.684394987123179 |
131 | 0 | 0.246447963736641 | -0.246447963736641 |
132 | 1 | 0.248451012566651 | 0.751548987433349 |
133 | 0 | 0.327128075255563 | -0.327128075255563 |
134 | 0 | 0.32361720819686 | -0.32361720819686 |
135 | 0 | 0.32562025702687 | -0.32562025702687 |
136 | 0 | 0.32762330585688 | -0.32762330585688 |
137 | 1 | 0.499062246011344 | 0.500937753988656 |
138 | 1 | 0.501065294841354 | 0.498934705158646 |
139 | 0 | 0.333632452346909 | -0.333632452346909 |
140 | 0 | 0.335635501176919 | -0.335635501176919 |
141 | 1 | 0.273109647330126 | 0.726890352669874 |
142 | 1 | 0.416315612695841 | 0.583684387304159 |
143 | 0 | 0.270484549696758 | -0.270484549696758 |
144 | 1 | 0.5075696719327 | 0.4924303280673 |
145 | 0 | 0.50957272076271 | -0.50957272076271 |
146 | 1 | 0.347653794156978 | 0.652346205843022 |
147 | 0 | 0.426330856845889 | -0.426330856845889 |
148 | 0 | 0.351659891816997 | -0.351659891816997 |
149 | 0 | 0.282502842676817 | -0.282502842676817 |
150 | 1 | 0.519587964912758 | 0.480412035087242 |
151 | 1 | 0.357669038307026 | 0.642330961692974 |
152 | 0 | 0.223983086490043 | -0.223983086490043 |
153 | 0 | 0.389908110755795 | -0.389908110755795 |
154 | 0 | 0.369192100685768 | -0.369192100685768 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.868110398799022 | 0.263779202401956 | 0.131889601200978 |
11 | 0.802900719473679 | 0.394198561052641 | 0.19709928052632 |
12 | 0.697618650995292 | 0.604762698009416 | 0.302381349004708 |
13 | 0.587414983366603 | 0.825170033266794 | 0.412585016633397 |
14 | 0.478819296697402 | 0.957638593394804 | 0.521180703302598 |
15 | 0.60663376472182 | 0.786732470556361 | 0.39336623527818 |
16 | 0.582747207900862 | 0.834505584198277 | 0.417252792099138 |
17 | 0.490405233765014 | 0.980810467530028 | 0.509594766234986 |
18 | 0.401624654311512 | 0.803249308623024 | 0.598375345688488 |
19 | 0.577551276750178 | 0.844897446499643 | 0.422448723249822 |
20 | 0.603475452246159 | 0.793049095507682 | 0.396524547753841 |
21 | 0.697262538883798 | 0.605474922232404 | 0.302737461116202 |
22 | 0.667777140869136 | 0.664445718261728 | 0.332222859130864 |
23 | 0.622975034631192 | 0.754049930737616 | 0.377024965368808 |
24 | 0.58079831428454 | 0.838403371430919 | 0.41920168571546 |
25 | 0.569366032179697 | 0.861267935640606 | 0.430633967820303 |
26 | 0.697877316883236 | 0.604245366233528 | 0.302122683116764 |
27 | 0.703607171321566 | 0.592785657356867 | 0.296392828678434 |
28 | 0.707370930438516 | 0.585258139122968 | 0.292629069561484 |
29 | 0.691242962488848 | 0.617514075022305 | 0.308757037511152 |
30 | 0.763981089725716 | 0.472037820548569 | 0.236018910274284 |
31 | 0.753082476789862 | 0.493835046420276 | 0.246917523210138 |
32 | 0.733487391785225 | 0.53302521642955 | 0.266512608214775 |
33 | 0.738492737476627 | 0.523014525046746 | 0.261507262523373 |
34 | 0.759608145358775 | 0.480783709282449 | 0.240391854641225 |
35 | 0.742295586006388 | 0.515408827987224 | 0.257704413993612 |
36 | 0.718976413760096 | 0.562047172479807 | 0.281023586239903 |
37 | 0.731144425419009 | 0.537711149161981 | 0.268855574580991 |
38 | 0.737169366604904 | 0.525661266790193 | 0.262830633395096 |
39 | 0.726110149229332 | 0.547779701541336 | 0.273889850770668 |
40 | 0.736027577318348 | 0.527944845363304 | 0.263972422681652 |
41 | 0.717193441284462 | 0.565613117431075 | 0.282806558715538 |
42 | 0.706579321432279 | 0.586841357135442 | 0.293420678567721 |
43 | 0.704058689264994 | 0.591882621470011 | 0.295941310735006 |
44 | 0.685685554520382 | 0.628628890959235 | 0.314314445479618 |
45 | 0.697316705852866 | 0.605366588294268 | 0.302683294147134 |
46 | 0.686645567214311 | 0.626708865571378 | 0.313354432785689 |
47 | 0.673847471832225 | 0.652305056335551 | 0.326152528167775 |
48 | 0.686084384392497 | 0.627831231215006 | 0.313915615607503 |
49 | 0.667885331740662 | 0.664229336518676 | 0.332114668259338 |
50 | 0.661089730909819 | 0.677820538180362 | 0.338910269090181 |
51 | 0.668710337887434 | 0.662579324225132 | 0.331289662112566 |
52 | 0.671950241364532 | 0.656099517270936 | 0.328049758635468 |
53 | 0.684931138724871 | 0.630137722550257 | 0.315068861275129 |
54 | 0.664786933596425 | 0.670426132807149 | 0.335213066403575 |
55 | 0.653001659385322 | 0.693996681229355 | 0.346998340614678 |
56 | 0.649676558479056 | 0.700646883041888 | 0.350323441520944 |
57 | 0.617379714514946 | 0.765240570970109 | 0.382620285485054 |
58 | 0.626122542170514 | 0.747754915658973 | 0.373877457829486 |
59 | 0.630542271629444 | 0.738915456741113 | 0.369457728370556 |
60 | 0.631266492186153 | 0.737467015627694 | 0.368733507813847 |
61 | 0.645552585774628 | 0.708894828450743 | 0.354447414225372 |
62 | 0.700049917881225 | 0.599900164237551 | 0.299950082118775 |
63 | 0.699541817542539 | 0.600916364914922 | 0.300458182457461 |
64 | 0.713903521533485 | 0.57219295693303 | 0.286096478466515 |
65 | 0.712607921778528 | 0.574784156442944 | 0.287392078221472 |
66 | 0.709309672629806 | 0.581380654740388 | 0.290690327370194 |
67 | 0.721863469504941 | 0.556273060990117 | 0.278136530495059 |
68 | 0.709889665197128 | 0.580220669605743 | 0.290110334802872 |
69 | 0.714644352863209 | 0.570711294273581 | 0.285355647136791 |
70 | 0.726750813328763 | 0.546498373342474 | 0.273249186671237 |
71 | 0.72463200769021 | 0.550735984619581 | 0.275367992309791 |
72 | 0.727462087629043 | 0.545075824741914 | 0.272537912370957 |
73 | 0.716484471071767 | 0.567031057856465 | 0.283515528928233 |
74 | 0.717915372785814 | 0.564169254428372 | 0.282084627214186 |
75 | 0.719317487497663 | 0.561365025004673 | 0.280682512502337 |
76 | 0.697675004246253 | 0.604649991507494 | 0.302324995753747 |
77 | 0.704920064754078 | 0.590159870491844 | 0.295079935245922 |
78 | 0.678963037977641 | 0.642073924044718 | 0.321036962022359 |
79 | 0.705587201826407 | 0.588825596347186 | 0.294412798173593 |
80 | 0.725553606242459 | 0.548892787515081 | 0.274446393757541 |
81 | 0.718511705929313 | 0.562976588141374 | 0.281488294070687 |
82 | 0.735980535615623 | 0.528038928768755 | 0.264019464384377 |
83 | 0.723160036533983 | 0.553679926932035 | 0.276839963466017 |
84 | 0.707271782234693 | 0.585456435530614 | 0.292728217765307 |
85 | 0.699644487980019 | 0.600711024039963 | 0.300355512019981 |
86 | 0.672616046069467 | 0.654767907861067 | 0.327383953930533 |
87 | 0.709294795798609 | 0.581410408402782 | 0.290705204201391 |
88 | 0.752106857332204 | 0.495786285335592 | 0.247893142667796 |
89 | 0.757145669534274 | 0.485708660931452 | 0.242854330465726 |
90 | 0.7952294755057 | 0.409541048988601 | 0.2047705244943 |
91 | 0.805385276817744 | 0.389229446364511 | 0.194614723182256 |
92 | 0.78327046291344 | 0.433459074173119 | 0.21672953708656 |
93 | 0.770805814091796 | 0.458388371816407 | 0.229194185908204 |
94 | 0.744156260031648 | 0.511687479936705 | 0.255843739968352 |
95 | 0.714788202693182 | 0.570423594613635 | 0.285211797306818 |
96 | 0.770611987890868 | 0.458776024218264 | 0.229388012109132 |
97 | 0.737575230003777 | 0.524849539992447 | 0.262424769996223 |
98 | 0.70612630377421 | 0.587747392451579 | 0.29387369622579 |
99 | 0.667096399786472 | 0.665807200427057 | 0.332903600213528 |
100 | 0.735042687187634 | 0.529914625624732 | 0.264957312812366 |
101 | 0.833235509503536 | 0.333528980992928 | 0.166764490496464 |
102 | 0.806277286491979 | 0.387445427016042 | 0.193722713508021 |
103 | 0.776074602272977 | 0.447850795454046 | 0.223925397727023 |
104 | 0.742895156900922 | 0.514209686198155 | 0.257104843099078 |
105 | 0.714780467611149 | 0.570439064777702 | 0.285219532388851 |
106 | 0.67730966182649 | 0.64538067634702 | 0.32269033817351 |
107 | 0.638616478720489 | 0.722767042559021 | 0.361383521279511 |
108 | 0.596923344484722 | 0.806153311030556 | 0.403076655515278 |
109 | 0.556975945810006 | 0.886048108379988 | 0.443024054189994 |
110 | 0.506960978395649 | 0.986078043208703 | 0.493039021604351 |
111 | 0.494572997658728 | 0.989145995317456 | 0.505427002341272 |
112 | 0.458580303886445 | 0.91716060777289 | 0.541419696113555 |
113 | 0.442386355344437 | 0.884772710688874 | 0.557613644655563 |
114 | 0.408449893314554 | 0.816899786629108 | 0.591550106685446 |
115 | 0.362589129257594 | 0.725178258515189 | 0.637410870742406 |
116 | 0.342527487066609 | 0.685054974133219 | 0.657472512933391 |
117 | 0.437508487157565 | 0.875016974315131 | 0.562491512842435 |
118 | 0.384630957903134 | 0.769261915806267 | 0.615369042096866 |
119 | 0.362514249640128 | 0.725028499280255 | 0.637485750359872 |
120 | 0.396538287019123 | 0.793076574038246 | 0.603461712980877 |
121 | 0.343190921243949 | 0.686381842487898 | 0.656809078756051 |
122 | 0.318967171045655 | 0.637934342091311 | 0.681032828954345 |
123 | 0.295433322182669 | 0.590866644365338 | 0.704566677817331 |
124 | 0.255533550540231 | 0.511067101080461 | 0.744466449459769 |
125 | 0.27935956460666 | 0.558719129213319 | 0.72064043539334 |
126 | 0.254636449396322 | 0.509272898792644 | 0.745363550603678 |
127 | 0.317722380602839 | 0.635444761205677 | 0.682277619397161 |
128 | 0.329588473258404 | 0.659176946516809 | 0.670411526741596 |
129 | 0.315611205060737 | 0.631222410121474 | 0.684388794939263 |
130 | 0.33299872225091 | 0.66599744450182 | 0.66700127774909 |
131 | 0.277330525783216 | 0.554661051566431 | 0.722669474216784 |
132 | 0.459950293724197 | 0.919900587448394 | 0.540049706275803 |
133 | 0.397612202718273 | 0.795224405436546 | 0.602387797281727 |
134 | 0.345785768626773 | 0.691571537253547 | 0.654214231373227 |
135 | 0.307105248663648 | 0.614210497327297 | 0.692894751336352 |
136 | 0.290884473427015 | 0.58176894685403 | 0.709115526572985 |
137 | 0.245556862709685 | 0.491113725419371 | 0.754443137290315 |
138 | 0.307911281595847 | 0.615822563191695 | 0.692088718404153 |
139 | 0.287644673936214 | 0.575289347872427 | 0.712355326063786 |
140 | 0.329565026844866 | 0.659130053689731 | 0.670434973155134 |
141 | 0.259362582264267 | 0.518725164528534 | 0.740637417735733 |
142 | 0.355061249326184 | 0.710122498652367 | 0.644938750673816 |
143 | 0.245874550088218 | 0.491749100176435 | 0.754125449911782 |
144 | 0.312009507115135 | 0.62401901423027 | 0.687990492884865 |
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 |