Multiple Linear Regression - Estimated Regression Equation |
Hours[t] = + 0.863654994886517 -5.34026073264113e-06Characters[t] + 0.000690886679675441Revisions[t] + 0.0182219247576429Blogs[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) | 0.863654994886517 | 0.132551 | 6.5156 | 0 | 0 |
Characters | -5.34026073264113e-06 | 1.2e-05 | -0.4463 | 0.656215 | 0.328107 |
Revisions | 0.000690886679675441 | 6e-05 | 11.5669 | 0 | 0 |
Blogs | 0.0182219247576429 | 0.005123 | 3.5567 | 0.000547 | 0.000273 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.841603183908804 |
R-squared | 0.708295919165437 |
Adjusted R-squared | 0.700686247491491 |
F-TEST (value) | 93.0783809754344 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 115 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.905850762747532 |
Sum Squared Residuals | 94.3650445025828 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 9 | 7.07716430902552 | 1.92283569097448 |
2 | 7 | 6.70503189489195 | 0.294968105108048 |
3 | 7 | 5.21761103467696 | 1.78238896532304 |
4 | 6 | 6.52879876406459 | -0.528798764064595 |
5 | 6 | 4.40587138293882 | 1.59412861706118 |
6 | 6 | 6.19662685721302 | -0.196626857213022 |
7 | 5 | 3.80448224519723 | 1.19551775480277 |
8 | 5 | 5.34300270626764 | -0.343002706267642 |
9 | 5 | 3.26410536584695 | 1.73589463415305 |
10 | 5 | 3.9806412164948 | 1.0193587835052 |
11 | 5 | 4.71183215608903 | 0.28816784391097 |
12 | 5 | 3.1296520271263 | 1.8703479728737 |
13 | 4 | 6.17629178248699 | -2.17629178248699 |
14 | 4 | 2.50613534523638 | 1.49386465476362 |
15 | 4 | 3.29430976538687 | 0.705690234613127 |
16 | 4 | 2.613976865329 | 1.386023134671 |
17 | 4 | 4.1883637197065 | -0.188363719706505 |
18 | 4 | 4.6002002492813 | -0.600200249281295 |
19 | 4 | 3.37891832885296 | 0.621081671147038 |
20 | 4 | 1.88112246035135 | 2.11887753964865 |
21 | 3 | 5.79671077931852 | -2.79671077931852 |
22 | 3 | 2.38031053769683 | 0.619689462303168 |
23 | 3 | 1.92083808334861 | 1.07916191665139 |
24 | 3 | 2.31106860252922 | 0.688931397470784 |
25 | 3 | 2.35792176204831 | 0.642078237951686 |
26 | 3 | 2.47284326255505 | 0.52715673744495 |
27 | 3 | 2.60378390632265 | 0.396216093677352 |
28 | 3 | 3.19687091417826 | -0.196870914178259 |
29 | 3 | 2.0762284194694 | 0.9237715805306 |
30 | 3 | 2.14459872043417 | 0.855401279565833 |
31 | 3 | 3.54680480924684 | -0.546804809246844 |
32 | 3 | 3.04677023225495 | -0.0467702322549522 |
33 | 3 | 2.48874450647894 | 0.511255493521058 |
34 | 3 | 2.52281769382979 | 0.477182306170213 |
35 | 3 | 2.08444300764613 | 0.915556992353865 |
36 | 3 | 3.20766338807236 | -0.207663388072362 |
37 | 3 | 1.60384178147624 | 1.39615821852376 |
38 | 3 | 1.34943850213485 | 1.65056149786515 |
39 | 3 | 1.75893784243177 | 1.24106215756823 |
40 | 3 | 3.88150428591119 | -0.881504285911194 |
41 | 3 | 1.79627479958747 | 1.20372520041253 |
42 | 3 | 2.51398629605518 | 0.486013703944818 |
43 | 3 | 2.20659579983599 | 0.793404200164013 |
44 | 3 | 3.29778939324388 | -0.297789393243881 |
45 | 3 | 1.38127980874759 | 1.61872019125241 |
46 | 3 | 3.96725779323484 | -0.967257793234837 |
47 | 2 | 2.27412808947785 | -0.274128089477851 |
48 | 2 | 3.05903242204624 | -1.05903242204624 |
49 | 2 | 1.86232025588081 | 0.137679744119193 |
50 | 2 | 2.5013592863015 | -0.501359286301505 |
51 | 2 | 1.58121421640613 | 0.418785783593874 |
52 | 2 | 2.46418749162396 | -0.46418749162396 |
53 | 2 | 3.29617437833856 | -1.29617437833856 |
54 | 2 | 2.56538465885946 | -0.565384658859462 |
55 | 2 | 1.17569801387716 | 0.824301986122837 |
56 | 2 | 3.11010480496657 | -1.11010480496657 |
57 | 2 | 2.66681623168835 | -0.666816231688351 |
58 | 2 | 3.2788342145597 | -1.2788342145597 |
59 | 2 | 2.56103109921126 | -0.561031099211263 |
60 | 2 | 1.82581106005553 | 0.174188939944474 |
61 | 2 | 2.18331407573735 | -0.183314075737355 |
62 | 2 | 2.60555965927649 | -0.605559659276489 |
63 | 2 | 1.80051626364665 | 0.199483736353345 |
64 | 2 | 1.81729151855188 | 0.182708481448122 |
65 | 2 | 1.9985585316442 | 0.00144146835580372 |
66 | 2 | 1.35253578328744 | 0.647464216712559 |
67 | 2 | 1.48430086281765 | 0.515699137182352 |
68 | 2 | 2.172568857905 | -0.172568857905004 |
69 | 2 | 2.0986142887686 | -0.0986142887686041 |
70 | 2 | 1.97151757789308 | 0.028482422106917 |
71 | 2 | 2.34752098505012 | -0.347520985050124 |
72 | 2 | 0.984420425636595 | 1.01557957436341 |
73 | 2 | 2.24545985922672 | -0.245459859226715 |
74 | 2 | 1.31322193830672 | 0.686778061693284 |
75 | 2 | 1.27826121682756 | 0.721738783172442 |
76 | 2 | 1.49855137808479 | 0.501448621915213 |
77 | 2 | 1.83211182987862 | 0.167888170121379 |
78 | 2 | 1.43955614244172 | 0.560443857558282 |
79 | 2 | 1.08519449710815 | 0.914805502891852 |
80 | 1 | 1.30017023478773 | -0.300170234787728 |
81 | 1 | 1.15647950418814 | -0.156479504188136 |
82 | 1 | 1.23892424702138 | -0.238924247021377 |
83 | 1 | 2.41211734246638 | -1.41211734246638 |
84 | 1 | 1.97791897342702 | -0.977918973427019 |
85 | 1 | 1.31867310697002 | -0.318673106970024 |
86 | 1 | 2.47856465718585 | -1.47856465718585 |
87 | 1 | 2.29103627225027 | -1.29103627225027 |
88 | 1 | 2.17930570510201 | -1.17930570510201 |
89 | 1 | 0.928833460741462 | 0.0711665392585377 |
90 | 1 | 1.87087499238696 | -0.870874992386959 |
91 | 1 | 1.10447468677617 | -0.104474686776165 |
92 | 1 | 0.733283307200608 | 0.266716692799392 |
93 | 1 | 1.73003839566485 | -0.730038395664851 |
94 | 1 | 1.6690463121199 | -0.669046312119896 |
95 | 1 | 1.18789894078652 | -0.187898940786524 |
96 | 1 | 1.67275816436532 | -0.672758164365316 |
97 | 1 | 1.2125769099385 | -0.212576909938501 |
98 | 1 | 1.17754409058528 | -0.177544090585276 |
99 | 1 | 1.41450175111483 | -0.414501751114827 |
100 | 1 | 0.988108295987324 | 0.0118917040126762 |
101 | 1 | 1.03761409828319 | -0.037614098283186 |
102 | 1 | 0.992527546447243 | 0.00747245355275739 |
103 | 1 | 0.882160755759101 | 0.117839244240899 |
104 | 1 | 1.16596866782952 | -0.165968667829519 |
105 | 1 | 1.02370891054466 | -0.0237089105446586 |
106 | 1 | 1.07284074410729 | -0.0728407441072881 |
107 | 1 | 1.54207284320189 | -0.542072843201889 |
108 | 0 | 0.88013679694143 | -0.88013679694143 |
109 | 0 | 0.971984149139327 | -0.971984149139327 |
110 | 0 | 0.93907788717381 | -0.93907788717381 |
111 | 0 | 0.869375855302048 | -0.869375855302048 |
112 | 0 | 0.875946768080893 | -0.875946768080893 |
113 | 0 | 0.800075319282285 | -0.800075319282285 |
114 | 0 | 0.921697611581262 | -0.921697611581262 |
115 | 0 | 0.875293263226346 | -0.875293263226346 |
116 | 0 | 0.859185436495526 | -0.859185436495526 |
117 | 0 | 0.873284686316112 | -0.873284686316112 |
118 | 0 | 0.844085887484423 | -0.844085887484423 |
119 | 0 | 0.879198101801539 | -0.879198101801539 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.639006670332375 | 0.72198665933525 | 0.360993329667625 |
8 | 0.870387179134132 | 0.259225641731736 | 0.129612820865868 |
9 | 0.812280684731399 | 0.375438630537202 | 0.187719315268601 |
10 | 0.737738862596733 | 0.524522274806534 | 0.262261137403267 |
11 | 0.643373559436205 | 0.71325288112759 | 0.356626440563795 |
12 | 0.612880476346603 | 0.774239047306793 | 0.387119523653397 |
13 | 0.963334190959359 | 0.0733316180812812 | 0.0366658090406406 |
14 | 0.954068229341818 | 0.0918635413163643 | 0.0459317706581821 |
15 | 0.940491893039438 | 0.119016213921124 | 0.0595081069605619 |
16 | 0.929844578270862 | 0.140310843458276 | 0.0701554217291381 |
17 | 0.924018605381153 | 0.151962789237694 | 0.0759813946188471 |
18 | 0.909710879730186 | 0.180578240539628 | 0.0902891202698139 |
19 | 0.913088129549191 | 0.173823740901618 | 0.0869118704508091 |
20 | 0.928022989723514 | 0.143954020552973 | 0.0719770102764863 |
21 | 0.998791416199016 | 0.0024171676019681 | 0.00120858380098405 |
22 | 0.998726735723086 | 0.00254652855382771 | 0.00127326427691385 |
23 | 0.998700380372055 | 0.00259923925589061 | 0.0012996196279453 |
24 | 0.998436683322726 | 0.0031266333545488 | 0.0015633166772744 |
25 | 0.998195161954741 | 0.00360967609051724 | 0.00180483804525862 |
26 | 0.997857017932647 | 0.00428596413470655 | 0.00214298206735327 |
27 | 0.997458575566357 | 0.00508284886728534 | 0.00254142443364267 |
28 | 0.99748980854123 | 0.00502038291753969 | 0.00251019145876984 |
29 | 0.997143489367629 | 0.00571302126474294 | 0.00285651063237147 |
30 | 0.996650304694051 | 0.00669939061189883 | 0.00334969530594942 |
31 | 0.996200288658376 | 0.00759942268324715 | 0.00379971134162358 |
32 | 0.996078429738259 | 0.00784314052348113 | 0.00392157026174057 |
33 | 0.995150265364651 | 0.00969946927069768 | 0.00484973463534884 |
34 | 0.994233530474218 | 0.011532939051564 | 0.005766469525782 |
35 | 0.99379157253727 | 0.0124168549254602 | 0.00620842746273012 |
36 | 0.993218566060294 | 0.0135628678794124 | 0.00678143393970622 |
37 | 0.995202778004407 | 0.00959444399118597 | 0.00479722199559299 |
38 | 0.997486995671649 | 0.00502600865670235 | 0.00251300432835117 |
39 | 0.998393090377057 | 0.00321381924588548 | 0.00160690962294274 |
40 | 0.998536024074592 | 0.00292795185081556 | 0.00146397592540778 |
41 | 0.999157109725106 | 0.00168578054978772 | 0.000842890274893862 |
42 | 0.998968821244536 | 0.00206235751092741 | 0.00103117875546371 |
43 | 0.999228393409993 | 0.00154321318001363 | 0.000771606590006817 |
44 | 0.999309504658948 | 0.00138099068210344 | 0.000690495341051719 |
45 | 0.99983749997469 | 0.000325000050620288 | 0.000162500025310144 |
46 | 0.999848944544799 | 0.00030211091040228 | 0.00015105545520114 |
47 | 0.999861206893053 | 0.000277586213893112 | 0.000138793106946556 |
48 | 0.999916698235476 | 0.000166603529047083 | 8.33017645235414e-05 |
49 | 0.999901086706862 | 0.000197826586276627 | 9.89132931383134e-05 |
50 | 0.99990729821387 | 0.000185403572259935 | 9.27017861299677e-05 |
51 | 0.999896100140255 | 0.000207799719490406 | 0.000103899859745203 |
52 | 0.999880249495417 | 0.000239501009166859 | 0.00011975050458343 |
53 | 0.999926145783235 | 0.000147708433529666 | 7.38542167648331e-05 |
54 | 0.999918232636465 | 0.000163534727069531 | 8.17673635347656e-05 |
55 | 0.99993277680523 | 0.000134446389540283 | 6.72231947701415e-05 |
56 | 0.999948591082441 | 0.000102817835117899 | 5.14089175589494e-05 |
57 | 0.999954289132156 | 9.14217356873341e-05 | 4.5710867843667e-05 |
58 | 0.999967339438686 | 6.53211226281144e-05 | 3.26605613140572e-05 |
59 | 0.999960160262575 | 7.96794748499265e-05 | 3.98397374249632e-05 |
60 | 0.999951897459347 | 9.62050813067482e-05 | 4.81025406533741e-05 |
61 | 0.999931124067337 | 0.000137751865326866 | 6.8875932663433e-05 |
62 | 0.999908671280714 | 0.000182657438572824 | 9.13287192864118e-05 |
63 | 0.999883513518308 | 0.000232972963384165 | 0.000116486481692083 |
64 | 0.999905308384898 | 0.000189383230204221 | 9.46916151021106e-05 |
65 | 0.999862001434509 | 0.000275997130982826 | 0.000137998565491413 |
66 | 0.999855281232509 | 0.000289437534981527 | 0.000144718767490763 |
67 | 0.999833536513077 | 0.000332926973846747 | 0.000166463486923374 |
68 | 0.999759358775332 | 0.00048128244933667 | 0.000240641224668335 |
69 | 0.999736870750172 | 0.000526258499656919 | 0.000263129249828459 |
70 | 0.999716655920005 | 0.000566688159988966 | 0.000283344079994483 |
71 | 0.999568452990784 | 0.00086309401843184 | 0.00043154700921592 |
72 | 0.999820810966811 | 0.000358378066377182 | 0.000179189033188591 |
73 | 0.999794722371867 | 0.000410555256266271 | 0.000205277628133135 |
74 | 0.999886817311712 | 0.000226365376576543 | 0.000113182688288271 |
75 | 0.999948916993302 | 0.000102166013395202 | 5.1083006697601e-05 |
76 | 0.99997269354195 | 5.46129161009223e-05 | 2.73064580504612e-05 |
77 | 0.99995809301377 | 8.38139724596994e-05 | 4.19069862298497e-05 |
78 | 0.999987625465563 | 2.47490688741186e-05 | 1.23745344370593e-05 |
79 | 0.999999233697062 | 1.53260587531096e-06 | 7.6630293765548e-07 |
80 | 0.999998859620906 | 2.2807581880467e-06 | 1.14037909402335e-06 |
81 | 0.999997741540475 | 4.51691904902339e-06 | 2.25845952451169e-06 |
82 | 0.999996747740331 | 6.50451933740867e-06 | 3.25225966870433e-06 |
83 | 0.999996742936436 | 6.51412712738445e-06 | 3.25706356369222e-06 |
84 | 0.999994969630137 | 1.00607397264641e-05 | 5.03036986323204e-06 |
85 | 0.999991910197618 | 1.61796047632808e-05 | 8.08980238164038e-06 |
86 | 0.99999294486287 | 1.41102742608648e-05 | 7.0551371304324e-06 |
87 | 0.999992369265719 | 1.52614685623054e-05 | 7.63073428115268e-06 |
88 | 0.999994090297439 | 1.18194051219285e-05 | 5.90970256096427e-06 |
89 | 0.999993599928584 | 1.28001428327837e-05 | 6.40007141639183e-06 |
90 | 0.999991004866753 | 1.79902664933775e-05 | 8.99513324668875e-06 |
91 | 0.999985698055982 | 2.86038880357616e-05 | 1.43019440178808e-05 |
92 | 0.999989772098139 | 2.04558037221148e-05 | 1.02279018610574e-05 |
93 | 0.999985704775442 | 2.85904491160469e-05 | 1.42952245580234e-05 |
94 | 0.999981024263784 | 3.79514724327791e-05 | 1.89757362163896e-05 |
95 | 0.999969908467315 | 6.01830653696285e-05 | 3.00915326848142e-05 |
96 | 0.999950449855711 | 9.91002885773438e-05 | 4.95501442886719e-05 |
97 | 0.999890657999537 | 0.000218684000925571 | 0.000109342000462786 |
98 | 0.999779938468671 | 0.000440123062658917 | 0.000220061531329458 |
99 | 0.999534182962226 | 0.000931634075548184 | 0.000465817037774092 |
100 | 0.999499585371445 | 0.00100082925710991 | 0.000500414628554956 |
101 | 0.999315816795032 | 0.00136836640993509 | 0.000684183204967546 |
102 | 0.999531799344059 | 0.0009364013118829 | 0.00046820065594145 |
103 | 0.999971958033596 | 5.60839328086267e-05 | 2.80419664043134e-05 |
104 | 0.999911473993476 | 0.00017705201304706 | 8.85260065235298e-05 |
105 | 0.999978136068021 | 4.37278639572884e-05 | 2.18639319786442e-05 |
106 | 0.99999999954735 | 9.05299897090854e-10 | 4.52649948545427e-10 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 89 | 0.839622641509434 | NOK |
5% type I error level | 92 | 0.867924528301887 | NOK |
10% type I error level | 94 | 0.886792452830189 | NOK |