Multiple Linear Regression - Estimated Regression Equation |
Hours[t] = + 1.18626239958966 -1.67703625358615e-05Characters[t] + 0.000643927706859761Revisions[t] + 0.0101050471149269Blogs[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) | 1.18626239958966 | 0.368962 | 3.2151 | 0.001679 | 0.000839 |
Characters | -1.67703625358615e-05 | 3.8e-05 | -0.4384 | 0.661866 | 0.330933 |
Revisions | 0.000643927706859761 | 0.000132 | 4.8721 | 3e-06 | 2e-06 |
Blogs | 0.0101050471149269 | 0.028573 | 0.3537 | 0.724225 | 0.362112 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.55686403631134 |
R-squared | 0.310097554936958 |
Adjusted R-squared | 0.292705056321923 |
F-TEST (value) | 17.8293850585044 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 119 |
p-value | 1.27007593331285e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.96979253167894 |
Sum Squared Residuals | 461.729831525119 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 18 | 1.46565164820469 | 16.5343483517953 |
2 | 10 | 5.24242450061255 | 4.75757549938745 |
3 | 9 | 8.81889705849536 | 0.181102941504635 |
4 | 7 | 3.35460027551033 | 3.64539972448967 |
5 | 7 | 5.30682304922779 | 1.69317695077221 |
6 | 6 | 2.86951958879065 | 3.13048041120935 |
7 | 6 | 4.23626291833371 | 1.76373708166629 |
8 | 6 | 4.51759675815228 | 1.48240324184772 |
9 | 5 | 6.94684071315069 | -1.94684071315068 |
10 | 5 | 4.26215556883419 | 0.737844431165805 |
11 | 5 | 4.01678319764268 | 0.98321680235732 |
12 | 5 | 1.98117841348999 | 3.01882158651001 |
13 | 5 | 3.71073914598984 | 1.28926085401016 |
14 | 5 | 2.91480060483168 | 2.08519939516832 |
15 | 4 | 2.11774551784611 | 1.88225448215389 |
16 | 4 | 4.78827473580889 | -0.788274735808888 |
17 | 4 | 2.80967978064227 | 1.19032021935773 |
18 | 4 | 2.36734001642064 | 1.63265998357936 |
19 | 4 | 1.65315106110741 | 2.34684893889259 |
20 | 4 | 4.01427157212099 | -0.0142715721209907 |
21 | 4 | 3.64710921750409 | 0.352890782495911 |
22 | 4 | 3.27159378646436 | 0.72840621353564 |
23 | 4 | 3.91150849737149 | 0.0884915026285089 |
24 | 4 | 3.0233794714375 | 0.9766205285625 |
25 | 4 | 3.657736895563 | 0.342263104437005 |
26 | 4 | 3.96633423196494 | 0.0336657680350585 |
27 | 4 | 2.58719287744806 | 1.41280712255194 |
28 | 4 | 1.4589237987962 | 2.5410762012038 |
29 | 4 | 3.75773671762306 | 0.242263282376936 |
30 | 4 | 6.00552754658533 | -2.00552754658533 |
31 | 4 | 3.17923663119905 | 0.820763368800948 |
32 | 4 | 2.85513253987655 | 1.14486746012345 |
33 | 4 | 3.55888495249522 | 0.441115047504785 |
34 | 4 | 2.15338611968693 | 1.84661388031307 |
35 | 3 | 2.84112494932703 | 0.158875050672969 |
36 | 3 | 2.66723380506837 | 0.33276619493163 |
37 | 3 | 2.37479321381204 | 0.625206786187959 |
38 | 3 | 3.6859215398947 | -0.685921539894701 |
39 | 3 | 3.0682131528503 | -0.0682131528503051 |
40 | 3 | 3.55706017996637 | -0.557060179966371 |
41 | 3 | 4.03930490552256 | -1.03930490552256 |
42 | 3 | 2.21116214065349 | 0.788837859346511 |
43 | 3 | 3.00262644317017 | -0.00262644317017389 |
44 | 3 | 2.54344777227803 | 0.456552227721966 |
45 | 3 | 3.52804860324077 | -0.528048603240771 |
46 | 3 | 3.07171544316542 | -0.0717154431654237 |
47 | 3 | 1.82707387727492 | 1.17292612272508 |
48 | 3 | 2.48146994814316 | 0.518530051856838 |
49 | 3 | 4.73161585045702 | -1.73161585045702 |
50 | 3 | 2.59462327132129 | 0.405376728678705 |
51 | 3 | 2.61645331323177 | 0.383546686768228 |
52 | 3 | 2.7645734541258 | 0.235426545874199 |
53 | 3 | 2.34851714672572 | 0.651482853274284 |
54 | 3 | 4.09676180496425 | -1.09676180496425 |
55 | 3 | 3.4911055396001 | -0.491105539600103 |
56 | 3 | 2.0276462067 | 0.972353793300001 |
57 | 2 | 2.8410950417545 | -0.841095041754502 |
58 | 2 | 2.56037138890415 | -0.56037138890415 |
59 | 2 | 3.16354731414465 | -1.16354731414465 |
60 | 2 | 2.96808694914862 | -0.968086949148615 |
61 | 2 | 3.12299661028314 | -1.12299661028314 |
62 | 2 | 3.07007909511615 | -1.07007909511615 |
63 | 2 | 4.17041871463925 | -2.17041871463925 |
64 | 2 | 2.46872422873491 | -0.468724228734914 |
65 | 2 | 3.58382944962695 | -1.58382944962695 |
66 | 2 | 3.00739422493345 | -1.00739422493345 |
67 | 2 | 2.46922125651755 | -0.469221256517548 |
68 | 2 | 2.49242772932661 | -0.492427729326612 |
69 | 2 | 1.61711611788469 | 0.382883882115314 |
70 | 2 | 3.69293627443619 | -1.69293627443619 |
71 | 2 | 3.82415374641061 | -1.82415374641061 |
72 | 2 | 2.87451137349737 | -0.874511373497366 |
73 | 2 | 3.94092468278221 | -1.94092468278221 |
74 | 2 | 3.61708133684479 | -1.61708133684479 |
75 | 2 | 2.69135372894245 | -0.691353728942453 |
76 | 2 | 2.59759285173961 | -0.597592851739608 |
77 | 2 | 1.58652467975471 | 0.413475320245287 |
78 | 2 | 1.76350644798028 | 0.23649355201972 |
79 | 2 | 2.13095014732786 | -0.130950147327864 |
80 | 2 | 1.22423701368361 | 0.77576298631639 |
81 | 2 | 1.41673549600239 | 0.583264503997615 |
82 | 2 | 1.5168606393766 | 0.4831393606234 |
83 | 1 | 1.96661922742588 | -0.966619227425883 |
84 | 1 | 1.20500582486271 | -0.205005824862708 |
85 | 1 | 1.82958618284258 | -0.829586182842582 |
86 | 1 | 1.36416771556664 | -0.364167715566645 |
87 | 1 | 2.1118977646041 | -1.1118977646041 |
88 | 1 | 2.59215248708025 | -1.59215248708025 |
89 | 1 | 2.04999012727268 | -1.04999012727268 |
90 | 1 | 1.68492755916619 | -0.684927559166186 |
91 | 1 | 2.18241957939137 | -1.18241957939137 |
92 | 1 | 2.0421922514958 | -1.0421922514958 |
93 | 1 | 1.35427378535319 | -0.354273785353194 |
94 | 1 | 1.69457007590072 | -0.694570075900719 |
95 | 1 | 1.90381202734443 | -0.903812027344426 |
96 | 1 | 1.6611199323602 | -0.661119932360197 |
97 | 1 | 2.09278758929853 | -1.09278758929853 |
98 | 1 | 1.67887625103393 | -0.678876251033931 |
99 | 1 | 1.42305128242316 | -0.423051282423159 |
100 | 1 | 1.80325567646708 | -0.803255676467076 |
101 | 1 | 1.37387869157684 | -0.373878691576837 |
102 | 1 | 1.43060555901363 | -0.430605559013629 |
103 | 1 | 1.1867280893195 | -0.1867280893195 |
104 | 1 | 1.94453083351706 | -0.944530833517061 |
105 | 1 | 1.33028359168435 | -0.330283591684347 |
106 | 1 | 0.981246449174872 | 0.0187535508251284 |
107 | 0 | 1.2410211067291 | -1.2410211067291 |
108 | 0 | 1.72452335207814 | -1.72452335207814 |
109 | 0 | 1.20028100653532 | -1.20028100653532 |
110 | 0 | 1.41199531060113 | -1.41199531060113 |
111 | 0 | 1.27222966711799 | -1.27222966711799 |
112 | 0 | 1.12072993458484 | -1.12072993458484 |
113 | 0 | 1.02822663184167 | -1.02822663184167 |
114 | 0 | 1.13424839743624 | -1.13424839743624 |
115 | 0 | 1.07698242724075 | -1.07698242724075 |
116 | 0 | 1.03569671503382 | -1.03569671503382 |
117 | 0 | 1.03771873282499 | -1.03771873282499 |
118 | 0 | 1.04734601955686 | -1.04734601955686 |
119 | 0 | 1.08221824285348 | -1.08221824285348 |
120 | 0 | 1.080826302763 | -1.080826302763 |
121 | 0 | 1.09493017765566 | -1.09493017765566 |
122 | 0 | 1.03487550941474 | -1.03487550941474 |
123 | 0 | 1.07658340104143 | -1.07658340104143 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.995177162597735 | 0.00964567480453069 | 0.00482283740226534 |
8 | 0.999751047456536 | 0.000497905086928888 | 0.000248952543464444 |
9 | 0.999443869269356 | 0.00111226146128815 | 0.000556130730644076 |
10 | 0.999999993784486 | 1.24310271955569e-08 | 6.21551359777846e-09 |
11 | 0.999999986417353 | 2.71652942195582e-08 | 1.35826471097791e-08 |
12 | 0.999999991965539 | 1.60689216082136e-08 | 8.03446080410682e-09 |
13 | 0.999999987081838 | 2.58363249132925e-08 | 1.29181624566463e-08 |
14 | 0.999999989132607 | 2.17347862958611e-08 | 1.08673931479306e-08 |
15 | 0.999999999977724 | 4.45522974904166e-11 | 2.22761487452083e-11 |
16 | 0.999999999998736 | 2.52798645422356e-12 | 1.26399322711178e-12 |
17 | 0.999999999999429 | 1.14184294600032e-12 | 5.7092147300016e-13 |
18 | 1 | 1.35605920765782e-17 | 6.78029603828911e-18 |
19 | 1 | 9.2400800857228e-19 | 4.6200400428614e-19 |
20 | 1 | 1.20852219253281e-18 | 6.04261096266407e-19 |
21 | 1 | 2.39025358648253e-18 | 1.19512679324126e-18 |
22 | 1 | 1.88736104164426e-18 | 9.4368052082213e-19 |
23 | 1 | 1.50327423578909e-18 | 7.51637117894546e-19 |
24 | 1 | 1.89036026441384e-18 | 9.45180132206919e-19 |
25 | 1 | 1.69011602375742e-18 | 8.45058011878712e-19 |
26 | 1 | 3.71520352599343e-18 | 1.85760176299672e-18 |
27 | 1 | 2.11521578591707e-18 | 1.05760789295853e-18 |
28 | 1 | 1.8604591525508e-20 | 9.302295762754e-21 |
29 | 1 | 3.53484494057599e-20 | 1.76742247028799e-20 |
30 | 1 | 2.55444077149092e-20 | 1.27722038574546e-20 |
31 | 1 | 1.36757422994129e-20 | 6.83787114970643e-21 |
32 | 1 | 4.41338179617188e-21 | 2.20669089808594e-21 |
33 | 1 | 6.95682236547353e-21 | 3.47841118273677e-21 |
34 | 1 | 3.43651743477746e-22 | 1.71825871738873e-22 |
35 | 1 | 1.94042042547678e-22 | 9.70210212738391e-23 |
36 | 1 | 1.40778260714779e-22 | 7.03891303573896e-23 |
37 | 1 | 9.28553151533872e-23 | 4.64276575766936e-23 |
38 | 1 | 2.30399934947404e-22 | 1.15199967473702e-22 |
39 | 1 | 5.13061207276864e-22 | 2.56530603638432e-22 |
40 | 1 | 6.31353513750969e-22 | 3.15676756875485e-22 |
41 | 1 | 1.360556196952e-21 | 6.80278098476001e-22 |
42 | 1 | 6.11579411367852e-22 | 3.05789705683926e-22 |
43 | 1 | 6.67128749669142e-22 | 3.33564374834571e-22 |
44 | 1 | 3.05635448495632e-22 | 1.52817724247816e-22 |
45 | 1 | 7.11685568114764e-22 | 3.55842784057382e-22 |
46 | 1 | 7.71254122971108e-22 | 3.85627061485554e-22 |
47 | 1 | 4.46959245770049e-23 | 2.23479622885024e-23 |
48 | 1 | 7.26234783656835e-24 | 3.63117391828417e-24 |
49 | 1 | 1.84518717508263e-23 | 9.22593587541317e-24 |
50 | 1 | 6.16952372109135e-24 | 3.08476186054568e-24 |
51 | 1 | 6.73605301624296e-25 | 3.36802650812148e-25 |
52 | 1 | 1.42463257258972e-24 | 7.12316286294862e-25 |
53 | 1 | 5.44085327336189e-25 | 2.72042663668094e-25 |
54 | 1 | 1.31338899641832e-24 | 6.56694498209161e-25 |
55 | 1 | 8.6215380857858e-25 | 4.3107690428929e-25 |
56 | 1 | 9.58667105295549e-27 | 4.79333552647775e-27 |
57 | 1 | 2.41471485822228e-26 | 1.20735742911114e-26 |
58 | 1 | 3.64507449723903e-26 | 1.82253724861951e-26 |
59 | 1 | 1.1675009887067e-25 | 5.83750494353351e-26 |
60 | 1 | 2.54079116648225e-25 | 1.27039558324113e-25 |
61 | 1 | 8.95790575776045e-25 | 4.47895287888023e-25 |
62 | 1 | 3.18927874166293e-24 | 1.59463937083146e-24 |
63 | 1 | 1.0866580514964e-25 | 5.43329025748199e-26 |
64 | 1 | 5.25698615254718e-25 | 2.62849307627359e-25 |
65 | 1 | 1.58710585395574e-24 | 7.93552926977872e-25 |
66 | 1 | 4.69882971779288e-24 | 2.34941485889644e-24 |
67 | 1 | 2.15192742028758e-23 | 1.07596371014379e-23 |
68 | 1 | 6.36158921033499e-23 | 3.18079460516749e-23 |
69 | 1 | 1.63366688459937e-22 | 8.16833442299685e-23 |
70 | 1 | 5.36577389076949e-22 | 2.68288694538474e-22 |
71 | 1 | 1.7555903843497e-21 | 8.77795192174848e-22 |
72 | 1 | 6.33268511568304e-21 | 3.16634255784152e-21 |
73 | 1 | 8.22387102483073e-21 | 4.11193551241537e-21 |
74 | 1 | 2.23435987048006e-20 | 1.11717993524003e-20 |
75 | 1 | 9.23686304162203e-20 | 4.61843152081102e-20 |
76 | 1 | 4.17944302237004e-19 | 2.08972151118502e-19 |
77 | 1 | 1.27696008817565e-20 | 6.38480044087825e-21 |
78 | 1 | 4.98903948229101e-20 | 2.4945197411455e-20 |
79 | 1 | 4.2842866018102e-20 | 2.1421433009051e-20 |
80 | 1 | 9.18371758310597e-23 | 4.59185879155299e-23 |
81 | 1 | 2.64761277954921e-22 | 1.3238063897746e-22 |
82 | 1 | 2.75713382208728e-22 | 1.37856691104364e-22 |
83 | 1 | 4.25855796141592e-22 | 2.12927898070796e-22 |
84 | 1 | 5.21850828217907e-22 | 2.60925414108953e-22 |
85 | 1 | 2.7518880277349e-21 | 1.37594401386745e-21 |
86 | 1 | 6.35399233855996e-21 | 3.17699616927998e-21 |
87 | 1 | 3.73129859859063e-20 | 1.86564929929531e-20 |
88 | 1 | 1.06385585543415e-19 | 5.31927927717075e-20 |
89 | 1 | 4.83720135169076e-19 | 2.41860067584538e-19 |
90 | 1 | 3.02932976202216e-18 | 1.51466488101108e-18 |
91 | 1 | 5.26380656236541e-18 | 2.6319032811827e-18 |
92 | 1 | 2.78477815714552e-17 | 1.39238907857276e-17 |
93 | 1 | 6.04924301797096e-17 | 3.02462150898548e-17 |
94 | 1 | 3.73831728035726e-16 | 1.86915864017863e-16 |
95 | 0.999999999999999 | 1.68458521346213e-15 | 8.42292606731065e-16 |
96 | 0.999999999999996 | 8.1422033766562e-15 | 4.0711016883281e-15 |
97 | 0.999999999999975 | 4.97584117828297e-14 | 2.48792058914148e-14 |
98 | 0.99999999999991 | 1.80469817136802e-13 | 9.02349085684012e-14 |
99 | 0.999999999999594 | 8.12246229570982e-13 | 4.06123114785491e-13 |
100 | 0.999999999997463 | 5.07487827562788e-12 | 2.53743913781394e-12 |
101 | 0.999999999995954 | 8.09210984527227e-12 | 4.04605492263613e-12 |
102 | 0.999999999997711 | 4.57809983646309e-12 | 2.28904991823154e-12 |
103 | 0.999999999984496 | 3.10073283082447e-11 | 1.55036641541223e-11 |
104 | 0.99999999989596 | 2.08080189731602e-10 | 1.04040094865801e-10 |
105 | 0.999999999998295 | 3.41065925308799e-12 | 1.70532962654399e-12 |
106 | 1 | 0 | 0 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
113 | 1 | 0 | 0 |
114 | 1 | 0 | 0 |
115 | 1 | 0 | 0 |
116 | 1 | 0 | 0 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 110 | 1 | NOK |
5% type I error level | 110 | 1 | NOK |
10% type I error level | 110 | 1 | NOK |