Multiple Linear Regression - Estimated Regression Equation |
CompendiumViews[t] = + 9.63443536226323 + 0.159598779227482BloggedComputations[t] + 0.471884456993842hyperlinks[t] + 0.539024502581444submittedFeedback[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) | 9.63443536226323 | 5.512554 | 1.7477 | 0.082704 | 0.041352 |
BloggedComputations | 0.159598779227482 | 0.369934 | 0.4314 | 0.666823 | 0.333412 |
hyperlinks | 0.471884456993842 | 0.322554 | 1.463 | 0.14572 | 0.07286 |
submittedFeedback | 0.539024502581444 | 0.145678 | 3.7001 | 0.000309 | 0.000154 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.507587870131413 |
R-squared | 0.257645445904544 |
Adjusted R-squared | 0.241737848316784 |
F-TEST (value) | 16.1963768874058 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 140 |
p-value | 4.30712798760169e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 28.9949877595622 |
Sum Squared Residuals | 117699.304124803 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 68 | 28.6242074847693 | 39.3757925152307 |
2 | 17 | 41.6175700332919 | -24.6175700332919 |
3 | 1 | 9.63443536226322 | -8.63443536226322 |
4 | 114 | 54.56029520571 | 59.43970479429 |
5 | 95 | 67.8805419636014 | 27.1194580363986 |
6 | 148 | 101.460369097739 | 46.5396309022612 |
7 | 56 | 46.6126614364946 | 9.38733856350541 |
8 | 26 | 58.9814526294845 | -32.9814526294845 |
9 | 63 | 64.5497032418901 | -1.54970324189008 |
10 | 96 | 64.8105767733267 | 31.1894232266733 |
11 | 74 | 43.7291677779766 | 30.2708322220234 |
12 | 65 | 73.6521168506504 | -8.65211685065042 |
13 | 40 | 35.8068526968134 | 4.19314730318658 |
14 | 173 | 58.6852449243797 | 114.31475507562 |
15 | 28 | 42.4531523143819 | -14.4531523143819 |
16 | 55 | 41.6114329228285 | 13.3885670771715 |
17 | 58 | 73.4994299521115 | -15.4994299521115 |
18 | 25 | 20.4149254138921 | 4.58507458610788 |
19 | 103 | 72.9105428436508 | 30.0894571563492 |
20 | 29 | 29.611701894173 | -0.611701894172959 |
21 | 31 | 43.9785418587116 | -12.9785418587116 |
22 | 43 | 71.7568923717612 | -28.7568923717612 |
23 | 74 | 36.8212153347198 | 37.1787846652802 |
24 | 99 | 37.11855240748 | 61.88144759252 |
25 | 25 | 52.9919549361896 | -27.9919549361896 |
26 | 69 | 43.3316853206626 | 25.6683146793374 |
27 | 62 | 54.817710534789 | 7.18228946521097 |
28 | 25 | 65.6599828157939 | -40.6599828157939 |
29 | 38 | 64.3317804356442 | -26.3317804356442 |
30 | 57 | 38.3005550729578 | 18.6994449270422 |
31 | 52 | 50.0900499462814 | 1.90995005371861 |
32 | 91 | 43.5377631268297 | 47.4622368731703 |
33 | 48 | 32.0494090780011 | 15.9505909219989 |
34 | 52 | 30.1864106438263 | 21.8135893561737 |
35 | 35 | 56.971129637009 | -21.971129637009 |
36 | 0 | 9.63443536226322 | -9.63443536226322 |
37 | 31 | 43.3907841179062 | -12.3907841179062 |
38 | 107 | 46.558570382059 | 60.441429617941 |
39 | 242 | 48.8577599781027 | 193.142240021897 |
40 | 41 | 83.7865251344556 | -42.7865251344556 |
41 | 57 | 64.9993025163677 | -7.99930251636766 |
42 | 32 | 47.2380075622525 | -15.2380075622525 |
43 | 17 | 37.1764517376769 | -20.1764517376769 |
44 | 36 | 56.441695923222 | -20.441695923222 |
45 | 29 | 64.5580945636378 | -35.5580945636378 |
46 | 22 | 44.2048559867051 | -22.2048559867051 |
47 | 21 | 48.2811470905687 | -27.2811470905687 |
48 | 41 | 48.7748965572838 | -7.77489655728375 |
49 | 64 | 45.6044313850251 | 18.3955686149749 |
50 | 71 | 48.5071111451586 | 22.4928888548414 |
51 | 28 | 51.9967693518456 | -23.9967693518456 |
52 | 36 | 40.9799496866072 | -4.97994968660723 |
53 | 45 | 52.2821868011093 | -7.28218680110929 |
54 | 22 | 57.1238165355479 | -35.1238165355479 |
55 | 27 | 70.1317776156729 | -43.1317776156729 |
56 | 38 | 37.8793079920685 | 0.120692007931454 |
57 | 26 | 45.3489201938267 | -19.3489201938267 |
58 | 41 | 39.3471482796051 | 1.65285172039494 |
59 | 21 | 49.5230278475418 | -28.5230278475418 |
60 | 28 | 41.2354608778056 | -13.2354608778056 |
61 | 36 | 46.2881015378014 | -10.2881015378014 |
62 | 58 | 37.618434460632 | 20.381565539368 |
63 | 65 | 33.3254200175693 | 31.6745799824307 |
64 | 29 | 42.2935535351544 | -13.2935535351544 |
65 | 21 | 31.4378821895939 | -10.4378821895939 |
66 | 19 | 54.5035207191421 | -35.5035207191421 |
67 | 55 | 54.5549328654718 | 0.445067134528177 |
68 | 119 | 68.8979381070438 | 50.1020618929563 |
69 | 34 | 49.0741332438981 | -15.0741332438981 |
70 | 25 | 31.195415465521 | -6.19541546552101 |
71 | 113 | 59.329777151753 | 53.670222848247 |
72 | 46 | 30.0137673974734 | 15.9862326025266 |
73 | 28 | 64.2020833904555 | -36.2020833904555 |
74 | 63 | 49.1258999876581 | 13.8741000123419 |
75 | 52 | 57.509024771935 | -5.50902477193501 |
76 | 35 | 29.0393174551952 | 5.96068254480477 |
77 | 32 | 43.6278930257674 | -11.6278930257674 |
78 | 45 | 48.115765798308 | -3.11576579830801 |
79 | 42 | 41.3340567219089 | 0.665943278091089 |
80 | 28 | 37.5689264521828 | -9.56892645218281 |
81 | 32 | 54.2556961788575 | -22.2556961788575 |
82 | 32 | 50.7215331825027 | -18.7215331825027 |
83 | 27 | 42.8743993952712 | -15.8743993952712 |
84 | 69 | 52.5576588641483 | 16.4423411358517 |
85 | 30 | 44.755025342558 | -14.755025342558 |
86 | 48 | 43.0854103208285 | 4.91458967917155 |
87 | 57 | 69.9307075523138 | -12.9307075523138 |
88 | 36 | 41.7203943259515 | -5.72039432595148 |
89 | 20 | 42.3956030575888 | -22.3956030575888 |
90 | 54 | 46.0318155763778 | 7.96818442362218 |
91 | 26 | 41.4579712540645 | -15.4579712540645 |
92 | 58 | 49.2099673995503 | 8.79003260044975 |
93 | 35 | 41.5538836660354 | -6.55388366603539 |
94 | 28 | 35.2375017633717 | -7.23750176337172 |
95 | 8 | 30.4864266246924 | -22.4864266246924 |
96 | 96 | 57.168316801189 | 38.831683198811 |
97 | 50 | 59.3006501879394 | -9.30065018793944 |
98 | 15 | 19.3936508952972 | -4.39365089529717 |
99 | 65 | 44.7696238741604 | 20.2303761258396 |
100 | 33 | 33.223370495135 | -0.223370495134966 |
101 | 7 | 16.3033747597781 | -9.30337475977815 |
102 | 17 | 34.3075566107612 | -17.3075566107612 |
103 | 55 | 43.4046078792834 | 11.5953921207166 |
104 | 32 | 30.8317176414249 | 1.16828235857512 |
105 | 22 | 35.9925449343184 | -13.9925449343184 |
106 | 41 | 34.681619993877 | 6.31838000612296 |
107 | 50 | 51.409790905292 | -1.40979090529198 |
108 | 7 | 17.1040475640214 | -10.1040475640214 |
109 | 0 | 9.63443536226322 | -9.63443536226322 |
110 | 26 | 48.8255339333883 | -22.8255339333883 |
111 | 22 | 33.7205736401811 | -11.7205736401811 |
112 | 26 | 55.7657124213595 | -29.7657124213595 |
113 | 37 | 57.3486512224823 | -20.3486512224823 |
114 | 29 | 36.9811687113774 | -7.98116871137743 |
115 | 0 | 9.63443536226322 | -9.63443536226322 |
116 | 0 | 9.63443536226322 | -9.63443536226322 |
117 | 42 | 55.8171245676893 | -13.8171245676893 |
118 | 51 | 48.6440701444396 | 2.3559298555604 |
119 | 77 | 47.1290461591296 | 29.8709538408704 |
120 | 32 | 44.8202612502649 | -12.8202612502649 |
121 | 63 | 12.8405847815938 | 50.1594152184062 |
122 | 50 | 59.0390018862776 | -9.03900188627764 |
123 | 18 | 36.3040558418595 | -18.3040558418595 |
124 | 37 | 41.5972590880476 | -4.59725908804765 |
125 | 23 | 27.5147026810908 | -4.51470268109078 |
126 | 19 | 20.261463745128 | -1.26146374512802 |
127 | 39 | 52.9274937987078 | -13.9274937987078 |
128 | 38 | 47.0062609946295 | -9.00626099462945 |
129 | 55 | 54.3508338206032 | 0.649166179396827 |
130 | 22 | 14.1062301621423 | 7.89376983785773 |
131 | 7 | 9.63443536226322 | -2.63443536226322 |
132 | 21 | 29.7440778474675 | -8.74407784746755 |
133 | 5 | 11.790533372589 | -6.790533372589 |
134 | 21 | 23.0628687530523 | -2.06286875305234 |
135 | 1 | 10.4324292584006 | -9.43242925840064 |
136 | 22 | 13.5069774946618 | 8.49302250533817 |
137 | 0 | 9.63443536226322 | -9.63443536226322 |
138 | 31 | 39.7683953604943 | -8.76839536049435 |
139 | 25 | 38.607478410486 | -13.607478410486 |
140 | 0 | 9.63443536226322 | -9.63443536226322 |
141 | 4 | 9.63443536226322 | -5.63443536226322 |
142 | 20 | 26.0468623935543 | -6.04686239355427 |
143 | 29 | 36.5242328593897 | -7.52423285938971 |
144 | 33 | 35.9419075582138 | -2.94190755821384 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.819710396875195 | 0.360579206249609 | 0.180289603124805 |
8 | 0.905582733177442 | 0.188834533645116 | 0.0944172668225579 |
9 | 0.838251719724204 | 0.323496560551591 | 0.161748280275796 |
10 | 0.786182212743209 | 0.427635574513583 | 0.213817787256791 |
11 | 0.703148101333512 | 0.593703797332977 | 0.296851898666488 |
12 | 0.64611383668625 | 0.7077723266275 | 0.35388616331375 |
13 | 0.550593349490892 | 0.898813301018217 | 0.449406650509108 |
14 | 0.914206592270306 | 0.171586815459388 | 0.0857934077296939 |
15 | 0.926620710240384 | 0.146758579519233 | 0.0733792897596165 |
16 | 0.895250023036863 | 0.209499953926273 | 0.104749976963137 |
17 | 0.868580095361735 | 0.262839809276529 | 0.131419904638265 |
18 | 0.824636575628659 | 0.350726848742681 | 0.175363424371341 |
19 | 0.84375591892616 | 0.312488162147679 | 0.15624408107384 |
20 | 0.833432055500505 | 0.33313588899899 | 0.166567944499495 |
21 | 0.823021882957438 | 0.353956234085124 | 0.176978117042562 |
22 | 0.874534236680143 | 0.250931526639715 | 0.125465763319857 |
23 | 0.857708630400889 | 0.284582739198221 | 0.142291369599111 |
24 | 0.960144934998067 | 0.0797101300038658 | 0.0398550650019329 |
25 | 0.955344132607475 | 0.0893117347850492 | 0.0446558673925246 |
26 | 0.945358138447532 | 0.109283723104935 | 0.0546418615524677 |
27 | 0.935207519178171 | 0.129584961643658 | 0.0647924808218288 |
28 | 0.954545170177509 | 0.0909096596449828 | 0.0454548298224914 |
29 | 0.964560424977746 | 0.070879150044509 | 0.0354395750222545 |
30 | 0.953954795901904 | 0.0920904081961922 | 0.0460452040980961 |
31 | 0.937867667543623 | 0.124264664912754 | 0.0621323324563772 |
32 | 0.973907060798179 | 0.0521858784036429 | 0.0260929392018214 |
33 | 0.965996380259008 | 0.0680072394819844 | 0.0340036197409922 |
34 | 0.956378479868292 | 0.0872430402634165 | 0.0436215201317082 |
35 | 0.955759675300307 | 0.0884806493993862 | 0.0442403246996931 |
36 | 0.948709295486546 | 0.102581409026909 | 0.0512907045134544 |
37 | 0.938850395372547 | 0.122299209254906 | 0.0611496046274528 |
38 | 0.971630124757235 | 0.0567397504855305 | 0.0283698752427652 |
39 | 0.999999999999694 | 6.12810038861702e-13 | 3.06405019430851e-13 |
40 | 0.999999999999944 | 1.12334536046859e-13 | 5.61672680234296e-14 |
41 | 0.999999999999871 | 2.59005396717536e-13 | 1.29502698358768e-13 |
42 | 0.999999999999846 | 3.08244571166849e-13 | 1.54122285583425e-13 |
43 | 0.999999999999828 | 3.44471981571082e-13 | 1.72235990785541e-13 |
44 | 0.999999999999772 | 4.5511005601904e-13 | 2.2755502800952e-13 |
45 | 0.999999999999887 | 2.26446405027554e-13 | 1.13223202513777e-13 |
46 | 0.999999999999881 | 2.38944809433327e-13 | 1.19472404716663e-13 |
47 | 0.999999999999904 | 1.92659566569082e-13 | 9.6329783284541e-14 |
48 | 0.999999999999778 | 4.44709029947939e-13 | 2.2235451497397e-13 |
49 | 0.999999999999684 | 6.32371810263495e-13 | 3.16185905131747e-13 |
50 | 0.999999999999681 | 6.38650223370183e-13 | 3.19325111685091e-13 |
51 | 0.999999999999659 | 6.81468607435504e-13 | 3.40734303717752e-13 |
52 | 0.999999999999225 | 1.54978357452768e-12 | 7.7489178726384e-13 |
53 | 0.999999999998237 | 3.52654115935765e-12 | 1.76327057967882e-12 |
54 | 0.999999999999038 | 1.92416239309116e-12 | 9.62081196545581e-13 |
55 | 0.999999999999737 | 5.26263656721002e-13 | 2.63131828360501e-13 |
56 | 0.999999999999365 | 1.26939922870724e-12 | 6.3469961435362e-13 |
57 | 0.999999999999046 | 1.90775861010983e-12 | 9.53879305054914e-13 |
58 | 0.999999999997819 | 4.36245893422181e-12 | 2.1812294671109e-12 |
59 | 0.999999999998012 | 3.97640253922004e-12 | 1.98820126961002e-12 |
60 | 0.999999999996153 | 7.69386222672675e-12 | 3.84693111336337e-12 |
61 | 0.999999999991789 | 1.64225267762037e-11 | 8.21126338810186e-12 |
62 | 0.999999999990238 | 1.95247074144904e-11 | 9.76235370724519e-12 |
63 | 0.999999999995418 | 9.16409533340717e-12 | 4.58204766670359e-12 |
64 | 0.999999999991236 | 1.75288269875744e-11 | 8.76441349378721e-12 |
65 | 0.999999999982006 | 3.59877012450372e-11 | 1.79938506225186e-11 |
66 | 0.999999999991313 | 1.73745480598727e-11 | 8.68727402993637e-12 |
67 | 0.999999999979941 | 4.01186301445115e-11 | 2.00593150722557e-11 |
68 | 0.999999999999406 | 1.18805061385823e-12 | 5.94025306929115e-13 |
69 | 0.999999999998854 | 2.29130779383018e-12 | 1.14565389691509e-12 |
70 | 0.999999999997309 | 5.38246664468581e-12 | 2.69123332234291e-12 |
71 | 0.999999999999995 | 9.49607818782027e-15 | 4.74803909391013e-15 |
72 | 0.999999999999996 | 7.55066111116636e-15 | 3.77533055558318e-15 |
73 | 0.999999999999998 | 4.06162694227334e-15 | 2.03081347113667e-15 |
74 | 0.999999999999999 | 2.33939958398967e-15 | 1.16969979199484e-15 |
75 | 0.999999999999997 | 6.33644230219858e-15 | 3.16822115109929e-15 |
76 | 0.999999999999991 | 1.74341747290549e-14 | 8.71708736452745e-15 |
77 | 0.999999999999978 | 4.39032322651172e-14 | 2.19516161325586e-14 |
78 | 0.999999999999946 | 1.07127629120709e-13 | 5.35638145603543e-14 |
79 | 0.999999999999856 | 2.87183297074303e-13 | 1.43591648537152e-13 |
80 | 0.999999999999649 | 7.01395554827377e-13 | 3.50697777413688e-13 |
81 | 0.999999999999567 | 8.65406871178464e-13 | 4.32703435589232e-13 |
82 | 0.999999999999487 | 1.02557663649325e-12 | 5.12788318246623e-13 |
83 | 0.999999999999052 | 1.89566284465675e-12 | 9.47831422328374e-13 |
84 | 0.999999999999134 | 1.73260167514486e-12 | 8.66300837572432e-13 |
85 | 0.999999999998085 | 3.8307786706843e-12 | 1.91538933534215e-12 |
86 | 0.999999999995146 | 9.70888481803041e-12 | 4.8544424090152e-12 |
87 | 0.999999999987696 | 2.46081178750903e-11 | 1.23040589375452e-11 |
88 | 0.999999999969937 | 6.01259637833978e-11 | 3.00629818916989e-11 |
89 | 0.999999999965707 | 6.85864658402124e-11 | 3.42932329201062e-11 |
90 | 0.999999999940398 | 1.19204976065e-10 | 5.96024880325e-11 |
91 | 0.999999999869367 | 2.61266551516106e-10 | 1.30633275758053e-10 |
92 | 0.999999999810169 | 3.79661492645525e-10 | 1.89830746322763e-10 |
93 | 0.999999999557617 | 8.84765511408297e-10 | 4.42382755704148e-10 |
94 | 0.999999998950655 | 2.09869060862027e-09 | 1.04934530431013e-09 |
95 | 0.999999998703403 | 2.59319488677953e-09 | 1.29659744338977e-09 |
96 | 0.99999999997898 | 4.20396229439e-11 | 2.101981147195e-11 |
97 | 0.999999999942818 | 1.14365000820944e-10 | 5.71825004104721e-11 |
98 | 0.999999999854621 | 2.90758540943593e-10 | 1.45379270471796e-10 |
99 | 0.999999999881011 | 2.37978291399285e-10 | 1.18989145699642e-10 |
100 | 0.999999999689568 | 6.20864718597577e-10 | 3.10432359298789e-10 |
101 | 0.99999999921845 | 1.56309933801382e-09 | 7.8154966900691e-10 |
102 | 0.999999998301508 | 3.39698446978592e-09 | 1.69849223489296e-09 |
103 | 0.999999997422699 | 5.15460242910994e-09 | 2.57730121455497e-09 |
104 | 0.999999993404372 | 1.31912566850295e-08 | 6.59562834251475e-09 |
105 | 0.999999987444976 | 2.51100484466273e-08 | 1.25550242233137e-08 |
106 | 0.999999970335044 | 5.93299128119551e-08 | 2.96649564059775e-08 |
107 | 0.999999940887604 | 1.18224792222058e-07 | 5.91123961110291e-08 |
108 | 0.999999869765606 | 2.60468788319895e-07 | 1.30234394159948e-07 |
109 | 0.99999973223008 | 5.35539839799915e-07 | 2.67769919899958e-07 |
110 | 0.999999481917397 | 1.03616520695595e-06 | 5.18082603477975e-07 |
111 | 0.999998851714014 | 2.29657197257522e-06 | 1.14828598628761e-06 |
112 | 0.999998718850881 | 2.56229823902053e-06 | 1.28114911951027e-06 |
113 | 0.999998020291295 | 3.95941740992521e-06 | 1.9797087049626e-06 |
114 | 0.999995514330029 | 8.97133994106381e-06 | 4.4856699705319e-06 |
115 | 0.999990949762834 | 1.81004743317034e-05 | 9.05023716585168e-06 |
116 | 0.999982396658739 | 3.52066825223522e-05 | 1.76033412611761e-05 |
117 | 0.999963325852547 | 7.33482949056261e-05 | 3.6674147452813e-05 |
118 | 0.999926206584076 | 0.000147586831848768 | 7.37934159243842e-05 |
119 | 0.999992324978145 | 1.53500437104386e-05 | 7.67502185521931e-06 |
120 | 0.999981616063788 | 3.67678724237007e-05 | 1.83839362118503e-05 |
121 | 0.999999999911438 | 1.77123861639059e-10 | 8.85619308195294e-11 |
122 | 0.999999999546675 | 9.06649422271252e-10 | 4.53324711135626e-10 |
123 | 0.999999999563918 | 8.72164236012617e-10 | 4.36082118006309e-10 |
124 | 0.999999997672404 | 4.65519274907878e-09 | 2.32759637453939e-09 |
125 | 0.999999988169836 | 2.36603271579509e-08 | 1.18301635789755e-08 |
126 | 0.999999947258717 | 1.0548256569933e-07 | 5.27412828496652e-08 |
127 | 0.99999990652787 | 1.86944259909657e-07 | 9.34721299548284e-08 |
128 | 0.999999527355952 | 9.45288095830572e-07 | 4.72644047915286e-07 |
129 | 0.999998251450919 | 3.49709816197069e-06 | 1.74854908098535e-06 |
130 | 0.999999098887084 | 1.80222583237223e-06 | 9.01112916186114e-07 |
131 | 0.999995621284362 | 8.75743127633575e-06 | 4.37871563816788e-06 |
132 | 0.999980391533259 | 3.92169334815279e-05 | 1.96084667407639e-05 |
133 | 0.999894704275768 | 0.000210591448464002 | 0.000105295724232001 |
134 | 0.999470583203445 | 0.00105883359311054 | 0.000529416796555272 |
135 | 0.998163724997077 | 0.00367255000584601 | 0.00183627500292301 |
136 | 0.999782135399902 | 0.000435729200195927 | 0.000217864600097963 |
137 | 0.997883932640954 | 0.00423213471809221 | 0.0021160673590461 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 99 | 0.755725190839695 | NOK |
5% type I error level | 99 | 0.755725190839695 | NOK |
10% type I error level | 109 | 0.83206106870229 | NOK |