Multiple Linear Regression - Estimated Regression Equation |
seconds[t] = -1582.55731804089 + 199.443529160436Bloggedcomputations[t] + 0.330684108580461characters[t] + 2.70392917974796revisions[t] + 1492.9494133801includedhyperlinks[t] -1382.21707220902includedblogs[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) | -1582.55731804089 | 1010.85173 | -1.5656 | 0.11974 | 0.05987 |
Bloggedcomputations | 199.443529160436 | 89.573719 | 2.2266 | 0.027596 | 0.013798 |
characters | 0.330684108580461 | 0.071722 | 4.6106 | 9e-06 | 5e-06 |
revisions | 2.70392917974796 | 0.376805 | 7.1759 | 0 | 0 |
includedhyperlinks | 1492.9494133801 | 514.104934 | 2.904 | 0.004292 | 0.002146 |
includedblogs | -1382.21707220902 | 524.52373 | -2.6352 | 0.009371 | 0.004685 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.91310284093667 |
R-squared | 0.833756798126617 |
Adjusted R-squared | 0.827733493710915 |
F-TEST (value) | 138.421826390358 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 138 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 6707.63719313796 |
Sum Squared Residuals | 6208950746.63794 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10823 | 14009.482930575 | -3186.48293057502 |
2 | 44480 | 28307.622324978 | 16172.377675022 |
3 | 1929 | 518.475463857121 | 1410.52453614288 |
4 | 30032 | 34889.2532501116 | -4857.2532501116 |
5 | 27669 | 41713.4547983528 | -14044.4547983528 |
6 | 114967 | 97706.0189190187 | 17260.9810809813 |
7 | 29951 | 21204.8642810856 | 8746.13571891437 |
8 | 38824 | 25888.9076316975 | 12935.0923683025 |
9 | 26517 | 33898.0172106101 | -7381.01721061005 |
10 | 63570 | 49434.0575928416 | 14135.9424071584 |
11 | 27131 | 32176.698044527 | -5045.69804452703 |
12 | 41061 | 47838.990427338 | -6777.99042733798 |
13 | 18810 | 19009.6438142836 | -199.643814283565 |
14 | 27582 | 28000.5214089162 | -418.521408916236 |
15 | 37026 | 21285.8947045826 | 15740.1052954174 |
16 | 24252 | 20472.8963175824 | 3779.10368241755 |
17 | 32579 | 55982.8463808495 | -23403.8463808495 |
18 | 0 | 411.856997118967 | -411.856997118967 |
19 | 29666 | 43343.2394374417 | -13677.2394374417 |
20 | 7533 | 20115.9071130877 | -12582.9071130877 |
21 | 11892 | 8716.66327829822 | 3175.33672170178 |
22 | 51557 | 48064.0984415924 | 3492.90155840763 |
23 | 5737 | 4984.2243278759 | 752.775672124101 |
24 | 11203 | 13957.0589091836 | -2754.05890918358 |
25 | 28714 | 22815.3940552864 | 5898.60594471359 |
26 | 24268 | 18734.6125320537 | 5533.3874679463 |
27 | 30749 | 33465.9961871289 | -2716.99618712888 |
28 | 46643 | 37565.0187302143 | 9077.98126978565 |
29 | 64530 | 62707.6277730598 | 1822.3722269402 |
30 | 35346 | 24549.4757749036 | 10796.5242250964 |
31 | 5766 | 14998.6228517773 | -9232.6228517773 |
32 | 29217 | 23609.8118607181 | 5607.1881392819 |
33 | 15912 | 24412.3990327393 | -8500.39903273932 |
34 | 3728 | 7465.04635536372 | -3737.04635536372 |
35 | 37494 | 27246.4777843423 | 10247.5222156577 |
36 | 0 | -1582.5573180409 | 1582.5573180409 |
37 | 13214 | 25496.5217641772 | -12282.5217641772 |
38 | 19576 | 27112.2793438725 | -7536.27934387246 |
39 | 13632 | 13623.3604063958 | 8.63959360416546 |
40 | 67378 | 63095.1182865298 | 4282.88171347021 |
41 | 29387 | 32129.5689373191 | -2742.5689373191 |
42 | 15936 | 17765.5494952782 | -1829.5494952782 |
43 | 18156 | 21147.193339875 | -2991.19333987502 |
44 | 23750 | 23401.0361771174 | 348.963822882576 |
45 | 15559 | 30085.0475574983 | -14526.0475574983 |
46 | 21713 | 18354.1534449818 | 3358.84655501818 |
47 | 12023 | 9170.25845874427 | 2852.74154125573 |
48 | 23588 | 27370.6235319143 | -3782.62353191426 |
49 | 28661 | 25923.4414022808 | 2737.55859771918 |
50 | 16874 | 20943.138806841 | -4069.13880684103 |
51 | 11804 | 8758.94400899314 | 3045.05599100686 |
52 | 12949 | 16476.6593014796 | -3527.65930147958 |
53 | 38340 | 31094.2654727447 | 7245.73452725532 |
54 | 36573 | 31292.8888740147 | 5280.11112598528 |
55 | 40068 | 26632.181592888 | 13435.818407112 |
56 | 25561 | 17464.2446978953 | 8096.75530210465 |
57 | 31287 | 25067.1043912407 | 6219.89560875931 |
58 | 8383 | 12571.1257917681 | -4188.12579176808 |
59 | 29178 | 25929.4540214199 | 3248.54597858009 |
60 | 1237 | 6434.11412405345 | -5197.11412405345 |
61 | 10241 | 6035.2402870108 | 4205.7597129892 |
62 | 8219 | 7525.63158442022 | 693.368415579776 |
63 | 9348 | 11109.9856949777 | -1761.98569497765 |
64 | 25242 | 20750.3787798284 | 4491.62122017164 |
65 | 24267 | 11872.1386378768 | 12394.8613621232 |
66 | 25902 | 26238.3142015626 | -336.31420156259 |
67 | 51849 | 42832.6359129261 | 9016.36408707387 |
68 | 29065 | 28042.629371656 | 1022.37062834397 |
69 | 22417 | 22265.6775260634 | 151.322473936567 |
70 | 1714 | 320.60092948864 | 1393.39907051136 |
71 | 29085 | 24319.4985014576 | 4765.50149854236 |
72 | 22118 | 16958.1744320284 | 5159.82556797163 |
73 | 14803 | 29783.1502987882 | -14980.1502987882 |
74 | 13243 | 22345.1120628056 | -9102.11206280564 |
75 | 13985 | 14482.8028578761 | -497.802857876138 |
76 | 657 | -375.739993947961 | 1032.73999394796 |
77 | 26171 | 32263.7419576134 | -6092.74195761338 |
78 | 34867 | 30209.1353503616 | 4657.86464963844 |
79 | 12297 | 14968.6324717727 | -2671.63247177273 |
80 | 17487 | 32619.1445529383 | -15132.1445529383 |
81 | 13461 | 27881.9073750282 | -14420.9073750282 |
82 | 15192 | 12701.7283217043 | 2490.27167829571 |
83 | 16584 | 11211.9513416531 | 5372.04865834688 |
84 | 22892 | 23793.1667654552 | -901.166765455176 |
85 | 7081 | 11690.6863120225 | -4609.68631202245 |
86 | 21623 | 17762.934763669 | 3860.06523633098 |
87 | 41992 | 41912.3688379403 | 79.6311620597291 |
88 | 11301 | 12841.2426428619 | -1540.24264286188 |
89 | 15230 | 21498.8840848549 | -6268.88408485488 |
90 | 14667 | 16213.3780149054 | -1546.37801490541 |
91 | 23795 | 22182.216741479 | 1612.78325852103 |
92 | 28055 | 28923.3713737505 | -868.371373750533 |
93 | 29162 | 14542.3089439876 | 14619.6910560124 |
94 | 14962 | 14496.9192783101 | 465.080721689907 |
95 | 8749 | 15891.5518572276 | -7142.55185722759 |
96 | 37310 | 27130.7580596382 | 10179.2419403618 |
97 | 31551 | 32122.474653256 | -571.474653255993 |
98 | 9604 | 5973.76427564269 | 3630.23572435731 |
99 | 13937 | 16103.7801316851 | -2166.78013168514 |
100 | 16850 | 14127.0379327942 | 2722.96206720576 |
101 | 3439 | 3271.12020065135 | 167.879799348647 |
102 | 16638 | 18159.7520993827 | -1521.75209938272 |
103 | 12847 | 22314.5900015805 | -9467.59000158045 |
104 | 13462 | 10803.5084732142 | 2658.49152678579 |
105 | 8086 | 8722.5338790127 | -636.533879012704 |
106 | 2255 | 2868.8786443858 | -613.878644385797 |
107 | 25918 | 28824.2554534625 | -2906.25545346246 |
108 | 3255 | 3905.64448205867 | -650.644482058667 |
109 | 0 | -1582.5573180409 | 1582.5573180409 |
110 | 16138 | 23920.9726874148 | -7782.97268741477 |
111 | 5941 | 9824.48394255888 | -3883.48394255888 |
112 | 27123 | 27588.8613606665 | -465.86136066647 |
113 | 19148 | 18721.1899213323 | 426.810078667708 |
114 | 15214 | 16160.5018865151 | -946.501886515068 |
115 | 0 | -1582.5573180409 | 1582.5573180409 |
116 | 0 | -1582.5573180409 | 1582.5573180409 |
117 | 34998 | 30920.4551365044 | 4077.54486349559 |
118 | 18998 | 23481.9359888621 | -4483.93598886212 |
119 | 10651 | 10547.7828581794 | 103.217141820599 |
120 | 13465 | 18085.4950422731 | -4620.49504227312 |
121 | 13 | 854.727949934492 | -841.727949934492 |
122 | 32505 | 26794.8180134443 | 5710.18198655571 |
123 | 15769 | 11713.1977308619 | 4055.80226913812 |
124 | 5936 | 8823.83474918026 | -2887.83474918026 |
125 | 4174 | 4436.86385469696 | -262.863854696957 |
126 | 9876 | 9796.44326410954 | 79.5567358904566 |
127 | 17678 | 21863.4490627442 | -4185.44906274421 |
128 | 14633 | 13150.8095928115 | 1482.19040718852 |
129 | 13380 | 20223.1978024144 | -6843.19780241442 |
130 | 0 | -1383.11378888046 | 1383.11378888046 |
131 | 0 | -1582.5573180409 | 1582.5573180409 |
132 | 5652 | 9951.11284323355 | -4299.11284323355 |
133 | 0 | -1582.5573180409 | 1582.5573180409 |
134 | 3636 | 7813.83379295343 | -4177.83379295343 |
135 | 0 | -585.339672238714 | 585.339672238714 |
136 | 1695 | 571.820384176486 | 1123.17961582351 |
137 | 0 | -1582.5573180409 | 1582.5573180409 |
138 | 8778 | 12094.1225145931 | -3316.12251459308 |
139 | 4148 | 6700.58388119592 | -2552.58388119592 |
140 | 0 | -1582.5573180409 | 1582.5573180409 |
141 | 0 | -1582.5573180409 | 1582.5573180409 |
142 | 10404 | 12440.0301450822 | -2036.0301450822 |
143 | 20794 | 19842.311033791 | 951.688966208953 |
144 | 11200 | 7416.58335212232 | 3783.41664787768 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.831476500167816 | 0.337046999664369 | 0.168523499832184 |
10 | 0.906860141120025 | 0.186279717759951 | 0.0931398588799753 |
11 | 0.842215069868778 | 0.315569860262443 | 0.157784930131222 |
12 | 0.846749214313137 | 0.306501571373725 | 0.153250785686863 |
13 | 0.775082728574352 | 0.449834542851296 | 0.224917271425648 |
14 | 0.88307538300225 | 0.233849233995499 | 0.11692461699775 |
15 | 0.963293319833731 | 0.073413360332538 | 0.036706680166269 |
16 | 0.953978432046039 | 0.0920431359079218 | 0.0460215679539609 |
17 | 0.979790734625124 | 0.0404185307497518 | 0.0202092653748759 |
18 | 0.985013135006246 | 0.029973729987509 | 0.0149868649937545 |
19 | 0.988034721231023 | 0.0239305575379546 | 0.0119652787689773 |
20 | 0.999648737455914 | 0.000702525088171897 | 0.000351262544085949 |
21 | 0.999388172611097 | 0.00122365477780517 | 0.000611827388902586 |
22 | 0.99895013748306 | 0.00209972503387768 | 0.00104986251693884 |
23 | 0.998226419375487 | 0.00354716124902544 | 0.00177358062451272 |
24 | 0.99836997356466 | 0.00326005287067967 | 0.00163002643533983 |
25 | 0.997525587810256 | 0.00494882437948804 | 0.00247441218974402 |
26 | 0.996417493737304 | 0.00716501252539124 | 0.00358250626269562 |
27 | 0.994987810316514 | 0.0100243793669711 | 0.00501218968348557 |
28 | 0.996198800654234 | 0.00760239869153282 | 0.00380119934576641 |
29 | 0.997015872373456 | 0.00596825525308876 | 0.00298412762654438 |
30 | 0.999322388840553 | 0.00135522231889315 | 0.000677611159446576 |
31 | 0.999536564483314 | 0.000926871033372018 | 0.000463435516686009 |
32 | 0.999672455487963 | 0.000655089024074535 | 0.000327544512037267 |
33 | 0.999860220124261 | 0.000279559751477656 | 0.000139779875738828 |
34 | 0.99977660089322 | 0.000446798213559976 | 0.000223399106779988 |
35 | 0.999798900855102 | 0.000402198289796096 | 0.000201099144898048 |
36 | 0.999665534188023 | 0.00066893162395387 | 0.000334465811976935 |
37 | 0.999986900911042 | 2.61981779158304e-05 | 1.30990889579152e-05 |
38 | 0.999991391608376 | 1.7216783248863e-05 | 8.60839162443151e-06 |
39 | 0.999985949336322 | 2.81013273559752e-05 | 1.40506636779876e-05 |
40 | 0.999986613982952 | 2.67720340962687e-05 | 1.33860170481343e-05 |
41 | 0.999996826501053 | 6.34699789381534e-06 | 3.17349894690767e-06 |
42 | 0.999994403305812 | 1.11933883757125e-05 | 5.59669418785627e-06 |
43 | 0.999992133911894 | 1.57321762128403e-05 | 7.86608810642014e-06 |
44 | 0.999987506878296 | 2.49862434084235e-05 | 1.24931217042118e-05 |
45 | 0.999998633602029 | 2.73279594216445e-06 | 1.36639797108222e-06 |
46 | 0.999998348096777 | 3.30380644553096e-06 | 1.65190322276548e-06 |
47 | 0.999997215603425 | 5.568793150763e-06 | 2.7843965753815e-06 |
48 | 0.999995728836669 | 8.5423266628405e-06 | 4.27116333142025e-06 |
49 | 0.999993529303473 | 1.29413930548236e-05 | 6.47069652741182e-06 |
50 | 0.9999908216373 | 1.835672540038e-05 | 9.17836270019e-06 |
51 | 0.99998558652301 | 2.88269539808554e-05 | 1.44134769904277e-05 |
52 | 0.999979346562786 | 4.13068744272955e-05 | 2.06534372136477e-05 |
53 | 0.999986323651655 | 2.73526966898108e-05 | 1.36763483449054e-05 |
54 | 0.999985072282812 | 2.98554343761649e-05 | 1.49277171880825e-05 |
55 | 0.999997462990191 | 5.07401961721689e-06 | 2.53700980860844e-06 |
56 | 0.999998060142564 | 3.87971487119916e-06 | 1.93985743559958e-06 |
57 | 0.999998101278837 | 3.79744232532797e-06 | 1.89872116266398e-06 |
58 | 0.99999713916846 | 5.72166307770002e-06 | 2.86083153885001e-06 |
59 | 0.999995676166748 | 8.64766650414563e-06 | 4.32383325207281e-06 |
60 | 0.999994541104225 | 1.09177915494457e-05 | 5.45889577472284e-06 |
61 | 0.99999236606836 | 1.52678632796802e-05 | 7.63393163984009e-06 |
62 | 0.999987147322205 | 2.57053555893568e-05 | 1.28526777946784e-05 |
63 | 0.999978638130338 | 4.27237393236121e-05 | 2.13618696618061e-05 |
64 | 0.99999316369513 | 1.36726097417194e-05 | 6.83630487085968e-06 |
65 | 0.99999884009481 | 2.31981037789108e-06 | 1.15990518894554e-06 |
66 | 0.999998087134187 | 3.82573162624337e-06 | 1.91286581312168e-06 |
67 | 0.999999532895642 | 9.3420871516395e-07 | 4.67104357581975e-07 |
68 | 0.999999119530467 | 1.7609390651889e-06 | 8.80469532594449e-07 |
69 | 0.999998368967603 | 3.26206479437817e-06 | 1.63103239718908e-06 |
70 | 0.999997039289733 | 5.92142053446619e-06 | 2.96071026723309e-06 |
71 | 0.999997536761837 | 4.9264763266956e-06 | 2.4632381633478e-06 |
72 | 0.999997468800817 | 5.06239836513543e-06 | 2.53119918256771e-06 |
73 | 0.999999061230148 | 1.87753970439918e-06 | 9.38769852199589e-07 |
74 | 0.999999789744262 | 4.20511475097722e-07 | 2.10255737548861e-07 |
75 | 0.999999602230586 | 7.95538827845303e-07 | 3.97769413922652e-07 |
76 | 0.999999237633046 | 1.52473390878834e-06 | 7.62366954394169e-07 |
77 | 0.999998978664243 | 2.04267151437665e-06 | 1.02133575718833e-06 |
78 | 0.999999437007123 | 1.1259857539976e-06 | 5.62992876998801e-07 |
79 | 0.999999022423564 | 1.9551528723749e-06 | 9.7757643618745e-07 |
80 | 0.999999796290279 | 4.07419442933113e-07 | 2.03709721466557e-07 |
81 | 0.999999985096151 | 2.98076974592669e-08 | 1.49038487296334e-08 |
82 | 0.999999971909856 | 5.61802885752392e-08 | 2.80901442876196e-08 |
83 | 0.999999967348992 | 6.53020151892335e-08 | 3.26510075946168e-08 |
84 | 0.999999932315557 | 1.3536888695896e-07 | 6.76844434794798e-08 |
85 | 0.99999992925074 | 1.41498521440551e-07 | 7.07492607202754e-08 |
86 | 0.999999937816667 | 1.24366665939134e-07 | 6.21833329695668e-08 |
87 | 0.999999873900716 | 2.52198567869554e-07 | 1.26099283934777e-07 |
88 | 0.99999975000723 | 4.99985541132627e-07 | 2.49992770566314e-07 |
89 | 0.999999818020948 | 3.63958105048052e-07 | 1.81979052524026e-07 |
90 | 0.99999968173824 | 6.36523521688469e-07 | 3.18261760844234e-07 |
91 | 0.999999394985937 | 1.21002812685435e-06 | 6.05014063427177e-07 |
92 | 0.999998908579527 | 2.18284094524474e-06 | 1.09142047262237e-06 |
93 | 0.999999999502897 | 9.9420516246193e-10 | 4.97102581230965e-10 |
94 | 0.999999998742583 | 2.51483357852965e-09 | 1.25741678926483e-09 |
95 | 0.999999999285702 | 1.42859502049065e-09 | 7.14297510245327e-10 |
96 | 0.999999999983562 | 3.28763812772753e-11 | 1.64381906386377e-11 |
97 | 0.999999999976247 | 4.7505936584348e-11 | 2.3752968292174e-11 |
98 | 0.99999999995301 | 9.39818772538204e-11 | 4.69909386269102e-11 |
99 | 0.999999999892326 | 2.15347341205619e-10 | 1.07673670602809e-10 |
100 | 0.99999999992156 | 1.5688101094405e-10 | 7.84405054720248e-11 |
101 | 0.999999999780923 | 4.38154885711473e-10 | 2.19077442855736e-10 |
102 | 0.999999999394222 | 1.21155617415358e-09 | 6.05778087076791e-10 |
103 | 0.999999999595409 | 8.09182857287582e-10 | 4.04591428643791e-10 |
104 | 0.999999999194529 | 1.61094175914813e-09 | 8.05470879574067e-10 |
105 | 0.999999997750623 | 4.49875397829459e-09 | 2.2493769891473e-09 |
106 | 0.9999999938803 | 1.22394017578669e-08 | 6.11970087893347e-09 |
107 | 0.999999983791058 | 3.2417884261246e-08 | 1.6208942130623e-08 |
108 | 0.99999995895695 | 8.20860985831047e-08 | 4.10430492915523e-08 |
109 | 0.999999892352764 | 2.15294472792913e-07 | 1.07647236396456e-07 |
110 | 0.999999989562333 | 2.08753339486057e-08 | 1.04376669743029e-08 |
111 | 0.999999973921166 | 5.21576688761394e-08 | 2.60788344380697e-08 |
112 | 0.999999944981078 | 1.10037844353502e-07 | 5.5018922176751e-08 |
113 | 0.999999900330102 | 1.99339796171166e-07 | 9.9669898085583e-08 |
114 | 0.999999757917961 | 4.84164077093749e-07 | 2.42082038546875e-07 |
115 | 0.999999328904936 | 1.34219012776949e-06 | 6.71095063884745e-07 |
116 | 0.999998186239436 | 3.62752112736943e-06 | 1.81376056368472e-06 |
117 | 0.999998946986914 | 2.10602617268486e-06 | 1.05301308634243e-06 |
118 | 0.999997266212301 | 5.46757539699701e-06 | 2.73378769849851e-06 |
119 | 0.99999517461416 | 9.65077167955694e-06 | 4.82538583977847e-06 |
120 | 0.999989259034491 | 2.1481931017509e-05 | 1.07409655087545e-05 |
121 | 0.999971905419309 | 5.61891613824213e-05 | 2.80945806912107e-05 |
122 | 0.999999721894294 | 5.56211413028477e-07 | 2.78105706514238e-07 |
123 | 0.999999960389076 | 7.92218488099757e-08 | 3.96109244049878e-08 |
124 | 0.99999982077724 | 3.58445521726508e-07 | 1.79222760863254e-07 |
125 | 0.99999942694585 | 1.14610829894703e-06 | 5.73054149473517e-07 |
126 | 0.99999751377657 | 4.97244686079203e-06 | 2.48622343039601e-06 |
127 | 0.99999159149978 | 1.6817000439288e-05 | 8.40850021964402e-06 |
128 | 0.999973099961713 | 5.38000765740378e-05 | 2.69000382870189e-05 |
129 | 0.999894821741691 | 0.000210356516617735 | 0.000105178258308868 |
130 | 0.999597216491124 | 0.000805567017752953 | 0.000402783508876477 |
131 | 0.998540119788475 | 0.00291976042304993 | 0.00145988021152497 |
132 | 0.995389079004963 | 0.00922184199007457 | 0.00461092099503729 |
133 | 0.985218951529735 | 0.0295620969405299 | 0.0147810484702649 |
134 | 0.965633773339468 | 0.0687324533210639 | 0.0343662266605319 |
135 | 0.904633563189359 | 0.190732873621283 | 0.0953664368106414 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 112 | 0.881889763779528 | NOK |
5% type I error level | 117 | 0.921259842519685 | NOK |
10% type I error level | 120 | 0.94488188976378 | NOK |