Multiple Linear Regression - Estimated Regression Equation |
PlaatsHoF[t] = + 111.289470306828 -0.0486478183017716Pageviews[t] + 0.000218804779702596TimeRFC[t] + 0.108209569313708BloggedComp[t] -0.35904311766664PeerReviews[t] + 0.000143242716991712CharComp[t] -0.000685656508686347SecComp[t] + 0.105313709370402HypComp[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) | 111.289470306828 | 7.150728 | 15.5634 | 0 | 0 |
Pageviews | -0.0486478183017716 | 0.016268 | -2.9904 | 0.003308 | 0.001654 |
TimeRFC | 0.000218804779702596 | 0.000258 | 0.8479 | 0.397985 | 0.198993 |
BloggedComp | 0.108209569313708 | 0.502645 | 0.2153 | 0.829871 | 0.414936 |
PeerReviews | -0.35904311766664 | 0.240831 | -1.4909 | 0.138316 | 0.069158 |
CharComp | 0.000143242716991712 | 0.00042 | 0.3411 | 0.733558 | 0.366779 |
SecComp | -0.000685656508686347 | 0.000478 | -1.4343 | 0.15379 | 0.076895 |
HypComp | 0.105313709370402 | 0.452274 | 0.2329 | 0.816225 | 0.408113 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.550852069179421 |
R-squared | 0.30343800211925 |
Adjusted R-squared | 0.267585546345976 |
F-TEST (value) | 8.46352071495884 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 136 |
p-value | 1.41265560360537e-08 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 35.6987555715602 |
Sum Squared Residuals | 173318.556312688 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 74.1526432581426 | -73.1526432581426 |
2 | 2 | 67.2274902583935 | -65.2274902583935 |
3 | 3 | 102.692322182868 | -99.6923221828679 |
4 | 4 | 35.8920294836925 | -31.8920294836925 |
5 | 5 | 23.7639663083478 | -18.7639663083478 |
6 | 6 | -62.5780132871794 | 68.5780132871794 |
7 | 7 | 61.8360844116757 | -54.8360844116757 |
8 | 8 | 66.236337502596 | -58.236337502596 |
9 | 9 | 49.9617773081344 | -40.9617773081344 |
10 | 10 | 12.9669629103981 | -2.96696291039814 |
11 | 11 | 68.5155520961963 | -57.5155520961963 |
12 | 12 | 43.9902482819945 | -31.9902482819945 |
13 | 13 | 62.1007007702107 | -49.1007007702107 |
14 | 14 | 36.5345121129403 | -22.5345121129403 |
15 | 15 | 65.008319077075 | -50.008319077075 |
16 | 16 | 61.6233342342723 | -45.6233342342723 |
17 | 17 | 65.6898129345724 | -48.6898129345724 |
18 | 18 | 92.6670919942308 | -74.6670919942308 |
19 | 19 | 20.6569329895687 | -1.65693298956872 |
20 | 20 | 91.3557343314163 | -71.3557343314163 |
21 | 21 | 70.0079367146927 | -49.0079367146927 |
22 | 22 | 42.6188751642114 | -20.6188751642114 |
23 | 23 | 76.8925473274574 | -53.8925473274574 |
24 | 24 | 59.9015784244122 | -35.9015784244122 |
25 | 25 | 54.8645271184574 | -29.8645271184574 |
26 | 26 | 76.5515004309394 | -50.5515004309394 |
27 | 27 | 47.8258093612383 | -20.8258093612383 |
28 | 28 | 63.2488867472947 | -35.2488867472947 |
29 | 29 | 41.4889016880653 | -12.4889016880653 |
30 | 30 | 46.3629740799762 | -16.3629740799762 |
31 | 31 | 68.540370312982 | -37.540370312982 |
32 | 32 | 64.453794467112 | -32.453794467112 |
33 | 33 | 66.4878034666148 | -33.4878034666148 |
34 | 34 | 79.7739196926072 | -45.7739196926072 |
35 | 35 | 51.0009336965754 | -16.0009336965754 |
36 | 36 | 111.289470306828 | -75.2894703068283 |
37 | 37 | 79.6703314988664 | -42.6703314988664 |
38 | 38 | 55.3215501934907 | -17.3215501934907 |
39 | 39 | 47.5191593535034 | -8.51915935350343 |
40 | 40 | 27.4265505304685 | 12.5734494695315 |
41 | 41 | 66.6334356050027 | -25.6334356050027 |
42 | 42 | 62.848304143791 | -20.848304143791 |
43 | 43 | 84.9826168623684 | -41.9826168623684 |
44 | 44 | 59.718061959306 | -15.718061959306 |
45 | 45 | 80.315903386271 | -35.3159033862709 |
46 | 46 | 76.7987619472546 | -30.7987619472546 |
47 | 47 | 88.9879993833803 | -41.9879993833803 |
48 | 48 | 67.7986657347854 | -19.7986657347854 |
49 | 49 | 63.3971216543754 | -14.3971216543754 |
50 | 50 | 57.0274311625329 | -7.02743116253286 |
51 | 51 | 78.0600055462835 | -27.0600055462835 |
52 | 52 | 75.8933304466698 | -23.8933304466698 |
53 | 53 | 60.1192532211388 | -7.1192532211388 |
54 | 54 | 63.5444712237384 | -9.54447122373839 |
55 | 55 | 52.2647879919705 | 2.7352120080295 |
56 | 56 | 69.5781685897886 | -13.5781685897886 |
57 | 57 | 68.4365918870364 | -11.4365918870364 |
58 | 58 | 84.4840013226323 | -26.4840013226323 |
59 | 59 | 65.1865437958783 | -6.18654379587832 |
60 | 60 | 79.046662219538 | -19.046662219538 |
61 | 61 | 70.3955708090578 | -9.39557080905784 |
62 | 62 | 73.7815061485915 | -11.7815061485915 |
63 | 63 | 85.351993918603 | -22.3519939186031 |
64 | 64 | 72.9211614718002 | -8.92116147180016 |
65 | 65 | 80.9389763957963 | -15.9389763957963 |
66 | 66 | 60.6022082676118 | 5.39779173238821 |
67 | 67 | 36.0062439547827 | 30.9937560452173 |
68 | 68 | 30.8732575988748 | 37.1267424011252 |
69 | 69 | 73.0149463468614 | -4.01494634686136 |
70 | 70 | 103.368710463261 | -33.3687104632608 |
71 | 71 | 41.1189327583647 | 29.8810672416353 |
72 | 72 | 83.143032581232 | -11.1430325812321 |
73 | 73 | 81.336188450644 | -8.336188450644 |
74 | 74 | 67.1893764726123 | 6.81062352738767 |
75 | 75 | 65.0727326430095 | 9.92726735699054 |
76 | 76 | 79.5719032247089 | -3.57190322470886 |
77 | 77 | 69.8369922621405 | 7.1630077378595 |
78 | 78 | 58.0559865341681 | 19.9440134658319 |
79 | 79 | 80.4811502268692 | -1.48115022686918 |
80 | 80 | 81.6809654394087 | -1.68096543940873 |
81 | 81 | 84.4137458697284 | -3.41374586972836 |
82 | 82 | 77.770233143441 | 4.22976685655899 |
83 | 83 | 71.3755373473295 | 11.6244626526705 |
84 | 84 | 66.7583544347894 | 17.2416455652106 |
85 | 85 | 83.215696111817 | 1.78430388818295 |
86 | 86 | 59.8058009397173 | 26.1941990602827 |
87 | 87 | 35.836036908111 | 51.163963091889 |
88 | 88 | 78.0515390968208 | 9.94846090317918 |
89 | 89 | 86.1257743216785 | 2.87422567832151 |
90 | 90 | 73.593989749623 | 16.406010250377 |
91 | 91 | 67.3477137667203 | 23.6522862332797 |
92 | 92 | 52.4527644051993 | 39.5472355948007 |
93 | 93 | 73.0801541204657 | 19.9198458795343 |
94 | 94 | 83.0535168229574 | 10.9464831770426 |
95 | 95 | 90.2435083140019 | 4.7564916859981 |
96 | 96 | 39.689436580567 | 56.310563419433 |
97 | 97 | 64.790889282703 | 32.209110717297 |
98 | 98 | 100.85922369649 | -2.85922369649014 |
99 | 99 | 64.1990540949693 | 34.8009459050307 |
100 | 100 | 70.7159347583064 | 29.2840652416936 |
101 | 101 | 101.51685099082 | -0.516850990819533 |
102 | 102 | 85.0233214056892 | 16.9766785943108 |
103 | 103 | 80.7997108568698 | 22.2002891431302 |
104 | 104 | 85.0279815224009 | 18.9720184775991 |
105 | 105 | 89.4839549320995 | 15.5160450679005 |
106 | 106 | 77.3621092650587 | 28.6378907349413 |
107 | 107 | 74.3634096675339 | 32.6365903324661 |
108 | 108 | 100.26392277756 | 7.73607722243969 |
109 | 109 | 111.289470306828 | -2.28947030682833 |
110 | 110 | 79.2836192965164 | 30.7163807034836 |
111 | 111 | 86.190497528208 | 24.809502471792 |
112 | 112 | 72.6600270935682 | 39.3399729064318 |
113 | 113 | 78.1293770551529 | 34.8706229448471 |
114 | 114 | 94.1894104256168 | 19.8105895743832 |
115 | 115 | 110.109958227692 | 4.89004177230846 |
116 | 116 | 111.289470306828 | 4.71052969317167 |
117 | 117 | 72.8850488396667 | 44.1149511603333 |
118 | 118 | 70.3009760617634 | 47.6990239382366 |
119 | 119 | 69.4461286076487 | 49.5538713923513 |
120 | 120 | 83.872302436107 | 36.127697563893 |
121 | 121 | 83.1148789578471 | 37.8851210421529 |
122 | 122 | 71.0678694874166 | 50.9321305125834 |
123 | 123 | 89.6190144241225 | 33.3809855758775 |
124 | 124 | 76.1489086709433 | 47.8510913290567 |
125 | 125 | 84.443540334377 | 40.556459665623 |
126 | 126 | 99.1438378217122 | 26.8561621782878 |
127 | 127 | 79.23518774771 | 47.76481225229 |
128 | 128 | 81.950498883812 | 46.0495011161881 |
129 | 129 | 74.9160802669839 | 54.0839197330161 |
130 | 130 | 98.6525146309272 | 31.3474853690728 |
131 | 131 | 109.066468897478 | 21.9335311025217 |
132 | 132 | 91.25740989946 | 40.74259010054 |
133 | 133 | 109.354486759836 | 23.6455132401639 |
134 | 134 | 90.8467919759445 | 43.1532080240555 |
135 | 135 | 110.90715264724 | 24.0928473527597 |
136 | 136 | 96.817222118552 | 39.1827778814481 |
137 | 137 | 111.289470306828 | 25.7105296931717 |
138 | 138 | 85.7547674859389 | 52.2452325140612 |
139 | 139 | 90.7062319488219 | 48.2937680511781 |
140 | 140 | 108.909293908444 | 31.090706091556 |
141 | 141 | 109.239620636493 | 31.760379363507 |
142 | 142 | 93.6294329089135 | 48.3705670910865 |
143 | 143 | 86.209386288561 | 56.790613711439 |
144 | 144 | 79.4482678350906 | 64.5517321649094 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.00223422933728388 | 0.00446845867456777 | 0.997765770662716 |
12 | 0.000219611100855067 | 0.000439222201710134 | 0.999780388899145 |
13 | 0.000291131685283952 | 0.000582263370567905 | 0.999708868314716 |
14 | 4.10818633613399e-05 | 8.21637267226798e-05 | 0.999958918136639 |
15 | 2.08441506650273e-05 | 4.16883013300546e-05 | 0.999979155849335 |
16 | 3.82063530819471e-06 | 7.64127061638943e-06 | 0.999996179364692 |
17 | 6.07312542381477e-07 | 1.21462508476295e-06 | 0.999999392687458 |
18 | 2.17507677126454e-07 | 4.35015354252908e-07 | 0.999999782492323 |
19 | 3.18372707795643e-08 | 6.36745415591286e-08 | 0.999999968162729 |
20 | 7.36495777972794e-09 | 1.47299155594559e-08 | 0.999999992635042 |
21 | 1.65153501421082e-09 | 3.30307002842164e-09 | 0.999999998348465 |
22 | 2.60845752376821e-09 | 5.21691504753641e-09 | 0.999999997391542 |
23 | 8.3451220388292e-10 | 1.66902440776584e-09 | 0.999999999165488 |
24 | 4.63368836333475e-09 | 9.2673767266695e-09 | 0.999999995366312 |
25 | 3.84629111608542e-08 | 7.69258223217085e-08 | 0.999999961537089 |
26 | 2.85289248641133e-08 | 5.70578497282266e-08 | 0.999999971471075 |
27 | 1.21863677116986e-08 | 2.43727354233972e-08 | 0.999999987813632 |
28 | 1.00884000737771e-08 | 2.01768001475542e-08 | 0.9999999899116 |
29 | 3.42441948055646e-09 | 6.84883896111291e-09 | 0.99999999657558 |
30 | 2.13301534456684e-08 | 4.26603068913368e-08 | 0.999999978669847 |
31 | 1.08122226767131e-08 | 2.16244453534263e-08 | 0.999999989187777 |
32 | 6.41639559224469e-08 | 1.28327911844894e-07 | 0.999999935836044 |
33 | 1.7959255490078e-07 | 3.5918510980156e-07 | 0.999999820407445 |
34 | 1.43326044127729e-07 | 2.86652088255458e-07 | 0.999999856673956 |
35 | 2.64027998208148e-07 | 5.28055996416296e-07 | 0.999999735972002 |
36 | 8.78684527904906e-07 | 1.75736905580981e-06 | 0.999999121315472 |
37 | 1.03296750538479e-06 | 2.06593501076958e-06 | 0.999998967032495 |
38 | 2.247447933637e-06 | 4.49489586727401e-06 | 0.999997752552066 |
39 | 2.4763178496178e-06 | 4.95263569923559e-06 | 0.99999752368215 |
40 | 2.45301047306088e-06 | 4.90602094612175e-06 | 0.999997546989527 |
41 | 2.58251205908944e-06 | 5.16502411817887e-06 | 0.99999741748794 |
42 | 2.46389006600359e-06 | 4.92778013200717e-06 | 0.999997536109934 |
43 | 2.6206888068709e-06 | 5.24137761374181e-06 | 0.999997379311193 |
44 | 3.64013071788317e-06 | 7.28026143576635e-06 | 0.999996359869282 |
45 | 2.57684500224907e-06 | 5.15369000449814e-06 | 0.999997423154998 |
46 | 2.21888387740262e-06 | 4.43776775480524e-06 | 0.999997781116123 |
47 | 5.47821502813591e-06 | 1.09564300562718e-05 | 0.999994521784972 |
48 | 1.49569963687323e-05 | 2.99139927374645e-05 | 0.999985043003631 |
49 | 3.1274211201965e-05 | 6.25484224039301e-05 | 0.999968725788798 |
50 | 7.80269363135263e-05 | 0.000156053872627053 | 0.999921973063686 |
51 | 0.000132857011300824 | 0.000265714022601648 | 0.9998671429887 |
52 | 0.000329497605177557 | 0.000658995210355114 | 0.999670502394822 |
53 | 0.000566033895891885 | 0.00113206779178377 | 0.999433966104108 |
54 | 0.00103411925205128 | 0.00206823850410256 | 0.998965880747949 |
55 | 0.00197810675648773 | 0.00395621351297547 | 0.998021893243512 |
56 | 0.00516771125669281 | 0.0103354225133856 | 0.994832288743307 |
57 | 0.00952336031796606 | 0.0190467206359321 | 0.990476639682034 |
58 | 0.016786915955704 | 0.0335738319114079 | 0.983213084044296 |
59 | 0.0266654014101618 | 0.0533308028203237 | 0.973334598589838 |
60 | 0.0370059021981374 | 0.0740118043962748 | 0.962994097801863 |
61 | 0.0424451948590305 | 0.084890389718061 | 0.95755480514097 |
62 | 0.077473832859187 | 0.154947665718374 | 0.922526167140813 |
63 | 0.136614028514059 | 0.273228057028117 | 0.863385971485941 |
64 | 0.1760532229669 | 0.352106445933801 | 0.8239467770331 |
65 | 0.280021634489937 | 0.560043268979874 | 0.719978365510063 |
66 | 0.341031505249434 | 0.682063010498868 | 0.658968494750566 |
67 | 0.356949809475211 | 0.713899618950423 | 0.643050190524789 |
68 | 0.460114329730064 | 0.920228659460129 | 0.539885670269936 |
69 | 0.506004100016613 | 0.987991799966773 | 0.493995899983386 |
70 | 0.715962401619482 | 0.568075196761036 | 0.284037598380518 |
71 | 0.786344784678538 | 0.427310430642925 | 0.213655215321462 |
72 | 0.8680340644441 | 0.263931871111801 | 0.131965935555901 |
73 | 0.871958993567137 | 0.256082012865726 | 0.128041006432863 |
74 | 0.875856336662006 | 0.248287326675988 | 0.124143663337994 |
75 | 0.900530581879424 | 0.198938836241151 | 0.0994694181205755 |
76 | 0.933610625043988 | 0.132778749912023 | 0.0663893749560116 |
77 | 0.957630456381262 | 0.0847390872374761 | 0.042369543618738 |
78 | 0.962436452855017 | 0.075127094289965 | 0.0375635471449825 |
79 | 0.974804524519591 | 0.0503909509608172 | 0.0251954754804086 |
80 | 0.983454947362888 | 0.0330901052742248 | 0.0165450526371124 |
81 | 0.991456529130166 | 0.0170869417396686 | 0.00854347086983428 |
82 | 0.997510256791751 | 0.00497948641649751 | 0.00248974320824876 |
83 | 0.998079372355498 | 0.00384125528900439 | 0.00192062764450219 |
84 | 0.998542010082003 | 0.00291597983599461 | 0.0014579899179973 |
85 | 0.99925470147813 | 0.00149059704374092 | 0.00074529852187046 |
86 | 0.999403726071247 | 0.00119254785750575 | 0.000596273928752877 |
87 | 0.999319371369621 | 0.00136125726075772 | 0.000680628630378859 |
88 | 0.999637743321236 | 0.00072451335752749 | 0.000362256678763745 |
89 | 0.999832198109464 | 0.000335603781072169 | 0.000167801890536084 |
90 | 0.999933461502767 | 0.000133076994465295 | 6.65384972326475e-05 |
91 | 0.99994750294038 | 0.000104994119238992 | 5.24970596194959e-05 |
92 | 0.999957558559126 | 8.48828817483165e-05 | 4.24414408741582e-05 |
93 | 0.999968816519192 | 6.23669616161675e-05 | 3.11834808080837e-05 |
94 | 0.999982980569865 | 3.40388602704418e-05 | 1.70194301352209e-05 |
95 | 0.99999210734977 | 1.57853004596289e-05 | 7.89265022981447e-06 |
96 | 0.999992334872635 | 1.5330254730351e-05 | 7.6651273651755e-06 |
97 | 0.999993171349828 | 1.3657300343419e-05 | 6.8286501717095e-06 |
98 | 0.99999708690879 | 5.8261824195093e-06 | 2.91309120975465e-06 |
99 | 0.999997930589638 | 4.13882072370627e-06 | 2.06941036185313e-06 |
100 | 0.999998486616895 | 3.02676621027229e-06 | 1.51338310513614e-06 |
101 | 0.999999332671292 | 1.33465741558478e-06 | 6.67328707792392e-07 |
102 | 0.999999443841854 | 1.11231629133423e-06 | 5.56158145667117e-07 |
103 | 0.999999710734271 | 5.78531458041552e-07 | 2.89265729020776e-07 |
104 | 0.99999985961154 | 2.80776917707143e-07 | 1.40388458853572e-07 |
105 | 0.999999913675621 | 1.72648758096308e-07 | 8.63243790481542e-08 |
106 | 0.999999977175672 | 4.56486554949688e-08 | 2.28243277474844e-08 |
107 | 0.99999997917466 | 4.16506814978661e-08 | 2.08253407489331e-08 |
108 | 0.999999988150414 | 2.36991711814635e-08 | 1.18495855907318e-08 |
109 | 0.999999997443314 | 5.11337175489061e-09 | 2.55668587744531e-09 |
110 | 0.999999995251313 | 9.4973749661805e-09 | 4.74868748309025e-09 |
111 | 0.999999995857563 | 8.28487391371724e-09 | 4.14243695685862e-09 |
112 | 0.99999999231665 | 1.53667018369899e-08 | 7.68335091849496e-09 |
113 | 0.999999991784943 | 1.64301143441858e-08 | 8.21505717209292e-09 |
114 | 0.999999983305987 | 3.3388025144915e-08 | 1.66940125724575e-08 |
115 | 0.999999994322442 | 1.13551161707791e-08 | 5.67755808538955e-09 |
116 | 0.999999999419205 | 1.16158912352791e-09 | 5.80794561763956e-10 |
117 | 0.999999999092364 | 1.8152718439787e-09 | 9.0763592198935e-10 |
118 | 0.999999998337793 | 3.32441348244025e-09 | 1.66220674122012e-09 |
119 | 0.999999995921802 | 8.15639655561647e-09 | 4.07819827780824e-09 |
120 | 0.999999997746326 | 4.50734862614396e-09 | 2.25367431307198e-09 |
121 | 0.999999992278075 | 1.5443849316176e-08 | 7.721924658088e-09 |
122 | 0.999999975152043 | 4.9695913814052e-08 | 2.4847956907026e-08 |
123 | 0.999999968699854 | 6.26002914492694e-08 | 3.13001457246347e-08 |
124 | 0.999999858002157 | 2.83995685262422e-07 | 1.41997842631211e-07 |
125 | 0.999999824877872 | 3.50244256111349e-07 | 1.75122128055674e-07 |
126 | 0.999999995948934 | 8.1021326556373e-09 | 4.05106632781865e-09 |
127 | 0.99999998150052 | 3.6998960234361e-08 | 1.84994801171805e-08 |
128 | 0.99999987899157 | 2.42016859131107e-07 | 1.21008429565553e-07 |
129 | 0.999998951529047 | 2.09694190637656e-06 | 1.04847095318828e-06 |
130 | 0.999991651572966 | 1.66968540675641e-05 | 8.34842703378204e-06 |
131 | 0.999967871467713 | 6.42570645739648e-05 | 3.21285322869824e-05 |
132 | 0.999795632717645 | 0.00040873456471048 | 0.00020436728235524 |
133 | 0.999843640901323 | 0.000312718197353075 | 0.000156359098676538 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 97 | 0.788617886178862 | NOK |
5% type I error level | 102 | 0.829268292682927 | NOK |
10% type I error level | 108 | 0.878048780487805 | NOK |