Multiple Linear Regression - Estimated Regression Equation |
HOF[t] = + 108.897508244835 -0.0161534809472837total_pageviews[t] -6.39315458098368e-06number_logins[t] -0.371092106793346total_time[t] -0.0528702119627776total_coursecompendiumviews[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) | 108.897508244835 | 5.916441 | 18.4059 | 0 | 0 |
total_pageviews | -0.0161534809472837 | 0.027389 | -0.5898 | 0.556295 | 0.278148 |
number_logins | -6.39315458098368e-06 | 0.000166 | -0.0385 | 0.969377 | 0.484688 |
total_time | -0.371092106793346 | 0.275574 | -1.3466 | 0.180297 | 0.090148 |
total_coursecompendiumviews | -0.0528702119627776 | 0.077083 | -0.6859 | 0.493925 | 0.246963 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.523014985732201 |
R-squared | 0.273544675300454 |
Adjusted R-squared | 0.252639486100467 |
F-TEST (value) | 13.0850131363855 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 139 |
p-value | 4.52163850805931e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 36.0611604664241 |
Sum Squared Residuals | 180756.613891741 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 61.1849465143557 | -60.1849465143557 |
2 | 2 | 81.9144216023049 | -79.9144216023049 |
3 | 3 | 95.8376028584858 | -92.8376028584858 |
4 | 4 | 42.1758897963222 | -38.1758897963222 |
5 | 5 | 5.28718352762902 | -0.287183527629016 |
6 | 6 | -49.1798288114837 | 55.1798288114837 |
7 | 7 | 66.2719219212963 | -59.2719219212963 |
8 | 8 | 77.2656844013428 | -69.2656844013428 |
9 | 9 | 60.6634266641416 | -51.6634266641416 |
10 | 10 | 21.3565099403783 | -11.3565099403783 |
11 | 11 | 67.8210714189672 | -56.8210714189672 |
12 | 12 | 50.7307525466911 | -38.7307525466911 |
13 | 13 | 47.4229739589727 | -34.4229739589727 |
14 | 14 | 28.9583244287924 | -14.9583244287924 |
15 | 15 | 75.5305242472444 | -60.5305242472444 |
16 | 16 | 62.5409426844075 | -46.5409426844075 |
17 | 17 | 68.3998364453477 | -51.3998364453477 |
18 | 18 | 90.989121062006 | -72.989121062006 |
19 | 19 | 36.4044288594593 | -17.4044288594593 |
20 | 20 | 85.7861304385405 | -65.7861304385405 |
21 | 21 | 72.011929601602 | -51.011929601602 |
22 | 22 | 49.5864750314944 | -27.5864750314944 |
23 | 23 | 70.9549707643388 | -47.9549707643388 |
24 | 24 | 60.4526827497602 | -36.4526827497602 |
25 | 25 | 51.3728750466307 | -26.3728750466307 |
26 | 26 | 81.2012746426861 | -55.2012746426861 |
27 | 27 | 31.593566494381 | -4.59356649438104 |
28 | 28 | 67.1520270201946 | -39.1520270201946 |
29 | 29 | 31.5333690559636 | -2.53336905596364 |
30 | 30 | 52.0178816929979 | -22.0178816929979 |
31 | 31 | 73.6332409991931 | -42.6332409991931 |
32 | 32 | 62.3744379169222 | -30.3744379169222 |
33 | 33 | 50.3808390880977 | -17.3808390880977 |
34 | 34 | 75.2641098152131 | -41.2641098152131 |
35 | 35 | 53.228451826963 | -18.228451826963 |
36 | 36 | 108.897508244835 | -72.8975082448351 |
37 | 37 | 67.9071457644746 | -30.9071457644746 |
38 | 38 | 57.3109018349204 | -19.3109018349204 |
39 | 39 | 70.2528633734488 | -31.2528633734488 |
40 | 40 | 56.5814261760761 | -16.5814261760761 |
41 | 41 | 59.3452018461213 | -18.3452018461213 |
42 | 42 | 70.0783674442305 | -28.0783674442305 |
43 | 43 | 90.2604316406909 | -47.2604316406909 |
44 | 44 | 51.828381472954 | -7.82838147295403 |
45 | 45 | 74.9294934833074 | -29.9294934833074 |
46 | 46 | 76.9489766918322 | -30.9489766918322 |
47 | 47 | 92.6517346051763 | -45.6517346051763 |
48 | 48 | 52.6572911895911 | -4.65729118959112 |
49 | 49 | 63.6651562088623 | -14.6651562088623 |
50 | 50 | 54.0333014831764 | -4.03330148317637 |
51 | 51 | 84.2343140485168 | -33.2343140485168 |
52 | 52 | 73.9684245593111 | -21.9684245593111 |
53 | 53 | 50.6862340174112 | 2.31376598258884 |
54 | 54 | 59.9375822962366 | -5.93758229623656 |
55 | 55 | 59.9299126389738 | -4.92991263897382 |
56 | 56 | 65.600314074464 | -9.60031407446404 |
57 | 57 | 73.3839650672908 | -16.3839650672908 |
58 | 58 | 89.8931353866527 | -31.8931353866527 |
59 | 59 | 74.1803895739589 | -15.1803895739589 |
60 | 60 | 78.2609048409654 | -18.2609048409654 |
61 | 61 | 84.5547248655753 | -23.5547248655753 |
62 | 62 | 66.1951598606074 | -4.19515986060739 |
63 | 63 | 83.0893355101722 | -20.0893355101722 |
64 | 64 | 86.2204124370905 | -22.2204124370905 |
65 | 65 | 89.0891161626583 | -24.0891161626583 |
66 | 66 | 72.4978589707704 | -6.49785897077036 |
67 | 67 | 57.5923621154138 | 9.40763788458622 |
68 | 68 | 35.9889359378181 | 32.0110640621819 |
69 | 69 | 84.247371892699 | -15.247371892699 |
70 | 70 | 99.6711074247819 | -29.6711074247819 |
71 | 71 | 28.8940786269688 | 42.1059213730312 |
72 | 72 | 76.2866867953408 | -4.28668679534077 |
73 | 73 | 72.931720035028 | 0.0682799649720102 |
74 | 74 | 65.2925480301549 | 8.70745196984508 |
75 | 75 | 70.9959634016198 | 4.00403659838024 |
76 | 76 | 85.8788944330296 | -9.87889443302957 |
77 | 77 | 70.9816093822363 | 6.01839061776371 |
78 | 78 | 60.6023040277504 | 17.3976959722496 |
79 | 79 | 89.0726185272441 | -10.0726185272441 |
80 | 80 | 73.3848325035693 | 6.61516749643069 |
81 | 81 | 81.1702103118585 | -0.170210311858532 |
82 | 82 | 66.3395453110784 | 15.6604546889216 |
83 | 83 | 84.5024790104576 | -1.50247901045759 |
84 | 84 | 68.3610155337008 | 15.6389844662992 |
85 | 85 | 81.4194395073541 | 3.58056049264586 |
86 | 86 | 68.7900589050345 | 17.2099410949655 |
87 | 87 | 28.5144879071939 | 58.4855120928061 |
88 | 88 | 80.5321887933598 | 7.46781120664023 |
89 | 89 | 83.5439963694345 | 5.45600363056553 |
90 | 90 | 79.8132047809729 | 10.1867952190271 |
91 | 91 | 71.2985111678865 | 19.7014888321135 |
92 | 92 | 51.6762804422103 | 40.3237195577897 |
93 | 93 | 78.3895874311331 | 14.6104125688669 |
94 | 94 | 76.4414479482773 | 17.5585520517227 |
95 | 95 | 83.3126719590645 | 11.6873280409355 |
96 | 96 | 38.9678586698338 | 57.0321413301662 |
97 | 97 | 73.6426346014842 | 23.3573653985158 |
98 | 98 | 97.5634169503177 | 0.436583049682278 |
99 | 99 | 56.0599135288296 | 42.9400864711704 |
100 | 100 | 64.1495592051817 | 35.8504407948183 |
101 | 101 | 91.5681973066658 | 9.43180269333423 |
102 | 102 | 90.3325595184097 | 11.6674404815903 |
103 | 103 | 70.388965206165 | 32.611034793835 |
104 | 104 | 89.4760066741905 | 14.5239933258095 |
105 | 105 | 88.0996212385651 | 16.9003787614348 |
106 | 106 | 88.3999637509634 | 17.6000362490366 |
107 | 107 | 86.439513426959 | 20.560486573041 |
108 | 108 | 90.5835252961109 | 17.4164747038891 |
109 | 109 | 108.897508244835 | 0.102491755164938 |
110 | 110 | 85.4741073361759 | 24.5258926638241 |
111 | 111 | 81.0191558718482 | 29.9808441281518 |
112 | 112 | 78.3338108091312 | 33.6661891908688 |
113 | 113 | 76.060883808093 | 36.939116191907 |
114 | 114 | 76.9792898507355 | 37.0207101492645 |
115 | 115 | 106.726887062993 | 8.27311293700653 |
116 | 116 | 108.897508244835 | 7.10249175516494 |
117 | 117 | 79.0626685641437 | 37.9373314358563 |
118 | 118 | 69.3884862619027 | 48.6115137380973 |
119 | 119 | 56.7451156034555 | 62.2548843965445 |
120 | 120 | 82.7728675020249 | 37.2271324979751 |
121 | 121 | 73.5637213052832 | 47.4362786947168 |
122 | 122 | 68.0224214441754 | 53.9775785558246 |
123 | 123 | 85.4834430488398 | 37.5165569511602 |
124 | 124 | 77.7056204429128 | 46.2943795570872 |
125 | 125 | 86.9373529414696 | 38.0626470585304 |
126 | 126 | 95.7490406889922 | 30.2509593110078 |
127 | 127 | 69.703706069674 | 57.296293930326 |
128 | 128 | 82.8125553897086 | 45.1874446102914 |
129 | 129 | 77.5460671039848 | 51.4539328960152 |
130 | 130 | 97.1702277646936 | 32.8297722353064 |
131 | 131 | 103.265977025647 | 27.734022974353 |
132 | 132 | 75.8679429399119 | 56.1320570600881 |
133 | 133 | 106.49666326931 | 26.5033367306898 |
134 | 134 | 81.4237124044979 | 52.5762875955021 |
135 | 135 | 106.755844287747 | 28.244155712253 |
136 | 136 | 92.2543744476613 | 43.7456255523387 |
137 | 137 | 108.897508244835 | 28.1024917551649 |
138 | 138 | 85.9919160579567 | 52.0080839420433 |
139 | 139 | 96.2183555332069 | 42.7816444667931 |
140 | 140 | 104.63162255262 | 35.3683774473803 |
141 | 141 | 103.063136874532 | 37.9368631254676 |
142 | 142 | 94.9019380125215 | 47.0980619874785 |
143 | 143 | 90.4787479008811 | 52.5212520991189 |
144 | 144 | 83.9119591804224 | 60.0880408195776 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.00111524757531306 | 0.00223049515062611 | 0.998884752424687 |
9 | 9.69124996634808e-05 | 0.000193824999326962 | 0.999903087500337 |
10 | 7.90663165079272e-06 | 1.58132633015854e-05 | 0.999992093368349 |
11 | 2.75619097124033e-06 | 5.51238194248066e-06 | 0.999997243809029 |
12 | 5.94355623412773e-07 | 1.18871124682555e-06 | 0.999999405644377 |
13 | 1.31857370139661e-06 | 2.63714740279322e-06 | 0.999998681426299 |
14 | 2.4322377500371e-07 | 4.8644755000742e-07 | 0.999999756776225 |
15 | 1.14851648913566e-07 | 2.29703297827131e-07 | 0.999999885148351 |
16 | 4.90475000907427e-08 | 9.80950001814855e-08 | 0.9999999509525 |
17 | 3.25981748503224e-08 | 6.51963497006449e-08 | 0.999999967401825 |
18 | 2.2375419969195e-08 | 4.47508399383899e-08 | 0.99999997762458 |
19 | 5.17046934395444e-09 | 1.03409386879089e-08 | 0.999999994829531 |
20 | 1.84803306327929e-09 | 3.69606612655858e-09 | 0.999999998151967 |
21 | 1.98469871600648e-09 | 3.96939743201297e-09 | 0.999999998015301 |
22 | 2.57610418748778e-09 | 5.15220837497556e-09 | 0.999999997423896 |
23 | 1.39006013094224e-09 | 2.78012026188449e-09 | 0.99999999860994 |
24 | 4.91890715867502e-10 | 9.83781431735004e-10 | 0.999999999508109 |
25 | 6.96557256346625e-10 | 1.39311451269325e-09 | 0.999999999303443 |
26 | 3.976000294208e-10 | 7.952000588416e-10 | 0.9999999996024 |
27 | 3.55964902040279e-09 | 7.11929804080559e-09 | 0.999999996440351 |
28 | 6.42212611469939e-09 | 1.28442522293988e-08 | 0.999999993577874 |
29 | 4.11470158109174e-09 | 8.22940316218349e-09 | 0.999999995885298 |
30 | 2.28851316037694e-09 | 4.57702632075388e-09 | 0.999999997711487 |
31 | 3.54095808786317e-09 | 7.08191617572634e-09 | 0.999999996459042 |
32 | 2.62776399421916e-09 | 5.25552798843831e-09 | 0.999999997372236 |
33 | 5.4866120697733e-09 | 1.09732241395466e-08 | 0.999999994513388 |
34 | 1.18248736559438e-08 | 2.36497473118877e-08 | 0.999999988175126 |
35 | 1.08357811859646e-08 | 2.16715623719292e-08 | 0.999999989164219 |
36 | 2.68760660250172e-08 | 5.37521320500344e-08 | 0.999999973123934 |
37 | 2.62090954701577e-08 | 5.24181909403154e-08 | 0.999999973790905 |
38 | 4.10064164997298e-08 | 8.20128329994597e-08 | 0.999999958993584 |
39 | 9.70739094710611e-08 | 1.94147818942122e-07 | 0.999999902926091 |
40 | 1.07607633758448e-07 | 2.15215267516895e-07 | 0.999999892392366 |
41 | 1.46352004638416e-07 | 2.92704009276831e-07 | 0.999999853647995 |
42 | 1.60562489702126e-07 | 3.21124979404251e-07 | 0.99999983943751 |
43 | 3.02470015756603e-07 | 6.04940031513205e-07 | 0.999999697529984 |
44 | 3.79702265270413e-07 | 7.59404530540826e-07 | 0.999999620297735 |
45 | 7.47463754857271e-07 | 1.49492750971454e-06 | 0.999999252536245 |
46 | 2.17282236683723e-06 | 4.34564473367445e-06 | 0.999997827177633 |
47 | 5.24947698424185e-06 | 1.04989539684837e-05 | 0.999994750523016 |
48 | 9.56254526144444e-06 | 1.91250905228889e-05 | 0.999990437454739 |
49 | 1.76883283298945e-05 | 3.53766566597889e-05 | 0.99998231167167 |
50 | 1.94397851045389e-05 | 3.88795702090777e-05 | 0.999980560214895 |
51 | 4.62670559311357e-05 | 9.25341118622715e-05 | 0.999953732944069 |
52 | 0.000124024237353002 | 0.000248048474706004 | 0.999875975762647 |
53 | 0.000139230658264244 | 0.000278461316528489 | 0.999860769341736 |
54 | 0.000228985080512647 | 0.000457970161025295 | 0.999771014919487 |
55 | 0.000319867185945616 | 0.000639734371891232 | 0.999680132814054 |
56 | 0.000558101857589147 | 0.00111620371517829 | 0.999441898142411 |
57 | 0.00108875511790501 | 0.00217751023581002 | 0.998911244882095 |
58 | 0.00231299684705934 | 0.00462599369411868 | 0.997687003152941 |
59 | 0.00489794431858045 | 0.00979588863716091 | 0.99510205568142 |
60 | 0.00871542931511075 | 0.0174308586302215 | 0.991284570684889 |
61 | 0.0169693219676555 | 0.033938643935311 | 0.983030678032344 |
62 | 0.0263852492150034 | 0.0527704984300067 | 0.973614750784997 |
63 | 0.0446495606041033 | 0.0892991212082067 | 0.955350439395897 |
64 | 0.0765069457390598 | 0.15301389147812 | 0.92349305426094 |
65 | 0.131293362394413 | 0.262586724788826 | 0.868706637605587 |
66 | 0.180866071460054 | 0.361732142920107 | 0.819133928539946 |
67 | 0.256205231539685 | 0.512410463079369 | 0.743794768460315 |
68 | 0.320410128498762 | 0.640820256997524 | 0.679589871501238 |
69 | 0.418492793204282 | 0.836985586408563 | 0.581507206795718 |
70 | 0.581126078926779 | 0.837747842146442 | 0.418873921073221 |
71 | 0.675060381023697 | 0.649879237952605 | 0.324939618976303 |
72 | 0.760259224092766 | 0.479481551814469 | 0.239740775907234 |
73 | 0.822455089040686 | 0.355089821918629 | 0.177544910959314 |
74 | 0.853097973510702 | 0.293804052978596 | 0.146902026489298 |
75 | 0.879149170281697 | 0.241701659436605 | 0.120850829718303 |
76 | 0.917186338885331 | 0.165627322229339 | 0.0828136611146694 |
77 | 0.944974551573085 | 0.110050896853831 | 0.0550254484269153 |
78 | 0.957019070355805 | 0.0859618592883902 | 0.0429809296441951 |
79 | 0.976961200150563 | 0.0460775996988734 | 0.0230387998494367 |
80 | 0.984389643430366 | 0.0312207131392678 | 0.0156103565696339 |
81 | 0.991959981293658 | 0.0160800374126846 | 0.0080400187063423 |
82 | 0.995622246092539 | 0.0087555078149214 | 0.0043777539074607 |
83 | 0.997836034365147 | 0.00432793126970666 | 0.00216396563485333 |
84 | 0.998680777363221 | 0.00263844527355737 | 0.00131922263677869 |
85 | 0.999316358612931 | 0.00136728277413717 | 0.000683641387068584 |
86 | 0.999638757682679 | 0.00072248463464117 | 0.000361242317320585 |
87 | 0.999901997726607 | 0.000196004546786419 | 9.80022733932097e-05 |
88 | 0.999936345979 | 0.00012730804199919 | 6.36540209995948e-05 |
89 | 0.999967492341157 | 6.50153176858216e-05 | 3.25076588429108e-05 |
90 | 0.999986152892699 | 2.76942146022253e-05 | 1.38471073011126e-05 |
91 | 0.999994914896281 | 1.01702074383272e-05 | 5.08510371916358e-06 |
92 | 0.999996374576468 | 7.25084706326515e-06 | 3.62542353163257e-06 |
93 | 0.99999780250066 | 4.39499867985984e-06 | 2.19749933992992e-06 |
94 | 0.999998602817867 | 2.79436426683863e-06 | 1.39718213341931e-06 |
95 | 0.999999386480853 | 1.22703829491067e-06 | 6.13519147455335e-07 |
96 | 0.999999426731912 | 1.14653617599662e-06 | 5.73268087998311e-07 |
97 | 0.999999687620684 | 6.24758631369395e-07 | 3.12379315684697e-07 |
98 | 0.999999887789632 | 2.24420736666603e-07 | 1.12210368333302e-07 |
99 | 0.999999868618858 | 2.62762284887442e-07 | 1.31381142443721e-07 |
100 | 0.999999932954528 | 1.34090943004024e-07 | 6.70454715020122e-08 |
101 | 0.999999974852231 | 5.02955372842251e-08 | 2.51477686421126e-08 |
102 | 0.999999992795519 | 1.4408962220319e-08 | 7.20448111015951e-09 |
103 | 0.999999993715398 | 1.25692038738182e-08 | 6.28460193690911e-09 |
104 | 0.999999994835622 | 1.03287562879336e-08 | 5.1643781439668e-09 |
105 | 0.999999994206 | 1.15880003258281e-08 | 5.79400016291407e-09 |
106 | 0.999999997676896 | 4.6462070879399e-09 | 2.32310354396995e-09 |
107 | 0.999999997688665 | 4.62266951921827e-09 | 2.31133475960914e-09 |
108 | 0.999999998067615 | 3.86477073819723e-09 | 1.93238536909861e-09 |
109 | 0.999999999643325 | 7.13350111713757e-10 | 3.56675055856878e-10 |
110 | 0.999999999842147 | 3.15706116467085e-10 | 1.57853058233543e-10 |
111 | 0.999999999791595 | 4.16809710867681e-10 | 2.0840485543384e-10 |
112 | 0.999999999886872 | 2.26256252013776e-10 | 1.13128126006888e-10 |
113 | 0.999999999804237 | 3.91525720829037e-10 | 1.95762860414518e-10 |
114 | 0.999999999582698 | 8.34603011467955e-10 | 4.17301505733978e-10 |
115 | 0.999999999880189 | 2.39622950389643e-10 | 1.19811475194821e-10 |
116 | 0.999999999994076 | 1.18481246821226e-11 | 5.9240623410613e-12 |
117 | 0.999999999992627 | 1.47468958364318e-11 | 7.37344791821588e-12 |
118 | 0.9999999999836 | 3.28009319479075e-11 | 1.64004659739538e-11 |
119 | 0.999999999951745 | 9.6510151083399e-11 | 4.82550755416995e-11 |
120 | 0.999999999958034 | 8.39315283467823e-11 | 4.19657641733912e-11 |
121 | 0.999999999966905 | 6.6189486706858e-11 | 3.3094743353429e-11 |
122 | 0.999999999851321 | 2.97358420822486e-10 | 1.48679210411243e-10 |
123 | 0.999999999624371 | 7.51257848644822e-10 | 3.75628924322411e-10 |
124 | 0.999999998400343 | 3.19931481327922e-09 | 1.59965740663961e-09 |
125 | 0.999999994863858 | 1.02722846559426e-08 | 5.13614232797131e-09 |
126 | 0.999999991508134 | 1.6983731385226e-08 | 8.491865692613e-09 |
127 | 0.999999978427833 | 4.31443346625241e-08 | 2.1572167331262e-08 |
128 | 0.999999915445276 | 1.69109448101361e-07 | 8.45547240506805e-08 |
129 | 0.999999936156006 | 1.27687988267098e-07 | 6.38439941335489e-08 |
130 | 0.999999922230797 | 1.55538405739006e-07 | 7.77692028695029e-08 |
131 | 0.999999624290949 | 7.51418100965494e-07 | 3.75709050482747e-07 |
132 | 0.999998556884569 | 2.88623086297748e-06 | 1.44311543148874e-06 |
133 | 0.999994730869218 | 1.0538261563071e-05 | 5.2691307815355e-06 |
134 | 0.9999710059198 | 5.79881604005324e-05 | 2.89940802002662e-05 |
135 | 0.999831928489586 | 0.000336143020828621 | 0.00016807151041431 |
136 | 0.999122428720166 | 0.00175514255966739 | 0.000877571279833697 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 107 | 0.829457364341085 | NOK |
5% type I error level | 112 | 0.868217054263566 | NOK |
10% type I error level | 115 | 0.891472868217054 | NOK |