Multiple Linear Regression - Estimated Regression Equation |
time_spent_in_RFC_in_seconds[t] = + 2000.31787434043 + 16.1921949216913pageviews[t] + 222.938898701932logins[t] + 115.99984069906compendium_views[t] -122.357813817453`compendium_views_(PR)`[t] -1938.91678517739shared_compendiums[t] + 496.752987924966blogged_computations[t] + 643.869203996423reviewed_compendiums[t] + 0.236751051604619compendium_writing_total_characters[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) | 2000.31787434043 | 6114.331637 | 0.3272 | 0.744059 | 0.37203 |
pageviews | 16.1921949216913 | 15.917486 | 1.0173 | 0.31085 | 0.155425 |
logins | 222.938898701932 | 128.622009 | 1.7333 | 0.085328 | 0.042664 |
compendium_views | 115.99984069906 | 36.467754 | 3.1809 | 0.001822 | 0.000911 |
`compendium_views_(PR)` | -122.357813817453 | 75.146692 | -1.6283 | 0.105803 | 0.052901 |
shared_compendiums | -1938.91678517739 | 1171.355925 | -1.6553 | 0.100192 | 0.050096 |
blogged_computations | 496.752987924966 | 182.03397 | 2.7289 | 0.007201 | 0.003601 |
reviewed_compendiums | 643.869203996423 | 365.628109 | 1.761 | 0.080503 | 0.040252 |
compendium_writing_total_characters | 0.236751051604619 | 0.148273 | 1.5967 | 0.112665 | 0.056332 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.916007153826549 |
R-squared | 0.839069105861416 |
Adjusted R-squared | 0.829532460282833 |
F-TEST (value) | 87.983672974676 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 135 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 28132.9428254757 |
Sum Squared Residuals | 106847433722.901 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 157382 | 141564.905907497 | 15817.0940925027 |
2 | 168465 | 118622.561244701 | 49842.438755299 |
3 | 7215 | 17688.6469388882 | -10473.6469388882 |
4 | 122259 | 157596.921418362 | -35337.9214183616 |
5 | 221399 | 269130.192349858 | -47731.1923498583 |
6 | 454489 | 448686.133921225 | 5802.86607877448 |
7 | 134379 | 126256.843687455 | 8122.15631254509 |
8 | 150416 | 132301.395277986 | 18114.604722014 |
9 | 121391 | 130361.392340624 | -8970.39234062409 |
10 | 275326 | 220392.76694668 | 54933.2330533203 |
11 | 121593 | 151176.586009404 | -29583.5860094044 |
12 | 172071 | 172098.37285437 | -27.3728543695455 |
13 | 86249 | 144505.251515179 | -58256.2515151795 |
14 | 201902 | 212796.515408578 | -10894.5154085781 |
15 | 144113 | 105488.349834408 | 38624.6501655918 |
16 | 144677 | 133252.775241138 | 11424.2247588624 |
17 | 134153 | 151378.243691294 | -17225.2436912939 |
18 | 64149 | 60745.0142385045 | 3403.98576149554 |
19 | 122294 | 184658.260603368 | -62364.2606033677 |
20 | 27918 | 68445.933972685 | -40527.933972685 |
21 | 52197 | 79409.616136474 | -27212.616136474 |
22 | 191463 | 205122.53636866 | -13659.5363686603 |
23 | 176034 | 140588.997726731 | 35445.0022732691 |
24 | 98629 | 135024.835892171 | -36395.8358921706 |
25 | 143546 | 155183.116237832 | -11637.1162378321 |
26 | 139780 | 109966.863660909 | 29813.1363390914 |
27 | 174181 | 185403.970747358 | -11222.9707473576 |
28 | 163773 | 132460.718941368 | 31312.2810586322 |
29 | 312831 | 217896.052606477 | 94934.9473935226 |
30 | 184024 | 174488.884427583 | 9535.11557241712 |
31 | 151621 | 126972.386821329 | 24648.6131786713 |
32 | 164516 | 122593.428853482 | 41922.5711465181 |
33 | 120414 | 169958.238369021 | -49544.2383690208 |
34 | 214975 | 205147.639568451 | 9827.36043154894 |
35 | 200609 | 175179.545019575 | 25429.4549804246 |
36 | 0 | 2239.44896796406 | -2239.44896796406 |
37 | 191923 | 190408.095365311 | 1514.90463468935 |
38 | 93107 | 108076.289394201 | -14969.2893942006 |
39 | 129419 | 103212.071432574 | 26206.9285674261 |
40 | 233497 | 212276.467679747 | 21220.5323202531 |
41 | 178228 | 167507.036134416 | 10720.9638655842 |
42 | 126602 | 148665.890043053 | -22063.8900430533 |
43 | 94332 | 103564.502357869 | -9232.50235786938 |
44 | 164183 | 186368.44064747 | -22185.44064747 |
45 | 95704 | 106243.089449542 | -10539.0894495424 |
46 | 139901 | 105672.750194643 | 34228.2498053568 |
47 | 81293 | 77367.6049062049 | 3925.39509379512 |
48 | 189007 | 169964.473377027 | 19042.5266229734 |
49 | 173779 | 159373.855403243 | 14405.1445967571 |
50 | 146552 | 178233.368592767 | -31681.3685927668 |
51 | 48188 | 63566.3968707068 | -15378.3968707068 |
52 | 113870 | 131778.615177347 | -17908.6151773471 |
53 | 266451 | 195782.312475356 | 70668.6875246443 |
54 | 229437 | 172168.930056212 | 57268.0699437876 |
55 | 174876 | 154685.493531575 | 20190.5064684246 |
56 | 119070 | 100724.887976929 | 18345.1120230715 |
57 | 186704 | 139801.00776781 | 46902.9922321902 |
58 | 72559 | 76578.5106233621 | -4019.51062336214 |
59 | 111940 | 109102.032745717 | 2837.96725428328 |
60 | 166226 | 191948.164467817 | -25722.1644678173 |
61 | 130414 | 123285.970419402 | 7128.02958059797 |
62 | 102141 | 152491.589792353 | -50350.5897923526 |
63 | 115753 | 92375.091860266 | 23377.908139734 |
64 | 102194 | 104257.076321972 | -2063.07632197192 |
65 | 148531 | 101702.873486204 | 46828.126513796 |
66 | 94982 | 117024.920261688 | -22042.920261688 |
67 | 178613 | 157687.32265358 | 20925.6773464199 |
68 | 128907 | 200711.518184075 | -71804.5181840753 |
69 | 102378 | 103822.774716989 | -1444.77471698858 |
70 | 31970 | 34660.6113312216 | -2690.61133122156 |
71 | 204812 | 196984.586455466 | 7827.41354453442 |
72 | 104972 | 100919.731246794 | 4052.26875320622 |
73 | 95276 | 133848.195764221 | -38572.1957642211 |
74 | 101560 | 119004.928390635 | -17444.9283906348 |
75 | 144193 | 194446.60929325 | -50253.60929325 |
76 | 71921 | 81771.6133898082 | -9850.61338980826 |
77 | 126905 | 149152.835569872 | -22247.8355698717 |
78 | 140303 | 204039.502970929 | -63736.5029709286 |
79 | 60138 | 66866.5687815861 | -6728.56878158609 |
80 | 84971 | 117634.556933422 | -32663.5569334225 |
81 | 80420 | 102945.150270192 | -22525.1502701918 |
82 | 244190 | 168929.021158613 | 75260.9788413867 |
83 | 56252 | 74872.533388192 | -18620.533388192 |
84 | 97181 | 106154.530212217 | -8973.53021221654 |
85 | 50913 | 74217.7606874474 | -23304.7606874474 |
86 | 143910 | 130511.083404367 | 13398.9165956333 |
87 | 218900 | 215162.95875352 | 3737.04124648022 |
88 | 90772 | 107373.80510983 | -16601.8051098297 |
89 | 90385 | 101536.000102294 | -11151.000102294 |
90 | 136220 | 123481.167963365 | 12738.8320366349 |
91 | 115572 | 135812.705312138 | -20240.7053121376 |
92 | 139075 | 171218.130246999 | -32143.1302469989 |
93 | 148950 | 117409.024841327 | 31540.9751586734 |
94 | 124626 | 115005.21721895 | 9620.78278104963 |
95 | 49176 | 80988.4998479372 | -31812.4998479372 |
96 | 215480 | 179678.013744277 | 35801.9862557226 |
97 | 182328 | 173437.282544736 | 8890.71745526409 |
98 | 19349 | 22246.869638897 | -2897.869638897 |
99 | 183873 | 162535.479601418 | 21337.520398582 |
100 | 146020 | 177150.839186977 | -31130.8391869766 |
101 | 51201 | 56788.3708016714 | -5587.37080167141 |
102 | 58280 | 82661.846355526 | -24381.846355526 |
103 | 115944 | 109481.75534141 | 6462.24465859011 |
104 | 94341 | 79874.5271500347 | 14466.4728499653 |
105 | 72904 | 66715.0492523852 | 6188.95074761482 |
106 | 27676 | 44518.8927827658 | -16842.8927827658 |
107 | 125728 | 116941.554803658 | 8786.44519634182 |
108 | 89920 | 61096.5154889074 | 28823.4845110926 |
109 | 0 | 2000.31787434043 | -2000.31787434043 |
110 | 85610 | 116179.458093788 | -30569.4580937883 |
111 | 106742 | 104966.031761815 | 1775.96823818532 |
112 | 126825 | 118463.066824372 | 8361.9331756275 |
113 | 109807 | 116431.046954115 | -6624.04695411477 |
114 | 71894 | 92642.4840153629 | -20748.4840153629 |
115 | 3616 | 5390.21227244159 | -1774.21227244159 |
116 | 0 | 2000.31787434043 | -2000.31787434043 |
117 | 154806 | 90496.4081805608 | 64309.5918194392 |
118 | 136333 | 164921.856627723 | -28588.8566277232 |
119 | 147766 | 136506.82183104 | 11259.1781689595 |
120 | 113245 | 93289.3129614182 | 19955.6870385818 |
121 | 43410 | 49776.6406063627 | -6366.64060636272 |
122 | 152455 | 143277.963701059 | 9177.03629894108 |
123 | 88874 | 78655.6320519016 | 10218.3679480984 |
124 | 111924 | 131077.478040756 | -19153.4780407555 |
125 | 60373 | 48760.1626656417 | 11612.8373343583 |
126 | 19764 | 21343.6933522384 | -1579.69335223845 |
127 | 125760 | 123023.031919379 | 2736.96808062087 |
128 | 108685 | 88256.0732805032 | 20428.9267194968 |
129 | 141868 | 133603.897473702 | 8264.10252629824 |
130 | 11796 | 16408.5767697704 | -4612.57676977042 |
131 | 10674 | 8565.09311133039 | 2108.90688866961 |
132 | 131263 | 134292.120324044 | -3029.12032404363 |
133 | 6836 | 4641.0929448344 | 2194.9070551656 |
134 | 153278 | 148903.326464974 | 4374.6735350258 |
135 | 5118 | 6406.61292715901 | -1288.612927159 |
136 | 40248 | 37084.0810095026 | 3163.91899049742 |
137 | 0 | 2000.31787434043 | -2000.31787434043 |
138 | 100798 | 92356.7815727134 | 8441.21842728664 |
139 | 84315 | 95498.1907959919 | -11183.1907959919 |
140 | 7131 | 5396.72017150239 | 1734.27982849761 |
141 | 8812 | 21200.8189088671 | -12388.8189088671 |
142 | 63952 | 62706.7971885174 | 1245.20281148258 |
143 | 120111 | 101831.588227008 | 18279.4117729918 |
144 | 94127 | 88375.8798943121 | 5751.12010568794 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 0.580605847865781 | 0.838788304268439 | 0.419394152134219 |
13 | 0.634119073350269 | 0.731761853299463 | 0.365880926649731 |
14 | 0.836672683054845 | 0.32665463389031 | 0.163327316945155 |
15 | 0.783671840881494 | 0.432656318237012 | 0.216328159118506 |
16 | 0.692458610648209 | 0.615082778703582 | 0.307541389351791 |
17 | 0.736114560050266 | 0.527770879899468 | 0.263885439949734 |
18 | 0.658834559021001 | 0.682330881957999 | 0.341165440978999 |
19 | 0.658394317128283 | 0.683211365743434 | 0.341605682871717 |
20 | 0.588157892730395 | 0.82368421453921 | 0.411842107269605 |
21 | 0.509686437089005 | 0.98062712582199 | 0.490313562910995 |
22 | 0.44599428838323 | 0.89198857676646 | 0.55400571161677 |
23 | 0.908131637059459 | 0.183736725881082 | 0.0918683629405411 |
24 | 0.888239596816242 | 0.223520806367516 | 0.111760403183758 |
25 | 0.86047531659149 | 0.279049366817019 | 0.13952468340851 |
26 | 0.845779489325413 | 0.308441021349174 | 0.154220510674587 |
27 | 0.880640534276391 | 0.238718931447217 | 0.119359465723609 |
28 | 0.887157622036434 | 0.225684755927133 | 0.112842377963566 |
29 | 0.994924550973385 | 0.0101508980532307 | 0.00507544902661533 |
30 | 0.993108259769145 | 0.0137834804617098 | 0.00689174023085489 |
31 | 0.992579831640593 | 0.0148403367188131 | 0.00742016835940657 |
32 | 0.992997053803074 | 0.0140058923938524 | 0.00700294619692619 |
33 | 0.998856622965475 | 0.00228675406904937 | 0.00114337703452469 |
34 | 0.998383147398867 | 0.00323370520226501 | 0.00161685260113251 |
35 | 0.997874495269083 | 0.00425100946183402 | 0.00212550473091701 |
36 | 0.996782171612749 | 0.00643565677450187 | 0.00321782838725093 |
37 | 0.995106035164467 | 0.00978792967106579 | 0.0048939648355329 |
38 | 0.993756712001886 | 0.0124865759962271 | 0.00624328799811353 |
39 | 0.993086053439398 | 0.0138278931212033 | 0.00691394656060164 |
40 | 0.991432703547943 | 0.0171345929041132 | 0.00856729645205661 |
41 | 0.988283291035383 | 0.0234334179292341 | 0.011716708964617 |
42 | 0.985236655547845 | 0.0295266889043094 | 0.0147633444521547 |
43 | 0.981417546992909 | 0.0371649060141829 | 0.0185824530070915 |
44 | 0.979625729057431 | 0.0407485418851375 | 0.0203742709425688 |
45 | 0.974221611919711 | 0.0515567761605774 | 0.0257783880802887 |
46 | 0.978499470266653 | 0.0430010594666938 | 0.0215005297333469 |
47 | 0.971737421530891 | 0.0565251569382173 | 0.0282625784691087 |
48 | 0.966267592262503 | 0.067464815474993 | 0.0337324077374965 |
49 | 0.959499564606613 | 0.0810008707867746 | 0.0405004353933873 |
50 | 0.964290251507457 | 0.0714194969850859 | 0.035709748492543 |
51 | 0.955463523211653 | 0.0890729535766935 | 0.0445364767883468 |
52 | 0.950308144017007 | 0.0993837119659857 | 0.0496918559829928 |
53 | 0.988951319603756 | 0.0220973607924889 | 0.0110486803962445 |
54 | 0.996848325039835 | 0.00630334992032948 | 0.00315167496016474 |
55 | 0.996365464907728 | 0.00726907018454449 | 0.00363453509227224 |
56 | 0.995418402350681 | 0.00916319529863783 | 0.00458159764931892 |
57 | 0.998035950473591 | 0.00392809905281782 | 0.00196404952640891 |
58 | 0.997146386545143 | 0.00570722690971329 | 0.00285361345485665 |
59 | 0.995887986542587 | 0.00822402691482652 | 0.00411201345741326 |
60 | 0.995403065215549 | 0.00919386956890264 | 0.00459693478445132 |
61 | 0.993467075382003 | 0.0130658492359932 | 0.00653292461799662 |
62 | 0.996538206461695 | 0.0069235870766109 | 0.00346179353830545 |
63 | 0.995523175700221 | 0.00895364859955738 | 0.00447682429977869 |
64 | 0.993675745801429 | 0.0126485083971427 | 0.00632425419857135 |
65 | 0.996985178572791 | 0.00602964285441717 | 0.00301482142720858 |
66 | 0.996457382558718 | 0.00708523488256337 | 0.00354261744128168 |
67 | 0.9971109838587 | 0.00577803228259906 | 0.00288901614129953 |
68 | 0.999734338746427 | 0.00053132250714576 | 0.00026566125357288 |
69 | 0.999644199681143 | 0.000711600637713712 | 0.000355800318856856 |
70 | 0.999445337998345 | 0.00110932400331036 | 0.000554662001655179 |
71 | 0.999207239735963 | 0.00158552052807387 | 0.000792760264036937 |
72 | 0.99879954504662 | 0.00240090990675936 | 0.00120045495337968 |
73 | 0.999116384615787 | 0.00176723076842534 | 0.000883615384212668 |
74 | 0.998933886952714 | 0.00213222609457243 | 0.00106611304728621 |
75 | 0.9995198666923 | 0.000960266615400285 | 0.000480133307700143 |
76 | 0.999387593951121 | 0.00122481209775856 | 0.000612406048879279 |
77 | 0.999442932320058 | 0.0011141353598843 | 0.00055706767994215 |
78 | 0.999976844312709 | 4.63113745815719e-05 | 2.31556872907859e-05 |
79 | 0.999962454316484 | 7.50913670321715e-05 | 3.75456835160858e-05 |
80 | 0.999971284182298 | 5.74316354043931e-05 | 2.87158177021966e-05 |
81 | 0.99995894514582 | 8.21097083600672e-05 | 4.10548541800336e-05 |
82 | 0.999999506322791 | 9.8735441739704e-07 | 4.9367720869852e-07 |
83 | 0.999999431453994 | 1.13709201291522e-06 | 5.68546006457611e-07 |
84 | 0.999999534727144 | 9.30545712318619e-07 | 4.6527285615931e-07 |
85 | 0.999999612122884 | 7.75754231835982e-07 | 3.87877115917991e-07 |
86 | 0.999999290731201 | 1.41853759833036e-06 | 7.09268799165179e-07 |
87 | 0.999998649060779 | 2.70187844223423e-06 | 1.35093922111712e-06 |
88 | 0.999998798164682 | 2.40367063638944e-06 | 1.20183531819472e-06 |
89 | 0.999997766861445 | 4.46627710933034e-06 | 2.23313855466517e-06 |
90 | 0.999996556162816 | 6.88767436798939e-06 | 3.44383718399469e-06 |
91 | 0.999994167294199 | 1.16654116010691e-05 | 5.83270580053456e-06 |
92 | 0.999997129968385 | 5.74006323037484e-06 | 2.87003161518742e-06 |
93 | 0.99999832791537 | 3.34416926057643e-06 | 1.67208463028821e-06 |
94 | 0.999996879946916 | 6.24010616777161e-06 | 3.12005308388581e-06 |
95 | 0.999997302261916 | 5.39547616869924e-06 | 2.69773808434962e-06 |
96 | 0.999996529568773 | 6.94086245416693e-06 | 3.47043122708346e-06 |
97 | 0.999993849555043 | 1.23008899141838e-05 | 6.1504449570919e-06 |
98 | 0.999987738526784 | 2.45229464310735e-05 | 1.22614732155367e-05 |
99 | 0.99998429474942 | 3.14105011591027e-05 | 1.57052505795514e-05 |
100 | 0.999992173584875 | 1.56528302498096e-05 | 7.82641512490481e-06 |
101 | 0.999986001261078 | 2.79974778450859e-05 | 1.39987389225429e-05 |
102 | 0.999990355120167 | 1.92897596655173e-05 | 9.64487983275864e-06 |
103 | 0.999980388743678 | 3.9222512644903e-05 | 1.96112563224515e-05 |
104 | 0.999963650637872 | 7.2698724255915e-05 | 3.63493621279575e-05 |
105 | 0.999928104508533 | 0.000143790982934493 | 7.18954914672465e-05 |
106 | 0.999942949039039 | 0.000114101921921907 | 5.70509609609534e-05 |
107 | 0.999888710276123 | 0.0002225794477545 | 0.00011128972387725 |
108 | 0.999888830158076 | 0.000222339683849022 | 0.000111169841924511 |
109 | 0.999779882151426 | 0.000440235697148207 | 0.000220117848574103 |
110 | 0.999824543668991 | 0.000350912662017781 | 0.00017545633100889 |
111 | 0.999652093945047 | 0.000695812109906701 | 0.00034790605495335 |
112 | 0.999340932201974 | 0.0013181355960511 | 0.000659067798025552 |
113 | 0.998849400736916 | 0.00230119852616823 | 0.00115059926308411 |
114 | 0.999552429772578 | 0.000895140454843119 | 0.00044757022742156 |
115 | 0.999100086232215 | 0.00179982753556994 | 0.00089991376778497 |
116 | 0.998245707163205 | 0.00350858567359048 | 0.00175429283679524 |
117 | 0.99997446553419 | 5.10689316195267e-05 | 2.55344658097633e-05 |
118 | 0.999999924183896 | 1.51632207792093e-07 | 7.58161038960464e-08 |
119 | 0.99999974417669 | 5.11646620560967e-07 | 2.55823310280484e-07 |
120 | 0.999999309851894 | 1.38029621280312e-06 | 6.9014810640156e-07 |
121 | 0.999998090924575 | 3.81815085008732e-06 | 1.90907542504366e-06 |
122 | 0.999994644068526 | 1.07118629477436e-05 | 5.3559314738718e-06 |
123 | 0.999980404100263 | 3.91917994739941e-05 | 1.95958997369971e-05 |
124 | 0.999998802390754 | 2.39521849241198e-06 | 1.19760924620599e-06 |
125 | 0.999996241019927 | 7.5179601463437e-06 | 3.75898007317185e-06 |
126 | 0.999984534453615 | 3.09310927700651e-05 | 1.54655463850326e-05 |
127 | 0.999925799032847 | 0.00014840193430571 | 7.42009671528549e-05 |
128 | 0.999916225823377 | 0.000167548353246404 | 8.37741766232021e-05 |
129 | 0.999935709337062 | 0.000128581325876119 | 6.42906629380597e-05 |
130 | 0.999609482673169 | 0.000781034653661387 | 0.000390517326830693 |
131 | 0.99998069573358 | 3.86085328396314e-05 | 1.93042664198157e-05 |
132 | 0.999919089401074 | 0.000161821197852009 | 8.09105989260047e-05 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 82 | 0.677685950413223 | NOK |
5% type I error level | 97 | 0.801652892561983 | NOK |
10% type I error level | 104 | 0.859504132231405 | NOK |