Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = -16.4185633296183 + 0.00153507997616715time[t] + 4.33057942020698logins[t] + 2.27553622690808compendiumviews[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) | -16.4185633296183 | 16.99669 | -0.966 | 0.335717 | 0.167858 |
time | 0.00153507997616715 | 0.000529 | 2.9045 | 0.004277 | 0.002138 |
logins | 4.33057942020698 | 0.773932 | 5.5956 | 0 | 0 |
compendiumviews | 2.27553622690808 | 0.140358 | 16.2124 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.972174422603544 |
R-squared | 0.945123107964535 |
Adjusted R-squared | 0.943947174563775 |
F-TEST (value) | 803.721628583498 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 140 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 106.257150902458 |
Sum Squared Residuals | 1580681.4965071 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 829 | 815.318353583083 | 13.6816464169171 |
2 | 538 | 546.040686247713 | -8.04068624771247 |
3 | 186 | 227.504556606442 | -41.5045566064418 |
4 | 1405 | 1208.7986927047 | 196.201307295303 |
5 | 1947 | 2093.06702044502 | -146.067020445019 |
6 | 3534 | 2980.31710379628 | 553.682896203724 |
7 | 811 | 853.480053245492 | -42.4800532454917 |
8 | 609 | 547.938217809347 | 61.0617821906529 |
9 | 1151 | 909.298281340657 | 241.701718659343 |
10 | 1779 | 1892.84387676804 | -113.84387676804 |
11 | 834 | 815.115792506056 | 18.8842074939441 |
12 | 1211 | 1180.04872590464 | 30.9512740953589 |
13 | 897 | 1094.49721129962 | -197.497211299617 |
14 | 1574 | 1561.22899853004 | 12.771001469958 |
15 | 688 | 649.962615794934 | 38.037384205066 |
16 | 854 | 971.490777095526 | -117.490777095526 |
17 | 848 | 664.349132359922 | 183.650867640078 |
18 | 324 | 287.530150390393 | 36.4698496096075 |
19 | 1602 | 1451.6021101855 | 150.397889814497 |
20 | 412 | 358.539681298743 | 53.4603187012574 |
21 | 618 | 725.098504999611 | -107.098504999611 |
22 | 1244 | 1144.48417329658 | 99.5158267034237 |
23 | 616 | 690.582600302535 | -74.582600302535 |
24 | 1107 | 929.518325656586 | 177.481674343414 |
25 | 1079 | 1154.03971771145 | -75.0397177114532 |
26 | 611 | 638.675919500403 | -27.6759195004028 |
27 | 1188 | 1413.64110143988 | -225.641101439883 |
28 | 618 | 645.359947432365 | -27.3599474323646 |
29 | 1392 | 1527.23523479142 | -135.23523479142 |
30 | 1189 | 1327.17791781237 | -138.177917812371 |
31 | 752 | 694.49025819292 | 57.5097418070807 |
32 | 1055 | 1065.46217923233 | -10.4621792323255 |
33 | 1044 | 1043.1416705439 | 0.858329456102249 |
34 | 580 | 581.576931754457 | -1.57693175445733 |
35 | 1116 | 1112.56494684818 | 3.43505315181911 |
36 | 0 | -16.4185633296182 | 16.4185633296182 |
37 | 626 | 858.023558326136 | -232.023558326136 |
38 | 1183 | 1056.99708037008 | 126.002919629922 |
39 | 1016 | 604.613131989373 | 411.386868010627 |
40 | 1076 | 1161.86978726214 | -85.869787262143 |
41 | 1061 | 1026.93517387791 | 34.0648261220855 |
42 | 680 | 804.534173150343 | -124.534173150343 |
43 | 404 | 415.624905645158 | -11.6249056451576 |
44 | 1026 | 1179.01123110622 | -153.011231106217 |
45 | 643 | 686.195136457962 | -43.195136457962 |
46 | 415 | 480.169481777016 | -65.1694817770156 |
47 | 328 | 293.022479841249 | 34.9775201587509 |
48 | 960 | 1114.14160955716 | -154.141609557161 |
49 | 769 | 822.513936948403 | -53.5139369484027 |
50 | 1066 | 1135.00010400104 | -69.0001040010355 |
51 | 425 | 415.653603139637 | 9.34639686036311 |
52 | 696 | 641.661230356592 | 54.338769643408 |
53 | 1020 | 1295.94546870435 | -275.945468704355 |
54 | 890 | 1025.14844859296 | -135.148448592961 |
55 | 916 | 1017.47512850169 | -101.475128501687 |
56 | 898 | 859.422744385832 | 38.5772556141679 |
57 | 696 | 650.459542031693 | 45.5404579683073 |
58 | 383 | 338.246241669846 | 44.753758330154 |
59 | 566 | 678.367421010541 | -112.367421010541 |
60 | 548 | 556.582151771933 | -8.582151771933 |
61 | 457 | 439.898111793039 | 17.1018882069607 |
62 | 782 | 843.033505570911 | -61.0335055709107 |
63 | 535 | 521.217509778398 | 13.7824902216016 |
64 | 475 | 456.581220605123 | 18.4187793948766 |
65 | 374 | 386.631201975035 | -12.6312019750351 |
66 | 771 | 746.189275886878 | 24.8107241131224 |
67 | 1140 | 939.328156206605 | 200.671843793395 |
68 | 1502 | 1236.18066444127 | 265.819335558733 |
69 | 500 | 433.898233929071 | 66.1017660709292 |
70 | 82 | 102.514357814226 | -20.514357814226 |
71 | 1569 | 1583.14920138817 | -14.1492013881667 |
72 | 568 | 562.204847205967 | 5.79515279403259 |
73 | 606 | 711.472573436145 | -105.472573436145 |
74 | 918 | 817.967354139123 | 100.032645860877 |
75 | 833 | 808.08684201377 | 24.9131579862301 |
76 | 460 | 402.455630452759 | 57.5443695472414 |
77 | 685 | 666.752905672239 | 18.2470943277613 |
78 | 888 | 916.13689612808 | -28.1368961280794 |
79 | 410 | 344.919471941124 | 65.0805280588765 |
80 | 615 | 731.913917664252 | -116.913917664252 |
81 | 447 | 407.282029705133 | 39.7179702948668 |
82 | 650 | 794.294992005305 | -144.294992005305 |
83 | 545 | 489.656669589683 | 55.3433304103171 |
84 | 830 | 848.912167603812 | -18.9121676038121 |
85 | 515 | 537.798621445617 | -22.7986214456165 |
86 | 853 | 783.79089339669 | 69.2091066033103 |
87 | 1312 | 1281.9938112665 | 30.0061887335025 |
88 | 400 | 373.109686828147 | 26.8903131718531 |
89 | 404 | 453.502109349272 | -49.502109349272 |
90 | 639 | 602.278412502476 | 36.7215874975235 |
91 | 773 | 824.674476560713 | -51.6744765607127 |
92 | 1075 | 992.51494713527 | 82.48505286473 |
93 | 510 | 576.756900800726 | -66.7569008007256 |
94 | 573 | 660.862054040816 | -87.8620540408165 |
95 | 434 | 531.676582131761 | -97.6765821317614 |
96 | 1294 | 1417.79762137634 | -123.79762137634 |
97 | 718 | 722.838140437279 | -4.8381404372785 |
98 | 222 | 213.380999954358 | 8.61900004564184 |
99 | 880 | 924.528107507433 | -44.5281075074325 |
100 | 816 | 973.547088623778 | -157.547088623778 |
101 | 305 | 327.064311790117 | -22.0643117901166 |
102 | 425 | 391.208352439032 | 33.7916475609681 |
103 | 578 | 638.134506703129 | -60.1345067031292 |
104 | 306 | 301.635023694375 | 4.36497630562487 |
105 | 367 | 291.794815405556 | 75.2051845944442 |
106 | 463 | 423.701512314048 | 39.2984876859518 |
107 | 520 | 429.208431801663 | 90.7915681983367 |
108 | 294 | 241.834957078751 | 52.1650429212492 |
109 | 0 | -16.4185633296182 | 16.4185633296182 |
110 | 566 | 435.570631882333 | 130.429368117667 |
111 | 463 | 499.181890169412 | -36.181890169412 |
112 | 630 | 566.239247232063 | 63.7607527679374 |
113 | 632 | 599.792349689375 | 32.2076503106249 |
114 | 462 | 592.366911660958 | -130.366911660958 |
115 | 38 | 7.87356514523694 | 30.1264348547631 |
116 | 0 | -16.4185633296182 | 16.4185633296182 |
117 | 592 | 681.420793693109 | -89.4207936931093 |
118 | 631 | 704.514751763396 | -73.5147517633961 |
119 | 925 | 881.825001122759 | 43.1749988772415 |
120 | 441 | 513.680169849439 | -72.6801698494393 |
121 | 778 | 796.95684567689 | -18.9568456768903 |
122 | 797 | 747.77697725762 | 49.2230227423806 |
123 | 469 | 437.956008789039 | 31.0439912109606 |
124 | 639 | 521.248340966092 | 117.751659033908 |
125 | 484 | 416.235160835725 | 67.7648391642747 |
126 | 214 | 174.770546374316 | 39.2294536256842 |
127 | 696 | 656.955701403617 | 39.044298596383 |
128 | 492 | 524.541243240642 | -32.5412432406418 |
129 | 638 | 621.073953511532 | 16.926046488468 |
130 | 256 | 220.431816776851 | 35.5681832231492 |
131 | 80 | 86.8225326829665 | -6.82253268296651 |
132 | 587 | 671.849929676073 | -84.8499296760725 |
133 | 41 | 32.0978801440703 | 8.90211985592974 |
134 | 497 | 564.059116009872 | -67.0591160098722 |
135 | 42 | 18.0829316104747 | 23.9170683895253 |
136 | 340 | 326.707067050459 | 13.2929329495414 |
137 | 0 | -16.4185633296182 | 16.4185633296182 |
138 | 395 | 460.383818978777 | -65.3838189787768 |
139 | 226 | 193.428351292218 | 32.5716487077824 |
140 | 81 | 73.2898877877758 | 7.71011221222416 |
141 | 61 | 69.5134428894168 | -8.51344288941674 |
142 | 313 | 273.883402005016 | 39.1165979949839 |
143 | 239 | 229.309195059756 | 9.69080494024413 |
144 | 462 | 497.889451658855 | -35.8894516588552 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.72937627550505 | 0.541247448989901 | 0.270623724494951 |
8 | 0.699029275440599 | 0.601941449118802 | 0.300970724559401 |
9 | 0.99212100248571 | 0.0157579950285795 | 0.00787899751428976 |
10 | 0.998560893913527 | 0.00287821217294552 | 0.00143910608647276 |
11 | 0.997079499890003 | 0.00584100021999455 | 0.00292050010999727 |
12 | 0.995057093076672 | 0.0098858138466553 | 0.00494290692332765 |
13 | 0.999075844088837 | 0.00184831182232609 | 0.000924155911163045 |
14 | 0.999252756936023 | 0.00149448612795386 | 0.000747243063976932 |
15 | 0.998627830874945 | 0.00274433825010964 | 0.00137216912505482 |
16 | 0.998319362035533 | 0.00336127592893496 | 0.00168063796446748 |
17 | 0.999107986665347 | 0.00178402666930675 | 0.000892013334653377 |
18 | 0.998767885508882 | 0.00246422898223636 | 0.00123211449111818 |
19 | 0.999832908961478 | 0.000334182077042989 | 0.000167091038521494 |
20 | 0.99983625520079 | 0.000327489598418916 | 0.000163744799209458 |
21 | 0.999800721325479 | 0.000398557349042806 | 0.000199278674521403 |
22 | 0.999748022762578 | 0.000503954474844638 | 0.000251977237422319 |
23 | 0.999619952140063 | 0.000760095719873383 | 0.000380047859936691 |
24 | 0.999898122961193 | 0.000203754077613396 | 0.000101877038806698 |
25 | 0.999876761068255 | 0.000246477863489105 | 0.000123238931744553 |
26 | 0.999789126629882 | 0.000421746740236172 | 0.000210873370118086 |
27 | 0.999975560152582 | 4.88796948353015e-05 | 2.44398474176508e-05 |
28 | 0.99995983083222 | 8.03383355613044e-05 | 4.01691677806522e-05 |
29 | 0.999995722854062 | 8.55429187591715e-06 | 4.27714593795858e-06 |
30 | 0.999997578963003 | 4.84207399450705e-06 | 2.42103699725352e-06 |
31 | 0.999996291128438 | 7.41774312300414e-06 | 3.70887156150207e-06 |
32 | 0.999993951142288 | 1.20977154246929e-05 | 6.04885771234644e-06 |
33 | 0.999988839512021 | 2.23209759575506e-05 | 1.11604879787753e-05 |
34 | 0.99998026203206 | 3.94759358804284e-05 | 1.97379679402142e-05 |
35 | 0.999967434654096 | 6.51306918070953e-05 | 3.25653459035477e-05 |
36 | 0.999948878719475 | 0.000102242561050201 | 5.11212805251007e-05 |
37 | 0.999991393328104 | 1.72133437926746e-05 | 8.6066718963373e-06 |
38 | 0.999993997858766 | 1.20042824681825e-05 | 6.00214123409124e-06 |
39 | 0.999999999725829 | 5.48342054451269e-10 | 2.74171027225634e-10 |
40 | 0.999999999608967 | 7.82065232858908e-10 | 3.91032616429454e-10 |
41 | 0.999999999379972 | 1.24005531346332e-09 | 6.20027656731659e-10 |
42 | 0.999999999480898 | 1.03820461641209e-09 | 5.19102308206043e-10 |
43 | 0.99999999886388 | 2.27223844399563e-09 | 1.13611922199781e-09 |
44 | 0.999999999433115 | 1.13376991664606e-09 | 5.66884958323028e-10 |
45 | 0.99999999886173 | 2.27653870728203e-09 | 1.13826935364102e-09 |
46 | 0.999999998311524 | 3.37695183462245e-09 | 1.68847591731123e-09 |
47 | 0.999999996782663 | 6.43467306678385e-09 | 3.21733653339192e-09 |
48 | 0.999999998161037 | 3.67792659483786e-09 | 1.83896329741893e-09 |
49 | 0.99999999668908 | 6.62184026834732e-09 | 3.31092013417366e-09 |
50 | 0.99999999457185 | 1.08563019812489e-08 | 5.42815099062444e-09 |
51 | 0.99999998898825 | 2.20234978985561e-08 | 1.10117489492781e-08 |
52 | 0.999999982387154 | 3.522569223316e-08 | 1.761284611658e-08 |
53 | 0.999999999563674 | 8.72651806982666e-10 | 4.36325903491333e-10 |
54 | 0.999999999671935 | 6.56130865091177e-10 | 3.28065432545589e-10 |
55 | 0.999999999606848 | 7.86303400730708e-10 | 3.93151700365354e-10 |
56 | 0.99999999928026 | 1.43947858528738e-09 | 7.1973929264369e-10 |
57 | 0.999999998803044 | 2.39391287254707e-09 | 1.19695643627354e-09 |
58 | 0.99999999784409 | 4.31181916864047e-09 | 2.15590958432023e-09 |
59 | 0.999999998091292 | 3.8174164062075e-09 | 1.90870820310375e-09 |
60 | 0.999999996151609 | 7.6967830954837e-09 | 3.84839154774185e-09 |
61 | 0.999999992247515 | 1.55049698500862e-08 | 7.75248492504308e-09 |
62 | 0.999999989735371 | 2.05292576089287e-08 | 1.02646288044643e-08 |
63 | 0.99999997956483 | 4.08703415244906e-08 | 2.04351707622453e-08 |
64 | 0.99999996066337 | 7.86732586773041e-08 | 3.93366293386521e-08 |
65 | 0.999999922334601 | 1.55330797027269e-07 | 7.76653985136344e-08 |
66 | 0.99999985760439 | 2.8479122032884e-07 | 1.4239561016442e-07 |
67 | 0.99999998781755 | 2.43649013788616e-08 | 1.21824506894308e-08 |
68 | 0.99999999998441 | 3.11822616243542e-11 | 1.55911308121771e-11 |
69 | 0.999999999977107 | 4.57870225873504e-11 | 2.28935112936752e-11 |
70 | 0.9999999999556 | 8.87978042675766e-11 | 4.43989021337883e-11 |
71 | 0.99999999992202 | 1.55961361722597e-10 | 7.79806808612986e-11 |
72 | 0.999999999823608 | 3.52783115184374e-10 | 1.76391557592187e-10 |
73 | 0.999999999845665 | 3.08670444925856e-10 | 1.54335222462928e-10 |
74 | 0.999999999926761 | 1.46477827072092e-10 | 7.3238913536046e-11 |
75 | 0.999999999879534 | 2.40932275286741e-10 | 1.2046613764337e-10 |
76 | 0.999999999811944 | 3.76111435132175e-10 | 1.88055717566088e-10 |
77 | 0.999999999610424 | 7.79152280769157e-10 | 3.89576140384578e-10 |
78 | 0.99999999914946 | 1.70108140760834e-09 | 8.50540703804171e-10 |
79 | 0.999999998750315 | 2.4993693862512e-09 | 1.2496846931256e-09 |
80 | 0.999999998984685 | 2.03063051480199e-09 | 1.01531525740099e-09 |
81 | 0.9999999979845 | 4.03099838241067e-09 | 2.01549919120534e-09 |
82 | 0.999999999297679 | 1.40464248805297e-09 | 7.02321244026483e-10 |
83 | 0.999999998967324 | 2.06535181002839e-09 | 1.03267590501419e-09 |
84 | 0.999999997733684 | 4.53263299862967e-09 | 2.26631649931484e-09 |
85 | 0.999999995020134 | 9.95973214539e-09 | 4.979866072695e-09 |
86 | 0.999999995878015 | 8.24396987393273e-09 | 4.12198493696636e-09 |
87 | 0.999999996157289 | 7.68542207360178e-09 | 3.84271103680089e-09 |
88 | 0.999999992475944 | 1.50481129294862e-08 | 7.52405646474312e-09 |
89 | 0.999999986807448 | 2.63851036870881e-08 | 1.3192551843544e-08 |
90 | 0.999999976982744 | 4.60345111014238e-08 | 2.30172555507119e-08 |
91 | 0.99999995511985 | 8.97603016044486e-08 | 4.48801508022243e-08 |
92 | 0.999999990464477 | 1.90710469146909e-08 | 9.53552345734545e-09 |
93 | 0.999999985895838 | 2.8208323854202e-08 | 1.4104161927101e-08 |
94 | 0.99999998063954 | 3.87209197434196e-08 | 1.93604598717098e-08 |
95 | 0.99999998031848 | 3.93630423647222e-08 | 1.96815211823611e-08 |
96 | 0.999999971318132 | 5.73637356377971e-08 | 2.86818678188986e-08 |
97 | 0.999999935035795 | 1.29928410166601e-07 | 6.49642050833007e-08 |
98 | 0.999999857617895 | 2.84764210670902e-07 | 1.42382105335451e-07 |
99 | 0.999999699843801 | 6.00312397473028e-07 | 3.00156198736514e-07 |
100 | 0.999999899503417 | 2.00993165580683e-07 | 1.00496582790342e-07 |
101 | 0.999999801571443 | 3.968571140301e-07 | 1.9842855701505e-07 |
102 | 0.9999995833922 | 8.33215602147838e-07 | 4.16607801073919e-07 |
103 | 0.999999289512152 | 1.42097569585786e-06 | 7.10487847928929e-07 |
104 | 0.999998454768835 | 3.09046232930646e-06 | 1.54523116465323e-06 |
105 | 0.999998138512632 | 3.72297473538034e-06 | 1.86148736769017e-06 |
106 | 0.99999642482971 | 7.15034058066258e-06 | 3.57517029033129e-06 |
107 | 0.999996933941077 | 6.13211784535752e-06 | 3.06605892267876e-06 |
108 | 0.999994963700196 | 1.00725996071393e-05 | 5.03629980356967e-06 |
109 | 0.99998937662679 | 2.1246746420478e-05 | 1.0623373210239e-05 |
110 | 0.999996883298214 | 6.23340357102679e-06 | 3.1167017855134e-06 |
111 | 0.999993670546508 | 1.26589069832771e-05 | 6.32945349163853e-06 |
112 | 0.999993078519454 | 1.38429610910872e-05 | 6.92148054554361e-06 |
113 | 0.999988293484006 | 2.3413031988399e-05 | 1.17065159941995e-05 |
114 | 0.999998601333023 | 2.79733395463885e-06 | 1.39866697731942e-06 |
115 | 0.99999659169061 | 6.8166187784745e-06 | 3.40830938923725e-06 |
116 | 0.999991740045671 | 1.65199086573028e-05 | 8.25995432865139e-06 |
117 | 0.999991000445037 | 1.79991099263574e-05 | 8.99955496317872e-06 |
118 | 0.999991240019065 | 1.75199618703961e-05 | 8.75998093519805e-06 |
119 | 0.999979271216668 | 4.14575666632989e-05 | 2.07287833316494e-05 |
120 | 0.999985154671362 | 2.96906572767039e-05 | 1.4845328638352e-05 |
121 | 0.999963198585674 | 7.36028286516163e-05 | 3.68014143258081e-05 |
122 | 0.999941938388124 | 0.000116123223752844 | 5.80616118764219e-05 |
123 | 0.999871108652254 | 0.000257782695492022 | 0.000128891347746011 |
124 | 0.99998602832421 | 2.79433515806387e-05 | 1.39716757903194e-05 |
125 | 0.99999626990074 | 7.46019852151022e-06 | 3.73009926075511e-06 |
126 | 0.999992325079866 | 1.5349840267817e-05 | 7.67492013390852e-06 |
127 | 0.999996513187898 | 6.9736242031113e-06 | 3.48681210155565e-06 |
128 | 0.99998691638597 | 2.61672280586266e-05 | 1.30836140293133e-05 |
129 | 0.99999067064787 | 1.86587042585658e-05 | 9.32935212928292e-06 |
130 | 0.999982434560653 | 3.51308786932422e-05 | 1.75654393466211e-05 |
131 | 0.999940025245508 | 0.000119949508983533 | 5.99747544917665e-05 |
132 | 0.99979447852104 | 0.000411042957921687 | 0.000205521478960844 |
133 | 0.999300540728 | 0.00139891854399922 | 0.000699459271999612 |
134 | 0.998535534571014 | 0.00292893085797299 | 0.0014644654289865 |
135 | 0.99458179934873 | 0.0108364013025408 | 0.00541820065127041 |
136 | 0.980976819098865 | 0.0380463618022701 | 0.0190231809011351 |
137 | 0.949602723572061 | 0.100794552855877 | 0.0503972764279386 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 125 | 0.954198473282443 | NOK |
5% type I error level | 128 | 0.977099236641221 | NOK |
10% type I error level | 128 | 0.977099236641221 | NOK |