Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = + 49.2453233220301 + 22.1855298695415Month[t] + 2.05551752745588CourseCompView[t] + 1.00098910569763CompendiumView_PR[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) | 49.2453233220301 | 307.651881 | 0.1601 | 0.873403 | 0.436702 |
Month | 22.1855298695415 | 31.492196 | 0.7045 | 0.484055 | 0.242028 |
CourseCompView | 2.05551752745588 | 0.099733 | 20.6102 | 0 | 0 |
CompendiumView_PR | 1.00098910569763 | 0.370458 | 2.702 | 0.009104 | 0.004552 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.962908799345825 |
R-squared | 0.927193355857618 |
Adjusted R-squared | 0.923292999921419 |
F-TEST (value) | 237.720190419641 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 56 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 179.115698841929 |
Sum Squared Residuals | 1796616.28001142 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1167 | 1003.47166618955 | 163.528333810454 |
2 | 669 | 751.33902142126 | -82.33902142126 |
3 | 1053 | 1046.54671353345 | 6.45328646654926 |
4 | 1939 | 2162.4995971949 | -223.499597194903 |
5 | 678 | 661.271025425626 | 16.7289745743743 |
6 | 321 | 500.100287126552 | -179.100287126552 |
7 | 2667 | 2942.04200344069 | -275.042003440692 |
8 | 345 | 519.801984940152 | -174.801984940152 |
9 | 1367 | 1521.35815607232 | -154.358156072317 |
10 | 1158 | 1185.46842793949 | -27.4684279394929 |
11 | 1385 | 1429.27507556184 | -44.275075561845 |
12 | 1155 | 1069.2009909441 | 85.799009055904 |
13 | 1120 | 1184.10576992481 | -64.1057699248133 |
14 | 1703 | 1743.29735812548 | -40.2973581254792 |
15 | 1189 | 1087.76414271469 | 101.23585728531 |
16 | 3083 | 2714.97136773145 | 368.028632268546 |
17 | 1357 | 1306.11774816612 | 50.8822518338837 |
18 | 1892 | 1909.74389012936 | -17.7438901293564 |
19 | 883 | 1016.07877112661 | -133.078771126607 |
20 | 1627 | 1328.2497387196 | 298.750261280403 |
21 | 1412 | 1319.1710395528 | 92.8289604471961 |
22 | 1900 | 2046.663626324 | -146.663626324003 |
23 | 777 | 826.659877411733 | -49.6598774117329 |
24 | 904 | 919.998537304763 | -15.9985373047632 |
25 | 2115 | 2122.2296178033 | -7.22961780330133 |
26 | 1858 | 1774.24035126545 | 83.7596487345497 |
27 | 1781 | 1758.63658220332 | 22.3634177966809 |
28 | 1286 | 1112.63140400496 | 173.368595995039 |
29 | 1035 | 1140.67535686395 | -105.675356863948 |
30 | 1557 | 1557.01898866501 | -0.0189886650073366 |
31 | 1527 | 1550.35271031695 | -23.3527103169532 |
32 | 1220 | 1157.21346941227 | 62.7865305877255 |
33 | 1368 | 1399.24540239092 | -31.2454023909159 |
34 | 564 | 625.48685630136 | -61.48685630136 |
35 | 1990 | 2011.31772643565 | -21.3177264356524 |
36 | 1557 | 1673.10478419507 | -116.10478419507 |
37 | 2057 | 1866.73864000096 | 190.261359999035 |
38 | 1111 | 1065.56865813772 | 45.431341862282 |
39 | 686 | 756.296730825711 | -70.2967308257111 |
40 | 2011 | 1886.98883727861 | 124.011162721386 |
41 | 2232 | 2525.30733852775 | -293.307338527755 |
42 | 1032 | 1215.67182536205 | -183.671825362046 |
43 | 1166 | 1230.00690873818 | -64.0069087381765 |
44 | 1020 | 910.61486014106 | 109.38513985894 |
45 | 1735 | 2045.56866488963 | -310.568664889626 |
46 | 3623 | 3780.35846541821 | -157.358465418214 |
47 | 918 | 1006.47778510265 | -88.4777851026497 |
48 | 1579 | 1306.63688342727 | 272.363116572732 |
49 | 2790 | 2505.45609157569 | 284.543908424306 |
50 | 1496 | 1672.20091901406 | -176.200919014063 |
51 | 1108 | 995.108387627005 | 112.891612372995 |
52 | 496 | 739.223225116779 | -243.223225116779 |
53 | 1750 | 1543.96884887433 | 206.031151125669 |
54 | 744 | 816.278362738344 | -72.278362738344 |
55 | 1101 | 1229.26050990934 | -128.26050990934 |
56 | 1612 | 1640.27004307184 | -28.2700430718363 |
57 | 1805 | 1286.50687108518 | 518.493128914817 |
58 | 2460 | 1954.87606902241 | 505.123930977594 |
59 | 1653 | 1711.21216742709 | -58.2121674270943 |
60 | 1234 | 1260.05283980856 | -26.0528398085595 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.526835157945816 | 0.946329684108367 | 0.473164842054183 |
8 | 0.404192685970795 | 0.808385371941591 | 0.595807314029205 |
9 | 0.279461809293355 | 0.55892361858671 | 0.720538190706645 |
10 | 0.225640922478958 | 0.451281844957916 | 0.774359077521042 |
11 | 0.169073008968748 | 0.338146017937495 | 0.830926991031252 |
12 | 0.152545341183047 | 0.305090682366094 | 0.847454658816953 |
13 | 0.0958112689513379 | 0.191622537902676 | 0.904188731048662 |
14 | 0.0641681819997813 | 0.128336363999563 | 0.935831818000219 |
15 | 0.0688819492085258 | 0.137763898417052 | 0.931118050791474 |
16 | 0.477749063000767 | 0.955498126001534 | 0.522250936999233 |
17 | 0.399106500492279 | 0.798213000984559 | 0.600893499507721 |
18 | 0.312949909443282 | 0.625899818886564 | 0.687050090556718 |
19 | 0.26690071504854 | 0.53380143009708 | 0.73309928495146 |
20 | 0.406336199533618 | 0.812672399067236 | 0.593663800466382 |
21 | 0.33744531801545 | 0.674890636030899 | 0.66255468198455 |
22 | 0.321355254237855 | 0.64271050847571 | 0.678644745762145 |
23 | 0.253745371192461 | 0.507490742384922 | 0.746254628807539 |
24 | 0.193664823713488 | 0.387329647426975 | 0.806335176286512 |
25 | 0.1430901778816 | 0.286180355763199 | 0.8569098221184 |
26 | 0.111295150335699 | 0.222590300671399 | 0.888704849664301 |
27 | 0.0778052229155717 | 0.155610445831143 | 0.922194777084428 |
28 | 0.0760798257433368 | 0.152159651486674 | 0.923920174256663 |
29 | 0.0586795442069838 | 0.117359088413968 | 0.941320455793016 |
30 | 0.0386150757239664 | 0.0772301514479328 | 0.961384924276034 |
31 | 0.0249116441276625 | 0.0498232882553251 | 0.975088355872337 |
32 | 0.0162376667748932 | 0.0324753335497864 | 0.983762333225107 |
33 | 0.00991634285164733 | 0.0198326857032947 | 0.990083657148353 |
34 | 0.0061610116201964 | 0.0123220232403928 | 0.993838988379804 |
35 | 0.00354896026267312 | 0.00709792052534624 | 0.996451039737327 |
36 | 0.00254928949185445 | 0.0050985789837089 | 0.997450710508146 |
37 | 0.00286421788453251 | 0.00572843576906503 | 0.997135782115467 |
38 | 0.00158742422370329 | 0.00317484844740658 | 0.998412575776297 |
39 | 0.000889116972855971 | 0.00177823394571194 | 0.999110883027144 |
40 | 0.000639235804805172 | 0.00127847160961034 | 0.999360764195195 |
41 | 0.00186918477394227 | 0.00373836954788453 | 0.998130815226058 |
42 | 0.00221827390861276 | 0.00443654781722552 | 0.997781726091387 |
43 | 0.00148423036359922 | 0.00296846072719844 | 0.998515769636401 |
44 | 0.000905546266724714 | 0.00181109253344943 | 0.999094453733275 |
45 | 0.00724671541506233 | 0.0144934308301247 | 0.992753284584938 |
46 | 0.0442947982856348 | 0.0885895965712696 | 0.955705201714365 |
47 | 0.0344197392247999 | 0.0688394784495998 | 0.9655802607752 |
48 | 0.0527969539337013 | 0.105593907867403 | 0.947203046066299 |
49 | 0.0679788724009231 | 0.135957744801846 | 0.932021127599077 |
50 | 0.0451037525913347 | 0.0902075051826694 | 0.954896247408665 |
51 | 0.048992823727427 | 0.097985647454854 | 0.951007176272573 |
52 | 0.0422754291955552 | 0.0845508583911105 | 0.957724570804445 |
53 | 0.178156801505211 | 0.356313603010421 | 0.821843198494789 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 10 | 0.212765957446809 | NOK |
5% type I error level | 15 | 0.319148936170213 | NOK |
10% type I error level | 21 | 0.446808510638298 | NOK |