Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = + 8.01709159766136 + 21.792624199423Month[t] + 2.04610860164739CourseCompView[t] + 0.974878915341512CompendiumView_PR[t] + 1.69908151382348t + 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) | 8.01709159766136 | 307.726044 | 0.0261 | 0.97931 | 0.489655 |
Month | 21.792624199423 | 31.324769 | 0.6957 | 0.489546 | 0.244773 |
CourseCompView | 2.04610860164739 | 0.099475 | 20.569 | 0 | 0 |
CompendiumView_PR | 0.974878915341512 | 0.369046 | 2.6416 | 0.010722 | 0.005361 |
t | 1.69908151382348 | 1.340826 | 1.2672 | 0.210427 | 0.105213 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.963980656356215 |
R-squared | 0.929258705828958 |
Adjusted R-squared | 0.924113884434701 |
F-TEST (value) | 180.620207120534 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 55 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 178.154712272598 |
Sum Squared Residuals | 1745650.58277127 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1167 | 955.445479328781 | 211.554520671219 |
2 | 669 | 706.725762862511 | -37.7257628625107 |
3 | 1053 | 1002.47500718207 | 50.5249928179255 |
4 | 1939 | 2113.21043561158 | -174.210435611578 |
5 | 678 | 622.468684328246 | 55.5313156717536 |
6 | 321 | 463.885468311125 | -142.885468311125 |
7 | 2667 | 2895.56201859809 | -228.562018598089 |
8 | 345 | 486.259340768832 | -141.259340768832 |
9 | 1367 | 1484.5210332616 | -117.521033261599 |
10 | 1158 | 1152.01858610445 | 5.98141389555102 |
11 | 1385 | 1395.81556539886 | -10.8155653988635 |
12 | 1155 | 1039.62697196062 | 115.373028039376 |
13 | 1120 | 1156.26604631779 | -36.2660463177923 |
14 | 1703 | 1713.84358328865 | -10.8435832886544 |
15 | 1189 | 1063.97885892283 | 125.021141077167 |
16 | 3083 | 2684.04749216393 | 398.952507836072 |
17 | 1357 | 1284.33214067982 | 72.6678593201813 |
18 | 1892 | 1886.33459105544 | 5.66540894456048 |
19 | 883 | 998.899823540342 | -115.899823540342 |
20 | 1627 | 1311.12565864975 | 315.874341350252 |
21 | 1412 | 1303.09869342155 | 108.901306578448 |
22 | 1900 | 2028.83116760566 | -128.83116760566 |
23 | 777 | 817.619367853238 | -40.6193678532378 |
24 | 904 | 912.079163043642 | -8.07916304364244 |
25 | 2115 | 2108.65480197137 | 6.3451980286285 |
26 | 1858 | 1765.17312777019 | 92.8268722298076 |
27 | 1781 | 1751.18916707329 | 29.8108329267149 |
28 | 1286 | 1110.2060749222 | 175.7939250778 |
29 | 1035 | 1140.05755179857 | -105.057551798567 |
30 | 1557 | 1554.62293060744 | 2.37706939256371 |
31 | 1527 | 1550.98798582165 | -23.9879858216535 |
32 | 1220 | 1160.91681671118 | 59.0831832888191 |
33 | 1368 | 1403.94899124273 | -35.9489912427348 |
34 | 564 | 636.272375398673 | -72.2723753986733 |
35 | 1990 | 2016.96367485757 | -26.9636748575744 |
36 | 1557 | 1681.93336524395 | -124.933365243955 |
37 | 2057 | 1875.93791149638 | 181.062088503617 |
38 | 1111 | 1080.5217953064 | 30.4782046935977 |
39 | 686 | 774.482294177756 | -88.482294177756 |
40 | 2011 | 1901.77392316152 | 109.226076838477 |
41 | 2232 | 2538.93425164331 | -306.934251643309 |
42 | 1032 | 1236.7241643039 | -204.724164303904 |
43 | 1166 | 1252.64965525829 | -86.6496552582948 |
44 | 1020 | 936.612427685288 | 83.387572314712 |
45 | 1735 | 2067.54201195029 | -332.542011950295 |
46 | 3623 | 3784.46480530567 | -161.464805305671 |
47 | 918 | 1036.5841014597 | -118.584101459701 |
48 | 1579 | 1337.11138958501 | 241.888610414991 |
49 | 2790 | 2530.903607081 | 259.096392919004 |
50 | 1496 | 1704.19501482912 | -208.195014829123 |
51 | 1108 | 1032.83808978247 | 75.1619102175303 |
52 | 496 | 779.844825776675 | -283.844825776675 |
53 | 1750 | 1581.78781448795 | 168.212185512046 |
54 | 744 | 859.923885980617 | -115.923885980617 |
55 | 1101 | 1271.74595837969 | -170.745958379692 |
56 | 1612 | 1683.27360866503 | -71.2736086650307 |
57 | 1805 | 1332.65660761164 | 472.343392388355 |
58 | 2460 | 1997.44808285868 | 462.551917141322 |
59 | 1653 | 1759.00977534882 | -106.009775348818 |
60 | 1234 | 1311.63619418652 | -77.6361941865209 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.263777945633968 | 0.527555891267935 | 0.736222054366032 |
9 | 0.202218342710783 | 0.404436685421566 | 0.797781657289217 |
10 | 0.238481492911506 | 0.476962985823012 | 0.761518507088494 |
11 | 0.146466052745173 | 0.292932105490347 | 0.853533947254827 |
12 | 0.123948412138132 | 0.247896824276264 | 0.876051587861868 |
13 | 0.131425164122094 | 0.262850328244187 | 0.868574835877907 |
14 | 0.0955230820287743 | 0.191046164057549 | 0.904476917971226 |
15 | 0.0844145375573622 | 0.168829075114724 | 0.915585462442638 |
16 | 0.41024664800927 | 0.82049329601854 | 0.58975335199073 |
17 | 0.320296305209697 | 0.640592610419394 | 0.679703694790303 |
18 | 0.254746572911312 | 0.509493145822625 | 0.745253427088688 |
19 | 0.236016109640134 | 0.472032219280267 | 0.763983890359866 |
20 | 0.332594540521603 | 0.665189081043205 | 0.667405459478397 |
21 | 0.270944042097455 | 0.541888084194909 | 0.729055957902546 |
22 | 0.289065029862097 | 0.578130059724194 | 0.710934970137903 |
23 | 0.246987399434516 | 0.493974798869031 | 0.753012600565484 |
24 | 0.189735157474881 | 0.379470314949762 | 0.810264842525119 |
25 | 0.139991513922974 | 0.279983027845948 | 0.860008486077026 |
26 | 0.104777597346281 | 0.209555194692561 | 0.895222402653719 |
27 | 0.073507218237265 | 0.14701443647453 | 0.926492781762735 |
28 | 0.0668641601858527 | 0.133728320371705 | 0.933135839814147 |
29 | 0.0582251065166205 | 0.116450213033241 | 0.94177489348338 |
30 | 0.040125660469856 | 0.080251320939712 | 0.959874339530144 |
31 | 0.0275166506292574 | 0.0550333012585148 | 0.972483349370743 |
32 | 0.0193821876532087 | 0.0387643753064174 | 0.980617812346791 |
33 | 0.013077081170888 | 0.0261541623417759 | 0.986922918829112 |
34 | 0.00822277709330395 | 0.0164455541866079 | 0.991777222906696 |
35 | 0.00466059547467767 | 0.00932119094935534 | 0.995339404525322 |
36 | 0.00307586636879628 | 0.00615173273759256 | 0.996924133631204 |
37 | 0.0039327111384556 | 0.0078654222769112 | 0.996067288861544 |
38 | 0.00253062067918433 | 0.00506124135836867 | 0.997469379320816 |
39 | 0.00169458236673733 | 0.00338916473347467 | 0.998305417633263 |
40 | 0.00177945674926079 | 0.00355891349852158 | 0.998220543250739 |
41 | 0.00309779364549172 | 0.00619558729098344 | 0.996902206354508 |
42 | 0.00261040343414787 | 0.00522080686829573 | 0.997389596565852 |
43 | 0.00139586306070668 | 0.00279172612141336 | 0.998604136939293 |
44 | 0.000962341640129254 | 0.00192468328025851 | 0.999037658359871 |
45 | 0.00756095365525505 | 0.0151219073105101 | 0.992439046344745 |
46 | 0.0544983848344676 | 0.108996769668935 | 0.945501615165532 |
47 | 0.11756743371986 | 0.235134867439719 | 0.88243256628014 |
48 | 0.106666409774917 | 0.213332819549834 | 0.893333590225083 |
49 | 0.109968773310557 | 0.219937546621115 | 0.890031226689443 |
50 | 0.0742498736140255 | 0.148499747228051 | 0.925750126385975 |
51 | 0.0466097507808094 | 0.0932195015616189 | 0.953390249219191 |
52 | 0.0983889666907637 | 0.196777933381527 | 0.901611033309236 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 10 | 0.222222222222222 | NOK |
5% type I error level | 14 | 0.311111111111111 | NOK |
10% type I error level | 17 | 0.377777777777778 | NOK |