Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = -146.191332840734 + 14.5939451671559`#Logins`[t] + 11.2202010417296Blogged_Computations[t] + 21.7627534919497Reviewed_Compendiums[t] -2.14638334774361Feedback_in_PR[t] + 1.75781872414354Included_Hyperlinks[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) | -146.191332840734 | 152.901455 | -0.9561 | 0.342669 | 0.171334 |
`#Logins` | 14.5939451671559 | 1.845926 | 7.906 | 0 | 0 |
Blogged_Computations | 11.2202010417296 | 4.318624 | 2.5981 | 0.011658 | 0.005829 |
Reviewed_Compendiums | 21.7627534919497 | 24.823716 | 0.8767 | 0.383985 | 0.191992 |
Feedback_in_PR | -2.14638334774361 | 6.608635 | -0.3248 | 0.74642 | 0.37321 |
Included_Hyperlinks | 1.75781872414354 | 2.582393 | 0.6807 | 0.49856 | 0.24928 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.893951338271024 |
R-squared | 0.799148995196554 |
Adjusted R-squared | 0.783208439259773 |
F-TEST (value) | 50.1330692835242 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 63 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 356.707412752677 |
Sum Squared Residuals | 8016131.23370065 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1536 | 1497.5804811684 | 38.4195188316044 |
2 | 1134 | 1249.33891256477 | -115.338912564774 |
3 | 192 | 116.499680168073 | 75.5003198319269 |
4 | 2032 | 2057.2386325252 | -25.2386325251957 |
5 | 3230 | 3040.2417582802 | 189.758241719803 |
6 | 5723 | 4810.51629728031 | 912.483702719688 |
7 | 1321 | 1306.29360827258 | 14.706391727425 |
8 | 1077 | 1497.31133056744 | -420.311330567437 |
9 | 1462 | 1363.06174453758 | 98.9382554624233 |
10 | 2568 | 2282.50018050632 | 285.499819493677 |
11 | 1810 | 1827.28442232338 | -17.2844223233796 |
12 | 1788 | 1898.64586554566 | -110.645865545658 |
13 | 1334 | 1678.94707815178 | -344.947078151778 |
14 | 2415 | 2055.8253262529 | 359.1746737471 |
15 | 1155 | 1171.654924803 | -16.6549248029995 |
16 | 1374 | 1662.83131521004 | -288.831315210043 |
17 | 1503 | 1908.53247083023 | -405.532470830228 |
18 | 999 | 707.805518718816 | 291.194481281184 |
19 | 2189 | 1969.28404916228 | 219.715950837722 |
20 | 633 | 523.482295940074 | 109.517704059926 |
21 | 837 | 948.593816198119 | -111.593816198119 |
22 | 2167 | 2426.06734520092 | -259.067345200922 |
23 | 1451 | 1389.49523846797 | 61.5047615320291 |
24 | 1790 | 1463.20549401629 | 326.794505983714 |
25 | 1645 | 1794.36431114785 | -149.364311147851 |
26 | 1179 | 881.451675045797 | 297.548324954203 |
27 | 1688 | 2802.02223755087 | -1114.02223755087 |
28 | 1100 | 2117.03418212942 | -1017.03418212942 |
29 | 2258 | 2326.73416024677 | -68.7341602467665 |
30 | 1767 | 1123.06672447015 | 643.933275529849 |
31 | 1300 | 1233.04965496056 | 66.9503450394427 |
32 | 1432 | 1348.41955656495 | 83.5804434350528 |
33 | 1780 | 1820.25469880254 | -40.2546988025395 |
34 | 2475 | 2470.71343910267 | 4.28656089732805 |
35 | 1930 | 1340.202848164 | 589.797151836 |
36 | 1 | -131.597387673578 | 132.597387673578 |
37 | 1782 | 1569.45397115083 | 212.546028849169 |
38 | 1505 | 1291.37601269923 | 213.62398730077 |
39 | 1820 | 1284.04240856311 | 535.957591436887 |
40 | 1648 | 1949.8219498573 | -301.821949857297 |
41 | 1668 | 1790.82857264271 | -122.828572642708 |
42 | 1366 | 1310.72997755831 | 55.2700224416939 |
43 | 864 | 895.81813928477 | -31.8181392847705 |
44 | 1602 | 1626.03964685305 | -24.0396468530493 |
45 | 1023 | 1424.22327517718 | -401.223275177177 |
46 | 962 | 1642.4694289979 | -680.4694289979 |
47 | 629 | 965.349389280697 | -336.349389280697 |
48 | 1568 | 1816.99477225042 | -248.994772250424 |
49 | 1715 | 1840.22803363315 | -125.228033633147 |
50 | 2093 | 1559.55326053542 | 533.446739464581 |
51 | 658 | 724.468148786315 | -66.4681487863146 |
52 | 1198 | 1425.65528569868 | -227.655285698677 |
53 | 2059 | 1890.59082795454 | 168.409172045456 |
54 | 1574 | 1715.77509214583 | -141.77509214583 |
55 | 1447 | 1532.45580181765 | -85.4558018176517 |
56 | 1342 | 1030.52547343988 | 311.47452656012 |
57 | 1526 | 1577.96682146384 | -51.9668214638422 |
58 | 669 | 709.37417056105 | -40.3741705610497 |
59 | 859 | 1461.08448102216 | -602.084481022161 |
60 | 2315 | 1748.23923576759 | 566.760764232409 |
61 | 1326 | 1365.95849373498 | -39.9584937349838 |
62 | 1567 | 1414.63549929672 | 152.364500703283 |
63 | 1080 | 1110.5736043936 | -30.573604393595 |
64 | 896 | 987.743381887167 | -91.7433818871672 |
65 | 855 | 680.193908110915 | 174.806091889085 |
66 | 1229 | 1297.19531612591 | -68.1953161259087 |
67 | 1939 | 1668.69143332592 | 270.308566674082 |
68 | 2293 | 1882.37827011148 | 410.621729888519 |
69 | 818 | 1001.6120286674 | -183.612028667401 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.294279668247638 | 0.588559336495276 | 0.705720331752362 |
10 | 0.183332639859879 | 0.366665279719759 | 0.816667360140121 |
11 | 0.0967649457492315 | 0.193529891498463 | 0.903235054250768 |
12 | 0.0667219438871059 | 0.133443887774212 | 0.933278056112894 |
13 | 0.0768635534040125 | 0.153727106808025 | 0.923136446595987 |
14 | 0.0751762562714919 | 0.150352512542984 | 0.924823743728508 |
15 | 0.0583838275755158 | 0.116767655151032 | 0.941616172424484 |
16 | 0.0338076444163978 | 0.0676152888327955 | 0.966192355583602 |
17 | 0.127865442696444 | 0.255730885392889 | 0.872134557303556 |
18 | 0.113391513906155 | 0.22678302781231 | 0.886608486093845 |
19 | 0.113977989949838 | 0.227955979899676 | 0.886022010050162 |
20 | 0.0819452048174284 | 0.163890409634857 | 0.918054795182572 |
21 | 0.059224790423898 | 0.118449580847796 | 0.940775209576102 |
22 | 0.0505042852995861 | 0.101008570599172 | 0.949495714700414 |
23 | 0.0317758182873383 | 0.0635516365746766 | 0.968224181712662 |
24 | 0.0377647183231323 | 0.0755294366462647 | 0.962235281676868 |
25 | 0.0235459136426497 | 0.0470918272852993 | 0.97645408635735 |
26 | 0.0230759063631916 | 0.0461518127263833 | 0.976924093636808 |
27 | 0.716635717885291 | 0.566728564229419 | 0.283364282114709 |
28 | 0.96032071291529 | 0.079358574169421 | 0.0396792870847105 |
29 | 0.941266899002799 | 0.117466201994401 | 0.0587331009972007 |
30 | 0.972775183007003 | 0.054449633985993 | 0.0272248169929965 |
31 | 0.960561359900776 | 0.0788772801984475 | 0.0394386400992238 |
32 | 0.943281536033909 | 0.113436927932182 | 0.0567184639660908 |
33 | 0.919213066614058 | 0.161573866771884 | 0.0807869333859419 |
34 | 0.893458082626534 | 0.213083834746932 | 0.106541917373466 |
35 | 0.943570759089932 | 0.112858481820137 | 0.0564292409100684 |
36 | 0.924757932875919 | 0.150484134248162 | 0.0752420671240812 |
37 | 0.90321065927686 | 0.19357868144628 | 0.0967893407231402 |
38 | 0.879637414649404 | 0.240725170701192 | 0.120362585350596 |
39 | 0.909990125830971 | 0.180019748338058 | 0.0900098741690289 |
40 | 0.909954828041103 | 0.180090343917794 | 0.0900451719588968 |
41 | 0.877930123235148 | 0.244139753529704 | 0.122069876764852 |
42 | 0.832809098039229 | 0.334381803921542 | 0.167190901960771 |
43 | 0.786425462895262 | 0.427149074209476 | 0.213574537104738 |
44 | 0.727921599530453 | 0.544156800939095 | 0.272078400469547 |
45 | 0.744869611687863 | 0.510260776624274 | 0.255130388312137 |
46 | 0.918274935304596 | 0.163450129390808 | 0.0817250646954038 |
47 | 0.957690466917275 | 0.0846190661654492 | 0.0423095330827246 |
48 | 0.948602185092792 | 0.102795629814415 | 0.0513978149072076 |
49 | 0.919924908989206 | 0.160150182021587 | 0.0800750910107937 |
50 | 0.971314578398531 | 0.0573708432029385 | 0.0286854216014692 |
51 | 0.951388751150256 | 0.0972224976994875 | 0.0486112488497438 |
52 | 0.925094554087173 | 0.149810891825654 | 0.0749054459128271 |
53 | 0.897020168227407 | 0.205959663545186 | 0.102979831772593 |
54 | 0.925532630347148 | 0.148934739305704 | 0.0744673696528522 |
55 | 0.894721674485768 | 0.210556651028463 | 0.105278325514232 |
56 | 0.883523491081364 | 0.232953017837271 | 0.116476508918636 |
57 | 0.807416374933724 | 0.385167250132552 | 0.192583625066276 |
58 | 0.697062581204248 | 0.605874837591504 | 0.302937418795752 |
59 | 0.848529841726906 | 0.302940316546188 | 0.151470158273094 |
60 | 0.774521420383 | 0.450957159234 | 0.225478579617 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 2 | 0.0384615384615385 | OK |
10% type I error level | 11 | 0.211538461538462 | NOK |