| Multiple Linear Regression - Estimated Regression Equation |
| page_views[t] = -57.4869548351689 + 0.00130673820918927time_spent_seconds[t] + 3.68876695255697number_logins[t] + 1.94102689569532number_course_compenium_views[t] + 1.92461501617641number_compendium_views[t] + 18.6085804061399number_compediums_shared[t] + 1.0910171185301number_feedbackmessage_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) | -57.4869548351689 | 35.926502 | -1.6001 | 0.111874 | 0.055937 |
| time_spent_seconds | 0.00130673820918927 | 0.000438 | 2.9837 | 0.003372 | 0.001686 |
| number_logins | 3.68876695255697 | 0.637222 | 5.7888 | 0 | 0 |
| number_course_compenium_views | 1.94102689569532 | 0.122191 | 15.8851 | 0 | 0 |
| number_compendium_views | 1.92461501617641 | 0.392627 | 4.9019 | 3e-06 | 1e-06 |
| number_compediums_shared | 18.6085804061399 | 6.680595 | 2.7855 | 0.006103 | 0.003051 |
| number_feedbackmessage_PR | 1.0910171185301 | 0.559024 | 1.9516 | 0.05302 | 0.02651 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.98162539669506 |
| R-squared | 0.963588419436734 |
| Adjusted R-squared | 0.961993751674839 |
| F-TEST (value) | 604.256536980318 |
| F-TEST (DF numerator) | 6 |
| F-TEST (DF denominator) | 137 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 171.944452783371 |
| Sum Squared Residuals | 4050390.5934873 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1801 | 1918.11256622547 | -117.112566225473 |
| 2 | 1717 | 1669.49662185856 | 47.503378141438 |
| 3 | 192 | 160.017517996397 | 31.9824820036035 |
| 4 | 2295 | 2103.56630817501 | 191.433691824988 |
| 5 | 3450 | 3378.83827678776 | 71.1617232122406 |
| 6 | 6861 | 6067.36985109653 | 793.630148903469 |
| 7 | 1795 | 1806.67994938619 | -11.6799493861871 |
| 8 | 1681 | 1553.92922628681 | 127.070773713186 |
| 9 | 1897 | 1781.08652268469 | 115.913477315312 |
| 10 | 2974 | 2991.8923440367 | -17.8923440366964 |
| 11 | 1946 | 2019.04024067344 | -73.0402406734428 |
| 12 | 2148 | 2111.2977884857 | 36.7022115143015 |
| 13 | 1832 | 1970.79601807449 | -138.796018074491 |
| 14 | 3183 | 3468.40485474478 | -285.404854744775 |
| 15 | 1476 | 1419.30770702149 | 56.6922929785124 |
| 16 | 1567 | 1692.79478469445 | -125.794784694446 |
| 17 | 1756 | 1503.71300169681 | 252.286998303189 |
| 18 | 1247 | 1262.04016688507 | -15.0401668850709 |
| 19 | 2779 | 2613.11775645349 | 165.882243546511 |
| 20 | 726 | 653.089257166396 | 72.9107428336044 |
| 21 | 1048 | 1107.3374671273 | -59.3374671273029 |
| 22 | 2805 | 2582.3513761219 | 222.648623878098 |
| 23 | 1760 | 2059.29275934206 | -299.292759342065 |
| 24 | 2266 | 2103.61521061803 | 162.384789381971 |
| 25 | 1848 | 1750.43848429698 | 97.5615157030217 |
| 26 | 1665 | 1879.90507160071 | -214.905071600706 |
| 27 | 2084 | 2393.04995654301 | -309.04995654301 |
| 28 | 1440 | 1479.48832132878 | -39.4883213287823 |
| 29 | 2741 | 2898.84939719116 | -157.849397191163 |
| 30 | 2112 | 2327.62534161017 | -215.625341610171 |
| 31 | 1684 | 1552.76755560633 | 131.232444393673 |
| 32 | 1616 | 1747.41560638199 | -131.41560638199 |
| 33 | 2227 | 2231.54493283454 | -4.54493283453851 |
| 34 | 3088 | 3254.62977314794 | -166.629773147941 |
| 35 | 2389 | 2237.3546974724 | 151.645302527602 |
| 36 | 1 | -53.7981878826121 | 54.7981878826121 |
| 37 | 2099 | 2610.71730068137 | -511.717300681373 |
| 38 | 1669 | 1684.76053316873 | -15.7605331687256 |
| 39 | 2137 | 2130.45185439637 | 6.54814560363285 |
| 40 | 2153 | 2319.90301782164 | -166.903017821636 |
| 41 | 2390 | 2296.36029198178 | 93.6397080182186 |
| 42 | 1701 | 1850.92142372579 | -149.921423725792 |
| 43 | 983 | 1083.46321164633 | -100.463211646329 |
| 44 | 2161 | 2279.33518740492 | -118.335187404924 |
| 45 | 1276 | 1302.17857625917 | -26.1785762591725 |
| 46 | 1190 | 1323.9259792724 | -133.925979272397 |
| 47 | 745 | 806.84248953666 | -61.8424895366595 |
| 48 | 2330 | 2461.43271788496 | -131.432717884962 |
| 49 | 2289 | 2383.22195385227 | -94.221953852269 |
| 50 | 2639 | 2776.09224147103 | -137.092241471028 |
| 51 | 658 | 667.352293596374 | -9.35229359637444 |
| 52 | 1917 | 1547.95858007058 | 369.041419929421 |
| 53 | 2557 | 2482.09433839741 | 74.9056616025855 |
| 54 | 2026 | 2118.43453313338 | -92.4345331333755 |
| 55 | 1911 | 2007.3585325926 | -96.3585325925997 |
| 56 | 1716 | 1711.38668556909 | 4.61331443090655 |
| 57 | 1852 | 1624.19721068472 | 227.802789315278 |
| 58 | 981 | 1004.10012250076 | -23.1001225007634 |
| 59 | 1177 | 1362.61883214884 | -185.618832148836 |
| 60 | 2833 | 2835.29413122564 | -2.29413122563743 |
| 61 | 1688 | 1695.08701885615 | -7.08701885615113 |
| 62 | 2097 | 2194.41628922761 | -97.4162892276137 |
| 63 | 1331 | 1492.3530322794 | -161.353032279397 |
| 64 | 1244 | 1313.8768103956 | -69.8768103955993 |
| 65 | 1256 | 1302.98755852171 | -46.9875585217058 |
| 66 | 1294 | 1229.25331722319 | 64.7466827768141 |
| 67 | 2303 | 1890.44296671497 | 412.557033285031 |
| 68 | 2897 | 2513.17898102181 | 383.821018978189 |
| 69 | 1103 | 944.287788349339 | 158.712211650661 |
| 70 | 340 | 397.748622358598 | -57.7486223585977 |
| 71 | 2791 | 2985.62909747125 | -194.629097471247 |
| 72 | 1338 | 1424.94294492415 | -86.9429449241527 |
| 73 | 1441 | 1560.9685953337 | -119.968595333699 |
| 74 | 1623 | 1485.72561209805 | 137.274387901948 |
| 75 | 2650 | 2024.29157897939 | 625.708421020609 |
| 76 | 1499 | 1359.9493752697 | 139.050624730301 |
| 77 | 2302 | 2074.65086184467 | 227.349138155329 |
| 78 | 2540 | 2351.84024307743 | 188.159756922575 |
| 79 | 1000 | 1004.2463581553 | -4.24635815530291 |
| 80 | 1234 | 1408.61650318 | -174.616503180003 |
| 81 | 927 | 916.665008298213 | 10.3349917017874 |
| 82 | 2176 | 2383.6724705626 | -207.672470562601 |
| 83 | 957 | 901.611093757317 | 55.3889062426831 |
| 84 | 1551 | 1613.2730767702 | -62.2730767702024 |
| 85 | 1014 | 1069.80583449739 | -55.8058344973949 |
| 86 | 1771 | 1679.40962996108 | 91.5903700389176 |
| 87 | 2613 | 2664.4577866366 | -51.457786636597 |
| 88 | 1205 | 1304.82020378417 | -99.8202037841651 |
| 89 | 1337 | 1460.16722993116 | -123.167229931165 |
| 90 | 1524 | 1751.94618078891 | -227.946180788911 |
| 91 | 1829 | 1918.28827462694 | -89.2882746269399 |
| 92 | 2229 | 2004.03528385948 | 224.964716140518 |
| 93 | 1233 | 1389.72140665769 | -156.721406657692 |
| 94 | 1365 | 1532.72755839504 | -167.727558395044 |
| 95 | 950 | 1035.09815011549 | -85.0981501154928 |
| 96 | 2319 | 2578.2287980988 | -259.2287980988 |
| 97 | 1857 | 1828.19685830898 | 28.8031416910237 |
| 98 | 223 | 173.162387696411 | 49.8376123035895 |
| 99 | 2390 | 2561.17165771076 | -171.171657710764 |
| 100 | 1985 | 2240.94134302424 | -255.941343024237 |
| 101 | 700 | 709.702309147902 | -9.70230914790206 |
| 102 | 1062 | 967.816294110827 | 94.1837058891727 |
| 103 | 1311 | 1379.74901444715 | -68.7490144471489 |
| 104 | 1157 | 1133.24338655683 | 23.7566134431674 |
| 105 | 823 | 755.187119598248 | 67.8128804017524 |
| 106 | 596 | 614.312718511183 | -18.3127185111825 |
| 107 | 1545 | 1411.3089809423 | 133.691019057701 |
| 108 | 1130 | 883.180619023948 | 246.819380976052 |
| 109 | 0 | -57.4869548351691 | 57.4869548351691 |
| 110 | 1082 | 1035.48918729086 | 46.5108127091444 |
| 111 | 1135 | 1242.49063593559 | -107.49063593559 |
| 112 | 1367 | 1404.22974761478 | -37.2297476147814 |
| 113 | 1506 | 1490.43442218853 | 15.5655778114738 |
| 114 | 870 | 1044.17509956496 | -174.175099564963 |
| 115 | 78 | 2.47949691266066 | 75.5205030873393 |
| 116 | 0 | -57.4869548351691 | 57.4869548351691 |
| 117 | 1130 | 1323.55380094004 | -193.553800940044 |
| 118 | 1582 | 1806.81029498449 | -224.810294984491 |
| 119 | 2034 | 2010.08291341457 | 23.9170865854324 |
| 120 | 919 | 997.872108302392 | -78.8721083023922 |
| 121 | 778 | 760.628773842057 | 17.3712261579428 |
| 122 | 1752 | 1784.82191721619 | -32.8219172161945 |
| 123 | 957 | 903.672752009845 | 53.3272479901553 |
| 124 | 2098 | 1894.14715430305 | 203.852845696948 |
| 125 | 731 | 670.859315983562 | 60.1406840164378 |
| 126 | 285 | 222.086042400813 | 62.9139575991873 |
| 127 | 1834 | 1726.432746388 | 107.567253611995 |
| 128 | 1148 | 1238.19184564358 | -90.1918456435829 |
| 129 | 1646 | 1713.89472952687 | -67.8947295268739 |
| 130 | 256 | 195.537023717492 | 60.4629762825076 |
| 131 | 98 | 67.1862640539103 | 30.8137359460897 |
| 132 | 1404 | 1400.73024311232 | 3.26975688767595 |
| 133 | 41 | -2.14935217182938 | 43.1493521718294 |
| 134 | 1824 | 1882.81968489204 | -58.8196848920395 |
| 135 | 42 | -26.1619914325192 | 68.1619914325192 |
| 136 | 528 | 508.654568376995 | 19.3454316230051 |
| 137 | 0 | -57.4869548351691 | 57.4869548351691 |
| 138 | 1073 | 1118.03644938931 | -45.0364493893098 |
| 139 | 1305 | 902.692710854725 | 402.307289145275 |
| 140 | 81 | 37.6027697347009 | 43.3972302652991 |
| 141 | 261 | 245.88654211042 | 15.1134578895802 |
| 142 | 934 | 812.272094145594 | 121.727905854406 |
| 143 | 1180 | 1058.1487799976 | 121.851220002398 |
| 144 | 1147 | 1158.59729936627 | -11.5972993662697 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 10 | 0.927784643901138 | 0.144430712197724 | 0.0722153560988618 |
| 11 | 0.862719736706342 | 0.274560526587317 | 0.137280263293658 |
| 12 | 0.778800681700132 | 0.442398636599735 | 0.221199318299868 |
| 13 | 0.743447146341325 | 0.51310570731735 | 0.256552853658675 |
| 14 | 0.661110265405769 | 0.677779469188462 | 0.338889734594231 |
| 15 | 0.713295798789645 | 0.57340840242071 | 0.286704201210355 |
| 16 | 0.657803690332348 | 0.684392619335305 | 0.342196309667652 |
| 17 | 0.72306082698489 | 0.553878346030221 | 0.27693917301511 |
| 18 | 0.781069269580065 | 0.43786146083987 | 0.218930730419935 |
| 19 | 0.789355785023571 | 0.421288429952859 | 0.210644214976429 |
| 20 | 0.782854462923301 | 0.434291074153398 | 0.217145537076699 |
| 21 | 0.738727167930748 | 0.522545664138505 | 0.261272832069252 |
| 22 | 0.704452142662615 | 0.591095714674769 | 0.295547857337385 |
| 23 | 0.887507372516426 | 0.224985254967149 | 0.112492627483574 |
| 24 | 0.925489380435857 | 0.149021239128287 | 0.0745106195641434 |
| 25 | 0.902118239713505 | 0.195763520572991 | 0.0978817602864954 |
| 26 | 0.89151991193556 | 0.21696017612888 | 0.10848008806444 |
| 27 | 0.976382034573909 | 0.047235930852182 | 0.023617965426091 |
| 28 | 0.965887980099464 | 0.0682240398010714 | 0.0341120199005357 |
| 29 | 0.980058066473719 | 0.0398838670525625 | 0.0199419335262813 |
| 30 | 0.988936069879336 | 0.0221278602413282 | 0.0110639301206641 |
| 31 | 0.987042074505196 | 0.0259158509896076 | 0.0129579254948038 |
| 32 | 0.982419990000677 | 0.0351600199986457 | 0.0175800099993228 |
| 33 | 0.975258590611402 | 0.0494828187771961 | 0.024741409388598 |
| 34 | 0.967027177019992 | 0.0659456459600164 | 0.0329728229800082 |
| 35 | 0.961915080841793 | 0.0761698383164146 | 0.0380849191582073 |
| 36 | 0.963087713954489 | 0.0738245720910229 | 0.0369122860455115 |
| 37 | 0.998553926807572 | 0.00289214638485597 | 0.00144607319242799 |
| 38 | 0.9978302673473 | 0.0043394653053993 | 0.00216973265269965 |
| 39 | 0.996879061076728 | 0.0062418778465443 | 0.00312093892327215 |
| 40 | 0.996700382724846 | 0.00659923455030719 | 0.00329961727515359 |
| 41 | 0.995757908480138 | 0.00848418303972311 | 0.00424209151986155 |
| 42 | 0.995080838414677 | 0.00983832317064667 | 0.00491916158532333 |
| 43 | 0.993471137115574 | 0.0130577257688523 | 0.00652886288442614 |
| 44 | 0.99161801726776 | 0.0167639654644793 | 0.00838198273223964 |
| 45 | 0.988221952423766 | 0.0235560951524679 | 0.011778047576234 |
| 46 | 0.986341503527463 | 0.0273169929450738 | 0.0136584964725369 |
| 47 | 0.982213791512544 | 0.0355724169749125 | 0.0177862084874562 |
| 48 | 0.978968575478327 | 0.0420628490433454 | 0.0210314245216727 |
| 49 | 0.973388991349961 | 0.0532220173000775 | 0.0266110086500388 |
| 50 | 0.96900829174658 | 0.0619834165068393 | 0.0309917082534196 |
| 51 | 0.960309803724501 | 0.0793803925509983 | 0.0396901962754992 |
| 52 | 0.988260296492393 | 0.0234794070152138 | 0.0117397035076069 |
| 53 | 0.985851675563955 | 0.0282966488720895 | 0.0141483244360447 |
| 54 | 0.981654198251422 | 0.0366916034971565 | 0.0183458017485782 |
| 55 | 0.97653472770575 | 0.0469305445885 | 0.02346527229425 |
| 56 | 0.968969759056977 | 0.0620604818860455 | 0.0310302409430227 |
| 57 | 0.978243228511389 | 0.0435135429772213 | 0.0217567714886106 |
| 58 | 0.972447995774073 | 0.0551040084518545 | 0.0275520042259273 |
| 59 | 0.971580995740248 | 0.056838008519503 | 0.0284190042597515 |
| 60 | 0.962702138975531 | 0.0745957220489381 | 0.0372978610244691 |
| 61 | 0.952390145061829 | 0.0952197098763429 | 0.0476098549381714 |
| 62 | 0.941607739367225 | 0.116784521265551 | 0.0583922606327754 |
| 63 | 0.947691899862395 | 0.104616200275211 | 0.0523081001376053 |
| 64 | 0.938787937508199 | 0.122424124983602 | 0.0612120624918008 |
| 65 | 0.922876155805369 | 0.154247688389263 | 0.0771238441946315 |
| 66 | 0.908303368148801 | 0.183393263702398 | 0.0916966318511991 |
| 67 | 0.964066589758842 | 0.0718668204823159 | 0.0359334102411579 |
| 68 | 0.990957794177578 | 0.0180844116448442 | 0.00904220582242212 |
| 69 | 0.990374590073253 | 0.0192508198534948 | 0.0096254099267474 |
| 70 | 0.988497581067406 | 0.0230048378651873 | 0.0115024189325937 |
| 71 | 0.986981222028403 | 0.026037555943195 | 0.0130187779715975 |
| 72 | 0.982485757667426 | 0.0350284846651471 | 0.0175142423325736 |
| 73 | 0.981382068732438 | 0.0372358625351233 | 0.0186179312675617 |
| 74 | 0.981685615848635 | 0.0366287683027302 | 0.0183143841513651 |
| 75 | 0.999945649851312 | 0.000108700297376676 | 5.4350148688338e-05 |
| 76 | 0.999930587196789 | 0.000138825606421966 | 6.94128032109832e-05 |
| 77 | 0.999977338433149 | 4.53231337020555e-05 | 2.26615668510278e-05 |
| 78 | 0.999997032710232 | 5.93457953641647e-06 | 2.96728976820823e-06 |
| 79 | 0.999994548133867 | 1.09037322668884e-05 | 5.4518661334442e-06 |
| 80 | 0.999994834176544 | 1.03316469127386e-05 | 5.1658234563693e-06 |
| 81 | 0.999990659362504 | 1.86812749914953e-05 | 9.34063749574766e-06 |
| 82 | 0.999990015560347 | 1.99688793052624e-05 | 9.98443965263122e-06 |
| 83 | 0.999983098694426 | 3.38026111478891e-05 | 1.69013055739446e-05 |
| 84 | 0.999970299014468 | 5.94019710632313e-05 | 2.97009855316156e-05 |
| 85 | 0.999949678789334 | 0.000100642421331484 | 5.03212106657422e-05 |
| 86 | 0.999947620151485 | 0.00010475969702934 | 5.23798485146699e-05 |
| 87 | 0.999955186266112 | 8.96274677756105e-05 | 4.48137338878053e-05 |
| 88 | 0.999926403218629 | 0.000147193562741946 | 7.3596781370973e-05 |
| 89 | 0.999959168469663 | 8.16630606734736e-05 | 4.08315303367368e-05 |
| 90 | 0.999956824321091 | 8.63513578187509e-05 | 4.31756789093755e-05 |
| 91 | 0.999953745850022 | 9.25082999556601e-05 | 4.625414997783e-05 |
| 92 | 0.999997252734556 | 5.49453088829393e-06 | 2.74726544414696e-06 |
| 93 | 0.999997437647887 | 5.12470422605112e-06 | 2.56235211302556e-06 |
| 94 | 0.999995878800772 | 8.24239845524576e-06 | 4.12119922762288e-06 |
| 95 | 0.999991938730321 | 1.61225393579491e-05 | 8.06126967897455e-06 |
| 96 | 0.999993120042575 | 1.37599148509451e-05 | 6.87995742547256e-06 |
| 97 | 0.999989592714955 | 2.08145700896183e-05 | 1.04072850448091e-05 |
| 98 | 0.999981808325318 | 3.63833493633457e-05 | 1.81916746816728e-05 |
| 99 | 0.999971540468119 | 5.69190637625876e-05 | 2.84595318812938e-05 |
| 100 | 0.999960137961839 | 7.9724076321086e-05 | 3.9862038160543e-05 |
| 101 | 0.999928005050427 | 0.000143989899146056 | 7.19949495730278e-05 |
| 102 | 0.999900858087372 | 0.000198283825255565 | 9.91419126277824e-05 |
| 103 | 0.999833159095702 | 0.000333681808595598 | 0.000166840904297799 |
| 104 | 0.999700895213653 | 0.000598209572694544 | 0.000299104786347272 |
| 105 | 0.999497468653061 | 0.0010050626938772 | 0.000502531346938602 |
| 106 | 0.999162565668275 | 0.00167486866344939 | 0.000837434331724695 |
| 107 | 0.998817690841652 | 0.00236461831669698 | 0.00118230915834849 |
| 108 | 0.999775740406053 | 0.000448519187894575 | 0.000224259593947287 |
| 109 | 0.999597146433206 | 0.00080570713358744 | 0.00040285356679372 |
| 110 | 0.999267892173124 | 0.00146421565375163 | 0.000732107826875814 |
| 111 | 0.998879549327663 | 0.00224090134467398 | 0.00112045067233699 |
| 112 | 0.998015141232451 | 0.00396971753509792 | 0.00198485876754896 |
| 113 | 0.996865094349231 | 0.00626981130153885 | 0.00313490565076942 |
| 114 | 0.9975770001272 | 0.00484599974560068 | 0.00242299987280034 |
| 115 | 0.995880140850049 | 0.00823971829990244 | 0.00411985914995122 |
| 116 | 0.993101995472565 | 0.0137960090548707 | 0.00689800452743533 |
| 117 | 0.993624626490306 | 0.0127507470193876 | 0.00637537350969381 |
| 118 | 0.998055452287855 | 0.00388909542429092 | 0.00194454771214546 |
| 119 | 0.997007591005646 | 0.00598481798870792 | 0.00299240899435396 |
| 120 | 0.996707957326571 | 0.00658408534685755 | 0.00329204267342877 |
| 121 | 0.996182628358976 | 0.00763474328204832 | 0.00381737164102416 |
| 122 | 0.993047798921676 | 0.0139044021566469 | 0.00695220107832347 |
| 123 | 0.987650129184663 | 0.0246997416306747 | 0.0123498708153373 |
| 124 | 0.980045821993109 | 0.039908356013783 | 0.0199541780068915 |
| 125 | 0.978767765249836 | 0.0424644695003281 | 0.021232234750164 |
| 126 | 0.962231172956557 | 0.0755376540868858 | 0.0377688270434429 |
| 127 | 0.975871982685874 | 0.0482560346282509 | 0.0241280173141255 |
| 128 | 0.96121992586602 | 0.0775601482679604 | 0.0387800741339802 |
| 129 | 0.948662247667115 | 0.102675504665769 | 0.0513377523328847 |
| 130 | 0.906023335451507 | 0.187953329096985 | 0.0939766645484926 |
| 131 | 0.838387278943888 | 0.323225442112225 | 0.161612721056112 |
| 132 | 0.921743247598203 | 0.156513504803595 | 0.0782567524017973 |
| 133 | 0.841067303576805 | 0.31786539284639 | 0.158932696423195 |
| 134 | 0.768021979387081 | 0.463956041225837 | 0.231978020612918 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 51 | 0.408 | NOK |
| 5% type I error level | 82 | 0.656 | NOK |
| 10% type I error level | 97 | 0.776 | NOK |
