| Multiple Linear Regression - Estimated Regression Equation |
| Pageviews[t] = + 61.1133554838062 + 123.682191483255Pop[t] + 4.8328440134903t + 0.084840891490896Pop_t[t] + 2.05542151213013CourseCompView[t] + 0.936910435140116CompendiumView_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) | 61.1133554838062 | 181.505305 | 0.3367 | 0.737646 | 0.368823 |
| Pop | 123.682191483255 | 187.008946 | 0.6614 | 0.511187 | 0.255593 |
| t | 4.8328440134903 | 3.766607 | 1.2831 | 0.204945 | 0.102472 |
| Pop_t | 0.084840891490896 | 5.337396 | 0.0159 | 0.987376 | 0.493688 |
| CourseCompView | 2.05542151213013 | 0.098892 | 20.7844 | 0 | 0 |
| CompendiumView_PR | 0.936910435140116 | 0.368506 | 2.5425 | 0.013908 | 0.006954 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.964910804230803 |
| R-squared | 0.931052860121335 |
| Adjusted R-squared | 0.924668865688125 |
| F-TEST (value) | 145.841740600207 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 54 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 177.502063490688 |
| Sum Squared Residuals | 1701377.05734642 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1167 | 939.752325871184 | 227.247674128816 |
| 2 | 669 | 694.213973128208 | -25.2139731282076 |
| 3 | 1053 | 994.901847912187 | 58.0981520878129 |
| 4 | 1939 | 2110.34160845826 | -171.341608458263 |
| 5 | 678 | 619.799685802375 | 58.2003141976252 |
| 6 | 321 | 464.002384251616 | -143.002384251616 |
| 7 | 2667 | 2887.09049230855 | -220.09049230855 |
| 8 | 345 | 470.329527414649 | -125.329527414649 |
| 9 | 1367 | 1475.53999338549 | -108.539993385494 |
| 10 | 1158 | 1145.03186330367 | 12.9681366963265 |
| 11 | 1385 | 1370.66386702576 | 14.3361329742407 |
| 12 | 1155 | 1017.12508457503 | 137.874915424973 |
| 13 | 1120 | 1181.24713634917 | -61.2471363491679 |
| 14 | 1703 | 1743.08917207724 | -40.0891720772359 |
| 15 | 1189 | 1095.38569829826 | 93.6143017017364 |
| 16 | 3083 | 2701.98447856577 | 381.015521434232 |
| 17 | 1357 | 1301.05982091203 | 55.9401790879714 |
| 18 | 1892 | 1907.91062203922 | -15.9106220392191 |
| 19 | 883 | 999.197523445611 | -116.197523445611 |
| 20 | 1627 | 1315.63127498512 | 311.368725014878 |
| 21 | 1412 | 1309.42166357198 | 102.578336428015 |
| 22 | 1900 | 2041.41376184548 | -141.413761845482 |
| 23 | 777 | 873.507044855737 | -96.5070448557369 |
| 24 | 904 | 971.310806316164 | -67.3108063161643 |
| 25 | 2115 | 2172.89666972986 | -57.8966697298555 |
| 26 | 1858 | 1812.13908340403 | 45.8609165959703 |
| 27 | 1781 | 1801.00550472156 | -20.0055047215604 |
| 28 | 1286 | 1161.03672951734 | 124.96327048266 |
| 29 | 1035 | 1194.70140836625 | -159.701408366252 |
| 30 | 1557 | 1611.26894756219 | -54.2689475621936 |
| 31 | 1527 | 1465.7622744142 | 61.2377255858039 |
| 32 | 1220 | 1076.19360319233 | 143.806396807667 |
| 33 | 1368 | 1324.26368097869 | 43.7363190213128 |
| 34 | 564 | 600.511492037081 | -36.5114920370813 |
| 35 | 1990 | 1989.63773860107 | 0.362261398930534 |
| 36 | 1557 | 1656.08134290638 | -99.0813429063788 |
| 37 | 2057 | 1831.90628093626 | 225.09371906374 |
| 38 | 1111 | 1036.75914099565 | 74.2408590043507 |
| 39 | 686 | 711.366616897698 | -25.3666168976979 |
| 40 | 2011 | 1868.38292600694 | 142.617073993059 |
| 41 | 2232 | 2511.69655049961 | -279.696550499611 |
| 42 | 1032 | 1227.47471957559 | -195.474719575592 |
| 43 | 1166 | 1246.51391353214 | -80.5139135321434 |
| 44 | 1020 | 932.545915297723 | 87.4540847022768 |
| 45 | 1735 | 2049.3907045995 | -314.390704599504 |
| 46 | 3623 | 3754.35508213626 | -131.355082136261 |
| 47 | 918 | 1019.95001792378 | -101.950017923779 |
| 48 | 1579 | 1325.05600335012 | 253.943996649882 |
| 49 | 2790 | 2503.65015969347 | 286.349840306525 |
| 50 | 1496 | 1678.34028518653 | -182.34028518653 |
| 51 | 1108 | 1030.21767645826 | 77.7823235417421 |
| 52 | 496 | 779.241342532472 | -283.241342532472 |
| 53 | 1750 | 1586.34900710582 | 163.650992894175 |
| 54 | 744 | 865.894536943408 | -121.894536943408 |
| 55 | 1101 | 1280.8088012095 | -179.808801209496 |
| 56 | 1612 | 1720.03307962395 | -108.033079623953 |
| 57 | 1805 | 1370.60702098366 | 434.392979016339 |
| 58 | 2460 | 2037.18255565237 | 422.817444347631 |
| 59 | 1653 | 1805.53445415384 | -152.534454153838 |
| 60 | 1234 | 1359.29307657569 | -125.29307657569 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.407899366544128 | 0.815798733088255 | 0.592100633455872 |
| 10 | 0.414196637746327 | 0.828393275492654 | 0.585803362253673 |
| 11 | 0.356386731281537 | 0.712773462563075 | 0.643613268718463 |
| 12 | 0.374678390666639 | 0.749356781333278 | 0.625321609333361 |
| 13 | 0.267031886123181 | 0.534063772246362 | 0.732968113876819 |
| 14 | 0.185453193376417 | 0.370906386752835 | 0.814546806623582 |
| 15 | 0.144942503812844 | 0.289885007625687 | 0.855057496187156 |
| 16 | 0.494358669458826 | 0.988717338917651 | 0.505641330541174 |
| 17 | 0.393989942482288 | 0.787979884964576 | 0.606010057517712 |
| 18 | 0.320625655442426 | 0.641251310884853 | 0.679374344557574 |
| 19 | 0.306645289883658 | 0.613290579767316 | 0.693354710116342 |
| 20 | 0.389459984207913 | 0.778919968415826 | 0.610540015792087 |
| 21 | 0.322426746675734 | 0.644853493351469 | 0.677573253324266 |
| 22 | 0.336659489858882 | 0.673318979717765 | 0.663340510141118 |
| 23 | 0.300143180558206 | 0.600286361116413 | 0.699856819441794 |
| 24 | 0.246332520787966 | 0.492665041575933 | 0.753667479212034 |
| 25 | 0.197940711070813 | 0.395881422141627 | 0.802059288929187 |
| 26 | 0.144493147651504 | 0.288986295303007 | 0.855506852348496 |
| 27 | 0.105519686280178 | 0.211039372560356 | 0.894480313719822 |
| 28 | 0.0853661850014091 | 0.170732370002818 | 0.914633814998591 |
| 29 | 0.0748481098000031 | 0.149696219600006 | 0.925151890199997 |
| 30 | 0.0507366066360191 | 0.101473213272038 | 0.949263393363981 |
| 31 | 0.0330222449271491 | 0.0660444898542982 | 0.966977755072851 |
| 32 | 0.0233316453249314 | 0.0466632906498627 | 0.976668354675069 |
| 33 | 0.0153770824849813 | 0.0307541649699627 | 0.984622917515019 |
| 34 | 0.00924260846359495 | 0.0184852169271899 | 0.990757391536405 |
| 35 | 0.00525014146423507 | 0.0105002829284701 | 0.994749858535765 |
| 36 | 0.00293843721258985 | 0.0058768744251797 | 0.99706156278741 |
| 37 | 0.00533573169416145 | 0.0106714633883229 | 0.994664268305839 |
| 38 | 0.00344992915825055 | 0.0068998583165011 | 0.996550070841749 |
| 39 | 0.00197131982603652 | 0.00394263965207304 | 0.998028680173964 |
| 40 | 0.00198536818109862 | 0.00397073636219723 | 0.998014631818901 |
| 41 | 0.00303454388805272 | 0.00606908777610545 | 0.996965456111947 |
| 42 | 0.00196735191290244 | 0.00393470382580487 | 0.998032648087098 |
| 43 | 0.000946918535995675 | 0.00189383707199135 | 0.999053081464004 |
| 44 | 0.000888362755306558 | 0.00177672551061312 | 0.999111637244693 |
| 45 | 0.00208056605663808 | 0.00416113211327616 | 0.997919433943362 |
| 46 | 0.0148711687438812 | 0.0297423374877625 | 0.985128831256119 |
| 47 | 0.0123641567709366 | 0.0247283135418732 | 0.987635843229063 |
| 48 | 0.0204461798079541 | 0.0408923596159081 | 0.979553820192046 |
| 49 | 0.0203083794472267 | 0.0406167588944534 | 0.979691620552773 |
| 50 | 0.0173909700503287 | 0.0347819401006573 | 0.982609029949671 |
| 51 | 0.0116170302253184 | 0.0232340604506367 | 0.988382969774682 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 9 | 0.209302325581395 | NOK |
| 5% type I error level | 20 | 0.465116279069767 | NOK |
| 10% type I error level | 21 | 0.488372093023256 | NOK |
