| Multiple Linear Regression - Estimated Regression Equation |
| time[t] = + 38756.5018302735 + 818.934484160525logins[t] + 796.779962228929BC[t] + 376.537242916976LFM[t] -22382.5086397196Course[t] -743.880187718705Totaal[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) | 38756.5018302735 | 25594.44306 | 1.5143 | 0.133952 | 0.066976 |
| logins | 818.934484160525 | 167.185356 | 4.8984 | 5e-06 | 3e-06 |
| BC | 796.779962228929 | 218.944145 | 3.6392 | 0.000486 | 0.000243 |
| LFM | 376.537242916976 | 247.578066 | 1.5209 | 0.132282 | 0.066141 |
| Course | -22382.5086397196 | 17971.144773 | -1.2455 | 0.216641 | 0.10832 |
| Totaal | -743.880187718705 | 2127.601355 | -0.3496 | 0.727544 | 0.363772 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.821209867533202 |
| R-squared | 0.6743856465339 |
| Adjusted R-squared | 0.653777143149969 |
| F-TEST (value) | 32.723659451164 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 79 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 46992.8070743354 |
| Sum Squared Residuals | 174457589421.331 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 210907 | 181469.190418107 | 29437.8095818933 |
| 2 | 179321 | 233501.722110858 | -54180.7221108583 |
| 3 | 149061 | 144069.121100459 | 4991.87889954069 |
| 4 | 237213 | 216009.916432402 | 21203.0835675979 |
| 5 | 173326 | 238048.845890675 | -64722.8458906749 |
| 6 | 133131 | 149769.047908828 | -16638.0479088283 |
| 7 | 258873 | 214472.784322544 | 44400.2156774562 |
| 8 | 324799 | 354021.903233217 | -29222.9032332171 |
| 9 | 230964 | 207477.248761303 | 23486.751238697 |
| 10 | 236785 | 224295.906784109 | 12489.0932158912 |
| 11 | 344297 | 203841.127167942 | 140455.872832058 |
| 12 | 174724 | 257286.878877237 | -82562.8788772372 |
| 13 | 174415 | 219508.492618417 | -45093.492618417 |
| 14 | 223632 | 228128.964545785 | -4496.9645457852 |
| 15 | 294424 | 230785.01043996 | 63638.9895600405 |
| 16 | 325107 | 231972.584633778 | 93134.4153662216 |
| 17 | 106408 | 102806.272908853 | 3601.72709114671 |
| 18 | 96560 | 126386.187631214 | -29826.1876312138 |
| 19 | 265769 | 281484.042417162 | -15715.0424171619 |
| 20 | 269651 | 215333.39241973 | 54317.60758027 |
| 21 | 149112 | 167983.06965607 | -18871.0696560705 |
| 22 | 152871 | 165665.311170181 | -12794.3111701812 |
| 23 | 362301 | 236696.318920205 | 125604.681079795 |
| 24 | 183167 | 220250.814621118 | -37083.8146211182 |
| 25 | 277965 | 251119.179321689 | 26845.8206783112 |
| 26 | 218946 | 167547.907754846 | 51398.0922451541 |
| 27 | 244052 | 235183.170401258 | 8868.8295987423 |
| 28 | 341570 | 258222.207926565 | 83347.7920734345 |
| 29 | 233328 | 254847.008103462 | -21519.0081034623 |
| 30 | 206161 | 195424.294797058 | 10736.7052029415 |
| 31 | 311473 | 281038.303557845 | 30434.6964421549 |
| 32 | 207176 | 185114.599674303 | 22061.400325697 |
| 33 | 196553 | 157612.573490746 | 38940.4265092537 |
| 34 | 143246 | 214163.124056074 | -70917.1240560739 |
| 35 | 182192 | 193167.531245354 | -10975.5312453536 |
| 36 | 194979 | 197487.280660361 | -2508.28066036135 |
| 37 | 167488 | 157697.052501315 | 9790.9474986845 |
| 38 | 143756 | 202298.332534858 | -58542.3325348575 |
| 39 | 275541 | 223102.11213552 | 52438.8878644802 |
| 40 | 152299 | 166973.276579401 | -14674.2765794012 |
| 41 | 193339 | 207557.771689355 | -14218.7716893552 |
| 42 | 130585 | 173076.751313987 | -42491.7513139872 |
| 43 | 112611 | 111857.763473449 | 753.236526550756 |
| 44 | 148446 | 267186.49856292 | -118740.498562921 |
| 45 | 182079 | 232093.72393754 | -50014.7239375395 |
| 46 | 243060 | 176466.365592749 | 66593.6344072513 |
| 47 | 162765 | 161664.56831025 | 1100.43168974997 |
| 48 | 85574 | 87253.9649994932 | -1679.96499949319 |
| 49 | 225060 | 240612.741922234 | -15552.7419222337 |
| 50 | 133328 | 129352.79387071 | 3975.20612929049 |
| 51 | 100750 | 196638.844582955 | -95888.8445829551 |
| 52 | 101523 | 130537.99943058 | -29014.9994305796 |
| 53 | 243511 | 244291.681902986 | -780.681902985702 |
| 54 | 152474 | 207698.510459083 | -55224.5104590831 |
| 55 | 132487 | 163573.202241817 | -31086.2022418165 |
| 56 | 317394 | 234719.037568983 | 82674.9624310174 |
| 57 | 244749 | 237941.497059411 | 6807.50294058934 |
| 58 | 184510 | 185568.943896042 | -1058.94389604215 |
| 59 | 128423 | 160361.976382473 | -31938.9763824725 |
| 60 | 97839 | 115390.849504336 | -17551.8495043358 |
| 61 | 172494 | 168100.009471455 | 4393.99052854491 |
| 62 | 229242 | 334550.628570028 | -105308.628570028 |
| 63 | 351619 | 277654.841853035 | 73964.1581469652 |
| 64 | 324598 | 267467.123752321 | 57130.8762476794 |
| 65 | 195838 | 220456.098257741 | -24618.0982577409 |
| 66 | 254488 | 246396.516904355 | 8091.48309564525 |
| 67 | 199476 | 202706.542378553 | -3230.54237855344 |
| 68 | 92499 | 84696.704475285 | 7802.29552471504 |
| 69 | 224330 | 260809.155132628 | -36479.1551326276 |
| 70 | 181633 | 156554.511552897 | 25078.4884471031 |
| 71 | 271856 | 244569.613035777 | 27286.3869642231 |
| 72 | 95227 | 111923.27999106 | -16696.2799910604 |
| 73 | 98146 | 79156.8596504236 | 18989.1403495764 |
| 74 | 118612 | 114749.959243168 | 3862.04075683247 |
| 75 | 65475 | 60440.1262875684 | 5034.87371243165 |
| 76 | 108446 | 107514.142198825 | 931.857801174776 |
| 77 | 121848 | 95885.47293153 | 25962.52706847 |
| 78 | 76302 | 88984.353247086 | -12682.353247086 |
| 79 | 98104 | 124348.244238067 | -26244.2442380673 |
| 80 | 30989 | 48748.7631149793 | -17759.7631149793 |
| 81 | 31774 | 52162.8565556251 | -20388.8565556251 |
| 82 | 150580 | 130654.672449075 | 19925.3275509245 |
| 83 | 54157 | 72710.7242795835 | -18553.7242795835 |
| 84 | 59382 | 87901.4154613472 | -28519.4154613472 |
| 85 | 84105 | 70019.7885354256 | 14085.2114645744 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.580989680546224 | 0.838020638907553 | 0.419010319453776 |
| 10 | 0.547439059109876 | 0.905121881780247 | 0.452560940890124 |
| 11 | 0.966498408853026 | 0.0670031822939475 | 0.0335015911469738 |
| 12 | 0.983207933169419 | 0.0335841336611615 | 0.0167920668305808 |
| 13 | 0.97743503022188 | 0.0451299395562401 | 0.0225649697781201 |
| 14 | 0.960255814814735 | 0.0794883703705293 | 0.0397441851852647 |
| 15 | 0.962108840006317 | 0.075782319987365 | 0.0378911599936825 |
| 16 | 0.983984248363646 | 0.0320315032727088 | 0.0160157516363544 |
| 17 | 0.973797865526696 | 0.0524042689466072 | 0.0262021344733036 |
| 18 | 0.959624607903035 | 0.08075078419393 | 0.040375392096965 |
| 19 | 0.940799232911922 | 0.118401534176156 | 0.0592007670880778 |
| 20 | 0.950153910866783 | 0.0996921782664332 | 0.0498460891332166 |
| 21 | 0.929447864736161 | 0.141104270527679 | 0.0705521352638394 |
| 22 | 0.907956523058698 | 0.184086953882603 | 0.0920434769413015 |
| 23 | 0.986634939157457 | 0.0267301216850853 | 0.0133650608425427 |
| 24 | 0.982467461150824 | 0.0350650776983526 | 0.0175325388491763 |
| 25 | 0.975093253143967 | 0.0498134937120657 | 0.0249067468560329 |
| 26 | 0.974302915406718 | 0.0513941691865636 | 0.0256970845932818 |
| 27 | 0.962130228813672 | 0.0757395423726553 | 0.0378697711863277 |
| 28 | 0.983079534984362 | 0.0338409300312763 | 0.0169204650156381 |
| 29 | 0.982329269700575 | 0.0353414605988497 | 0.0176707302994248 |
| 30 | 0.973848898478759 | 0.0523022030424818 | 0.0261511015212409 |
| 31 | 0.968019719219673 | 0.063960561560655 | 0.0319802807803275 |
| 32 | 0.95688708886705 | 0.0862258222658997 | 0.0431129111329499 |
| 33 | 0.950648362811012 | 0.0987032743779759 | 0.049351637188988 |
| 34 | 0.969997442020683 | 0.0600051159586332 | 0.0300025579793166 |
| 35 | 0.958511214069566 | 0.0829775718608679 | 0.041488785930434 |
| 36 | 0.941786996711904 | 0.116426006576192 | 0.0582130032880962 |
| 37 | 0.921372741088892 | 0.157254517822216 | 0.078627258911108 |
| 38 | 0.93481578222683 | 0.130368435546339 | 0.0651842177731697 |
| 39 | 0.943360667807877 | 0.113278664384247 | 0.0566393321921234 |
| 40 | 0.924599287720427 | 0.150801424559146 | 0.0754007122795732 |
| 41 | 0.902538369072135 | 0.194923261855729 | 0.0974616309278647 |
| 42 | 0.899709279110167 | 0.200581441779667 | 0.100290720889833 |
| 43 | 0.871172749102909 | 0.257654501794182 | 0.128827250897091 |
| 44 | 0.972792667789895 | 0.0544146644202093 | 0.0272073322101047 |
| 45 | 0.974359822114685 | 0.0512803557706304 | 0.0256401778853152 |
| 46 | 0.985305875460042 | 0.0293882490799159 | 0.0146941245399579 |
| 47 | 0.977630583809382 | 0.0447388323812369 | 0.0223694161906185 |
| 48 | 0.966932231307571 | 0.0661355373848575 | 0.0330677686924288 |
| 49 | 0.954374403746651 | 0.0912511925066985 | 0.0456255962533492 |
| 50 | 0.935060460157409 | 0.129879079685183 | 0.0649395398425915 |
| 51 | 0.982875538184585 | 0.0342489236308307 | 0.0171244618154153 |
| 52 | 0.981821959002266 | 0.0363560819954672 | 0.0181780409977336 |
| 53 | 0.974429695510924 | 0.051140608978153 | 0.0255703044890765 |
| 54 | 0.983675995349435 | 0.0326480093011295 | 0.0163240046505648 |
| 55 | 0.98341698173343 | 0.0331660365331402 | 0.0165830182665701 |
| 56 | 0.996948608580073 | 0.00610278283985394 | 0.00305139141992697 |
| 57 | 0.994605797126704 | 0.0107884057465927 | 0.00539420287329637 |
| 58 | 0.990664574898058 | 0.0186708502038837 | 0.00933542510194185 |
| 59 | 0.988410994618237 | 0.0231780107635254 | 0.0115890053817627 |
| 60 | 0.98146701994625 | 0.0370659601075007 | 0.0185329800537504 |
| 61 | 0.974099717135018 | 0.051800565729965 | 0.0259002828649825 |
| 62 | 0.999954556173082 | 9.08876538349883e-05 | 4.54438269174941e-05 |
| 63 | 0.99991247736079 | 0.000175045278419883 | 8.75226392099414e-05 |
| 64 | 0.999930107724036 | 0.00013978455192806 | 6.98922759640298e-05 |
| 65 | 0.999830531200982 | 0.000338937598035859 | 0.000169468799017929 |
| 66 | 0.999630653259029 | 0.000738693481942752 | 0.000369346740971376 |
| 67 | 0.999033985344526 | 0.00193202931094812 | 0.000966014655474061 |
| 68 | 0.997902539630083 | 0.00419492073983433 | 0.00209746036991717 |
| 69 | 0.999561009376748 | 0.000877981246503673 | 0.000438990623251837 |
| 70 | 0.998779424961882 | 0.00244115007623614 | 0.00122057503811807 |
| 71 | 0.996724326617159 | 0.00655134676568105 | 0.00327567338284053 |
| 72 | 0.990986868741603 | 0.018026262516794 | 0.00901313125839699 |
| 73 | 0.986907166935655 | 0.0261856661286906 | 0.0130928330643453 |
| 74 | 0.970374832541442 | 0.0592503349171166 | 0.0296251674585583 |
| 75 | 0.935526429360619 | 0.128947141278762 | 0.064473570639381 |
| 76 | 0.84848964709439 | 0.30302070581122 | 0.15151035290561 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 11 | 0.161764705882353 | NOK |
| 5% type I error level | 31 | 0.455882352941176 | NOK |
| 10% type I error level | 52 | 0.764705882352941 | NOK |
