| Multiple Linear Regression - Estimated Regression Equation |
| PageviewsRFC[t] = + 71.1570208076701 + 0.00727360066446068`in`[t] + 8.76747214767245`secondsLogins `[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) | 71.1570208076701 | 54.348846 | 1.3093 | 0.192574 | 0.096287 |
| `in` | 0.00727360066446068 | 0.000636 | 11.4293 | 0 | 0 |
| `secondsLogins ` | 8.76747214767245 | 1.234173 | 7.1039 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.918635485270098 |
| R-squared | 0.843891154797428 |
| Adjusted R-squared | 0.841676844936398 |
| F-TEST (value) | 381.107978449375 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 141 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 317.561470099099 |
| Sum Squared Residuals | 14219185.5081016 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1627 | 1776.80009200189 | -149.800092001885 |
| 2 | 1323 | 1635.49128465047 | -312.491284650471 |
| 3 | 192 | 281.450548259858 | -89.4505482598578 |
| 4 | 2172 | 1757.38729780243 | 414.612702197574 |
| 5 | 3335 | 2812.52884136835 | 522.471158631654 |
| 6 | 6271 | 5302.32729782537 | 968.672702174635 |
| 7 | 1478 | 1504.4847561762 | -26.4847561761994 |
| 8 | 1324 | 1557.25023874319 | -233.250238743195 |
| 9 | 1488 | 1172.89154332346 | 315.108456676544 |
| 10 | 2756 | 2844.72513473332 | -88.7251347333181 |
| 11 | 1931 | 1578.06646888618 | 352.933531113818 |
| 12 | 1966 | 1875.08350604545 | 90.9164939545517 |
| 13 | 1575 | 1504.15069350889 | 70.8493064911097 |
| 14 | 2811 | 2318.65684595619 | 492.34315404381 |
| 15 | 1263 | 1469.55306599813 | -206.553065998134 |
| 16 | 1424 | 1636.91268160867 | -212.912681608666 |
| 17 | 1636 | 1502.84092242603 | 133.159077573969 |
| 18 | 1076 | 993.659781511126 | 82.3402184888744 |
| 19 | 2376 | 1679.60745657637 | 696.392543423635 |
| 20 | 677 | 436.306582846553 | 240.693417153447 |
| 21 | 902 | 906.725706369491 | -4.72570636949149 |
| 22 | 2308 | 2225.55431147711 | 82.4456885228924 |
| 23 | 1590 | 1836.47631015882 | -246.476310158819 |
| 24 | 1863 | 1208.99086939516 | 654.009130604841 |
| 25 | 1799 | 1816.65107360214 | -17.651073602139 |
| 26 | 1385 | 1307.0477253778 | 77.9522746222045 |
| 27 | 1870 | 2542.50736559588 | -672.507365595876 |
| 28 | 1161 | 1837.7887875994 | -676.788787599404 |
| 29 | 2417 | 3238.77163577178 | -821.771635771776 |
| 30 | 1952 | 1760.37299539128 | 191.627004608719 |
| 31 | 1514 | 1533.45398520843 | -19.4539852084336 |
| 32 | 1487 | 1627.24706577665 | -140.247065776654 |
| 33 | 2051 | 1769.4334569431 | 281.5665430569 |
| 34 | 2797 | 2603.2983360535 | 193.701663946503 |
| 35 | 2216 | 1923.913078705 | 292.086921295 |
| 36 | 1 | 79.9244929553425 | -78.9244929553425 |
| 37 | 1830 | 1891.25784104255 | -61.257841042554 |
| 38 | 1563 | 1177.98629310956 | 385.013706890439 |
| 39 | 2046 | 1406.54806060225 | 639.451939397752 |
| 40 | 1955 | 2109.50950258036 | -154.509502580361 |
| 41 | 1926 | 1901.23039352751 | 24.7696064724853 |
| 42 | 1572 | 1456.68543595636 | 115.314564043639 |
| 43 | 896 | 951.20692676438 | -55.2069267643802 |
| 44 | 1877 | 1809.11517733977 | 67.8848226602275 |
| 45 | 1036 | 1135.50352900146 | -99.503529001458 |
| 46 | 1096 | 1815.65566675144 | -719.655666751435 |
| 47 | 730 | 889.506048768088 | -159.506048768088 |
| 48 | 1917 | 2190.95720692961 | -273.957206929608 |
| 49 | 1826 | 2015.57399482748 | -189.573994827477 |
| 50 | 2444 | 1610.56124136002 | 833.438758639976 |
| 51 | 658 | 667.14650976153 | -9.14650976152985 |
| 52 | 1425 | 1391.37343821716 | 33.6265617828435 |
| 53 | 2185 | 2500.87159899965 | -315.871598999648 |
| 54 | 1899 | 2296.97119754681 | -397.971197546807 |
| 55 | 1630 | 1816.57870658021 | -186.578706580209 |
| 56 | 1496 | 1338.12915893899 | 157.870841061008 |
| 57 | 1681 | 1904.35867227958 | -223.358672279575 |
| 58 | 816 | 758.342468918553 | 57.6575310814472 |
| 59 | 902 | 1374.05670194175 | -472.056701941745 |
| 60 | 2602 | 2015.4788075525 | 586.521192447503 |
| 61 | 1557 | 1466.87745739394 | 90.1225426060597 |
| 62 | 1780 | 1435.96940630528 | 344.030593694722 |
| 63 | 1265 | 1400.85435369629 | -135.854353696288 |
| 64 | 1008 | 1009.72690389729 | -1.7269038972912 |
| 65 | 1069 | 1326.54312803921 | -257.543128039205 |
| 66 | 1229 | 1086.41462858336 | 142.585371416645 |
| 67 | 2155 | 1872.67980401284 | 282.320195987163 |
| 68 | 2500 | 1491.78935517736 | 1008.21064482264 |
| 69 | 1003 | 1131.31905573874 | -128.319055738738 |
| 70 | 340 | 435.206116265565 | -95.2061162655648 |
| 71 | 2586 | 2467.00067057518 | 118.999329424819 |
| 72 | 1118 | 1322.85504351761 | -204.855043517609 |
| 73 | 1251 | 1296.52846889959 | -45.5284688995865 |
| 74 | 1516 | 1379.74959388901 | 136.250406110994 |
| 75 | 2473 | 1645.8839990673 | 827.1160009327 |
| 76 | 1288 | 918.678123660227 | 369.321876339773 |
| 77 | 1911 | 1467.65680910537 | 443.343190894635 |
| 78 | 2250 | 1768.62564129536 | 481.37435870464 |
| 79 | 816 | 710.228676963473 | 105.771323036527 |
| 80 | 1234 | 1311.6926653523 | -77.6926653523024 |
| 81 | 907 | 1217.21820369463 | -310.218203694635 |
| 82 | 1827 | 2269.79056682242 | -442.790566822417 |
| 83 | 841 | 699.498409076724 | 141.501590923276 |
| 84 | 1309 | 1058.57191570614 | 250.428084293858 |
| 85 | 763 | 791.35482046917 | -28.3548204691705 |
| 86 | 1439 | 1381.73780873577 | 57.262191264227 |
| 87 | 2500 | 3447.28866724135 | -947.28866724135 |
| 88 | 972 | 1383.63781791278 | -411.637817912781 |
| 89 | 1152 | 1193.2137990876 | -41.2137990876017 |
| 90 | 1261 | 1397.15613523776 | -136.15613523776 |
| 91 | 1508 | 1227.41059411693 | 280.589405883072 |
| 92 | 2005 | 1649.72212284512 | 355.277877154877 |
| 93 | 1191 | 1620.514310416 | -429.514310416004 |
| 94 | 1265 | 1477.38268963408 | -212.382689634077 |
| 95 | 761 | 718.170187956379 | 42.8298120436208 |
| 96 | 2156 | 2514.17787495122 | -358.177874951215 |
| 97 | 1689 | 1818.13076686874 | -129.130766868736 |
| 98 | 223 | 317.103585836389 | -94.1035858363891 |
| 99 | 2056 | 2204.21293666124 | -148.212936661238 |
| 100 | 1795 | 1669.6999205234 | 125.3000794766 |
| 101 | 566 | 629.681899645563 | -63.6818996455627 |
| 102 | 802 | 670.411910485888 | 131.588089514112 |
| 103 | 1131 | 1300.25615074549 | -169.256150745487 |
| 104 | 981 | 1213.26433277252 | -232.264332772523 |
| 105 | 591 | 825.350553534532 | -234.350553534532 |
| 106 | 596 | 465.345580046078 | 130.654419953922 |
| 107 | 1245 | 1289.17459714619 | -44.1745971461887 |
| 108 | 853 | 959.892682398074 | -106.892682398074 |
| 109 | 0 | 71.1570208076701 | -71.1570208076701 |
| 110 | 1030 | 965.641610269995 | 64.358389730005 |
| 111 | 991 | 1192.05666611561 | -201.05666611561 |
| 112 | 1178 | 1269.69311121977 | -91.6931112197656 |
| 113 | 1016 | 1096.83688337683 | -80.8368833768279 |
| 114 | 849 | 1093.83117939574 | -244.831179395736 |
| 115 | 78 | 141.295721548722 | -63.2957215487221 |
| 116 | 0 | 71.1570208076701 | -71.1570208076701 |
| 117 | 924 | 1530.31798688172 | -606.317986881724 |
| 118 | 1480 | 1700.83586759494 | -220.835867594944 |
| 119 | 1870 | 1883.01863538566 | -13.0186353856608 |
| 120 | 861 | 1170.30106504658 | -309.30106504658 |
| 121 | 778 | 553.485996457685 | 224.514003542315 |
| 122 | 1533 | 1700.91264788127 | -167.91264788127 |
| 123 | 889 | 1050.7549478725 | -161.754947872502 |
| 124 | 1705 | 1314.85363681272 | 390.146363187283 |
| 125 | 700 | 852.21752748238 | -152.21752748238 |
| 126 | 285 | 320.12213011214 | -35.1221301121404 |
| 127 | 1490 | 1359.40336444221 | 130.596635557788 |
| 128 | 981 | 1089.64258486406 | -108.642584864063 |
| 129 | 1368 | 1301.06585779225 | 66.9341422077456 |
| 130 | 256 | 235.8636635747 | 20.1363364252998 |
| 131 | 98 | 227.702683629175 | -129.702683629175 |
| 132 | 1317 | 1481.82021650574 | -164.82021650574 |
| 133 | 41 | 147.181771392941 | -106.181771392941 |
| 134 | 1768 | 1668.25095157686 | 99.7490484231408 |
| 135 | 42 | 134.685725451397 | -92.6857254513972 |
| 136 | 528 | 504.184454713643 | 23.8155452863574 |
| 137 | 0 | 71.1570208076701 | -71.1570208076701 |
| 138 | 938 | 1172.04609873971 | -234.046098739708 |
| 139 | 1235 | 989.910201873961 | 245.089798126039 |
| 140 | 81 | 158.094955736629 | -77.0949557366289 |
| 141 | 257 | 249.229127782639 | 7.77087221736054 |
| 142 | 891 | 729.202717750054 | 161.797282249946 |
| 143 | 1114 | 1356.86766115731 | -242.867661157312 |
| 144 | 1079 | 913.613729209465 | 165.386270790535 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.297762093849345 | 0.595524187698691 | 0.702237906150655 |
| 7 | 0.213736079943787 | 0.427472159887574 | 0.786263920056213 |
| 8 | 0.118097728181136 | 0.236195456362273 | 0.881902271818864 |
| 9 | 0.357667172984897 | 0.715334345969794 | 0.642332827015103 |
| 10 | 0.249367586828399 | 0.498735173656799 | 0.7506324131716 |
| 11 | 0.21294832420862 | 0.42589664841724 | 0.78705167579138 |
| 12 | 0.160221877250881 | 0.320443754501762 | 0.839778122749119 |
| 13 | 0.196929856740822 | 0.393859713481644 | 0.803070143259178 |
| 14 | 0.209701735267011 | 0.419403470534022 | 0.790298264732989 |
| 15 | 0.163380728061276 | 0.326761456122552 | 0.836619271938724 |
| 16 | 0.182700130827934 | 0.365400261655868 | 0.817299869172066 |
| 17 | 0.153356623975349 | 0.306713247950697 | 0.846643376024651 |
| 18 | 0.109586408859171 | 0.219172817718341 | 0.890413591140829 |
| 19 | 0.239653208657265 | 0.479306417314529 | 0.760346791342735 |
| 20 | 0.253187680066894 | 0.506375360133788 | 0.746812319933106 |
| 21 | 0.20920453105756 | 0.418409062115119 | 0.79079546894244 |
| 22 | 0.167130441167987 | 0.334260882335975 | 0.832869558832013 |
| 23 | 0.164669279080723 | 0.329338558161445 | 0.835330720919277 |
| 24 | 0.403366930315954 | 0.806733860631908 | 0.596633069684046 |
| 25 | 0.369986790553078 | 0.739973581106155 | 0.630013209446922 |
| 26 | 0.358317116124859 | 0.716634232249717 | 0.641682883875141 |
| 27 | 0.879977118197722 | 0.240045763604556 | 0.120022881802278 |
| 28 | 0.962890560203719 | 0.0742188795925625 | 0.0371094397962813 |
| 29 | 0.995378876450271 | 0.00924224709945879 | 0.00462112354972939 |
| 30 | 0.994487742874617 | 0.0110245142507656 | 0.00551225712538282 |
| 31 | 0.991805707083211 | 0.0163885858335789 | 0.00819429291678945 |
| 32 | 0.98851055165051 | 0.02297889669898 | 0.01148944834949 |
| 33 | 0.986514730829815 | 0.0269705383403705 | 0.0134852691701852 |
| 34 | 0.983027205537034 | 0.0339455889259326 | 0.0169727944629663 |
| 35 | 0.982790232706339 | 0.0344195345873227 | 0.0172097672936614 |
| 36 | 0.976551668587549 | 0.0468966628249026 | 0.0234483314124513 |
| 37 | 0.968177838182301 | 0.0636443236353984 | 0.0318221618176992 |
| 38 | 0.970931505313367 | 0.0581369893732657 | 0.0290684946866329 |
| 39 | 0.988168638343668 | 0.0236627233126636 | 0.0118313616563318 |
| 40 | 0.984488901281956 | 0.0310221974360884 | 0.0155110987180442 |
| 41 | 0.978740874067172 | 0.0425182518656551 | 0.0212591259328276 |
| 42 | 0.972095667435799 | 0.0558086651284015 | 0.0279043325642007 |
| 43 | 0.963056735087137 | 0.0738865298257264 | 0.0369432649128632 |
| 44 | 0.952367012663807 | 0.0952659746723868 | 0.0476329873361934 |
| 45 | 0.94017862407562 | 0.119642751848761 | 0.0598213759243804 |
| 46 | 0.982530251651657 | 0.0349394966966864 | 0.0174697483483432 |
| 47 | 0.977958941216161 | 0.0440821175676784 | 0.0220410587838392 |
| 48 | 0.976259260320618 | 0.0474814793587636 | 0.0237407396793818 |
| 49 | 0.97139141321028 | 0.0572171735794391 | 0.0286085867897196 |
| 50 | 0.995674667952875 | 0.00865066409424999 | 0.00432533204712499 |
| 51 | 0.993819052460728 | 0.0123618950785438 | 0.00618094753927189 |
| 52 | 0.991396213182597 | 0.0172075736348058 | 0.00860378681740288 |
| 53 | 0.990822361070822 | 0.0183552778583555 | 0.00917763892917777 |
| 54 | 0.992020388676252 | 0.0159592226474964 | 0.00797961132374819 |
| 55 | 0.98996608078735 | 0.0200678384252999 | 0.0100339192126499 |
| 56 | 0.987231087993772 | 0.0255378240124553 | 0.0127689120062276 |
| 57 | 0.984888710636544 | 0.0302225787269125 | 0.0151112893634563 |
| 58 | 0.979760929084097 | 0.0404781418318053 | 0.0202390709159026 |
| 59 | 0.985978307338697 | 0.0280433853226063 | 0.0140216926613031 |
| 60 | 0.994100042519304 | 0.0117999149613914 | 0.00589995748069571 |
| 61 | 0.991983858420169 | 0.0160322831596615 | 0.00801614157983073 |
| 62 | 0.992984837914175 | 0.0140303241716499 | 0.00701516208582493 |
| 63 | 0.990783776703088 | 0.0184324465938239 | 0.00921622329691194 |
| 64 | 0.98731024216286 | 0.0253795156742793 | 0.0126897578371397 |
| 65 | 0.986240797995175 | 0.0275184040096506 | 0.0137592020048253 |
| 66 | 0.982498197977364 | 0.035003604045271 | 0.0175018020226355 |
| 67 | 0.982125911872096 | 0.0357481762558077 | 0.0178740881279038 |
| 68 | 0.999664198354348 | 0.000671603291302943 | 0.000335801645651472 |
| 69 | 0.999518015608509 | 0.000963968782982749 | 0.000481984391491374 |
| 70 | 0.999301898982506 | 0.00139620203498764 | 0.000698101017493822 |
| 71 | 0.999217159012471 | 0.00156568197505831 | 0.000782840987529153 |
| 72 | 0.998990004432217 | 0.00201999113556572 | 0.00100999556778286 |
| 73 | 0.998536374806301 | 0.00292725038739805 | 0.00146362519369902 |
| 74 | 0.998220802437307 | 0.00355839512538533 | 0.00177919756269266 |
| 75 | 0.999959970490253 | 8.00590194944919e-05 | 4.00295097472459e-05 |
| 76 | 0.999976492069558 | 4.70158608830795e-05 | 2.35079304415397e-05 |
| 77 | 0.99999390514048 | 1.21897190390762e-05 | 6.0948595195381e-06 |
| 78 | 0.99999973624247 | 5.27515060746672e-07 | 2.63757530373336e-07 |
| 79 | 0.999999551481427 | 8.97037145357098e-07 | 4.48518572678549e-07 |
| 80 | 0.999999319737934 | 1.36052413164192e-06 | 6.80262065820961e-07 |
| 81 | 0.999999195343367 | 1.60931326526149e-06 | 8.04656632630744e-07 |
| 82 | 0.999999701676765 | 5.96646469805857e-07 | 2.98323234902929e-07 |
| 83 | 0.999999556579572 | 8.86840856189826e-07 | 4.43420428094913e-07 |
| 84 | 0.999999592076759 | 8.15846482329888e-07 | 4.07923241164944e-07 |
| 85 | 0.999999272908049 | 1.45418390225776e-06 | 7.27091951128881e-07 |
| 86 | 0.999998757230322 | 2.48553935677726e-06 | 1.24276967838863e-06 |
| 87 | 0.999999875278935 | 2.49442130431264e-07 | 1.24721065215632e-07 |
| 88 | 0.999999898408671 | 2.03182658963537e-07 | 1.01591329481769e-07 |
| 89 | 0.999999796012562 | 4.07974876386207e-07 | 2.03987438193103e-07 |
| 90 | 0.999999614984035 | 7.70031929374328e-07 | 3.85015964687164e-07 |
| 91 | 0.99999978644717 | 4.27105659998493e-07 | 2.13552829999247e-07 |
| 92 | 0.999999966880896 | 6.62382084288246e-08 | 3.31191042144123e-08 |
| 93 | 0.999999983956984 | 3.20860320053236e-08 | 1.60430160026618e-08 |
| 94 | 0.999999971593724 | 5.68125518835973e-08 | 2.84062759417987e-08 |
| 95 | 0.999999944457409 | 1.11085181756013e-07 | 5.55425908780065e-08 |
| 96 | 0.999999936069407 | 1.27861186532644e-07 | 6.39305932663219e-08 |
| 97 | 0.999999866119635 | 2.67760730151468e-07 | 1.33880365075734e-07 |
| 98 | 0.99999973141111 | 5.37177780137064e-07 | 2.68588890068532e-07 |
| 99 | 0.999999446516577 | 1.10696684696343e-06 | 5.53483423481714e-07 |
| 100 | 0.999999377974017 | 1.2440519662543e-06 | 6.22025983127152e-07 |
| 101 | 0.999998709286607 | 2.58142678632763e-06 | 1.29071339316382e-06 |
| 102 | 0.999998131162912 | 3.73767417661984e-06 | 1.86883708830992e-06 |
| 103 | 0.999996583551355 | 6.83289729056497e-06 | 3.41644864528249e-06 |
| 104 | 0.999994853918019 | 1.02921639616739e-05 | 5.14608198083697e-06 |
| 105 | 0.999993079831718 | 1.38403365645212e-05 | 6.92016828226062e-06 |
| 106 | 0.999989777835281 | 2.04443294389171e-05 | 1.02221647194586e-05 |
| 107 | 0.999979740955197 | 4.05180896058213e-05 | 2.02590448029106e-05 |
| 108 | 0.999961461302587 | 7.70773948251136e-05 | 3.85386974125568e-05 |
| 109 | 0.999927965535104 | 0.00014406892979184 | 7.20344648959202e-05 |
| 110 | 0.999881673359826 | 0.000236653280347749 | 0.000118326640173875 |
| 111 | 0.999814796218266 | 0.000370407563468027 | 0.000185203781734013 |
| 112 | 0.999658264339905 | 0.000683471320189067 | 0.000341735660094533 |
| 113 | 0.99938174913638 | 0.00123650172723952 | 0.000618250863619759 |
| 114 | 0.999271073047352 | 0.00145785390529697 | 0.000728926952648484 |
| 115 | 0.998727411524178 | 0.00254517695164466 | 0.00127258847582233 |
| 116 | 0.997839966759459 | 0.00432006648108226 | 0.00216003324054113 |
| 117 | 0.999829560320439 | 0.000340879359121199 | 0.0001704396795606 |
| 118 | 0.999748416005735 | 0.000503167988530168 | 0.000251583994265084 |
| 119 | 0.999534053835605 | 0.000931892328789484 | 0.000465946164394742 |
| 120 | 0.999728731564572 | 0.000542536870856279 | 0.00027126843542814 |
| 121 | 0.999758981180355 | 0.00048203763929097 | 0.000241018819645485 |
| 122 | 0.999631813257693 | 0.000736373484614783 | 0.000368186742307392 |
| 123 | 0.999447375850717 | 0.00110524829856659 | 0.000552624149283295 |
| 124 | 0.99994235939046 | 0.000115281219080203 | 5.76406095401013e-05 |
| 125 | 0.99986029634227 | 0.00027940731545963 | 0.000139703657729815 |
| 126 | 0.999656837128979 | 0.000686325742042597 | 0.000343162871021298 |
| 127 | 0.999495256882823 | 0.00100948623435434 | 0.00050474311717717 |
| 128 | 0.999438854504868 | 0.0011222909902649 | 0.00056114549513245 |
| 129 | 0.998615103406762 | 0.002769793186477 | 0.0013848965932385 |
| 130 | 0.997096914494405 | 0.00580617101118998 | 0.00290308550559499 |
| 131 | 0.993735086066007 | 0.0125298278679852 | 0.0062649139339926 |
| 132 | 0.989068717212333 | 0.0218625655753347 | 0.0109312827876673 |
| 133 | 0.978985931556527 | 0.0420281368869454 | 0.0210140684434727 |
| 134 | 0.961192480820043 | 0.0776150383599147 | 0.0388075191799574 |
| 135 | 0.931159464492219 | 0.137681071015562 | 0.068840535507781 |
| 136 | 0.866285074220703 | 0.267429851558594 | 0.133714925779297 |
| 137 | 0.792767987177378 | 0.414464025645244 | 0.207232012822622 |
| 138 | 0.706085872536543 | 0.587828254926915 | 0.293914127463457 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 65 | 0.488721804511278 | NOK |
| 5% type I error level | 98 | 0.736842105263158 | NOK |
| 10% type I error level | 106 | 0.796992481203007 | NOK |
