Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = + 262.941702139148 + 2.06526024155116CourseCompView[t] + 0.980975851040243CompendiumView_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) | 262.941702139148 | 51.097787 | 5.1459 | 3e-06 | 2e-06 |
CourseCompView | 2.06526024155116 | 0.098332 | 21.0029 | 0 | 0 |
CompendiumView_PR | 0.980975851040243 | 0.367732 | 2.6676 | 0.009927 | 0.004964 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.96257369725416 |
R-squared | 0.926548122645543 |
Adjusted R-squared | 0.923970863791 |
F-TEST (value) | 359.509143217231 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 57 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 178.322515087731 |
Sum Squared Residuals | 1812538.40507119 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1167 | 1019.3416721485 | 147.658327851499 |
2 | 669 | 766.657673450826 | -97.6576734508264 |
3 | 1053 | 1063.48740654104 | -10.4874065410364 |
4 | 1939 | 2182.6500192871 | -243.650019287099 |
5 | 678 | 676.509382598871 | 1.49061740112948 |
6 | 321 | 514.748033525252 | -193.748033525252 |
7 | 2667 | 2945.40391974783 | -278.40391974783 |
8 | 345 | 511.856304967935 | -166.856304967935 |
9 | 1367 | 1517.68924159915 | -150.689241599154 |
10 | 1158 | 1180.38077199369 | -22.3807719936871 |
11 | 1385 | 1402.70571830492 | -17.7057183049175 |
12 | 1155 | 1041.54390265607 | 113.456097343928 |
13 | 1120 | 1201.54991710655 | -81.549917106552 |
14 | 1703 | 1762.52543348851 | -59.5254334885062 |
15 | 1189 | 1104.999228451 | 84.0007715489992 |
16 | 3083 | 2716.36573946673 | 366.63426053327 |
17 | 1357 | 1301.97331017046 | 55.0266898295401 |
18 | 1892 | 1907.81681017338 | -15.8168101733821 |
19 | 883 | 988.466987612566 | -105.466987612566 |
20 | 1627 | 1301.87000163099 | 325.129998369011 |
21 | 1412 | 1291.95602403325 | 120.043975966746 |
22 | 1900 | 2022.74822392395 | -122.748223923952 |
23 | 777 | 842.607869234533 | -65.6078692345329 |
24 | 904 | 936.215630336963 | -32.2156303369632 |
25 | 2115 | 2142.0158646887 | -27.0158646887038 |
26 | 1858 | 1771.81955984942 | 86.1804401505824 |
27 | 1781 | 1755.96852814964 | 25.0314718503635 |
28 | 1286 | 1107.3223047673 | 178.677695232702 |
29 | 1035 | 1135.77151499533 | -100.771514995327 |
30 | 1557 | 1552.28121246031 | 4.71878753969173 |
31 | 1527 | 1525.12472479746 | 1.87527520254416 |
32 | 1220 | 1129.62693326648 | 90.3730667335224 |
33 | 1368 | 1373.27644277371 | -5.27644277371027 |
34 | 564 | 640.728908259873 | -76.7289082598726 |
35 | 1990 | 2032.55889298222 | -42.558892982217 |
36 | 1557 | 1692.66862043785 | -135.668620437845 |
37 | 2057 | 1864.75627071922 | 192.24372928078 |
38 | 1111 | 1060.2345533695 | 50.7654466304964 |
39 | 686 | 727.676455483963 | -41.6764554839626 |
40 | 2011 | 1885.77090829681 | 125.22909170319 |
41 | 2232 | 2527.18917610765 | -295.189176107651 |
42 | 1032 | 1232.99325388351 | -200.993253883506 |
43 | 1166 | 1247.34676703489 | -81.3467670348937 |
44 | 1020 | 926.663687901306 | 93.3363120986936 |
45 | 1735 | 2044.43391173417 | -309.433911734171 |
46 | 3623 | 3774.07707163713 | -151.077071637125 |
47 | 918 | 1000.39320536032 | -82.3932053603241 |
48 | 1579 | 1302.02450916626 | 276.975490833736 |
49 | 2790 | 2483.14583970672 | 306.854160293276 |
50 | 1496 | 1647.12958658425 | -151.129586584249 |
51 | 1108 | 989.861197621489 | 118.138802378511 |
52 | 496 | 732.787951818105 | -236.787951818105 |
53 | 1750 | 1540.40710425622 | 209.592895743783 |
54 | 744 | 810.183556606538 | -66.1835566065383 |
55 | 1101 | 1224.00905314101 | -123.009053141007 |
56 | 1612 | 1659.7277651125 | -47.7277651124974 |
57 | 1805 | 1304.08976940782 | 500.910230592185 |
58 | 2460 | 1973.07684849153 | 486.923151508471 |
59 | 1653 | 1731.03089771575 | -78.0308977157478 |
60 | 1234 | 1277.757928965 | -43.7579289650035 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.516609158434488 | 0.966781683131023 | 0.483390841565512 |
7 | 0.392372214247511 | 0.784744428495022 | 0.607627785752489 |
8 | 0.343299486603011 | 0.686598973206022 | 0.656700513396989 |
9 | 0.232215605630197 | 0.464431211260394 | 0.767784394369803 |
10 | 0.161727712262605 | 0.323455424525209 | 0.838272287737395 |
11 | 0.112722221456382 | 0.225444442912763 | 0.887277778543618 |
12 | 0.137857962678269 | 0.275715925356538 | 0.862142037321731 |
13 | 0.086465972485489 | 0.172931944970978 | 0.913534027514511 |
14 | 0.0547739071810787 | 0.109547814362157 | 0.945226092818921 |
15 | 0.0522857711386762 | 0.104571542277352 | 0.947714228861324 |
16 | 0.44674761263337 | 0.89349522526674 | 0.55325238736663 |
17 | 0.377158266154378 | 0.754316532308756 | 0.622841733845622 |
18 | 0.295588342388309 | 0.591176684776618 | 0.704411657611691 |
19 | 0.238708874943592 | 0.477417749887184 | 0.761291125056408 |
20 | 0.439657581236768 | 0.879315162473537 | 0.560342418763232 |
21 | 0.398872041935963 | 0.797744083871925 | 0.601127958064038 |
22 | 0.352125093858536 | 0.704250187717072 | 0.647874906141464 |
23 | 0.286632664227805 | 0.57326532845561 | 0.713367335772195 |
24 | 0.223054240741297 | 0.446108481482594 | 0.776945759258703 |
25 | 0.167988769599011 | 0.335977539198022 | 0.832011230400989 |
26 | 0.133761468618694 | 0.267522937237388 | 0.866238531381306 |
27 | 0.0963330089510411 | 0.192666017902082 | 0.903666991048959 |
28 | 0.0978097114566037 | 0.195619422913207 | 0.902190288543396 |
29 | 0.076211292920423 | 0.152422585840846 | 0.923788707079577 |
30 | 0.0518537922290299 | 0.10370758445806 | 0.94814620777097 |
31 | 0.0341071672262027 | 0.0682143344524054 | 0.965892832773797 |
32 | 0.0245616664373275 | 0.049123332874655 | 0.975438333562673 |
33 | 0.0152462403967432 | 0.0304924807934864 | 0.984753759603257 |
34 | 0.0100827241603324 | 0.0201654483206649 | 0.989917275839668 |
35 | 0.00603022038150241 | 0.0120604407630048 | 0.993969779618498 |
36 | 0.00468977322209027 | 0.00937954644418054 | 0.99531022677791 |
37 | 0.00510792582601034 | 0.0102158516520207 | 0.99489207417399 |
38 | 0.00297200449561002 | 0.00594400899122003 | 0.99702799550439 |
39 | 0.00166016237541006 | 0.00332032475082012 | 0.99833983762459 |
40 | 0.00117863213889553 | 0.00235726427779107 | 0.998821367861104 |
41 | 0.0032531281888321 | 0.00650625637766419 | 0.996746871811168 |
42 | 0.00370255237372666 | 0.00740510474745332 | 0.996297447626273 |
43 | 0.002290974751551 | 0.00458194950310201 | 0.997709025248449 |
44 | 0.00136297380234991 | 0.00272594760469982 | 0.99863702619765 |
45 | 0.00917760509228537 | 0.0183552101845707 | 0.990822394907715 |
46 | 0.0638762980187628 | 0.127752596037526 | 0.936123701981237 |
47 | 0.0543828170875282 | 0.108765634175056 | 0.945617182912472 |
48 | 0.0766737858449617 | 0.153347571689923 | 0.923326214155038 |
49 | 0.0796767916882844 | 0.159353583376569 | 0.920323208311716 |
50 | 0.0761933944007323 | 0.152386788801465 | 0.923806605599268 |
51 | 0.0735766566214948 | 0.14715331324299 | 0.926423343378505 |
52 | 0.0652916327339253 | 0.130583265467851 | 0.934708367266075 |
53 | 0.0506603989766997 | 0.101320797953399 | 0.9493396010233 |
54 | 0.0235980172443451 | 0.0471960344886901 | 0.976401982755655 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 8 | 0.163265306122449 | NOK |
5% type I error level | 15 | 0.306122448979592 | NOK |
10% type I error level | 16 | 0.326530612244898 | NOK |