Multiple Linear Regression - Estimated Regression Equation |
CompendiumView_PR[t] = + 34.3769493316789 -8.3233342610947Month[t] + 0.115223392216434Pageviews[t] -0.107160701551852CourseCompView[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) | 34.3769493316789 | 104.302265 | 0.3296 | 0.74294 | 0.37147 |
Month | -8.3233342610947 | 10.674056 | -0.7798 | 0.438808 | 0.219404 |
Pageviews | 0.115223392216434 | 0.042643 | 2.702 | 0.009104 | 0.004552 |
CourseCompView | -0.107160701551852 | 0.098106 | -1.0923 | 0.279381 | 0.13969 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.614519198590921 |
R-squared | 0.377633845436828 |
Adjusted R-squared | 0.344292801442372 |
F-TEST (value) | 11.326395343218 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 56 |
p-value | 6.53832924979447e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 60.7700095870544 |
Sum Squared Residuals | 206807.667651798 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 70 | 58.2481260816387 | 11.7518739183613 |
2 | 44 | 12.6545539285582 | 31.3454460714418 |
3 | 35 | 41.0405527099949 | -6.04055270999493 |
4 | 119 | 89.3338060347261 | 29.6661939652739 |
5 | 30 | 17.6565104159247 | 12.3434895840753 |
6 | 23 | -15.4411879889535 | 38.4411879889535 |
7 | 46 | 121.600177880247 | -75.6001778802474 |
8 | 39 | -20.0347145228871 | 59.0347145228871 |
9 | 58 | 46.5007769805236 | 11.4992230194764 |
10 | 51 | 39.5648002555851 | 11.4351997444149 |
11 | 65 | 46.5739451708839 | 18.4260548291161 |
12 | 40 | 37.5397593140559 | 2.46024068594407 |
13 | 41 | 41.9022350891775 | -0.902235089177516 |
14 | 76 | 81.7514938556365 | -5.7514938556365 |
15 | 31 | 54.3533986172893 | -23.3533986172893 |
16 | 82 | 183.249678840921 | -101.249678840921 |
17 | 36 | 55.4216490042333 | -19.4216490042333 |
18 | 62 | 86.9540067039553 | -24.9540067039553 |
19 | 28 | 8.34221066222282 | 19.6577893377772 |
20 | 38 | 78.3157913431278 | -40.3157913431277 |
21 | 70 | 55.6859760476314 | 14.3140239523686 |
22 | 76 | 74.3015852045513 | 1.69841479544868 |
23 | 33 | 20.5979308227554 | 12.4020691772446 |
24 | 40 | 30.7305521690648 | 9.26944783093524 |
25 | 126 | 112.077819200511 | 13.9221807994889 |
26 | 56 | 89.7875355663632 | -33.7875355663632 |
27 | 63 | 82.0941020827681 | -19.0941020827681 |
28 | 46 | 57.8496976104998 | -11.8496976104998 |
29 | 35 | 26.8925728346896 | 8.1074271653104 |
30 | 108 | 69.1433464125091 | 38.8566535874909 |
31 | 34 | 55.0057749507806 | -21.0057749507806 |
32 | 54 | 41.1714945522575 | 12.8285054477425 |
33 | 35 | 44.6151475032046 | -9.61514750320457 |
34 | 23 | 6.02129352497709 | 16.9787064750229 |
35 | 46 | 99.2823056967346 | -53.2823056967346 |
36 | 49 | 67.179253324626 | -18.179253324626 |
37 | 56 | 107.8947590476 | -51.8947590476003 |
38 | 38 | 39.721657302109 | -1.72165730210899 |
39 | 19 | -1.28319201508881 | 20.2831920150888 |
40 | 29 | 100.129786869952 | -71.1297868699517 |
41 | 26 | 92.1600176656059 | -66.1600176656059 |
42 | 52 | 30.6909695586128 | 21.3090304413872 |
43 | 54 | 45.4879399063039 | 8.51206009369613 |
44 | 45 | 44.8465905770341 | 0.1534094229659 |
45 | 56 | 61.4698457188973 | -5.46984571889731 |
46 | 596 | 216.751242621899 | 379.248757378101 |
47 | 57 | 21.5556492633075 | 35.4443507366925 |
48 | 55 | 81.9656883902484 | -26.9656883902484 |
49 | 99 | 154.132335548185 | -55.1323355481853 |
50 | 51 | 45.9686540129267 | 5.03134598707333 |
51 | 21 | 42.1621653658078 | -21.1621653658078 |
52 | 20 | -15.0666236782204 | 35.0666236782204 |
53 | 58 | 89.4525684823476 | -31.4525684823476 |
54 | 21 | 9.54383163403686 | 11.4561683659631 |
55 | 66 | 31.4968170775224 | 34.5031829224776 |
56 | 47 | 75.1239504198076 | -28.1239504198076 |
57 | 55 | 116.222348590705 | -61.2223485907054 |
58 | 158 | 162.224477565711 | -4.22447756571063 |
59 | 46 | 76.0974849463666 | -30.0974849463666 |
60 | 45 | 51.2870772475362 | -6.28707724753622 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.0203253589451159 | 0.0406507178902317 | 0.979674641054884 |
8 | 0.0938779789920232 | 0.187755957984046 | 0.906122021007977 |
9 | 0.0427137689793212 | 0.0854275379586423 | 0.957286231020679 |
10 | 0.016769074190865 | 0.0335381483817301 | 0.983230925809135 |
11 | 0.00703049110704129 | 0.0140609822140826 | 0.992969508892959 |
12 | 0.00266522299995199 | 0.00533044599990399 | 0.997334777000048 |
13 | 0.00100355432052248 | 0.00200710864104495 | 0.998996445679478 |
14 | 0.00032487965963171 | 0.000649759319263419 | 0.999675120340368 |
15 | 0.000197820832727453 | 0.000395641665454906 | 0.999802179167273 |
16 | 0.000108075780762462 | 0.000216151561524925 | 0.999891924219238 |
17 | 4.22104934977694e-05 | 8.44209869955388e-05 | 0.999957789506502 |
18 | 1.31031464268146e-05 | 2.62062928536292e-05 | 0.999986896853573 |
19 | 4.1136993181098e-06 | 8.22739863621961e-06 | 0.999995886300682 |
20 | 1.36668367996788e-06 | 2.73336735993576e-06 | 0.99999863331632 |
21 | 7.72253776696635e-07 | 1.54450755339327e-06 | 0.999999227746223 |
22 | 2.84258574492621e-07 | 5.68517148985243e-07 | 0.999999715741426 |
23 | 8.81335926705405e-08 | 1.76267185341081e-07 | 0.999999911866407 |
24 | 2.41332841318768e-08 | 4.82665682637536e-08 | 0.999999975866716 |
25 | 1.08816491782339e-07 | 2.17632983564678e-07 | 0.999999891183508 |
26 | 3.721859062641e-08 | 7.443718125282e-08 | 0.999999962781409 |
27 | 1.05414419044863e-08 | 2.10828838089726e-08 | 0.999999989458558 |
28 | 2.75766212984125e-09 | 5.51532425968249e-09 | 0.999999997242338 |
29 | 7.73519267865426e-10 | 1.54703853573085e-09 | 0.999999999226481 |
30 | 2.70230508740966e-09 | 5.40461017481933e-09 | 0.999999997297695 |
31 | 1.0018446706163e-09 | 2.0036893412326e-09 | 0.999999998998155 |
32 | 2.91985881302343e-10 | 5.83971762604686e-10 | 0.999999999708014 |
33 | 8.32791329384185e-11 | 1.66558265876837e-10 | 0.999999999916721 |
34 | 3.2322992733155e-11 | 6.46459854663101e-11 | 0.999999999967677 |
35 | 2.66895450913288e-11 | 5.33790901826575e-11 | 0.99999999997331 |
36 | 7.59248905901743e-12 | 1.51849781180349e-11 | 0.999999999992408 |
37 | 3.76941749933773e-12 | 7.53883499867546e-12 | 0.999999999996231 |
38 | 8.9988631747589e-13 | 1.79977263495178e-12 | 0.9999999999991 |
39 | 2.94708194717662e-13 | 5.89416389435324e-13 | 0.999999999999705 |
40 | 8.45813368659331e-13 | 1.69162673731866e-12 | 0.999999999999154 |
41 | 2.22047115614123e-11 | 4.44094231228245e-11 | 0.999999999977795 |
42 | 5.79901718506254e-12 | 1.15980343701251e-11 | 0.999999999994201 |
43 | 1.35977043641774e-12 | 2.71954087283548e-12 | 0.99999999999864 |
44 | 4.15511603977446e-13 | 8.31023207954891e-13 | 0.999999999999584 |
45 | 6.76729949976645e-13 | 1.35345989995329e-12 | 0.999999999999323 |
46 | 0.99904227779746 | 0.00191544440507983 | 0.000957722202539916 |
47 | 0.998403622058416 | 0.00319275588316786 | 0.00159637794158393 |
48 | 0.995866087681396 | 0.00826782463720823 | 0.00413391231860411 |
49 | 0.991694753186005 | 0.0166104936279909 | 0.00830524681399545 |
50 | 0.979635071335731 | 0.040729857328537 | 0.0203649286642685 |
51 | 0.962541501626732 | 0.0749169967465356 | 0.0374584983732678 |
52 | 0.919122325976711 | 0.161755348046579 | 0.0808776740232893 |
53 | 0.933272091144402 | 0.133455817711197 | 0.0667279088555983 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 37 | 0.787234042553192 | NOK |
5% type I error level | 42 | 0.893617021276596 | NOK |
10% type I error level | 44 | 0.936170212765957 | NOK |