Multiple Linear Regression - Estimated Regression Equation |
SWS[t] = + 11.6991088266751 -1.81485807108616logBodyWeight[t] -0.806216977700702danger[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) | 11.6991088266751 | 0.941095 | 12.4314 | 0 | 0 |
logBodyWeight | -1.81485807108616 | 0.37295 | -4.8662 | 2.3e-05 | 1.1e-05 |
danger | -0.806216977700702 | 0.336956 | -2.3927 | 0.022068 | 0.011034 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.757704462101836 |
R-squared | 0.574116051889033 |
Adjusted R-squared | 0.550455832549535 |
F-TEST (value) | 24.2650350637540 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 36 |
p-value | 2.12443225677816e-07 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.66067286479158 |
Sum Squared Residuals | 254.850483363775 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 6.3 | 9.28045789357301 | -2.98045789357301 |
2 | 2.1 | 2.29278169486877 | -0.192781694868766 |
3 | 9.1 | 6.61718376491724 | 2.48281623508276 |
4 | 15.8 | 13.8661230108089 | 1.93387698919113 |
5 | 5.2 | 4.47407594422986 | 0.725924055770137 |
6 | 10.9 | 9.95186253110323 | 0.948137468896768 |
7 | 8.3 | 7.77616711889143 | 0.523832881108567 |
8 | 11 | 9.1486621385267 | 1.85133786147330 |
9 | 3.2 | 2.8269753318786 | 0.373024668121403 |
10 | 6.3 | 12.934496472604 | -6.634496472604 |
11 | 6.6 | 10.277470900287 | -3.67747090028699 |
12 | 9.5 | 11.3552062172208 | -1.85520621722080 |
13 | 3.3 | 5.05126719865987 | -1.75126719865987 |
14 | 11 | 11.7578306654332 | -0.75783066543319 |
15 | 4.7 | 7.39127020431741 | -2.69127020431741 |
16 | 10.4 | 11.087473962934 | -0.687473962933999 |
17 | 7.4 | 8.44332843834749 | -1.04332843834749 |
18 | 2.1 | 2.73734856603801 | -0.637348566038007 |
19 | 17.9 | 14.5226079911467 | 3.37739200885327 |
20 | 6.1 | 7.63995476122413 | -1.53995476122413 |
21 | 11.9 | 12.2536890554075 | -0.353689055407468 |
22 | 13.8 | 10.4746596213507 | 3.32534037864933 |
23 | 14.3 | 9.9054856479547 | 4.39451435204530 |
24 | 15.2 | 10.6651772151551 | 4.53482278484494 |
25 | 10 | 6.65938284478613 | 3.34061715521387 |
26 | 11.9 | 9.70643488251008 | 2.19356511748992 |
27 | 6.5 | 4.33037366730319 | 2.16962633269681 |
28 | 7.5 | 6.94581931736357 | 0.554180682636432 |
29 | 10.6 | 10.2837876593084 | 0.316212340691585 |
30 | 7.4 | 9.75524262253983 | -2.35524262253983 |
31 | 8.4 | 8.57578919337183 | -0.17578919337183 |
32 | 5.7 | 10.3134214238171 | -4.61342142381713 |
33 | 4.9 | 8.27084690405355 | -3.37084690405355 |
34 | 3.2 | 4.5023797087825 | -1.30237970878250 |
35 | 11 | 10.1697173320324 | 0.83028266796761 |
36 | 4.9 | 8.73413116843393 | -3.83413116843393 |
37 | 13.2 | 11.8706204648351 | 1.32937953516495 |
38 | 9.7 | 7.34501081602949 | 2.35498918397051 |
39 | 12.8 | 9.9054856479547 | 2.89451435204530 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.487417526803156 | 0.974835053606313 | 0.512582473196844 |
7 | 0.314522213740217 | 0.629044427480433 | 0.685477786259783 |
8 | 0.2118515768924 | 0.4237031537848 | 0.7881484231076 |
9 | 0.118643467518244 | 0.237286935036488 | 0.881356532481756 |
10 | 0.686698425086663 | 0.626603149826674 | 0.313301574913337 |
11 | 0.715221599190928 | 0.569556801618144 | 0.284778400809072 |
12 | 0.641026074305609 | 0.717947851388783 | 0.358973925694391 |
13 | 0.585207314282749 | 0.829585371434502 | 0.414792685717251 |
14 | 0.493110145064986 | 0.986220290129972 | 0.506889854935014 |
15 | 0.465954702233024 | 0.931909404466048 | 0.534045297766976 |
16 | 0.372759433784775 | 0.745518867569549 | 0.627240566215225 |
17 | 0.291492451517491 | 0.582984903034983 | 0.708507548482509 |
18 | 0.216744753749360 | 0.433489507498721 | 0.78325524625064 |
19 | 0.307738487348193 | 0.615476974696387 | 0.692261512651807 |
20 | 0.263694927514196 | 0.527389855028392 | 0.736305072485804 |
21 | 0.188260290656231 | 0.376520581312463 | 0.811739709343769 |
22 | 0.227590134271699 | 0.455180268543397 | 0.772409865728301 |
23 | 0.339693245142691 | 0.679386490285382 | 0.660306754857309 |
24 | 0.503527562341589 | 0.992944875316822 | 0.496472437658411 |
25 | 0.539432558526066 | 0.921134882947867 | 0.460567441473934 |
26 | 0.512943958722153 | 0.974112082555693 | 0.487056041277847 |
27 | 0.490764509862756 | 0.981529019725511 | 0.509235490137244 |
28 | 0.390812098358292 | 0.781624196716584 | 0.609187901641708 |
29 | 0.288806797686366 | 0.577613595372732 | 0.711193202313634 |
30 | 0.24748037738106 | 0.49496075476212 | 0.75251962261894 |
31 | 0.155512051096041 | 0.311024102192082 | 0.844487948903959 |
32 | 0.293987548485065 | 0.58797509697013 | 0.706012451514935 |
33 | 0.333817069421878 | 0.667634138843755 | 0.666182930578122 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |