Multiple Linear Regression - Estimated Regression Equation |
IQ[t] = + 118.482164017296 + 0.181842599683854CCMIDSA[t] + 0.2880589720523HC[t] -0.0136404465839835TOTSA[t] -0.00461933057322705TOTVOL[t] + 1.09946804277519`SEX `[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) | 118.482164017296 | 75.511825 | 1.5691 | 0.122477 | 0.061239 |
CCMIDSA | 0.181842599683854 | 2.619733 | 0.0694 | 0.944918 | 0.472459 |
HC | 0.2880589720523 | 1.267239 | 0.2273 | 0.821039 | 0.41052 |
TOTSA | -0.0136404465839835 | 0.013631 | -1.0007 | 0.321437 | 0.160718 |
TOTVOL | -0.00461933057322705 | 0.01772 | -0.2607 | 0.795325 | 0.397663 |
`SEX ` | 1.09946804277519 | 4.935794 | 0.2228 | 0.824567 | 0.412284 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.156351358846663 |
R-squared | 0.0244457474131979 |
Adjusted R-squared | -0.065883350048543 |
F-TEST (value) | 0.270629820291871 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 54 |
p-value | 0.927229767110673 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 18.6447987549234 |
Sum Squared Residuals | 18771.9401130261 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 96 | 106.793286892347 | -10.7932868923473 |
2 | 89 | 109.916927094823 | -20.9169270948234 |
3 | 87 | 106.354150045625 | -19.354150045625 |
4 | 87 | 106.858823657666 | -19.8588236576656 |
5 | 101 | 101.984497528501 | -0.984497528500557 |
6 | 103 | 102.499752182708 | 0.500247817292202 |
7 | 103 | 108.030157104479 | -5.03015710447932 |
8 | 96 | 107.635480770294 | -11.6354807702944 |
9 | 127 | 108.603685356175 | 18.3963146438254 |
10 | 126 | 109.381772761899 | 16.6182272381014 |
11 | 101 | 109.054338590193 | -8.054338590193 |
12 | 96 | 108.032642215507 | -12.0326422155068 |
13 | 93 | 103.143030866442 | -10.1430308664424 |
14 | 88 | 104.581688332143 | -16.5816883321431 |
15 | 94 | 103.997970191938 | -9.99797019193814 |
16 | 85 | 101.415507234279 | -16.4155072342793 |
17 | 97 | 108.299155863807 | -11.2991558638066 |
18 | 114 | 107.052947173455 | 6.94705282654515 |
19 | 113 | 108.255993751622 | 4.74400624837847 |
20 | 124 | 105.584070982731 | 18.4159290172692 |
21 | 129 | 102.797474416089 | 26.2025255839105 |
22 | 110 | 100.652576249588 | 9.34742375041235 |
23 | 102 | 102.04839386924 | -0.0483938692401484 |
24 | 134 | 105.629210230745 | 28.3707897692549 |
25 | 119 | 109.970138227346 | 9.0298617726536 |
26 | 139 | 104.257715324958 | 34.7422846750419 |
27 | 75 | 105.56865570804 | -30.5686557080404 |
28 | 138 | 105.013177492891 | 32.9868225071086 |
29 | 132 | 106.890596301431 | 25.1094036985688 |
30 | 122 | 102.668724367893 | 19.3312756321067 |
31 | 102 | 106.154449013434 | -4.15444901343387 |
32 | 78 | 103.435329622896 | -25.4353296228961 |
33 | 119 | 110.25600285467 | 8.74399714532964 |
34 | 136 | 104.291169660022 | 31.7088303399777 |
35 | 109 | 108.333318136772 | 0.666681863228466 |
36 | 85 | 109.020900878017 | -24.0209008780171 |
37 | 119 | 102.605390950182 | 16.3946090498177 |
38 | 136 | 109.084840770579 | 26.9151592294214 |
39 | 72 | 102.826490035275 | -30.8264900352755 |
40 | 125 | 98.6864568676393 | 26.3135431323607 |
41 | 87 | 100.696847374539 | -13.6968473745386 |
42 | 106 | 105.097329448117 | 0.902670551882716 |
43 | 99 | 102.829968125673 | -3.82996812567288 |
44 | 123 | 107.119689417923 | 15.8803105820768 |
45 | 99 | 100.347663439815 | -1.34766343981477 |
46 | 88 | 105.880315601617 | -17.8803156016167 |
47 | 97 | 104.33315454003 | -7.33315454003028 |
48 | 119 | 105.349124552393 | 13.6508754476065 |
49 | 77 | 104.987738305224 | -27.9877383052241 |
50 | 128 | 105.671923991532 | 22.3280760084682 |
51 | 100 | 107.033114887306 | -7.03311488730606 |
52 | 116 | 101.291276415481 | 14.7087235845191 |
53 | 76 | 105.314413426004 | -29.3144134260039 |
54 | 76 | 99.971085199564 | -23.9710851995641 |
55 | 100 | 105.199013825324 | -5.19901382532362 |
56 | 105 | 103.021111318769 | 1.97888868123088 |
57 | 120 | 106.660455462097 | 13.3395445379032 |
58 | 97 | 103.182065420343 | -6.18206542034319 |
59 | 95 | 102.288854857889 | -7.28885485788868 |
60 | 101 | 106.057964816017 | -5.0579648160173 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.377475459957822 | 0.754950919915644 | 0.622524540042178 |
10 | 0.275387570542074 | 0.550775141084149 | 0.724612429457926 |
11 | 0.157240981882068 | 0.314481963764136 | 0.842759018117932 |
12 | 0.0982970068560934 | 0.196594013712187 | 0.901702993143907 |
13 | 0.19932004249951 | 0.39864008499902 | 0.80067995750049 |
14 | 0.131520918625056 | 0.263041837250112 | 0.868479081374944 |
15 | 0.0883047705498836 | 0.176609541099767 | 0.911695229450116 |
16 | 0.0607962169143201 | 0.12159243382864 | 0.93920378308568 |
17 | 0.0366618523088635 | 0.073323704617727 | 0.963338147691137 |
18 | 0.0416130421479261 | 0.0832260842958523 | 0.958386957852074 |
19 | 0.0238347534708576 | 0.0476695069417152 | 0.976165246529142 |
20 | 0.03988365577381 | 0.07976731154762 | 0.96011634422619 |
21 | 0.0864602460265231 | 0.172920492053046 | 0.913539753973477 |
22 | 0.101714070097258 | 0.203428140194517 | 0.898285929902742 |
23 | 0.0673491471971966 | 0.134698294394393 | 0.932650852802803 |
24 | 0.106523808108599 | 0.213047616217197 | 0.893476191891401 |
25 | 0.0832389259263462 | 0.166477851852692 | 0.916761074073654 |
26 | 0.201441231543728 | 0.402882463087455 | 0.798558768456272 |
27 | 0.253837755930518 | 0.507675511861037 | 0.746162244069482 |
28 | 0.354111492085601 | 0.708222984171202 | 0.645888507914399 |
29 | 0.402763066459423 | 0.805526132918845 | 0.597236933540577 |
30 | 0.477678009765792 | 0.955356019531585 | 0.522321990234208 |
31 | 0.410193023616915 | 0.820386047233831 | 0.589806976383085 |
32 | 0.468128763504093 | 0.936257527008187 | 0.531871236495907 |
33 | 0.412742240735192 | 0.825484481470384 | 0.587257759264808 |
34 | 0.602490117735477 | 0.795019764529046 | 0.397509882264523 |
35 | 0.541558533474338 | 0.916882933051323 | 0.458441466525662 |
36 | 0.591889626975473 | 0.816220746049055 | 0.408110373024528 |
37 | 0.658131640096466 | 0.683736719807068 | 0.341868359903534 |
38 | 0.698844239288067 | 0.602311521423866 | 0.301155760711933 |
39 | 0.798859047755091 | 0.402281904489818 | 0.201140952244909 |
40 | 0.945243038704513 | 0.109513922590973 | 0.0547569612954867 |
41 | 0.933863941805388 | 0.132272116389225 | 0.0661360581946124 |
42 | 0.917665427543703 | 0.164669144912595 | 0.0823345724562974 |
43 | 0.9071263105852 | 0.185747378829601 | 0.0928736894148005 |
44 | 0.863916271838551 | 0.272167456322898 | 0.136083728161449 |
45 | 0.793919206897294 | 0.412161586205413 | 0.206080793102706 |
46 | 0.736045742781816 | 0.527908514436367 | 0.263954257218184 |
47 | 0.652630252431305 | 0.694739495137389 | 0.347369747568695 |
48 | 0.573010451999894 | 0.853979096000212 | 0.426989548000106 |
49 | 0.624877902119496 | 0.750244195761008 | 0.375122097880504 |
50 | 0.54058889516143 | 0.91882220967714 | 0.45941110483857 |
51 | 0.390085266582523 | 0.780170533165046 | 0.609914733417477 |
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 | 1 | 0.0232558139534884 | OK |
10% type I error level | 4 | 0.0930232558139535 | OK |