Multiple Linear Regression - Estimated Regression Equation |
Q1[t] = + 50.0313369097804 + 16.4922088057442gender[t] -0.0467799991133598t + 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) | 50.0313369097804 | 4.91902 | 10.171 | 0 | 0 |
gender | 16.4922088057442 | 4.303411 | 3.8324 | 0.00022 | 0.00011 |
t | -0.0467799991133598 | 0.070445 | -0.6641 | 0.508147 | 0.254073 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.358961497027954 |
R-squared | 0.128853356348550 |
Adjusted R-squared | 0.111772049610286 |
F-TEST (value) | 7.54353038224565 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 102 |
p-value | 0.000880348550419296 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 21.8780400356169 |
Sum Squared Residuals | 48822.1608516056 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 55 | 66.476765716411 | -11.4767657164110 |
2 | 20 | 49.9377769115537 | -29.9377769115537 |
3 | 80 | 49.8909969124403 | 30.1090030875597 |
4 | 52 | 49.8442169133269 | 2.15578308667306 |
5 | 75 | 66.2896457199578 | 8.71035428004222 |
6 | 30 | 66.2428657208444 | -36.2428657208444 |
7 | 90 | 66.196085721731 | 23.8039142782689 |
8 | 68 | 66.1493057226177 | 1.85069427738230 |
9 | 24 | 49.6103169177601 | -25.6103169177601 |
10 | 60 | 49.5635369186468 | 10.4364630813532 |
11 | 65 | 66.0089657252776 | -1.00896572527762 |
12 | 60 | 49.4699769204201 | 10.5300230795799 |
13 | 80 | 65.9154057270509 | 14.0845942729491 |
14 | 65 | 65.8686257279375 | -0.868625727937538 |
15 | 90 | 49.32963692308 | 40.67036307692 |
16 | 65 | 65.7750657297108 | -0.775065729710819 |
17 | 76 | 65.7282857305975 | 10.2717142694025 |
18 | 70 | 65.6815057314841 | 4.3184942685159 |
19 | 38 | 49.1425169266265 | -11.1425169266265 |
20 | 60 | 65.5879457332574 | -5.58794573325738 |
21 | 10 | 49.0489569283998 | -39.0489569283998 |
22 | 5 | 49.0021769292865 | -44.0021769292865 |
23 | 93 | 65.4476057359173 | 27.5523942640827 |
24 | 70 | 48.9086169310597 | 21.0913830689403 |
25 | 61 | 65.3540457376906 | -4.35404573769058 |
26 | 72 | 65.3072657385772 | 6.69273426142278 |
27 | 40 | 48.7682769337197 | -8.76827693371967 |
28 | 75 | 65.2137057403505 | 9.7862942596495 |
29 | 100 | 65.1669257412372 | 34.8330742587629 |
30 | 29 | 48.6279369363796 | -19.6279369363796 |
31 | 70 | 65.0733657430104 | 4.92663425698958 |
32 | 25 | 48.5343769381529 | -23.5343769381529 |
33 | 70 | 64.9798057447837 | 5.0201942552163 |
34 | 82 | 48.4408169399262 | 33.5591830600738 |
35 | 40 | 48.3940369408128 | -8.39403694081279 |
36 | 50 | 64.8394657474436 | -14.8394657474436 |
37 | 70 | 64.7926857483303 | 5.20731425166974 |
38 | 91 | 64.7459057492169 | 26.2540942507831 |
39 | 10 | 48.2069169443594 | -38.2069169443594 |
40 | 25 | 48.160136945246 | -23.160136945246 |
41 | 56 | 48.1133569461326 | 7.88664305386737 |
42 | 30 | 48.0665769470193 | -18.0665769470193 |
43 | 74 | 48.0197969479059 | 25.9802030520941 |
44 | 60 | 47.9730169487925 | 12.0269830512074 |
45 | 80 | 47.9262369496792 | 32.0737630503208 |
46 | 80 | 64.37166575631 | 15.6283342436900 |
47 | 60 | 64.3248857571967 | -4.32488575719667 |
48 | 64 | 64.2781057580833 | -0.278105758083305 |
49 | 40 | 64.23132575897 | -24.2313257589699 |
50 | 80 | 64.1845457598566 | 15.8154542401434 |
51 | 71 | 64.1377657607432 | 6.86223423925677 |
52 | 65 | 64.0909857616299 | 0.909014238370135 |
53 | 90 | 47.5519969567723 | 42.4480030432277 |
54 | 68 | 63.9974257634031 | 4.00257423659685 |
55 | 76 | 63.9506457642898 | 12.0493542357102 |
56 | 25 | 63.9038657651764 | -38.9038657651764 |
57 | 79 | 63.8570857660631 | 15.1429142339369 |
58 | 40 | 47.3180969612055 | -7.31809696120551 |
59 | 61 | 63.7635257678363 | -2.76352576783635 |
60 | 27 | 63.716745768723 | -36.716745768723 |
61 | 70 | 47.1777569638654 | 22.8222430361346 |
62 | 40 | 47.1309769647521 | -7.13097696475207 |
63 | 13 | 47.0841969656387 | -34.0841969656387 |
64 | 15 | 47.0374169665254 | -32.0374169665254 |
65 | 38 | 63.4828457731562 | -25.4828457731562 |
66 | 47 | 46.9438569682986 | 0.0561430317013662 |
67 | 65 | 63.3892857749295 | 1.61071422507053 |
68 | 62 | 63.3425057758161 | -1.34250577581611 |
69 | 50 | 46.8035169709586 | 3.19648302904144 |
70 | 80 | 63.2489457775894 | 16.7510542224106 |
71 | 87 | 63.202165778476 | 23.7978342215240 |
72 | 40 | 63.1553857793627 | -23.1553857793627 |
73 | 80 | 63.1086057802493 | 16.8913942197507 |
74 | 20 | 46.5696169753918 | -26.5696169753918 |
75 | 60 | 63.0150457820226 | -3.01504578202259 |
76 | 48 | 62.9682657829092 | -14.9682657829092 |
77 | 70 | 62.9214857837959 | 7.07851421620413 |
78 | 91 | 62.8747057846825 | 28.1252942153175 |
79 | 10 | 46.335716979825 | -36.3357169798250 |
80 | 50 | 46.2889369807116 | 3.7110630192884 |
81 | 70 | 46.2421569815982 | 23.7578430184018 |
82 | 45 | 62.6875857882291 | -17.6875857882291 |
83 | 20 | 62.6408057891157 | -42.6408057891157 |
84 | 10 | 46.1018169842582 | -36.1018169842582 |
85 | 90 | 62.547245790889 | 27.452754209111 |
86 | 80 | 62.5004657917756 | 17.4995342082244 |
87 | 74 | 45.9614769869181 | 28.0385230130819 |
88 | 71 | 45.9146969878047 | 25.0853030121953 |
89 | 40 | 45.8679169886914 | -5.86791698869136 |
90 | 29 | 62.3133457953222 | -33.3133457953222 |
91 | 60 | 62.2665657962088 | -2.26656579620883 |
92 | 31 | 45.7275769913513 | -14.7275769913513 |
93 | 67 | 45.6807969922379 | 21.3192030077621 |
94 | 82 | 45.6340169931246 | 36.3659830068754 |
95 | 40 | 62.0794457997554 | -22.0794457997554 |
96 | 30 | 62.032665800642 | -32.032665800642 |
97 | 70 | 45.4936769957845 | 24.5063230042155 |
98 | 63 | 45.4468969966711 | 17.5531030033289 |
99 | 35 | 45.4001169975578 | -10.4001169975578 |
100 | 35 | 61.8455458041886 | -26.8455458041886 |
101 | 70 | 45.306556999331 | 24.6934430006690 |
102 | 60 | 61.7519858059619 | -1.75198580596188 |
103 | 80 | 61.7052058068485 | 18.2947941931515 |
104 | 70 | 61.6584258077352 | 8.34157419226484 |
105 | 71 | 61.6116458086218 | 9.3883541913782 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.878795797461267 | 0.242408405077466 | 0.121204202538733 |
7 | 0.875782729908569 | 0.248434540182862 | 0.124217270091431 |
8 | 0.796726403328559 | 0.406547193342882 | 0.203273596671441 |
9 | 0.824622769974233 | 0.350754460051534 | 0.175377230025767 |
10 | 0.767583414941772 | 0.464833170116455 | 0.232416585058228 |
11 | 0.678079032650712 | 0.643841934698575 | 0.321920967349287 |
12 | 0.59211232429718 | 0.81577535140564 | 0.40788767570282 |
13 | 0.509920306697048 | 0.980159386605905 | 0.490079693302952 |
14 | 0.42527771164438 | 0.85055542328876 | 0.57472228835562 |
15 | 0.490835600938214 | 0.981671201876428 | 0.509164399061786 |
16 | 0.430328440704781 | 0.860656881409562 | 0.569671559295219 |
17 | 0.35085071094332 | 0.70170142188664 | 0.64914928905668 |
18 | 0.285278775161203 | 0.570557550322405 | 0.714721224838797 |
19 | 0.312481826224507 | 0.624963652449015 | 0.687518173775493 |
20 | 0.265721896929803 | 0.531443793859605 | 0.734278103070197 |
21 | 0.462045174021886 | 0.924090348043773 | 0.537954825978114 |
22 | 0.60905752550716 | 0.78188494898568 | 0.39094247449284 |
23 | 0.655884850625971 | 0.688230298748058 | 0.344115149374029 |
24 | 0.667618466833235 | 0.66476306633353 | 0.332381533166765 |
25 | 0.608402669071449 | 0.783194661857101 | 0.391597330928551 |
26 | 0.544792192894675 | 0.91041561421065 | 0.455207807105325 |
27 | 0.483875439411012 | 0.967750878822025 | 0.516124560588988 |
28 | 0.425878352901707 | 0.851756705803413 | 0.574121647098293 |
29 | 0.490135462442746 | 0.980270924885493 | 0.509864537557254 |
30 | 0.47202968002773 | 0.94405936005546 | 0.52797031997227 |
31 | 0.410905666672776 | 0.821811333345551 | 0.589094333327224 |
32 | 0.404823786977301 | 0.809647573954601 | 0.595176213022699 |
33 | 0.34676118612332 | 0.69352237224664 | 0.65323881387668 |
34 | 0.445141482218927 | 0.890282964437853 | 0.554858517781073 |
35 | 0.392778725036848 | 0.785557450073696 | 0.607221274963152 |
36 | 0.376737219185625 | 0.75347443837125 | 0.623262780814375 |
37 | 0.322715397010365 | 0.645430794020729 | 0.677284602989635 |
38 | 0.333555798241835 | 0.66711159648367 | 0.666444201758165 |
39 | 0.434731225052095 | 0.86946245010419 | 0.565268774947905 |
40 | 0.428580908599056 | 0.857161817198112 | 0.571419091400944 |
41 | 0.389018515953399 | 0.778037031906797 | 0.610981484046601 |
42 | 0.366713597814166 | 0.733427195628333 | 0.633286402185834 |
43 | 0.403737381570018 | 0.807474763140037 | 0.596262618429982 |
44 | 0.367281419743842 | 0.734562839487684 | 0.632718580256158 |
45 | 0.427705314676918 | 0.855410629353836 | 0.572294685323082 |
46 | 0.394309129634731 | 0.788618259269462 | 0.605690870365269 |
47 | 0.353019794111570 | 0.706039588223139 | 0.64698020588843 |
48 | 0.307317196269744 | 0.614634392539488 | 0.692682803730256 |
49 | 0.330193778873095 | 0.66038755774619 | 0.669806221126905 |
50 | 0.306109795930223 | 0.612219591860447 | 0.693890204069777 |
51 | 0.265649537702238 | 0.531299075404476 | 0.734350462297762 |
52 | 0.224953169987447 | 0.449906339974894 | 0.775046830012553 |
53 | 0.370088839276916 | 0.740177678553832 | 0.629911160723084 |
54 | 0.329958479874097 | 0.659916959748193 | 0.670041520125903 |
55 | 0.310907188537979 | 0.621814377075958 | 0.689092811462021 |
56 | 0.414263791601545 | 0.82852758320309 | 0.585736208398455 |
57 | 0.407179989640992 | 0.814359979281983 | 0.592820010359008 |
58 | 0.356558150249602 | 0.713116300499204 | 0.643441849750398 |
59 | 0.313152567529503 | 0.626305135059006 | 0.686847432470497 |
60 | 0.37768178379388 | 0.75536356758776 | 0.62231821620612 |
61 | 0.403580640386880 | 0.807161280773759 | 0.59641935961312 |
62 | 0.351317167894595 | 0.70263433578919 | 0.648682832105405 |
63 | 0.399403184302114 | 0.798806368604227 | 0.600596815697886 |
64 | 0.444121620900521 | 0.888243241801043 | 0.555878379099479 |
65 | 0.442510986949166 | 0.885021973898332 | 0.557489013050834 |
66 | 0.38680114044867 | 0.77360228089734 | 0.61319885955133 |
67 | 0.333916201015247 | 0.667832402030495 | 0.666083798984753 |
68 | 0.282032732163145 | 0.56406546432629 | 0.717967267836855 |
69 | 0.236274891682798 | 0.472549783365595 | 0.763725108317202 |
70 | 0.230178441308229 | 0.460356882616457 | 0.769821558691771 |
71 | 0.268134140892007 | 0.536268281784014 | 0.731865859107993 |
72 | 0.248405363302791 | 0.496810726605582 | 0.75159463669721 |
73 | 0.258892236623465 | 0.517784473246931 | 0.741107763376535 |
74 | 0.270913340773641 | 0.541826681547282 | 0.729086659226359 |
75 | 0.224821427264756 | 0.449642854529511 | 0.775178572735244 |
76 | 0.186426737307574 | 0.372853474615149 | 0.813573262692426 |
77 | 0.165058010132899 | 0.330116020265798 | 0.834941989867101 |
78 | 0.278688864376440 | 0.557377728752881 | 0.72131113562356 |
79 | 0.368641187591506 | 0.737282375183013 | 0.631358812408494 |
80 | 0.310225549329449 | 0.620451098658899 | 0.68977445067055 |
81 | 0.319887602198721 | 0.639775204397442 | 0.680112397801279 |
82 | 0.268697254134773 | 0.537394508269547 | 0.731302745865227 |
83 | 0.337506591688212 | 0.675013183376424 | 0.662493408311788 |
84 | 0.55660152813987 | 0.88679694372026 | 0.44339847186013 |
85 | 0.669441234005733 | 0.661117531988535 | 0.330558765994267 |
86 | 0.779972927989275 | 0.44005414402145 | 0.220027072010725 |
87 | 0.818388664119635 | 0.363222671760730 | 0.181611335880365 |
88 | 0.857600631240944 | 0.284798737518112 | 0.142399368759056 |
89 | 0.804608860722844 | 0.390782278554313 | 0.195391139277156 |
90 | 0.765825359077205 | 0.46834928184559 | 0.234174640922795 |
91 | 0.79041540846136 | 0.419169183077281 | 0.209584591538640 |
92 | 0.785015683939536 | 0.429968632120928 | 0.214984316060464 |
93 | 0.74679480080459 | 0.50641039839082 | 0.25320519919541 |
94 | 0.904290341620881 | 0.191419316758238 | 0.0957096583791188 |
95 | 0.865501549507816 | 0.268996900984369 | 0.134498450492185 |
96 | 0.789379545608882 | 0.421240908782237 | 0.210620454391118 |
97 | 0.845679402755769 | 0.308641194488463 | 0.154320597244231 |
98 | 0.89031048295367 | 0.219379034092660 | 0.109689517046330 |
99 | 0.85751899531626 | 0.284962009367482 | 0.142481004683741 |
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 |