Multiple Linear Regression - Estimated Regression Equation |
Weeks[t] = + 4.04968116740675 + 0.0359306835960002UseLimit[t] -0.536696025497456Group[t] -0.112334358160203Used[t] + 0.298455401171062CorrectAnalysis[t] + 0.0612069699040022Useful[t] + 0.0445599453269788Outcome[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) | 4.04968116740675 | 0.037486 | 108.0305 | 0 | 0 |
UseLimit | 0.0359306835960002 | 0.041209 | 0.8719 | 0.384674 | 0.192337 |
Group | -0.536696025497456 | 0.010966 | -48.9421 | 0 | 0 |
Used | -0.112334358160203 | 0.04784 | -2.3481 | 0.0202 | 0.0101 |
CorrectAnalysis | 0.298455401171062 | 0.07968 | 3.7457 | 0.000258 | 0.000129 |
Useful | 0.0612069699040022 | 0.04571 | 1.339 | 0.182629 | 0.091315 |
Outcome | 0.0445599453269788 | 0.039745 | 1.1212 | 0.264052 | 0.132026 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.972973478998549 |
R-squared | 0.946677390834541 |
Adjusted R-squared | 0.944500957807379 |
F-TEST (value) | 434.96738885145 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.234730944280415 |
Sum Squared Residuals | 8.09949658180795 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 4 | 3.59347577083227 | 0.406524229167729 |
2 | 4 | 4.04968116740675 | -0.049681167406749 |
3 | 4 | 4.04968116740675 | -0.0496811674067502 |
4 | 4 | 4.04968116740675 | -0.049681167406749 |
5 | 4 | 4.04968116740675 | -0.0496811674067489 |
6 | 4 | 4.19137876623373 | -0.19137876623373 |
7 | 4 | 4.04968116740675 | -0.0496811674067489 |
8 | 4 | 3.51298514190929 | 0.487014858090707 |
9 | 4 | 4.09424111273373 | -0.0942411127337277 |
10 | 4 | 4.08561185100275 | -0.0856118510027493 |
11 | 4 | 3.54891582550529 | 0.451084174494707 |
12 | 4 | 4.04968116740675 | -0.0496811674067489 |
13 | 4 | 3.99855377915055 | 0.00144622084945182 |
14 | 4 | 3.54891582550529 | 0.451084174494707 |
15 | 4 | 4.04311372447753 | -0.043113724477527 |
16 | 4 | 3.50641769898007 | 0.493582301019929 |
17 | 4 | 3.79624383842015 | 0.203756161579845 |
18 | 4 | 3.54891582550529 | 0.451084174494707 |
19 | 4 | 4.09424111273373 | -0.0942411127337277 |
20 | 4 | 3.80487310015113 | 0.195126899848867 |
21 | 4 | 4.14681882090675 | -0.146818820906751 |
22 | 4 | 4.07904440807353 | -0.0790444080735274 |
23 | 4 | 4.15544808263773 | -0.15544808263773 |
24 | 4 | 4.19137876623373 | -0.19137876623373 |
25 | 4 | 3.44521072907607 | 0.554789270923931 |
26 | 4 | 3.99855377915055 | 0.00144622084945182 |
27 | 4 | 4.13017179632973 | -0.130171796329728 |
28 | 4 | 3.93734680924655 | 0.062653190753454 |
29 | 4 | 4.09424111273373 | -0.0942411127337277 |
30 | 4 | 4.11088813731075 | -0.110888137310751 |
31 | 4 | 4.04968116740675 | -0.0496811674067489 |
32 | 4 | 4.08561185100275 | -0.0856118510027493 |
33 | 4 | 4.14681882090675 | -0.146818820906751 |
34 | 4 | 3.55754508723627 | 0.442454912763728 |
35 | 4 | 4.04968116740675 | -0.0496811674067489 |
36 | 4 | 4.04968116740675 | -0.0496811674067489 |
37 | 4 | 3.49778843724909 | 0.502211562750908 |
38 | 4 | 3.98190675457352 | 0.0180932454264752 |
39 | 4 | 4.15544808263773 | -0.15544808263773 |
40 | 4 | 3.5741921118133 | 0.425807888186705 |
41 | 4 | 4.34156912564859 | -0.341569125648589 |
42 | 4 | 3.98190675457352 | 0.0180932454264752 |
43 | 4 | 4.19137876623373 | -0.19137876623373 |
44 | 4 | 3.54891582550529 | 0.451084174494707 |
45 | 4 | 4.11088813731075 | -0.110888137310751 |
46 | 4 | 4.15544808263773 | -0.15544808263773 |
47 | 4 | 4.04968116740675 | -0.0496811674067489 |
48 | 4 | 4.09424111273373 | -0.0942411127337277 |
49 | 4 | 4.15544808263773 | -0.15544808263773 |
50 | 4 | 4.04968116740675 | -0.0496811674067489 |
51 | 4 | 3.40065078374909 | 0.59934921625091 |
52 | 4 | 3.79624383842015 | 0.203756161579845 |
53 | 4 | 4.09424111273373 | -0.0942411127337277 |
54 | 4 | 4.23580221041761 | -0.235802210417608 |
55 | 4 | 4.04968116740675 | -0.0496811674067489 |
56 | 4 | 3.44521072907607 | 0.554789270923931 |
57 | 4 | 4.04311372447753 | -0.043113724477527 |
58 | 4 | 4.09424111273373 | -0.0942411127337277 |
59 | 4 | 4.09424111273373 | -0.0942411127337277 |
60 | 4 | 3.84080378374713 | 0.159196216252867 |
61 | 4 | 3.59347577083227 | 0.406524229167728 |
62 | 4 | 3.99855377915055 | 0.00144622084945182 |
63 | 4 | 4.04968116740675 | -0.0496811674067489 |
64 | 4 | 3.59347577083227 | 0.406524229167728 |
65 | 4 | 4.04968116740675 | -0.0496811674067489 |
66 | 4 | 4.04968116740675 | -0.0496811674067489 |
67 | 4 | 3.76031315482415 | 0.239686845175846 |
68 | 4 | 4.08561185100275 | -0.0856118510027493 |
69 | 4 | 4.09424111273373 | -0.0942411127337277 |
70 | 4 | 3.93734680924655 | 0.062653190753454 |
71 | 4 | 4.04968116740675 | -0.0496811674067489 |
72 | 4 | 4.09424111273373 | -0.0942411127337277 |
73 | 4 | 3.98190675457352 | 0.0180932454264752 |
74 | 4 | 3.97327749284255 | 0.0267225071574537 |
75 | 4 | 4.09424111273373 | -0.0942411127337277 |
76 | 4 | 3.61875205714027 | 0.381247942859726 |
77 | 4 | 4.09424111273373 | -0.0942411127337277 |
78 | 4 | 4.04311372447753 | -0.043113724477527 |
79 | 4 | 3.74366613024713 | 0.256333869752869 |
80 | 4 | 3.5741921118133 | 0.425807888186705 |
81 | 4 | 4.04968116740675 | -0.0496811674067489 |
82 | 4 | 4.01783743816952 | -0.0178374381695252 |
83 | 4 | 4.04968116740675 | -0.0496811674067489 |
84 | 4 | 4.23580221041761 | -0.235802210417608 |
85 | 4 | 4.15544808263773 | -0.15544808263773 |
86 | 4 | 4.08561185100275 | -0.0856118510027493 |
87 | 2 | 1.9833876943399 | 0.0166123056600959 |
88 | 2 | 2.40774936167716 | -0.407749361677157 |
89 | 2 | 1.90289706541693 | 0.097102934583075 |
90 | 2 | 1.9474570107439 | 0.0525429892560961 |
91 | 2 | 1.96410403532093 | 0.0358959646790728 |
92 | 2 | 2.47552377451038 | -0.475523774510381 |
93 | 2 | 2.00003471891693 | -3.47189169274441e-05 |
94 | 2 | 1.90289706541693 | 0.097102934583075 |
95 | 2 | 2.43959309091438 | -0.439593090914381 |
96 | 2 | 1.9474570107439 | 0.0525429892560961 |
97 | 2 | 2.47552377451038 | -0.475523774510381 |
98 | 2 | 1.90289706541693 | 0.097102934583075 |
99 | 2 | 1.93882774901293 | 0.0611722509870747 |
100 | 2 | 1.9474570107439 | 0.0525429892560961 |
101 | 2 | 1.9833876943399 | 0.0166123056600959 |
102 | 2 | 1.90289706541693 | 0.097102934583075 |
103 | 2 | 1.90289706541693 | 0.097102934583075 |
104 | 2 | 1.90289706541693 | 0.097102934583075 |
105 | 2 | 2.32725873275418 | -0.327258732754178 |
106 | 2 | 1.90289706541693 | 0.097102934583075 |
107 | 2 | 1.90289706541693 | 0.097102934583075 |
108 | 2 | 2.36318941635018 | -0.363189416350178 |
109 | 2 | 1.90289706541693 | 0.097102934583075 |
110 | 2 | 1.93882774901293 | 0.0611722509870747 |
111 | 2 | 2.42439638625418 | -0.42439638625418 |
112 | 2 | 2.43959309091438 | -0.439593090914381 |
113 | 2 | 1.79056270725672 | 0.209437292743278 |
114 | 2 | 2.36318941635018 | -0.363189416350178 |
115 | 2 | 1.93882774901293 | 0.0611722509870747 |
116 | 2 | 1.90289706541693 | 0.097102934583075 |
117 | 2 | 1.9833876943399 | 0.0166123056600959 |
118 | 2 | 1.93882774901293 | 0.0611722509870747 |
119 | 2 | 1.90289706541693 | 0.097102934583075 |
120 | 2 | 1.9474570107439 | 0.0525429892560961 |
121 | 2 | 1.93882774901293 | 0.0611722509870747 |
122 | 2 | 1.90289706541693 | 0.097102934583075 |
123 | 2 | 2.36318941635018 | -0.363189416350178 |
124 | 2 | 1.8963296224877 | 0.103670377512297 |
125 | 2 | 1.9474570107439 | 0.0525429892560961 |
126 | 2 | 2.43959309091438 | -0.439593090914381 |
127 | 2 | 1.96410403532093 | 0.0358959646790728 |
128 | 2 | 1.9474570107439 | 0.0525429892560961 |
129 | 2 | 1.90289706541693 | 0.097102934583075 |
130 | 2 | 1.9474570107439 | 0.0525429892560961 |
131 | 2 | 1.93882774901293 | 0.0611722509870747 |
132 | 2 | 1.9833876943399 | 0.0166123056600959 |
133 | 2 | 1.82649339085272 | 0.173506609147278 |
134 | 2 | 1.90289706541693 | 0.097102934583075 |
135 | 2 | 1.90289706541693 | 0.097102934583075 |
136 | 2 | 1.90289706541693 | 0.097102934583075 |
137 | 2 | 1.9322603060837 | 0.0677396939162967 |
138 | 2 | 2.46895633158116 | -0.468956331581159 |
139 | 2 | 2.43959309091438 | -0.439593090914381 |
140 | 2 | 1.90289706541693 | 0.097102934583075 |
141 | 2 | 2.13357805375476 | -0.133578053754763 |
142 | 2 | 2.37181867808116 | -0.371818678081157 |
143 | 2 | 1.93882774901293 | 0.0611722509870747 |
144 | 2 | 2.00866398064791 | -0.00866398064790606 |
145 | 2 | 1.96410403532093 | 0.0358959646790728 |
146 | 2 | 2.48415303624136 | -0.48415303624136 |
147 | 2 | 2.32725873275418 | -0.327258732754178 |
148 | 2 | 2.43959309091438 | -0.439593090914381 |
149 | 2 | 1.93882774901293 | 0.0611722509870747 |
150 | 2 | 2.00866398064791 | -0.00866398064790606 |
151 | 2 | 1.9474570107439 | 0.0525429892560961 |
152 | 2 | 2.12494879202378 | -0.124948792023784 |
153 | 2 | 2.18615576192779 | -0.186155761927786 |
154 | 2 | 1.82649339085272 | 0.173506609147278 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 6.46695346734607e-46 | 1.29339069346921e-45 | 1 |
11 | 1.39232248273992e-63 | 2.78464496547983e-63 | 1 |
12 | 5.5461659003963e-74 | 1.10923318007926e-73 | 1 |
13 | 3.90487720819079e-101 | 7.80975441638159e-101 | 1 |
14 | 1.99058066365613e-102 | 3.98116132731227e-102 | 1 |
15 | 7.96110604497203e-117 | 1.59222120899441e-116 | 1 |
16 | 0 | 0 | 1 |
17 | 2.10218840268356e-157 | 4.20437680536712e-157 | 1 |
18 | 9.5434169556132e-162 | 1.90868339112264e-161 | 1 |
19 | 5.8944512697498e-175 | 1.17889025394996e-174 | 1 |
20 | 4.24354469334934e-199 | 8.48708938669868e-199 | 1 |
21 | 3.68175934644844e-232 | 7.36351869289689e-232 | 1 |
22 | 1.34830387017113e-221 | 2.69660774034226e-221 | 1 |
23 | 2.44531600340106e-232 | 4.89063200680212e-232 | 1 |
24 | 4.92836261057847e-250 | 9.85672522115695e-250 | 1 |
25 | 9.65809974719614e-268 | 1.93161994943923e-267 | 1 |
26 | 2.12463355965825e-309 | 4.2492671193165e-309 | 1 |
27 | 1.13853933793224e-295 | 2.27707867586447e-295 | 1 |
28 | 3.0583605144698e-305 | 6.11672102893961e-305 | 1 |
29 | 0 | 0 | 1 |
30 | 0 | 0 | 1 |
31 | 0 | 0 | 1 |
32 | 0 | 0 | 1 |
33 | 0 | 0 | 1 |
34 | 0 | 0 | 1 |
35 | 0 | 0 | 1 |
36 | 0 | 0 | 1 |
37 | 0 | 0 | 1 |
38 | 0 | 0 | 1 |
39 | 0 | 0 | 1 |
40 | 0 | 0 | 1 |
41 | 0 | 0 | 1 |
42 | 0 | 0 | 1 |
43 | 0 | 0 | 1 |
44 | 0 | 0 | 1 |
45 | 0 | 0 | 1 |
46 | 0 | 0 | 1 |
47 | 0 | 0 | 1 |
48 | 0 | 0 | 1 |
49 | 0 | 0 | 1 |
50 | 0 | 0 | 1 |
51 | 0 | 0 | 1 |
52 | 0 | 0 | 1 |
53 | 0 | 0 | 1 |
54 | 0 | 0 | 1 |
55 | 0 | 0 | 1 |
56 | 0 | 0 | 1 |
57 | 0 | 0 | 1 |
58 | 0 | 0 | 1 |
59 | 0 | 0 | 1 |
60 | 0 | 0 | 1 |
61 | 0 | 0 | 1 |
62 | 0 | 0 | 1 |
63 | 0 | 0 | 1 |
64 | 0 | 0 | 1 |
65 | 0 | 0 | 1 |
66 | 0 | 0 | 1 |
67 | 0 | 0 | 1 |
68 | 0 | 0 | 1 |
69 | 0 | 0 | 1 |
70 | 0 | 0 | 1 |
71 | 0 | 0 | 1 |
72 | 0 | 0 | 1 |
73 | 0 | 0 | 1 |
74 | 0 | 0 | 1 |
75 | 0 | 0 | 1 |
76 | 0 | 0 | 1 |
77 | 0 | 0 | 1 |
78 | 0 | 0 | 1 |
79 | 0 | 0 | 1 |
80 | 0 | 0 | 1 |
81 | 0 | 0 | 1 |
82 | 0 | 0 | 1 |
83 | 0 | 0 | 1 |
84 | 0 | 0 | 1 |
85 | 0 | 0 | 1 |
86 | 1 | 8.29361098568745e-19 | 4.14680549284372e-19 |
87 | 1 | 0 | 0 |
88 | 1 | 0 | 0 |
89 | 1 | 0 | 0 |
90 | 1 | 0 | 0 |
91 | 1 | 0 | 0 |
92 | 1 | 0 | 0 |
93 | 1 | 0 | 0 |
94 | 1 | 0 | 0 |
95 | 1 | 0 | 0 |
96 | 1 | 0 | 0 |
97 | 1 | 0 | 0 |
98 | 1 | 0 | 0 |
99 | 1 | 0 | 0 |
100 | 1 | 0 | 0 |
101 | 1 | 0 | 0 |
102 | 1 | 0 | 0 |
103 | 1 | 0 | 0 |
104 | 1 | 0 | 0 |
105 | 1 | 0 | 0 |
106 | 1 | 0 | 0 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
113 | 1 | 0 | 0 |
114 | 1 | 0 | 0 |
115 | 1 | 0 | 0 |
116 | 1 | 0 | 0 |
117 | 1 | 0 | 0 |
118 | 1 | 0 | 0 |
119 | 1 | 0 | 0 |
120 | 1 | 0 | 0 |
121 | 1 | 0 | 0 |
122 | 1 | 0 | 0 |
123 | 1 | 0 | 0 |
124 | 1 | 0 | 0 |
125 | 1 | 0 | 0 |
126 | 1 | 1.19276035581804e-311 | 5.96380177909018e-312 |
127 | 1 | 3.13442657243773e-301 | 1.56721328621887e-301 |
128 | 1 | 2.54645466924445e-314 | 1.27322733462223e-314 |
129 | 1 | 1.49710199068133e-272 | 7.48550995340666e-273 |
130 | 1 | 3.94664527616538e-254 | 1.97332263808269e-254 |
131 | 1 | 3.68703784098364e-237 | 1.84351892049182e-237 |
132 | 1 | 1.49375536788557e-225 | 7.46877683942785e-226 |
133 | 1 | 3.89022651446453e-235 | 1.94511325723227e-235 |
134 | 1 | 8.57520165721224e-202 | 4.28760082860612e-202 |
135 | 1 | 1.66846304160778e-177 | 8.34231520803891e-178 |
136 | 1 | 1.8860506121892e-164 | 9.43025306094602e-165 |
137 | 1 | 5.0772093175163e-161 | 2.53860465875815e-161 |
138 | 1 | 0 | 0 |
139 | 1 | 1.08074356373443e-118 | 5.40371781867216e-119 |
140 | 1 | 1.22318576109273e-104 | 6.11592880546367e-105 |
141 | 1 | 3.06012946669772e-102 | 1.53006473334886e-102 |
142 | 1 | 1.29814506103928e-74 | 6.49072530519638e-75 |
143 | 1 | 6.14475867680309e-64 | 3.07237933840155e-64 |
144 | 1 | 2.69177630457406e-46 | 1.34588815228703e-46 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 135 | 1 | NOK |
5% type I error level | 135 | 1 | NOK |
10% type I error level | 135 | 1 | NOK |