Multiple Linear Regression - Estimated Regression Equation |
Weeks[t] = + 5.68564084416077 -0.0337328052225663UseLimit[t] + 0.387489136821021T40[t] -0.525540405716677T20[t] -0.040629524793191Used[t] -0.0299438114201578Outcome[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) | 5.68564084416077 | 0.367564 | 15.4685 | 0 | 0 |
UseLimit | -0.0337328052225663 | 0.035585 | -0.9479 | 0.344701 | 0.17235 |
T40 | 0.387489136821021 | 0.038987 | 9.939 | 0 | 0 |
T20 | -0.525540405716677 | 0.038925 | -13.5013 | 0 | 0 |
Used | -0.040629524793191 | 0.037326 | -1.0885 | 0.278143 | 0.139071 |
Outcome | -0.0299438114201578 | 0.033705 | -0.8884 | 0.375769 | 0.187885 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.998772690544011 |
R-squared | 0.997546887376523 |
Adjusted R-squared | 0.997464011950054 |
F-TEST (value) | 12036.7029152109 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 148 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.200706387655927 |
Sum Squared Residuals | 5.96189199879188 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 1.23896018809579 | -0.238960188095789 |
2 | 1 | 0.915147667917489 | 0.0848523320825115 |
3 | 1 | 0.915147667917488 | 0.0848523320825124 |
4 | 1 | 0.915147667917489 | 0.0848523320825113 |
5 | 1 | 0.915147667917489 | 0.084852332082511 |
6 | 1 | 0.851471051274765 | 0.148528948725235 |
7 | 1 | 0.915147667917489 | 0.084852332082511 |
8 | 1 | 1.30263680473851 | -0.30263680473851 |
9 | 1 | 0.885203856497331 | 0.114796143502669 |
10 | 1 | 0.881414862694923 | 0.118585137305077 |
11 | 1 | 1.26890399951594 | -0.268903999515944 |
12 | 1 | 0.915147667917489 | 0.084852332082511 |
13 | 1 | 0.95577719271068 | 0.04422280728932 |
14 | 1 | 1.26890399951594 | -0.268903999515944 |
15 | 1 | 0.925833381290522 | 0.0741666187094778 |
16 | 1 | 1.31332251811154 | -0.313322518111543 |
17 | 1 | 1.30953352430914 | -0.309533524309135 |
18 | 1 | 1.26890399951594 | -0.268903999515944 |
19 | 1 | 0.885203856497331 | 0.114796143502669 |
20 | 1 | 1.31332251811154 | -0.313322518111543 |
21 | 1 | 0.881414862694923 | 0.118585137305077 |
22 | 1 | 0.892100576067956 | 0.107899423932044 |
23 | 1 | 0.885203856497331 | 0.114796143502669 |
24 | 1 | 0.851471051274765 | 0.148528948725235 |
25 | 1 | 1.31332251811154 | -0.313322518111543 |
26 | 1 | 0.95577719271068 | 0.04422280728932 |
27 | 1 | 0.851471051274765 | 0.148528948725235 |
28 | 1 | 0.95577719271068 | 0.04422280728932 |
29 | 1 | 0.885203856497331 | 0.114796143502669 |
30 | 1 | 0.915147667917489 | 0.084852332082511 |
31 | 1 | 0.915147667917489 | 0.084852332082511 |
32 | 1 | 0.881414862694923 | 0.118585137305077 |
33 | 1 | 0.881414862694923 | 0.118585137305077 |
34 | 1 | 1.27269299331835 | -0.272692993318352 |
35 | 1 | 0.915147667917489 | 0.084852332082511 |
36 | 1 | 0.915147667917489 | 0.084852332082511 |
37 | 1 | 1.30953352430914 | -0.309533524309135 |
38 | 1 | 0.925833381290522 | 0.0741666187094778 |
39 | 1 | 0.885203856497331 | 0.114796143502669 |
40 | 1 | 1.30263680473851 | -0.30263680473851 |
41 | 1 | 0.925833381290522 | 0.0741666187094778 |
42 | 1 | 0.925833381290522 | 0.0741666187094778 |
43 | 1 | 0.851471051274765 | 0.148528948725235 |
44 | 1 | 1.26890399951594 | -0.268903999515944 |
45 | 1 | 0.915147667917489 | 0.084852332082511 |
46 | 1 | 0.885203856497331 | 0.114796143502669 |
47 | 1 | 0.915147667917489 | 0.084852332082511 |
48 | 1 | 0.885203856497331 | 0.114796143502669 |
49 | 1 | 0.885203856497331 | 0.114796143502669 |
50 | 1 | 0.915147667917489 | 0.084852332082511 |
51 | 1 | 1.3432663295317 | -0.343266329531701 |
52 | 1 | 1.30953352430914 | -0.309533524309135 |
53 | 1 | 0.885203856497331 | 0.114796143502669 |
54 | 1 | 0.95577719271068 | 0.04422280728932 |
55 | 1 | 0.915147667917489 | 0.084852332082511 |
56 | 1 | 1.31332251811154 | -0.313322518111543 |
57 | 1 | 0.925833381290522 | 0.0741666187094778 |
58 | 1 | 0.885203856497331 | 0.114796143502669 |
59 | 1 | 0.885203856497331 | 0.114796143502669 |
60 | 1 | 1.27958971288898 | -0.279589712888977 |
61 | 1 | 1.23896018809579 | -0.238960188095786 |
62 | 1 | 0.95577719271068 | 0.04422280728932 |
63 | 1 | 0.915147667917489 | 0.084852332082511 |
64 | 1 | 1.23896018809579 | -0.238960188095786 |
65 | 1 | 0.915147667917489 | 0.084852332082511 |
66 | 1 | 0.915147667917489 | 0.084852332082511 |
67 | 1 | 1.3432663295317 | -0.343266329531701 |
68 | 1 | 0.881414862694923 | 0.118585137305077 |
69 | 1 | 0.885203856497331 | 0.114796143502669 |
70 | 1 | 0.95577719271068 | 0.04422280728932 |
71 | 1 | 0.915147667917489 | 0.084852332082511 |
72 | 1 | 0.885203856497331 | 0.114796143502669 |
73 | 1 | 0.925833381290522 | 0.0741666187094778 |
74 | 1 | 0.922044387488114 | 0.0779556125118863 |
75 | 1 | 0.885203856497331 | 0.114796143502669 |
76 | 1 | 1.27269299331835 | -0.272692993318352 |
77 | 1 | 0.885203856497331 | 0.114796143502669 |
78 | 1 | 0.925833381290522 | 0.0741666187094778 |
79 | 1 | 1.31332251811154 | -0.313322518111543 |
80 | 1 | 1.30263680473851 | -0.30263680473851 |
81 | 1 | 0.915147667917489 | 0.084852332082511 |
82 | 1 | 0.892100576067956 | 0.107899423932044 |
83 | 1 | 0.915147667917489 | 0.084852332082511 |
84 | 1 | 0.95577719271068 | 0.04422280728932 |
85 | 1 | 0.885203856497331 | 0.114796143502669 |
86 | 1 | 0.881414862694923 | 0.118585137305077 |
87 | 9 | 9.06873693411405 | -0.0687369341140451 |
88 | 9 | 8.58382605319056 | 0.41617394680944 |
89 | 9 | 9.13241355075677 | -0.132413550756769 |
90 | 9 | 9.10246973933661 | -0.102469739336611 |
91 | 9 | 9.13241355075677 | -0.132413550756769 |
92 | 9 | 8.57314033981753 | 0.426859660182474 |
93 | 9 | 9.0986807455342 | -0.0986807455342029 |
94 | 9 | 9.13241355075677 | -0.132413550756769 |
95 | 9 | 8.60687314504009 | 0.393126854959907 |
96 | 9 | 9.10246973933661 | -0.102469739336611 |
97 | 9 | 8.57314033981753 | 0.426859660182474 |
98 | 9 | 9.13241355075677 | -0.132413550756769 |
99 | 9 | 9.0986807455342 | -0.0986807455342029 |
100 | 9 | 9.10246973933661 | -0.102469739336611 |
101 | 9 | 9.06873693411405 | -0.0687369341140451 |
102 | 9 | 9.13241355075677 | -0.132413550756769 |
103 | 9 | 9.13241355075677 | -0.132413550756769 |
104 | 9 | 9.13241355075677 | -0.132413550756769 |
105 | 9 | 8.64750266983328 | 0.352497330166716 |
106 | 9 | 9.13241355075677 | -0.132413550756769 |
107 | 9 | 9.13241355075677 | -0.132413550756769 |
108 | 9 | 8.61376986461072 | 0.386230135389283 |
109 | 9 | 9.13241355075677 | -0.132413550756769 |
110 | 9 | 9.0986807455342 | -0.0986807455342029 |
111 | 9 | 8.61376986461072 | 0.386230135389283 |
112 | 9 | 8.60687314504009 | 0.393126854959907 |
113 | 9 | 9.17304307554996 | -0.17304307554996 |
114 | 9 | 8.61376986461072 | 0.386230135389283 |
115 | 9 | 9.0986807455342 | -0.0986807455342029 |
116 | 9 | 9.13241355075677 | -0.132413550756769 |
117 | 9 | 9.06873693411405 | -0.0687369341140451 |
118 | 9 | 9.0986807455342 | -0.0986807455342029 |
119 | 9 | 9.13241355075677 | -0.132413550756769 |
120 | 9 | 9.10246973933661 | -0.102469739336611 |
121 | 9 | 9.0986807455342 | -0.0986807455342029 |
122 | 9 | 9.13241355075677 | -0.132413550756769 |
123 | 9 | 8.61376986461072 | 0.386230135389283 |
124 | 9 | 9.1430992641298 | -0.143099264129802 |
125 | 9 | 9.10246973933661 | -0.102469739336611 |
126 | 9 | 8.60687314504009 | 0.393126854959907 |
127 | 9 | 9.13241355075677 | -0.132413550756769 |
128 | 9 | 9.10246973933661 | -0.102469739336611 |
129 | 9 | 9.13241355075677 | -0.132413550756769 |
130 | 9 | 9.10246973933661 | -0.102469739336611 |
131 | 9 | 9.0986807455342 | -0.0986807455342029 |
132 | 9 | 9.06873693411405 | -0.0687369341140451 |
133 | 9 | 9.13931027032739 | -0.139310270327394 |
134 | 9 | 9.13241355075677 | -0.132413550756769 |
135 | 9 | 9.13241355075677 | -0.132413550756769 |
136 | 9 | 9.13241355075677 | -0.132413550756769 |
137 | 9 | 9.10936645890724 | -0.109366458907236 |
138 | 9 | 8.58382605319056 | 0.41617394680944 |
139 | 9 | 8.60687314504009 | 0.393126854959907 |
140 | 9 | 9.13241355075677 | -0.132413550756769 |
141 | 9 | 9.1430992641298 | -0.143099264129802 |
142 | 9 | 8.61755885841313 | 0.382441141586874 |
143 | 9 | 9.0986807455342 | -0.0986807455342029 |
144 | 9 | 9.10246973933661 | -0.102469739336611 |
145 | 9 | 9.13241355075677 | -0.132413550756769 |
146 | 9 | 8.57692933361994 | 0.423070666380065 |
147 | 9 | 8.64750266983328 | 0.352497330166716 |
148 | 9 | 8.60687314504009 | 0.393126854959907 |
149 | 9 | 9.0986807455342 | -0.0986807455342029 |
150 | 9 | 9.10246973933661 | -0.102469739336611 |
151 | 9 | 9.10246973933661 | -0.102469739336611 |
152 | 9 | 9.13931027032739 | -0.139310270327394 |
153 | 9 | 9.13931027032739 | -0.139310270327394 |
154 | 9 | 9.13931027032739 | -0.139310270327394 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 2.57848000771605e-47 | 5.1569600154321e-47 | 1 |
10 | 7.44931664884029e-63 | 1.48986332976806e-62 | 1 |
11 | 8.52158604199791e-82 | 1.70431720839958e-81 | 1 |
12 | 1.29251298765192e-91 | 2.58502597530383e-91 | 1 |
13 | 2.50959634239427e-121 | 5.01919268478854e-121 | 1 |
14 | 5.74356440448428e-121 | 1.14871288089686e-120 | 1 |
15 | 4.89564046552559e-136 | 9.79128093105117e-136 | 1 |
16 | 0 | 0 | 1 |
17 | 1.01576150258641e-178 | 2.03152300517283e-178 | 1 |
18 | 1.33264272039276e-182 | 2.66528544078552e-182 | 1 |
19 | 2.28305408402311e-196 | 4.56610816804622e-196 | 1 |
20 | 1.18058331616943e-221 | 2.36116663233886e-221 | 1 |
21 | 1.22488021550532e-256 | 2.44976043101064e-256 | 1 |
22 | 6.5721751380763e-245 | 1.31443502761526e-244 | 1 |
23 | 7.41734804018213e-256 | 1.48346960803643e-255 | 1 |
24 | 3.61528558182342e-274 | 7.23057116364684e-274 | 1 |
25 | 7.18936413319469e-293 | 1.43787282663894e-292 | 1 |
26 | 0 | 0 | 1 |
27 | 7.2133584292822e-322 | 1.44267168585644e-321 | 1 |
28 | 0 | 0 | 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 | 2.2819056477148e-23 | 4.56381129542961e-23 | 1 |
81 | 5.55691312064633e-56 | 1.11138262412927e-55 | 1 |
82 | 4.34973043321855e-44 | 8.6994608664371e-44 | 1 |
83 | 2.07334947786838e-24 | 4.14669895573677e-24 | 1 |
84 | 6.37477947099195e-172 | 1.27495589419839e-171 | 1 |
85 | 0.999994439092195 | 1.11218156104005e-05 | 5.56090780520026e-06 |
86 | 8.22122114389993e-49 | 1.64424422877999e-48 | 1 |
87 | 1 | 1.77785200883509e-18 | 8.88926004417544e-19 |
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 | 4.82637652771979e-313 | 2.4131882638599e-313 |
127 | 1 | 1.26433901303691e-300 | 6.32169506518457e-301 |
128 | 1 | 2.70327879004758e-291 | 1.35163939502379e-291 |
129 | 1 | 1.67596633464668e-273 | 8.37983167323341e-274 |
130 | 1 | 1.08447576538326e-260 | 5.42237882691632e-261 |
131 | 1 | 5.19879017208721e-238 | 2.5993950860436e-238 |
132 | 1 | 1.36411442572075e-226 | 6.82057212860376e-227 |
133 | 1 | 8.95788869185114e-215 | 4.47894434592557e-215 |
134 | 1 | 5.3511665187501e-207 | 2.67558325937505e-207 |
135 | 1 | 7.33679864874105e-184 | 3.66839932437053e-184 |
136 | 1 | 4.16553051131741e-169 | 2.0827652556587e-169 |
137 | 1 | 2.3528289428652e-154 | 1.1764144714326e-154 |
138 | 1 | 0 | 0 |
139 | 1 | 5.42653903523516e-125 | 2.71326951761758e-125 |
140 | 1 | 3.53632767902074e-111 | 1.76816383951037e-111 |
141 | 1 | 3.1605362910222e-101 | 1.5802681455111e-101 |
142 | 1 | 1.31973586104299e-84 | 6.59867930521493e-85 |
143 | 1 | 1.0962664518886e-72 | 5.48133225944302e-73 |
144 | 1 | 2.46843131392784e-59 | 1.23421565696392e-59 |
145 | 1 | 4.67424110775585e-90 | 2.33712055387793e-90 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 137 | 1 | NOK |
5% type I error level | 137 | 1 | NOK |
10% type I error level | 137 | 1 | NOK |