Multiple Linear Regression - Estimated Regression Equation |
Weeks[t] = + 3.12215877450008 + 0.0240600096945622UseLimit[t] + 0.457803059764332T40[t] -0.615927691063681T20[t] -0.130947731103206Used[t] + 0.292427873146047CorrectAnalysis[t] + 0.0635211726862047Useful[t] + 0.0466628346837525Outcome[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) | 3.12215877450008 | 0.088739 | 35.1835 | 0 | 0 |
UseLimit | 0.0240600096945622 | 0.041484 | 0.58 | 0.562819 | 0.281409 |
T40 | 0.457803059764332 | 0.046443 | 9.8573 | 0 | 0 |
T20 | -0.615927691063681 | 0.046632 | -13.2084 | 0 | 0 |
Used | -0.130947731103206 | 0.048688 | -2.6895 | 0.007989 | 0.003995 |
CorrectAnalysis | 0.292427873146047 | 0.079204 | 3.6921 | 0.000314 | 0.000157 |
Useful | 0.0635211726862047 | 0.045413 | 1.3987 | 0.164014 | 0.082007 |
Outcome | 0.0466628346837525 | 0.039488 | 1.1817 | 0.239253 | 0.119626 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.973534664318095 |
R-squared | 0.947769742628946 |
Adjusted R-squared | 0.945265552207046 |
F-TEST (value) | 378.473511575009 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 146 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.233108426182364 |
Sum Squared Residuals | 7.93357260015392 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 4 | 3.65068467864273 | 0.349315321357272 |
2 | 4 | 4.03776489402875 | -0.037764894028747 |
3 | 4 | 4.03776489402875 | -0.0377648940287478 |
4 | 4 | 4.03776489402875 | -0.0377648940287474 |
5 | 4 | 4.03776489402875 | -0.0377648940287473 |
6 | 4 | 4.17200891109327 | -0.172008911093267 |
7 | 4 | 4.03776489402875 | -0.0377648940287474 |
8 | 4 | 3.57996183426442 | 0.420038165735584 |
9 | 4 | 4.0844277287125 | -0.0844277287124999 |
10 | 4 | 4.06182490372331 | -0.0618249037233096 |
11 | 4 | 3.60402184395898 | 0.395978156041022 |
12 | 4 | 4.03776489402875 | -0.0377648940287474 |
13 | 4 | 3.97033833561175 | 0.0296616643882534 |
14 | 4 | 3.60402184395898 | 0.395978156041022 |
15 | 4 | 4.0170011702955 | -0.0170011702954991 |
16 | 4 | 3.55919811053117 | 0.440801889468833 |
17 | 4 | 3.82902315868802 | 0.170976841311976 |
18 | 4 | 3.60402184395898 | 0.395978156041022 |
19 | 4 | 4.0844277287125 | -0.0844277287124999 |
20 | 4 | 3.85162598367721 | 0.148374016322786 |
21 | 4 | 4.12534607640951 | -0.125346076409514 |
22 | 4 | 4.04106117999006 | -0.0410611799900612 |
23 | 4 | 4.1479489013987 | -0.147948901398705 |
24 | 4 | 4.17200891109327 | -0.172008911093267 |
25 | 4 | 3.49567693784496 | 0.504323062155037 |
26 | 4 | 3.97033833561175 | 0.0296616643882534 |
27 | 4 | 4.10848773840706 | -0.108487738407062 |
28 | 4 | 3.90681716292554 | 0.0931828370744582 |
29 | 4 | 4.0844277287125 | -0.0844277287124999 |
30 | 4 | 4.10128606671495 | -0.101286066714952 |
31 | 4 | 4.03776489402875 | -0.0377648940287474 |
32 | 4 | 4.06182490372331 | -0.0618249037233096 |
33 | 4 | 4.12534607640951 | -0.125346076409514 |
34 | 4 | 3.62662466894817 | 0.373375331051832 |
35 | 4 | 4.03776489402875 | -0.0377648940287474 |
36 | 4 | 4.03776489402875 | -0.0377648940287474 |
37 | 4 | 3.53659528554198 | 0.463404714458023 |
38 | 4 | 3.95347999760929 | 0.0465200023907057 |
39 | 4 | 4.1479489013987 | -0.147948901398705 |
40 | 4 | 3.64348300695062 | 0.35651699304938 |
41 | 4 | 4.30942904344155 | -0.309429043441546 |
42 | 4 | 3.95347999760929 | 0.0465200023907057 |
43 | 4 | 4.17200891109327 | -0.172008911093267 |
44 | 4 | 3.60402184395898 | 0.395978156041022 |
45 | 4 | 4.10128606671495 | -0.101286066714952 |
46 | 4 | 4.1479489013987 | -0.147948901398705 |
47 | 4 | 4.03776489402875 | -0.0377648940287474 |
48 | 4 | 4.0844277287125 | -0.0844277287124999 |
49 | 4 | 4.1479489013987 | -0.147948901398705 |
50 | 4 | 4.03776489402875 | -0.0377648940287474 |
51 | 4 | 3.44901410316121 | 0.55098589683879 |
52 | 4 | 3.82902315868802 | 0.170976841311976 |
53 | 4 | 4.0844277287125 | -0.0844277287124999 |
54 | 4 | 4.19924503607159 | -0.199245036071588 |
55 | 4 | 4.03776489402875 | -0.0377648940287474 |
56 | 4 | 3.49567693784496 | 0.504323062155037 |
57 | 4 | 4.0170011702955 | -0.0170011702954991 |
58 | 4 | 4.0844277287125 | -0.0844277287124999 |
59 | 4 | 4.0844277287125 | -0.0844277287124999 |
60 | 4 | 3.87568599337178 | 0.124314006628224 |
61 | 4 | 3.65068467864273 | 0.34931532135727 |
62 | 4 | 3.97033833561175 | 0.0296616643882534 |
63 | 4 | 4.03776489402875 | -0.0377648940287474 |
64 | 4 | 3.65068467864273 | 0.34931532135727 |
65 | 4 | 4.03776489402875 | -0.0377648940287474 |
66 | 4 | 4.03776489402875 | -0.0377648940287474 |
67 | 4 | 3.80496314899346 | 0.195036851006538 |
68 | 4 | 4.06182490372331 | -0.0618249037233096 |
69 | 4 | 4.0844277287125 | -0.0844277287124999 |
70 | 4 | 3.90681716292554 | 0.0931828370744582 |
71 | 4 | 4.03776489402875 | -0.0377648940287474 |
72 | 4 | 4.0844277287125 | -0.0844277287124999 |
73 | 4 | 3.95347999760929 | 0.0465200023907057 |
74 | 4 | 3.9308771726201 | 0.069122827379896 |
75 | 4 | 4.0844277287125 | -0.0844277287124999 |
76 | 4 | 3.69014584163437 | 0.309854158365627 |
77 | 4 | 4.0844277287125 | -0.0844277287124999 |
78 | 4 | 4.0170011702955 | -0.0170011702954991 |
79 | 4 | 3.78810481099101 | 0.211895189008991 |
80 | 4 | 3.64348300695062 | 0.35651699304938 |
81 | 4 | 4.03776489402875 | -0.0377648940287474 |
82 | 4 | 3.97754000730386 | 0.0224599926961435 |
83 | 4 | 4.03776489402875 | -0.0377648940287474 |
84 | 4 | 4.19924503607159 | -0.199245036071588 |
85 | 4 | 4.1479489013987 | -0.147948901398705 |
86 | 4 | 4.06182490372331 | -0.0618249037233096 |
87 | 2 | 1.96102623675104 | 0.0389737632489639 |
88 | 2 | 2.44600619671151 | -0.446006196711512 |
89 | 2 | 1.89030339237272 | 0.109696607627279 |
90 | 2 | 1.93696622705647 | 0.0630337729435261 |
91 | 2 | 1.95382456505893 | 0.0461754349410738 |
92 | 2 | 2.53029109313097 | -0.530291093130965 |
93 | 2 | 1.97788457475349 | 0.0221154252465116 |
94 | 2 | 1.89030339237272 | 0.109696607627279 |
95 | 2 | 2.5062310834364 | -0.506231083436403 |
96 | 2 | 1.93696622705647 | 0.0630337729435261 |
97 | 2 | 2.53029109313097 | -0.530291093130965 |
98 | 2 | 1.89030339237272 | 0.109696607627279 |
99 | 2 | 1.91436340206728 | 0.0856365979327164 |
100 | 2 | 1.93696622705647 | 0.0630337729435261 |
101 | 2 | 1.96102623675104 | 0.0389737632489639 |
102 | 2 | 1.89030339237272 | 0.109696607627279 |
103 | 2 | 1.89030339237272 | 0.109696607627279 |
104 | 2 | 1.89030339237272 | 0.109696607627279 |
105 | 2 | 2.3752833523332 | -0.375283352333197 |
106 | 2 | 1.89030339237272 | 0.109696607627279 |
107 | 2 | 1.89030339237272 | 0.109696607627279 |
108 | 2 | 2.39934336202776 | -0.399343362027759 |
109 | 2 | 1.89030339237272 | 0.109696607627279 |
110 | 2 | 1.91436340206728 | 0.0856365979327164 |
111 | 2 | 2.46286453471396 | -0.462864534713964 |
112 | 2 | 2.5062310834364 | -0.506231083436403 |
113 | 2 | 1.75935566126952 | 0.240644338730484 |
114 | 2 | 2.39934336202776 | -0.399343362027759 |
115 | 2 | 1.91436340206728 | 0.0856365979327164 |
116 | 2 | 1.89030339237272 | 0.109696607627279 |
117 | 2 | 1.96102623675104 | 0.0389737632489639 |
118 | 2 | 1.91436340206728 | 0.0856365979327164 |
119 | 2 | 1.89030339237272 | 0.109696607627279 |
120 | 2 | 1.93696622705647 | 0.0630337729435261 |
121 | 2 | 1.91436340206728 | 0.0856365979327164 |
122 | 2 | 1.89030339237272 | 0.109696607627279 |
123 | 2 | 2.39934336202776 | -0.399343362027759 |
124 | 2 | 1.86953966863947 | 0.130460331360527 |
125 | 2 | 1.93696622705647 | 0.0630337729435261 |
126 | 2 | 2.5062310834364 | -0.506231083436403 |
127 | 2 | 1.95382456505893 | 0.0461754349410738 |
128 | 2 | 1.93696622705647 | 0.0630337729435261 |
129 | 2 | 1.89030339237272 | 0.109696607627279 |
130 | 2 | 1.93696622705647 | 0.0630337729435261 |
131 | 2 | 1.91436340206728 | 0.0856365979327164 |
132 | 2 | 1.96102623675104 | 0.0389737632489639 |
133 | 2 | 1.78341567096408 | 0.216584329035922 |
134 | 2 | 1.89030339237272 | 0.109696607627279 |
135 | 2 | 1.89030339237272 | 0.109696607627279 |
136 | 2 | 1.89030339237272 | 0.109696607627279 |
137 | 2 | 1.89359967833404 | 0.106400321665965 |
138 | 2 | 2.50952736939772 | -0.509527369397717 |
139 | 2 | 2.5062310834364 | -0.506231083436403 |
140 | 2 | 1.89030339237272 | 0.109696607627279 |
141 | 2 | 2.09844636909932 | -0.098446369099315 |
142 | 2 | 2.42194618701695 | -0.42194618701695 |
143 | 2 | 1.91436340206728 | 0.0856365979327164 |
144 | 2 | 2.00048739974268 | -0.0004873997426787 |
145 | 2 | 1.95382456505893 | 0.0461754349410738 |
146 | 2 | 2.55289391812016 | -0.552893918120155 |
147 | 2 | 2.3752833523332 | -0.375283352333197 |
148 | 2 | 2.5062310834364 | -0.506231083436403 |
149 | 2 | 1.91436340206728 | 0.0856365979327164 |
150 | 2 | 2.00048739974268 | -0.0004873997426787 |
151 | 2 | 1.93696622705647 | 0.0630337729435261 |
152 | 2 | 2.07584354411012 | -0.0758435441101246 |
153 | 2 | 2.13936471679633 | -0.139364716796329 |
154 | 2 | 1.78341567096408 | 0.216584329035922 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 9.03506347918299e-48 | 1.8070126958366e-47 | 1 |
12 | 3.20626257281013e-59 | 6.41252514562025e-59 | 1 |
13 | 2.795071948978e-84 | 5.59014389795601e-84 | 1 |
14 | 8.9328405056152e-88 | 1.78656810112304e-87 | 1 |
15 | 3.47654186837015e-102 | 6.9530837367403e-102 | 1 |
16 | 0 | 0 | 1 |
17 | 1.32177691364694e-141 | 2.64355382729387e-141 | 1 |
18 | 5.63295962419065e-147 | 1.12659192483813e-146 | 1 |
19 | 2.651778006317e-160 | 5.30355601263401e-160 | 1 |
20 | 1.05476923636003e-183 | 2.10953847272006e-183 | 1 |
21 | 1.71305456876909e-215 | 3.42610913753818e-215 | 1 |
22 | 9.8104908098296e-207 | 1.96209816196592e-206 | 1 |
23 | 1.00343225329699e-217 | 2.00686450659398e-217 | 1 |
24 | 3.13172667059181e-235 | 6.26345334118363e-235 | 1 |
25 | 9.33632547023392e-253 | 1.86726509404678e-252 | 1 |
26 | 5.3003114947839e-293 | 1.06006229895678e-292 | 1 |
27 | 9.03175813031148e-281 | 1.8063516260623e-280 | 1 |
28 | 1.367809490404e-290 | 2.73561898080801e-290 | 1 |
29 | 4.42612067857667e-310 | 8.85224135715333e-310 | 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 | 1 | 1.50379188914343e-69 | 7.51895944571716e-70 |
81 | 0.999986781545444 | 2.64369091115982e-05 | 1.32184545557991e-05 |
82 | 0.976856929956218 | 0.0462861400875644 | 0.0231430700437822 |
83 | 1 | 2.06851483078373e-62 | 1.03425741539187e-62 |
84 | 1.27346233440329e-61 | 2.54692466880657e-61 | 1 |
85 | 1 | 4.83036160830791e-68 | 2.41518080415396e-68 |
86 | 1 | 1.72556705773827e-18 | 8.62783528869134e-19 |
87 | 1.60308715223474e-23 | 3.20617430446947e-23 | 1 |
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 | 2.09288502019211e-315 | 1.04644251009606e-315 |
126 | 1 | 3.68766736720773e-296 | 1.84383368360387e-296 |
127 | 1 | 1.50991039508717e-285 | 7.54955197543587e-286 |
128 | 1 | 3.48774596328724e-297 | 1.74387298164362e-297 |
129 | 1 | 7.56396178867496e-257 | 3.78198089433748e-257 |
130 | 1 | 1.19942788249676e-238 | 5.99713941248381e-239 |
131 | 1 | 7.71008253465043e-222 | 3.85504126732521e-222 |
132 | 1 | 4.78685891976034e-210 | 2.39342945988017e-210 |
133 | 1 | 6.3732325494721e-218 | 3.18661627473605e-218 |
134 | 1 | 7.00981797600438e-186 | 3.50490898800219e-186 |
135 | 1 | 2.37121508363949e-162 | 1.18560754181975e-162 |
136 | 1 | 3.60186676609673e-149 | 1.80093338304836e-149 |
137 | 1 | 1.27633580935966e-144 | 6.38167904679829e-145 |
138 | 1 | 0 | 0 |
139 | 1 | 1.10039880719778e-103 | 5.50199403598892e-104 |
140 | 1 | 1.51451209276217e-89 | 7.57256046381086e-90 |
141 | 1 | 4.40736631583747e-85 | 2.20368315791874e-85 |
142 | 1 | 1.27357320360738e-59 | 6.36786601803688e-60 |
143 | 1 | 6.25975718097643e-48 | 3.12987859048821e-48 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 132 | 0.992481203007519 | NOK |
5% type I error level | 133 | 1 | NOK |
10% type I error level | 133 | 1 | NOK |