Multiple Linear Regression - Estimated Regression Equation |
Treatment[t] = + 6.12169617422602 -1.48877836515546Weeks[t] + 0.15397515296179UseLimit[t] + 0.23493996617801Used[t] + 0.0729551860382186CorrectAnalysis[t] -0.0351465383200859Useful[t] -0.0300509154692246Outcome[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) | 6.12169617422602 | 0.1199 | 51.0565 | 0 | 0 |
Weeks | -1.48877836515546 | 0.035893 | -41.4779 | 0 | 0 |
UseLimit | 0.15397515296179 | 0.074376 | 2.0702 | 0.040181 | 0.020091 |
Used | 0.23493996617801 | 0.086476 | 2.7168 | 0.007382 | 0.003691 |
CorrectAnalysis | 0.0729551860382186 | 0.14459 | 0.5046 | 0.61462 | 0.30731 |
Useful | -0.0351465383200859 | 0.083024 | -0.4233 | 0.672673 | 0.336337 |
Outcome | -0.0300509154692246 | 0.072082 | -0.4169 | 0.677359 | 0.33868 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.963220612556397 |
R-squared | 0.92779394845352 |
Adjusted R-squared | 0.924846762676112 |
F-TEST (value) | 314.806740574631 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.424814412351138 |
Sum Squared Residuals | 26.5286908863627 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.290506951096751 | 0.709493048903249 |
2 | 0 | 0.16658271360419 | -0.16658271360419 |
3 | 0 | 0.16658271360419 | -0.16658271360419 |
4 | 0 | 0.16658271360419 | -0.16658271360419 |
5 | 0 | 0.166582713604191 | -0.166582713604191 |
6 | 0 | 0.255360412776669 | -0.255360412776669 |
7 | 0 | 0.16658271360419 | -0.16658271360419 |
8 | 1 | 0.166582713604191 | 0.833417286395809 |
9 | 0 | 0.136531798134966 | -0.136531798134966 |
10 | 0 | 0.32055786656598 | -0.32055786656598 |
11 | 1 | 0.32055786656598 | 0.67944213343402 |
12 | 0 | 0.16658271360419 | -0.16658271360419 |
13 | 0 | 0.366376141462114 | -0.366376141462114 |
14 | 1 | 0.32055786656598 | 0.67944213343402 |
15 | 0 | 0.33632522599289 | -0.33632522599289 |
16 | 1 | 0.33632522599289 | 0.66367477400711 |
17 | 1 | 0.593306480462122 | 0.406693519537878 |
18 | 1 | 0.32055786656598 | 0.67944213343402 |
19 | 0 | 0.136531798134966 | -0.136531798134966 |
20 | 1 | 0.409280412031108 | 0.590719587968892 |
21 | 0 | 0.285411328245894 | -0.285411328245894 |
22 | 0 | 0.490300378954679 | -0.490300378954679 |
23 | 0 | 0.10138525981488 | -0.10138525981488 |
24 | 0 | 0.255360412776669 | -0.255360412776669 |
25 | 1 | 0.371471764312975 | 0.628528235687025 |
26 | 0 | 0.366376141462114 | -0.366376141462114 |
27 | 0 | 0.290506951096755 | -0.290506951096755 |
28 | 0 | 0.4015226797822 | -0.4015226797822 |
29 | 0 | 0.136531798134966 | -0.136531798134966 |
30 | 0 | 0.131436175284105 | -0.131436175284105 |
31 | 0 | 0.16658271360419 | -0.16658271360419 |
32 | 0 | 0.32055786656598 | -0.32055786656598 |
33 | 0 | 0.285411328245894 | -0.285411328245894 |
34 | 1 | 0.136531798134966 | 0.863468201865034 |
35 | 0 | 0.16658271360419 | -0.16658271360419 |
36 | 0 | 0.16658271360419 | -0.16658271360419 |
37 | 1 | 0.520351294423904 | 0.479648705576096 |
38 | 0 | 0.371471764312976 | -0.371471764312976 |
39 | 0 | 0.10138525981488 | -0.10138525981488 |
40 | 1 | 0.131436175284105 | 0.868563824715895 |
41 | 0 | 0.409280412031108 | -0.409280412031108 |
42 | 0 | 0.371471764312976 | -0.371471764312976 |
43 | 0 | 0.255360412776669 | -0.255360412776669 |
44 | 1 | 0.32055786656598 | 0.67944213343402 |
45 | 0 | 0.131436175284105 | -0.131436175284105 |
46 | 0 | 0.10138525981488 | -0.10138525981488 |
47 | 0 | 0.16658271360419 | -0.16658271360419 |
48 | 0 | 0.136531798134966 | -0.136531798134966 |
49 | 0 | 0.10138525981488 | -0.10138525981488 |
50 | 0 | 0.16658271360419 | -0.16658271360419 |
51 | 1 | 0.4015226797822 | 0.5984773202178 |
52 | 1 | 0.593306480462122 | 0.406693519537878 |
53 | 0 | 0.136531798134966 | -0.136531798134966 |
54 | 0 | 0.474477865820419 | -0.474477865820419 |
55 | 0 | 0.16658271360419 | -0.16658271360419 |
56 | 1 | 0.371471764312975 | 0.628528235687025 |
57 | 0 | 0.33632522599289 | -0.33632522599289 |
58 | 0 | 0.136531798134966 | -0.136531798134966 |
59 | 0 | 0.136531798134966 | -0.136531798134966 |
60 | 1 | 0.563255564992898 | 0.436744435007102 |
61 | 1 | 0.290506951096756 | 0.709493048903244 |
62 | 0 | 0.366376141462114 | -0.366376141462114 |
63 | 0 | 0.16658271360419 | -0.16658271360419 |
64 | 1 | 0.290506951096756 | 0.709493048903244 |
65 | 0 | 0.16658271360419 | -0.16658271360419 |
66 | 0 | 0.16658271360419 | -0.16658271360419 |
67 | 1 | 0.439331327500333 | 0.560668672499667 |
68 | 0 | 0.32055786656598 | -0.32055786656598 |
69 | 0 | 0.136531798134966 | -0.136531798134966 |
70 | 0 | 0.4015226797822 | -0.4015226797822 |
71 | 0 | 0.16658271360419 | -0.16658271360419 |
72 | 0 | 0.136531798134966 | -0.136531798134966 |
73 | 0 | 0.371471764312976 | -0.371471764312976 |
74 | 0 | 0.55549783274399 | -0.55549783274399 |
75 | 0 | 0.136531798134966 | -0.136531798134966 |
76 | 1 | 0.10138525981488 | 0.89861474018512 |
77 | 0 | 0.136531798134966 | -0.136531798134966 |
78 | 0 | 0.33632522599289 | -0.33632522599289 |
79 | 1 | 0.444426950351194 | 0.555573049648806 |
80 | 1 | 0.131436175284105 | 0.868563824715895 |
81 | 0 | 0.16658271360419 | -0.16658271360419 |
82 | 0 | 0.525446917274765 | -0.525446917274765 |
83 | 0 | 0.16658271360419 | -0.16658271360419 |
84 | 0 | 0.474477865820419 | -0.474477865820419 |
85 | 0 | 0.10138525981488 | -0.10138525981488 |
86 | 0 | 0.32055786656598 | -0.32055786656598 |
87 | 3 | 3.26806368140767 | -0.268063681407672 |
88 | 4 | 3.50300364758568 | 0.496996352414318 |
89 | 3 | 3.14413944391511 | -0.144139443915107 |
90 | 3 | 3.11408852844588 | -0.114088528445883 |
91 | 3 | 3.10899290559502 | -0.108992905595022 |
92 | 4 | 3.2981145968769 | 0.701885403123103 |
93 | 3 | 3.26296805855681 | -0.262968058556811 |
94 | 3 | 3.14413944391511 | -0.144139443915107 |
95 | 4 | 3.14413944391511 | 0.855860556084892 |
96 | 3 | 3.11408852844588 | -0.114088528445883 |
97 | 4 | 3.2981145968769 | 0.701885403123103 |
98 | 3 | 3.14413944391511 | -0.144139443915107 |
99 | 3 | 3.2981145968769 | -0.298114596876897 |
100 | 3 | 3.11408852844588 | -0.114088528445883 |
101 | 3 | 3.26806368140767 | -0.268063681407672 |
102 | 3 | 3.14413944391511 | -0.144139443915107 |
103 | 3 | 3.14413944391511 | -0.144139443915107 |
104 | 3 | 3.14413944391511 | -0.144139443915107 |
105 | 4 | 3.37907941009312 | 0.620920589906882 |
106 | 3 | 3.14413944391511 | -0.144139443915107 |
107 | 3 | 3.14413944391511 | -0.144139443915107 |
108 | 4 | 3.53305456305491 | 0.466945436945093 |
109 | 3 | 3.14413944391511 | -0.144139443915107 |
110 | 3 | 3.2981145968769 | -0.298114596876897 |
111 | 4 | 3.49790802473482 | 0.502091975265179 |
112 | 4 | 3.14413944391511 | 0.855860556084892 |
113 | 3 | 3.37907941009312 | -0.379079410093117 |
114 | 4 | 3.53305456305491 | 0.466945436945093 |
115 | 3 | 3.2981145968769 | -0.298114596876897 |
116 | 3 | 3.14413944391511 | -0.144139443915107 |
117 | 3 | 3.26806368140767 | -0.268063681407672 |
118 | 3 | 3.2981145968769 | -0.298114596876897 |
119 | 3 | 3.14413944391511 | -0.144139443915107 |
120 | 3 | 3.11408852844588 | -0.114088528445883 |
121 | 3 | 3.2981145968769 | -0.298114596876897 |
122 | 3 | 3.14413944391511 | -0.144139443915107 |
123 | 4 | 3.53305456305491 | 0.466945436945093 |
124 | 3 | 3.31388195630381 | -0.313881956303807 |
125 | 3 | 3.11408852844588 | -0.114088528445883 |
126 | 4 | 3.14413944391511 | 0.855860556084892 |
127 | 3 | 3.10899290559502 | -0.108992905595022 |
128 | 3 | 3.11408852844588 | -0.114088528445883 |
129 | 3 | 3.14413944391511 | -0.144139443915107 |
130 | 3 | 3.11408852844588 | -0.114088528445883 |
131 | 3 | 3.2981145968769 | -0.298114596876897 |
132 | 3 | 3.26806368140767 | -0.268063681407672 |
133 | 3 | 3.53305456305491 | -0.533054563054907 |
134 | 3 | 3.14413944391511 | -0.144139443915107 |
135 | 3 | 3.14413944391511 | -0.144139443915107 |
136 | 3 | 3.14413944391511 | -0.144139443915107 |
137 | 3 | 3.4678571092656 | -0.467857109265596 |
138 | 4 | 3.4678571092656 | 0.532142890734404 |
139 | 4 | 3.14413944391511 | 0.855860556084892 |
140 | 3 | 3.14413944391511 | -0.144139443915107 |
141 | 3 | 3.42198368066211 | -0.421983680662111 |
142 | 4 | 3.34902849462389 | 0.650971505376107 |
143 | 3 | 3.2981145968769 | -0.298114596876897 |
144 | 3 | 3.0789419901258 | -0.0789419901257969 |
145 | 3 | 3.10899290559502 | -0.108992905595022 |
146 | 4 | 3.11408852844588 | 0.885911471554117 |
147 | 4 | 3.37907941009312 | 0.620920589906882 |
148 | 4 | 3.14413944391511 | 0.855860556084892 |
149 | 3 | 3.2981145968769 | -0.298114596876897 |
150 | 3 | 3.0789419901258 | -0.0789419901257969 |
151 | 3 | 3.11408852844588 | -0.114088528445883 |
152 | 3 | 3.60600974909313 | -0.606009749093126 |
153 | 3 | 3.57086321077304 | -0.570863210773039 |
154 | 3 | 3.53305456305491 | -0.533054563054907 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.92067601493996 | 0.15864797012008 | 0.0793239850600402 |
11 | 0.913312460521227 | 0.173375078957545 | 0.0866875394787727 |
12 | 0.853716862690868 | 0.292566274618264 | 0.146283137309132 |
13 | 0.776667499731019 | 0.446665000537963 | 0.223332500268981 |
14 | 0.739893182827083 | 0.520213634345835 | 0.260106817172917 |
15 | 0.651804687107799 | 0.696390625784401 | 0.348195312892201 |
16 | 0.794987020626379 | 0.410025958747242 | 0.205012979373621 |
17 | 0.728398635505393 | 0.543202728989214 | 0.271601364494607 |
18 | 0.696531955921885 | 0.606936088156229 | 0.303468044078115 |
19 | 0.637377976637153 | 0.725244046725694 | 0.362622023362847 |
20 | 0.624329459433476 | 0.751341081133048 | 0.375670540566524 |
21 | 0.55175065327768 | 0.896498693444641 | 0.44824934672232 |
22 | 0.700988696353126 | 0.598022607293747 | 0.299011303646874 |
23 | 0.662507687385184 | 0.674984625229632 | 0.337492312614816 |
24 | 0.601184927042782 | 0.797630145914437 | 0.398815072957218 |
25 | 0.564305476641776 | 0.871389046716449 | 0.435694523358224 |
26 | 0.504692319326689 | 0.990615361346621 | 0.495307680673311 |
27 | 0.578641485813961 | 0.842717028372078 | 0.421358514186039 |
28 | 0.630145797888882 | 0.739708404222236 | 0.369854202111118 |
29 | 0.583699025562977 | 0.832601948874046 | 0.416300974437023 |
30 | 0.536935483835205 | 0.92612903232959 | 0.463064516164795 |
31 | 0.482925522145523 | 0.965851044291046 | 0.517074477854477 |
32 | 0.4841465379871 | 0.968293075974199 | 0.5158534620129 |
33 | 0.429180079820509 | 0.858360159641019 | 0.570819920179491 |
34 | 0.56606750316684 | 0.867864993666321 | 0.43393249683316 |
35 | 0.515897627230475 | 0.968204745539049 | 0.484102372769525 |
36 | 0.465005598456764 | 0.930011196913527 | 0.534994401543236 |
37 | 0.517290209514342 | 0.965419580971316 | 0.482709790485658 |
38 | 0.547545968192137 | 0.904908063615726 | 0.452454031807863 |
39 | 0.493038062103077 | 0.986076124206155 | 0.506961937896923 |
40 | 0.728608311937238 | 0.542783376125524 | 0.271391688062762 |
41 | 0.777244910524132 | 0.445510178951735 | 0.222755089475868 |
42 | 0.763870098577337 | 0.472259802845325 | 0.236129901422663 |
43 | 0.73419943278395 | 0.5316011344321 | 0.26580056721605 |
44 | 0.773524696181509 | 0.452950607636983 | 0.226475303818492 |
45 | 0.73259493585042 | 0.534810128299159 | 0.267405064149579 |
46 | 0.688386655047112 | 0.623226689905776 | 0.311613344952888 |
47 | 0.649239886655094 | 0.701520226689812 | 0.350760113344906 |
48 | 0.604231983926339 | 0.791536032147322 | 0.395768016073661 |
49 | 0.555000069695836 | 0.889999860608328 | 0.444999930304164 |
50 | 0.511921235301135 | 0.97615752939773 | 0.488078764698865 |
51 | 0.555385357626178 | 0.889229284747644 | 0.444614642373822 |
52 | 0.530703616206644 | 0.938592767586712 | 0.469296383793356 |
53 | 0.483848491193605 | 0.96769698238721 | 0.516151508806395 |
54 | 0.538661884833914 | 0.922676230332171 | 0.461338115166086 |
55 | 0.494864678186332 | 0.989729356372664 | 0.505135321813668 |
56 | 0.545381172933124 | 0.909237654133751 | 0.454618827066876 |
57 | 0.52136244616473 | 0.95727510767054 | 0.47863755383527 |
58 | 0.475619679965827 | 0.951239359931655 | 0.524380320034173 |
59 | 0.430242236365214 | 0.860484472730428 | 0.569757763634786 |
60 | 0.423542229470822 | 0.847084458941645 | 0.576457770529178 |
61 | 0.496040588193881 | 0.992081176387763 | 0.503959411806119 |
62 | 0.478455716352549 | 0.956911432705098 | 0.521544283647451 |
63 | 0.435322105062072 | 0.870644210124145 | 0.564677894937928 |
64 | 0.525346094516237 | 0.949307810967525 | 0.474653905483763 |
65 | 0.481287545318454 | 0.962575090636908 | 0.518712454681546 |
66 | 0.437517457365269 | 0.875034914730537 | 0.562482542634731 |
67 | 0.494753639171747 | 0.989507278343494 | 0.505246360828253 |
68 | 0.489360485355836 | 0.978720970711672 | 0.510639514644164 |
69 | 0.444603154965089 | 0.889206309930177 | 0.555396845034911 |
70 | 0.447448182608344 | 0.894896365216688 | 0.552551817391656 |
71 | 0.404884647452155 | 0.809769294904311 | 0.595115352547845 |
72 | 0.362182323051456 | 0.724364646102912 | 0.637817676948544 |
73 | 0.363048540558659 | 0.726097081117318 | 0.636951459441341 |
74 | 0.420710293045038 | 0.841420586090076 | 0.579289706954962 |
75 | 0.380198606176444 | 0.760397212352887 | 0.619801393823556 |
76 | 0.578021615993577 | 0.843956768012845 | 0.421978384006423 |
77 | 0.534789627731333 | 0.930420744537335 | 0.465210372268667 |
78 | 0.528464526553384 | 0.943070946893231 | 0.471535473446616 |
79 | 0.622748464522937 | 0.754503070954126 | 0.377251535477063 |
80 | 0.810654967675193 | 0.378690064649614 | 0.189345032324807 |
81 | 0.778067386349973 | 0.443865227300055 | 0.221932613650028 |
82 | 0.788995864289308 | 0.422008271421384 | 0.211004135710692 |
83 | 0.755863900022516 | 0.488272199954968 | 0.244136099977484 |
84 | 0.753364550382906 | 0.493270899234187 | 0.246635449617094 |
85 | 0.719144695623402 | 0.561710608753196 | 0.280855304376598 |
86 | 0.692771533687244 | 0.614456932625511 | 0.307228466312756 |
87 | 0.650402790780844 | 0.699194418438312 | 0.349597209219156 |
88 | 0.674531173158249 | 0.650937653683502 | 0.325468826841751 |
89 | 0.638965551481227 | 0.722068897037547 | 0.361034448518773 |
90 | 0.595506622842055 | 0.80898675431589 | 0.404493377157945 |
91 | 0.548909199932368 | 0.902181600135264 | 0.451090800067632 |
92 | 0.661170112046654 | 0.677659775906692 | 0.338829887953346 |
93 | 0.63108556561369 | 0.73782886877262 | 0.36891443438631 |
94 | 0.593327322055854 | 0.813345355888292 | 0.406672677944146 |
95 | 0.72554153640346 | 0.548916927193079 | 0.27445846359654 |
96 | 0.688063051235911 | 0.623873897528178 | 0.311936948764089 |
97 | 0.80266559326558 | 0.394668813468841 | 0.19733440673442 |
98 | 0.774905261021666 | 0.450189477956669 | 0.225094738978334 |
99 | 0.752983488658681 | 0.494033022682637 | 0.247016511341318 |
100 | 0.71600096946651 | 0.56799806106698 | 0.28399903053349 |
101 | 0.685736495641929 | 0.628527008716142 | 0.314263504358071 |
102 | 0.648137751956558 | 0.703724496086883 | 0.351862248043442 |
103 | 0.609344223834198 | 0.781311552331604 | 0.390655776165802 |
104 | 0.569910150394388 | 0.860179699211224 | 0.430089849605612 |
105 | 0.578188839645494 | 0.843622320709012 | 0.421811160354506 |
106 | 0.538553642292126 | 0.922892715415748 | 0.461446357707874 |
107 | 0.499196526383389 | 0.998393052766779 | 0.500803473616611 |
108 | 0.497910146330006 | 0.995820292660013 | 0.502089853669994 |
109 | 0.459428749426597 | 0.918857498853195 | 0.540571250573403 |
110 | 0.422531134362067 | 0.845062268724134 | 0.577468865637933 |
111 | 0.46566775993116 | 0.93133551986232 | 0.53433224006884 |
112 | 0.6080378270498 | 0.7839243459004 | 0.3919621729502 |
113 | 0.690143077951568 | 0.619713844096865 | 0.309856922048432 |
114 | 0.697228421907296 | 0.605543156185408 | 0.302771578092704 |
115 | 0.65850364973718 | 0.682992700525639 | 0.34149635026282 |
116 | 0.621940330499515 | 0.75611933900097 | 0.378059669500485 |
117 | 0.575877483651557 | 0.848245032696887 | 0.424122516348443 |
118 | 0.528548977496009 | 0.942902045007983 | 0.471451022503991 |
119 | 0.490071524223118 | 0.980143048446235 | 0.509928475776882 |
120 | 0.442555442383125 | 0.885110884766249 | 0.557444557616875 |
121 | 0.392745432510694 | 0.785490865021389 | 0.607254567489306 |
122 | 0.358156681897972 | 0.716313363795945 | 0.641843318102028 |
123 | 0.383846656132401 | 0.767693312264802 | 0.616153343867599 |
124 | 0.411287274551123 | 0.822574549102246 | 0.588712725448877 |
125 | 0.370422322329446 | 0.740844644658892 | 0.629577677670554 |
126 | 0.520260718921815 | 0.959478562156369 | 0.479739281078185 |
127 | 0.458702553592142 | 0.917405107184285 | 0.541297446407857 |
128 | 0.416901549022485 | 0.83380309804497 | 0.583098450977515 |
129 | 0.373623207617929 | 0.747246415235859 | 0.62637679238207 |
130 | 0.34393884276731 | 0.68787768553462 | 0.65606115723269 |
131 | 0.286195987232931 | 0.572391974465862 | 0.713804012767069 |
132 | 0.229781181549675 | 0.459562363099351 | 0.770218818450325 |
133 | 0.23959951091311 | 0.479199021826219 | 0.760400489086891 |
134 | 0.208801355342212 | 0.417602710684424 | 0.791198644657788 |
135 | 0.18694052799483 | 0.373881055989661 | 0.81305947200517 |
136 | 0.177101848841542 | 0.354203697683084 | 0.822898151158458 |
137 | 0.161596411282814 | 0.323192822565628 | 0.838403588717186 |
138 | 0.317540042046705 | 0.63508008409341 | 0.682459957953295 |
139 | 0.347138087983295 | 0.694276175966591 | 0.652861912016705 |
140 | 0.423357639073914 | 0.846715278147829 | 0.576642360926086 |
141 | 0.550319407436439 | 0.899361185127123 | 0.449680592563561 |
142 | 0.483287027741811 | 0.966574055483622 | 0.516712972258189 |
143 | 0.348182989525336 | 0.696365979050672 | 0.651817010474664 |
144 | 0.215160493150613 | 0.430320986301227 | 0.784839506849387 |
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 |