Multiple Linear Regression - Estimated Regression Equation |
Parental[t] = -2.65680401101486e-14 + 1.00000000000000Standards[t] + 0.999999999999999Best[t] + 1.00000000000000Performance[t] + 1Excellence[t] + 0.999999999999999Expectations[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) | -2.65680401101486e-14 | 0 | -5.3371 | 0 | 0 |
Standards | 1.00000000000000 | 0 | 686969967432572 | 0 | 0 |
Best | 0.999999999999999 | 0 | 773225989758168 | 0 | 0 |
Performance | 1.00000000000000 | 0 | 535281692331932 | 0 | 0 |
Excellence | 1 | 0 | 562060524160205 | 0 | 0 |
Expectations | 0.999999999999999 | 0 | 590173590393371 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 1 |
R-squared | 1 |
Adjusted R-squared | 1 |
F-TEST (value) | 1.55470383404813e+30 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 152 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.54714534346309e-14 |
Sum Squared Residuals | 3.63836124497528e-26 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 11.0000000000002 | -1.86691117805923e-13 |
2 | 7 | 7 | -6.12608115143102e-15 |
3 | 17 | 17 | 1.18067665896588e-14 |
4 | 10 | 10 | -8.4413608287485e-16 |
5 | 12 | 12 | -2.42434767179544e-15 |
6 | 12 | 12 | -4.95846266774762e-16 |
7 | 11 | 11 | -4.35847577622514e-15 |
8 | 11 | 11 | 3.49362523962373e-15 |
9 | 12 | 12 | 6.82367421107632e-15 |
10 | 13 | 13 | 7.16936328542979e-15 |
11 | 14 | 14 | 1.08352229214418e-15 |
12 | 16 | 16 | -6.05291802281138e-15 |
13 | 11 | 11 | -3.90593651259474e-16 |
14 | 10 | 10 | 2.2402834060974e-15 |
15 | 11 | 11 | 2.88464340642885e-15 |
16 | 15 | 15 | -2.32301929615634e-15 |
17 | 9 | 9 | -3.90593651259474e-16 |
18 | 11 | 11 | 1.84735807748512e-15 |
19 | 17 | 17 | -1.12897142312900e-15 |
20 | 17 | 17 | 5.74672842080907e-15 |
21 | 11 | 11 | 1.49110957992390e-15 |
22 | 18 | 18 | -5.2788244698472e-16 |
23 | 14 | 14 | 1.66893037016780e-15 |
24 | 10 | 10 | -3.90593651259474e-16 |
25 | 11 | 11 | -2.96793992198415e-15 |
26 | 15 | 15 | 1.05852629392916e-15 |
27 | 15 | 15 | 2.94528783731010e-15 |
28 | 13 | 13 | 1.65069534592632e-15 |
29 | 16 | 16 | -1.07766003482552e-16 |
30 | 13 | 13 | 4.47398897902955e-15 |
31 | 9 | 9 | 6.12467351564397e-16 |
32 | 18 | 18 | -1.40834275997939e-15 |
33 | 18 | 18 | 4.67001022787386e-15 |
34 | 12 | 12 | 3.61417872554474e-15 |
35 | 17 | 17 | -1.58811097123877e-15 |
36 | 9 | 9 | 4.98458756252793e-16 |
37 | 9 | 9 | 2.13800244220747e-15 |
38 | 12 | 12 | 3.69595432843291e-16 |
39 | 18 | 18 | 1.49308181637967e-15 |
40 | 12 | 12 | 3.64469387856098e-15 |
41 | 18 | 18 | -1.14504749719689e-15 |
42 | 14 | 14 | 5.66093133595112e-15 |
43 | 15 | 15 | 1.22781932502354e-15 |
44 | 16 | 16 | 1.66893037016780e-15 |
45 | 10 | 10 | -8.0582157435116e-16 |
46 | 11 | 11 | 1.08352229214418e-15 |
47 | 14 | 14 | 4.98458756252793e-16 |
48 | 9 | 9 | -2.14480634091483e-15 |
49 | 12 | 12 | -3.62729962676029e-15 |
50 | 17 | 17 | 3.46091363864431e-15 |
51 | 5 | 5 | -2.14480634091483e-15 |
52 | 12 | 12 | 4.67001022787386e-15 |
53 | 12 | 12 | 4.45791290496164e-15 |
54 | 6 | 6 | -1.95627619255832e-15 |
55 | 24 | 24 | 1.83726626853026e-15 |
56 | 12 | 12 | 4.67001022787386e-15 |
57 | 12 | 12 | 1.08352229214418e-15 |
58 | 14 | 14 | -1.26181817385017e-15 |
59 | 7 | 7 | 5.77629707317773e-15 |
60 | 13 | 13 | 4.67001022787386e-15 |
61 | 12 | 12 | 2.94528783731010e-15 |
62 | 13 | 13 | 4.007660844424e-15 |
63 | 14 | 14 | 2.66553563319064e-15 |
64 | 8 | 8 | 5.60463033983395e-15 |
65 | 11 | 11 | 4.21961364039418e-15 |
66 | 9 | 9 | -3.90593651259474e-16 |
67 | 11 | 11 | 2.94528783731010e-15 |
68 | 13 | 13 | 4.82967567844166e-15 |
69 | 10 | 10 | 3.33860583792857e-15 |
70 | 11 | 11 | 1.33112352078059e-15 |
71 | 12 | 12 | 4.07429337564769e-15 |
72 | 9 | 9 | -2.32301929615634e-15 |
73 | 15 | 15 | 6.12467351564397e-16 |
74 | 18 | 18 | -1.07897942669896e-15 |
75 | 15 | 15 | 4.67001022787386e-15 |
76 | 12 | 12 | 2.20084832893404e-15 |
77 | 13 | 13 | 1.08352229214418e-15 |
78 | 14 | 14 | 2.2402834060974e-15 |
79 | 10 | 10 | -7.9941649816154e-15 |
80 | 13 | 13 | 2.42250705870786e-15 |
81 | 13 | 13 | -3.90593651259474e-16 |
82 | 11 | 11 | 4.24483885799875e-15 |
83 | 13 | 13 | 2.56166830799615e-15 |
84 | 16 | 16 | 2.74422720194282e-15 |
85 | 8 | 8 | 1.22781932502354e-15 |
86 | 16 | 16 | -8.0582157435116e-16 |
87 | 11 | 11 | 5.88652953075434e-15 |
88 | 9 | 9 | 1.22781932502354e-15 |
89 | 16 | 16 | -2.52525642732676e-16 |
90 | 12 | 12 | 1.08352229214418e-15 |
91 | 14 | 14 | 1.18833361404518e-15 |
92 | 8 | 8 | 4.07429337564769e-15 |
93 | 9 | 9 | 4.47894500439334e-15 |
94 | 15 | 15 | -3.90593651259474e-16 |
95 | 11 | 11 | -4.03591515428926e-15 |
96 | 21 | 21 | 5.25170071388139e-15 |
97 | 14 | 14 | -7.51897450068611e-16 |
98 | 18 | 18 | 1.18122809793941e-15 |
99 | 12 | 12 | -1.58732112635287e-15 |
100 | 13 | 13 | 2.21929943653966e-15 |
101 | 15 | 15 | -2.52525642732676e-16 |
102 | 12 | 12 | 3.42246330903420e-16 |
103 | 19 | 19 | 2.78388766326633e-15 |
104 | 15 | 15 | -3.90593651259474e-16 |
105 | 11 | 11 | 6.80302164762539e-15 |
106 | 11 | 11 | 1.16277699033379e-15 |
107 | 10 | 10 | 5.77629707317773e-15 |
108 | 13 | 13 | -1.07897942669896e-15 |
109 | 15 | 15 | 4.67001022787386e-15 |
110 | 12 | 12 | 1.49308181637967e-15 |
111 | 12 | 12 | 1.93796087111563e-15 |
112 | 16 | 16 | 3.91233508004863e-15 |
113 | 9 | 9 | 3.69595432843291e-16 |
114 | 18 | 18 | 4.30012078984046e-15 |
115 | 8 | 8 | 2.94528783731010e-15 |
116 | 13 | 13 | -1.88491435141932e-15 |
117 | 17 | 17 | 3.91233508004863e-15 |
118 | 9 | 9 | -1.55539937025935e-15 |
119 | 15 | 15 | 6.57657474451254e-16 |
120 | 8 | 8 | -1.26181817385017e-15 |
121 | 7 | 7 | -2.52525642732676e-16 |
122 | 12 | 12 | 2.97580299032634e-15 |
123 | 14 | 14 | 1.12730330801270e-15 |
124 | 6 | 6 | -1.04435688974773e-17 |
125 | 8 | 8 | -1.06976158596646e-16 |
126 | 17 | 17 | 6.32100850739869e-16 |
127 | 10 | 10 | -3.90593651259474e-16 |
128 | 11 | 11 | 2.49741581819231e-15 |
129 | 14 | 14 | -3.90593651259474e-16 |
130 | 11 | 11 | -5.86153175616588e-16 |
131 | 13 | 13 | 1.83726626853026e-15 |
132 | 12 | 12 | -3.78157733029553e-17 |
133 | 11 | 11 | -2.51020147807165e-15 |
134 | 9 | 9 | 4.67001022787386e-15 |
135 | 12 | 12 | -9.36652126334298e-16 |
136 | 20 | 20 | 4.67001022787386e-15 |
137 | 12 | 12 | -5.86153175616588e-16 |
138 | 13 | 13 | -2.52525642732676e-16 |
139 | 12 | 12 | 7.69469621799674e-16 |
140 | 12 | 12 | 4.98458756252793e-16 |
141 | 9 | 9 | 6.23244782449735e-15 |
142 | 15 | 15 | -3.15466750034976e-15 |
143 | 24 | 24 | 2.71371204892658e-15 |
144 | 7 | 7 | -4.13344237450995e-15 |
145 | 17 | 17 | -3.90593651259474e-16 |
146 | 11 | 11 | 1.47999320781359e-15 |
147 | 17 | 17 | -3.90593651259474e-16 |
148 | 11 | 11 | 1.90248718879454e-15 |
149 | 12 | 12 | 1.08352229214418e-15 |
150 | 14 | 14 | -3.78157733029553e-17 |
151 | 11 | 11 | 2.56166830799615e-15 |
152 | 16 | 16 | -5.55789665505415e-15 |
153 | 21 | 21 | 1.08352229214418e-15 |
154 | 14 | 14 | -2.07920588466979e-15 |
155 | 20 | 20 | 2.94528783731010e-15 |
156 | 13 | 13 | -3.90593651259474e-16 |
157 | 11 | 11 | 1.05852629392916e-15 |
158 | 15 | 15 | -2.63408316971069e-15 |
159 | 19 | NA | NA |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.000666224684031311 | 0.00133244936806262 | 0.999333775315969 |
10 | 0.0115244029645687 | 0.0230488059291375 | 0.988475597035431 |
11 | 0.00153021217789343 | 0.00306042435578687 | 0.998469787822106 |
12 | 0.00221530628902060 | 0.00443061257804120 | 0.99778469371098 |
13 | 0.0017026935850312 | 0.0034053871700624 | 0.998297306414969 |
14 | 1.33213774753360e-07 | 2.66427549506721e-07 | 0.999999866786225 |
15 | 5.69819777668368e-09 | 1.13963955533674e-08 | 0.999999994301802 |
16 | 1.07055242362315e-14 | 2.14110484724629e-14 | 0.99999999999999 |
17 | 4.54358849776291e-11 | 9.08717699552581e-11 | 0.999999999954564 |
18 | 9.4503051272602e-14 | 1.89006102545204e-13 | 0.999999999999906 |
19 | 5.59859453874227e-12 | 1.11971890774845e-11 | 0.9999999999944 |
20 | 3.04186332258892e-07 | 6.08372664517784e-07 | 0.999999695813668 |
21 | 0.535717883370869 | 0.928564233258262 | 0.464282116629131 |
22 | 1.00702468622744e-10 | 2.01404937245489e-10 | 0.999999999899298 |
23 | 3.00437210878664e-15 | 6.00874421757328e-15 | 0.999999999999997 |
24 | 6.98427516624282e-05 | 0.000139685503324856 | 0.999930157248338 |
25 | 1.70942557174713e-13 | 3.41885114349426e-13 | 0.999999999999829 |
26 | 1.41050510355805e-18 | 2.82101020711611e-18 | 1 |
27 | 3.32471193124165e-07 | 6.6494238624833e-07 | 0.999999667528807 |
28 | 1.31598892615038e-19 | 2.63197785230075e-19 | 1 |
29 | 0.99999999999911 | 1.77922350605650e-12 | 8.89611753028252e-13 |
30 | 3.20481090617697e-09 | 6.40962181235394e-09 | 0.99999999679519 |
31 | 6.218533232402e-11 | 1.2437066464804e-10 | 0.999999999937815 |
32 | 7.07673762244338e-05 | 0.000141534752448868 | 0.999929232623776 |
33 | 0.283944637722693 | 0.567889275445385 | 0.716055362277307 |
34 | 0.999999995711524 | 8.57695174713783e-09 | 4.28847587356891e-09 |
35 | 1.07380598771954e-20 | 2.14761197543909e-20 | 1 |
36 | 3.55822249519096e-33 | 7.11644499038191e-33 | 1 |
37 | 9.27584800643776e-05 | 0.000185516960128755 | 0.999907241519936 |
38 | 1.10901374120808e-23 | 2.21802748241615e-23 | 1 |
39 | 2.21349287881445e-05 | 4.42698575762889e-05 | 0.999977865071212 |
40 | 0.972188887484956 | 0.0556222250300887 | 0.0278111125150444 |
41 | 0.000735663372890554 | 0.00147132674578111 | 0.99926433662711 |
42 | 4.65656290656921e-15 | 9.31312581313842e-15 | 0.999999999999995 |
43 | 6.01121768029407e-09 | 1.20224353605881e-08 | 0.999999993988782 |
44 | 3.09014841975990e-24 | 6.18029683951979e-24 | 1 |
45 | 5.99123960212877e-12 | 1.19824792042575e-11 | 0.999999999994009 |
46 | 0.999999999999963 | 7.38708709982437e-14 | 3.69354354991219e-14 |
47 | 5.9158145171579e-14 | 1.18316290343158e-13 | 0.99999999999994 |
48 | 7.92776261543991e-09 | 1.58555252308798e-08 | 0.999999992072237 |
49 | 3.74219588174663e-18 | 7.48439176349327e-18 | 1 |
50 | 0.999998913938082 | 2.17212383655960e-06 | 1.08606191827980e-06 |
51 | 1.83766228940365e-05 | 3.6753245788073e-05 | 0.999981623377106 |
52 | 0.998254839891785 | 0.00349032021643016 | 0.00174516010821508 |
53 | 0.999993984743956 | 1.20305120878462e-05 | 6.01525604392312e-06 |
54 | 5.79283674955538e-22 | 1.15856734991108e-21 | 1 |
55 | 5.6452979269295e-06 | 1.1290595853859e-05 | 0.999994354702073 |
56 | 5.23709400560721e-10 | 1.04741880112144e-09 | 0.99999999947629 |
57 | 6.33325353062766e-09 | 1.26665070612553e-08 | 0.999999993666747 |
58 | 2.88484006987951e-30 | 5.76968013975903e-30 | 1 |
59 | 1 | 3.49853746504322e-20 | 1.74926873252161e-20 |
60 | 0.00172247365966474 | 0.00344494731932948 | 0.998277526340335 |
61 | 0.999999999999865 | 2.70383262038728e-13 | 1.35191631019364e-13 |
62 | 0.00552794804168146 | 0.0110558960833629 | 0.994472051958319 |
63 | 1.18107245907214e-15 | 2.36214491814428e-15 | 0.999999999999999 |
64 | 6.75722776764388e-47 | 1.35144555352878e-46 | 1 |
65 | 0.999501173341646 | 0.000997653316707268 | 0.000498826658353634 |
66 | 3.09952957835378e-05 | 6.19905915670757e-05 | 0.999969004704216 |
67 | 5.64992261872775e-15 | 1.12998452374555e-14 | 0.999999999999994 |
68 | 0.996681646306375 | 0.00663670738724962 | 0.00331835369362481 |
69 | 0.596824733191774 | 0.806350533616452 | 0.403175266808226 |
70 | 0.0209282134644016 | 0.0418564269288032 | 0.979071786535598 |
71 | 1.08638006564165e-31 | 2.17276013128331e-31 | 1 |
72 | 0.999965519446022 | 6.89611079563952e-05 | 3.44805539781976e-05 |
73 | 1.79490050411299e-72 | 3.58980100822598e-72 | 1 |
74 | 1.04517154407862e-12 | 2.09034308815725e-12 | 0.999999999998955 |
75 | 0.999999999999879 | 2.42639288073833e-13 | 1.21319644036916e-13 |
76 | 0.00281627168275108 | 0.00563254336550217 | 0.997183728317249 |
77 | 7.87200434166436e-39 | 1.57440086833287e-38 | 1 |
78 | 1 | 2.58993171204631e-51 | 1.29496585602315e-51 |
79 | 0.999997930842236 | 4.13831552758221e-06 | 2.06915776379110e-06 |
80 | 4.81071051417498e-43 | 9.62142102834997e-43 | 1 |
81 | 1 | 3.87715571283853e-33 | 1.93857785641927e-33 |
82 | 0.981621525339221 | 0.0367569493215576 | 0.0183784746607788 |
83 | 0.99804249677896 | 0.00391500644208085 | 0.00195750322104043 |
84 | 1 | 1.75823948399623e-64 | 8.79119741998113e-65 |
85 | 1 | 4.07331118603039e-43 | 2.03665559301519e-43 |
86 | 7.66819454319872e-19 | 1.53363890863974e-18 | 1 |
87 | 0.999999990211025 | 1.95779498920523e-08 | 9.78897494602615e-09 |
88 | 0.999768630017897 | 0.000462739964206426 | 0.000231369982103213 |
89 | 1.97300104527200e-06 | 3.94600209054399e-06 | 0.999998026998955 |
90 | 1.53169089566197e-17 | 3.06338179132395e-17 | 1 |
91 | 0.999999997168683 | 5.66263417594927e-09 | 2.83131708797464e-09 |
92 | 0.0446084870228063 | 0.0892169740456125 | 0.955391512977194 |
93 | 0.999999964194846 | 7.1610307346585e-08 | 3.58051536732925e-08 |
94 | 1 | 3.21518104225792e-27 | 1.60759052112896e-27 |
95 | 1 | 2.42423022762367e-35 | 1.21211511381184e-35 |
96 | 1 | 3.95650342684721e-25 | 1.97825171342361e-25 |
97 | 0.965858994812188 | 0.0682820103756231 | 0.0341410051878116 |
98 | 1.25050959236739e-11 | 2.50101918473477e-11 | 0.999999999987495 |
99 | 1.15746185188430e-08 | 2.31492370376861e-08 | 0.999999988425381 |
100 | 0.999999996372407 | 7.2551864214854e-09 | 3.6275932107427e-09 |
101 | 1 | 4.42857421297135e-22 | 2.21428710648567e-22 |
102 | 0.999999999967236 | 6.55283376743271e-11 | 3.27641688371636e-11 |
103 | 0.999999999999831 | 3.37132285092664e-13 | 1.68566142546332e-13 |
104 | 1 | 4.89436055401629e-30 | 2.44718027700814e-30 |
105 | 3.61677298513517e-08 | 7.23354597027034e-08 | 0.99999996383227 |
106 | 0.99993608589299 | 0.000127828214020494 | 6.3914107010247e-05 |
107 | 0.000124202445695585 | 0.000248404891391170 | 0.999875797554304 |
108 | 4.01330776508591e-33 | 8.02661553017182e-33 | 1 |
109 | 1 | 4.67941946814384e-18 | 2.33970973407192e-18 |
110 | 1 | 3.50320966198872e-16 | 1.75160483099436e-16 |
111 | 0.999999990320773 | 1.93584540327106e-08 | 9.6792270163553e-09 |
112 | 0.99999975391838 | 4.9216323981864e-07 | 2.4608161990932e-07 |
113 | 0.999999999999994 | 1.18913102476947e-14 | 5.94565512384737e-15 |
114 | 0.946007365898016 | 0.107985268203968 | 0.0539926341019838 |
115 | 1 | 4.4408115856297e-26 | 2.22040579281485e-26 |
116 | 0.999999999999824 | 3.52326296740756e-13 | 1.76163148370378e-13 |
117 | 0.999942510809054 | 0.000114978381891319 | 5.74891909456597e-05 |
118 | 0.0164558068785331 | 0.0329116137570662 | 0.983544193121467 |
119 | 1 | 1.97622225235386e-36 | 9.88111126176928e-37 |
120 | 0.919009232303574 | 0.161981535392851 | 0.0809907676964256 |
121 | 1 | 6.96865285271432e-23 | 3.48432642635716e-23 |
122 | 1 | 5.76350193630122e-16 | 2.88175096815061e-16 |
123 | 0.999999999999313 | 1.37343076211827e-12 | 6.86715381059137e-13 |
124 | 0.999998314897548 | 3.3702049050245e-06 | 1.68510245251225e-06 |
125 | 0.99999999659679 | 6.80641867444525e-09 | 3.40320933722262e-09 |
126 | 0.143406150206575 | 0.286812300413150 | 0.856593849793425 |
127 | 0.00274053628443465 | 0.00548107256886930 | 0.997259463715565 |
128 | 0.999990462492026 | 1.90750159482805e-05 | 9.53750797414027e-06 |
129 | 4.31371288288625e-30 | 8.62742576577249e-30 | 1 |
130 | 1 | 5.83199629911265e-20 | 2.91599814955632e-20 |
131 | 0.346470404213288 | 0.692940808426575 | 0.653529595786712 |
132 | 1 | 2.19443606097777e-18 | 1.09721803048889e-18 |
133 | 0.999999999957276 | 8.544755065743e-11 | 4.2723775328715e-11 |
134 | 0.999999999998103 | 3.79389036876307e-12 | 1.89694518438154e-12 |
135 | 0.999997252583497 | 5.49483300560415e-06 | 2.74741650280208e-06 |
136 | 0.999999999999991 | 1.70672325510816e-14 | 8.5336162755408e-15 |
137 | 0.253670928045803 | 0.507341856091606 | 0.746329071954197 |
138 | 0.999999924556037 | 1.50887925836799e-07 | 7.54439629183993e-08 |
139 | 0.999988227005767 | 2.35459884657689e-05 | 1.17729942328844e-05 |
140 | 0.999999999476728 | 1.04654471689541e-09 | 5.23272358447707e-10 |
141 | 0.99993561399821 | 0.000128772003581256 | 6.43860017906282e-05 |
142 | 0.999999999999877 | 2.46565586437393e-13 | 1.23282793218696e-13 |
143 | 0.999999924204296 | 1.51591407448704e-07 | 7.5795703724352e-08 |
144 | 0.99999873206182 | 2.53587635859775e-06 | 1.26793817929887e-06 |
145 | 0.99999725032264 | 5.49935471965006e-06 | 2.74967735982503e-06 |
146 | 0.889991847315873 | 0.220016305368253 | 0.110008152684127 |
147 | 0.999999777091868 | 4.45816262870783e-07 | 2.22908131435392e-07 |
148 | 0.997031001478745 | 0.00593799704251037 | 0.00296899852125518 |
149 | 0.999344702060008 | 0.00131059587998402 | 0.000655297939992008 |
150 | 0.765442377698045 | 0.46911524460391 | 0.234557622301955 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 124 | 0.873239436619718 | NOK |
5% type I error level | 129 | 0.908450704225352 | NOK |
10% type I error level | 132 | 0.929577464788732 | NOK |