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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_multipleregression.wasp
Title produced by softwareMultiple Regression
Date of computationFri, 16 Dec 2016 13:28:41 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/16/t1481891339yh94xbeqq4jzs8f.htm/, Retrieved Thu, 02 May 2024 18:00:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300211, Retrieved Thu, 02 May 2024 18:00:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Multiple Regression] [multipe regressio...] [2016-12-16 12:28:41] [2d1dd91c3b5ba64567b1d6b2c9fe9017] [Current]
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Dataseries X:
5	4	9
3	2	11
5	3	13
4	2	11
4	2	12
5	3	11
3	3	12
5	2	12
5	2	13
5	4	12
5	2	12
4	2	11
4	3	12
5	2	10
5	3	12
5	2	12
4	2	12
5	5	12
5	3	13
5	2	11
5	2	11
4	3	11
5	1	11
4	2	13
5	3	11
4	2	12
5	2	11
4	3	12
5	5	12
5	2	10
5	5	11
5	2	12
5	2	11
4	4	9
4	1	12
4	2	11
4	2	11
5	3	12
5	2	13
5	3	11
5	2	12
5	3	9
5	4	12
5	4	11
5	3	12
5	2	12
4	2	11
5	4	10
5	4	9
5	3	12
4	2	13
5	2	13
4	2	9
3	2	11
3	3	11
4	2	11
5	2	12
5	3	12
4	3	11
5	2	12
5	2	11
5	4	12
5	4	11
4	3	11
5	4	8
4	4	12
5	4	11
2	4	12
3	5	11
5	3	11
5	4	11
3	4	10
5	2	10
3	2	13
4	3	11
3	4	11
5	2	11
4	5	13
5	1	12
5	3	12
4	3	9
4	2	12
5	2	12
5	1	13
4	2	15
5	1	13
5	2	13
5	2	11
4	2	12
4	2	9
4	3	11
3	2	13
4	1	12
5	1	13
5	3	11
4	2	12
5	3	14
2	1	13
5	2	11
5	2	12
4	3	13
5	2	11
5	2	11
4	3	11
5	1	13
5	4	12
5	3	12
5	2	11
5	3	12
5	3	12
4	3	10
5	4	11
3	3	9
4	2	14
5	3	12
5	2	11
1	1	13
5	1	11
5	2	11
4	4	11
4	3	11
5	2	12
5	2	11
5	3	13
5	3	11
5	3	11
3	2	12
4	2	11
5	2	11
5	3	9
5	4	12
4	2	14
5	2	10
4	1	9
4	3	12
4	3	14
4	4	9
4	3	11
5	1	14
2	1	13
5	2	10
4	1	11
5	5	12
5	3	10
4	2	13
4	2	12
2	4	14
5	2	10
5	4	12
5	4	9
4	3	12
5	4	11
5	3	11
4	4	10
5	3	11
5	4	12
2	2	10
5	4	11
3	1	13
5	4	11
4	3	13
5	2	12
4	2	11
5	2	12
5	4	10
5	3	12
4	3	10
2	2	13




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time9 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]9 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300211&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R ServerBig Analytics Cloud Computing Center







Multiple Linear Regression - Estimated Regression Equation
TVDCSUM[t] = + 12.89 -0.157635EP2[t] -0.267706EP3[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
TVDCSUM[t] =  +  12.89 -0.157635EP2[t] -0.267706EP3[t]  + e[t] \tabularnewline
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]TVDCSUM[t] =  +  12.89 -0.157635EP2[t] -0.267706EP3[t]  + e[t][/C][/ROW]
[ROW][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Estimated Regression Equation
TVDCSUM[t] = + 12.89 -0.157635EP2[t] -0.267706EP3[t] + e[t]







Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)+12.89 0.5373+2.3990e+01 1.134e-55 5.67e-56
EP2-0.1576 0.1128-1.3970e+00 0.1642 0.08211
EP3-0.2677 0.09309-2.8760e+00 0.004561 0.00228

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Ordinary Least Squares \tabularnewline
Variable & Parameter & S.D. & T-STATH0: parameter = 0 & 2-tail p-value & 1-tail p-value \tabularnewline
(Intercept) & +12.89 &  0.5373 & +2.3990e+01 &  1.134e-55 &  5.67e-56 \tabularnewline
EP2 & -0.1576 &  0.1128 & -1.3970e+00 &  0.1642 &  0.08211 \tabularnewline
EP3 & -0.2677 &  0.09309 & -2.8760e+00 &  0.004561 &  0.00228 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=2

[TABLE]
[ROW][C]Multiple Linear Regression - Ordinary Least Squares[/C][/ROW]
[ROW][C]Variable[/C][C]Parameter[/C][C]S.D.[/C][C]T-STATH0: parameter = 0[/C][C]2-tail p-value[/C][C]1-tail p-value[/C][/ROW]
[ROW][C](Intercept)[/C][C]+12.89[/C][C] 0.5373[/C][C]+2.3990e+01[/C][C] 1.134e-55[/C][C] 5.67e-56[/C][/ROW]
[ROW][C]EP2[/C][C]-0.1576[/C][C] 0.1128[/C][C]-1.3970e+00[/C][C] 0.1642[/C][C] 0.08211[/C][/ROW]
[ROW][C]EP3[/C][C]-0.2677[/C][C] 0.09309[/C][C]-2.8760e+00[/C][C] 0.004561[/C][C] 0.00228[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)+12.89 0.5373+2.3990e+01 1.134e-55 5.67e-56
EP2-0.1576 0.1128-1.3970e+00 0.1642 0.08211
EP3-0.2677 0.09309-2.8760e+00 0.004561 0.00228







Multiple Linear Regression - Regression Statistics
Multiple R 0.2538
R-squared 0.0644
Adjusted R-squared 0.05306
F-TEST (value) 5.679
F-TEST (DF numerator)2
F-TEST (DF denominator)165
p-value 0.004121
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.19
Sum Squared Residuals 233.8

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R &  0.2538 \tabularnewline
R-squared &  0.0644 \tabularnewline
Adjusted R-squared &  0.05306 \tabularnewline
F-TEST (value) &  5.679 \tabularnewline
F-TEST (DF numerator) & 2 \tabularnewline
F-TEST (DF denominator) & 165 \tabularnewline
p-value &  0.004121 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation &  1.19 \tabularnewline
Sum Squared Residuals &  233.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C] 0.2538[/C][/ROW]
[ROW][C]R-squared[/C][C] 0.0644[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C] 0.05306[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C] 5.679[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]2[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]165[/C][/ROW]
[ROW][C]p-value[/C][C] 0.004121[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C] 1.19[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C] 233.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Regression Statistics
Multiple R 0.2538
R-squared 0.0644
Adjusted R-squared 0.05306
F-TEST (value) 5.679
F-TEST (DF numerator)2
F-TEST (DF denominator)165
p-value 0.004121
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.19
Sum Squared Residuals 233.8







Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
1 9 11.03-2.031
2 11 11.88-0.8817
3 13 11.3 1.701
4 11 11.72-0.724
5 12 11.72 0.276
6 11 11.3-0.2987
7 12 11.61 0.386
8 12 11.57 0.4336
9 13 11.57 1.434
10 12 11.03 0.969
11 12 11.57 0.4336
12 11 11.72-0.724
13 12 11.46 0.5437
14 10 11.57-1.566
15 12 11.3 0.7013
16 12 11.57 0.4336
17 12 11.72 0.276
18 12 10.76 1.237
19 13 11.3 1.701
20 11 11.57-0.5664
21 11 11.57-0.5664
22 11 11.46-0.4563
23 11 11.83-0.8341
24 13 11.72 1.276
25 11 11.3-0.2987
26 12 11.72 0.276
27 11 11.57-0.5664
28 12 11.46 0.5437
29 12 10.76 1.237
30 10 11.57-1.566
31 11 10.76 0.2367
32 12 11.57 0.4336
33 11 11.57-0.5664
34 9 11.19-2.189
35 12 11.99 0.008248
36 11 11.72-0.724
37 11 11.72-0.724
38 12 11.3 0.7013
39 13 11.57 1.434
40 11 11.3-0.2987
41 12 11.57 0.4336
42 9 11.3-2.299
43 12 11.03 0.969
44 11 11.03-0.031
45 12 11.3 0.7013
46 12 11.57 0.4336
47 11 11.72-0.724
48 10 11.03-1.031
49 9 11.03-2.031
50 12 11.3 0.7013
51 13 11.72 1.276
52 13 11.57 1.434
53 9 11.72-2.724
54 11 11.88-0.8817
55 11 11.61-0.614
56 11 11.72-0.724
57 12 11.57 0.4336
58 12 11.3 0.7013
59 11 11.46-0.4563
60 12 11.57 0.4336
61 11 11.57-0.5664
62 12 11.03 0.969
63 11 11.03-0.031
64 11 11.46-0.4563
65 8 11.03-3.031
66 12 11.19 0.8114
67 11 11.03-0.031
68 12 11.5 0.4961
69 11 11.08-0.07856
70 11 11.3-0.2987
71 11 11.03-0.031
72 10 11.35-1.346
73 10 11.57-1.566
74 13 11.88 1.118
75 11 11.46-0.4563
76 11 11.35-0.3463
77 11 11.57-0.5664
78 13 10.92 2.079
79 12 11.83 0.1659
80 12 11.3 0.7013
81 9 11.46-2.456
82 12 11.72 0.276
83 12 11.57 0.4336
84 13 11.83 1.166
85 15 11.72 3.276
86 13 11.83 1.166
87 13 11.57 1.434
88 11 11.57-0.5664
89 12 11.72 0.276
90 9 11.72-2.724
91 11 11.46-0.4563
92 13 11.88 1.118
93 12 11.99 0.008248
94 13 11.83 1.166
95 11 11.3-0.2987
96 12 11.72 0.276
97 14 11.3 2.701
98 13 12.31 0.693
99 11 11.57-0.5664
100 12 11.57 0.4336
101 13 11.46 1.544
102 11 11.57-0.5664
103 11 11.57-0.5664
104 11 11.46-0.4563
105 13 11.83 1.166
106 12 11.03 0.969
107 12 11.3 0.7013
108 11 11.57-0.5664
109 12 11.3 0.7013
110 12 11.3 0.7013
111 10 11.46-1.456
112 11 11.03-0.031
113 9 11.61-2.614
114 14 11.72 2.276
115 12 11.3 0.7013
116 11 11.57-0.5664
117 13 12.46 0.5353
118 11 11.83-0.8341
119 11 11.57-0.5664
120 11 11.19-0.1886
121 11 11.46-0.4563
122 12 11.57 0.4336
123 11 11.57-0.5664
124 13 11.3 1.701
125 11 11.3-0.2987
126 11 11.3-0.2987
127 12 11.88 0.1183
128 11 11.72-0.724
129 11 11.57-0.5664
130 9 11.3-2.299
131 12 11.03 0.969
132 14 11.72 2.276
133 10 11.57-1.566
134 9 11.99-2.992
135 12 11.46 0.5437
136 14 11.46 2.544
137 9 11.19-2.189
138 11 11.46-0.4563
139 14 11.83 2.166
140 13 12.31 0.693
141 10 11.57-1.566
142 11 11.99-0.9918
143 12 10.76 1.237
144 10 11.3-1.299
145 13 11.72 1.276
146 12 11.72 0.276
147 14 11.5 2.496
148 10 11.57-1.566
149 12 11.03 0.969
150 9 11.03-2.031
151 12 11.46 0.5437
152 11 11.03-0.031
153 11 11.3-0.2987
154 10 11.19-1.189
155 11 11.3-0.2987
156 12 11.03 0.969
157 10 12.04-2.039
158 11 11.03-0.031
159 13 12.15 0.8506
160 11 11.03-0.031
161 13 11.46 1.544
162 12 11.57 0.4336
163 11 11.72-0.724
164 12 11.57 0.4336
165 10 11.03-1.031
166 12 11.3 0.7013
167 10 11.46-1.456
168 13 12.04 0.9607

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 &  9 &  11.03 & -2.031 \tabularnewline
2 &  11 &  11.88 & -0.8817 \tabularnewline
3 &  13 &  11.3 &  1.701 \tabularnewline
4 &  11 &  11.72 & -0.724 \tabularnewline
5 &  12 &  11.72 &  0.276 \tabularnewline
6 &  11 &  11.3 & -0.2987 \tabularnewline
7 &  12 &  11.61 &  0.386 \tabularnewline
8 &  12 &  11.57 &  0.4336 \tabularnewline
9 &  13 &  11.57 &  1.434 \tabularnewline
10 &  12 &  11.03 &  0.969 \tabularnewline
11 &  12 &  11.57 &  0.4336 \tabularnewline
12 &  11 &  11.72 & -0.724 \tabularnewline
13 &  12 &  11.46 &  0.5437 \tabularnewline
14 &  10 &  11.57 & -1.566 \tabularnewline
15 &  12 &  11.3 &  0.7013 \tabularnewline
16 &  12 &  11.57 &  0.4336 \tabularnewline
17 &  12 &  11.72 &  0.276 \tabularnewline
18 &  12 &  10.76 &  1.237 \tabularnewline
19 &  13 &  11.3 &  1.701 \tabularnewline
20 &  11 &  11.57 & -0.5664 \tabularnewline
21 &  11 &  11.57 & -0.5664 \tabularnewline
22 &  11 &  11.46 & -0.4563 \tabularnewline
23 &  11 &  11.83 & -0.8341 \tabularnewline
24 &  13 &  11.72 &  1.276 \tabularnewline
25 &  11 &  11.3 & -0.2987 \tabularnewline
26 &  12 &  11.72 &  0.276 \tabularnewline
27 &  11 &  11.57 & -0.5664 \tabularnewline
28 &  12 &  11.46 &  0.5437 \tabularnewline
29 &  12 &  10.76 &  1.237 \tabularnewline
30 &  10 &  11.57 & -1.566 \tabularnewline
31 &  11 &  10.76 &  0.2367 \tabularnewline
32 &  12 &  11.57 &  0.4336 \tabularnewline
33 &  11 &  11.57 & -0.5664 \tabularnewline
34 &  9 &  11.19 & -2.189 \tabularnewline
35 &  12 &  11.99 &  0.008248 \tabularnewline
36 &  11 &  11.72 & -0.724 \tabularnewline
37 &  11 &  11.72 & -0.724 \tabularnewline
38 &  12 &  11.3 &  0.7013 \tabularnewline
39 &  13 &  11.57 &  1.434 \tabularnewline
40 &  11 &  11.3 & -0.2987 \tabularnewline
41 &  12 &  11.57 &  0.4336 \tabularnewline
42 &  9 &  11.3 & -2.299 \tabularnewline
43 &  12 &  11.03 &  0.969 \tabularnewline
44 &  11 &  11.03 & -0.031 \tabularnewline
45 &  12 &  11.3 &  0.7013 \tabularnewline
46 &  12 &  11.57 &  0.4336 \tabularnewline
47 &  11 &  11.72 & -0.724 \tabularnewline
48 &  10 &  11.03 & -1.031 \tabularnewline
49 &  9 &  11.03 & -2.031 \tabularnewline
50 &  12 &  11.3 &  0.7013 \tabularnewline
51 &  13 &  11.72 &  1.276 \tabularnewline
52 &  13 &  11.57 &  1.434 \tabularnewline
53 &  9 &  11.72 & -2.724 \tabularnewline
54 &  11 &  11.88 & -0.8817 \tabularnewline
55 &  11 &  11.61 & -0.614 \tabularnewline
56 &  11 &  11.72 & -0.724 \tabularnewline
57 &  12 &  11.57 &  0.4336 \tabularnewline
58 &  12 &  11.3 &  0.7013 \tabularnewline
59 &  11 &  11.46 & -0.4563 \tabularnewline
60 &  12 &  11.57 &  0.4336 \tabularnewline
61 &  11 &  11.57 & -0.5664 \tabularnewline
62 &  12 &  11.03 &  0.969 \tabularnewline
63 &  11 &  11.03 & -0.031 \tabularnewline
64 &  11 &  11.46 & -0.4563 \tabularnewline
65 &  8 &  11.03 & -3.031 \tabularnewline
66 &  12 &  11.19 &  0.8114 \tabularnewline
67 &  11 &  11.03 & -0.031 \tabularnewline
68 &  12 &  11.5 &  0.4961 \tabularnewline
69 &  11 &  11.08 & -0.07856 \tabularnewline
70 &  11 &  11.3 & -0.2987 \tabularnewline
71 &  11 &  11.03 & -0.031 \tabularnewline
72 &  10 &  11.35 & -1.346 \tabularnewline
73 &  10 &  11.57 & -1.566 \tabularnewline
74 &  13 &  11.88 &  1.118 \tabularnewline
75 &  11 &  11.46 & -0.4563 \tabularnewline
76 &  11 &  11.35 & -0.3463 \tabularnewline
77 &  11 &  11.57 & -0.5664 \tabularnewline
78 &  13 &  10.92 &  2.079 \tabularnewline
79 &  12 &  11.83 &  0.1659 \tabularnewline
80 &  12 &  11.3 &  0.7013 \tabularnewline
81 &  9 &  11.46 & -2.456 \tabularnewline
82 &  12 &  11.72 &  0.276 \tabularnewline
83 &  12 &  11.57 &  0.4336 \tabularnewline
84 &  13 &  11.83 &  1.166 \tabularnewline
85 &  15 &  11.72 &  3.276 \tabularnewline
86 &  13 &  11.83 &  1.166 \tabularnewline
87 &  13 &  11.57 &  1.434 \tabularnewline
88 &  11 &  11.57 & -0.5664 \tabularnewline
89 &  12 &  11.72 &  0.276 \tabularnewline
90 &  9 &  11.72 & -2.724 \tabularnewline
91 &  11 &  11.46 & -0.4563 \tabularnewline
92 &  13 &  11.88 &  1.118 \tabularnewline
93 &  12 &  11.99 &  0.008248 \tabularnewline
94 &  13 &  11.83 &  1.166 \tabularnewline
95 &  11 &  11.3 & -0.2987 \tabularnewline
96 &  12 &  11.72 &  0.276 \tabularnewline
97 &  14 &  11.3 &  2.701 \tabularnewline
98 &  13 &  12.31 &  0.693 \tabularnewline
99 &  11 &  11.57 & -0.5664 \tabularnewline
100 &  12 &  11.57 &  0.4336 \tabularnewline
101 &  13 &  11.46 &  1.544 \tabularnewline
102 &  11 &  11.57 & -0.5664 \tabularnewline
103 &  11 &  11.57 & -0.5664 \tabularnewline
104 &  11 &  11.46 & -0.4563 \tabularnewline
105 &  13 &  11.83 &  1.166 \tabularnewline
106 &  12 &  11.03 &  0.969 \tabularnewline
107 &  12 &  11.3 &  0.7013 \tabularnewline
108 &  11 &  11.57 & -0.5664 \tabularnewline
109 &  12 &  11.3 &  0.7013 \tabularnewline
110 &  12 &  11.3 &  0.7013 \tabularnewline
111 &  10 &  11.46 & -1.456 \tabularnewline
112 &  11 &  11.03 & -0.031 \tabularnewline
113 &  9 &  11.61 & -2.614 \tabularnewline
114 &  14 &  11.72 &  2.276 \tabularnewline
115 &  12 &  11.3 &  0.7013 \tabularnewline
116 &  11 &  11.57 & -0.5664 \tabularnewline
117 &  13 &  12.46 &  0.5353 \tabularnewline
118 &  11 &  11.83 & -0.8341 \tabularnewline
119 &  11 &  11.57 & -0.5664 \tabularnewline
120 &  11 &  11.19 & -0.1886 \tabularnewline
121 &  11 &  11.46 & -0.4563 \tabularnewline
122 &  12 &  11.57 &  0.4336 \tabularnewline
123 &  11 &  11.57 & -0.5664 \tabularnewline
124 &  13 &  11.3 &  1.701 \tabularnewline
125 &  11 &  11.3 & -0.2987 \tabularnewline
126 &  11 &  11.3 & -0.2987 \tabularnewline
127 &  12 &  11.88 &  0.1183 \tabularnewline
128 &  11 &  11.72 & -0.724 \tabularnewline
129 &  11 &  11.57 & -0.5664 \tabularnewline
130 &  9 &  11.3 & -2.299 \tabularnewline
131 &  12 &  11.03 &  0.969 \tabularnewline
132 &  14 &  11.72 &  2.276 \tabularnewline
133 &  10 &  11.57 & -1.566 \tabularnewline
134 &  9 &  11.99 & -2.992 \tabularnewline
135 &  12 &  11.46 &  0.5437 \tabularnewline
136 &  14 &  11.46 &  2.544 \tabularnewline
137 &  9 &  11.19 & -2.189 \tabularnewline
138 &  11 &  11.46 & -0.4563 \tabularnewline
139 &  14 &  11.83 &  2.166 \tabularnewline
140 &  13 &  12.31 &  0.693 \tabularnewline
141 &  10 &  11.57 & -1.566 \tabularnewline
142 &  11 &  11.99 & -0.9918 \tabularnewline
143 &  12 &  10.76 &  1.237 \tabularnewline
144 &  10 &  11.3 & -1.299 \tabularnewline
145 &  13 &  11.72 &  1.276 \tabularnewline
146 &  12 &  11.72 &  0.276 \tabularnewline
147 &  14 &  11.5 &  2.496 \tabularnewline
148 &  10 &  11.57 & -1.566 \tabularnewline
149 &  12 &  11.03 &  0.969 \tabularnewline
150 &  9 &  11.03 & -2.031 \tabularnewline
151 &  12 &  11.46 &  0.5437 \tabularnewline
152 &  11 &  11.03 & -0.031 \tabularnewline
153 &  11 &  11.3 & -0.2987 \tabularnewline
154 &  10 &  11.19 & -1.189 \tabularnewline
155 &  11 &  11.3 & -0.2987 \tabularnewline
156 &  12 &  11.03 &  0.969 \tabularnewline
157 &  10 &  12.04 & -2.039 \tabularnewline
158 &  11 &  11.03 & -0.031 \tabularnewline
159 &  13 &  12.15 &  0.8506 \tabularnewline
160 &  11 &  11.03 & -0.031 \tabularnewline
161 &  13 &  11.46 &  1.544 \tabularnewline
162 &  12 &  11.57 &  0.4336 \tabularnewline
163 &  11 &  11.72 & -0.724 \tabularnewline
164 &  12 &  11.57 &  0.4336 \tabularnewline
165 &  10 &  11.03 & -1.031 \tabularnewline
166 &  12 &  11.3 &  0.7013 \tabularnewline
167 &  10 &  11.46 & -1.456 \tabularnewline
168 &  13 &  12.04 &  0.9607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=4

[TABLE]
[ROW][C]Multiple Linear Regression - Actuals, Interpolation, and Residuals[/C][/ROW]
[ROW][C]Time or Index[/C][C]Actuals[/C][C]InterpolationForecast[/C][C]ResidualsPrediction Error[/C][/ROW]
[ROW][C]1[/C][C] 9[/C][C] 11.03[/C][C]-2.031[/C][/ROW]
[ROW][C]2[/C][C] 11[/C][C] 11.88[/C][C]-0.8817[/C][/ROW]
[ROW][C]3[/C][C] 13[/C][C] 11.3[/C][C] 1.701[/C][/ROW]
[ROW][C]4[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]5[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]6[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]7[/C][C] 12[/C][C] 11.61[/C][C] 0.386[/C][/ROW]
[ROW][C]8[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]9[/C][C] 13[/C][C] 11.57[/C][C] 1.434[/C][/ROW]
[ROW][C]10[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]11[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]12[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]13[/C][C] 12[/C][C] 11.46[/C][C] 0.5437[/C][/ROW]
[ROW][C]14[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]15[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]16[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]17[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]18[/C][C] 12[/C][C] 10.76[/C][C] 1.237[/C][/ROW]
[ROW][C]19[/C][C] 13[/C][C] 11.3[/C][C] 1.701[/C][/ROW]
[ROW][C]20[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]21[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]22[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]23[/C][C] 11[/C][C] 11.83[/C][C]-0.8341[/C][/ROW]
[ROW][C]24[/C][C] 13[/C][C] 11.72[/C][C] 1.276[/C][/ROW]
[ROW][C]25[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]26[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]27[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]28[/C][C] 12[/C][C] 11.46[/C][C] 0.5437[/C][/ROW]
[ROW][C]29[/C][C] 12[/C][C] 10.76[/C][C] 1.237[/C][/ROW]
[ROW][C]30[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]31[/C][C] 11[/C][C] 10.76[/C][C] 0.2367[/C][/ROW]
[ROW][C]32[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]33[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]34[/C][C] 9[/C][C] 11.19[/C][C]-2.189[/C][/ROW]
[ROW][C]35[/C][C] 12[/C][C] 11.99[/C][C] 0.008248[/C][/ROW]
[ROW][C]36[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]37[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]38[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]39[/C][C] 13[/C][C] 11.57[/C][C] 1.434[/C][/ROW]
[ROW][C]40[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]41[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]42[/C][C] 9[/C][C] 11.3[/C][C]-2.299[/C][/ROW]
[ROW][C]43[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]44[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]45[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]46[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]47[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]48[/C][C] 10[/C][C] 11.03[/C][C]-1.031[/C][/ROW]
[ROW][C]49[/C][C] 9[/C][C] 11.03[/C][C]-2.031[/C][/ROW]
[ROW][C]50[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]51[/C][C] 13[/C][C] 11.72[/C][C] 1.276[/C][/ROW]
[ROW][C]52[/C][C] 13[/C][C] 11.57[/C][C] 1.434[/C][/ROW]
[ROW][C]53[/C][C] 9[/C][C] 11.72[/C][C]-2.724[/C][/ROW]
[ROW][C]54[/C][C] 11[/C][C] 11.88[/C][C]-0.8817[/C][/ROW]
[ROW][C]55[/C][C] 11[/C][C] 11.61[/C][C]-0.614[/C][/ROW]
[ROW][C]56[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]57[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]58[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]59[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]60[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]61[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]62[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]63[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]64[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]65[/C][C] 8[/C][C] 11.03[/C][C]-3.031[/C][/ROW]
[ROW][C]66[/C][C] 12[/C][C] 11.19[/C][C] 0.8114[/C][/ROW]
[ROW][C]67[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]68[/C][C] 12[/C][C] 11.5[/C][C] 0.4961[/C][/ROW]
[ROW][C]69[/C][C] 11[/C][C] 11.08[/C][C]-0.07856[/C][/ROW]
[ROW][C]70[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]71[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]72[/C][C] 10[/C][C] 11.35[/C][C]-1.346[/C][/ROW]
[ROW][C]73[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]74[/C][C] 13[/C][C] 11.88[/C][C] 1.118[/C][/ROW]
[ROW][C]75[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]76[/C][C] 11[/C][C] 11.35[/C][C]-0.3463[/C][/ROW]
[ROW][C]77[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]78[/C][C] 13[/C][C] 10.92[/C][C] 2.079[/C][/ROW]
[ROW][C]79[/C][C] 12[/C][C] 11.83[/C][C] 0.1659[/C][/ROW]
[ROW][C]80[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]81[/C][C] 9[/C][C] 11.46[/C][C]-2.456[/C][/ROW]
[ROW][C]82[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]83[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]84[/C][C] 13[/C][C] 11.83[/C][C] 1.166[/C][/ROW]
[ROW][C]85[/C][C] 15[/C][C] 11.72[/C][C] 3.276[/C][/ROW]
[ROW][C]86[/C][C] 13[/C][C] 11.83[/C][C] 1.166[/C][/ROW]
[ROW][C]87[/C][C] 13[/C][C] 11.57[/C][C] 1.434[/C][/ROW]
[ROW][C]88[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]89[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]90[/C][C] 9[/C][C] 11.72[/C][C]-2.724[/C][/ROW]
[ROW][C]91[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]92[/C][C] 13[/C][C] 11.88[/C][C] 1.118[/C][/ROW]
[ROW][C]93[/C][C] 12[/C][C] 11.99[/C][C] 0.008248[/C][/ROW]
[ROW][C]94[/C][C] 13[/C][C] 11.83[/C][C] 1.166[/C][/ROW]
[ROW][C]95[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]96[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]97[/C][C] 14[/C][C] 11.3[/C][C] 2.701[/C][/ROW]
[ROW][C]98[/C][C] 13[/C][C] 12.31[/C][C] 0.693[/C][/ROW]
[ROW][C]99[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]100[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]101[/C][C] 13[/C][C] 11.46[/C][C] 1.544[/C][/ROW]
[ROW][C]102[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]103[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]104[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]105[/C][C] 13[/C][C] 11.83[/C][C] 1.166[/C][/ROW]
[ROW][C]106[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]107[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]108[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]109[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]110[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]111[/C][C] 10[/C][C] 11.46[/C][C]-1.456[/C][/ROW]
[ROW][C]112[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]113[/C][C] 9[/C][C] 11.61[/C][C]-2.614[/C][/ROW]
[ROW][C]114[/C][C] 14[/C][C] 11.72[/C][C] 2.276[/C][/ROW]
[ROW][C]115[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]116[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]117[/C][C] 13[/C][C] 12.46[/C][C] 0.5353[/C][/ROW]
[ROW][C]118[/C][C] 11[/C][C] 11.83[/C][C]-0.8341[/C][/ROW]
[ROW][C]119[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]120[/C][C] 11[/C][C] 11.19[/C][C]-0.1886[/C][/ROW]
[ROW][C]121[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]122[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]123[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]124[/C][C] 13[/C][C] 11.3[/C][C] 1.701[/C][/ROW]
[ROW][C]125[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]126[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]127[/C][C] 12[/C][C] 11.88[/C][C] 0.1183[/C][/ROW]
[ROW][C]128[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]129[/C][C] 11[/C][C] 11.57[/C][C]-0.5664[/C][/ROW]
[ROW][C]130[/C][C] 9[/C][C] 11.3[/C][C]-2.299[/C][/ROW]
[ROW][C]131[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]132[/C][C] 14[/C][C] 11.72[/C][C] 2.276[/C][/ROW]
[ROW][C]133[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]134[/C][C] 9[/C][C] 11.99[/C][C]-2.992[/C][/ROW]
[ROW][C]135[/C][C] 12[/C][C] 11.46[/C][C] 0.5437[/C][/ROW]
[ROW][C]136[/C][C] 14[/C][C] 11.46[/C][C] 2.544[/C][/ROW]
[ROW][C]137[/C][C] 9[/C][C] 11.19[/C][C]-2.189[/C][/ROW]
[ROW][C]138[/C][C] 11[/C][C] 11.46[/C][C]-0.4563[/C][/ROW]
[ROW][C]139[/C][C] 14[/C][C] 11.83[/C][C] 2.166[/C][/ROW]
[ROW][C]140[/C][C] 13[/C][C] 12.31[/C][C] 0.693[/C][/ROW]
[ROW][C]141[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]142[/C][C] 11[/C][C] 11.99[/C][C]-0.9918[/C][/ROW]
[ROW][C]143[/C][C] 12[/C][C] 10.76[/C][C] 1.237[/C][/ROW]
[ROW][C]144[/C][C] 10[/C][C] 11.3[/C][C]-1.299[/C][/ROW]
[ROW][C]145[/C][C] 13[/C][C] 11.72[/C][C] 1.276[/C][/ROW]
[ROW][C]146[/C][C] 12[/C][C] 11.72[/C][C] 0.276[/C][/ROW]
[ROW][C]147[/C][C] 14[/C][C] 11.5[/C][C] 2.496[/C][/ROW]
[ROW][C]148[/C][C] 10[/C][C] 11.57[/C][C]-1.566[/C][/ROW]
[ROW][C]149[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]150[/C][C] 9[/C][C] 11.03[/C][C]-2.031[/C][/ROW]
[ROW][C]151[/C][C] 12[/C][C] 11.46[/C][C] 0.5437[/C][/ROW]
[ROW][C]152[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]153[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]154[/C][C] 10[/C][C] 11.19[/C][C]-1.189[/C][/ROW]
[ROW][C]155[/C][C] 11[/C][C] 11.3[/C][C]-0.2987[/C][/ROW]
[ROW][C]156[/C][C] 12[/C][C] 11.03[/C][C] 0.969[/C][/ROW]
[ROW][C]157[/C][C] 10[/C][C] 12.04[/C][C]-2.039[/C][/ROW]
[ROW][C]158[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]159[/C][C] 13[/C][C] 12.15[/C][C] 0.8506[/C][/ROW]
[ROW][C]160[/C][C] 11[/C][C] 11.03[/C][C]-0.031[/C][/ROW]
[ROW][C]161[/C][C] 13[/C][C] 11.46[/C][C] 1.544[/C][/ROW]
[ROW][C]162[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]163[/C][C] 11[/C][C] 11.72[/C][C]-0.724[/C][/ROW]
[ROW][C]164[/C][C] 12[/C][C] 11.57[/C][C] 0.4336[/C][/ROW]
[ROW][C]165[/C][C] 10[/C][C] 11.03[/C][C]-1.031[/C][/ROW]
[ROW][C]166[/C][C] 12[/C][C] 11.3[/C][C] 0.7013[/C][/ROW]
[ROW][C]167[/C][C] 10[/C][C] 11.46[/C][C]-1.456[/C][/ROW]
[ROW][C]168[/C][C] 13[/C][C] 12.04[/C][C] 0.9607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
1 9 11.03-2.031
2 11 11.88-0.8817
3 13 11.3 1.701
4 11 11.72-0.724
5 12 11.72 0.276
6 11 11.3-0.2987
7 12 11.61 0.386
8 12 11.57 0.4336
9 13 11.57 1.434
10 12 11.03 0.969
11 12 11.57 0.4336
12 11 11.72-0.724
13 12 11.46 0.5437
14 10 11.57-1.566
15 12 11.3 0.7013
16 12 11.57 0.4336
17 12 11.72 0.276
18 12 10.76 1.237
19 13 11.3 1.701
20 11 11.57-0.5664
21 11 11.57-0.5664
22 11 11.46-0.4563
23 11 11.83-0.8341
24 13 11.72 1.276
25 11 11.3-0.2987
26 12 11.72 0.276
27 11 11.57-0.5664
28 12 11.46 0.5437
29 12 10.76 1.237
30 10 11.57-1.566
31 11 10.76 0.2367
32 12 11.57 0.4336
33 11 11.57-0.5664
34 9 11.19-2.189
35 12 11.99 0.008248
36 11 11.72-0.724
37 11 11.72-0.724
38 12 11.3 0.7013
39 13 11.57 1.434
40 11 11.3-0.2987
41 12 11.57 0.4336
42 9 11.3-2.299
43 12 11.03 0.969
44 11 11.03-0.031
45 12 11.3 0.7013
46 12 11.57 0.4336
47 11 11.72-0.724
48 10 11.03-1.031
49 9 11.03-2.031
50 12 11.3 0.7013
51 13 11.72 1.276
52 13 11.57 1.434
53 9 11.72-2.724
54 11 11.88-0.8817
55 11 11.61-0.614
56 11 11.72-0.724
57 12 11.57 0.4336
58 12 11.3 0.7013
59 11 11.46-0.4563
60 12 11.57 0.4336
61 11 11.57-0.5664
62 12 11.03 0.969
63 11 11.03-0.031
64 11 11.46-0.4563
65 8 11.03-3.031
66 12 11.19 0.8114
67 11 11.03-0.031
68 12 11.5 0.4961
69 11 11.08-0.07856
70 11 11.3-0.2987
71 11 11.03-0.031
72 10 11.35-1.346
73 10 11.57-1.566
74 13 11.88 1.118
75 11 11.46-0.4563
76 11 11.35-0.3463
77 11 11.57-0.5664
78 13 10.92 2.079
79 12 11.83 0.1659
80 12 11.3 0.7013
81 9 11.46-2.456
82 12 11.72 0.276
83 12 11.57 0.4336
84 13 11.83 1.166
85 15 11.72 3.276
86 13 11.83 1.166
87 13 11.57 1.434
88 11 11.57-0.5664
89 12 11.72 0.276
90 9 11.72-2.724
91 11 11.46-0.4563
92 13 11.88 1.118
93 12 11.99 0.008248
94 13 11.83 1.166
95 11 11.3-0.2987
96 12 11.72 0.276
97 14 11.3 2.701
98 13 12.31 0.693
99 11 11.57-0.5664
100 12 11.57 0.4336
101 13 11.46 1.544
102 11 11.57-0.5664
103 11 11.57-0.5664
104 11 11.46-0.4563
105 13 11.83 1.166
106 12 11.03 0.969
107 12 11.3 0.7013
108 11 11.57-0.5664
109 12 11.3 0.7013
110 12 11.3 0.7013
111 10 11.46-1.456
112 11 11.03-0.031
113 9 11.61-2.614
114 14 11.72 2.276
115 12 11.3 0.7013
116 11 11.57-0.5664
117 13 12.46 0.5353
118 11 11.83-0.8341
119 11 11.57-0.5664
120 11 11.19-0.1886
121 11 11.46-0.4563
122 12 11.57 0.4336
123 11 11.57-0.5664
124 13 11.3 1.701
125 11 11.3-0.2987
126 11 11.3-0.2987
127 12 11.88 0.1183
128 11 11.72-0.724
129 11 11.57-0.5664
130 9 11.3-2.299
131 12 11.03 0.969
132 14 11.72 2.276
133 10 11.57-1.566
134 9 11.99-2.992
135 12 11.46 0.5437
136 14 11.46 2.544
137 9 11.19-2.189
138 11 11.46-0.4563
139 14 11.83 2.166
140 13 12.31 0.693
141 10 11.57-1.566
142 11 11.99-0.9918
143 12 10.76 1.237
144 10 11.3-1.299
145 13 11.72 1.276
146 12 11.72 0.276
147 14 11.5 2.496
148 10 11.57-1.566
149 12 11.03 0.969
150 9 11.03-2.031
151 12 11.46 0.5437
152 11 11.03-0.031
153 11 11.3-0.2987
154 10 11.19-1.189
155 11 11.3-0.2987
156 12 11.03 0.969
157 10 12.04-2.039
158 11 11.03-0.031
159 13 12.15 0.8506
160 11 11.03-0.031
161 13 11.46 1.544
162 12 11.57 0.4336
163 11 11.72-0.724
164 12 11.57 0.4336
165 10 11.03-1.031
166 12 11.3 0.7013
167 10 11.46-1.456
168 13 12.04 0.9607







Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
6 0.5776 0.8448 0.4224
7 0.7448 0.5104 0.2552
8 0.6217 0.7566 0.3783
9 0.5611 0.8779 0.4389
10 0.577 0.846 0.423
11 0.4708 0.9416 0.5292
12 0.4173 0.8345 0.5827
13 0.3574 0.7149 0.6426
14 0.4943 0.9886 0.5057
15 0.4251 0.8501 0.5749
16 0.3458 0.6917 0.6542
17 0.2765 0.553 0.7235
18 0.2477 0.4954 0.7523
19 0.2755 0.5509 0.7245
20 0.2412 0.4825 0.7588
21 0.2054 0.4108 0.7946
22 0.1672 0.3345 0.8328
23 0.1385 0.2769 0.8615
24 0.1638 0.3277 0.8362
25 0.1342 0.2683 0.8658
26 0.1036 0.2072 0.8964
27 0.08331 0.1666 0.9167
28 0.06304 0.1261 0.937
29 0.04937 0.09873 0.9506
30 0.06657 0.1331 0.9334
31 0.05368 0.1074 0.9463
32 0.04177 0.08355 0.9582
33 0.03188 0.06376 0.9681
34 0.1077 0.2154 0.8923
35 0.08476 0.1695 0.9152
36 0.06941 0.1388 0.9306
37 0.05611 0.1122 0.9439
38 0.04535 0.0907 0.9546
39 0.05484 0.1097 0.9452
40 0.04315 0.0863 0.9568
41 0.03315 0.06629 0.9669
42 0.09094 0.1819 0.9091
43 0.07987 0.1597 0.9201
44 0.06278 0.1256 0.9372
45 0.05191 0.1038 0.9481
46 0.04095 0.08191 0.959
47 0.03311 0.06622 0.9669
48 0.035 0.07 0.965
49 0.06885 0.1377 0.9311
50 0.05846 0.1169 0.9415
51 0.06605 0.1321 0.934
52 0.07403 0.1481 0.926
53 0.172 0.344 0.828
54 0.1495 0.2991 0.8505
55 0.1254 0.2509 0.8746
56 0.1074 0.2147 0.8926
57 0.08878 0.1776 0.9112
58 0.07603 0.1521 0.924
59 0.06136 0.1227 0.9386
60 0.0494 0.09879 0.9506
61 0.04142 0.08285 0.9586
62 0.0373 0.0746 0.9627
63 0.0288 0.0576 0.9712
64 0.02234 0.04468 0.9777
65 0.09857 0.1971 0.9014
66 0.09318 0.1864 0.9068
67 0.07535 0.1507 0.9246
68 0.06998 0.14 0.93
69 0.05601 0.112 0.944
70 0.04493 0.08987 0.9551
71 0.0351 0.07021 0.9649
72 0.03565 0.07131 0.9643
73 0.04316 0.08631 0.9568
74 0.04624 0.09249 0.9538
75 0.03735 0.0747 0.9627
76 0.02957 0.05913 0.9704
77 0.02407 0.04815 0.9759
78 0.04118 0.08235 0.9588
79 0.03261 0.06521 0.9674
80 0.02761 0.05521 0.9724
81 0.05924 0.1185 0.9408
82 0.04841 0.09681 0.9516
83 0.03956 0.07912 0.9604
84 0.03998 0.07996 0.96
85 0.1603 0.3206 0.8397
86 0.1595 0.319 0.8405
87 0.1716 0.3433 0.8284
88 0.1505 0.301 0.8495
89 0.1274 0.2548 0.8726
90 0.2456 0.4913 0.7544
91 0.2166 0.4333 0.7834
92 0.2152 0.4304 0.7848
93 0.184 0.3679 0.816
94 0.1842 0.3683 0.8158
95 0.1576 0.3151 0.8424
96 0.1335 0.267 0.8665
97 0.2553 0.5106 0.7447
98 0.2336 0.4672 0.7664
99 0.2068 0.4137 0.7932
100 0.181 0.362 0.819
101 0.2001 0.4001 0.7999
102 0.1753 0.3507 0.8247
103 0.1526 0.3051 0.8474
104 0.1307 0.2613 0.8693
105 0.1337 0.2675 0.8663
106 0.1246 0.2491 0.8754
107 0.1106 0.2212 0.8894
108 0.09361 0.1872 0.9064
109 0.08238 0.1648 0.9176
110 0.07237 0.1447 0.9276
111 0.07905 0.1581 0.9209
112 0.06326 0.1265 0.9367
113 0.1439 0.2878 0.8561
114 0.2295 0.4589 0.7705
115 0.21 0.42 0.79
116 0.1815 0.3629 0.8185
117 0.157 0.3141 0.843
118 0.1369 0.2738 0.8631
119 0.115 0.2299 0.885
120 0.09454 0.1891 0.9055
121 0.07842 0.1568 0.9216
122 0.06663 0.1333 0.9334
123 0.05357 0.1071 0.9464
124 0.07208 0.1442 0.9279
125 0.0568 0.1136 0.9432
126 0.04413 0.08826 0.9559
127 0.03363 0.06727 0.9664
128 0.02719 0.05438 0.9728
129 0.02069 0.04138 0.9793
130 0.03715 0.07431 0.9628
131 0.03319 0.06638 0.9668
132 0.06615 0.1323 0.9339
133 0.06764 0.1353 0.9324
134 0.1871 0.3742 0.8129
135 0.157 0.3141 0.843
136 0.2872 0.5744 0.7128
137 0.4135 0.827 0.5865
138 0.3675 0.735 0.6325
139 0.5929 0.8141 0.4071
140 0.5434 0.9132 0.4566
141 0.5391 0.9217 0.4609
142 0.4983 0.9965 0.5017
143 0.4956 0.9912 0.5044
144 0.4886 0.9772 0.5114
145 0.5008 0.9984 0.4992
146 0.4386 0.8772 0.5614
147 0.6452 0.7096 0.3548
148 0.742 0.516 0.258
149 0.7559 0.4881 0.2441
150 0.8423 0.3154 0.1577
151 0.8102 0.3797 0.1898
152 0.7481 0.5038 0.2519
153 0.6842 0.6315 0.3158
154 0.6365 0.7271 0.3635
155 0.562 0.8761 0.438
156 0.5503 0.8995 0.4497
157 0.7705 0.4589 0.2295
158 0.6798 0.6403 0.3202
159 0.5654 0.8692 0.4346
160 0.4491 0.8982 0.5509
161 0.6169 0.7662 0.3831
162 0.4512 0.9024 0.5488

\begin{tabular}{lllllllll}
\hline
Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
p-values & Alternative Hypothesis \tabularnewline
breakpoint index & greater & 2-sided & less \tabularnewline
6 &  0.5776 &  0.8448 &  0.4224 \tabularnewline
7 &  0.7448 &  0.5104 &  0.2552 \tabularnewline
8 &  0.6217 &  0.7566 &  0.3783 \tabularnewline
9 &  0.5611 &  0.8779 &  0.4389 \tabularnewline
10 &  0.577 &  0.846 &  0.423 \tabularnewline
11 &  0.4708 &  0.9416 &  0.5292 \tabularnewline
12 &  0.4173 &  0.8345 &  0.5827 \tabularnewline
13 &  0.3574 &  0.7149 &  0.6426 \tabularnewline
14 &  0.4943 &  0.9886 &  0.5057 \tabularnewline
15 &  0.4251 &  0.8501 &  0.5749 \tabularnewline
16 &  0.3458 &  0.6917 &  0.6542 \tabularnewline
17 &  0.2765 &  0.553 &  0.7235 \tabularnewline
18 &  0.2477 &  0.4954 &  0.7523 \tabularnewline
19 &  0.2755 &  0.5509 &  0.7245 \tabularnewline
20 &  0.2412 &  0.4825 &  0.7588 \tabularnewline
21 &  0.2054 &  0.4108 &  0.7946 \tabularnewline
22 &  0.1672 &  0.3345 &  0.8328 \tabularnewline
23 &  0.1385 &  0.2769 &  0.8615 \tabularnewline
24 &  0.1638 &  0.3277 &  0.8362 \tabularnewline
25 &  0.1342 &  0.2683 &  0.8658 \tabularnewline
26 &  0.1036 &  0.2072 &  0.8964 \tabularnewline
27 &  0.08331 &  0.1666 &  0.9167 \tabularnewline
28 &  0.06304 &  0.1261 &  0.937 \tabularnewline
29 &  0.04937 &  0.09873 &  0.9506 \tabularnewline
30 &  0.06657 &  0.1331 &  0.9334 \tabularnewline
31 &  0.05368 &  0.1074 &  0.9463 \tabularnewline
32 &  0.04177 &  0.08355 &  0.9582 \tabularnewline
33 &  0.03188 &  0.06376 &  0.9681 \tabularnewline
34 &  0.1077 &  0.2154 &  0.8923 \tabularnewline
35 &  0.08476 &  0.1695 &  0.9152 \tabularnewline
36 &  0.06941 &  0.1388 &  0.9306 \tabularnewline
37 &  0.05611 &  0.1122 &  0.9439 \tabularnewline
38 &  0.04535 &  0.0907 &  0.9546 \tabularnewline
39 &  0.05484 &  0.1097 &  0.9452 \tabularnewline
40 &  0.04315 &  0.0863 &  0.9568 \tabularnewline
41 &  0.03315 &  0.06629 &  0.9669 \tabularnewline
42 &  0.09094 &  0.1819 &  0.9091 \tabularnewline
43 &  0.07987 &  0.1597 &  0.9201 \tabularnewline
44 &  0.06278 &  0.1256 &  0.9372 \tabularnewline
45 &  0.05191 &  0.1038 &  0.9481 \tabularnewline
46 &  0.04095 &  0.08191 &  0.959 \tabularnewline
47 &  0.03311 &  0.06622 &  0.9669 \tabularnewline
48 &  0.035 &  0.07 &  0.965 \tabularnewline
49 &  0.06885 &  0.1377 &  0.9311 \tabularnewline
50 &  0.05846 &  0.1169 &  0.9415 \tabularnewline
51 &  0.06605 &  0.1321 &  0.934 \tabularnewline
52 &  0.07403 &  0.1481 &  0.926 \tabularnewline
53 &  0.172 &  0.344 &  0.828 \tabularnewline
54 &  0.1495 &  0.2991 &  0.8505 \tabularnewline
55 &  0.1254 &  0.2509 &  0.8746 \tabularnewline
56 &  0.1074 &  0.2147 &  0.8926 \tabularnewline
57 &  0.08878 &  0.1776 &  0.9112 \tabularnewline
58 &  0.07603 &  0.1521 &  0.924 \tabularnewline
59 &  0.06136 &  0.1227 &  0.9386 \tabularnewline
60 &  0.0494 &  0.09879 &  0.9506 \tabularnewline
61 &  0.04142 &  0.08285 &  0.9586 \tabularnewline
62 &  0.0373 &  0.0746 &  0.9627 \tabularnewline
63 &  0.0288 &  0.0576 &  0.9712 \tabularnewline
64 &  0.02234 &  0.04468 &  0.9777 \tabularnewline
65 &  0.09857 &  0.1971 &  0.9014 \tabularnewline
66 &  0.09318 &  0.1864 &  0.9068 \tabularnewline
67 &  0.07535 &  0.1507 &  0.9246 \tabularnewline
68 &  0.06998 &  0.14 &  0.93 \tabularnewline
69 &  0.05601 &  0.112 &  0.944 \tabularnewline
70 &  0.04493 &  0.08987 &  0.9551 \tabularnewline
71 &  0.0351 &  0.07021 &  0.9649 \tabularnewline
72 &  0.03565 &  0.07131 &  0.9643 \tabularnewline
73 &  0.04316 &  0.08631 &  0.9568 \tabularnewline
74 &  0.04624 &  0.09249 &  0.9538 \tabularnewline
75 &  0.03735 &  0.0747 &  0.9627 \tabularnewline
76 &  0.02957 &  0.05913 &  0.9704 \tabularnewline
77 &  0.02407 &  0.04815 &  0.9759 \tabularnewline
78 &  0.04118 &  0.08235 &  0.9588 \tabularnewline
79 &  0.03261 &  0.06521 &  0.9674 \tabularnewline
80 &  0.02761 &  0.05521 &  0.9724 \tabularnewline
81 &  0.05924 &  0.1185 &  0.9408 \tabularnewline
82 &  0.04841 &  0.09681 &  0.9516 \tabularnewline
83 &  0.03956 &  0.07912 &  0.9604 \tabularnewline
84 &  0.03998 &  0.07996 &  0.96 \tabularnewline
85 &  0.1603 &  0.3206 &  0.8397 \tabularnewline
86 &  0.1595 &  0.319 &  0.8405 \tabularnewline
87 &  0.1716 &  0.3433 &  0.8284 \tabularnewline
88 &  0.1505 &  0.301 &  0.8495 \tabularnewline
89 &  0.1274 &  0.2548 &  0.8726 \tabularnewline
90 &  0.2456 &  0.4913 &  0.7544 \tabularnewline
91 &  0.2166 &  0.4333 &  0.7834 \tabularnewline
92 &  0.2152 &  0.4304 &  0.7848 \tabularnewline
93 &  0.184 &  0.3679 &  0.816 \tabularnewline
94 &  0.1842 &  0.3683 &  0.8158 \tabularnewline
95 &  0.1576 &  0.3151 &  0.8424 \tabularnewline
96 &  0.1335 &  0.267 &  0.8665 \tabularnewline
97 &  0.2553 &  0.5106 &  0.7447 \tabularnewline
98 &  0.2336 &  0.4672 &  0.7664 \tabularnewline
99 &  0.2068 &  0.4137 &  0.7932 \tabularnewline
100 &  0.181 &  0.362 &  0.819 \tabularnewline
101 &  0.2001 &  0.4001 &  0.7999 \tabularnewline
102 &  0.1753 &  0.3507 &  0.8247 \tabularnewline
103 &  0.1526 &  0.3051 &  0.8474 \tabularnewline
104 &  0.1307 &  0.2613 &  0.8693 \tabularnewline
105 &  0.1337 &  0.2675 &  0.8663 \tabularnewline
106 &  0.1246 &  0.2491 &  0.8754 \tabularnewline
107 &  0.1106 &  0.2212 &  0.8894 \tabularnewline
108 &  0.09361 &  0.1872 &  0.9064 \tabularnewline
109 &  0.08238 &  0.1648 &  0.9176 \tabularnewline
110 &  0.07237 &  0.1447 &  0.9276 \tabularnewline
111 &  0.07905 &  0.1581 &  0.9209 \tabularnewline
112 &  0.06326 &  0.1265 &  0.9367 \tabularnewline
113 &  0.1439 &  0.2878 &  0.8561 \tabularnewline
114 &  0.2295 &  0.4589 &  0.7705 \tabularnewline
115 &  0.21 &  0.42 &  0.79 \tabularnewline
116 &  0.1815 &  0.3629 &  0.8185 \tabularnewline
117 &  0.157 &  0.3141 &  0.843 \tabularnewline
118 &  0.1369 &  0.2738 &  0.8631 \tabularnewline
119 &  0.115 &  0.2299 &  0.885 \tabularnewline
120 &  0.09454 &  0.1891 &  0.9055 \tabularnewline
121 &  0.07842 &  0.1568 &  0.9216 \tabularnewline
122 &  0.06663 &  0.1333 &  0.9334 \tabularnewline
123 &  0.05357 &  0.1071 &  0.9464 \tabularnewline
124 &  0.07208 &  0.1442 &  0.9279 \tabularnewline
125 &  0.0568 &  0.1136 &  0.9432 \tabularnewline
126 &  0.04413 &  0.08826 &  0.9559 \tabularnewline
127 &  0.03363 &  0.06727 &  0.9664 \tabularnewline
128 &  0.02719 &  0.05438 &  0.9728 \tabularnewline
129 &  0.02069 &  0.04138 &  0.9793 \tabularnewline
130 &  0.03715 &  0.07431 &  0.9628 \tabularnewline
131 &  0.03319 &  0.06638 &  0.9668 \tabularnewline
132 &  0.06615 &  0.1323 &  0.9339 \tabularnewline
133 &  0.06764 &  0.1353 &  0.9324 \tabularnewline
134 &  0.1871 &  0.3742 &  0.8129 \tabularnewline
135 &  0.157 &  0.3141 &  0.843 \tabularnewline
136 &  0.2872 &  0.5744 &  0.7128 \tabularnewline
137 &  0.4135 &  0.827 &  0.5865 \tabularnewline
138 &  0.3675 &  0.735 &  0.6325 \tabularnewline
139 &  0.5929 &  0.8141 &  0.4071 \tabularnewline
140 &  0.5434 &  0.9132 &  0.4566 \tabularnewline
141 &  0.5391 &  0.9217 &  0.4609 \tabularnewline
142 &  0.4983 &  0.9965 &  0.5017 \tabularnewline
143 &  0.4956 &  0.9912 &  0.5044 \tabularnewline
144 &  0.4886 &  0.9772 &  0.5114 \tabularnewline
145 &  0.5008 &  0.9984 &  0.4992 \tabularnewline
146 &  0.4386 &  0.8772 &  0.5614 \tabularnewline
147 &  0.6452 &  0.7096 &  0.3548 \tabularnewline
148 &  0.742 &  0.516 &  0.258 \tabularnewline
149 &  0.7559 &  0.4881 &  0.2441 \tabularnewline
150 &  0.8423 &  0.3154 &  0.1577 \tabularnewline
151 &  0.8102 &  0.3797 &  0.1898 \tabularnewline
152 &  0.7481 &  0.5038 &  0.2519 \tabularnewline
153 &  0.6842 &  0.6315 &  0.3158 \tabularnewline
154 &  0.6365 &  0.7271 &  0.3635 \tabularnewline
155 &  0.562 &  0.8761 &  0.438 \tabularnewline
156 &  0.5503 &  0.8995 &  0.4497 \tabularnewline
157 &  0.7705 &  0.4589 &  0.2295 \tabularnewline
158 &  0.6798 &  0.6403 &  0.3202 \tabularnewline
159 &  0.5654 &  0.8692 &  0.4346 \tabularnewline
160 &  0.4491 &  0.8982 &  0.5509 \tabularnewline
161 &  0.6169 &  0.7662 &  0.3831 \tabularnewline
162 &  0.4512 &  0.9024 &  0.5488 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=5

[TABLE]
[ROW][C]Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]p-values[/C][C]Alternative Hypothesis[/C][/ROW]
[ROW][C]breakpoint index[/C][C]greater[/C][C]2-sided[/C][C]less[/C][/ROW]
[ROW][C]6[/C][C] 0.5776[/C][C] 0.8448[/C][C] 0.4224[/C][/ROW]
[ROW][C]7[/C][C] 0.7448[/C][C] 0.5104[/C][C] 0.2552[/C][/ROW]
[ROW][C]8[/C][C] 0.6217[/C][C] 0.7566[/C][C] 0.3783[/C][/ROW]
[ROW][C]9[/C][C] 0.5611[/C][C] 0.8779[/C][C] 0.4389[/C][/ROW]
[ROW][C]10[/C][C] 0.577[/C][C] 0.846[/C][C] 0.423[/C][/ROW]
[ROW][C]11[/C][C] 0.4708[/C][C] 0.9416[/C][C] 0.5292[/C][/ROW]
[ROW][C]12[/C][C] 0.4173[/C][C] 0.8345[/C][C] 0.5827[/C][/ROW]
[ROW][C]13[/C][C] 0.3574[/C][C] 0.7149[/C][C] 0.6426[/C][/ROW]
[ROW][C]14[/C][C] 0.4943[/C][C] 0.9886[/C][C] 0.5057[/C][/ROW]
[ROW][C]15[/C][C] 0.4251[/C][C] 0.8501[/C][C] 0.5749[/C][/ROW]
[ROW][C]16[/C][C] 0.3458[/C][C] 0.6917[/C][C] 0.6542[/C][/ROW]
[ROW][C]17[/C][C] 0.2765[/C][C] 0.553[/C][C] 0.7235[/C][/ROW]
[ROW][C]18[/C][C] 0.2477[/C][C] 0.4954[/C][C] 0.7523[/C][/ROW]
[ROW][C]19[/C][C] 0.2755[/C][C] 0.5509[/C][C] 0.7245[/C][/ROW]
[ROW][C]20[/C][C] 0.2412[/C][C] 0.4825[/C][C] 0.7588[/C][/ROW]
[ROW][C]21[/C][C] 0.2054[/C][C] 0.4108[/C][C] 0.7946[/C][/ROW]
[ROW][C]22[/C][C] 0.1672[/C][C] 0.3345[/C][C] 0.8328[/C][/ROW]
[ROW][C]23[/C][C] 0.1385[/C][C] 0.2769[/C][C] 0.8615[/C][/ROW]
[ROW][C]24[/C][C] 0.1638[/C][C] 0.3277[/C][C] 0.8362[/C][/ROW]
[ROW][C]25[/C][C] 0.1342[/C][C] 0.2683[/C][C] 0.8658[/C][/ROW]
[ROW][C]26[/C][C] 0.1036[/C][C] 0.2072[/C][C] 0.8964[/C][/ROW]
[ROW][C]27[/C][C] 0.08331[/C][C] 0.1666[/C][C] 0.9167[/C][/ROW]
[ROW][C]28[/C][C] 0.06304[/C][C] 0.1261[/C][C] 0.937[/C][/ROW]
[ROW][C]29[/C][C] 0.04937[/C][C] 0.09873[/C][C] 0.9506[/C][/ROW]
[ROW][C]30[/C][C] 0.06657[/C][C] 0.1331[/C][C] 0.9334[/C][/ROW]
[ROW][C]31[/C][C] 0.05368[/C][C] 0.1074[/C][C] 0.9463[/C][/ROW]
[ROW][C]32[/C][C] 0.04177[/C][C] 0.08355[/C][C] 0.9582[/C][/ROW]
[ROW][C]33[/C][C] 0.03188[/C][C] 0.06376[/C][C] 0.9681[/C][/ROW]
[ROW][C]34[/C][C] 0.1077[/C][C] 0.2154[/C][C] 0.8923[/C][/ROW]
[ROW][C]35[/C][C] 0.08476[/C][C] 0.1695[/C][C] 0.9152[/C][/ROW]
[ROW][C]36[/C][C] 0.06941[/C][C] 0.1388[/C][C] 0.9306[/C][/ROW]
[ROW][C]37[/C][C] 0.05611[/C][C] 0.1122[/C][C] 0.9439[/C][/ROW]
[ROW][C]38[/C][C] 0.04535[/C][C] 0.0907[/C][C] 0.9546[/C][/ROW]
[ROW][C]39[/C][C] 0.05484[/C][C] 0.1097[/C][C] 0.9452[/C][/ROW]
[ROW][C]40[/C][C] 0.04315[/C][C] 0.0863[/C][C] 0.9568[/C][/ROW]
[ROW][C]41[/C][C] 0.03315[/C][C] 0.06629[/C][C] 0.9669[/C][/ROW]
[ROW][C]42[/C][C] 0.09094[/C][C] 0.1819[/C][C] 0.9091[/C][/ROW]
[ROW][C]43[/C][C] 0.07987[/C][C] 0.1597[/C][C] 0.9201[/C][/ROW]
[ROW][C]44[/C][C] 0.06278[/C][C] 0.1256[/C][C] 0.9372[/C][/ROW]
[ROW][C]45[/C][C] 0.05191[/C][C] 0.1038[/C][C] 0.9481[/C][/ROW]
[ROW][C]46[/C][C] 0.04095[/C][C] 0.08191[/C][C] 0.959[/C][/ROW]
[ROW][C]47[/C][C] 0.03311[/C][C] 0.06622[/C][C] 0.9669[/C][/ROW]
[ROW][C]48[/C][C] 0.035[/C][C] 0.07[/C][C] 0.965[/C][/ROW]
[ROW][C]49[/C][C] 0.06885[/C][C] 0.1377[/C][C] 0.9311[/C][/ROW]
[ROW][C]50[/C][C] 0.05846[/C][C] 0.1169[/C][C] 0.9415[/C][/ROW]
[ROW][C]51[/C][C] 0.06605[/C][C] 0.1321[/C][C] 0.934[/C][/ROW]
[ROW][C]52[/C][C] 0.07403[/C][C] 0.1481[/C][C] 0.926[/C][/ROW]
[ROW][C]53[/C][C] 0.172[/C][C] 0.344[/C][C] 0.828[/C][/ROW]
[ROW][C]54[/C][C] 0.1495[/C][C] 0.2991[/C][C] 0.8505[/C][/ROW]
[ROW][C]55[/C][C] 0.1254[/C][C] 0.2509[/C][C] 0.8746[/C][/ROW]
[ROW][C]56[/C][C] 0.1074[/C][C] 0.2147[/C][C] 0.8926[/C][/ROW]
[ROW][C]57[/C][C] 0.08878[/C][C] 0.1776[/C][C] 0.9112[/C][/ROW]
[ROW][C]58[/C][C] 0.07603[/C][C] 0.1521[/C][C] 0.924[/C][/ROW]
[ROW][C]59[/C][C] 0.06136[/C][C] 0.1227[/C][C] 0.9386[/C][/ROW]
[ROW][C]60[/C][C] 0.0494[/C][C] 0.09879[/C][C] 0.9506[/C][/ROW]
[ROW][C]61[/C][C] 0.04142[/C][C] 0.08285[/C][C] 0.9586[/C][/ROW]
[ROW][C]62[/C][C] 0.0373[/C][C] 0.0746[/C][C] 0.9627[/C][/ROW]
[ROW][C]63[/C][C] 0.0288[/C][C] 0.0576[/C][C] 0.9712[/C][/ROW]
[ROW][C]64[/C][C] 0.02234[/C][C] 0.04468[/C][C] 0.9777[/C][/ROW]
[ROW][C]65[/C][C] 0.09857[/C][C] 0.1971[/C][C] 0.9014[/C][/ROW]
[ROW][C]66[/C][C] 0.09318[/C][C] 0.1864[/C][C] 0.9068[/C][/ROW]
[ROW][C]67[/C][C] 0.07535[/C][C] 0.1507[/C][C] 0.9246[/C][/ROW]
[ROW][C]68[/C][C] 0.06998[/C][C] 0.14[/C][C] 0.93[/C][/ROW]
[ROW][C]69[/C][C] 0.05601[/C][C] 0.112[/C][C] 0.944[/C][/ROW]
[ROW][C]70[/C][C] 0.04493[/C][C] 0.08987[/C][C] 0.9551[/C][/ROW]
[ROW][C]71[/C][C] 0.0351[/C][C] 0.07021[/C][C] 0.9649[/C][/ROW]
[ROW][C]72[/C][C] 0.03565[/C][C] 0.07131[/C][C] 0.9643[/C][/ROW]
[ROW][C]73[/C][C] 0.04316[/C][C] 0.08631[/C][C] 0.9568[/C][/ROW]
[ROW][C]74[/C][C] 0.04624[/C][C] 0.09249[/C][C] 0.9538[/C][/ROW]
[ROW][C]75[/C][C] 0.03735[/C][C] 0.0747[/C][C] 0.9627[/C][/ROW]
[ROW][C]76[/C][C] 0.02957[/C][C] 0.05913[/C][C] 0.9704[/C][/ROW]
[ROW][C]77[/C][C] 0.02407[/C][C] 0.04815[/C][C] 0.9759[/C][/ROW]
[ROW][C]78[/C][C] 0.04118[/C][C] 0.08235[/C][C] 0.9588[/C][/ROW]
[ROW][C]79[/C][C] 0.03261[/C][C] 0.06521[/C][C] 0.9674[/C][/ROW]
[ROW][C]80[/C][C] 0.02761[/C][C] 0.05521[/C][C] 0.9724[/C][/ROW]
[ROW][C]81[/C][C] 0.05924[/C][C] 0.1185[/C][C] 0.9408[/C][/ROW]
[ROW][C]82[/C][C] 0.04841[/C][C] 0.09681[/C][C] 0.9516[/C][/ROW]
[ROW][C]83[/C][C] 0.03956[/C][C] 0.07912[/C][C] 0.9604[/C][/ROW]
[ROW][C]84[/C][C] 0.03998[/C][C] 0.07996[/C][C] 0.96[/C][/ROW]
[ROW][C]85[/C][C] 0.1603[/C][C] 0.3206[/C][C] 0.8397[/C][/ROW]
[ROW][C]86[/C][C] 0.1595[/C][C] 0.319[/C][C] 0.8405[/C][/ROW]
[ROW][C]87[/C][C] 0.1716[/C][C] 0.3433[/C][C] 0.8284[/C][/ROW]
[ROW][C]88[/C][C] 0.1505[/C][C] 0.301[/C][C] 0.8495[/C][/ROW]
[ROW][C]89[/C][C] 0.1274[/C][C] 0.2548[/C][C] 0.8726[/C][/ROW]
[ROW][C]90[/C][C] 0.2456[/C][C] 0.4913[/C][C] 0.7544[/C][/ROW]
[ROW][C]91[/C][C] 0.2166[/C][C] 0.4333[/C][C] 0.7834[/C][/ROW]
[ROW][C]92[/C][C] 0.2152[/C][C] 0.4304[/C][C] 0.7848[/C][/ROW]
[ROW][C]93[/C][C] 0.184[/C][C] 0.3679[/C][C] 0.816[/C][/ROW]
[ROW][C]94[/C][C] 0.1842[/C][C] 0.3683[/C][C] 0.8158[/C][/ROW]
[ROW][C]95[/C][C] 0.1576[/C][C] 0.3151[/C][C] 0.8424[/C][/ROW]
[ROW][C]96[/C][C] 0.1335[/C][C] 0.267[/C][C] 0.8665[/C][/ROW]
[ROW][C]97[/C][C] 0.2553[/C][C] 0.5106[/C][C] 0.7447[/C][/ROW]
[ROW][C]98[/C][C] 0.2336[/C][C] 0.4672[/C][C] 0.7664[/C][/ROW]
[ROW][C]99[/C][C] 0.2068[/C][C] 0.4137[/C][C] 0.7932[/C][/ROW]
[ROW][C]100[/C][C] 0.181[/C][C] 0.362[/C][C] 0.819[/C][/ROW]
[ROW][C]101[/C][C] 0.2001[/C][C] 0.4001[/C][C] 0.7999[/C][/ROW]
[ROW][C]102[/C][C] 0.1753[/C][C] 0.3507[/C][C] 0.8247[/C][/ROW]
[ROW][C]103[/C][C] 0.1526[/C][C] 0.3051[/C][C] 0.8474[/C][/ROW]
[ROW][C]104[/C][C] 0.1307[/C][C] 0.2613[/C][C] 0.8693[/C][/ROW]
[ROW][C]105[/C][C] 0.1337[/C][C] 0.2675[/C][C] 0.8663[/C][/ROW]
[ROW][C]106[/C][C] 0.1246[/C][C] 0.2491[/C][C] 0.8754[/C][/ROW]
[ROW][C]107[/C][C] 0.1106[/C][C] 0.2212[/C][C] 0.8894[/C][/ROW]
[ROW][C]108[/C][C] 0.09361[/C][C] 0.1872[/C][C] 0.9064[/C][/ROW]
[ROW][C]109[/C][C] 0.08238[/C][C] 0.1648[/C][C] 0.9176[/C][/ROW]
[ROW][C]110[/C][C] 0.07237[/C][C] 0.1447[/C][C] 0.9276[/C][/ROW]
[ROW][C]111[/C][C] 0.07905[/C][C] 0.1581[/C][C] 0.9209[/C][/ROW]
[ROW][C]112[/C][C] 0.06326[/C][C] 0.1265[/C][C] 0.9367[/C][/ROW]
[ROW][C]113[/C][C] 0.1439[/C][C] 0.2878[/C][C] 0.8561[/C][/ROW]
[ROW][C]114[/C][C] 0.2295[/C][C] 0.4589[/C][C] 0.7705[/C][/ROW]
[ROW][C]115[/C][C] 0.21[/C][C] 0.42[/C][C] 0.79[/C][/ROW]
[ROW][C]116[/C][C] 0.1815[/C][C] 0.3629[/C][C] 0.8185[/C][/ROW]
[ROW][C]117[/C][C] 0.157[/C][C] 0.3141[/C][C] 0.843[/C][/ROW]
[ROW][C]118[/C][C] 0.1369[/C][C] 0.2738[/C][C] 0.8631[/C][/ROW]
[ROW][C]119[/C][C] 0.115[/C][C] 0.2299[/C][C] 0.885[/C][/ROW]
[ROW][C]120[/C][C] 0.09454[/C][C] 0.1891[/C][C] 0.9055[/C][/ROW]
[ROW][C]121[/C][C] 0.07842[/C][C] 0.1568[/C][C] 0.9216[/C][/ROW]
[ROW][C]122[/C][C] 0.06663[/C][C] 0.1333[/C][C] 0.9334[/C][/ROW]
[ROW][C]123[/C][C] 0.05357[/C][C] 0.1071[/C][C] 0.9464[/C][/ROW]
[ROW][C]124[/C][C] 0.07208[/C][C] 0.1442[/C][C] 0.9279[/C][/ROW]
[ROW][C]125[/C][C] 0.0568[/C][C] 0.1136[/C][C] 0.9432[/C][/ROW]
[ROW][C]126[/C][C] 0.04413[/C][C] 0.08826[/C][C] 0.9559[/C][/ROW]
[ROW][C]127[/C][C] 0.03363[/C][C] 0.06727[/C][C] 0.9664[/C][/ROW]
[ROW][C]128[/C][C] 0.02719[/C][C] 0.05438[/C][C] 0.9728[/C][/ROW]
[ROW][C]129[/C][C] 0.02069[/C][C] 0.04138[/C][C] 0.9793[/C][/ROW]
[ROW][C]130[/C][C] 0.03715[/C][C] 0.07431[/C][C] 0.9628[/C][/ROW]
[ROW][C]131[/C][C] 0.03319[/C][C] 0.06638[/C][C] 0.9668[/C][/ROW]
[ROW][C]132[/C][C] 0.06615[/C][C] 0.1323[/C][C] 0.9339[/C][/ROW]
[ROW][C]133[/C][C] 0.06764[/C][C] 0.1353[/C][C] 0.9324[/C][/ROW]
[ROW][C]134[/C][C] 0.1871[/C][C] 0.3742[/C][C] 0.8129[/C][/ROW]
[ROW][C]135[/C][C] 0.157[/C][C] 0.3141[/C][C] 0.843[/C][/ROW]
[ROW][C]136[/C][C] 0.2872[/C][C] 0.5744[/C][C] 0.7128[/C][/ROW]
[ROW][C]137[/C][C] 0.4135[/C][C] 0.827[/C][C] 0.5865[/C][/ROW]
[ROW][C]138[/C][C] 0.3675[/C][C] 0.735[/C][C] 0.6325[/C][/ROW]
[ROW][C]139[/C][C] 0.5929[/C][C] 0.8141[/C][C] 0.4071[/C][/ROW]
[ROW][C]140[/C][C] 0.5434[/C][C] 0.9132[/C][C] 0.4566[/C][/ROW]
[ROW][C]141[/C][C] 0.5391[/C][C] 0.9217[/C][C] 0.4609[/C][/ROW]
[ROW][C]142[/C][C] 0.4983[/C][C] 0.9965[/C][C] 0.5017[/C][/ROW]
[ROW][C]143[/C][C] 0.4956[/C][C] 0.9912[/C][C] 0.5044[/C][/ROW]
[ROW][C]144[/C][C] 0.4886[/C][C] 0.9772[/C][C] 0.5114[/C][/ROW]
[ROW][C]145[/C][C] 0.5008[/C][C] 0.9984[/C][C] 0.4992[/C][/ROW]
[ROW][C]146[/C][C] 0.4386[/C][C] 0.8772[/C][C] 0.5614[/C][/ROW]
[ROW][C]147[/C][C] 0.6452[/C][C] 0.7096[/C][C] 0.3548[/C][/ROW]
[ROW][C]148[/C][C] 0.742[/C][C] 0.516[/C][C] 0.258[/C][/ROW]
[ROW][C]149[/C][C] 0.7559[/C][C] 0.4881[/C][C] 0.2441[/C][/ROW]
[ROW][C]150[/C][C] 0.8423[/C][C] 0.3154[/C][C] 0.1577[/C][/ROW]
[ROW][C]151[/C][C] 0.8102[/C][C] 0.3797[/C][C] 0.1898[/C][/ROW]
[ROW][C]152[/C][C] 0.7481[/C][C] 0.5038[/C][C] 0.2519[/C][/ROW]
[ROW][C]153[/C][C] 0.6842[/C][C] 0.6315[/C][C] 0.3158[/C][/ROW]
[ROW][C]154[/C][C] 0.6365[/C][C] 0.7271[/C][C] 0.3635[/C][/ROW]
[ROW][C]155[/C][C] 0.562[/C][C] 0.8761[/C][C] 0.438[/C][/ROW]
[ROW][C]156[/C][C] 0.5503[/C][C] 0.8995[/C][C] 0.4497[/C][/ROW]
[ROW][C]157[/C][C] 0.7705[/C][C] 0.4589[/C][C] 0.2295[/C][/ROW]
[ROW][C]158[/C][C] 0.6798[/C][C] 0.6403[/C][C] 0.3202[/C][/ROW]
[ROW][C]159[/C][C] 0.5654[/C][C] 0.8692[/C][C] 0.4346[/C][/ROW]
[ROW][C]160[/C][C] 0.4491[/C][C] 0.8982[/C][C] 0.5509[/C][/ROW]
[ROW][C]161[/C][C] 0.6169[/C][C] 0.7662[/C][C] 0.3831[/C][/ROW]
[ROW][C]162[/C][C] 0.4512[/C][C] 0.9024[/C][C] 0.5488[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=5

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
6 0.5776 0.8448 0.4224
7 0.7448 0.5104 0.2552
8 0.6217 0.7566 0.3783
9 0.5611 0.8779 0.4389
10 0.577 0.846 0.423
11 0.4708 0.9416 0.5292
12 0.4173 0.8345 0.5827
13 0.3574 0.7149 0.6426
14 0.4943 0.9886 0.5057
15 0.4251 0.8501 0.5749
16 0.3458 0.6917 0.6542
17 0.2765 0.553 0.7235
18 0.2477 0.4954 0.7523
19 0.2755 0.5509 0.7245
20 0.2412 0.4825 0.7588
21 0.2054 0.4108 0.7946
22 0.1672 0.3345 0.8328
23 0.1385 0.2769 0.8615
24 0.1638 0.3277 0.8362
25 0.1342 0.2683 0.8658
26 0.1036 0.2072 0.8964
27 0.08331 0.1666 0.9167
28 0.06304 0.1261 0.937
29 0.04937 0.09873 0.9506
30 0.06657 0.1331 0.9334
31 0.05368 0.1074 0.9463
32 0.04177 0.08355 0.9582
33 0.03188 0.06376 0.9681
34 0.1077 0.2154 0.8923
35 0.08476 0.1695 0.9152
36 0.06941 0.1388 0.9306
37 0.05611 0.1122 0.9439
38 0.04535 0.0907 0.9546
39 0.05484 0.1097 0.9452
40 0.04315 0.0863 0.9568
41 0.03315 0.06629 0.9669
42 0.09094 0.1819 0.9091
43 0.07987 0.1597 0.9201
44 0.06278 0.1256 0.9372
45 0.05191 0.1038 0.9481
46 0.04095 0.08191 0.959
47 0.03311 0.06622 0.9669
48 0.035 0.07 0.965
49 0.06885 0.1377 0.9311
50 0.05846 0.1169 0.9415
51 0.06605 0.1321 0.934
52 0.07403 0.1481 0.926
53 0.172 0.344 0.828
54 0.1495 0.2991 0.8505
55 0.1254 0.2509 0.8746
56 0.1074 0.2147 0.8926
57 0.08878 0.1776 0.9112
58 0.07603 0.1521 0.924
59 0.06136 0.1227 0.9386
60 0.0494 0.09879 0.9506
61 0.04142 0.08285 0.9586
62 0.0373 0.0746 0.9627
63 0.0288 0.0576 0.9712
64 0.02234 0.04468 0.9777
65 0.09857 0.1971 0.9014
66 0.09318 0.1864 0.9068
67 0.07535 0.1507 0.9246
68 0.06998 0.14 0.93
69 0.05601 0.112 0.944
70 0.04493 0.08987 0.9551
71 0.0351 0.07021 0.9649
72 0.03565 0.07131 0.9643
73 0.04316 0.08631 0.9568
74 0.04624 0.09249 0.9538
75 0.03735 0.0747 0.9627
76 0.02957 0.05913 0.9704
77 0.02407 0.04815 0.9759
78 0.04118 0.08235 0.9588
79 0.03261 0.06521 0.9674
80 0.02761 0.05521 0.9724
81 0.05924 0.1185 0.9408
82 0.04841 0.09681 0.9516
83 0.03956 0.07912 0.9604
84 0.03998 0.07996 0.96
85 0.1603 0.3206 0.8397
86 0.1595 0.319 0.8405
87 0.1716 0.3433 0.8284
88 0.1505 0.301 0.8495
89 0.1274 0.2548 0.8726
90 0.2456 0.4913 0.7544
91 0.2166 0.4333 0.7834
92 0.2152 0.4304 0.7848
93 0.184 0.3679 0.816
94 0.1842 0.3683 0.8158
95 0.1576 0.3151 0.8424
96 0.1335 0.267 0.8665
97 0.2553 0.5106 0.7447
98 0.2336 0.4672 0.7664
99 0.2068 0.4137 0.7932
100 0.181 0.362 0.819
101 0.2001 0.4001 0.7999
102 0.1753 0.3507 0.8247
103 0.1526 0.3051 0.8474
104 0.1307 0.2613 0.8693
105 0.1337 0.2675 0.8663
106 0.1246 0.2491 0.8754
107 0.1106 0.2212 0.8894
108 0.09361 0.1872 0.9064
109 0.08238 0.1648 0.9176
110 0.07237 0.1447 0.9276
111 0.07905 0.1581 0.9209
112 0.06326 0.1265 0.9367
113 0.1439 0.2878 0.8561
114 0.2295 0.4589 0.7705
115 0.21 0.42 0.79
116 0.1815 0.3629 0.8185
117 0.157 0.3141 0.843
118 0.1369 0.2738 0.8631
119 0.115 0.2299 0.885
120 0.09454 0.1891 0.9055
121 0.07842 0.1568 0.9216
122 0.06663 0.1333 0.9334
123 0.05357 0.1071 0.9464
124 0.07208 0.1442 0.9279
125 0.0568 0.1136 0.9432
126 0.04413 0.08826 0.9559
127 0.03363 0.06727 0.9664
128 0.02719 0.05438 0.9728
129 0.02069 0.04138 0.9793
130 0.03715 0.07431 0.9628
131 0.03319 0.06638 0.9668
132 0.06615 0.1323 0.9339
133 0.06764 0.1353 0.9324
134 0.1871 0.3742 0.8129
135 0.157 0.3141 0.843
136 0.2872 0.5744 0.7128
137 0.4135 0.827 0.5865
138 0.3675 0.735 0.6325
139 0.5929 0.8141 0.4071
140 0.5434 0.9132 0.4566
141 0.5391 0.9217 0.4609
142 0.4983 0.9965 0.5017
143 0.4956 0.9912 0.5044
144 0.4886 0.9772 0.5114
145 0.5008 0.9984 0.4992
146 0.4386 0.8772 0.5614
147 0.6452 0.7096 0.3548
148 0.742 0.516 0.258
149 0.7559 0.4881 0.2441
150 0.8423 0.3154 0.1577
151 0.8102 0.3797 0.1898
152 0.7481 0.5038 0.2519
153 0.6842 0.6315 0.3158
154 0.6365 0.7271 0.3635
155 0.562 0.8761 0.438
156 0.5503 0.8995 0.4497
157 0.7705 0.4589 0.2295
158 0.6798 0.6403 0.3202
159 0.5654 0.8692 0.4346
160 0.4491 0.8982 0.5509
161 0.6169 0.7662 0.3831
162 0.4512 0.9024 0.5488







Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level0 0OK
5% type I error level30.0191083OK
10% type I error level340.216561NOK

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
Description & # significant tests & % significant tests & OK/NOK \tabularnewline
1% type I error level & 0 &  0 & OK \tabularnewline
5% type I error level & 3 & 0.0191083 & OK \tabularnewline
10% type I error level & 34 & 0.216561 & NOK \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300211&T=6

[TABLE]
[ROW][C]Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]Description[/C][C]# significant tests[/C][C]% significant tests[/C][C]OK/NOK[/C][/ROW]
[ROW][C]1% type I error level[/C][C]0[/C][C] 0[/C][C]OK[/C][/ROW]
[ROW][C]5% type I error level[/C][C]3[/C][C]0.0191083[/C][C]OK[/C][/ROW]
[ROW][C]10% type I error level[/C][C]34[/C][C]0.216561[/C][C]NOK[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300211&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=6

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level0 0OK
5% type I error level30.0191083OK
10% type I error level340.216561NOK







Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 1.1694, df1 = 2, df2 = 163, p-value = 0.3131
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 1.2272, df1 = 4, df2 = 161, p-value = 0.3014
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 1.3918, df1 = 2, df2 = 163, p-value = 0.2516

\begin{tabular}{lllllllll}
\hline
Ramsey RESET F-Test for powers (2 and 3) of fitted values \tabularnewline
> reset_test_fitted
	RESET test
data:  mylm
RESET = 1.1694, df1 = 2, df2 = 163, p-value = 0.3131
\tabularnewline Ramsey RESET F-Test for powers (2 and 3) of regressors \tabularnewline
> reset_test_regressors
	RESET test
data:  mylm
RESET = 1.2272, df1 = 4, df2 = 161, p-value = 0.3014
\tabularnewline Ramsey RESET F-Test for powers (2 and 3) of principal components \tabularnewline
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 1.3918, df1 = 2, df2 = 163, p-value = 0.2516
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=300211&T=7

[TABLE]
[ROW][C]Ramsey RESET F-Test for powers (2 and 3) of fitted values[/C][/ROW]
[ROW][C]
> reset_test_fitted
	RESET test
data:  mylm
RESET = 1.1694, df1 = 2, df2 = 163, p-value = 0.3131
[/C][/ROW] [ROW][C]Ramsey RESET F-Test for powers (2 and 3) of regressors[/C][/ROW] [ROW][C]
> reset_test_regressors
	RESET test
data:  mylm
RESET = 1.2272, df1 = 4, df2 = 161, p-value = 0.3014
[/C][/ROW] [ROW][C]Ramsey RESET F-Test for powers (2 and 3) of principal components[/C][/ROW] [ROW][C]
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 1.3918, df1 = 2, df2 = 163, p-value = 0.2516
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300211&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=7

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 1.1694, df1 = 2, df2 = 163, p-value = 0.3131
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 1.2272, df1 = 4, df2 = 161, p-value = 0.3014
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 1.3918, df1 = 2, df2 = 163, p-value = 0.2516







Variance Inflation Factors (Multicollinearity)
> vif
     EP2      EP3 
1.014752 1.014752 

\begin{tabular}{lllllllll}
\hline
Variance Inflation Factors (Multicollinearity) \tabularnewline
> vif
     EP2      EP3 
1.014752 1.014752 
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=300211&T=8

[TABLE]
[ROW][C]Variance Inflation Factors (Multicollinearity)[/C][/ROW]
[ROW][C]
> vif
     EP2      EP3 
1.014752 1.014752 
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300211&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300211&T=8

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Inflation Factors (Multicollinearity)
> vif
     EP2      EP3 
1.014752 1.014752 



Parameters (Session):
par1 = 3 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; par4 = 0 ; par5 = 0 ;
Parameters (R input):
par1 = 3 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; par4 = 0 ; par5 = 0 ;
R code (references can be found in the software module):
par5 <- '0'
par4 <- '0'
par3 <- 'No Linear Trend'
par2 <- 'Do not include Seasonal Dummies'
par1 <- '3'
library(lattice)
library(lmtest)
library(car)
library(MASS)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
mywarning <- ''
par1 <- as.numeric(par1)
if(is.na(par1)) {
par1 <- 1
mywarning = 'Warning: you did not specify the column number of the endogenous series! The first column was selected by default.'
}
if (par4=='') par4 <- 0
par4 <- as.numeric(par4)
if (par5=='') par5 <- 0
par5 <- as.numeric(par5)
x <- na.omit(t(y))
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'Seasonal Differences (s=12)'){
(n <- n - 12)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B12)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+12,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'First and Seasonal Differences (s=12)'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
(n <- n - 12)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B12)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+12,j] - x[i,j]
}
}
x <- x2
}
if(par4 > 0) {
x2 <- array(0, dim=c(n-par4,par4), dimnames=list(1:(n-par4), paste(colnames(x)[par1],'(t-',1:par4,')',sep='')))
for (i in 1:(n-par4)) {
for (j in 1:par4) {
x2[i,j] <- x[i+par4-j,par1]
}
}
x <- cbind(x[(par4+1):n,], x2)
n <- n - par4
}
if(par5 > 0) {
x2 <- array(0, dim=c(n-par5*12,par5), dimnames=list(1:(n-par5*12), paste(colnames(x)[par1],'(t-',1:par5,'s)',sep='')))
for (i in 1:(n-par5*12)) {
for (j in 1:par5) {
x2[i,j] <- x[i+par5*12-j*12,par1]
}
}
x <- cbind(x[(par5*12+1):n,], x2)
n <- n - par5*12
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
(k <- length(x[n,]))
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
print(x)
(k <- length(x[n,]))
head(x)
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
sresid <- studres(mylm)
hist(sresid, freq=FALSE, main='Distribution of Studentized Residuals')
xfit<-seq(min(sresid),max(sresid),length=40)
yfit<-dnorm(xfit)
lines(xfit, yfit)
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqPlot(mylm, main='QQ Plot')
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
print(z)
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, signif(mysum$coefficients[i,1],6), sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, mywarning)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Multiple Linear Regression - Ordinary Least Squares', 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,formatC(signif(mysum$coefficients[i,1],5),format='g',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,2],5),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,3],4),format='e',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4],4),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4]/2,4),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a,formatC(signif(sqrt(mysum$r.squared),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$adj.r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a,formatC(signif(mysum$fstatistic[1],6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[2],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[3],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a,formatC(signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a,formatC(signif(mysum$sigma,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a,formatC(signif(sum(myerror*myerror),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
myr <- as.numeric(mysum$resid)
myr
if(n < 200) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,formatC(signif(x[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(x[i]-mysum$resid[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$resid[i],6),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,1],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,2],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,3],6),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant1,6))
a<-table.element(a,formatC(signif(numsignificant1/numgqtests,6),format='g',flag=' '))
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant5,6))
a<-table.element(a,signif(numsignificant5/numgqtests,6))
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant10,6))
a<-table.element(a,signif(numsignificant10/numgqtests,6))
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of fitted values',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_fitted <- resettest(mylm,power=2:3,type='fitted')
a<-table.element(a,paste('
',RC.texteval('reset_test_fitted'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of regressors',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_regressors <- resettest(mylm,power=2:3,type='regressor')
a<-table.element(a,paste('
',RC.texteval('reset_test_regressors'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of principal components',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_principal_components <- resettest(mylm,power=2:3,type='princomp')
a<-table.element(a,paste('
',RC.texteval('reset_test_principal_components'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable8.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Inflation Factors (Multicollinearity)',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
vif <- vif(mylm)
a<-table.element(a,paste('
',RC.texteval('vif'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable9.tab')