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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 computationMon, 08 Dec 2014 11:51:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/08/t1418039524a4ohni6ac5t3mny.htm/, Retrieved Sun, 19 May 2024 11:15:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263947, Retrieved Sun, 19 May 2024 11:15:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Multiple Regression] [paper mr numeracy] [2014-12-08 11:51:34] [ec1b40d1a9751af99658fe8fca4f9eca] [Current]
- R  D    [Multiple Regression] [paper mr numeracy] [2014-12-08 11:55:23] [673773038936aef3a5778d7e6bda5c1e]
- R  D    [Multiple Regression] [paper mr numeracy] [2014-12-08 11:57:14] [673773038936aef3a5778d7e6bda5c1e]
- RMPD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper motivation ...] [2014-12-08 12:19:20] [673773038936aef3a5778d7e6bda5c1e]
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Dataseries X:
1 21 1.00 0.50 0.67 0.67 0.00 0.50
0 22 0.89 0.50 0.83 0.33 0.50 1.00
1 22 0.89 0.40 1.00 0.67 0.00 1.00
0 18 0.89 0.50 0.83 0.00 0.00 0.00
0 23 0.89 0.70 0.67 0.00 1.00 1.00
0 12 0.78 0.30 0.00 0.00 0.50 0.50
1 20 0.89 0.40 0.83 0.67 0.50 0.00
0 22 1.00 0.40 0.50 0.67 1.00 1.00
0 21 0.89 0.70 0.83 0.00 0.50 0.00
0 19 0.78 0.60 0.33 0.67 0.50 0.50
0 22 1.00 0.60 0.50 1.00 0.00 0.50
0 15 0.78 0.20 0.67 0.00 0.50 0.50
0 20 0.89 0.40 1.00 0.00 0.50 0.50
1 19 0.89 0.40 0.50 0.67 0.00 1.00
1 18 0.89 0.50 0.67 0.33 0.00 0.00
1 15 0.89 0.30 0.17 0.67 0.00 0.50
0 20 0.89 0.40 0.83 0.33 0.50 0.50
1 21 0.67 0.70 0.67 0.33 0.50 1.00
0 21 1.00 0.50 0.67 0.33 0.00 1.00
1 15 0.78 0.20 0.67 0.00 0.00 1.00
0 16 0.78 0.30 0.50 0.67 0.00 0.50
0 23 0.89 0.60 1.00 0.33 0.00 1.00
1 21 0.78 0.60 0.83 0.33 0.00 1.00
0 18 0.89 0.20 0.83 0.33 0.00 1.00
0 25 0.89 0.70 1.00 0.67 1.00 0.00
0 9 0.33 0.20 0.67 0.00 0.00 0.00
0 30 1.00 1.00 1.00 0.33 1.00 1.00
1 20 0.89 0.40 0.83 0.67 0.00 0.50
0 23 0.89 0.40 1.00 1.00 0.00 1.00
1 16 0.67 0.20 0.83 0.67 0.00 0.50
1 16 0.56 0.40 0.67 0.33 0.00 1.00
1 19 0.89 0.40 0.67 0.00 0.50 1.00
0 25 0.89 0.70 1.00 0.67 0.50 0.50
0 18 1.00 0.20 0.67 0.67 0.00 0.50
0 23 0.78 0.60 1.00 1.00 0.00 0.50
0 21 0.78 0.30 1.00 1.00 0.50 0.50
1 10 0.33 0.30 0.50 0.33 0.00 0.00
0 14 0.78 0.20 0.67 0.00 0.50 0.00
0 22 0.89 0.50 0.83 0.67 0.50 0.50
1 26 0.89 0.70 1.00 0.67 0.50 1.00
0 23 0.78 0.60 1.00 0.67 0.50 0.50
0 23 0.89 0.40 1.00 0.67 0.50 1.00
0 24 0.89 0.60 1.00 0.33 0.50 1.00
0 24 1.00 0.40 1.00 1.00 0.00 1.00
0 18 0.67 0.30 0.83 0.67 0.00 1.00
1 23 1.00 0.50 0.83 0.67 0.50 0.50
0 15 0.89 0.20 0.50 0.00 0.00 1.00
0 19 0.89 0.30 0.83 0.00 0.50 1.00
1 16 0.89 0.50 0.17 0.00 0.00 1.00
0 25 0.78 0.70 0.83 1.00 0.50 1.00
0 23 0.89 0.40 1.00 0.67 1.00 0.50
0 17 0.78 0.30 1.00 0.00 0.00 0.50
0 19 0.78 0.20 0.67 0.67 1.00 1.00
0 21 1.00 0.50 1.00 0.00 0.00 0.50
0 18 0.78 0.40 1.00 0.00 0.50 0.00
0 27 1.00 0.60 1.00 0.67 1.00 1.00
1 21 0.78 0.40 0.83 1.00 0.00 1.00
0 13 0.67 0.40 0.33 0.00 0.00 0.50
1 8 0.33 0.20 0.33 0.33 0.00 0.00
0 29 1.00 0.90 1.00 0.67 0.50 1.00
0 28 1.00 0.80 1.00 0.67 1.00 0.50
1 23 0.78 0.80 0.83 0.00 0.50 1.00
1 21 0.67 0.30 1.00 1.00 0.50 1.00
0 19 1.00 0.20 0.83 0.67 0.00 0.50
1 19 0.89 0.40 0.67 0.00 0.50 1.00
0 20 0.89 0.20 0.83 1.00 0.00 1.00
1 18 0.78 0.20 0.67 0.67 0.50 1.00
0 19 1.00 0.10 0.83 0.67 0.00 1.00
0 17 0.56 0.40 0.67 1.00 0.50 0.00
1 19 0.67 0.50 1.00 0.00 0.50 0.50
1 25 0.89 0.80 0.83 0.33 0.50 1.00
1 19 0.89 0.40 0.67 0.67 0.00 0.50
1 22 0.89 0.60 0.83 0.33 0.50 0.50
0 23 0.89 0.50 0.83 0.67 0.50 1.00
1 14 0.78 0.30 0.67 0.00 0.00 0.00
0 28 0.89 0.80 1.00 1.00 0.50 1.00
1 16 1.00 0.40 0.33 0.00 0.50 0.00
0 24 1.00 0.60 0.83 0.67 0.50 0.50
1 20 0.89 0.40 1.00 0.33 0.00 0.50
1 12 0.44 0.30 0.83 0.00 0.00 0.00
0 24 0.78 0.80 0.83 0.00 1.00 1.00
1 22 0.89 0.60 0.50 0.33 1.00 1.00
1 12 0.67 0.30 0.50 0.00 0.00 0.00
1 22 0.78 0.50 0.83 0.67 0.50 1.00
0 20 0.78 0.40 1.00 0.33 0.00 1.00
1 10 0.33 0.30 0.33 0.67 0.00 0.00
0 23 0.89 0.70 1.00 0.33 0.00 0.50
0 17 0.89 0.20 0.67 0.33 0.50 0.50
1 22 0.89 0.40 0.83 1.00 0.00 1.00
1 24 0.89 0.60 1.00 0.67 0.50 0.50
1 18 0.56 0.60 0.83 0.00 0.00 1.00
0 21 0.67 0.60 0.83 0.67 0.50 0.50
0 20 0.67 0.40 1.00 0.33 0.50 1.00
0 20 0.78 0.60 0.83 0.00 0.00 1.00
1 22 0.78 0.50 1.00 0.33 0.50 1.00
0 19 0.78 0.50 0.83 0.00 0.00 1.00
1 20 0.89 0.60 0.67 0.00 0.00 1.00
0 26 1.00 0.80 0.83 0.33 0.50 1.00
0 23 0.89 0.50 0.83 0.67 1.00 0.50
0 24 0.89 0.60 0.83 0.67 0.50 1.00
0 21 0.78 0.40 0.83 0.67 0.50 1.00
0 21 1.00 0.30 0.67 0.67 0.50 1.00
1 19 0.78 0.30 0.83 1.00 0.00 0.50
0 8 0.67 0.20 0.00 0.00 0.00 0.00
0 17 0.78 0.40 0.83 0.00 0.00 0.50
0 20 0.89 0.50 1.00 0.00 0.00 0.50
1 11 0.67 0.30 0.17 0.00 0.50 0.00
1 8 0.22 0.40 0.17 0.00 0.50 0.00
1 15 0.44 0.50 0.50 1.00 0.00 0.00
1 18 0.89 0.30 0.50 0.67 0.00 1.00
1 18 0.67 0.50 1.00 0.00 0.00 0.50
1 19 0.89 0.40 0.67 0.67 0.00 0.50
0 19 0.67 0.40 0.83 0.67 0.00 1.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Multiple Linear Regression - Estimated Regression Equation
gendercode[t] = + 1.16871 -1.94641NUMERACYTOT_op_32[t] + 16.8055Calculation[t] + 19.8695Algebraic_Reasoning[t] + 11.2617Graphical_Interpretation[t] + 5.88502Proportionality_and_Ratio[t] + 3.5512Probability_and_Sampling[t] + 3.92878Estimation[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
gendercode[t] =  +  1.16871 -1.94641NUMERACYTOT_op_32[t] +  16.8055Calculation[t] +  19.8695Algebraic_Reasoning[t] +  11.2617Graphical_Interpretation[t] +  5.88502Proportionality_and_Ratio[t] +  3.5512Probability_and_Sampling[t] +  3.92878Estimation[t]  + e[t] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]gendercode[t] =  +  1.16871 -1.94641NUMERACYTOT_op_32[t] +  16.8055Calculation[t] +  19.8695Algebraic_Reasoning[t] +  11.2617Graphical_Interpretation[t] +  5.88502Proportionality_and_Ratio[t] +  3.5512Probability_and_Sampling[t] +  3.92878Estimation[t]  + e[t][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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
gendercode[t] = + 1.16871 -1.94641NUMERACYTOT_op_32[t] + 16.8055Calculation[t] + 19.8695Algebraic_Reasoning[t] + 11.2617Graphical_Interpretation[t] + 5.88502Proportionality_and_Ratio[t] + 3.5512Probability_and_Sampling[t] + 3.92878Estimation[t] + e[t]







Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)1.168710.2450274.775.97524e-062.98762e-06
NUMERACYTOT_op_32-1.946412.0863-0.93290.3529870.176493
Calculation16.805518.74130.89670.3719240.185962
Algebraic_Reasoning19.869520.92670.94950.3445570.172278
Graphical_Interpretation11.261712.53790.89820.3711270.185564
Proportionality_and_Ratio5.885026.264510.93940.349670.174835
Probability_and_Sampling3.55124.152370.85520.3943760.197188
Estimation3.928784.157790.94490.3468690.173435

\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) & 1.16871 & 0.245027 & 4.77 & 5.97524e-06 & 2.98762e-06 \tabularnewline
NUMERACYTOT_op_32 & -1.94641 & 2.0863 & -0.9329 & 0.352987 & 0.176493 \tabularnewline
Calculation & 16.8055 & 18.7413 & 0.8967 & 0.371924 & 0.185962 \tabularnewline
Algebraic_Reasoning & 19.8695 & 20.9267 & 0.9495 & 0.344557 & 0.172278 \tabularnewline
Graphical_Interpretation & 11.2617 & 12.5379 & 0.8982 & 0.371127 & 0.185564 \tabularnewline
Proportionality_and_Ratio & 5.88502 & 6.26451 & 0.9394 & 0.34967 & 0.174835 \tabularnewline
Probability_and_Sampling & 3.5512 & 4.15237 & 0.8552 & 0.394376 & 0.197188 \tabularnewline
Estimation & 3.92878 & 4.15779 & 0.9449 & 0.346869 & 0.173435 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&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]1.16871[/C][C]0.245027[/C][C]4.77[/C][C]5.97524e-06[/C][C]2.98762e-06[/C][/ROW]
[ROW][C]NUMERACYTOT_op_32[/C][C]-1.94641[/C][C]2.0863[/C][C]-0.9329[/C][C]0.352987[/C][C]0.176493[/C][/ROW]
[ROW][C]Calculation[/C][C]16.8055[/C][C]18.7413[/C][C]0.8967[/C][C]0.371924[/C][C]0.185962[/C][/ROW]
[ROW][C]Algebraic_Reasoning[/C][C]19.8695[/C][C]20.9267[/C][C]0.9495[/C][C]0.344557[/C][C]0.172278[/C][/ROW]
[ROW][C]Graphical_Interpretation[/C][C]11.2617[/C][C]12.5379[/C][C]0.8982[/C][C]0.371127[/C][C]0.185564[/C][/ROW]
[ROW][C]Proportionality_and_Ratio[/C][C]5.88502[/C][C]6.26451[/C][C]0.9394[/C][C]0.34967[/C][C]0.174835[/C][/ROW]
[ROW][C]Probability_and_Sampling[/C][C]3.5512[/C][C]4.15237[/C][C]0.8552[/C][C]0.394376[/C][C]0.197188[/C][/ROW]
[ROW][C]Estimation[/C][C]3.92878[/C][C]4.15779[/C][C]0.9449[/C][C]0.346869[/C][C]0.173435[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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)1.168710.2450274.775.97524e-062.98762e-06
NUMERACYTOT_op_32-1.946412.0863-0.93290.3529870.176493
Calculation16.805518.74130.89670.3719240.185962
Algebraic_Reasoning19.869520.92670.94950.3445570.172278
Graphical_Interpretation11.261712.53790.89820.3711270.185564
Proportionality_and_Ratio5.885026.264510.93940.349670.174835
Probability_and_Sampling3.55124.152370.85520.3943760.197188
Estimation3.928784.157790.94490.3468690.173435







Multiple Linear Regression - Regression Statistics
Multiple R0.394161
R-squared0.155363
Adjusted R-squared0.0990537
F-TEST (value)2.75911
F-TEST (DF numerator)7
F-TEST (DF denominator)105
p-value0.0113442
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.469918
Sum Squared Residuals23.1864

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R & 0.394161 \tabularnewline
R-squared & 0.155363 \tabularnewline
Adjusted R-squared & 0.0990537 \tabularnewline
F-TEST (value) & 2.75911 \tabularnewline
F-TEST (DF numerator) & 7 \tabularnewline
F-TEST (DF denominator) & 105 \tabularnewline
p-value & 0.0113442 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation & 0.469918 \tabularnewline
Sum Squared Residuals & 23.1864 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C]0.394161[/C][/ROW]
[ROW][C]R-squared[/C][C]0.155363[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C]0.0990537[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C]2.75911[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]7[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]105[/C][/ROW]
[ROW][C]p-value[/C][C]0.0113442[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C]0.469918[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C]23.1864[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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 R0.394161
R-squared0.155363
Adjusted R-squared0.0990537
F-TEST (value)2.75911
F-TEST (DF numerator)7
F-TEST (DF denominator)105
p-value0.0113442
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.469918
Sum Squared Residuals23.1864







Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
110.4870330.512967
200.232968-0.232968
310.3858140.614186
400.372172-0.372172
500.292127-0.292127
600.620927-0.620927
710.2109640.789036
800.154778-0.154778
900.282434-0.282434
1000.616214-0.616214
1100.55514-0.55514
1200.340074-0.340074
1300.146879-0.146879
1410.5942050.405795
1510.5123590.487641
1610.7121520.287848
1700.174449-0.174449
1810.654190.34581
1900.450518-0.450518
2010.5288670.471133
2100.633489-0.633489
2200.412392-0.412392
2310.542120.45788
2400.282168-0.282168
2500.129839-0.129839
2600.716062-0.716062
2700.135115-0.135115
2810.3997570.600243
2900.381459-0.381459
3010.5142890.485711
3110.8011940.198806
3210.3413270.658673
3300.318632-0.318632
3400.365421-0.365421
3500.542356-0.542356
3600.249932-0.249932
3710.784170.21583
3800.322093-0.322093
3900.269482-0.269482
4010.3366140.663386
4100.375898-0.375898
4200.215002-0.215002
4300.241581-0.241581
4400.283656-0.283656
4500.572807-0.572807
4610.1716790.828321
4700.462989-0.462989
4800.156248-0.156248
4910.7610670.238933
5000.461987-0.461987
5100.0262087-0.0262087
5200.374957-0.374957
5300.237385-0.237385
5400.260425-0.260425
5500.226701-0.226701
5600.0274613-0.0274613
5710.5111870.488813
5800.753613-0.753613
5910.7755570.224443
6000.319885-0.319885
6100.0905546-0.0905546
6210.4567370.543263
6310.3657170.634283
6400.220879-0.220879
6510.3413270.658673
6600.332309-0.332309
6710.4081970.591803
6800.198323-0.198323
6900.644561-0.644561
7010.3830230.616977
7110.354580.64542
7210.5442990.455701
7310.2555240.744476
7400.287464-0.287464
7510.5334420.466558
7600.372796-0.372796
7710.271410.72859
7800.212217-0.212217
7910.3133370.686663
8010.5142550.485745
8100.285926-0.285926
8210.279160.72084
8310.663170.33683
8410.3852670.614733
8500.429121-0.429121
8610.870590.12941
8700.434948-0.434948
8800.237916-0.237916
8910.4133840.586616
9010.2780950.721905
9110.7420810.257919
9200.505626-0.505626
9300.356112-0.356112
9400.546475-0.546475
9510.2988460.701154
9600.505937-0.505937
9710.5932130.406787
9800.256777-0.256777
9900.0986707-0.0986707
10000.328001-0.328001
10100.34473-0.34473
10200.253128-0.253128
10310.4526690.547331
10400.831023-0.831023
10500.447419-0.447419
10600.358228-0.358228
10710.6688240.331176
10810.9325190.067481
10910.8175830.182417
11010.5536670.446333
11110.5538350.446165
11210.5442990.455701
11300.613345-0.613345

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 & 1 & 0.487033 & 0.512967 \tabularnewline
2 & 0 & 0.232968 & -0.232968 \tabularnewline
3 & 1 & 0.385814 & 0.614186 \tabularnewline
4 & 0 & 0.372172 & -0.372172 \tabularnewline
5 & 0 & 0.292127 & -0.292127 \tabularnewline
6 & 0 & 0.620927 & -0.620927 \tabularnewline
7 & 1 & 0.210964 & 0.789036 \tabularnewline
8 & 0 & 0.154778 & -0.154778 \tabularnewline
9 & 0 & 0.282434 & -0.282434 \tabularnewline
10 & 0 & 0.616214 & -0.616214 \tabularnewline
11 & 0 & 0.55514 & -0.55514 \tabularnewline
12 & 0 & 0.340074 & -0.340074 \tabularnewline
13 & 0 & 0.146879 & -0.146879 \tabularnewline
14 & 1 & 0.594205 & 0.405795 \tabularnewline
15 & 1 & 0.512359 & 0.487641 \tabularnewline
16 & 1 & 0.712152 & 0.287848 \tabularnewline
17 & 0 & 0.174449 & -0.174449 \tabularnewline
18 & 1 & 0.65419 & 0.34581 \tabularnewline
19 & 0 & 0.450518 & -0.450518 \tabularnewline
20 & 1 & 0.528867 & 0.471133 \tabularnewline
21 & 0 & 0.633489 & -0.633489 \tabularnewline
22 & 0 & 0.412392 & -0.412392 \tabularnewline
23 & 1 & 0.54212 & 0.45788 \tabularnewline
24 & 0 & 0.282168 & -0.282168 \tabularnewline
25 & 0 & 0.129839 & -0.129839 \tabularnewline
26 & 0 & 0.716062 & -0.716062 \tabularnewline
27 & 0 & 0.135115 & -0.135115 \tabularnewline
28 & 1 & 0.399757 & 0.600243 \tabularnewline
29 & 0 & 0.381459 & -0.381459 \tabularnewline
30 & 1 & 0.514289 & 0.485711 \tabularnewline
31 & 1 & 0.801194 & 0.198806 \tabularnewline
32 & 1 & 0.341327 & 0.658673 \tabularnewline
33 & 0 & 0.318632 & -0.318632 \tabularnewline
34 & 0 & 0.365421 & -0.365421 \tabularnewline
35 & 0 & 0.542356 & -0.542356 \tabularnewline
36 & 0 & 0.249932 & -0.249932 \tabularnewline
37 & 1 & 0.78417 & 0.21583 \tabularnewline
38 & 0 & 0.322093 & -0.322093 \tabularnewline
39 & 0 & 0.269482 & -0.269482 \tabularnewline
40 & 1 & 0.336614 & 0.663386 \tabularnewline
41 & 0 & 0.375898 & -0.375898 \tabularnewline
42 & 0 & 0.215002 & -0.215002 \tabularnewline
43 & 0 & 0.241581 & -0.241581 \tabularnewline
44 & 0 & 0.283656 & -0.283656 \tabularnewline
45 & 0 & 0.572807 & -0.572807 \tabularnewline
46 & 1 & 0.171679 & 0.828321 \tabularnewline
47 & 0 & 0.462989 & -0.462989 \tabularnewline
48 & 0 & 0.156248 & -0.156248 \tabularnewline
49 & 1 & 0.761067 & 0.238933 \tabularnewline
50 & 0 & 0.461987 & -0.461987 \tabularnewline
51 & 0 & 0.0262087 & -0.0262087 \tabularnewline
52 & 0 & 0.374957 & -0.374957 \tabularnewline
53 & 0 & 0.237385 & -0.237385 \tabularnewline
54 & 0 & 0.260425 & -0.260425 \tabularnewline
55 & 0 & 0.226701 & -0.226701 \tabularnewline
56 & 0 & 0.0274613 & -0.0274613 \tabularnewline
57 & 1 & 0.511187 & 0.488813 \tabularnewline
58 & 0 & 0.753613 & -0.753613 \tabularnewline
59 & 1 & 0.775557 & 0.224443 \tabularnewline
60 & 0 & 0.319885 & -0.319885 \tabularnewline
61 & 0 & 0.0905546 & -0.0905546 \tabularnewline
62 & 1 & 0.456737 & 0.543263 \tabularnewline
63 & 1 & 0.365717 & 0.634283 \tabularnewline
64 & 0 & 0.220879 & -0.220879 \tabularnewline
65 & 1 & 0.341327 & 0.658673 \tabularnewline
66 & 0 & 0.332309 & -0.332309 \tabularnewline
67 & 1 & 0.408197 & 0.591803 \tabularnewline
68 & 0 & 0.198323 & -0.198323 \tabularnewline
69 & 0 & 0.644561 & -0.644561 \tabularnewline
70 & 1 & 0.383023 & 0.616977 \tabularnewline
71 & 1 & 0.35458 & 0.64542 \tabularnewline
72 & 1 & 0.544299 & 0.455701 \tabularnewline
73 & 1 & 0.255524 & 0.744476 \tabularnewline
74 & 0 & 0.287464 & -0.287464 \tabularnewline
75 & 1 & 0.533442 & 0.466558 \tabularnewline
76 & 0 & 0.372796 & -0.372796 \tabularnewline
77 & 1 & 0.27141 & 0.72859 \tabularnewline
78 & 0 & 0.212217 & -0.212217 \tabularnewline
79 & 1 & 0.313337 & 0.686663 \tabularnewline
80 & 1 & 0.514255 & 0.485745 \tabularnewline
81 & 0 & 0.285926 & -0.285926 \tabularnewline
82 & 1 & 0.27916 & 0.72084 \tabularnewline
83 & 1 & 0.66317 & 0.33683 \tabularnewline
84 & 1 & 0.385267 & 0.614733 \tabularnewline
85 & 0 & 0.429121 & -0.429121 \tabularnewline
86 & 1 & 0.87059 & 0.12941 \tabularnewline
87 & 0 & 0.434948 & -0.434948 \tabularnewline
88 & 0 & 0.237916 & -0.237916 \tabularnewline
89 & 1 & 0.413384 & 0.586616 \tabularnewline
90 & 1 & 0.278095 & 0.721905 \tabularnewline
91 & 1 & 0.742081 & 0.257919 \tabularnewline
92 & 0 & 0.505626 & -0.505626 \tabularnewline
93 & 0 & 0.356112 & -0.356112 \tabularnewline
94 & 0 & 0.546475 & -0.546475 \tabularnewline
95 & 1 & 0.298846 & 0.701154 \tabularnewline
96 & 0 & 0.505937 & -0.505937 \tabularnewline
97 & 1 & 0.593213 & 0.406787 \tabularnewline
98 & 0 & 0.256777 & -0.256777 \tabularnewline
99 & 0 & 0.0986707 & -0.0986707 \tabularnewline
100 & 0 & 0.328001 & -0.328001 \tabularnewline
101 & 0 & 0.34473 & -0.34473 \tabularnewline
102 & 0 & 0.253128 & -0.253128 \tabularnewline
103 & 1 & 0.452669 & 0.547331 \tabularnewline
104 & 0 & 0.831023 & -0.831023 \tabularnewline
105 & 0 & 0.447419 & -0.447419 \tabularnewline
106 & 0 & 0.358228 & -0.358228 \tabularnewline
107 & 1 & 0.668824 & 0.331176 \tabularnewline
108 & 1 & 0.932519 & 0.067481 \tabularnewline
109 & 1 & 0.817583 & 0.182417 \tabularnewline
110 & 1 & 0.553667 & 0.446333 \tabularnewline
111 & 1 & 0.553835 & 0.446165 \tabularnewline
112 & 1 & 0.544299 & 0.455701 \tabularnewline
113 & 0 & 0.613345 & -0.613345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&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]1[/C][C]0.487033[/C][C]0.512967[/C][/ROW]
[ROW][C]2[/C][C]0[/C][C]0.232968[/C][C]-0.232968[/C][/ROW]
[ROW][C]3[/C][C]1[/C][C]0.385814[/C][C]0.614186[/C][/ROW]
[ROW][C]4[/C][C]0[/C][C]0.372172[/C][C]-0.372172[/C][/ROW]
[ROW][C]5[/C][C]0[/C][C]0.292127[/C][C]-0.292127[/C][/ROW]
[ROW][C]6[/C][C]0[/C][C]0.620927[/C][C]-0.620927[/C][/ROW]
[ROW][C]7[/C][C]1[/C][C]0.210964[/C][C]0.789036[/C][/ROW]
[ROW][C]8[/C][C]0[/C][C]0.154778[/C][C]-0.154778[/C][/ROW]
[ROW][C]9[/C][C]0[/C][C]0.282434[/C][C]-0.282434[/C][/ROW]
[ROW][C]10[/C][C]0[/C][C]0.616214[/C][C]-0.616214[/C][/ROW]
[ROW][C]11[/C][C]0[/C][C]0.55514[/C][C]-0.55514[/C][/ROW]
[ROW][C]12[/C][C]0[/C][C]0.340074[/C][C]-0.340074[/C][/ROW]
[ROW][C]13[/C][C]0[/C][C]0.146879[/C][C]-0.146879[/C][/ROW]
[ROW][C]14[/C][C]1[/C][C]0.594205[/C][C]0.405795[/C][/ROW]
[ROW][C]15[/C][C]1[/C][C]0.512359[/C][C]0.487641[/C][/ROW]
[ROW][C]16[/C][C]1[/C][C]0.712152[/C][C]0.287848[/C][/ROW]
[ROW][C]17[/C][C]0[/C][C]0.174449[/C][C]-0.174449[/C][/ROW]
[ROW][C]18[/C][C]1[/C][C]0.65419[/C][C]0.34581[/C][/ROW]
[ROW][C]19[/C][C]0[/C][C]0.450518[/C][C]-0.450518[/C][/ROW]
[ROW][C]20[/C][C]1[/C][C]0.528867[/C][C]0.471133[/C][/ROW]
[ROW][C]21[/C][C]0[/C][C]0.633489[/C][C]-0.633489[/C][/ROW]
[ROW][C]22[/C][C]0[/C][C]0.412392[/C][C]-0.412392[/C][/ROW]
[ROW][C]23[/C][C]1[/C][C]0.54212[/C][C]0.45788[/C][/ROW]
[ROW][C]24[/C][C]0[/C][C]0.282168[/C][C]-0.282168[/C][/ROW]
[ROW][C]25[/C][C]0[/C][C]0.129839[/C][C]-0.129839[/C][/ROW]
[ROW][C]26[/C][C]0[/C][C]0.716062[/C][C]-0.716062[/C][/ROW]
[ROW][C]27[/C][C]0[/C][C]0.135115[/C][C]-0.135115[/C][/ROW]
[ROW][C]28[/C][C]1[/C][C]0.399757[/C][C]0.600243[/C][/ROW]
[ROW][C]29[/C][C]0[/C][C]0.381459[/C][C]-0.381459[/C][/ROW]
[ROW][C]30[/C][C]1[/C][C]0.514289[/C][C]0.485711[/C][/ROW]
[ROW][C]31[/C][C]1[/C][C]0.801194[/C][C]0.198806[/C][/ROW]
[ROW][C]32[/C][C]1[/C][C]0.341327[/C][C]0.658673[/C][/ROW]
[ROW][C]33[/C][C]0[/C][C]0.318632[/C][C]-0.318632[/C][/ROW]
[ROW][C]34[/C][C]0[/C][C]0.365421[/C][C]-0.365421[/C][/ROW]
[ROW][C]35[/C][C]0[/C][C]0.542356[/C][C]-0.542356[/C][/ROW]
[ROW][C]36[/C][C]0[/C][C]0.249932[/C][C]-0.249932[/C][/ROW]
[ROW][C]37[/C][C]1[/C][C]0.78417[/C][C]0.21583[/C][/ROW]
[ROW][C]38[/C][C]0[/C][C]0.322093[/C][C]-0.322093[/C][/ROW]
[ROW][C]39[/C][C]0[/C][C]0.269482[/C][C]-0.269482[/C][/ROW]
[ROW][C]40[/C][C]1[/C][C]0.336614[/C][C]0.663386[/C][/ROW]
[ROW][C]41[/C][C]0[/C][C]0.375898[/C][C]-0.375898[/C][/ROW]
[ROW][C]42[/C][C]0[/C][C]0.215002[/C][C]-0.215002[/C][/ROW]
[ROW][C]43[/C][C]0[/C][C]0.241581[/C][C]-0.241581[/C][/ROW]
[ROW][C]44[/C][C]0[/C][C]0.283656[/C][C]-0.283656[/C][/ROW]
[ROW][C]45[/C][C]0[/C][C]0.572807[/C][C]-0.572807[/C][/ROW]
[ROW][C]46[/C][C]1[/C][C]0.171679[/C][C]0.828321[/C][/ROW]
[ROW][C]47[/C][C]0[/C][C]0.462989[/C][C]-0.462989[/C][/ROW]
[ROW][C]48[/C][C]0[/C][C]0.156248[/C][C]-0.156248[/C][/ROW]
[ROW][C]49[/C][C]1[/C][C]0.761067[/C][C]0.238933[/C][/ROW]
[ROW][C]50[/C][C]0[/C][C]0.461987[/C][C]-0.461987[/C][/ROW]
[ROW][C]51[/C][C]0[/C][C]0.0262087[/C][C]-0.0262087[/C][/ROW]
[ROW][C]52[/C][C]0[/C][C]0.374957[/C][C]-0.374957[/C][/ROW]
[ROW][C]53[/C][C]0[/C][C]0.237385[/C][C]-0.237385[/C][/ROW]
[ROW][C]54[/C][C]0[/C][C]0.260425[/C][C]-0.260425[/C][/ROW]
[ROW][C]55[/C][C]0[/C][C]0.226701[/C][C]-0.226701[/C][/ROW]
[ROW][C]56[/C][C]0[/C][C]0.0274613[/C][C]-0.0274613[/C][/ROW]
[ROW][C]57[/C][C]1[/C][C]0.511187[/C][C]0.488813[/C][/ROW]
[ROW][C]58[/C][C]0[/C][C]0.753613[/C][C]-0.753613[/C][/ROW]
[ROW][C]59[/C][C]1[/C][C]0.775557[/C][C]0.224443[/C][/ROW]
[ROW][C]60[/C][C]0[/C][C]0.319885[/C][C]-0.319885[/C][/ROW]
[ROW][C]61[/C][C]0[/C][C]0.0905546[/C][C]-0.0905546[/C][/ROW]
[ROW][C]62[/C][C]1[/C][C]0.456737[/C][C]0.543263[/C][/ROW]
[ROW][C]63[/C][C]1[/C][C]0.365717[/C][C]0.634283[/C][/ROW]
[ROW][C]64[/C][C]0[/C][C]0.220879[/C][C]-0.220879[/C][/ROW]
[ROW][C]65[/C][C]1[/C][C]0.341327[/C][C]0.658673[/C][/ROW]
[ROW][C]66[/C][C]0[/C][C]0.332309[/C][C]-0.332309[/C][/ROW]
[ROW][C]67[/C][C]1[/C][C]0.408197[/C][C]0.591803[/C][/ROW]
[ROW][C]68[/C][C]0[/C][C]0.198323[/C][C]-0.198323[/C][/ROW]
[ROW][C]69[/C][C]0[/C][C]0.644561[/C][C]-0.644561[/C][/ROW]
[ROW][C]70[/C][C]1[/C][C]0.383023[/C][C]0.616977[/C][/ROW]
[ROW][C]71[/C][C]1[/C][C]0.35458[/C][C]0.64542[/C][/ROW]
[ROW][C]72[/C][C]1[/C][C]0.544299[/C][C]0.455701[/C][/ROW]
[ROW][C]73[/C][C]1[/C][C]0.255524[/C][C]0.744476[/C][/ROW]
[ROW][C]74[/C][C]0[/C][C]0.287464[/C][C]-0.287464[/C][/ROW]
[ROW][C]75[/C][C]1[/C][C]0.533442[/C][C]0.466558[/C][/ROW]
[ROW][C]76[/C][C]0[/C][C]0.372796[/C][C]-0.372796[/C][/ROW]
[ROW][C]77[/C][C]1[/C][C]0.27141[/C][C]0.72859[/C][/ROW]
[ROW][C]78[/C][C]0[/C][C]0.212217[/C][C]-0.212217[/C][/ROW]
[ROW][C]79[/C][C]1[/C][C]0.313337[/C][C]0.686663[/C][/ROW]
[ROW][C]80[/C][C]1[/C][C]0.514255[/C][C]0.485745[/C][/ROW]
[ROW][C]81[/C][C]0[/C][C]0.285926[/C][C]-0.285926[/C][/ROW]
[ROW][C]82[/C][C]1[/C][C]0.27916[/C][C]0.72084[/C][/ROW]
[ROW][C]83[/C][C]1[/C][C]0.66317[/C][C]0.33683[/C][/ROW]
[ROW][C]84[/C][C]1[/C][C]0.385267[/C][C]0.614733[/C][/ROW]
[ROW][C]85[/C][C]0[/C][C]0.429121[/C][C]-0.429121[/C][/ROW]
[ROW][C]86[/C][C]1[/C][C]0.87059[/C][C]0.12941[/C][/ROW]
[ROW][C]87[/C][C]0[/C][C]0.434948[/C][C]-0.434948[/C][/ROW]
[ROW][C]88[/C][C]0[/C][C]0.237916[/C][C]-0.237916[/C][/ROW]
[ROW][C]89[/C][C]1[/C][C]0.413384[/C][C]0.586616[/C][/ROW]
[ROW][C]90[/C][C]1[/C][C]0.278095[/C][C]0.721905[/C][/ROW]
[ROW][C]91[/C][C]1[/C][C]0.742081[/C][C]0.257919[/C][/ROW]
[ROW][C]92[/C][C]0[/C][C]0.505626[/C][C]-0.505626[/C][/ROW]
[ROW][C]93[/C][C]0[/C][C]0.356112[/C][C]-0.356112[/C][/ROW]
[ROW][C]94[/C][C]0[/C][C]0.546475[/C][C]-0.546475[/C][/ROW]
[ROW][C]95[/C][C]1[/C][C]0.298846[/C][C]0.701154[/C][/ROW]
[ROW][C]96[/C][C]0[/C][C]0.505937[/C][C]-0.505937[/C][/ROW]
[ROW][C]97[/C][C]1[/C][C]0.593213[/C][C]0.406787[/C][/ROW]
[ROW][C]98[/C][C]0[/C][C]0.256777[/C][C]-0.256777[/C][/ROW]
[ROW][C]99[/C][C]0[/C][C]0.0986707[/C][C]-0.0986707[/C][/ROW]
[ROW][C]100[/C][C]0[/C][C]0.328001[/C][C]-0.328001[/C][/ROW]
[ROW][C]101[/C][C]0[/C][C]0.34473[/C][C]-0.34473[/C][/ROW]
[ROW][C]102[/C][C]0[/C][C]0.253128[/C][C]-0.253128[/C][/ROW]
[ROW][C]103[/C][C]1[/C][C]0.452669[/C][C]0.547331[/C][/ROW]
[ROW][C]104[/C][C]0[/C][C]0.831023[/C][C]-0.831023[/C][/ROW]
[ROW][C]105[/C][C]0[/C][C]0.447419[/C][C]-0.447419[/C][/ROW]
[ROW][C]106[/C][C]0[/C][C]0.358228[/C][C]-0.358228[/C][/ROW]
[ROW][C]107[/C][C]1[/C][C]0.668824[/C][C]0.331176[/C][/ROW]
[ROW][C]108[/C][C]1[/C][C]0.932519[/C][C]0.067481[/C][/ROW]
[ROW][C]109[/C][C]1[/C][C]0.817583[/C][C]0.182417[/C][/ROW]
[ROW][C]110[/C][C]1[/C][C]0.553667[/C][C]0.446333[/C][/ROW]
[ROW][C]111[/C][C]1[/C][C]0.553835[/C][C]0.446165[/C][/ROW]
[ROW][C]112[/C][C]1[/C][C]0.544299[/C][C]0.455701[/C][/ROW]
[ROW][C]113[/C][C]0[/C][C]0.613345[/C][C]-0.613345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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
110.4870330.512967
200.232968-0.232968
310.3858140.614186
400.372172-0.372172
500.292127-0.292127
600.620927-0.620927
710.2109640.789036
800.154778-0.154778
900.282434-0.282434
1000.616214-0.616214
1100.55514-0.55514
1200.340074-0.340074
1300.146879-0.146879
1410.5942050.405795
1510.5123590.487641
1610.7121520.287848
1700.174449-0.174449
1810.654190.34581
1900.450518-0.450518
2010.5288670.471133
2100.633489-0.633489
2200.412392-0.412392
2310.542120.45788
2400.282168-0.282168
2500.129839-0.129839
2600.716062-0.716062
2700.135115-0.135115
2810.3997570.600243
2900.381459-0.381459
3010.5142890.485711
3110.8011940.198806
3210.3413270.658673
3300.318632-0.318632
3400.365421-0.365421
3500.542356-0.542356
3600.249932-0.249932
3710.784170.21583
3800.322093-0.322093
3900.269482-0.269482
4010.3366140.663386
4100.375898-0.375898
4200.215002-0.215002
4300.241581-0.241581
4400.283656-0.283656
4500.572807-0.572807
4610.1716790.828321
4700.462989-0.462989
4800.156248-0.156248
4910.7610670.238933
5000.461987-0.461987
5100.0262087-0.0262087
5200.374957-0.374957
5300.237385-0.237385
5400.260425-0.260425
5500.226701-0.226701
5600.0274613-0.0274613
5710.5111870.488813
5800.753613-0.753613
5910.7755570.224443
6000.319885-0.319885
6100.0905546-0.0905546
6210.4567370.543263
6310.3657170.634283
6400.220879-0.220879
6510.3413270.658673
6600.332309-0.332309
6710.4081970.591803
6800.198323-0.198323
6900.644561-0.644561
7010.3830230.616977
7110.354580.64542
7210.5442990.455701
7310.2555240.744476
7400.287464-0.287464
7510.5334420.466558
7600.372796-0.372796
7710.271410.72859
7800.212217-0.212217
7910.3133370.686663
8010.5142550.485745
8100.285926-0.285926
8210.279160.72084
8310.663170.33683
8410.3852670.614733
8500.429121-0.429121
8610.870590.12941
8700.434948-0.434948
8800.237916-0.237916
8910.4133840.586616
9010.2780950.721905
9110.7420810.257919
9200.505626-0.505626
9300.356112-0.356112
9400.546475-0.546475
9510.2988460.701154
9600.505937-0.505937
9710.5932130.406787
9800.256777-0.256777
9900.0986707-0.0986707
10000.328001-0.328001
10100.34473-0.34473
10200.253128-0.253128
10310.4526690.547331
10400.831023-0.831023
10500.447419-0.447419
10600.358228-0.358228
10710.6688240.331176
10810.9325190.067481
10910.8175830.182417
11010.5536670.446333
11110.5538350.446165
11210.5442990.455701
11300.613345-0.613345







Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.1722290.3444570.827771
120.5687830.8624330.431217
130.481190.962380.51881
140.4915290.9830580.508471
150.4603660.9207330.539634
160.3664110.7328210.633589
170.270570.5411390.72943
180.2254880.4509760.774512
190.1771510.3543010.822849
200.1463440.2926890.853656
210.4114250.8228490.588575
220.3880210.7760410.611979
230.479730.9594610.52027
240.4091280.8182550.590872
250.3883080.7766170.611692
260.3830110.7660210.616989
270.3177920.6355850.682208
280.330290.660580.66971
290.4275690.8551380.572431
300.4053490.8106970.594651
310.3446180.6892370.655382
320.3980070.7960130.601993
330.4000170.8000340.599983
340.4369150.8738290.563085
350.4855290.9710590.514471
360.4385280.8770560.561472
370.4861170.9722340.513883
380.4525930.9051870.547407
390.4044760.8089520.595524
400.4512710.9025420.548729
410.4334650.8669290.566535
420.3881180.7762360.611882
430.3440140.6880280.655986
440.3099160.6198310.690084
450.3330450.666090.666955
460.4741150.9482290.525885
470.4659230.9318470.534077
480.4148350.829670.585165
490.3722240.7444490.627776
500.3546860.7093710.645314
510.3057790.6115590.694221
520.2905270.5810540.709473
530.2571380.5142770.742862
540.2281890.4563790.771811
550.2026740.4053490.797326
560.1678240.3356470.832176
570.17810.3561990.8219
580.223070.4461390.77693
590.2097970.4195950.790203
600.1846880.3693760.815312
610.1549370.3098740.845063
620.1697370.3394750.830263
630.1963490.3926970.803651
640.1719770.3439530.828023
650.2027650.405530.797235
660.1833310.3666620.816669
670.2082780.4165570.791722
680.1805750.361150.819425
690.2207950.4415890.779205
700.2404590.4809190.759541
710.2836830.5673650.716317
720.2696380.5392750.730362
730.3257050.6514090.674295
740.2926010.5852010.707399
750.2743240.5486470.725676
760.2548440.5096890.745156
770.3110960.6221910.688904
780.2768220.5536440.723178
790.3199420.6398850.680058
800.3954540.7909080.604546
810.3524190.7048380.647581
820.4557280.9114560.544272
830.4302920.8605830.569708
840.4542990.9085980.545701
850.4236550.8473090.576345
860.3690650.7381310.630935
870.3815380.7630760.618462
880.3160640.6321280.683936
890.3493350.6986690.650665
900.350220.7004410.64978
910.3015840.6031680.698416
920.4732230.9464470.526777
930.4217130.8434270.578287
940.3787240.7574470.621276
950.555980.888040.44402
960.4677410.9354820.532259
970.4451240.8902480.554876
980.3859860.7719710.614014
990.2879980.5759960.712002
1000.2023440.4046880.797656
1010.1472150.2944290.852785
1020.1626360.3252720.837364

\begin{tabular}{lllllllll}
\hline
Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
p-values & Alternative Hypothesis \tabularnewline
breakpoint index & greater & 2-sided & less \tabularnewline
11 & 0.172229 & 0.344457 & 0.827771 \tabularnewline
12 & 0.568783 & 0.862433 & 0.431217 \tabularnewline
13 & 0.48119 & 0.96238 & 0.51881 \tabularnewline
14 & 0.491529 & 0.983058 & 0.508471 \tabularnewline
15 & 0.460366 & 0.920733 & 0.539634 \tabularnewline
16 & 0.366411 & 0.732821 & 0.633589 \tabularnewline
17 & 0.27057 & 0.541139 & 0.72943 \tabularnewline
18 & 0.225488 & 0.450976 & 0.774512 \tabularnewline
19 & 0.177151 & 0.354301 & 0.822849 \tabularnewline
20 & 0.146344 & 0.292689 & 0.853656 \tabularnewline
21 & 0.411425 & 0.822849 & 0.588575 \tabularnewline
22 & 0.388021 & 0.776041 & 0.611979 \tabularnewline
23 & 0.47973 & 0.959461 & 0.52027 \tabularnewline
24 & 0.409128 & 0.818255 & 0.590872 \tabularnewline
25 & 0.388308 & 0.776617 & 0.611692 \tabularnewline
26 & 0.383011 & 0.766021 & 0.616989 \tabularnewline
27 & 0.317792 & 0.635585 & 0.682208 \tabularnewline
28 & 0.33029 & 0.66058 & 0.66971 \tabularnewline
29 & 0.427569 & 0.855138 & 0.572431 \tabularnewline
30 & 0.405349 & 0.810697 & 0.594651 \tabularnewline
31 & 0.344618 & 0.689237 & 0.655382 \tabularnewline
32 & 0.398007 & 0.796013 & 0.601993 \tabularnewline
33 & 0.400017 & 0.800034 & 0.599983 \tabularnewline
34 & 0.436915 & 0.873829 & 0.563085 \tabularnewline
35 & 0.485529 & 0.971059 & 0.514471 \tabularnewline
36 & 0.438528 & 0.877056 & 0.561472 \tabularnewline
37 & 0.486117 & 0.972234 & 0.513883 \tabularnewline
38 & 0.452593 & 0.905187 & 0.547407 \tabularnewline
39 & 0.404476 & 0.808952 & 0.595524 \tabularnewline
40 & 0.451271 & 0.902542 & 0.548729 \tabularnewline
41 & 0.433465 & 0.866929 & 0.566535 \tabularnewline
42 & 0.388118 & 0.776236 & 0.611882 \tabularnewline
43 & 0.344014 & 0.688028 & 0.655986 \tabularnewline
44 & 0.309916 & 0.619831 & 0.690084 \tabularnewline
45 & 0.333045 & 0.66609 & 0.666955 \tabularnewline
46 & 0.474115 & 0.948229 & 0.525885 \tabularnewline
47 & 0.465923 & 0.931847 & 0.534077 \tabularnewline
48 & 0.414835 & 0.82967 & 0.585165 \tabularnewline
49 & 0.372224 & 0.744449 & 0.627776 \tabularnewline
50 & 0.354686 & 0.709371 & 0.645314 \tabularnewline
51 & 0.305779 & 0.611559 & 0.694221 \tabularnewline
52 & 0.290527 & 0.581054 & 0.709473 \tabularnewline
53 & 0.257138 & 0.514277 & 0.742862 \tabularnewline
54 & 0.228189 & 0.456379 & 0.771811 \tabularnewline
55 & 0.202674 & 0.405349 & 0.797326 \tabularnewline
56 & 0.167824 & 0.335647 & 0.832176 \tabularnewline
57 & 0.1781 & 0.356199 & 0.8219 \tabularnewline
58 & 0.22307 & 0.446139 & 0.77693 \tabularnewline
59 & 0.209797 & 0.419595 & 0.790203 \tabularnewline
60 & 0.184688 & 0.369376 & 0.815312 \tabularnewline
61 & 0.154937 & 0.309874 & 0.845063 \tabularnewline
62 & 0.169737 & 0.339475 & 0.830263 \tabularnewline
63 & 0.196349 & 0.392697 & 0.803651 \tabularnewline
64 & 0.171977 & 0.343953 & 0.828023 \tabularnewline
65 & 0.202765 & 0.40553 & 0.797235 \tabularnewline
66 & 0.183331 & 0.366662 & 0.816669 \tabularnewline
67 & 0.208278 & 0.416557 & 0.791722 \tabularnewline
68 & 0.180575 & 0.36115 & 0.819425 \tabularnewline
69 & 0.220795 & 0.441589 & 0.779205 \tabularnewline
70 & 0.240459 & 0.480919 & 0.759541 \tabularnewline
71 & 0.283683 & 0.567365 & 0.716317 \tabularnewline
72 & 0.269638 & 0.539275 & 0.730362 \tabularnewline
73 & 0.325705 & 0.651409 & 0.674295 \tabularnewline
74 & 0.292601 & 0.585201 & 0.707399 \tabularnewline
75 & 0.274324 & 0.548647 & 0.725676 \tabularnewline
76 & 0.254844 & 0.509689 & 0.745156 \tabularnewline
77 & 0.311096 & 0.622191 & 0.688904 \tabularnewline
78 & 0.276822 & 0.553644 & 0.723178 \tabularnewline
79 & 0.319942 & 0.639885 & 0.680058 \tabularnewline
80 & 0.395454 & 0.790908 & 0.604546 \tabularnewline
81 & 0.352419 & 0.704838 & 0.647581 \tabularnewline
82 & 0.455728 & 0.911456 & 0.544272 \tabularnewline
83 & 0.430292 & 0.860583 & 0.569708 \tabularnewline
84 & 0.454299 & 0.908598 & 0.545701 \tabularnewline
85 & 0.423655 & 0.847309 & 0.576345 \tabularnewline
86 & 0.369065 & 0.738131 & 0.630935 \tabularnewline
87 & 0.381538 & 0.763076 & 0.618462 \tabularnewline
88 & 0.316064 & 0.632128 & 0.683936 \tabularnewline
89 & 0.349335 & 0.698669 & 0.650665 \tabularnewline
90 & 0.35022 & 0.700441 & 0.64978 \tabularnewline
91 & 0.301584 & 0.603168 & 0.698416 \tabularnewline
92 & 0.473223 & 0.946447 & 0.526777 \tabularnewline
93 & 0.421713 & 0.843427 & 0.578287 \tabularnewline
94 & 0.378724 & 0.757447 & 0.621276 \tabularnewline
95 & 0.55598 & 0.88804 & 0.44402 \tabularnewline
96 & 0.467741 & 0.935482 & 0.532259 \tabularnewline
97 & 0.445124 & 0.890248 & 0.554876 \tabularnewline
98 & 0.385986 & 0.771971 & 0.614014 \tabularnewline
99 & 0.287998 & 0.575996 & 0.712002 \tabularnewline
100 & 0.202344 & 0.404688 & 0.797656 \tabularnewline
101 & 0.147215 & 0.294429 & 0.852785 \tabularnewline
102 & 0.162636 & 0.325272 & 0.837364 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&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]11[/C][C]0.172229[/C][C]0.344457[/C][C]0.827771[/C][/ROW]
[ROW][C]12[/C][C]0.568783[/C][C]0.862433[/C][C]0.431217[/C][/ROW]
[ROW][C]13[/C][C]0.48119[/C][C]0.96238[/C][C]0.51881[/C][/ROW]
[ROW][C]14[/C][C]0.491529[/C][C]0.983058[/C][C]0.508471[/C][/ROW]
[ROW][C]15[/C][C]0.460366[/C][C]0.920733[/C][C]0.539634[/C][/ROW]
[ROW][C]16[/C][C]0.366411[/C][C]0.732821[/C][C]0.633589[/C][/ROW]
[ROW][C]17[/C][C]0.27057[/C][C]0.541139[/C][C]0.72943[/C][/ROW]
[ROW][C]18[/C][C]0.225488[/C][C]0.450976[/C][C]0.774512[/C][/ROW]
[ROW][C]19[/C][C]0.177151[/C][C]0.354301[/C][C]0.822849[/C][/ROW]
[ROW][C]20[/C][C]0.146344[/C][C]0.292689[/C][C]0.853656[/C][/ROW]
[ROW][C]21[/C][C]0.411425[/C][C]0.822849[/C][C]0.588575[/C][/ROW]
[ROW][C]22[/C][C]0.388021[/C][C]0.776041[/C][C]0.611979[/C][/ROW]
[ROW][C]23[/C][C]0.47973[/C][C]0.959461[/C][C]0.52027[/C][/ROW]
[ROW][C]24[/C][C]0.409128[/C][C]0.818255[/C][C]0.590872[/C][/ROW]
[ROW][C]25[/C][C]0.388308[/C][C]0.776617[/C][C]0.611692[/C][/ROW]
[ROW][C]26[/C][C]0.383011[/C][C]0.766021[/C][C]0.616989[/C][/ROW]
[ROW][C]27[/C][C]0.317792[/C][C]0.635585[/C][C]0.682208[/C][/ROW]
[ROW][C]28[/C][C]0.33029[/C][C]0.66058[/C][C]0.66971[/C][/ROW]
[ROW][C]29[/C][C]0.427569[/C][C]0.855138[/C][C]0.572431[/C][/ROW]
[ROW][C]30[/C][C]0.405349[/C][C]0.810697[/C][C]0.594651[/C][/ROW]
[ROW][C]31[/C][C]0.344618[/C][C]0.689237[/C][C]0.655382[/C][/ROW]
[ROW][C]32[/C][C]0.398007[/C][C]0.796013[/C][C]0.601993[/C][/ROW]
[ROW][C]33[/C][C]0.400017[/C][C]0.800034[/C][C]0.599983[/C][/ROW]
[ROW][C]34[/C][C]0.436915[/C][C]0.873829[/C][C]0.563085[/C][/ROW]
[ROW][C]35[/C][C]0.485529[/C][C]0.971059[/C][C]0.514471[/C][/ROW]
[ROW][C]36[/C][C]0.438528[/C][C]0.877056[/C][C]0.561472[/C][/ROW]
[ROW][C]37[/C][C]0.486117[/C][C]0.972234[/C][C]0.513883[/C][/ROW]
[ROW][C]38[/C][C]0.452593[/C][C]0.905187[/C][C]0.547407[/C][/ROW]
[ROW][C]39[/C][C]0.404476[/C][C]0.808952[/C][C]0.595524[/C][/ROW]
[ROW][C]40[/C][C]0.451271[/C][C]0.902542[/C][C]0.548729[/C][/ROW]
[ROW][C]41[/C][C]0.433465[/C][C]0.866929[/C][C]0.566535[/C][/ROW]
[ROW][C]42[/C][C]0.388118[/C][C]0.776236[/C][C]0.611882[/C][/ROW]
[ROW][C]43[/C][C]0.344014[/C][C]0.688028[/C][C]0.655986[/C][/ROW]
[ROW][C]44[/C][C]0.309916[/C][C]0.619831[/C][C]0.690084[/C][/ROW]
[ROW][C]45[/C][C]0.333045[/C][C]0.66609[/C][C]0.666955[/C][/ROW]
[ROW][C]46[/C][C]0.474115[/C][C]0.948229[/C][C]0.525885[/C][/ROW]
[ROW][C]47[/C][C]0.465923[/C][C]0.931847[/C][C]0.534077[/C][/ROW]
[ROW][C]48[/C][C]0.414835[/C][C]0.82967[/C][C]0.585165[/C][/ROW]
[ROW][C]49[/C][C]0.372224[/C][C]0.744449[/C][C]0.627776[/C][/ROW]
[ROW][C]50[/C][C]0.354686[/C][C]0.709371[/C][C]0.645314[/C][/ROW]
[ROW][C]51[/C][C]0.305779[/C][C]0.611559[/C][C]0.694221[/C][/ROW]
[ROW][C]52[/C][C]0.290527[/C][C]0.581054[/C][C]0.709473[/C][/ROW]
[ROW][C]53[/C][C]0.257138[/C][C]0.514277[/C][C]0.742862[/C][/ROW]
[ROW][C]54[/C][C]0.228189[/C][C]0.456379[/C][C]0.771811[/C][/ROW]
[ROW][C]55[/C][C]0.202674[/C][C]0.405349[/C][C]0.797326[/C][/ROW]
[ROW][C]56[/C][C]0.167824[/C][C]0.335647[/C][C]0.832176[/C][/ROW]
[ROW][C]57[/C][C]0.1781[/C][C]0.356199[/C][C]0.8219[/C][/ROW]
[ROW][C]58[/C][C]0.22307[/C][C]0.446139[/C][C]0.77693[/C][/ROW]
[ROW][C]59[/C][C]0.209797[/C][C]0.419595[/C][C]0.790203[/C][/ROW]
[ROW][C]60[/C][C]0.184688[/C][C]0.369376[/C][C]0.815312[/C][/ROW]
[ROW][C]61[/C][C]0.154937[/C][C]0.309874[/C][C]0.845063[/C][/ROW]
[ROW][C]62[/C][C]0.169737[/C][C]0.339475[/C][C]0.830263[/C][/ROW]
[ROW][C]63[/C][C]0.196349[/C][C]0.392697[/C][C]0.803651[/C][/ROW]
[ROW][C]64[/C][C]0.171977[/C][C]0.343953[/C][C]0.828023[/C][/ROW]
[ROW][C]65[/C][C]0.202765[/C][C]0.40553[/C][C]0.797235[/C][/ROW]
[ROW][C]66[/C][C]0.183331[/C][C]0.366662[/C][C]0.816669[/C][/ROW]
[ROW][C]67[/C][C]0.208278[/C][C]0.416557[/C][C]0.791722[/C][/ROW]
[ROW][C]68[/C][C]0.180575[/C][C]0.36115[/C][C]0.819425[/C][/ROW]
[ROW][C]69[/C][C]0.220795[/C][C]0.441589[/C][C]0.779205[/C][/ROW]
[ROW][C]70[/C][C]0.240459[/C][C]0.480919[/C][C]0.759541[/C][/ROW]
[ROW][C]71[/C][C]0.283683[/C][C]0.567365[/C][C]0.716317[/C][/ROW]
[ROW][C]72[/C][C]0.269638[/C][C]0.539275[/C][C]0.730362[/C][/ROW]
[ROW][C]73[/C][C]0.325705[/C][C]0.651409[/C][C]0.674295[/C][/ROW]
[ROW][C]74[/C][C]0.292601[/C][C]0.585201[/C][C]0.707399[/C][/ROW]
[ROW][C]75[/C][C]0.274324[/C][C]0.548647[/C][C]0.725676[/C][/ROW]
[ROW][C]76[/C][C]0.254844[/C][C]0.509689[/C][C]0.745156[/C][/ROW]
[ROW][C]77[/C][C]0.311096[/C][C]0.622191[/C][C]0.688904[/C][/ROW]
[ROW][C]78[/C][C]0.276822[/C][C]0.553644[/C][C]0.723178[/C][/ROW]
[ROW][C]79[/C][C]0.319942[/C][C]0.639885[/C][C]0.680058[/C][/ROW]
[ROW][C]80[/C][C]0.395454[/C][C]0.790908[/C][C]0.604546[/C][/ROW]
[ROW][C]81[/C][C]0.352419[/C][C]0.704838[/C][C]0.647581[/C][/ROW]
[ROW][C]82[/C][C]0.455728[/C][C]0.911456[/C][C]0.544272[/C][/ROW]
[ROW][C]83[/C][C]0.430292[/C][C]0.860583[/C][C]0.569708[/C][/ROW]
[ROW][C]84[/C][C]0.454299[/C][C]0.908598[/C][C]0.545701[/C][/ROW]
[ROW][C]85[/C][C]0.423655[/C][C]0.847309[/C][C]0.576345[/C][/ROW]
[ROW][C]86[/C][C]0.369065[/C][C]0.738131[/C][C]0.630935[/C][/ROW]
[ROW][C]87[/C][C]0.381538[/C][C]0.763076[/C][C]0.618462[/C][/ROW]
[ROW][C]88[/C][C]0.316064[/C][C]0.632128[/C][C]0.683936[/C][/ROW]
[ROW][C]89[/C][C]0.349335[/C][C]0.698669[/C][C]0.650665[/C][/ROW]
[ROW][C]90[/C][C]0.35022[/C][C]0.700441[/C][C]0.64978[/C][/ROW]
[ROW][C]91[/C][C]0.301584[/C][C]0.603168[/C][C]0.698416[/C][/ROW]
[ROW][C]92[/C][C]0.473223[/C][C]0.946447[/C][C]0.526777[/C][/ROW]
[ROW][C]93[/C][C]0.421713[/C][C]0.843427[/C][C]0.578287[/C][/ROW]
[ROW][C]94[/C][C]0.378724[/C][C]0.757447[/C][C]0.621276[/C][/ROW]
[ROW][C]95[/C][C]0.55598[/C][C]0.88804[/C][C]0.44402[/C][/ROW]
[ROW][C]96[/C][C]0.467741[/C][C]0.935482[/C][C]0.532259[/C][/ROW]
[ROW][C]97[/C][C]0.445124[/C][C]0.890248[/C][C]0.554876[/C][/ROW]
[ROW][C]98[/C][C]0.385986[/C][C]0.771971[/C][C]0.614014[/C][/ROW]
[ROW][C]99[/C][C]0.287998[/C][C]0.575996[/C][C]0.712002[/C][/ROW]
[ROW][C]100[/C][C]0.202344[/C][C]0.404688[/C][C]0.797656[/C][/ROW]
[ROW][C]101[/C][C]0.147215[/C][C]0.294429[/C][C]0.852785[/C][/ROW]
[ROW][C]102[/C][C]0.162636[/C][C]0.325272[/C][C]0.837364[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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
110.1722290.3444570.827771
120.5687830.8624330.431217
130.481190.962380.51881
140.4915290.9830580.508471
150.4603660.9207330.539634
160.3664110.7328210.633589
170.270570.5411390.72943
180.2254880.4509760.774512
190.1771510.3543010.822849
200.1463440.2926890.853656
210.4114250.8228490.588575
220.3880210.7760410.611979
230.479730.9594610.52027
240.4091280.8182550.590872
250.3883080.7766170.611692
260.3830110.7660210.616989
270.3177920.6355850.682208
280.330290.660580.66971
290.4275690.8551380.572431
300.4053490.8106970.594651
310.3446180.6892370.655382
320.3980070.7960130.601993
330.4000170.8000340.599983
340.4369150.8738290.563085
350.4855290.9710590.514471
360.4385280.8770560.561472
370.4861170.9722340.513883
380.4525930.9051870.547407
390.4044760.8089520.595524
400.4512710.9025420.548729
410.4334650.8669290.566535
420.3881180.7762360.611882
430.3440140.6880280.655986
440.3099160.6198310.690084
450.3330450.666090.666955
460.4741150.9482290.525885
470.4659230.9318470.534077
480.4148350.829670.585165
490.3722240.7444490.627776
500.3546860.7093710.645314
510.3057790.6115590.694221
520.2905270.5810540.709473
530.2571380.5142770.742862
540.2281890.4563790.771811
550.2026740.4053490.797326
560.1678240.3356470.832176
570.17810.3561990.8219
580.223070.4461390.77693
590.2097970.4195950.790203
600.1846880.3693760.815312
610.1549370.3098740.845063
620.1697370.3394750.830263
630.1963490.3926970.803651
640.1719770.3439530.828023
650.2027650.405530.797235
660.1833310.3666620.816669
670.2082780.4165570.791722
680.1805750.361150.819425
690.2207950.4415890.779205
700.2404590.4809190.759541
710.2836830.5673650.716317
720.2696380.5392750.730362
730.3257050.6514090.674295
740.2926010.5852010.707399
750.2743240.5486470.725676
760.2548440.5096890.745156
770.3110960.6221910.688904
780.2768220.5536440.723178
790.3199420.6398850.680058
800.3954540.7909080.604546
810.3524190.7048380.647581
820.4557280.9114560.544272
830.4302920.8605830.569708
840.4542990.9085980.545701
850.4236550.8473090.576345
860.3690650.7381310.630935
870.3815380.7630760.618462
880.3160640.6321280.683936
890.3493350.6986690.650665
900.350220.7004410.64978
910.3015840.6031680.698416
920.4732230.9464470.526777
930.4217130.8434270.578287
940.3787240.7574470.621276
950.555980.888040.44402
960.4677410.9354820.532259
970.4451240.8902480.554876
980.3859860.7719710.614014
990.2879980.5759960.712002
1000.2023440.4046880.797656
1010.1472150.2944290.852785
1020.1626360.3252720.837364







Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK

\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 & 0 & 0 & OK \tabularnewline
10% type I error level & 0 & 0 & OK \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263947&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]0[/C][C]0[/C][C]OK[/C][/ROW]
[ROW][C]10% type I error level[/C][C]0[/C][C]0[/C][C]OK[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263947&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263947&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 level00OK
5% type I error level00OK
10% type I error level00OK



Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- 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'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
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[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
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$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,signif(mysum$coefficients[i,1],6))
a<-table.element(a, signif(mysum$coefficients[i,2],6))
a<-table.element(a, signif(mysum$coefficients[i,3],4))
a<-table.element(a, signif(mysum$coefficients[i,4],6))
a<-table.element(a, signif(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, signif(sqrt(mysum$r.squared),6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, signif(mysum$r.squared,6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, signif(mysum$adj.r.squared,6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[1],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, signif(mysum$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$fstatistic[3],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6))
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, signif(mysum$sigma,6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, signif(sum(myerror*myerror),6))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,signif(x[i],6))
a<-table.element(a,signif(x[i]-mysum$resid[i],6))
a<-table.element(a,signif(mysum$resid[i],6))
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,signif(gqarr[mypoint-kp3+1,1],6))
a<-table.element(a,signif(gqarr[mypoint-kp3+1,2],6))
a<-table.element(a,signif(gqarr[mypoint-kp3+1,3],6))
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,signif(numsignificant1/numgqtests,6))
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')
}