Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 27 Jan 2008 20:01:16 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Jan/28/t1201489387ohh1yjtanhlfn3k.htm/, Retrieved Thu, 16 May 2024 01:33:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8066, Retrieved Thu, 16 May 2024 01:33:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact256
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [HKEX vs HSI] [2008-01-28 03:01:16] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
25122.37
23539.27
24090.17
21757.63
23818.86
25201.87
25114.98
24450.85
25837.78
26468.13
26867.01
27230.86
27615.85
27112.9
27179.49
27519.69
26887.28
27560.52
27812.65
27370.6
27842.93
28128.8
27626.92
27017.09
27029.26
26732.87
26596.58
27563.64
27744.45
28521.06
29226.84
28501.1
28842.47
29558.92
29345.45
28879.59
28658.42
Dataseries Y:
3.74
3.55
3.72
3.43
3.8
3.95
3.99
3.9
4.13
4.25
4.36
4.43
4.46
4.47
4.51
4.6
4.56
4.71
4.81
4.73
4.99
4.98
4.77
4.75
4.74
4.71
4.72
4.96
5.09
5.11
5.18
5.11
5.1
5.21
5.12
4.91
4.86




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-2.665496
Beta0.0002680.00001517.400663 H0: beta = 0
Elasticity1.5856150.0911246.426582 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

Parameter & Value & S.E. & T-STAT & Notes \tabularnewline

Constant
-2.665496 & & & \tabularnewline Beta0.0002680.00001517.400663 H0: beta = 0 \tabularnewline Elasticity1.5856150.0911246.426582 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8066&T=0

[TABLE]

[ROW][C]Simple Linear Regression - Ungrouped Data[/C][/ROW]

[ROW][C]Parameter[/C][C]Value[/C][C]S.E.[/C][C]T-STAT[/C][C]Notes[/C][/ROW]

[ROW][C]Constant[/C]
-2.665496[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.000268[/C]0.000015[/C]17.400663[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.585615[/C]0.091124[/C]6.426582[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8066&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8066&T=0

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-2.665496
Beta0.0002680.00001517.400663 H0: beta = 0
Elasticity1.5856150.0911246.426582 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000008.1114648.111464
Residual35.0000000.9376390.026790
Total36.0000009.0491030.251364
F-TEST302.783086

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

ANOVA & DF & Sum of Squares & Mean Square \tabularnewline

Regression
1.0000008.1114648.111464 \tabularnewline Residual35.0000000.9376390.026790 \tabularnewline Total36.0000009.0491030.251364 \tabularnewline F-TEST302.783086 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8066&T=1

[TABLE]

[ROW][C]Simple Linear Regression - Analysis of Variance[/C][/ROW]

[ROW][C]ANOVA[/C][C]DF[/C][C]Sum of Squares[/C][C]Mean Square[/C][/ROW]

[ROW][C]Regression[/C]
1.000000[/C]8.111464[/C]8.111464[/C][/ROW] [ROW][C]Residual[/C]35.000000[/C]0.937639[/C]0.026790[/C][/ROW] [ROW][C]Total[/C]36.000000[/C]9.049103[/C]0.251364[/C][/ROW] [ROW][C]F-TEST[/C]302.783086[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8066&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8066&T=1

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000008.1114648.111464
Residual35.0000000.9376390.026790
Total36.0000009.0491030.251364
F-TEST302.783086







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.517893
Von Neumann Ratio0.532279
rho - Least Squares0.688728
rho - Maximum Likelihood0.757688
rho - Serial Correlation0.689699
rho - Goldberger0.722386

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.517893 \tabularnewline Von Neumann Ratio0.532279 \tabularnewline rho - Least Squares0.688728 \tabularnewline rho - Maximum Likelihood0.757688 \tabularnewline rho - Serial Correlation0.689699 \tabularnewline rho - Goldberger0.722386 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8066&T=2

[TABLE]

[ROW][C]Simple Linear Regression - Autocorrelation[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Durbin-Watson[/C]
0.517893[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.532279[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.688728[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.757688[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.689699[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.722386[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8066&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8066&T=2

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.517893
Von Neumann Ratio0.532279
rho - Least Squares0.688728
rho - Maximum Likelihood0.757688
rho - Serial Correlation0.689699
rho - Goldberger0.722386







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X26929.058108
Biased Variance X3.052195e+6
Biased S.E. X1747.053158
Mean Y4.551622
Biased Variance Y0.244570
Biased S.E. Y0.494541
Mean F4.551622
Biased Variance F0.219229
Biased S.E. F0.468219
Mean e0.000000
Biased Variance e0.025342
Biased S.E. e0.026908

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
26929.058108 \tabularnewline Biased Variance X3.052195e+6 \tabularnewline Biased S.E. X1747.053158 \tabularnewline Mean Y4.551622 \tabularnewline Biased Variance Y0.244570 \tabularnewline Biased S.E. Y0.494541 \tabularnewline Mean F4.551622 \tabularnewline Biased Variance F0.219229 \tabularnewline Biased S.E. F0.468219 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.025342 \tabularnewline Biased S.E. e0.026908 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8066&T=3

[TABLE]

[ROW][C]Simple Linear Regression - Descriptive Statistics[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Mean X[/C]
26929.058108[/C][/ROW] [ROW][C]Biased Variance X[/C]3.052195e+6[/C][/ROW] [ROW][C]Biased S.E. X[/C]1747.053158[/C][/ROW] [ROW][C]Mean Y[/C]4.551622[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.244570[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.494541[/C][/ROW] [ROW][C]Mean F[/C]4.551622[/C][/ROW] [ROW][C]Biased Variance F[/C]0.219229[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.468219[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.025342[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.026908[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8066&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8066&T=3

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X26929.058108
Biased Variance X3.052195e+6
Biased S.E. X1747.053158
Mean Y4.551622
Biased Variance Y0.244570
Biased S.E. Y0.494541
Mean F4.551622
Biased Variance F0.219229
Biased S.E. F0.468219
Mean e0.000000
Biased Variance e0.025342
Biased S.E. e0.026908



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):