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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 20:13:55 -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/t12014905442lha9wz6uzc9qjy.htm/, Retrieved Wed, 15 May 2024 22:27:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8067, Retrieved Wed, 15 May 2024 22:27:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact268
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [HSI vs HKEX] [2008-01-28 03:13:55] [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:
188.1
176.7
169
156.4
173.7
184.4
179.6
171.8
184.9
191.6
204.4
209
214.4
209.6
211.2
216
214
218.4
220.8
220.4
220.6
222
220.8
216.8
218.4
218.4
218.6
224.4
226.2
231.2
236.6
233.8
236
241.2
240.2
237.2
237.6




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-124.058295
Beta0.0124300.00057221.712069 H0: beta = 0
Elasticity1.5889040.0731818.047264 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-124.058295 & & & \tabularnewline Beta0.0124300.00057221.712069 H0: beta = 0 \tabularnewline Elasticity1.5889040.0731818.047264 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8067&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]
-124.058295[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.012430[/C]0.000572[/C]21.712069[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.588904[/C]0.073181[/C]8.047264[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8067&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8067&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-124.058295
Beta0.0124300.00057221.712069 H0: beta = 0
Elasticity1.5889040.0731818.047264 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000017447.33643417447.336434
Residual35.0000001295.37275537.010650
Total36.00000018742.709189520.630811
F-TEST471.413941

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000017447.33643417447.336434 \tabularnewline Residual35.0000001295.37275537.010650 \tabularnewline Total36.00000018742.709189520.630811 \tabularnewline F-TEST471.413941 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8067&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]17447.336434[/C]17447.336434[/C][/ROW] [ROW][C]Residual[/C]35.000000[/C]1295.372755[/C]37.010650[/C][/ROW] [ROW][C]Total[/C]36.000000[/C]18742.709189[/C]520.630811[/C][/ROW] [ROW][C]F-TEST[/C]471.413941[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8067&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8067&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
Regression1.00000017447.33643417447.336434
Residual35.0000001295.37275537.010650
Total36.00000018742.709189520.630811
F-TEST471.413941







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.831711
Von Neumann Ratio0.854814
rho - Least Squares0.586111
rho - Maximum Likelihood0.572700
rho - Serial Correlation0.588604
rho - Goldberger0.579367

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.831711 \tabularnewline Von Neumann Ratio0.854814 \tabularnewline rho - Least Squares0.586111 \tabularnewline rho - Maximum Likelihood0.572700 \tabularnewline rho - Serial Correlation0.588604 \tabularnewline rho - Goldberger0.579367 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8067&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.831711[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.854814[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.586111[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.572700[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.588604[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.579367[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8067&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8067&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-Watson0.831711
Von Neumann Ratio0.854814
rho - Least Squares0.586111
rho - Maximum Likelihood0.572700
rho - Serial Correlation0.588604
rho - Goldberger0.579367







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X26929.058108
Biased Variance X3.052195e+6
Biased S.E. X1747.053158
Mean Y210.659459
Biased Variance Y506.559708
Biased S.E. Y22.506881
Mean F210.659459
Biased Variance F471.549633
Biased S.E. F21.715194
Mean e0.000000
Biased Variance e35.010074
Biased S.E. e1.000144

\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 Y210.659459 \tabularnewline Biased Variance Y506.559708 \tabularnewline Biased S.E. Y22.506881 \tabularnewline Mean F210.659459 \tabularnewline Biased Variance F471.549633 \tabularnewline Biased S.E. F21.715194 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e35.010074 \tabularnewline Biased S.E. e1.000144 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8067&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]210.659459[/C][/ROW] [ROW][C]Biased Variance Y[/C]506.559708[/C][/ROW] [ROW][C]Biased S.E. Y[/C]22.506881[/C][/ROW] [ROW][C]Mean F[/C]210.659459[/C][/ROW] [ROW][C]Biased Variance F[/C]471.549633[/C][/ROW] [ROW][C]Biased S.E. F[/C]21.715194[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]35.010074[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.000144[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8067&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8067&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 Y210.659459
Biased Variance Y506.559708
Biased S.E. Y22.506881
Mean F210.659459
Biased Variance F471.549633
Biased S.E. F21.715194
Mean e0.000000
Biased Variance e35.010074
Biased S.E. e1.000144



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