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R Software Module

slr.wasp

Title produced by software

Simple Regression

Date of computation

Thu, 11 Nov 2010 17:29:41 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/11/t12894964819txy0i6bq23fo98.htm/, Retrieved Thu, 18 Apr 2024 02:32:06 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93620, Retrieved Thu, 18 Apr 2024 02:32:06 +0000

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Estimated Impact

169

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Linear Regression Graphical Model Validation] [shwws4vr1] [2009-10-28 17:20:10] [2b2cfeea2f5ac2a1bcb842baaf1415ef]
- RMPD    [Simple Regression] [Enkelvoudige line...] [2010-11-11 17:29:41] [b6992a7b26e556359948e164e4227eba] [Current]

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Simple Linear Regression - Ungrouped Data
Parameter	Value	S.E.	T-STAT	Notes
Constant	94.973644
Beta	1.437741	0.102577	14.016145	H0: beta = 0
Elasticity	0.927454	0.066170	-1.096351	H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant

94.973644 & & & \tabularnewline Beta

1.437741

0.102577

14.016145

H0: beta = 0 \tabularnewline Elasticity

0.927454

0.066170

-1.096351

H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=93620&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]

94.973644[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]

1.437741[/C]

0.102577[/C]

14.016145[/C]

H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]

0.927454[/C]

0.066170[/C]

-1.096351[/C]

H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=93620&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93620&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
Parameter	Value	S.E.	T-STAT	Notes
Constant	94.973644
Beta	1.437741	0.102577	14.016145	H0: beta = 0
Elasticity	0.927454	0.066170	-1.096351	H0: elast. = 1

Simple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	1.000000	3.71711e+6	3.71711e+6
Residual	137.000000	2.59220e+6	18921.175082
Total	138.000000	6.30931e+6	45719.636430
F-TEST	196.452325

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression

1.000000

3.71711e+6

3.71711e+6 \tabularnewline Residual

137.000000

2.59220e+6

18921.175082 \tabularnewline Total

138.000000

6.30931e+6

45719.636430 \tabularnewline F-TEST

196.452325 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=93620&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]

3.71711e+6[/C]

3.71711e+6[/C][/ROW] [ROW][C]Residual[/C]

137.000000[/C]

2.59220e+6[/C]

18921.175082[/C][/ROW] [ROW][C]Total[/C]

138.000000[/C]

6.30931e+6[/C]

45719.636430[/C][/ROW] [ROW][C]F-TEST[/C]

196.452325[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=93620&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93620&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
ANOVA	DF	Sum of Squares	Mean Square
Regression	1.000000	3.71711e+6	3.71711e+6
Residual	137.000000	2.59220e+6	18921.175082
Total	138.000000	6.30931e+6	45719.636430
F-TEST	196.452325

Simple Linear Regression - Autocorrelation
Statistic	Value
Durbin-Watson	2.172046
Von Neumann Ratio	2.187786
rho - Least Squares	-0.102217
rho - Maximum Likelihood	-0.105528
rho - Serial Correlation	-0.102910
rho - Goldberger	-0.103859

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson

2.172046 \tabularnewline Von Neumann Ratio

2.187786 \tabularnewline rho - Least Squares

-0.102217 \tabularnewline rho - Maximum Likelihood

-0.105528 \tabularnewline rho - Serial Correlation

-0.102910 \tabularnewline rho - Goldberger

-0.103859 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=93620&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]

2.172046[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]

2.187786[/C][/ROW] [ROW][C]rho - Least Squares[/C]

-0.102217[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]

-0.105528[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]

-0.102910[/C][/ROW] [ROW][C]rho - Goldberger[/C]

-0.103859[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=93620&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93620&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
Statistic	Value
Durbin-Watson	2.172046
Von Neumann Ratio	2.187786
rho - Least Squares	-0.102217
rho - Maximum Likelihood	-0.105528
rho - Serial Correlation	-0.102910
rho - Goldberger	-0.103859

Simple Linear Regression - Descriptive Statistics
Statistic	Value
Mean X	844.503597
Biased Variance X	12936.868692
Biased S.E. X	113.740356
Mean Y	1309.151079
Biased Variance Y	45390.718182
Biased S.E. Y	213.050976
Mean F	1309.151079
Biased Variance F	26741.790224
Biased S.E. F	163.529172
Mean e	0.000000
Biased Variance e	18648.927958
Biased S.E. e	11.667200

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X

844.503597 \tabularnewline Biased Variance X

12936.868692 \tabularnewline Biased S.E. X

113.740356 \tabularnewline Mean Y

1309.151079 \tabularnewline Biased Variance Y

45390.718182 \tabularnewline Biased S.E. Y

213.050976 \tabularnewline Mean F

1309.151079 \tabularnewline Biased Variance F

26741.790224 \tabularnewline Biased S.E. F

163.529172 \tabularnewline Mean e

0.000000 \tabularnewline Biased Variance e

18648.927958 \tabularnewline Biased S.E. e

11.667200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=93620&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]

844.503597[/C][/ROW] [ROW][C]Biased Variance X[/C]

12936.868692[/C][/ROW] [ROW][C]Biased S.E. X[/C]

113.740356[/C][/ROW] [ROW][C]Mean Y[/C]

1309.151079[/C][/ROW] [ROW][C]Biased Variance Y[/C]

45390.718182[/C][/ROW] [ROW][C]Biased S.E. Y[/C]

213.050976[/C][/ROW] [ROW][C]Mean F[/C]

1309.151079[/C][/ROW] [ROW][C]Biased Variance F[/C]

26741.790224[/C][/ROW] [ROW][C]Biased S.E. F[/C]

163.529172[/C][/ROW] [ROW][C]Mean e[/C]

0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]

18648.927958[/C][/ROW] [ROW][C]Biased S.E. e[/C]

11.667200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=93620&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93620&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
Statistic	Value
Mean X	844.503597
Biased Variance X	12936.868692
Biased S.E. X	113.740356
Mean Y	1309.151079
Biased Variance Y	45390.718182
Biased S.E. Y	213.050976
Mean F	1309.151079
Biased Variance F	26741.790224
Biased S.E. F	163.529172
Mean e	0.000000
Biased Variance e	18648.927958
Biased S.E. e	11.667200

Parameters (Session):

par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

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

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