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Author's title

Author*The author of this computation has been verified*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationFri, 05 Dec 2008 04:36:25 -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/Dec/05/t1228477438146aix1ykq5jyg5.htm/, Retrieved Thu, 31 Oct 2024 23:05:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29191, Retrieved Thu, 31 Oct 2024 23:05:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact206
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [simple linear reg...] [2008-12-05 11:36:25] [e8f764b122b426f433a1e1038b457077] [Current]
- RM D    [Central Tendency] [central tendency ...] [2008-12-05 12:03:20] [4ddbf81f78ea7c738951638c7e93f6ee]
- RM D    [Central Tendency] [central tendency ...] [2008-12-05 12:06:04] [4ddbf81f78ea7c738951638c7e93f6ee]
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Dataseries X:
9,4
9,5
9,1
9
9,3
9,9
9,8
9,4
8,3
8
8,5
10,4
11,1
10,9
9,9
9,2
9,2
9,5
9,6
9,5
9,1
8,9
9
10,1
10,3
10,2
9,6
9,2
9,3
9,4
9,4
9,2
9
9
9
9,8
10
9,9
9,3
9
9
9,1
9,1
9,1
9,2
8,8
8,3
8,4
8,1
7,8
7,9
7,9
8
7,9
7,5
7,2
6,9
6,6
6,7
7,3
7,5
Dataseries Y:
7,5
7,6
7,9
7,9
8,1
8,2
8
7,5
6,8
6,5
6,6
7,6
8
8
7,7
7,5
7,6
7,7
7,9
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,1
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,7
6,4
6,3
6,2
6,5
6,8
6,8
6,5
6,3
5,9
5,9
6,4
6,4




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant2.789892
Beta0.4948150.0569288.691949 H0: beta = 0
Elasticity0.6137460.070611-5.470173 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
2.789892 & & & \tabularnewline Beta0.4948150.0569288.691949 H0: beta = 0 \tabularnewline Elasticity0.6137460.070611-5.470173 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=29191&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]
2.789892[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.494815[/C]0.056928[/C]8.691949[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.613746[/C]0.070611[/C]-5.470173[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=29191&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29191&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
Constant2.789892
Beta0.4948150.0569288.691949 H0: beta = 0
Elasticity0.6137460.070611-5.470173 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000013.99702813.997028
Residual59.00000010.9308400.185268
Total60.00000024.9278690.415464
F-TEST75.549972

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000013.99702813.997028 \tabularnewline Residual59.00000010.9308400.185268 \tabularnewline Total60.00000024.9278690.415464 \tabularnewline F-TEST75.549972 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=29191&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]13.997028[/C]13.997028[/C][/ROW] [ROW][C]Residual[/C]59.000000[/C]10.930840[/C]0.185268[/C][/ROW] [ROW][C]Total[/C]60.000000[/C]24.927869[/C]0.415464[/C][/ROW] [ROW][C]F-TEST[/C]75.549972[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=29191&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29191&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
Regression1.00000013.99702813.997028
Residual59.00000010.9308400.185268
Total60.00000024.9278690.415464
F-TEST75.549972







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.296948
Von Neumann Ratio0.301897
rho - Least Squares0.851696
rho - Maximum Likelihood0.851171
rho - Serial Correlation0.865083
rho - Goldberger0.851433

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.296948 \tabularnewline Von Neumann Ratio0.301897 \tabularnewline rho - Least Squares0.851696 \tabularnewline rho - Maximum Likelihood0.851171 \tabularnewline rho - Serial Correlation0.865083 \tabularnewline rho - Goldberger0.851433 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=29191&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.296948[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.301897[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.851696[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.851171[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.865083[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.851433[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=29191&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29191&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-Watson0.296948
Von Neumann Ratio0.301897
rho - Least Squares0.851696
rho - Maximum Likelihood0.851171
rho - Serial Correlation0.865083
rho - Goldberger0.851433







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X8.959016
Biased Variance X0.937173
Biased S.E. X0.968077
Mean Y7.222951
Biased Variance Y0.408654
Biased S.E. Y0.639260
Mean F7.222951
Biased Variance F0.229459
Biased S.E. F0.479019
Mean e0.000000
Biased Variance e0.179194
Biased S.E. e0.055111

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
8.959016 \tabularnewline Biased Variance X0.937173 \tabularnewline Biased S.E. X0.968077 \tabularnewline Mean Y7.222951 \tabularnewline Biased Variance Y0.408654 \tabularnewline Biased S.E. Y0.639260 \tabularnewline Mean F7.222951 \tabularnewline Biased Variance F0.229459 \tabularnewline Biased S.E. F0.479019 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.179194 \tabularnewline Biased S.E. e0.055111 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=29191&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]
8.959016[/C][/ROW] [ROW][C]Biased Variance X[/C]0.937173[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.968077[/C][/ROW] [ROW][C]Mean Y[/C]7.222951[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.408654[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.639260[/C][/ROW] [ROW][C]Mean F[/C]7.222951[/C][/ROW] [ROW][C]Biased Variance F[/C]0.229459[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.479019[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.179194[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.055111[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=29191&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29191&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 X8.959016
Biased Variance X0.937173
Biased S.E. X0.968077
Mean Y7.222951
Biased Variance Y0.408654
Biased S.E. Y0.639260
Mean F7.222951
Biased Variance F0.229459
Biased S.E. F0.479019
Mean e0.000000
Biased Variance e0.179194
Biased S.E. e0.055111



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