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Author*The author of this computation has been verified*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationMon, 13 Dec 2010 19:47:00 +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/2010/Dec/13/t1292269503kymd6e6w3zf8npx.htm/, Retrieved Mon, 06 May 2024 22:17:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109121, Retrieved Mon, 06 May 2024 22:17:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [correlatie totale...] [2010-12-13 10:33:14] [dc30d19c3bc2be07fe595ad36c2cf923]
- RM D    [Simple Regression] [Correlatie Totale...] [2010-12-13 19:47:00] [1638ccfec791c539017705f3e680eb33] [Current]
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Dataseries X:
3.3
8.3
12.5
3.9
9.8
19.7
6.2
14.5
9.7
12.5
3.9
3.1
8.4
8.6
10.7
10.7
6.1
18.1
3.8
14.4
12.0
6.2
13.0
13.8
8.2
2.9
10.8
9.1
19.9
8.0
13.2
12.8
19.4
17.4
17.0
10.9
13.7
8.4
8.4
12.5
13.2
9.8
9.6
6.6
5.4
2.6
3.8
11.0
10.3
13.3
5.4
15.8
10.3
19.4
Dataseries Y:
38.6
4.5
14.0
69.0
27.0
19.0
30.4
28.0
50.0
7.0
30.0
40.0
3.5
50.0
6.0
10.4
34.0
7.0
20.0
3.9
39.3
41.0
16.2
9.0
7.6
46.0
22.4
2.6
24.0
100.0
3.2
2.0
5.0
6.5
12.0
20.2
13.0
27.0
18.0
13.7
4.7
9.8
29.0
7.0
6.0
17.0
20.0
12.7
3.5
4.5
7.5
2.3
24.0
3.0




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant36.932623
Beta-1.6403370.505738-3.243453 H0: beta = 0
Elasticity-0.8604120.265277-7.013104 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
36.932623 & & & \tabularnewline Beta-1.6403370.505738-3.243453 H0: beta = 0 \tabularnewline Elasticity-0.8604120.265277-7.013104 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=109121&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]
36.932623[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-1.640337[/C]0.505738[/C]-3.243453[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.860412[/C]0.265277[/C]-7.013104[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=109121&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109121&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
Constant36.932623
Beta-1.6403370.505738-3.243453 H0: beta = 0
Elasticity-0.8604120.265277-7.013104 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000003155.6092073155.609207
Residual52.00000015598.085608299.963185
Total53.00000018753.694815353.843298
F-TEST10.519988

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000003155.6092073155.609207 \tabularnewline Residual52.00000015598.085608299.963185 \tabularnewline Total53.00000018753.694815353.843298 \tabularnewline F-TEST10.519988 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=109121&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]3155.609207[/C]3155.609207[/C][/ROW] [ROW][C]Residual[/C]52.000000[/C]15598.085608[/C]299.963185[/C][/ROW] [ROW][C]Total[/C]53.000000[/C]18753.694815[/C]353.843298[/C][/ROW] [ROW][C]F-TEST[/C]10.519988[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=109121&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109121&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
Regression1.0000003155.6092073155.609207
Residual52.00000015598.085608299.963185
Total53.00000018753.694815353.843298
F-TEST10.519988







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.821514
Von Neumann Ratio1.855883
rho - Least Squares0.087518
rho - Maximum Likelihood0.087775
rho - Serial Correlation0.089144
rho - Goldberger0.087646

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.821514 \tabularnewline Von Neumann Ratio1.855883 \tabularnewline rho - Least Squares0.087518 \tabularnewline rho - Maximum Likelihood0.087775 \tabularnewline rho - Serial Correlation0.089144 \tabularnewline rho - Goldberger0.087646 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=109121&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.821514[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.855883[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.087518[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.087775[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.089144[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.087646[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=109121&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109121&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-Watson1.821514
Von Neumann Ratio1.855883
rho - Least Squares0.087518
rho - Maximum Likelihood0.087775
rho - Serial Correlation0.089144
rho - Goldberger0.087646







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X10.412963
Biased Variance X21.718165
Biased S.E. X4.660275
Mean Y19.851852
Biased Variance Y347.290645
Biased S.E. Y18.635736
Mean F19.851852
Biased Variance F58.437208
Biased S.E. F7.644423
Mean e0.000000
Biased Variance e288.853437
Biased S.E. e2.356878

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
10.412963 \tabularnewline Biased Variance X21.718165 \tabularnewline Biased S.E. X4.660275 \tabularnewline Mean Y19.851852 \tabularnewline Biased Variance Y347.290645 \tabularnewline Biased S.E. Y18.635736 \tabularnewline Mean F19.851852 \tabularnewline Biased Variance F58.437208 \tabularnewline Biased S.E. F7.644423 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e288.853437 \tabularnewline Biased S.E. e2.356878 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=109121&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]
10.412963[/C][/ROW] [ROW][C]Biased Variance X[/C]21.718165[/C][/ROW] [ROW][C]Biased S.E. X[/C]4.660275[/C][/ROW] [ROW][C]Mean Y[/C]19.851852[/C][/ROW] [ROW][C]Biased Variance Y[/C]347.290645[/C][/ROW] [ROW][C]Biased S.E. Y[/C]18.635736[/C][/ROW] [ROW][C]Mean F[/C]19.851852[/C][/ROW] [ROW][C]Biased Variance F[/C]58.437208[/C][/ROW] [ROW][C]Biased S.E. F[/C]7.644423[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]288.853437[/C][/ROW] [ROW][C]Biased S.E. e[/C]2.356878[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=109121&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109121&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 X10.412963
Biased Variance X21.718165
Biased S.E. X4.660275
Mean Y19.851852
Biased Variance Y347.290645
Biased S.E. Y18.635736
Mean F19.851852
Biased Variance F58.437208
Biased S.E. F7.644423
Mean e0.000000
Biased Variance e288.853437
Biased S.E. e2.356878



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