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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationTue, 05 Feb 2008 11:03:03 -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/Feb/05/t1202234916ufzigpokzzuajsd.htm/, Retrieved Mon, 13 May 2024 09:02:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8096, Retrieved Mon, 13 May 2024 09:02:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact261
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [SSC->I] [2008-02-05 18:03:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0,102
0,060
0,112
0,012
0,009
0,295
0,624
0,347
0,111
0,692
0,726
0,576
0,401
0,755
0,552
0,702
0,873
0,875
0,322
0,984
0,681
0,936
0,957
0,969
0,969
0,983
0,783
0,831
0,850
0,802
0,782
0,807
0,976
1,031
0,884
0,781
0,786
0,900
0,920
0,792
0,848
0,837
0,857
0,876
0,990
1,358
1,391
1,411
0,949
1,434
1,450
0,961
2,695
2,929
2,993
6,163
6,173
8,253
8,388
15,877
15,312
15,626
15,513
17,736
18,332
Dataseries Y:
4,05
4,06
4,06
4,07
4,08
4,10
4,13
4,14
4,14
4,15
4,15
4,15
4,17
4,18
4,18
4,18
4,18
4,18
4,19
4,20
4,21
4,21
4,21
4,21
4,21
4,21
4,22
4,22
4,22
4,22
4,23
4,23
4,23
4,23
4,23
4,24
4,24
4,24
4,24
4,24
4,25
4,25
4,25
4,25
4,26
4,27
4,27
4,27
4,27
4,28
4,28
4,28
4,58
4,64
4,66
4,95
4,95
5,29
5,32
6,25
6,26
6,27
6,30
6,41
6,48




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant4.103849
Beta0.1365520.001303104.829751 H0: beta = 0
Elasticity0.0826080.000788-1164.179031 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
4.103849 & & & \tabularnewline Beta0.1365520.001303104.829751 H0: beta = 0 \tabularnewline Elasticity0.0826080.000788-1164.179031 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8096&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]
4.103849[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.136552[/C]0.001303[/C]104.829751[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.082608[/C]0.000788[/C]-1164.179031[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8096&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8096&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
Constant4.103849
Beta0.1365520.001303104.829751 H0: beta = 0
Elasticity0.0826080.000788-1164.179031 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000026.52320226.523202
Residual63.0000000.1520540.002414
Total64.00000026.6752550.416801
F-TEST10989.276792

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000026.52320226.523202 \tabularnewline Residual63.0000000.1520540.002414 \tabularnewline Total64.00000026.6752550.416801 \tabularnewline F-TEST10989.276792 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8096&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]26.523202[/C]26.523202[/C][/ROW] [ROW][C]Residual[/C]63.000000[/C]0.152054[/C]0.002414[/C][/ROW] [ROW][C]Total[/C]64.000000[/C]26.675255[/C]0.416801[/C][/ROW] [ROW][C]F-TEST[/C]10989.276792[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8096&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8096&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
Regression1.00000026.52320226.523202
Residual63.0000000.1520540.002414
Total64.00000026.6752550.416801
F-TEST10989.276792







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.891109
Von Neumann Ratio0.905033
rho - Least Squares0.544018
rho - Maximum Likelihood0.501345
rho - Serial Correlation0.493796
rho - Goldberger0.522246

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.891109 \tabularnewline Von Neumann Ratio0.905033 \tabularnewline rho - Least Squares0.544018 \tabularnewline rho - Maximum Likelihood0.501345 \tabularnewline rho - Serial Correlation0.493796 \tabularnewline rho - Goldberger0.522246 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8096&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.891109[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.905033[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.544018[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.501345[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.493796[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.522246[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8096&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8096&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-Watson0.891109
Von Neumann Ratio0.905033
rho - Least Squares0.544018
rho - Maximum Likelihood0.501345
rho - Serial Correlation0.493796
rho - Goldberger0.522246







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X2.706185
Biased Variance X21.883415
Biased S.E. X4.677971
Mean Y4.473385
Biased Variance Y0.410389
Biased S.E. Y0.640616
Mean F4.473385
Biased Variance F0.408049
Biased S.E. F0.638787
Mean e0.000000
Biased Variance e0.002339
Biased S.E. e0.006094

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
2.706185 \tabularnewline Biased Variance X21.883415 \tabularnewline Biased S.E. X4.677971 \tabularnewline Mean Y4.473385 \tabularnewline Biased Variance Y0.410389 \tabularnewline Biased S.E. Y0.640616 \tabularnewline Mean F4.473385 \tabularnewline Biased Variance F0.408049 \tabularnewline Biased S.E. F0.638787 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.002339 \tabularnewline Biased S.E. e0.006094 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8096&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]
2.706185[/C][/ROW] [ROW][C]Biased Variance X[/C]21.883415[/C][/ROW] [ROW][C]Biased S.E. X[/C]4.677971[/C][/ROW] [ROW][C]Mean Y[/C]4.473385[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.410389[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.640616[/C][/ROW] [ROW][C]Mean F[/C]4.473385[/C][/ROW] [ROW][C]Biased Variance F[/C]0.408049[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.638787[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.002339[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.006094[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8096&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8096&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 X2.706185
Biased Variance X21.883415
Biased S.E. X4.677971
Mean Y4.473385
Biased Variance Y0.410389
Biased S.E. Y0.640616
Mean F4.473385
Biased Variance F0.408049
Biased S.E. F0.638787
Mean e0.000000
Biased Variance e0.002339
Biased S.E. e0.006094



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