Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationFri, 08 Apr 2011 18:30:03 +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/2011/Apr/08/t1302287180wz5m0duwyeecmdn.htm/, Retrieved Thu, 09 May 2024 12:15:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=120420, Retrieved Thu, 09 May 2024 12:15:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [] [2011-04-08 18:30:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message
Dataseries X:
0
2
5
9
15
25
40
60

Dataseries Y:
.250
.560
.784
.975
1.019
1.071
1.065
1.067




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant0.660814
Beta0.0096440.0042932.246497 H0: beta = 0
Elasticity0.2215420.098616-7.893795 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
0.660814 & & & \tabularnewline Beta0.0096440.0042932.246497 H0: beta = 0 \tabularnewline Elasticity0.2215420.098616-7.893795 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=120420&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]
0.660814[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.009644[/C]0.004293[/C]2.246497[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.221542[/C]0.098616[/C]-7.893795[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=120420&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120420&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
Constant0.660814
Beta0.0096440.0042932.246497 H0: beta = 0
Elasticity0.2215420.098616-7.893795 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000000.2900050.290005
Residual6.0000000.3447820.057464
Total7.0000000.6347870.090684
F-TEST5.046750

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000000.2900050.290005 \tabularnewline Residual6.0000000.3447820.057464 \tabularnewline Total7.0000000.6347870.090684 \tabularnewline F-TEST5.046750 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=120420&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]0.290005[/C]0.290005[/C][/ROW] [ROW][C]Residual[/C]6.000000[/C]0.344782[/C]0.057464[/C][/ROW] [ROW][C]Total[/C]7.000000[/C]0.634787[/C]0.090684[/C][/ROW] [ROW][C]F-TEST[/C]5.046750[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=120420&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120420&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
Regression1.0000000.2900050.290005
Residual6.0000000.3447820.057464
Total7.0000000.6347870.090684
F-TEST5.046750







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.600670
Von Neumann Ratio0.686480
rho - Least Squares0.450663
rho - Maximum Likelihood0.806618
rho - Serial Correlation0.470611
rho - Goldberger0.602920

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.600670 \tabularnewline Von Neumann Ratio0.686480 \tabularnewline rho - Least Squares0.450663 \tabularnewline rho - Maximum Likelihood0.806618 \tabularnewline rho - Serial Correlation0.470611 \tabularnewline rho - Goldberger0.602920 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=120420&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.600670[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.686480[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.450663[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.806618[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.470611[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.602920[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=120420&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120420&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-Watson0.600670
Von Neumann Ratio0.686480
rho - Least Squares0.450663
rho - Maximum Likelihood0.806618
rho - Serial Correlation0.470611
rho - Goldberger0.602920







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X19.500000
Biased Variance X389.750000
Biased S.E. X19.742087
Mean Y0.848875
Biased Variance Y0.079348
Biased S.E. Y0.281688
Mean F0.848875
Biased Variance F0.036251
Biased S.E. F0.190396
Mean e0.000000
Biased Variance e0.043098
Biased S.E. e0.084752

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
19.500000 \tabularnewline Biased Variance X389.750000 \tabularnewline Biased S.E. X19.742087 \tabularnewline Mean Y0.848875 \tabularnewline Biased Variance Y0.079348 \tabularnewline Biased S.E. Y0.281688 \tabularnewline Mean F0.848875 \tabularnewline Biased Variance F0.036251 \tabularnewline Biased S.E. F0.190396 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.043098 \tabularnewline Biased S.E. e0.084752 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=120420&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]
19.500000[/C][/ROW] [ROW][C]Biased Variance X[/C]389.750000[/C][/ROW] [ROW][C]Biased S.E. X[/C]19.742087[/C][/ROW] [ROW][C]Mean Y[/C]0.848875[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.079348[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.281688[/C][/ROW] [ROW][C]Mean F[/C]0.848875[/C][/ROW] [ROW][C]Biased Variance F[/C]0.036251[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.190396[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.043098[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.084752[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=120420&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=120420&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 X19.500000
Biased Variance X389.750000
Biased S.E. X19.742087
Mean Y0.848875
Biased Variance Y0.079348
Biased S.E. Y0.281688
Mean F0.848875
Biased Variance F0.036251
Biased S.E. F0.190396
Mean e0.000000
Biased Variance e0.043098
Biased S.E. e0.084752



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