Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationTue, 04 Dec 2007 12:43:12 -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/2007/Dec/04/t1196796675epcxqwht4to5pqf.htm/, Retrieved Wed, 01 May 2024 23:26:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2440, Retrieved Wed, 01 May 2024 23:26:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact197
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Broccoli Lab] [2007-12-04 19:43:12] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message
Dataseries X:
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
20
21
22
23
24
25
26
Dataseries Y:
1.2
1.4
1.7
2
2
2.5
2.6
3
3.1
3.8
3.8
3.4
3
3.4
3.3
4.4
4.3
4.5
5
5
5.9
5.4
5.4
5.5
5.6
5.6
5.7




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant1.704079
Beta0.1706640.00877419.450557 H0: beta = 0
Elasticity0.5511210.028334-15.842185 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
1.704079 & & & \tabularnewline Beta0.1706640.00877419.450557 H0: beta = 0 \tabularnewline Elasticity0.5511210.028334-15.842185 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2440&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]
1.704079[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.170664[/C]0.008774[/C]19.450557[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.551121[/C]0.028334[/C]-15.842185[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2440&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2440&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
Constant1.704079
Beta0.1706640.00877419.450557 H0: beta = 0
Elasticity0.5511210.028334-15.842185 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000051.93755051.937550
Residual25.0000003.4320800.137283
Total26.00000055.3696302.129601
F-TEST378.324157

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000051.93755051.937550 \tabularnewline Residual25.0000003.4320800.137283 \tabularnewline Total26.00000055.3696302.129601 \tabularnewline F-TEST378.324157 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2440&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]51.937550[/C]51.937550[/C][/ROW] [ROW][C]Residual[/C]25.000000[/C]3.432080[/C]0.137283[/C][/ROW] [ROW][C]Total[/C]26.000000[/C]55.369630[/C]2.129601[/C][/ROW] [ROW][C]F-TEST[/C]378.324157[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2440&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2440&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
Regression1.00000051.93755051.937550
Residual25.0000003.4320800.137283
Total26.00000055.3696302.129601
F-TEST378.324157







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.941554
Von Neumann Ratio0.977768
rho - Least Squares0.513812
rho - Maximum Likelihood0.500874
rho - Serial Correlation0.503291
rho - Goldberger0.507301

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.941554 \tabularnewline Von Neumann Ratio0.977768 \tabularnewline rho - Least Squares0.513812 \tabularnewline rho - Maximum Likelihood0.500874 \tabularnewline rho - Serial Correlation0.503291 \tabularnewline rho - Goldberger0.507301 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2440&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.941554[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.977768[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.513812[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.500874[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.503291[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.507301[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2440&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2440&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-Watson0.941554
Von Neumann Ratio0.977768
rho - Least Squares0.513812
rho - Maximum Likelihood0.500874
rho - Serial Correlation0.503291
rho - Goldberger0.507301







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X12.259259
Biased Variance X66.043896
Biased S.E. X8.126740
Mean Y3.796296
Biased Variance Y2.050727
Biased S.E. Y1.432036
Mean F3.796296
Biased Variance F1.923613
Biased S.E. F1.386944
Mean e0.000000
Biased Variance e0.127114
Biased S.E. e0.071306

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
12.259259 \tabularnewline Biased Variance X66.043896 \tabularnewline Biased S.E. X8.126740 \tabularnewline Mean Y3.796296 \tabularnewline Biased Variance Y2.050727 \tabularnewline Biased S.E. Y1.432036 \tabularnewline Mean F3.796296 \tabularnewline Biased Variance F1.923613 \tabularnewline Biased S.E. F1.386944 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.127114 \tabularnewline Biased S.E. e0.071306 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2440&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]
12.259259[/C][/ROW] [ROW][C]Biased Variance X[/C]66.043896[/C][/ROW] [ROW][C]Biased S.E. X[/C]8.126740[/C][/ROW] [ROW][C]Mean Y[/C]3.796296[/C][/ROW] [ROW][C]Biased Variance Y[/C]2.050727[/C][/ROW] [ROW][C]Biased S.E. Y[/C]1.432036[/C][/ROW] [ROW][C]Mean F[/C]3.796296[/C][/ROW] [ROW][C]Biased Variance F[/C]1.923613[/C][/ROW] [ROW][C]Biased S.E. F[/C]1.386944[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.127114[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.071306[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2440&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2440&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 X12.259259
Biased Variance X66.043896
Biased S.E. X8.126740
Mean Y3.796296
Biased Variance Y2.050727
Biased S.E. Y1.432036
Mean F3.796296
Biased Variance F1.923613
Biased S.E. F1.386944
Mean e0.000000
Biased Variance e0.127114
Biased S.E. e0.071306



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