Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 13 Dec 2007 06:05:06 -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/13/t119755166288tt5m3x0gtij7a.htm/, Retrieved Sun, 05 May 2024 19:25:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3514, Retrieved Sun, 05 May 2024 19:25:22 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [simple linear reg...] [2007-12-13 13:05:06] [48417d3bca90ce1366e1b8b67acac5c5] [Current]
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Dataseries X:
108,4
117
103,8
100,8
110,6
104,0
112,6
107,3
98,9
109,8
104,9
102,2
123,9
124,9
112,7
121,9
100,6
104,3
120,4
107,5
102,9
125,6
107,5
108,8
128,4
121,1
119,5
128,7
108,7
105,5
119,8
111,3
110,6
120,1
97,5
107,7
127,3
117,2
119,8
116,2
111,0
112,4
130,6
109,1
118,8
123,9
101,6
112,8
128,0
129,6
125,8
119,5
115,7
113,6
129,7
112,0
116,8
127,0
112,9
113,3
121,7
Dataseries Y:
99,8
96,8
87,0
96,3
107,1
115,2
106,1
89,5
91,3
97,6
100,7
104,6
94,7
101,8
102,5
105,3
110,3
109,8
117,3
118,8
131,3
125,9
133,1
147,0
145,8
164,4
149,8
137,7
151,7
156,8
180,0
180,4
170,4
191,6
199,5
218,2
217,5
205,0
194,0
199,3
219,3
211,1
215,2
240,2
242,2
240,7
255,4
253,0
218,2
203,7
205,6
215,6
188,5
202,9
214,0
230,3
230,0
241,0
259,6
247,8
270,3




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-67.200203
Beta2.0547790.7750582.651129 H0: beta = 0
Elasticity1.3996700.5279520.757018 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-67.200203 & & & \tabularnewline Beta2.0547790.7750582.651129 H0: beta = 0 \tabularnewline Elasticity1.3996700.5279520.757018 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=3514&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]
-67.200203[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]2.054779[/C]0.775058[/C]2.651129[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.399670[/C]0.527952[/C]0.757018[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=3514&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3514&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
Constant-67.200203
Beta2.0547790.7750582.651129 H0: beta = 0
Elasticity1.3996700.5279520.757018 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000020315.02573420315.025734
Residual59.000000170532.7398402890.385421
Total60.000000190847.7655743180.796093
F-TEST7.028483

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000020315.02573420315.025734 \tabularnewline Residual59.000000170532.7398402890.385421 \tabularnewline Total60.000000190847.7655743180.796093 \tabularnewline F-TEST7.028483 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=3514&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]20315.025734[/C]20315.025734[/C][/ROW] [ROW][C]Residual[/C]59.000000[/C]170532.739840[/C]2890.385421[/C][/ROW] [ROW][C]Total[/C]60.000000[/C]190847.765574[/C]3180.796093[/C][/ROW] [ROW][C]F-TEST[/C]7.028483[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=3514&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3514&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
Regression1.00000020315.02573420315.025734
Residual59.000000170532.7398402890.385421
Total60.000000190847.7655743180.796093
F-TEST7.028483







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.308347
Von Neumann Ratio0.313486
rho - Least Squares0.852521
rho - Maximum Likelihood0.829414
rho - Serial Correlation0.827876
rho - Goldberger0.840888

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.308347 \tabularnewline Von Neumann Ratio0.313486 \tabularnewline rho - Least Squares0.852521 \tabularnewline rho - Maximum Likelihood0.829414 \tabularnewline rho - Serial Correlation0.827876 \tabularnewline rho - Goldberger0.840888 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=3514&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.308347[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.313486[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.852521[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.829414[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.827876[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.840888[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=3514&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3514&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-Watson0.308347
Von Neumann Ratio0.313486
rho - Least Squares0.852521
rho - Maximum Likelihood0.829414
rho - Serial Correlation0.827876
rho - Goldberger0.840888







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X114.532787
Biased Variance X78.878269
Biased S.E. X8.881344
Mean Y168.139344
Biased Variance Y3128.651895
Biased S.E. Y55.934353
Mean F168.139344
Biased Variance F333.033209
Biased S.E. F18.249197
Mean e0.000000
Biased Variance e2795.618686
Biased S.E. e6.883558

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
114.532787 \tabularnewline Biased Variance X78.878269 \tabularnewline Biased S.E. X8.881344 \tabularnewline Mean Y168.139344 \tabularnewline Biased Variance Y3128.651895 \tabularnewline Biased S.E. Y55.934353 \tabularnewline Mean F168.139344 \tabularnewline Biased Variance F333.033209 \tabularnewline Biased S.E. F18.249197 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e2795.618686 \tabularnewline Biased S.E. e6.883558 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=3514&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]
114.532787[/C][/ROW] [ROW][C]Biased Variance X[/C]78.878269[/C][/ROW] [ROW][C]Biased S.E. X[/C]8.881344[/C][/ROW] [ROW][C]Mean Y[/C]168.139344[/C][/ROW] [ROW][C]Biased Variance Y[/C]3128.651895[/C][/ROW] [ROW][C]Biased S.E. Y[/C]55.934353[/C][/ROW] [ROW][C]Mean F[/C]168.139344[/C][/ROW] [ROW][C]Biased Variance F[/C]333.033209[/C][/ROW] [ROW][C]Biased S.E. F[/C]18.249197[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]2795.618686[/C][/ROW] [ROW][C]Biased S.E. e[/C]6.883558[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=3514&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3514&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 X114.532787
Biased Variance X78.878269
Biased S.E. X8.881344
Mean Y168.139344
Biased Variance Y3128.651895
Biased S.E. Y55.934353
Mean F168.139344
Biased Variance F333.033209
Biased S.E. F18.249197
Mean e0.000000
Biased Variance e2795.618686
Biased S.E. e6.883558



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