Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationFri, 16 Nov 2007 05:36:48 -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/Nov/16/t11952162744g6rvbga5uzfeua.htm/, Retrieved Mon, 06 May 2024 04:32:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5487, Retrieved Mon, 06 May 2024 04:32:24 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact290
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Seatbelt LAW Q3] [2007-11-16 12:36:48] [b02e81bf795a9093262ef8ec9108b703] [Current]
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Dataseries X:
110,40
96,40
101,90
106,20
81,00
94,70
101,00
109,40
102,30
90,70
96,20
96,10
106,00
103,10
102,00
104,70
86,00
92,10
106,90
112,60
101,70
92,00
97,40
97,00
105,40
102,70
98,10
104,50
87,40
89,90
109,80
111,70
98,60
96,90
95,10
97,00
112,70
102,90
97,40
111,40
87,40
96,80
114,10
110,30
103,90
101,60
94,60
95,90
104,70
102,80
98,10
113,90
80,90
95,70
113,20
105,90
108,80
102,30
99,00
100,70
115,50
Dataseries Y:
109,20
88,60
94,30
98,30
86,40
80,60
104,10
108,20
93,40
71,90
94,10
94,90
96,40
91,10
84,40
86,40
88,00
75,10
109,70
103,00
82,10
68,00
96,40
94,30
90,00
88,00
76,10
82,50
81,40
66,50
97,20
94,10
80,70
70,50
87,80
89,50
99,60
84,20
75,10
92,00
80,80
73,10
99,80
90,00
83,10
72,40
78,80
87,30
91,00
80,10
73,60
86,40
74,50
71,20
92,40
81,50
85,30
69,90
84,20
90,70
100,30




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant12.285513
Beta0.7393640.1404735.263394 H0: beta = 0
Elasticity0.8586140.163129-0.866711 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
12.285513 & & & \tabularnewline Beta0.7393640.1404735.263394 H0: beta = 0 \tabularnewline Elasticity0.8586140.163129-0.866711 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5487&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]
12.285513[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.739364[/C]0.140473[/C]5.263394[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.858614[/C]0.163129[/C]-0.866711[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5487&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5487&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
Constant12.285513
Beta0.7393640.1404735.263394 H0: beta = 0
Elasticity0.8586140.163129-0.866711 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000002141.8597962141.859796
Residual59.0000004561.53758277.314196
Total60.0000006703.397377111.723290
F-TEST27.703318

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000002141.8597962141.859796 \tabularnewline Residual59.0000004561.53758277.314196 \tabularnewline Total60.0000006703.397377111.723290 \tabularnewline F-TEST27.703318 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5487&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]2141.859796[/C]2141.859796[/C][/ROW] [ROW][C]Residual[/C]59.000000[/C]4561.537582[/C]77.314196[/C][/ROW] [ROW][C]Total[/C]60.000000[/C]6703.397377[/C]111.723290[/C][/ROW] [ROW][C]F-TEST[/C]27.703318[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5487&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5487&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
Regression1.0000002141.8597962141.859796
Residual59.0000004561.53758277.314196
Total60.0000006703.397377111.723290
F-TEST27.703318







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.465483
Von Neumann Ratio1.489908
rho - Least Squares0.241249
rho - Maximum Likelihood0.253896
rho - Serial Correlation0.244901
rho - Goldberger0.247492

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.465483 \tabularnewline Von Neumann Ratio1.489908 \tabularnewline rho - Least Squares0.241249 \tabularnewline rho - Maximum Likelihood0.253896 \tabularnewline rho - Serial Correlation0.244901 \tabularnewline rho - Goldberger0.247492 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5487&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.465483[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.489908[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.241249[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.253896[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.244901[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.247492[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5487&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5487&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-Watson1.465483
Von Neumann Ratio1.489908
rho - Least Squares0.241249
rho - Maximum Likelihood0.253896
rho - Serial Correlation0.244901
rho - Goldberger0.247492







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X100.908197
Biased Variance X64.230916
Biased S.E. X8.014419
Mean Y86.893443
Biased Variance Y109.891760
Biased S.E. Y10.482927
Mean F86.893443
Biased Variance F35.112456
Biased S.E. F5.925576
Mean e0.000000
Biased Variance e74.779305
Biased S.E. e1.125809

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
100.908197 \tabularnewline Biased Variance X64.230916 \tabularnewline Biased S.E. X8.014419 \tabularnewline Mean Y86.893443 \tabularnewline Biased Variance Y109.891760 \tabularnewline Biased S.E. Y10.482927 \tabularnewline Mean F86.893443 \tabularnewline Biased Variance F35.112456 \tabularnewline Biased S.E. F5.925576 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e74.779305 \tabularnewline Biased S.E. e1.125809 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5487&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]
100.908197[/C][/ROW] [ROW][C]Biased Variance X[/C]64.230916[/C][/ROW] [ROW][C]Biased S.E. X[/C]8.014419[/C][/ROW] [ROW][C]Mean Y[/C]86.893443[/C][/ROW] [ROW][C]Biased Variance Y[/C]109.891760[/C][/ROW] [ROW][C]Biased S.E. Y[/C]10.482927[/C][/ROW] [ROW][C]Mean F[/C]86.893443[/C][/ROW] [ROW][C]Biased Variance F[/C]35.112456[/C][/ROW] [ROW][C]Biased S.E. F[/C]5.925576[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]74.779305[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.125809[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5487&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5487&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 X100.908197
Biased Variance X64.230916
Biased S.E. X8.014419
Mean Y86.893443
Biased Variance Y109.891760
Biased S.E. Y10.482927
Mean F86.893443
Biased Variance F35.112456
Biased S.E. F5.925576
Mean e0.000000
Biased Variance e74.779305
Biased S.E. e1.125809



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