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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 10:32:03 -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/2007/Nov/16/t1195234054q5eld39brm3ufu6.htm/, Retrieved Sun, 05 May 2024 22:09:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5506, Retrieved Sun, 05 May 2024 22:09:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact286
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Paper 24] [2007-11-16 17:32:03] [640491d00f3c9cca22cbf779aa38ac16] [Current]
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Dataseries X:
101,30
97,60
96,40
97,00
96,40
94,70
89,30
85,90
83,30
81,50
85,00
84,80
87,50
89,00
90,00
89,60
87,40
84,80
81,90
81,10
79,10
80,50
88,50
90,90
84,90
80,00
76,50
75,40
73,50
74,30
77,70
77,90
76,70
77,20
86,00
86,90
92,00
101,70
104,50
101,70
100,60
100,30
102,50
101,00
108,60
103,40
106,40
106,60
108,90
110,50
114,00
112,80
109,60
116,00
124,60
129,00
131,50
138,60
138,10
146,30
157,60
158,40
176,30
199,90
210,40
202,60
207,10
202,00
203,40
216,30
207,30
203,50
204,40
203,70
205,70
208,00
209,30
208,70
206,50
204,50
Dataseries Y:
100.70
97.90
96.50
96.60
96.60
95.50
91.80
89.30
87.00
85.90
88.00
87.90
89.20
90.90
91.60
90.20
89.10
87.50
86.30
86.00
84.40
86.10
91.00
92.70
88.00
84.30
82.20
80.80
79.40
80.20
82.20
82.20
81.20
82.10
88.10
88.50
92.10
98.60
100.90
100.60
101.10
102.10
103.60
102.80
108.30
104.00
106.10
106.30
109.00
111.00
113.70
112.70
110.30
114.50
119.30
121.80
125.40
129.70
129.40
134.50
141.20
141.40
152.20
167.70
173.30
168.70
172.60
169.80
172.00
179.40
174.60
172.50
172.60
176.30
178.90
179.60
179.90
180.30
180.90
177.70




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant28.000585
Beta0.7168330.005152139.125072 H0: beta = 0
Elasticity0.7577620.005447-44.474870 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
28.000585 & & & \tabularnewline Beta0.7168330.005152139.125072 H0: beta = 0 \tabularnewline Elasticity0.7577620.005447-44.474870 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5506&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]
28.000585[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.716833[/C]0.005152[/C]139.125072[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.757762[/C]0.005447[/C]-44.474870[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5506&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5506&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
Constant28.000585
Beta0.7168330.005152139.125072 H0: beta = 0
Elasticity0.7577620.005447-44.474870 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000094027.37210494027.372104
Residual78.000000378.9117714.857843
Total79.00000094406.2838751195.016252
F-TEST19355.785684

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000094027.37210494027.372104 \tabularnewline Residual78.000000378.9117714.857843 \tabularnewline Total79.00000094406.2838751195.016252 \tabularnewline F-TEST19355.785684 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5506&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]94027.372104[/C]94027.372104[/C][/ROW] [ROW][C]Residual[/C]78.000000[/C]378.911771[/C]4.857843[/C][/ROW] [ROW][C]Total[/C]79.000000[/C]94406.283875[/C]1195.016252[/C][/ROW] [ROW][C]F-TEST[/C]19355.785684[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5506&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5506&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
Regression1.00000094027.37210494027.372104
Residual78.000000378.9117714.857843
Total79.00000094406.2838751195.016252
F-TEST19355.785684







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.194630
Von Neumann Ratio0.197094
rho - Least Squares0.913204
rho - Maximum Likelihood0.889952
rho - Serial Correlation0.901201
rho - Goldberger0.901503

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.194630 \tabularnewline Von Neumann Ratio0.197094 \tabularnewline rho - Least Squares0.913204 \tabularnewline rho - Maximum Likelihood0.889952 \tabularnewline rho - Serial Correlation0.901201 \tabularnewline rho - Goldberger0.901503 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5506&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.194630[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.197094[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.913204[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.889952[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.901201[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.901503[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5506&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5506&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-Watson0.194630
Von Neumann Ratio0.197094
rho - Least Squares0.913204
rho - Maximum Likelihood0.889952
rho - Serial Correlation0.901201
rho - Goldberger0.901503







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X122.191250
Biased Variance X2287.330298
Biased S.E. X47.826042
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F1175.342151
Biased S.E. F34.283263
Mean e0.000000
Biased Variance e4.736397
Biased S.E. e0.246420

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
122.191250 \tabularnewline Biased Variance X2287.330298 \tabularnewline Biased S.E. X47.826042 \tabularnewline Mean Y115.591250 \tabularnewline Biased Variance Y1180.078548 \tabularnewline Biased S.E. Y34.352271 \tabularnewline Mean F115.591250 \tabularnewline Biased Variance F1175.342151 \tabularnewline Biased S.E. F34.283263 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e4.736397 \tabularnewline Biased S.E. e0.246420 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5506&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]
122.191250[/C][/ROW] [ROW][C]Biased Variance X[/C]2287.330298[/C][/ROW] [ROW][C]Biased S.E. X[/C]47.826042[/C][/ROW] [ROW][C]Mean Y[/C]115.591250[/C][/ROW] [ROW][C]Biased Variance Y[/C]1180.078548[/C][/ROW] [ROW][C]Biased S.E. Y[/C]34.352271[/C][/ROW] [ROW][C]Mean F[/C]115.591250[/C][/ROW] [ROW][C]Biased Variance F[/C]1175.342151[/C][/ROW] [ROW][C]Biased S.E. F[/C]34.283263[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]4.736397[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.246420[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5506&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5506&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 X122.191250
Biased Variance X2287.330298
Biased S.E. X47.826042
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F1175.342151
Biased S.E. F34.283263
Mean e0.000000
Biased Variance e4.736397
Biased S.E. e0.246420



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