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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 10 Jan 2008 10:31:22 -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/2008/Jan/10/t1199986238vw0a8vw7pi3c7x5.htm/, Retrieved Thu, 16 May 2024 00:57:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7943, Retrieved Thu, 16 May 2024 00:57:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsStat Project
Estimated Impact281
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Nick] [2008-01-10 17:31:22] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
47
53
62
58
39
44
37
54
47
66
49
37
52
63
56
46
51
37
38
55
87
35
100
70
50
121
63
49
57
60
55
45
59
72
47
52
36
60
87
39
48
32
87
59
67
50
59
78
48
55
89
Dataseries Y:
47
56
51
56
44
38
46
77
67
53
47
36
42
70
54
60
56
40
64
46
45
39
76
49
48
89
63
48
43
48
55
46
63
67
46
59
45
58
85
46
48
30
90
49
63
50
60
75
39
59
93






Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant20.775444
Beta0.6069670.0769417.888719 H0: beta = 0
Elasticity0.6248060.079202-4.737149 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
20.775444 & & & \tabularnewline Beta0.6069670.0769417.888719 H0: beta = 0 \tabularnewline Elasticity0.6248060.079202-4.737149 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=7943&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]
20.775444[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.606967[/C]0.076941[/C]7.888719[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.624806[/C]0.079202[/C]-4.737149[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=7943&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7943&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
Constant20.775444
Beta0.6069670.0769417.888719 H0: beta = 0
Elasticity0.6248060.079202-4.737149 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000005827.4877355827.487735
Residual49.0000004588.43383393.641507
Total50.00000010415.921569208.318431
F-TEST62.231888

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000005827.4877355827.487735 \tabularnewline Residual49.0000004588.43383393.641507 \tabularnewline Total50.00000010415.921569208.318431 \tabularnewline F-TEST62.231888 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=7943&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]5827.487735[/C]5827.487735[/C][/ROW] [ROW][C]Residual[/C]49.000000[/C]4588.433833[/C]93.641507[/C][/ROW] [ROW][C]Total[/C]50.000000[/C]10415.921569[/C]208.318431[/C][/ROW] [ROW][C]F-TEST[/C]62.231888[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=7943&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7943&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
Regression1.0000005827.4877355827.487735
Residual49.0000004588.43383393.641507
Total50.00000010415.921569208.318431
F-TEST62.231888







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.761541
Von Neumann Ratio1.796771
rho - Least Squares0.088964
rho - Maximum Likelihood0.082634
rho - Serial Correlation0.084190
rho - Goldberger0.085741

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.761541 \tabularnewline Von Neumann Ratio1.796771 \tabularnewline rho - Least Squares0.088964 \tabularnewline rho - Maximum Likelihood0.082634 \tabularnewline rho - Serial Correlation0.084190 \tabularnewline rho - Goldberger0.085741 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=7943&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.761541[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.796771[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.088964[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.082634[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.084190[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.085741[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=7943&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7943&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-Watson1.761541
Von Neumann Ratio1.796771
rho - Least Squares0.088964
rho - Maximum Likelihood0.082634
rho - Serial Correlation0.084190
rho - Goldberger0.085741







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X57.000000
Biased Variance X310.156863
Biased S.E. X17.611271
Mean Y55.372549
Biased Variance Y204.233756
Biased S.E. Y14.291038
Mean F55.372549
Biased Variance F114.264465
Biased S.E. F10.689456
Mean e0.000000
Biased Variance e89.969291
Biased S.E. e1.355031

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
57.000000 \tabularnewline Biased Variance X310.156863 \tabularnewline Biased S.E. X17.611271 \tabularnewline Mean Y55.372549 \tabularnewline Biased Variance Y204.233756 \tabularnewline Biased S.E. Y14.291038 \tabularnewline Mean F55.372549 \tabularnewline Biased Variance F114.264465 \tabularnewline Biased S.E. F10.689456 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e89.969291 \tabularnewline Biased S.E. e1.355031 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=7943&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]
57.000000[/C][/ROW] [ROW][C]Biased Variance X[/C]310.156863[/C][/ROW] [ROW][C]Biased S.E. X[/C]17.611271[/C][/ROW] [ROW][C]Mean Y[/C]55.372549[/C][/ROW] [ROW][C]Biased Variance Y[/C]204.233756[/C][/ROW] [ROW][C]Biased S.E. Y[/C]14.291038[/C][/ROW] [ROW][C]Mean F[/C]55.372549[/C][/ROW] [ROW][C]Biased Variance F[/C]114.264465[/C][/ROW] [ROW][C]Biased S.E. F[/C]10.689456[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]89.969291[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.355031[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=7943&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7943&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 X57.000000
Biased Variance X310.156863
Biased S.E. X17.611271
Mean Y55.372549
Biased Variance Y204.233756
Biased S.E. Y14.291038
Mean F55.372549
Biased Variance F114.264465
Biased S.E. F10.689456
Mean e0.000000
Biased Variance e89.969291
Biased S.E. e1.355031



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