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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 06 Dec 2007 08:45:14 -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/06/t1196955146eyzvn2zmhzrbcab.htm/, Retrieved Fri, 03 May 2024 07:16:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2666, Retrieved Fri, 03 May 2024 07:16:53 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Simple Linear reg...] [2007-12-06 15:45:14] [6d644d07a16de69cd360f404f1ea3fa3] [Current]
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Dataseries X:
0,8833
0,8700
0,8758
0,8858
0,9170
0,9554
0,9922
0,9778
0,9808
0,9811
1,0014
1,0183
1,0622
1,0773
1,0807
1,0848
1,1582
1,1663
1,1372
1,1139
1,1222
1,1692
1,1702
1,2286
1,2613
1,2646
1,2262
1,1985
1,2007
1,2138
1,2266
1,2176
1,2218
1,2490
1,2991
1,3408
1,3119
1,3014
1,3201
1,2938
1,2694
1,2165
1,2037
1,2292
1,2256
1,2015
1,1786
1,1856
1,2103
1,1938
1,2020
1,2271
1,2770
1,2650
1,2684
1,2811
1,2727
1,2611
1,2881
1,3213
1,2999
1,3074
1,3242
1,3516
1,3511
1,3419
1,3716
1,3622
1,3896
1,4227
Dataseries Y:
18,33
22,6
24,9
24,8
23,8
25,1
26
27,4
27,3
24,3
28,4
24,4
30,3
31 ,5
29,8
25, 3
25,6
26,7
27,4
28,6
26,3
28,5
28,4
29,4
30,3
29,6
32,1
32,4
36,3
34,6
36,3
40,3
40,4
45,4
39
35,7
40,2
41,7
49,1
49,6
47
52
53,1
57,8
57,9
54,6
51,3
52,7
58,5
56,6
57,9
64,4
65,1
64,6
68,9
68,8
59,3
55
55,4
58
50,8
54,6
58,6
63,6
64,5
66,9
71,9
68,7
74,2
75,8




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-63.797650
Beta90.2438489.3943619.606172 H0: beta = 0
Elasticity2.4610320.2561935.702862 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-63.797650 & & & \tabularnewline Beta90.2438489.3943619.606172 H0: beta = 0 \tabularnewline Elasticity2.4610320.2561935.702862 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2666&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]
-63.797650[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]90.243848[/C]9.394361[/C]9.606172[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]2.461032[/C]0.256193[/C]5.702862[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2666&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2666&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-63.797650
Beta90.2438489.3943619.606172 H0: beta = 0
Elasticity2.4610320.2561935.702862 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000010474.26072110474.260721
Residual68.0000007718.475938113.506999
Total69.00000018192.736659263.662850
F-TEST92.278545

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000010474.26072110474.260721 \tabularnewline Residual68.0000007718.475938113.506999 \tabularnewline Total69.00000018192.736659263.662850 \tabularnewline F-TEST92.278545 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2666&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]10474.260721[/C]10474.260721[/C][/ROW] [ROW][C]Residual[/C]68.000000[/C]7718.475938[/C]113.506999[/C][/ROW] [ROW][C]Total[/C]69.000000[/C]18192.736659[/C]263.662850[/C][/ROW] [ROW][C]F-TEST[/C]92.278545[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2666&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2666&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
Regression1.00000010474.26072110474.260721
Residual68.0000007718.475938113.506999
Total69.00000018192.736659263.662850
F-TEST92.278545







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.123378
Von Neumann Ratio0.125166
rho - Least Squares0.945178
rho - Maximum Likelihood0.930499
rho - Serial Correlation0.943271
rho - Goldberger0.937810

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.123378 \tabularnewline Von Neumann Ratio0.125166 \tabularnewline rho - Least Squares0.945178 \tabularnewline rho - Maximum Likelihood0.930499 \tabularnewline rho - Serial Correlation0.943271 \tabularnewline rho - Goldberger0.937810 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2666&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.123378[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.125166[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.945178[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.930499[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.943271[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.937810[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2666&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2666&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-Watson0.123378
Von Neumann Ratio0.125166
rho - Least Squares0.945178
rho - Maximum Likelihood0.930499
rho - Serial Correlation0.943271
rho - Goldberger0.937810







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X1.190816
Biased Variance X0.018373
Biased S.E. X0.135549
Mean Y43.666143
Biased Variance Y259.896238
Biased S.E. Y16.121298
Mean F43.666143
Biased Variance F149.632296
Biased S.E. F12.232428
Mean e0.000000
Biased Variance e110.263942
Biased S.E. e1.273393

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
1.190816 \tabularnewline Biased Variance X0.018373 \tabularnewline Biased S.E. X0.135549 \tabularnewline Mean Y43.666143 \tabularnewline Biased Variance Y259.896238 \tabularnewline Biased S.E. Y16.121298 \tabularnewline Mean F43.666143 \tabularnewline Biased Variance F149.632296 \tabularnewline Biased S.E. F12.232428 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e110.263942 \tabularnewline Biased S.E. e1.273393 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2666&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]
1.190816[/C][/ROW] [ROW][C]Biased Variance X[/C]0.018373[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.135549[/C][/ROW] [ROW][C]Mean Y[/C]43.666143[/C][/ROW] [ROW][C]Biased Variance Y[/C]259.896238[/C][/ROW] [ROW][C]Biased S.E. Y[/C]16.121298[/C][/ROW] [ROW][C]Mean F[/C]43.666143[/C][/ROW] [ROW][C]Biased Variance F[/C]149.632296[/C][/ROW] [ROW][C]Biased S.E. F[/C]12.232428[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]110.263942[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.273393[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2666&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2666&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 X1.190816
Biased Variance X0.018373
Biased S.E. X0.135549
Mean Y43.666143
Biased Variance Y259.896238
Biased S.E. Y16.121298
Mean F43.666143
Biased Variance F149.632296
Biased S.E. F12.232428
Mean e0.000000
Biased Variance e110.263942
Biased S.E. e1.273393



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