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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 09 Dec 2007 13:01:31 -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/09/t1197230354i8x7fiu7p54sfwz.htm/, Retrieved Wed, 08 May 2024 13:18:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2974, Retrieved Wed, 08 May 2024 13:18:57 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact283
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [final exam linear...] [2007-12-09 20:01:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
18.5
18.5
18.9
19
19.2
19.5
19.9
20
20.2
20.4
20.4
21.8
21.9
22.4
22.8
22.9
23.1
23.1
23.4
23.6
23.7
24.3
24.6
25
25.3
25.5
26.3
26.6
26.6
26.8
27.3
28
28.4
28.7
29
29.3
29.3
29.4
29.8
30.1
30.1
30.6
30.7
31
31.4
31.5
31.7
31.9
32.8
33.6
33.7
34.1
34.2
34.8
35
35
35.6
36.4
37.8
39
40.2
41.2
43.7
Dataseries Y:
12
13
15
9
16
8
19
4
18
8
17
15
10
14
12
13
10
19
11
8
12
10
11
6
13
12
7
19
16
14
13
9
7
17
8
12
11
12
13
9
15
14
17
12
11
14
10
13
15
15
12
11
7
5
8
9
13
5
7
10
9
5
10




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant16.576440
Beta-0.1792080.071886-2.492949 H0: beta = 0
Elasticity-0.4325320.173502-8.256567 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
16.576440 & & & \tabularnewline Beta-0.1792080.071886-2.492949 H0: beta = 0 \tabularnewline Elasticity-0.4325320.173502-8.256567 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2974&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]
16.576440[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.179208[/C]0.071886[/C]-2.492949[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.432532[/C]0.173502[/C]-8.256567[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2974&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2974&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
Constant16.576440
Beta-0.1792080.071886-2.492949 H0: beta = 0
Elasticity-0.4325320.173502-8.256567 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000078.35466878.354668
Residual61.000000769.07390312.607769
Total62.000000847.42857113.668203
F-TEST6.214793

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000078.35466878.354668 \tabularnewline Residual61.000000769.07390312.607769 \tabularnewline Total62.000000847.42857113.668203 \tabularnewline F-TEST6.214793 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2974&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]78.354668[/C]78.354668[/C][/ROW] [ROW][C]Residual[/C]61.000000[/C]769.073903[/C]12.607769[/C][/ROW] [ROW][C]Total[/C]62.000000[/C]847.428571[/C]13.668203[/C][/ROW] [ROW][C]F-TEST[/C]6.214793[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2974&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2974&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
Regression1.00000078.35466878.354668
Residual61.000000769.07390312.607769
Total62.000000847.42857113.668203
F-TEST6.214793







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.458597
Von Neumann Ratio2.498252
rho - Least Squares-0.231831
rho - Maximum Likelihood-0.231836
rho - Serial Correlation-0.235088
rho - Goldberger-0.231833

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
2.458597 \tabularnewline Von Neumann Ratio2.498252 \tabularnewline rho - Least Squares-0.231831 \tabularnewline rho - Maximum Likelihood-0.231836 \tabularnewline rho - Serial Correlation-0.235088 \tabularnewline rho - Goldberger-0.231833 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2974&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
2.458597[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.498252[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.231831[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.231836[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.235088[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.231833[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2974&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2974&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-Watson2.458597
Von Neumann Ratio2.498252
rho - Least Squares-0.231831
rho - Maximum Likelihood-0.231836
rho - Serial Correlation-0.235088
rho - Goldberger-0.231833







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X27.928571
Biased Variance X38.726803
Biased S.E. X6.223086
Mean Y11.571429
Biased Variance Y13.451247
Biased S.E. Y3.667594
Mean F11.571429
Biased Variance F1.243725
Biased S.E. F1.115224
Mean e0.000000
Biased Variance e12.207522
Biased S.E. e0.447351

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
27.928571 \tabularnewline Biased Variance X38.726803 \tabularnewline Biased S.E. X6.223086 \tabularnewline Mean Y11.571429 \tabularnewline Biased Variance Y13.451247 \tabularnewline Biased S.E. Y3.667594 \tabularnewline Mean F11.571429 \tabularnewline Biased Variance F1.243725 \tabularnewline Biased S.E. F1.115224 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e12.207522 \tabularnewline Biased S.E. e0.447351 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2974&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]
27.928571[/C][/ROW] [ROW][C]Biased Variance X[/C]38.726803[/C][/ROW] [ROW][C]Biased S.E. X[/C]6.223086[/C][/ROW] [ROW][C]Mean Y[/C]11.571429[/C][/ROW] [ROW][C]Biased Variance Y[/C]13.451247[/C][/ROW] [ROW][C]Biased S.E. Y[/C]3.667594[/C][/ROW] [ROW][C]Mean F[/C]11.571429[/C][/ROW] [ROW][C]Biased Variance F[/C]1.243725[/C][/ROW] [ROW][C]Biased S.E. F[/C]1.115224[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]12.207522[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.447351[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2974&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2974&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 X27.928571
Biased Variance X38.726803
Biased S.E. X6.223086
Mean Y11.571429
Biased Variance Y13.451247
Biased S.E. Y3.667594
Mean F11.571429
Biased Variance F1.243725
Biased S.E. F1.115224
Mean e0.000000
Biased Variance e12.207522
Biased S.E. e0.447351



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