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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_linear_regression.wasp
Title produced by softwareLinear Regression Graphical Model Validation
Date of computationMon, 20 Dec 2010 10:23:31 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/20/t1292840743po6kwh0gu9md424.htm/, Retrieved Mon, 29 Apr 2024 12:22:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112831, Retrieved Mon, 29 Apr 2024 12:22:05 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact167
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Mini tutorial] [2010-11-11 13:04:30] [1fd136673b2a4fecb5c545b9b4a05d64]
-    D  [Linear Regression Graphical Model Validation] [ws6.mini hypothese 1] [2010-11-15 18:16:27] [e4076051fbfb461c886b1e223cd7862f]
-    D    [Linear Regression Graphical Model Validation] [PAPER BAEYENS (Li...] [2010-12-20 10:12:09] [e4076051fbfb461c886b1e223cd7862f]
-    D        [Linear Regression Graphical Model Validation] [PAPER BAEYENS (Li...] [2010-12-20 10:23:31] [2953e4eb3235e2fd3d6373a16d27c72f] [Current]
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Dataseries X:
5
3
0
7
4
1
6
3
12
0
5
6
6
6
2
1
5
7
3
3
3
7
8
6
3
5
5
10
2
6
4
6
8
4
5
10
6
7
4
10
4
3
3
3
3
7
15
0
0
4
5
5
2
3
0
9
2
7
7
0
0
10
2
1
8
6
11
3
8
6
9
9
8
8
7
6
5
4
6
3
2
12
8
5
9
6
5
2
4
7
5
6
7
8
6
0
1
5
5
5
7
7
1
3
4
8
6
6
2
2
3
3
0
2
8
8
0
5
9
6
6
3
9
7
8
0
7
0
5
0
14
5
2
8
4
2
6
3
5
9
3
3
0
10
4
2
3
10
7
0
6
8
0
4
10
5
Dataseries Y:
13
12
15
12
10
12
15
9
12
11
11
11
15
7
11
11
10
14
10
6
11
15
11
12
14
15
9
13
13
16
13
12
14
11
9
16
12
10
13
16
14
15
5
8
11
16
17
9
9
13
10
6
12
8
14
12
11
16
8
15
7
16
14
16
9
14
11
13
15
5
15
13
11
11
12
12
12
12
14
6
7
14
14
10
13
12
9
12
16
10
14
10
16
15
12
10
8
8
11
13
16
16
14
11
4
14
9
14
8
8
11
12
11
14
15
16
16
11
14
14
12
14
8
13
16
12
16
12
11
4
16
15
10
13
15
12
14
7
19
12
12
13
15
8
12
10
8
10
15
16
13
16
9
14
14
12




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 9 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112831&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112831&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112831&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term10.67012650016220.42881214978729524.88298548782930
slope0.2742458644177750.07273603525314933.770426356939780.000231799575226566

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 10.6701265001622 & 0.428812149787295 & 24.8829854878293 & 0 \tabularnewline
slope & 0.274245864417775 & 0.0727360352531493 & 3.77042635693978 & 0.000231799575226566 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112831&T=1

[TABLE]
[ROW][C]Simple Linear Regression[/C][/ROW]
[ROW][C]Statistics[/C][C]Estimate[/C][C]S.D.[/C][C]T-STAT (H0: coeff=0)[/C][C]P-value (two-sided)[/C][/ROW]
[ROW][C]constant term[/C][C]10.6701265001622[/C][C]0.428812149787295[/C][C]24.8829854878293[/C][C]0[/C][/ROW]
[ROW][C]slope[/C][C]0.274245864417775[/C][C]0.0727360352531493[/C][C]3.77042635693978[/C][C]0.000231799575226566[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112831&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112831&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
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term10.67012650016220.42881214978729524.88298548782930
slope0.2742458644177750.07273603525314933.770426356939780.000231799575226566



Parameters (Session):
par1 = 0 ;
Parameters (R input):
par1 = 0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
library(lattice)
z <- as.data.frame(cbind(x,y))
m <- lm(y~x)
summary(m)
bitmap(file='test1.png')
plot(z,main='Scatterplot, lowess, and regression line')
lines(lowess(z),col='red')
abline(m)
grid()
dev.off()
bitmap(file='test2.png')
m2 <- lm(m$fitted.values ~ x)
summary(m2)
z2 <- as.data.frame(cbind(x,m$fitted.values))
names(z2) <- list('x','Fitted')
plot(z2,main='Scatterplot, lowess, and regression line')
lines(lowess(z2),col='red')
abline(m2)
grid()
dev.off()
bitmap(file='test3.png')
m3 <- lm(m$residuals ~ x)
summary(m3)
z3 <- as.data.frame(cbind(x,m$residuals))
names(z3) <- list('x','Residuals')
plot(z3,main='Scatterplot, lowess, and regression line')
lines(lowess(z3),col='red')
abline(m3)
grid()
dev.off()
bitmap(file='test4.png')
m4 <- lm(m$fitted.values ~ m$residuals)
summary(m4)
z4 <- as.data.frame(cbind(m$residuals,m$fitted.values))
names(z4) <- list('Residuals','Fitted')
plot(z4,main='Scatterplot, lowess, and regression line')
lines(lowess(z4),col='red')
abline(m4)
grid()
dev.off()
bitmap(file='test5.png')
myr <- as.ts(m$residuals)
z5 <- as.data.frame(cbind(lag(myr,1),myr))
names(z5) <- list('Lagged Residuals','Residuals')
plot(z5,main='Lag plot')
m5 <- lm(z5)
summary(m5)
abline(m5)
grid()
dev.off()
bitmap(file='test6.png')
hist(m$residuals,main='Residual Histogram',xlab='Residuals')
dev.off()
bitmap(file='test7.png')
if (par1 > 0)
{
densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1)
} else {
densityplot(~m$residuals,col='black',main='Density Plot')
}
dev.off()
bitmap(file='test8.png')
acf(m$residuals,main='Residual Autocorrelation Function')
dev.off()
bitmap(file='test9.png')
qqnorm(x)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Simple Linear Regression',5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistics',1,TRUE)
a<-table.element(a,'Estimate',1,TRUE)
a<-table.element(a,'S.D.',1,TRUE)
a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE)
a<-table.element(a,'P-value (two-sided)',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'constant term',header=TRUE)
a<-table.element(a,m$coefficients[[1]])
sd <- sqrt(vcov(m)[1,1])
a<-table.element(a,sd)
tstat <- m$coefficients[[1]]/sd
a<-table.element(a,tstat)
pval <- 2*(1-pt(abs(tstat),length(x)-2))
a<-table.element(a,pval)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'slope',header=TRUE)
a<-table.element(a,m$coefficients[[2]])
sd <- sqrt(vcov(m)[2,2])
a<-table.element(a,sd)
tstat <- m$coefficients[[2]]/sd
a<-table.element(a,tstat)
pval <- 2*(1-pt(abs(tstat),length(x)-2))
a<-table.element(a,pval)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')