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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 computationFri, 11 Oct 2013 07:59:35 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Oct/11/t1381492782lta15rdnm5xj61a.htm/, Retrieved Sun, 28 Apr 2024 09:16:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=214752, Retrieved Sun, 28 Apr 2024 09:16:11 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Linear Regression Graphical Model Validation] [] [2013-10-11 11:59:35] [a5501fab9c787febb2a952032c60b28f] [Current]
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Dataseries X:
34
33
29
34
32
35
41
27
40
40
36
40
43
40
33
37
32
26
36
39
38
34
35
41
42
36
39
33
33
36
37
36
34
32
35
39
30
25
29
39
31
26
28
40
32
35
32
41
34
36
38
34
32
34
32
40
43
35
45
36
39
31
36
36
37
40
35
36
32
36
37
42
37
36
36
33
37
35
37
28
33
45
38
43
37
36
40
39
43
32
37
34
44
35
34
37
40
36
44
35
34
40
34
39
36
40
37
35
45
39
39
37
38
46
37
27
33
42
33
33
33
38
37
35
33
39
38
39
38
30
43
34
39
36
32
37
42
40
35
39
34
28
30
36
31
34
33
37
40
39
42
47
38
38
40
37
29
37
37
33
31
36
37
39
35
33
37
42
31
32
36
32
40
32
30
37
42
37
47
37
31
41
44
40
37
33
35
40
38
36
36
35
30
37
43
33
39
38
40
29
35
37
26
28
38
29
35
38
39
44
33
35
42
30
36
40
39
36
37
37
37
36
30
32
35
42
41
35
33
39
34
39
41
34
30
29
33
40
32
37
37
36
41
34
38
40
42
32
40
38
35
34
38
24
39
42
44
35
37
34
41
33
42
30
30
40
49
39
29
39
35
35
34
24
47
24
30
34
41
32
32
35
37
40
45
35
39
46
33
40
35
38
36
34
30
44
37
36
37
34
43
31
34
38
38
34
26
36
35
37
40
43
29
30
36
38
43
41
31
36
44
35
42
31
38
34
40
41
30
43
Dataseries Y:
30
28
31
35
35
37
39
31
38
37
37
35
37
42
28
37
36
37
33
40
30
36
33
40
37
37
39
35
36
34
36
32
33
27
37
32
31
31
32
37
25
30
37
37
40
35
35
43
32
42
35
27
30
31
36
36
41
34
36
33
35
28
33
38
37
39
34
32
36
36
35
33
42
36
33
36
32
35
38
33
32
38
39
39
39
30
38
38
42
41
31
39
40
31
34
23
28
36
41
29
31
33
35
35
34
40
34
36
35
39
33
37
40
32
37
27
35
37
32
31
31
38
34
30
34
37
38
33
35
27
34
35
39
35
34
36
36
32
39
40
35
31
35
38
37
31
32
35
39
31
39
48
33
36
40
37
34
42
39
28
26
30
30
39
37
40
38
35
33
34
33
41
36
27
33
38
31
31
46
33
34
47
36
38
32
33
34
34
37
37
41
27
31
38
30
36
30
34
32
29
29
39
32
30
39
30
40
41
38
37
33
34
36
39
41
42
38
40
32
40
37
36
28
36
35
32
38
32
39
39
31
33
46
38
24
28
35
39
37
38
38
32
36
28
38
28
37
28
40
34
33
32
30
33
37
39
42
36
35
32
35
33
36
31
32
38
46
39
31
39
36
37
33
22
42
28
28
31
36
37
35
31
37
38
46
40
43
49
39
37
36
31
32
38
37
36
21
32
36
35
39
28
42
36
41
30
18
37
28
39
40
44
26
34
37
37
32
29
31
32
44
39
39
35
36
33
35
35
30
38




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\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 & 5 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=214752&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=214752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=214752&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 time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term15.81817512728181.729787001802679.144579714610610
slope0.5304298786153650.047361835663954111.19952111609270

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 15.8181751272818 & 1.72978700180267 & 9.14457971461061 & 0 \tabularnewline
slope & 0.530429878615365 & 0.0473618356639541 & 11.1995211160927 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=214752&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]15.8181751272818[/C][C]1.72978700180267[/C][C]9.14457971461061[/C][C]0[/C][/ROW]
[ROW][C]slope[/C][C]0.530429878615365[/C][C]0.0473618356639541[/C][C]11.1995211160927[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=214752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=214752&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 term15.81817512728181.729787001802679.144579714610610
slope0.5304298786153650.047361835663954111.19952111609270



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')