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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 computationSun, 14 Nov 2010 15:31:19 +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/Nov/14/t1289748602l4tdrp1z1s0yllb.htm/, Retrieved Thu, 25 Apr 2024 20:08:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94561, Retrieved Thu, 25 Apr 2024 20:08:53 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [4. Depression & C...] [2010-11-11 16:39:17] [26379b86c25fbf0febe6a7a428e65173]
- RMPD    [Linear Regression Graphical Model Validation] [Enkelvoudige line...] [2010-11-14 15:31:19] [bff44ea937c3f909b1dc9a8bfab919e2] [Current]
-    D      [Linear Regression Graphical Model Validation] [Enkelvoudige regr...] [2010-12-06 21:43:54] [26379b86c25fbf0febe6a7a428e65173]
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Dataseries X:
10
12
11
10
12
12
14
14
11
11
13
11
10
10
14
14
12
11
10
12
10
11
14
12
13
13
12
14
13
11
12
13
11
11
14
12
13
11
13
13
13
12
14
14
8
13
13
11
13
13
10
10
13
12
16
13
12
11
12
12
14
13
13
12
13
12
13
14
13
13
12
10
13
11
11
16
13
11
15
13
13
12
11
12
13
12
13
12
13
15
13
11
11
14
15
12
10
12
11
11
11
14
14
13
13
13
12
15
12
16
13
15
11
14
14
10
12
12
12
14
10
10
13
13
13
11
11
13
13
13
13
13
13
13
13
14
13
14
11
13
11
11
16
8
11
14
12
13
14
13
12
13
14
14
11
15
11
14
13
15
14
13
Dataseries Y:
12
13
14
12
17
14
20
11
12
13
12
10
15
14
12
14
14
13
12
13
9
14
12
16
11
11
13
15
16
13
11
15
12
11
13
10
18
14
12
10
11
16
10
14
11
13
9
11
17
13
10
14
20
14
13
12
13
11
12
15
18
14
14
12
13
11
15
14
13
14
13
15
13
12
13
21
13
15
15
11
13
12
11
14
14
15
13
14
13
22
15
15
13
13
12
13
16
13
13
12
12
18
12
13
18
19
13
14
13
22
14
15
11
17
14
12
12
15
11
17
15
14
13
10
13
11
10
12
13
13
11
20
12
15
14
16
21
14
16
13
14
10
16
12
12
13
14
13
13
21
14
15
11
14
15
16
15
14
13
11
18
18




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 6 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94561&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94561&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94561&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 time6 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term6.510960226097741.596475330520084.078334379258257.13421483502508e-05
slope0.5759288619287240.1272575899184384.525693613228471.16881316718498e-05

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 6.51096022609774 & 1.59647533052008 & 4.07833437925825 & 7.13421483502508e-05 \tabularnewline
slope & 0.575928861928724 & 0.127257589918438 & 4.52569361322847 & 1.16881316718498e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94561&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]6.51096022609774[/C][C]1.59647533052008[/C][C]4.07833437925825[/C][C]7.13421483502508e-05[/C][/ROW]
[ROW][C]slope[/C][C]0.575928861928724[/C][C]0.127257589918438[/C][C]4.52569361322847[/C][C]1.16881316718498e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94561&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94561&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 term6.510960226097741.596475330520084.078334379258257.13421483502508e-05
slope0.5759288619287240.1272575899184384.525693613228471.16881316718498e-05



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')