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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 computationThu, 17 Nov 2011 12:00:16 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/17/t13215497749n3soll3qq3wlmg.htm/, Retrieved Fri, 29 Mar 2024 07:11:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=145145, Retrieved Fri, 29 Mar 2024 07:11:25 +0000
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Estimated Impact56
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Dataseries X:
1,671
1,672
1,672
1,672
1,669
1,658
1,656
1,656
1,649
1,636
1,628
1,625
1,627
1,627
1,627
1,627
1,625
1,625
1,623
1,615
1,614
1,615
1,613
1,612
1,618
1,623
1,628
1,628
1,628
1,63
1,639
1,636
1,646
1,655
1,662
1,662
1,663
1,666
1,668
1,674
1,682
1,686
1,686
1,687
1,686
1,685
1,678
1,678
1,679
1,678
1,679
1,681
1,68
1,679
1,681
1,668
1,667
1,667
1,659
1,648
1,642
1,641
1,67
1,634
1,633
1,634
1,629
1,624
1,62
1,621
1,627
1,627
1,628
1,635
1,638
1,64
1,641
1,641
1,64
1,641
1,645
1,645
1,644
1,644
1,635
1,634
1,635
1,633
1,631
1,63
1,631
1,63
1,629
1,63
1,634
1,623
1,621
1,62
1,621
1,621
1,621
1,621
Dataseries Y:
1,358
1,361
1,358
1,356
1,355
1,346
1,345
1,346
1,338
1,326
1,321
1,32
1,322
1,323
1,324
1,322
1,321
1,321
1,32
1,31
1,309
1,31
1,308
1,309
1,308
1,313
1,316
1,316
1,317
1,32
1,325
1,327
1,331
1,335
1,335
1,335
1,337
1,338
1,339
1,343
1,349
1,354
1,354
1,355
1,354
1,353
1,352
1,356
1,355
1,355
1,356
1,355
1,355
1,353
1,354
1,352
1,351
1,352
1,352
1,352
1,349
1,349
1,349
1,341
1,341
1,342
1,34
1,339
1,338
1,34
1,344
1,344
1,346
1,35
1,35
1,348
1,348
1,359
1,359
1,361
1,369
1,37
1,372
1,374
1,378
1,378
1,379
1,381
1,382
1,381
1,382
1,381
1,381
1,382
1,361
1,381
1,381
1,384
1,384
1,383
1,382
1,384




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145145&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145145&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145145&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term1.045374090886340.1568632618087436.664237877196011.47100509551024e-09
slope0.1840260537774250.09536726464253041.929656412682260.0564833853098508

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 1.04537409088634 & 0.156863261808743 & 6.66423787719601 & 1.47100509551024e-09 \tabularnewline
slope & 0.184026053777425 & 0.0953672646425304 & 1.92965641268226 & 0.0564833853098508 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145145&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]1.04537409088634[/C][C]0.156863261808743[/C][C]6.66423787719601[/C][C]1.47100509551024e-09[/C][/ROW]
[ROW][C]slope[/C][C]0.184026053777425[/C][C]0.0953672646425304[/C][C]1.92965641268226[/C][C]0.0564833853098508[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145145&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145145&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 term1.045374090886340.1568632618087436.664237877196011.47100509551024e-09
slope0.1840260537774250.09536726464253041.929656412682260.0564833853098508



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')