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*The author of this computation has been verified*
R Software Module: Ian.Holliday/rwasp_Simple Regression Y ~ X.wasp (opens new window with default values)
Title produced by software: Simple Linear Regression
Date of computation: Wed, 25 Aug 2010 22:12:21 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv.htm/, Retrieved Thu, 26 Aug 2010 00:14:36 +0200
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
82 79 26 35 82 58 30 50 82 60 44 20 83 76 32 55 83 62 23 24 84 49 26 40 84 50 34 55 85 51 40 55 85 65 21 35 85 57 30 50 86 57 20 45 86 48 29 55 88 69 27 45 88 55 21 20 88 78 19 30 89 47 25 60 89 63 21 34 90 44 29 50 91 72 18 14 91 66 22 54 91 49 19 45 92 48 38 70 92 50 29 46 93 50 33 65 93 69 26 40 94 50 38 55 95 49 25 60 95 52 37 45 95 51 33 55 95 61 36 30 95 54 28 60 95 70 28 25 96 60 33 60 96 76 16 20 97 70 30 54 98 75 34 20 98 65 37 15 99 50 41 26 100 46 27 70 100 43 28 60 100 60 25 48 101 48 21 60 101 46 39 60 102 50 18 55 102 56 23 68 102 74 32 20 103 46 28 35 103 48 33 40 104 50 37 54 105 58 29 26 105 42 25 35 105 50 18 35 106 49 24 55 106 53 39 55 106 40 32 75 106 33 37 75 107 43 27 40 107 34 31 78 107 52 32 40 108 49 19 80 108 65 29 65 108 40 31 50 109 55 20 45 109 53 27 26 109 30 33 70 110 53 30 50 111 45 27 52 111 35 34 45 111 44 39 60 111 44 28 60 112 50 24 60 114 36 32 70 115 47 45 80 115 44 37 75 118 39 29 60 118 37 26 65 etc...
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Linear Regression Model
Y ~ X
coefficients:
EstimateStd. Errort valuePr(>|t|)
(Intercept)-10.14616.675-0.6080.545
X0.5950.1673.5720.001
- - -
Residual Std. Err. 15.439 on 77 df
Multiple R-sq. 0.142
Adjusted R-sq. 0.131


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
IQ13042.2473042.24712.7620.001
Residuals7718354.943238.376
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/3ndgn1282774337.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/3ndgn1282774337.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/4ndgn1282774337.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/4ndgn1282774337.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/5ndgn1282774337.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/26/t12827744756fv8fauyv8s4dbv/5ndgn1282774337.ps (open in new window)


 
Parameters (Session):
par1 = 4 ; par2 = 1 ; par3 = TRUE ;
 
Parameters (R input):
par1 = 4 ; par2 = 1 ; par3 = TRUE ;
 
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
xdf<-data.frame(t(y))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
xdf <- data.frame(xdf[[cat1]], xdf[[cat2]])
names(xdf)<-c('Y', 'X')
if(intercept == FALSE) (lmxdf<-lm(Y~ X - 1, data = xdf) ) else (lmxdf<-lm(Y~ X, data = xdf) )
sumlmxdf<-summary(lmxdf)
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
nc <- ncol(sumlmxdf$'coefficients')
nr <- nrow(sumlmxdf$'coefficients')
a<-table.row.start(a)
a<-table.element(a,'Linear Regression Model', nc+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],nc+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'coefficients:',1,TRUE)
a<-table.element(a, ' ',nc-1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',1,TRUE)
for(i in 1 : nc){
a<-table.element(a, dimnames(sumlmxdf$'coefficients')[[2]][i],1,TRUE)
}#end header
a<-table.row.end(a)
for(i in 1: nr){
a<-table.element(a,dimnames(sumlmxdf$'coefficients')[[1]][i] ,1,TRUE)
for(j in 1 : nc){
a<-table.element(a, round(sumlmxdf$coefficients[i, j], digits=3), 1 ,FALSE)
}# end cols
a<-table.row.end(a)
} #end rows
a<-table.row.start(a)
a<-table.element(a, '- - - ',1,TRUE)
a<-table.element(a, ' ',nc,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Std. Err. ',1,TRUE)
a<-table.element(a, paste(round(sumlmxdf$'sigma', digits=3), ' on ', sumlmxdf$'df'[2], 'df') ,nc, FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R-sq. ',1,TRUE)
a<-table.element(a, round(sumlmxdf$'r.squared', digits=3) ,nc, FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-sq. ',1,TRUE)
a<-table.element(a, round(sumlmxdf$'adj.r.squared', digits=3) ,nc, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='regressionplot.png')
plot(Y~ X, data=xdf, xlab=V2, ylab=V1, main='Regression Solution')
if(intercept == TRUE) abline(coef(lmxdf), col='red')
if(intercept == FALSE) abline(0.0, coef(lmxdf), col='red')
dev.off()
library(car)
bitmap(file='residualsQQplot.png')
qq.plot(resid(lmxdf), main='QQplot of Residuals of Fit')
dev.off()
bitmap(file='residualsplot.png')
plot(xdf$X, resid(lmxdf), main='Scatterplot of Residuals of Model Fit')
dev.off()
 





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