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Data X:
4 9 4 5 4 4 9 8 11 4 4 6 4 8 4 4 11 4 4 6 6 4 8 5 4 9 4 7 10 4 4 7 12 4 7 5 8 5 4 9 7 4 4 4 4 4 7 4 7 4 4 4 4 8 4 4 4 4 7 12 4 4 4 5 15 5 10 9 8 4 5 4 9 4 10 4 7 4 7 5 4 4 4 4 4 4 6 10 7 4 4 7 4 8 11 6 14 5 4 8 9 4 4 5 4 5 4 4 7 10 4 5 4 4 4 6 4 8 5 4 17 4 4 8 4 7 4 4 5 7 4 4 7 11 7 4 4 4 4 4 4 6 8 23 4 8 6 4 4 7 4 4 4 4 10 6 5 5 4 4 5 5 5 5 4 6 4 4 4 9 18 6 5 4 11 4 10 6 8 8 6 8 4 4 9 9 5 4 4 15 10 9 7 9 6 4 7 4 7 4 15 4 9 4 4 28 4 4 4 5 4 4 12 5 4 6 6 5 4 4 4 10 7 4 4 7 4 4 12 5 8 6 17 4 5 4 5 5 6 4 4 4 6 8 10 4 5 4 4 4 16 4 7 4 4 14 5 5 5 5 7 19 16 4 4 7 9 5 14 4 16 10 5 6 4 4 4 5 4 4 5 4 4 5 8 15
Data Y:
12.9 7.4 12.2 12.8 7.4 6.7 12.6 14.8 13.3 11.1 8.2 11.4 6.4 10.6 12.0 6.3 11.3 11.9 9.3 9.6 10.0 6.4 13.8 10.8 13.8 11.7 10.9 16.1 13.4 9.9 11.5 8.3 11.7 6.1 9.0 9.7 10.8 10.3 10.4 12.7 9.3 11.8 5.9 11.4 13.0 10.8 12.3 11.3 11.8 7.9 12.7 12.3 11.6 6.7 10.9 12.1 13.3 10.1 5.7 14.3 8.0 13.3 9.3 12.5 7.6 15.9 9.2 9.1 11.1 13.0 14.5 12.2 12.3 11.4 8.8 14.6 7.3 12.6 13.0 12.6 13.2 9.9 7.7 10.5 13.4 10.9 4.3 10.3 11.8 11.2 11.4 8.6 13.2 12.6 5.6 9.9 8.8 7.7 9.0 7.3 11.4 13.6 7.9 10.7 10.3 8.3 9.6 14.2 8.5 13.5 4.9 6.4 9.6 11.6 11.1 4.35 12.7 18.1 17.85 16.6 12.6 17.1 19.1 16.1 13.35 18.4 14.7 10.6 12.6 16.2 13.6 18.9 14.1 14.5 16.15 14.75 14.8 12.45 12.65 17.35 8.6 18.4 16.1 11.6 17.75 15.25 17.65 15.6 16.35 17.65 13.6 11.7 14.35 14.75 18.25 9.9 16 18.25 16.85 14.6 13.85 18.95 15.6 14.85 11.75 18.45 15.9 17.1 16.1 19.9 10.95 18.45 15.1 15 11.35 15.95 18.1 14.6 15.4 15.4 17.6 13.35 19.1 15.35 7.6 13.4 13.9 19.1 15.25 12.9 16.1 17.35 13.15 12.15 12.6 10.35 15.4 9.6 18.2 13.6 14.85 14.75 14.1 14.9 16.25 19.25 13.6 13.6 15.65 12.75 14.6 9.85 12.65 11.9 19.2 16.6 11.2 15.25 11.9 13.2 16.35 12.4 15.85 14.35 18.15 11.15 15.65 17.75 7.65 12.35 15.6 19.3 15.2 17.1 15.6 18.4 19.05 18.55 19.1 13.1 12.85 9.5 4.5 11.85 13.6 11.7 12.4 13.35 11.4 14.9 19.9 17.75 11.2 14.6 17.6 14.05 16.1 13.35 11.85 11.95 14.75 15.15 13.2 16.85 7.85 7.7 12.6 7.85 10.95 12.35 9.95 14.9 16.65 13.4 13.95 15.7 16.85 10.95 15.35 12.2 15.1 17.75 15.2 14.6 16.65 8.1
Sample Range:
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To:
bandwidth of density plot
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# lags (autocorrelation function)
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Chart options
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Label x-axis:
R Code
par1 <- as.numeric(par1) par2 <- as.numeric(par2) x <- as.ts(x) y <- as.ts(y) mylm <- lm(y~x) cbind(mylm$resid) library(lattice) bitmap(file='pic1.png') plot(y,type='l',main='Run Sequence Plot of Y[t]',xlab='time or index',ylab='value') grid() dev.off() bitmap(file='pic1a.png') plot(x,type='l',main='Run Sequence Plot of X[t]',xlab='time or index',ylab='value') grid() dev.off() bitmap(file='pic1b.png') plot(x,y,main='Scatter Plot',xlab='X[t]',ylab='Y[t]') grid() dev.off() bitmap(file='pic1c.png') plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value') grid() dev.off() bitmap(file='pic2.png') hist(mylm$resid,main='Histogram of e[t]') dev.off() bitmap(file='pic3.png') if (par1 > 0) { densityplot(~mylm$resid,col='black',main=paste('Density Plot of e[t] bw = ',par1),bw=par1) } else { densityplot(~mylm$resid,col='black',main='Density Plot of e[t]') } dev.off() bitmap(file='pic4.png') qqnorm(mylm$resid,main='QQ plot of e[t]') qqline(mylm$resid) grid() dev.off() if (par2 > 0) { bitmap(file='pic5.png') acf(mylm$resid,lag.max=par2,main='Residual Autocorrelation Function') grid() dev.off() } summary(x) load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Model: Y[t] = c + b X[t] + e[t]',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'c',1,TRUE) a<-table.element(a,mylm$coeff[[1]]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'b',1,TRUE) a<-table.element(a,mylm$coeff[[2]]) 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,'Descriptive Statistics about e[t]',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'# observations',header=TRUE) a<-table.element(a,length(mylm$resid)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'minimum',header=TRUE) a<-table.element(a,min(mylm$resid)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Q1',header=TRUE) a<-table.element(a,quantile(mylm$resid,0.25)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'median',header=TRUE) a<-table.element(a,median(mylm$resid)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'mean',header=TRUE) a<-table.element(a,mean(mylm$resid)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Q3',header=TRUE) a<-table.element(a,quantile(mylm$resid,0.75)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'maximum',header=TRUE) a<-table.element(a,max(mylm$resid)) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')
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Big Analytics Cloud Computing Center
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