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Data:
20 25 15 15 25 25 25 21 30 25 20 40 13 30 25 20 25 20 25 20 20 15 15 12 20 5 20 15 25 22 20 22 25 20 20 35 30 25 20 20 20 25 25 15 20 35 25 25 30 23 10 22 25 25 22 30 20 25 25 22 25 25 25 22 25 12 18 20 20 22 30 25 22 20 50 30 25 20 30 22 25 30 22 25 22 22 25 25 25 20 22 15 20 30 20 25 30 35 22 12 30 15 10 30 9 25 20 20 35 25 35 30 12 25 15 25 25 20 20 6 15 40 20 40 25 25 20 15 15 22 24 22 20 25 25 25 35 40 20 22 22 20 25 25 18 25 20 25 30 20 22 35 22 25 25 25 25 22 23 35 15 25 18 22 25 25 28 30 20 25 25 30 22 30 10 10 25 20 22 25 25 15 22 25 25 28 22 30 25 20 25 25 20 30 20 30 50 19 20 28 20 25 35 25 25 15 16 20 20 25 30 20 25 25 25 20 20 25 25 30 22 20 25 25 18 18 20 25 25 30 25 20 25 20 20 20 22 18 22 20 15 25 25 20 25 15 22 25 25 15 12 25 30 22 15 22 25 12 18 30 25 25 40 24 25 15 25 20 25 25 25 20 30 20 25 30 22 25 25 25 50 19 50 25 35 20 20 20 20 20 25 25 25 20 20 20 20 25 18 25 22 22 30 30 8 20 25 30 50 22 20 10 25 25 25 25 18 25 20 25 30 18 20 25 22 22 20 20 25 20 20 20 20 25 20 10 20 25 30 25 50 30 30 50 15 25 25 22 20 22 30 25 18 22 22 30 40 25 20 10 20 9 15 20 15 20 30 12 15 12 20 15 12 25 20 25 25 25 30 20 25 15 15 22 10 15 10 20 25 20 20 38 20 20 20 40 25 25 30 25 10 20 25 12 15 25 20 22 22 20 25 25 25 15 40 20 20 16 25 15 20 25 20 30 50 20 25 20 30 30 25 25 12 25 25 25 20 20 20 15 20 25 15 25 50 30 20 20 25 12 15 20 20 35 22 15 18 30 22 12 12 20 20 15 25 15 20 20 25 18 30 20 25 25 25 20 20 25 20 22 15 15 22 20 10 25 20 20 15 12 20 5 20 15 15 25 25 25 15 25 22 25 20 18 22 25 35 25 25 25 35 30 22 30 50 15 25 24 20 25 25 25 12 15 22 25 25 25 25 15 20 20 15 35 30 20 22 65 20 25 22 20 25 25 20 25 15 20 12 15 10 25 15 30 35 25 25 25 25 25 40 40 25 25 20 25 25 22 25 30 25 25 30 25 25 30 25 25 20 22 22 20 25 22 25 22 40 25 25 25 22 20 35 20 35 25 22 25 25 25 25 25 40 25 30 25 20 25 25 30 22 22 20 15 15 25 25 20 20 15 25 15 20 22 25 15 15 18 5 15 25 18 40 25 25 20 30 20 25 25 25 22 22 25 25 30 25 25 25 25 20 20 25 25 25 25 20 30 25 22 30 20 20 30 25 25 30 20 25 25 24 25 30 18 15 22 22 25 22 22 25 15 20 22 18 35 20 20 20 25 25 30 15 25 22 26 25 20 25 25 25 22 25 25 20 22 30 15 30 25 20 25 25 35 22 20 25 20 20 18 20 22 25 10 20 25 20 20 30 25 20 15 20 25 10 20 25 22 22 25 25 15 25 20 10 25 16 25 35 25 15 25 25 30 25 10 22 20 25 20 20 25 22 18 30 19 25 20 25 20 25 20 22 12 30 12 22 25 25 25 25 30 30 10 22 22 25 20 22 20 25 20 15 25 20 25 20 30 15 40 25 20 22 22 30 20 40 20 25 20 25 20 50 50 25 25 40 30 22 30 20 25 25 30 25 25 20 18 18 28 25 22 15 40 40 12 12 18 12 25 26 18 25 22 15 25 15 15 15 25 15 12 22 20 20 25 20 12 9 15 12 15 25 20 20 15 15 30 21 25 22 22 50 15 25 15 25 22 18 50 20 50 20 20 30 25 20 22 25 50 40 25 25 25 25 30 40 25 30 20
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Seasonal Period
12
12
4
6
12
Chart options
R Code
par1 <- as.numeric(par1) (n <- length(x)) (np <- floor(n / par1)) arr <- array(NA,dim=c(par1,np)) j <- 0 k <- 1 for (i in 1:(np*par1)) { j = j + 1 arr[j,k] <- x[i] if (j == par1) { j = 0 k=k+1 } } arr arr.mean <- array(NA,dim=np) arr.sd <- array(NA,dim=np) arr.range <- array(NA,dim=np) for (j in 1:np) { arr.mean[j] <- mean(arr[,j],na.rm=TRUE) arr.sd[j] <- sd(arr[,j],na.rm=TRUE) arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE) } arr.mean arr.sd arr.range (lm1 <- lm(arr.sd~arr.mean)) (lnlm1 <- lm(log(arr.sd)~log(arr.mean))) (lm2 <- lm(arr.range~arr.mean)) bitmap(file='test1.png') plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation') dev.off() bitmap(file='test2.png') plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range') dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Section',header=TRUE) a<-table.element(a,'Mean',header=TRUE) a<-table.element(a,'Standard Deviation',header=TRUE) a<-table.element(a,'Range',header=TRUE) a<-table.row.end(a) for (j in 1:np) { a<-table.row.start(a) a<-table.element(a,j,header=TRUE) a<-table.element(a,arr.mean[j]) a<-table.element(a,arr.sd[j] ) a<-table.element(a,arr.range[j] ) 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,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'alpha',header=TRUE) a<-table.element(a,lm1$coefficients[[1]]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'beta',header=TRUE) a<-table.element(a,lm1$coefficients[[2]]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'S.D.',header=TRUE) a<-table.element(a,summary(lm1)$coefficients[2,2]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'T-STAT',header=TRUE) a<-table.element(a,summary(lm1)$coefficients[2,3]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'p-value',header=TRUE) a<-table.element(a,summary(lm1)$coefficients[2,4]) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable1.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'alpha',header=TRUE) a<-table.element(a,lnlm1$coefficients[[1]]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'beta',header=TRUE) a<-table.element(a,lnlm1$coefficients[[2]]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'S.D.',header=TRUE) a<-table.element(a,summary(lnlm1)$coefficients[2,2]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'T-STAT',header=TRUE) a<-table.element(a,summary(lnlm1)$coefficients[2,3]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'p-value',header=TRUE) a<-table.element(a,summary(lnlm1)$coefficients[2,4]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Lambda',header=TRUE) a<-table.element(a,1-lnlm1$coefficients[[2]]) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable2.tab')
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Computing time
1 seconds
R Server
Big Analytics Cloud Computing Center
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