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Type 'q()' to quit R. > y <- c(45943,59385,7176,63907,112746,218511,51741,60400,63412,125468,50224,81908,35821,71437,59999,64114,49519,14903,56100,11805,33983,77726,47624,44572,61932,47968,64711,59855,130532,71572,55974,73726,44795,24608,65081,0,45624,60122,31241,73314,65398,41061,30085,44881,35236,24791,24886,87233,55304,42244,33820,37861,77191,76157,81220,46992,58593,22923,48977,17919,28651,27666,22528,33493,41603,44299,49670,58803,31404,12185,83343,25915,29352,35557,23272,17647,51193,35126,15563,21057,22050,66490,27190,48592,21764,47480,74948,17111,28728,45984,45664,51855,46737,46743,14189,102297,58066,19349,60378,47671,12992,17528,34532,17934,22361,20460,47949,16231,0,23392,20284,44393,35245,34131,3058,0,71090,24715,50785,33277,43051,61450,24215,25685,32306,15802,27437,34800,47050,11747,6046,41621,6836,11056,510,6669,0,28068,8916,7131,4194,14160,11970,26174) > x <- c(9492,8767,1423,15387,11936,22386,7703,7694,14513,12552,10893,14584,5469,8334,8651,13657,22452,6023,10602,12476,783,16597,5506,5852,6630,4065,12579,10432,50116,8628,3482,7195,11938,15129,5050,0,7537,8665,3710,11128,7980,6851,15966,22214,7713,6154,2928,10805,17412,9243,6656,3585,11016,14667,11708,7619,11853,9540,10081,2574,3772,3886,8984,5956,10878,9852,13736,8033,9776,1536,6948,5846,7318,4898,1358,0,9580,17612,2941,6924,6387,3690,7153,8765,5761,8809,10686,8055,8352,6030,14070,17349,5645,4120,13983,3853,19150,3895,4408,7498,2325,11429,17265,6265,3087,3979,8931,3721,0,6185,14254,7500,5890,0,0,0,10411,28040,103,14377,2781,8759,2229,2423,13656,2790,10255,4845,5264,0,0,0,0,0,0,0,0,7711,797,0,0,4010,5959,2338) > par1 = '0' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -65241 -15211 -2737 11941 142167 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.245e+04 3.221e+03 6.969 1.10e-10 *** x 2.408e+00 3.142e-01 7.663 2.59e-12 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 24510 on 142 degrees of freedom Multiple R-squared: 0.2925, Adjusted R-squared: 0.2876 F-statistic: 58.72 on 1 and 142 DF, p-value: 2.593e-12 > postscript(file="/var/wessaorg/rcomp/tmp/1pblf1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/24m9d1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -2.327e-11 -1.910e-12 3.292e-13 2.271e-12 8.475e-12 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.245e+04 4.967e-13 4.519e+16 <2e-16 *** x 2.408e+00 4.845e-17 4.969e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.779e-12 on 142 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 2.469e+33 on 1 and 142 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3gf2p1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -65241 -15211 -2737 11941 142167 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.440e-14 3.221e+03 0 1 x -1.091e-17 3.142e-01 0 1 Residual standard error: 24510 on 142 degrees of freedom Multiple R-squared: 2.422e-36, Adjusted R-squared: -0.007042 F-statistic: 3.44e-34 on 1 and 142 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4lxwh1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -19088 -10136 -1617 6970 101571 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.154e+04 1.313e+03 31.63 <2e-16 *** m$residuals -5.501e-17 5.396e-02 0.00 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 15760 on 142 degrees of freedom Multiple R-squared: 1.216e-31, Adjusted R-squared: -0.007042 F-statistic: 1.727e-29 on 1 and 142 DF, p-value: 1 > 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() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5i1ft1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -68008 -15715 -2651 12006 134935 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -6.05660 2042.41602 -0.003 0.998 Residuals 0.11758 0.08363 1.406 0.162 Residual standard error: 24420 on 141 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.01382, Adjusted R-squared: 0.00683 F-statistic: 1.977 on 1 and 141 DF, p-value: 0.162 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/6yg6p1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/75h9n1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > 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() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/88n2x1321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9ync31321549500.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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="/var/wessaorg/rcomp/tmp/109mhq1321549500.tab") > > try(system("convert tmp/1pblf1321549500.ps tmp/1pblf1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/24m9d1321549500.ps tmp/24m9d1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/3gf2p1321549500.ps tmp/3gf2p1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/4lxwh1321549500.ps tmp/4lxwh1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/5i1ft1321549500.ps tmp/5i1ft1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/6yg6p1321549500.ps tmp/6yg6p1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/75h9n1321549500.ps tmp/75h9n1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/88n2x1321549500.ps tmp/88n2x1321549500.png",intern=TRUE)) character(0) > try(system("convert tmp/9ync31321549500.ps tmp/9ync31321549500.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.784 0.457 3.261