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Type 'q()' to quit R. > y <- c(420535353 + ,488878453 + ,498041239 + ,564072495 + ,457511553 + ,534305471 + ,580509081 + ,648770437 + ,585105127 + ,630821361 + ,635048475 + ,684750205 + ,624579278 + ,708146235 + ,679748791 + ,727949555 + ,711704976 + ,823818767 + ,751357794 + ,852585004 + ,769520139 + ,832010662 + ,718771367 + ,872040833 + ,743812598 + ,818570610 + ,886246705 + ,976236126 + ,819407290 + ,1026133596 + ,953889829 + ,1060970548 + ,831565599 + ,1082691438 + ,1037403716 + ,1100450194 + ,877855090 + ,1190802579 + ,1145401598 + ,1124835873 + ,828092945 + ,1113564364 + ,1079819494 + ,1220707994 + ,1027966674 + ,1255047042 + ,1229675334 + ,1039095435 + ,1027966674 + ,1243925959 + ,1291053814 + ,1369959521 + ,1032152788 + ,1312286401 + ,1353955493 + ,1423890029 + ,1198277525 + ,1459407892 + ,1612018595 + ,1528714149 + ,1169666679 + ,1403102002 + ,1420269219 + ,1510080957 + ,1275608999 + ,1471568598 + ,1483636755 + ,1482944107 + ,1274746307 + ,1636335358 + ,1618764870 + ,1787598977 + ,1436519436 + ,1673395701 + ,1798072680 + ,1944544177 + ,1530417042 + ,1726170719 + ,1781938866 + ,1819651590 + ,2023539182 + ,2310956246 + ,2296138765 + ,2489571272 + ,2342282823 + ,2622730494 + ,2443617370 + ,2758409400 + ,2534556428 + ,2871825467 + ,2811245838 + ,2962815256 + ,2623492171 + ,3127575470 + ,2817693911 + ,2647347460 + ,2229602701 + ,2625109728 + ,2803549524 + ,2950848868 + ,2646481372 + ,2928423819 + ,2993317766 + ,3259160572 + ,2879505487 + ,2938057843) > x <- c(9256885,10333752,10720612,11907834,9690590,10609448,11977254,13244600,11240162,11576825,11807926,13588068,11691588,12562273,12438117,12928814,11548838,12776845,11997156,13330088,11435231,12572825,11345956,13470822,10775234,12519177,11934407,13812730,11072269,12875557,12839205,14102759,10644606,13551116,12790714,13436225,10543361,13588113,13910100,13688184,9460957,12983955,12072813,13410011,11595556,12711511,13192150,11446149,11595556,12188025,13224051,13065877,9609338,12607393,12501842,12689869,10650116,12591209,13880292,13514738,9758680,11408706,11300823,11987461,9644061,11129888,11516053,10674049,8831349,10896072,10658420,11588748,9034816,10147881,11040127,11968843,9204166,9828988,10599002,10383324,9344956,10236895,9834064,10900904,9573817,10054837,9099351,10830753,8890756,10240704,9407973,10746225,8685878,10120696,9299008,8928589,7499163,8814962,9215177,10158324,8373334,9485738,9333946,10910330,8816168,8923734) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -1.597e+09 -4.692e+08 5.998e+06 3.891e+08 1.689e+09 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.519e+09 4.599e+08 9.827 < 2e-16 *** x -2.702e+02 4.055e+01 -6.664 1.30e-09 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 656800000 on 104 degrees of freedom Multiple R-squared: 0.2992, Adjusted R-squared: 0.2925 F-statistic: 44.41 on 1 and 104 DF, p-value: 1.302e-09 > postscript(file="/var/www/rcomp/tmp/1zuqw1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2r18b1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -2.531e-07 -8.369e-08 -7.280e-09 5.758e-08 1.509e-06 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.519e+09 1.301e-07 3.473e+16 <2e-16 *** x -2.702e+02 1.147e-14 -2.355e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.858e-07 on 104 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 5.548e+32 on 1 and 104 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/www/rcomp/tmp/3l9st1321558414.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 -1.597e+09 -4.692e+08 5.998e+06 3.891e+08 1.689e+09 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1.236e-07 4.599e+08 0 1 x 1.187e-14 4.055e+01 0 1 Residual standard error: 656800000 on 104 degrees of freedom Multiple R-squared: 2.01e-33, Adjusted R-squared: -0.009615 F-statistic: 2.091e-31 on 1 and 104 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4ht8i1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -776160969 -366427730 -10750694 362523380 1008438126 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.484e+09 4.169e+07 35.6 <2e-16 *** m$residuals -5.908e-17 6.408e-02 0.0 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 429200000 on 104 degrees of freedom Multiple R-squared: 3.679e-31, Adjusted R-squared: -0.009615 F-statistic: 3.826e-29 on 1 and 104 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/www/rcomp/tmp/5oxhh1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -1.318e+09 -2.964e+08 7.864e+07 3.693e+08 1.132e+09 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.947e+07 5.221e+07 0.373 0.71 Residuals 5.385e-01 8.050e-02 6.690 1.19e-09 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 5.35e+08 on 103 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.3029, Adjusted R-squared: 0.2961 F-statistic: 44.76 on 1 and 103 DF, p-value: 1.186e-09 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/6l7bf1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7i7x21321558414.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/www/rcomp/tmp/8rrer1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9m5oe1321558414.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/www/rcomp/tmp/106wpr1321558414.tab") > > try(system("convert tmp/1zuqw1321558414.ps tmp/1zuqw1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/2r18b1321558414.ps tmp/2r18b1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/3l9st1321558414.ps tmp/3l9st1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/4ht8i1321558414.ps tmp/4ht8i1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/5oxhh1321558414.ps tmp/5oxhh1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/6l7bf1321558414.ps tmp/6l7bf1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/7i7x21321558414.ps tmp/7i7x21321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/8rrer1321558414.ps tmp/8rrer1321558414.png",intern=TRUE)) character(0) > try(system("convert tmp/9m5oe1321558414.ps tmp/9m5oe1321558414.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.132 0.488 3.699