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1. The data set UN11 in the alr4...
1. The data set UN11 in the alr4 package contains several variables, including ppgdp, per capita...
1. The data set UN11 in the alr4 package contains several variables, including ppgdp, per capita gross domestic product in US dollars, and fertility, number of children per woman, from the year 2009-2011. The data are for 199 localities, and we will study the regression of ppgdp on fertility. (a) Draw the scatterplot of ppgdp against fertility and describe the relationship between these two variables. Is the trend linear? (b) Replace both variables by their natural logarithms and draw another...
2. R programming 2·The data set prostate in the faraway package is froma study on 97...
2. R programming
2·The data set prostate in the faraway package is froma study on 97 men with prostate cancer who were due to receive a radical prostatectomy We are interest is in predicting lpsa (log prostate specific antigen) with Icavol (log cancer volume). (a) Draw a scatterplot -does a simple linear regression model seem reasonable? (b) Without using the R function Im), compute the values T,Y, Sxx, Syy and Sxy. Com- pute the ordinary least squares estimates of the...
3. R programming 3. This problem uses the wblake data set in the alr4 package. This...
3. R programming
3. This problem uses the wblake data set in the alr4 package. This data set includes samples of small mouth bass collected in West Bearskin Lake, Minnesota, in 1991 Interest is in predicting length with age. Complete this problem without using Im( in R (a) Do the regression of length on age, and report the estimates, their standard errors and the estimate of variance. Interpret Bo and (b) Obtain a 900% confidence interval for βί fron the...
2. The data set prostate in the faraway package is from a study on 97 men...
2. The data set prostate in the faraway package is from a study on 97 men with prostate cancer who were due to receive a radical prostatectomy. We are interest is in predicting lpsa (log prostate specific antigen) with lcavol (log cancer volume). (a) Draw a scatterplot - does a simple linear regression model seem reasonable? (b) Without using the R function Im(0, compute the values , Y,Sxx, Syy and Sxy. Com pute the ordinary least squares estimates of the...
Solve the following problem in R and print out the commands and outputs. 3. The data...
Solve the following problem in R and print out the commands and outputs. 3. The data set fancy (you need to library the fpp package to get the dataset) concern the monthly sales figures of a shop which opened in January 1987 and sells gifts, souvenirs, and novelties. The sales volume varies with the seasonal population of tourists. (a) Produce a time plot of the data and describe the patterns in the graph. Identify any unusual or unexpected fluctuations in...
olve the following problem in R and print out the commands and outputs. 3. The data...
olve the following problem in R and print out the commands and outputs. 3. The data set fancy (you need to library the fpp package to get the dataset) concern the monthly sales figures of a shop which opened in January 1987 and sells gifts, souvenirs, and novelties. The sales volume varies with the seasonal population of tourists. (a) Produce a time plot of the data and describe the patterns in the graph. Identify any unusual or unexpected fluctuations in...
USE R STUDIO The stackloss data frame available in R contains 21 observations on four variables...
USE R STUDIO The stackloss data frame available in R contains 21 observations on four variables taken at a factory where ammonia is converted to nitric acid. The first three variables are Air.Flow, Water.Temp, and Acid.Conc. The fourth variable is stack.loss, which measures the amount of ammonia that escapes before being absorbed. Read the help file for more information about this data frame. - Give a numerical summarization of each column of the dataset, then use boxplots to help illustrating...
2. Suppose Y ~ Exp(a), which has pdf f(y)-1 exp(-y/a). (a) Use the following R code to generate data from the model Yi...
2. Suppose Y ~ Exp(a), which has pdf f(y)-1 exp(-y/a). (a) Use the following R code to generate data from the model Yi ~ Exp(0.05/Xi), and provide the scatterplot of Y against X set.seed(123) n <- 500 <-rnorm (n, x 3, 1) Y <- rexp(n, X) (b) Fit the model Yi-Ao + Ax, + ε¡ using the lm function in R and provide a plot of the best fit line on the scatterplot of Y vs X, and the residual...
Exercise 2. [Data analysis, requires R] For this questions use the bac data set from the...
Exercise 2. [Data analysis, requires R] For this questions use the bac data set from the openintro library. To access this data set first install the package using install.packages ("openintro") (this only needs to be done once). Then load the pack- age into R with the command library(openintro). You can read about this data set in the help menu by entering the command ?openintro or help(openintro). Many people believe that gender, weight, drinking habits, and many other factors are much...
Exercise 1. For this exercise use the bdims data set from the openintro package. Type ?bdims to r...
Exercise 1. For this exercise use the bdims data set from the openintro package. Type ?bdims to read about this data set in the help menu. Of interest are the variables hgt (height in centimeters), wgt (weight in kilograms), and sex (dummy variable with 1-male, 0-female). Since ggplotO requires that a categorical variable be coded as a factor type in R, run the following code: library (openintro) bdíms$sex2 <-factor (bdins$sex, levels-c (0,1), labels=c('F', 'M')) (a) Use ggplot2 to make a...
1. The data set UN11 in the alr4 package contains several variables, including ppgdp, per capita gross domestic product in US dollars, and fertility, number of children per woman, from the year 2009-2011. The data are for 199 localities, and we will study the regression of ppgdp on fertility. (a) Draw the scatterplot of ppgdp against fertility and describe the relationship between these two variables. Is the trend linear? (b) Replace both variables by their natural logarithms and draw another...
2. R programming
2·The data set prostate in the faraway package is froma study on 97 men with prostate cancer who were due to receive a radical prostatectomy We are interest is in predicting lpsa (log prostate specific antigen) with Icavol (log cancer volume). (a) Draw a scatterplot -does a simple linear regression model seem reasonable? (b) Without using the R function Im), compute the values T,Y, Sxx, Syy and Sxy. Com- pute the ordinary least squares estimates of the...
3. R programming
3. This problem uses the wblake data set in the alr4 package. This data set includes samples of small mouth bass collected in West Bearskin Lake, Minnesota, in 1991 Interest is in predicting length with age. Complete this problem without using Im( in R (a) Do the regression of length on age, and report the estimates, their standard errors and the estimate of variance. Interpret Bo and (b) Obtain a 900% confidence interval for βί fron the...
2. The data set prostate in the faraway package is from a study on 97 men with prostate cancer who were due to receive a radical prostatectomy. We are interest is in predicting lpsa (log prostate specific antigen) with lcavol (log cancer volume). (a) Draw a scatterplot - does a simple linear regression model seem reasonable? (b) Without using the R function Im(0, compute the values , Y,Sxx, Syy and Sxy. Com pute the ordinary least squares estimates of the...
2. Suppose Y ~ Exp(a), which has pdf f(y)-1 exp(-y/a). (a) Use the following R code to generate data from the model Yi ~ Exp(0.05/Xi), and provide the scatterplot of Y against X set.seed(123) n <- 500 <-rnorm (n, x 3, 1) Y <- rexp(n, X) (b) Fit the model Yi-Ao + Ax, + ε¡ using the lm function in R and provide a plot of the best fit line on the scatterplot of Y vs X, and the residual...
Exercise 2. [Data analysis, requires R] For this questions use the bac data set from the openintro library. To access this data set first install the package using install.packages ("openintro") (this only needs to be done once). Then load the pack- age into R with the command library(openintro). You can read about this data set in the help menu by entering the command ?openintro or help(openintro). Many people believe that gender, weight, drinking habits, and many other factors are much...
Exercise 1. For this exercise use the bdims data set from the openintro package. Type ?bdims to read about this data set in the help menu. Of interest are the variables hgt (height in centimeters), wgt (weight in kilograms), and sex (dummy variable with 1-male, 0-female). Since ggplotO requires that a categorical variable be coded as a factor type in R, run the following code: library (openintro) bdíms$sex2 <-factor (bdins$sex, levels-c (0,1), labels=c('F', 'M')) (a) Use ggplot2 to make a...
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