A. General Use and Operation of R #1-18 at 1 point each; #19 at 5 points; #20 at 2 points, #21-28 at 1 point each 33 points
for data, statistics, graphs
The lines of R code below, simulate Resting Heart Rate (beats/minute) in N=98 adults who arrived for a physical examination during one week, at White Plains Hospital, NY.
From the top down, submit these 4 lines of R code to the R Console. You should use the R Editor. You must submit these lines of code ex- actly as given below and in top-down order, as below. Comments are not needed. Do not email me your .R file for this problem.
> set.seed(sample(1:501, 1)) # 'seed' the random number generator
> N <- 98 # sample size
> y <- rnorm(N, 85, 7) # N random numbers from normal distribution: mean=85, SD=7
> y <- round(y) # round-off y to whole numbers
After submitting the 4 lines of code above, you should immediately execute the code for problems 1 to 19. Once you get started with problems 1 to 19, do not go back and run any of the 4 lines above, for if you do, you will get a completely different, numeric vector y.
Evaluate the function calls and the operations below. Enter the numerical results in the forms. Round to 2 decimal places.
1. mean(y) 2. sd(y)
3. sd(y)/sqrt(N) 4. 100 * sd(y)/mean(y)
5. min(y) 6. max(y)
7. skw(y)
8. krt(y)
skw() and krt() are
from: K funs UNIVARIATE.R
9. mean(y) - qt(.975, N-1) * sd(y)/sqrt(N)
10. mean(y) + qt(.975, N-1) * sd(y)/sqrt(N)
11. shapiro.test(y)$p.value
12. y[1:2]
13. hist(y, plot=FALSE)$counts
14. median(y) 15. IQR(y)
16. quantile(y, .75) - quantile(y, .25)
17. y[N-1]
18. stem(y)
Copy-paste, into the form, the text returned at the R Console.
Invented by John Tukey in the early 1970s a stem plot is a text version of a histogram.
19. Paste graph image below or save/submit as abc Arlo.pdf but use your name not Arlo.
h <- hist(y, plot=FALSE)$density dens <- density(y)
hist(y, freq=FALSE, main=NULL,
ylim=range(c(0, h, dens$y)), border="white", col="lightblue", xlab="Resting Heart Rate, beats/minute", cex.lab=1.5, cex.axis=1.3
)
lines(dens, col="red", lwd=3) # kernel mtext(paste("White Plains Hospital, NY",
"\nN = 98 adults"), line=.8, cex=1.8, font=2, col="darkred")
mtext("red: Kernel density", line=-1, adj=.98, cex=1, col="red")
box()
Paste graph image into the form or save/submit graph as abc Arlo.pdf if Arlo is your name else
use your name. Paste image, click on it, click on a corner, then resize to fit the form.
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