HW10
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Temple University *
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Mathematics
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Jan 9, 2024
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HW10 SAM SAPORITO
1. Consider figure 1. Given R code cars = c(1, 3, 6, 4, 9), figure 1 is generated
using
a. plot(cars, type=“p”); b. plot(cars, type=“o”);
c. plot(cars, type=“l”)
2. Consider figure 2. Figure 2 is generated using
a. plot(sin, -pi, pi,lty=2);
b. plot(sin, -pi, pi,lty=1); c. plot(sin, -pi, pi)
3. Consider figure 3. Following R code plot(c(−3, 3), c(−3, 3), type = “n”),
figure 3 is
generated using
a. points(c(1,-1),c(-1,-1));
b. points(c(-1,1),c(1,-1))
; c. points(c(-1,-1),c(1,1))
4. Consider figure 4. Following R code plot(c(−3, 3), c(−3, 3), type = “n”),
figure 4 is
generated using
a. abline(0,1);
b. abline(1,1)
c. abline(0,0)
5. The cumulative distribution function (cdf) of a random variable X is defined
as
P (X ≤x) for −∞< x < ∞.
a. Use plot() to draw the cdf of standard normal over the range of −3 to 3.
>plot(P,-3,3)
b. Use title() to add a title “standard normal cdf” to the plot in Part a.
>title(main=”standard normal cdf”,font.main=5)
c. Use abline() to add a blue vertical line at x = 2.
>abline(v=2)
d. Use points() to add a red point at x = 0, y = .5. Does the normal cdf curve
go through this point? Why?
>points(0,5,col=”red”)
e. Define a function named “myfunction”. The input is x, and the output is
sin(x)/2+.5.
>myfunction=x(sin(x)/2+5)
f. Use plot(add = T RU E) to plot the function “myfunction” in the same figure
as the
previous plot. Plot the line in green, and use dashed line instead of solid line.
>plot(myfunction,add=TRUE,col=”red”,lty=2)
(Hint:
use lty=2)
g. Use legend() to add a legend for the three lines: the blue vertical line, the
black cdf
curve, and the green myfunction dashed line.black cdf
curve, and the green myfunction dashed line.
>legend(“topleft”,c(“abline”,”cdf”,”myfunction”),col=c(“blue”,”black”,”green”))
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