Question

"vector x has the elements 1, 2, 3, 5, 7, 7.5, 8, 10,

Vector y has the elements 2, 6.5, 7, 7, 5.5, 4, 6, 8,

"Which of the following is a simple plot of y versus x?

a. plot(x,y)
b. plot(y,x)
c. plot(x*y,x-y)
d. plot(x^2,y^2)"

Answer 1

The correct choice for plotting vector y versus vector x is 'a. plot(x,y)' as it creates a scatter plot showing the dependence of y on x. It plots the elements of y against the corresponding elements of x, forming a graphical representation of the relationship between the two vectors.

Step-by-step explanation:

The question asks for the simple plot of vector y versus vector x. To plot y versus x, each element of y should be plotted against the corresponding element of x, thus creating a set of (x,y) pairs. The correct option for achieving this graphically is a. plot(x,y), as this function will take elements from x as horizontal coordinates and elements from y as vertical coordinates and plot them on a two-dimensional space. This will create a scatter plot that shows the dependence of y on x.

For example, if we have a set of points like (1,5), (2,10), (3,7), and (4,14), each of these can be plotted on a graph, and if we connect them, it demonstrates how y changes in relation to x. This kind of plot is useful in various mathematical applications, such as visualizing a function or assessing the relationship between two variables.

Options b, c, and d do not represent a simple plot of y versus x. Specifically, b swaps the axes, c plots the product against the difference of x and y (which is more complex and not asked for), and d plots the squares of x against the squares of y, which changes the nature of the relationship between the variables.