Question

RSTUDIO MUST BE USED TO ANSWER THIS QUESTION

Run the following three commands in order\n

x <- rnorm(100)

y <- 2*x + 3 + rnorm(100,sd=1)

z <- 2*x + 3 + rnorm(100,sd=2)

Calculate the correlation coefficients between x and y and between x and z.

Identify the true statements below. (There may be more than one correct answer)

  

A. Both coefficients are positive

   

B. The correlation between x and z is stronger than that between x and. y

   

C. The correlation coefficients both indicate a lack of correlation between the two variables.

Answer 1

Thus based on results we can conclude that:

A. Both co-effecients are positive

B. is not true since corr(X,Z) < cor(X,Y)

C. is not true since both the correlation co-effecients are significant