1. In R, execute the following code:

data(mtcars)

mpg <- array(mtcars$mpg, c(4,8))

Then answer the following questions:

a) What is the datatype of the mpg array that you have created? How do you know?

b) What happens to the values in mpg if you pass it through the as.integer() function? What happens to the shape?

c) What is a statement that you can write to find the value in the 2nd row and 7th column of mpg? What is that value?

d) Using only indexing and assignment, what statement can you write to create a 4x4 matrix named mpg.subset containing the values in the 1st, 4th, 5th, and 8th columns and first four (4) rows of mpg?

e) What statement can you write to find the average value in mpg? What is the average value?

f) What statement can you write to change the value in the 4th row and 5th column of mpg to the average value you found in part e)? By how much does the average value change when you do this?