$2$ The MSPE

$2\mathrm{.}1$ Preliminary analysis

Consider the following modelling strategy

y $=$ f$($x$)+$ e

$1.$ Use the following steps to generate your data:

$$ set your seed to your group number $($eg$,$ set.seed$(4)$ if you are group $4)$

$$ set n $=135$

$$ generate e as a N$(0,0\mathrm{.}18)$

$$ generate x as a U$(0,1)$

$$ set f$($x$)=$ x

$2$

This should be done via two functions. One that creates f$($x$)$ and the other one that

generates a $1)$ data frame containing x$,$ y and $2)$ the generated systematic part of your

model. Create a table that contains the first $10$ rows of your data frame.

$2.$ Create a nice X$-$Y plot that shows your pairs of observations on x and y as well as the

true systematic part of your model. Discuss the type of relationship between y and x$.$