Instructions:

In this assignment, we will create a simulated dataset to explore: A$)$ how sample size influences coefficient precision, B$)$ how collinearity influences point estimates, and C$)$ how variable functional form influences model fit.

Create a simulated dataset with the following characteristics:

$N=100,000$

$x1=$ random$\_$uniform

$x2=$ random$\_$uniform

$x3={0\mathrm{.}2}^{**}x1+$ random$\_$normal$($mean$=1,($:$sd=\mathrm{.}2$