use "y:\stata\auto"

* Linear transformations

summarize price
histogram price, percent

tabulate foreign

generate price2013 = 3 * price
summarize price price2013
* Verify that the mean and standard deviation
*    of price 2013 are 3 times as large as
*    the original variable, price

* Using the formula for the mean, can you show that
*    mean of price2013 should be exactly 3 times
*    the mean of price?  What about the standard
*    deviation?

histogram price2013, percent
* place the two graphs side by side in your
*    Word document


* What happens to the mean and standard deviation now?
generate price2025 = 5 * price + 5000
summarize price price2013 price2025


* Non-linear transformations

summarize mpg
histogram mpg, percent

* Does taking the reciprocal of a variable have the
*    same properties?
generate gpm = 1/mpg
histogram gpm, percent

summarize mpg gpm