log using ed_attain.log, replace
use ed_attain



* generate student teacher ratio
gen pupil_staff=enroll/staff
label var pupil_staff "pupil staff ratio"

* run unrestricted model
reg droprate lnchprg pupil_staff salary benefit expend

* test that purchased inputs are all zero
test pupil_staff salary benefits expend

* run the brute force ftest
* unrestricted model is one without 
* purchased inputs
reg droprate lnchprg 

* is this a problem of multicollinearity
corr pupil_staff salary benefits expend

log close