You fit an AR(1) model to T=48 months of data (2008.m1-2011….

You fit an AR(1) model to T=48 months of data (2008.m1-2011.m12) on housing starts, i.e., how many new, private, residential housing units began construction in a particular month t.  You are planning to use it to forecast next month’s housing starts given this month’s value.  This

You have a cross-sectional dataset from 2014 with one observ…

You have a cross-sectional dataset from 2014 with one observation per country.  The Y variable is annual GDP growth (%), and the X variable is a measure of democracy, where 1=most democratic and 0=least democratic.  You are interested in the slope coefficient in the linear projection of Y onto (1,X), i.e., the parameter b in LP(Y | 1,X) = a + bX.  You’ve heard rumors that the less-democratic countries sometimes intentionally report GDP growth that is better than reality, but you have no way to actually test that hypothesis because in your dataset you only observe the GDP growth reported by each country, not the true GDP growth (unless they are identical).  Let Y* be the true annual GDP growth, Y the observed/reported value, and  M = Y – Y*  the measurement error.  If the rumor is true, then the OLS slope estimator has _______ asymptotic bias.  (Hint: draw a picture.)

Let Y be hourly wage ($/hr) and X=years of experience.  You…

Let Y be hourly wage ($/hr) and X=years of experience.  You want to estimate a statistical relationship between wage and experience, not worrying about causality.  You’ve heard that initially more experience is associated with higher wage, but that at very large values of experience, more experience is actually associated with lower wage.  You’ve also heard that each year of experience is associated with a percentage change in wage.  Given all this, the best model to try first would be