3. Worth 50 points. A researcher tells you s / he ran a regression estimating the following relationship for the ination rate 71': Wt = 260 + lm1 + 2827112 + 5t- S/he found that: Bo = 0.5; [3'1 = 0.7; and B2 = 0.6. Does these estimates make sense in characterizing the behavior of ination? To check, please nd the equation's homogeneous solution using the researcher's parameter estimates (please show your work), and also set up a Stata .do le called \"HWProblemS\" that does the following. Sets observations equal to 280. Implements a seed equal to 1. Generates the estimated process for ination assuming that 171 = 0.02, 71'2 = 0.02, and thereafter 71' follows the noted difference equation with parameter estimates and a disturbance term that