Consider the saving function, SaVi Bo + BiinC; + Hig Ui Vinci xei (1) where sav; is saving, inc; is income, Ej is a rand
Posted: Thu Apr 28, 2022 11:34 am
Consider the saving function, SaVi Bo + BiinC; + Hig Ui Vinci xei (1) where sav; is saving, inc; is income, Ej is a random variable with E(ei) = 0 and var(ei) = 02, where o is a constant. Assume that E¡ is independent of inci.
f) (2 points) Someone suggests transforming the regression by dividing Jinc; on both sides: SOV; Vinc Bo 1 Vinci + Bilinc; +Ei (2) savi That is, run a regression of on Jinci and Jinc;. Show that OLS Assumption 1 is also (el = 0 satisfied in this equation, i.e., Vinc g) (4 points) You can run a regression either based on equation (1) or equation (2), which one do you prefer? Why? You only need to provide an intuitive answer.
f) (2 points) Someone suggests transforming the regression by dividing Jinc; on both sides: SOV; Vinc Bo 1 Vinci + Bilinc; +Ei (2) savi That is, run a regression of on Jinci and Jinc;. Show that OLS Assumption 1 is also (el = 0 satisfied in this equation, i.e., Vinc g) (4 points) You can run a regression either based on equation (1) or equation (2), which one do you prefer? Why? You only need to provide an intuitive answer.