Other relevant variables are as follows:\ anyfert_plus

T05i

: Indicating whether household

i

used any fertilizer in Tth season after the SAFI program.\ house_ever_anyfert_04

4_(i)

Indicating whether household

i

had ever used fertilizer prior to 2004 .\ educ_04i: Head of household's years of education in 2004.\ These variables are found in the data file duflo_data.csv available on canvas.\ Please answer the following questions

^(2)

:\ (a) Interpret the potential outcome anyfert_plus2_05(1) where 1 stands for safi_lr04

=1

.\ (b) Interpret the ATE E[anyfert_plus2_05(1) - anyfert_plus2_05(0)].\ (c) Compute E[anyfert_plus3_05]. Explain what this means in words.\ (d) Compute E[anyfert_plus3_05 | anyfert_plus2_05

=d

for

d=0,1

and anyfert_plus

{

(

:2_(05)=1)

}.\ (e) Is there a positive or negative correlation between household fertilizer use over time? Is this what you expect?

Other relevant variables are as follows: - anyfert_plusT_05i: Indicating whether household i used any fertilizer in Tth season after the SAFI program. - house_ever_anyfert_04 i : Indicating whether household i had ever used fertilizer prior to 2004 . - educ_04i: Head of household's years of education in 2004 . These variables are found in the data file duflo_data.csv available on canvas. Please answer the following questions 2 : (a) Interpret the potential outcome anyfert_plus2_05(1) where 1 stands for safi_lr04=1. (b) Interpret the ATE E[anyfert plus2_05(1) - anyfert plus2_05(0)]. (c) Compute E[anyfert_plus3_05]. Explain what this means in words. (d) Compute E[anyfert_plus3_05 | anyfert_plus2_05 =d] for d=0,1 and Pr( anyfert plus2_05=1). (e) Is there a positive or negative correlation between household fertilizer use over time? Is this what you expect