$3.$ You join a program implementation team $($PIT$)$ for a major development agency that has been tasked with examining recent data to understand the factors that explain farm productivity and rural incomes. The team has a rich dataset, and has specified the following model:

Where:

Y$=$ Farm productivity $($the aggregated value of farm output$)$

X$1=$ Total landholdings under cultivation $($in HA$)$

X$2=$ Irrigation $(0=$ rainfed; $1=$ some form of irrigation$)$

X$3=$ Fertilizer $($in kg$)$

X$4=$ Family Size

X$5=$ Education of Head of HH

X$5=$ Age of Head of HH

X$6=$ Land Tenure $(1=$ Rent; $2=$ Long$-$term Lease; $3=$ Owner$)$

X$7=$ Distance to nearest market $($in km$)$

X$8=$ Visited by Government Extension Worker in past $3$ months $(1=$ No; $0=$ Yes$)$

X$9=$ Fragmentation of Landholdings $($number of non$-$connected parcels$)$

X$10=$ Ethnic Majority $(1=$ Nostari ethnicity; $0=$ Yestari ethnicity$)$

X$11=$ Ethnic Minority $(1=$ Yestari ethnicity; $0=$ Nostari ethnicity$)$