Question: (30Marks) a. The following data were collected by a student from a sample of 10 farmers in a village: Maize (land area) (ha) Maize output

  1. (30Marks)

a. The following data were collected by a student from a sample of 10 farmers in a village:

Maize (land area) (ha) Maize output (tons) Rice (land area) (ha)

Rice output

(tons)

 Age (years) Household size Market Distance (kms)
5 10 6 65 25 1 5
8 14 9 54 32 2 4
9 32 2 58 32 2 7
2 42 2 75 25 2 8
2 26 5 45 23 1 6
7 14 3 46 25 3 4
9 12 4 54 22 1 4
9 22 2 50 24 2 4
5 52 9 55 26 3 5
6 46 2 78 26 1 3

i. Compute the coefficient of variation for age, household size and market distance.(10Marks)

ii. Carry out a regression analysis to estimate the values of a and b given that

Yi =a +bXi (note: Yi is maize output and Xi is maize land area. (10 Marks)

iii. Carry out a regression analysis to estimate the values of a and b given that

Yi =a +bXi (note: Yi is rice output and Xi is rice land area. (10 Marks)

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