Question

9) Interpret your answer in part 6 above? (1) 3) The use of family members as a source of labor is one of the oldest concepts of farm management. Several studies have attempted to model the relationship between household size and area cultivated for food production. The argument is that the number of family members of a farming household affects the area cultivated by the household. Assuming that a study in Mpongwe district revealed the following data: Number of household members Area cultivated (ha) 3 4 2 1 1 5 1 4 Use this data to, a) Plot the best straight line to fit this data (1) b) Determine the least square regression equation for this data (4) c) Interpret the regression equation in part b above. (2) d) Would you agree that the number of household members is statistically significant in influencing the area farming households cultivate? Test this at the 5% level of significance.(5) e) By how much are variations in the area cultivated explained by variations in the household size? (3)

          9) Interpret your answer in part 6 above? (1)
3) The use of family members as a source of labor is one of the oldest
concepts of farm management. Several studies have attempted to model the
relationship between household size and area cultivated for food production.
The argument is that the number of family members of a farming household
affects the area cultivated by the household. Assuming that a study in
Mpongwe district revealed the following data:
Number of household
members
Area cultivated
(ha)
3
4
2
1
1
5
1
4
Use this data to,
a) Plot the best straight line to fit this data (1)
b) Determine the least square regression equation for this data (4)
c) Interpret the regression equation in part b above. (2)
d) Would you agree that the number of household members is
statistically significant in influencing the area farming households
cultivate? Test this at the 5% level of significance.(5)
e) By how much are variations in the area cultivated explained by
variations in the household size? (3)

9) Interpret your answer in part 6 above? (1)
3) The use of family members as a source of labor is one of the oldest
concepts of farm management. Several studies have attempted to model the
relationship between household size and area cultivated for food production.
The argument is that the number of family members of a farming household
affects the area cultivated by the household. Assuming that a study in
Mpongwe district revealed the following data:
Number of household
members
Area cultivated
(ha)
3
4
2
1
1
5
1
4
Use this data to,
a) Plot the best straight line to fit this data (1)
b) Determine the least square regression equation for this data (4)
c) Interpret the regression equation in part b above. (2)
d) Would you agree that the number of household members is
statistically significant in influencing the area farming households
cultivate? Test this at the 5% level of significance.(5)
e) By how much are variations in the area cultivated explained by
variations in the household size? (3)

Added by Ashley M.

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