Question

In: Economics

(data) broiler weight. cumulative feed input (Weight) 0.58 (Feed input) 1 (Weight) 1.1 (Feed input) 2...


(data)

broiler weight. cumulative feed input
(Weight) 0.58 (Feed input) 1

(Weight) 1.1 (Feed input) 2

(Weight) 1.2. (Feed input) 3

(Weight) 1.3 (Feed input) 4

(Weight)1.95 (Feed input) 5

(Weight)2.55 (Feed input) 6


1/ You want to know the relationship between feed intake and broiler weight.


a/ Propose a parametric model of this relationship. Discuss the rationale for such a model.
b/ Propose an estimation method for the parameters. Discuss briefly the properties of your estimator.

c/ Estimate the relationship between feed intake and broiler weight. Discuss briefly your econometric results.

Solutions

Expert Solution

(a) As a first step, let us create a scatter plot as shown below. Based on the scatter plt, it can be observed that the weight and feed input seem to be linearly related with each other. Hance, I would suggest a linear parametric model as follows: Weight = a + b (Feed input) + u

(b) Ordinary least square seems to be candidate to estimate the above model, which is linear in parameter. Based on certain assumptions (linearity, zero mean and constant variance of errors, no serial correlation etc), OLS estimation procedure gives BLU (best linear inbiased) estimates.

(c) Find the regression output below.

Based on the regression, a unit increase in feed input increases weight by 0.36.


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