(i). Identify that or those of the fundamental hypotheses that are systematically violated. (ii). Indicate the consequences of the violation of those fundamental hypotheses on the ordinary least squares estimation of the specified model. (iii). Suggest an alternative estimation approach which corrects for the identified violation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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(i).
A. Suppose the relationship between consumption expenditures and household
income of a representative sample of households in Ghana is specified as,
Y₁ = B₁ + B₂X₁ + ε₁,
where i refers to household i, and i = 1, 2,..., n
It is believed that while low income households have similar and less flexible
consumption habits, high income households have rather flexible and varied
consumption habits.
(ii).
The consumption pattern so described corresponds to a situation where at least
one of the fundamental assumptions to the Classical Linear Regression Model is
violated,
Identify that or those of the fundamental hypotheses that are systematically
violated.
Indicate the consequences of the violation of those fundamental hypotheses on
the ordinary least squares estimation of the specified model.
(iii). Suggest an alternative estimation approach which corrects for the identified
violation.
L
}
]
Transcribed Image Text:(i). A. Suppose the relationship between consumption expenditures and household income of a representative sample of households in Ghana is specified as, Y₁ = B₁ + B₂X₁ + ε₁, where i refers to household i, and i = 1, 2,..., n It is believed that while low income households have similar and less flexible consumption habits, high income households have rather flexible and varied consumption habits. (ii). The consumption pattern so described corresponds to a situation where at least one of the fundamental assumptions to the Classical Linear Regression Model is violated, Identify that or those of the fundamental hypotheses that are systematically violated. Indicate the consequences of the violation of those fundamental hypotheses on the ordinary least squares estimation of the specified model. (iii). Suggest an alternative estimation approach which corrects for the identified violation. L } ]
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