SECTION B Answer one question 1. An economist believes that the amount of beef consumed (Y) in tons in a year in Kenya depends on the price of beef x₁ in dollars per pound, the price of pork x2 in dollars per pound, the price of chicken x3 in dollars per pound, and the income per household x4 in thousands of dollars. The following sample regression was obtained through least squares, using 30 annual observations: log y = -0.024 0.529 log x₁ + 0.217 log x₂ + 0.193 log x3 (0.168) (0.103) (0.106) R² = 0.683 + 0.416 log x4 (.163) The numbers in parentheses under the coefficients are the estimated coefficient standard errors. a) Evaluate the overall fit of the estimated regression b) Determine at 5% level which (if any) of the estimated coefficients are statistically different from zero. c) Test the null hypothesis that the four variables logx₁, logx2, logx3, logx4 do not, as a set, have any linear influence on log y. d) Interpret the signs and magnitudes of the estimated coefficients e) The economist is also concerned that, over the years, the increasing awareness of the effects of heavy red-meat consumption on health may have influenced the demand for beef. If this is indeed the case, identify the econometric issue/problem this raises about the estimated regression? What is the consequence of the problem for the estimated coefficients? 2. Consider the following model that relates the percentage of a household's budget spent on alcohol WALC to total expenditure TOTEXP, age of the household head AGE, and the number of children in the household NK. WALC=B₁ + B₂ ln(TOTEXP) + ß3NK + ß4AGE + e This model was estimated using 1200 observations. An incomplete version of this output is provided in Table

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SECTION B
Answer one question
1. An economist believes that the amount of beef consumed (Y) in tons in a year in Kenya
depends on the price of beef x₁ in dollars per pound, the price of pork x2 in dollars per pound,
the price of chicken x3 in dollars per pound, and the income per household x4 in thousands of
dollars. The following sample regression was obtained through least squares, using 30 annual
observations:
log y = -0.024 0.529 log x₁ + 0.217 log x₂ + 0.193 log x3
(0.168)
(0.103)
(0.106)
R² = 0.683
+ 0.416 log x4
(.163)
The numbers in parentheses under the coefficients are the estimated coefficient standard errors.
a) Evaluate the overall fit of the estimated regression
b) Determine at 5% level which (if any) of the estimated coefficients are statistically
different from zero.
c) Test the null hypothesis that the four variables logx₁, logx2, logx3, logx4 do not, as a set,
have any linear influence on log y.
d) Interpret the signs and magnitudes of the estimated coefficients
e) The economist is also concerned that, over the years, the increasing awareness of the
effects of heavy red-meat consumption on health may have influenced the demand for
beef. If this is indeed the case, identify the econometric issue/problem this raises about
the estimated regression? What is the consequence of the problem for the estimated
coefficients?
2. Consider the following model that relates the percentage of a household’s budget spent on
alcohol WALC to total expenditure TOTEXP, age of the household head AGE, and the
number of children in the household NK.
WALC =B1 + B₂ ln(TOTEXP) + ß3NK + ß4AGE + e
This model was estimated using 1200 observations. An incomplete version of this output is
provided in Table
Transcribed Image Text:SECTION B Answer one question 1. An economist believes that the amount of beef consumed (Y) in tons in a year in Kenya depends on the price of beef x₁ in dollars per pound, the price of pork x2 in dollars per pound, the price of chicken x3 in dollars per pound, and the income per household x4 in thousands of dollars. The following sample regression was obtained through least squares, using 30 annual observations: log y = -0.024 0.529 log x₁ + 0.217 log x₂ + 0.193 log x3 (0.168) (0.103) (0.106) R² = 0.683 + 0.416 log x4 (.163) The numbers in parentheses under the coefficients are the estimated coefficient standard errors. a) Evaluate the overall fit of the estimated regression b) Determine at 5% level which (if any) of the estimated coefficients are statistically different from zero. c) Test the null hypothesis that the four variables logx₁, logx2, logx3, logx4 do not, as a set, have any linear influence on log y. d) Interpret the signs and magnitudes of the estimated coefficients e) The economist is also concerned that, over the years, the increasing awareness of the effects of heavy red-meat consumption on health may have influenced the demand for beef. If this is indeed the case, identify the econometric issue/problem this raises about the estimated regression? What is the consequence of the problem for the estimated coefficients? 2. Consider the following model that relates the percentage of a household’s budget spent on alcohol WALC to total expenditure TOTEXP, age of the household head AGE, and the number of children in the household NK. WALC =B1 + B₂ ln(TOTEXP) + ß3NK + ß4AGE + e This model was estimated using 1200 observations. An incomplete version of this output is provided in Table
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