Ivy, a General Manager at Mumias Sugar Company, estimated a multiplicative demand function of the form: Qa = aPªp[ª%Poª• using a cross-section data collected in the company sales on 30th June, 2016. The estimation results are as follows: Constant Price (P) Income (I) Price of Other Good (P0) Estimated coefficient 0.022 -0.223 1.354 0.133 Standard Error 0.012 0.056 0.502 0.814 t-statistic (1.19) (-3.98) -2.69 -0.13 Number of Observations, n = 210; R-squared = 0.7516 Critical Students' t = 1.96 at 5% Level of Significance
Ivy, a General Manager at Mumias Sugar Company, estimated a multiplicative demand function of the form: Qa = aPªp[ª%Poª• using a cross-section data collected in the company sales on 30th June, 2016. The estimation results are as follows: Constant Price (P) Income (I) Price of Other Good (P0) Estimated coefficient 0.022 -0.223 1.354 0.133 Standard Error 0.012 0.056 0.502 0.814 t-statistic (1.19) (-3.98) -2.69 -0.13 Number of Observations, n = 210; R-squared = 0.7516 Critical Students' t = 1.96 at 5% Level of Significance
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:QUESTION TWO
Ivy, a General Manager at Mumias Sugar Company, estimated a multiplicative demand
function of the form: Qd = aPapIªiPoª• _using a cross-section data collected in the
company sales on 30th June, 2016. The estimation results are as follows:
Constant
Price (P) Income (I) Price of Other Good (P0)
Estimated coefficient
0.022
-0.223
1.354
0.133
Standard Error
0.012
0.056
0.502
0.814
t-statistic
(1.19)
(-3.98)
-2.69
-0.13
Number of Observations, n = 210; R-squared = 0.7516
Critical Students' t = 1.96 at 5% Level of Significance
a) How would the coefficients and R² value be interpreted?
b) What will the quantity demanded be if the values of the independent variables are:
Price = 20; Income per capita = Ksh 500; and the Price of the Other Good = Ksh 30?
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