Q4 a) The sales manager of a company believes that the district sales (S.) of motor vehicles has been growing according to the model S = So (1 + g, where t is the time. Average sales is 50 units and average time is 4 years. He obtains the following OLS regression results: In S, = 3.6889 + 0.0583 t i. What is the estimate of the instantaneous and compound growth rate? ii. What is the estimate of So? ii. What will be the elasticity of sales with respect to time? iv. Suppose the researcher modifies the above equation and estimates the following regression: S, - 5.6731 + 2.7530 t Interpret the model. v. Compute elasticity of sales with respect to time for the model in part iv. Compare your results with the answer obtained in part ii.

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Q4 a) The sales manager of a company believes that the district sales (S.) of motor vehicles
has been growing according to the model S = So (1 + gy, where t is the time. Average
sales is 50 units and average time is 4 years. He obtains the following OLS regression
results:
In S, = 3.6889 + 0.0583 t
i. What is the estimate of the instantaneous and compound growth rate?
ii. What is the estimate of So?
iii. What will be the elasticity of sales with respect to time?
iv. Suppose the researcher modifies the above equation and estimates the following
regression: S, = 5.6731 + 2.7530 t
Interpret the model.
v. Compute elasticity of sales with respect to time for the model in part iv. Compare your
results with the answer obtained in part iii.
Transcribed Image Text:Q4 a) The sales manager of a company believes that the district sales (S.) of motor vehicles has been growing according to the model S = So (1 + gy, where t is the time. Average sales is 50 units and average time is 4 years. He obtains the following OLS regression results: In S, = 3.6889 + 0.0583 t i. What is the estimate of the instantaneous and compound growth rate? ii. What is the estimate of So? iii. What will be the elasticity of sales with respect to time? iv. Suppose the researcher modifies the above equation and estimates the following regression: S, = 5.6731 + 2.7530 t Interpret the model. v. Compute elasticity of sales with respect to time for the model in part iv. Compare your results with the answer obtained in part iii.
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