Essay
Show that for the following regression model
Yt = where t is a time trend,which takes on the values 1,2,…,T,β1 represents the instantaneous ("continuous compounding")growth rate.Show how this rate is related to the proportionate rate of growth,which is calculated from the relationship
Yt = Y0 × (1 + g)t
when time is measured in discrete intervals.
Correct Answer:

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ln(Yt)= β0 + β1 × t + u and hence β1 =
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