Show That for the Following Regression Model

question 35

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.

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Definitions:

Longitudinal Study

Research that follows the same subjects over a period of time, often years or even decades, to observe changes and developments.

Terman Life Cycle Study

A longitudinal psychological study that began in 1921 by psychologist Lewis Terman, aimed at studying the development and characteristics of gifted children into adulthood.

Cognitive Development

The process by which individuals perceive, think, and understand, through learning, experience, and their senses.

Quasi-experimental Design

An empirical study used to estimate the causal impact of an intervention without random assignment.