Suppose You Estimate the Sample Multiple Linear Regression Function $\ \widehat {log y} _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 2 i }$

question 17

Essay

Suppose you estimate the sample multiple linear regression function $\ \widehat {log y} _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 2 i }$
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Explain how to interpret each of the estimated coefficients.

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Definitions:

Connective

In logic and philosophy, a term or operation that links propositions together in compound sentences, such as "and", "or", and "not".

Symbolic Form

The representation of objects or concepts through symbols or a system of symbols in a structured and conventional manner.

Components

The parts or elements that make up a whole system or object.

Connective

In formal logic, an operator that combines propositions to form a new proposition with a truth value derived from the original propositions.