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

question 31

Essay

Suppose you estimate the sample multiple linear regression function $$\hat { y } _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 2 i }$$
where x_2i is a binary dummy variable equal to 1 if the individual possess a given characteristic and 0 if he or she does not.Demonstrate and explain how to interpret $\hat { \beta } _ { 2 }$
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