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

Suppose you estimate the sample multiple linear regression function $\ \widehat {log y} _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } \log x _ { 2 i }$ 
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Explain how to interpret $\hat { \beta } _ { 2 }$ 
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Quizplus · Accepted Answer

The Answer of Suppose you estimate the sample multiple linear regression function $\ \widehat {log y} _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } \log x _ { 2 i }$ 
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Explain how to interpret $\hat { \beta } _ { 2 }$ 
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Suppose You Estimate the Sample Multiple Linear Regression Function logy^i=β^0+β^1x1i+β^2log⁡x2i\ \widehat {log y} _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } \log x _ { 2 i } logy​i​=β^​0​+β^​1​x1i​+β^​2​logx2i​

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