Suppose you estimate the sample multiple linear regression function $\hat { y } _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 1 i } ^ { 2 }$
.
What is the estimated marginal effect of x₁? Explain.

Question

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 _ { 1 i } ^ { 2 }

.
What is the estimated marginal effect of x₁? Explain.

Quizplus · Accepted Answer

The Answer of Suppose you estimate the sample multiple linear regression function $\hat { y } _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 1 i } ^ { 2 }$ . What is the estimated marginal effect of x₁? Explain.

Suppose You Estimate the Sample Multiple Linear Regression Function y^i=β^0+β^1x1i+β^2x1i2\hat { y } _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { 1 i } + \hat { \beta } _ { 2 } x _ { 1 i } ^ { 2 }y^​i​=β^​0​+β^​1​x1i​+β^​2​x1i2​

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