The OLS residuals, $\hat { u } _ { i } ,$ are defined as follows:
A) $\hat { Y } _ { i } - \widehat { \beta } _ { 0 } - \widehat { \beta } _ { 1 } X _ { i }$
B) $Y _ { i } - \beta _ { 0 } - \beta _ { 1 } X _ { i }$
C) $Y _ { i } - \hat { Y } _ { i }$
D) $\left( Y _ { i } - \bar { Y } \right) ^ { 2 }$

Question

The OLS residuals, $\hat { u } _ { i } ,$  are defined as follows:
A) $\hat { Y } _ { i } - \widehat { \beta } _ { 0 } - \widehat { \beta } _ { 1 } X _ { i }$
B) $Y _ { i } - \beta _ { 0 } - \beta _ { 1 } X _ { i }$
C) $Y _ { i } - \hat { Y } _ { i }$
D) $\left( Y _ { i } - \bar { Y } \right) ^ { 2 }$

Quizplus · Accepted Answer

The OLS residuals are the differences between the observed values $Y_i$ and the predicted values $\hat{Y}_i$.

The OLS Residuals u^i,\hat { u } _ { i } ,u^i​,

The OLS Residuals $\hat { u } _ { i } ,$