To determine the intercept and slope coefficient in a simple linear regression line of Y on X, all the following conditions will be used except for what?
A) $\frac { \sum _ { i = 1 } ^ { N } \left( Y _ { i } - b - m X _ { i } \right) } { N }$ = 0
B) $\frac { \sum _ { i = 1 } ^ { N } \left( Y _ { i } - b - m X _ { i } \right) X _ { i } } { N }$ = 0
C) $\frac{\sum_{i=1}^{N}\left(Y_{i}-m X_{i}\right) X_{i}}{N}$ = 0
D) $\frac { \sum _ { i = 1 } ^ { N } e _ { i } } { N }$ = 0

Question

Quizplus · Accepted Answer

Condition C is incorrect because it does not include the intercept term $b$ in the equation, which is necessary for calculating the intercept in a simple linear regression.

To Determine the Intercept and Slope Coefficient in a Simple ∑i=1N(Yi−b−mXi)N\frac { \sum _ { i = 1 } ^ { N } \left( Y _ { i } - b - m X _ { i } \right) } { N }N∑i=1N​(Yi​−b−mXi​)​

To Determine the Intercept and Slope Coefficient in a Simple $\frac { \sum _ { i = 1 } ^ { N } \left( Y _ { i } - b - m X _ { i } \right) } { N }$