Answer:
Correct statements are: (A), (B) and (C).
Step-by-step explanation:
A population regression line is of the form:
[tex]Y_{i}=\beta_{0}+\beta_{1}X_{i}+\epsilon_{i}[/tex]
Here:
Y = response variable
X = explanatory variable
β₀ = intercept
β₁ = slope
ε = error term
The population parameters are β₀ and β₁.
The mean value of the response variable has a straight line relationship with the explanatory variables.
[tex]E(Y_{i})=\beta_{0}+\beta_{1}E(X_{i})[/tex]
The value of the response variable can be computed using the explanatory variable values.
The population regression line is computed using the population data values.
Thus, the statements correct about the population regression line are (A), (B) and (C).
