Answer:
d)the estimated average of Y is 2 when X1 and X2 equals zero.
Step-by-step explanation:
Hello!
The multiple regression model with two independent variables is:
Y= β₀ + β₁X₁i + β₂X₂ + εi
Where
β₀ is where Y intercepts the line, in terms of the regression, is the value of the population mean of the dependent variable when X₁ and X₂ are cero.
β₁ is the slope of the variable X₁, in terms of the regression, is the change that suffers the population mean when X₁ increases one unit and X₂ remains constant.
β₂ is the slope of the variable X₂, in terms of the regression, is the change that suffers the population mean when X₂ increases one unit and X₁ remains constant.
When you calculate the estimated plane for the multiple regression you have tree estimators for each βi, were:
Y= b₀ + b₁ X₁ + b₂ X₂
b₀ estimates β₀
b₁ estimates β₁
b₂ estimates β₂
interpreted in colloquial language b₀ is the value of the sample mean of Y when X₁ and X₂ are cero.
With this in mind, the correct answer is d.
I hope you have a SUPER day!
