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In a multiple regression problem involving two independent variables, if b0 is computed to be +2.0, it means that:


a)the relationship between X1 and Y is significant.

b)the estimated average of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constant.

c)the estimated average of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.

d)the estimated average of Y is 2 when X1 and X2 equals zero.

Respuesta :

cchilabert

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!