Question

For this problem, use the following multiple regression equation:

Yi^ = 25 - 2X1i + 9X2i

a. Interpret the meaning of the slopes
b. Interpret the meaning of the Y intercept

Answer 1

\(Ŷ = 25 - 2X_{1i} + 9X_{2i}\)


a.

\(β_1\) = Holding variable \(X_2\) constant, the slope of Y with variable \(X_1\) is ___

The slopes are easily recognizable if you know the multiple regression model.
\(β_2\) = Holding variable \(X_1\) constant, the slope of Y with variable \(X_2\) is ___


Fill in the blanks. The slopes are easily recognizable if you know multiple regression model Is there a scenario though? I don't know how you want it to be interpreted other than this.

b.

When variables \(X_1\) and \(X_2\) are 0, \(Ŷ\) is _____.

It is your \(β_o\) value. You can determine it easily.

Answer 2

Thank u i actually got it

Answer 3

NP