In the event that you are trying to explain the variation in Y using the variables X and Z in a linear regression, the multiple regression line would be given by which of the following? A) Y = b + m₁X B) Y = b + m₁Z C) Y = b + m₁X + m₂Z D) Y = b + m₁X and Y = b + m₁Z

Question

Quizplus · Accepted Answer

In multiple regression, we use more than one independent variable to explain the variation in the dependent variable. The multiple regression line equation is given by:
Y = b + m1X1 + m2X2 + ... + mnXn
where Y is the dependent variable, b is the intercept, m1, m2, ..., mn are the regression coefficients of independent variables X1, X2, ..., Xn respectively. 
Therefore, in this case, we need to use both X and Z to explain the variation in Y. Hence, the correct equation is:
Y = b + m1X + m2Z
This matches with option C. Option D is incorrect because we need to include both X and Z in the same equation to explain the variation in Y.

In the Event That You Are Trying to Explain the Variation