Consider x1, x2 to be the independent variables and y the dependent variable, which of the following represents a linear regression model? A. y = a0 + a1/x1 + a2/x2 B. y = a0 + a1x1 + a2x2 C. y = a0+ a1x1 + a2x2 D. y = a0 + a1x12 + a2x2
Question
Consider x1, x2 to be the independent variables and y the dependent variable, which of the following represents a linear regression model? A. y = a0 + a1/x1 + a2/x2 B. y = a0 + a1x1 + a2x2 C. y = a0+ a1x1 + a2x2 D. y = a0 + a1x12 + a2x2
Solution
The correct answer is B. y = a0 + a1x1 + a2x2. This is the standard form of a linear regression model with two independent variables (x1 and x2). The coefficients a0, a1, and a2 are the parameters of the model that are estimated from the data. The term a0 is the y-intercept and a1 and a2 are the slopes of the regression line with respect to x1 and x2, respectively.
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