Consider a model that uses the following variables to predict Y: X1 and X2 – two

Question

Consider a model that uses the following variables to predict Y:

X1 and X2 – two quantitative independent variables

X3 and X4 – two dummy variables used to describe a qualitative variable with 3 levels

X5 – a dummy variable used to describe a qualitative variable with 2 levels.

Suppose the best model turned out to be:

Which of the following is true about the y-x1 graph that you would draw?

Explanation / Answer

As this is the best model fit using a multiple linear regression using many independent variables, it is not necessary that there would be a parallel relationship between each of the independent variable and the dependent variable separately as well.

Therefore a) It is impossible to determine if the relationships would be parallel or non-parallel until further testing is done is the correct answer here.

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